Answer:
15 gallons
Step-by-step explanation:
360 divided by 120= 3
3×5=15
Please help i’m begging due in a bit❗️❗️❗️❗️❗️❗️
3. 300
4. $180
5. $23.75
6. $102.6
Answer: 1 is 300 2 is 180 3 is 23.75 and the fourth one is 102.6
Step-by-step explanation: dont forget to add your $ signsss
How many pounds of walnuts that cost $.80 per pound must be mixed with 8 pounds of cashews that cost $1.25 per pound to make a mixture of nuts that cost $1.00 per pound?
How many pounds of walnuts that cost $.80 per pound must be mixed with 8 pounds of cashews that cost $1.25 per pound to make a mixture of nuts that cost $1.00 per pound?
Let
x ------> pounds of walnuts
we have that
0.80x+
Danielle earns a 7.75% commission on everything she sells at the electronics store where she works. She also earns a base salary of $725 per week. How much did she earn last week if she sold $4,500 in electronics merchandise?
Round your intermediate calculations and answer to the nearest cent.
If Danielle sold $4500 in electronics merchandise last week then she earn a total of $1073.75 .
In the question ,
it is given that
Commission of Danielle on everything she sells at electronic store = 7.75%
Base salary of Danielle = $725
amount of electronics merchandise sold by Danielle last week = $4500
So according to question
money earn = base salary + 7.75% of 4500
substituting the value of base salary as $725
= 725 + 0.0775*4500
= 725 + 348.75
= 1073.75
So, Danielle earns $1073.75 .
Therefore , If Danielle sold $4500 in electronics merchandise last week then she earn a total of $1073.75 .
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A b c or d in problem below
The value of the expression will be;
⇒ log₅ (1/25) = - 2
Option D is true.
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
⇒ log₅ (1/25)
Now,
Solve the expression as;
⇒ log₅ (1/25)
Since, log (a/b) = log a - log b
Hence,
⇒ log₅ (1/25) = log₅ 1 - log₅ 25
Since, log 1 = 0
⇒ log₅ (1/25) = 0 - log₅ 25
⇒ log₅ (1/25) = - log₅ 5²
Since, log a² = 2 log a
⇒ log₅ (1/25) = - 2 log₅ 5
Since, log₅ 5 = 1
⇒ log₅ (1/25) = - 2 x 1
⇒ log₅ (1/25) = - 2
Thus, The value of the expression will be;
⇒ log₅ (1/25) = - 2
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Factor 15x³-5x+6x-2 by grouping. What is the resulting expression?
O (5x²+2)(3x-1)
O (5x²-2)(3x+1)
O (15x+2)(x-1)
O (15x²-2)(x+1)
Answer: Choice A. [tex](5\text{x}^2+2)(3\text{x}-1)[/tex]
==================================================
Work Shown:
[tex]15\text{x}^3-5\text{x}^2+6\text{x}-2\\\\(15\text{x}^3-5\text{x}^2)+(6\text{x}-2)\\\\5\text{x}^2(3\text{x}-1)+2(3\text{x}-1)\\\\(5\text{x}^2+2)(3\text{x}-1)\\\\[/tex]
Explanation:
The idea is to pair up the terms into two groups. Factor each group separately. Then we pull out the overall GCF (3x-1) to finish up the factorization. You can use the FOIL rule to expand out the answer to get the original expression again, which helps confirm the answer.
2. Find the missing measure
Answer: 129
Step-by-step explanation: 180-51
Answer:
129.
Step-by-step explanation:
it's 129 believe me
seven distinct pieces of candy are to be distributed among three bags. the red bag and the blue bag must each receive at least one piece of candy; the white bag may remain empty. how many arrangements are possible?
Using combination, there are 1932 arrangments possible.
A combination is a mathematical approach that counts the number of potential configurations in a box containing objects, regardless of their order.
In combinations, we can select items in any order. In combinations, the order doesn’t matter.
The combination formula of given as: n! / r!(n-r)!
Each candy would be distributed in three different ways if there were no limits on how many candies might fit in a bag. 3⁷ different ways to distribute the sweets in this scenario. However, only empty blue and red bags count in this scenario.
There are 2⁷ methods to distribute candy if the red bag is left empty.
Similarly, for the blue bag.
Hence there are 2⁷ +2⁷ – 1 ways to distribute candy such that either blue or red bag is empty.
The total amount of circumstances and ways to deliver the sweets
= 3⁷ – (2⁷ + 2⁷ -1)
= 1932
Therefore, there are a total of 1932 arrangements possible.
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Amber wants to put a carpet on the floor of her bedroom. The floor is a square with an area of 7.29 square feet. How long should the piece of carpet on each side
The piece of carpet on each side of the floor will be 10.8 feet.
How to calculate the value?From the information, Amber wants to put a carpet on the floor of her bedroom and the floor is a square with an area of 7.29 square feet.
It should be noted that the side will be
= ✓7.29
= 2.7 feet.
Therefore, the perimeter will be found and this will be:
= 4 × side
= 4 × 2.7
= 10.8 feet
This illustrates the length.
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water use per day in the summer in phoenix is normally distributed with mean of 310 millions of gallons and standard deviation of 45 millions of gallons. city reservoirs have a combined storage capacity of nearly 350 million gallons. city reservoirs have a combined storage capacity of nearly 350 million gallons. (a) what is the probability that a day requires more water than is stored in city reservoirs?
The probability that a day requires more water than is stored in city reservoirs will be; 0.965
What is a z- score?The z-score is a numerical measurement used in statistics to refer to how much a given value differs from the standard deviation.
Given that Water use in the summer is normally distributed with a mean of 310 million gallons and a standard deviation of 45 million gallons.
Let X be the random variable that shows the quantity of water required on a particular day.
Z-score :
[tex]Z = \dfrac{X - \mu}{\sigma},[/tex]
Now, the probability that a day requires more water than is stored in city reservoirs will be;
[tex]Z = \dfrac{350 -310}{45},[/tex]
Z = 0.965
We can see that the above value to the given P(X > 350)= 1 - P(Z < b), we get the value of b is; 0.965.
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HELPPPP ME PLEASE!!!!
Always True
Sometimes True
Never True
Answer:
always
never
always
always (not 100% sure)
sometimes
sometimes (not 100% sure)
Step-by-step explanation:
this is what I got, hope it helps
A toy company that makes bubbles fills its 8-ounce bottles using a machine. To check that the machine fills the bottles with the proper amount, the company randomly checks bottles off the assembly line. A bottle passes inspection if the percent error of the amount is 2% or less. What is the range of values that a bottle could contain to pass inspection? Round to the nearest hundredth.
oz to
oz???
The range of values that a bottle could contain to pass inspection will be 7.840 - 8.160 ounces.
How to calculate the value?It was stated that the toy company that makes bubbles fills its 8-ounce bottles using a machine.
The bottle passes inspection if the percent error of the amount is 2% or less. The minimum range will be:
= 8 ounces - (2% × 8 ounces)
= 8 ounces - 0.16 ounces
= 7.84 ounces
The maximum range will be:.
= 8 ounces + (2% × 8 ounces)
= 8 ounces + 0.16 ounces
= 8.16 ounces.
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The allowable range for the toy company is [7.84, 8.16].
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, the allowable percentage error is 2% or less.
Now, 2% of 8 ounces is,
= (2/100)×8.
= 0.16 ounces.
So, the allowable range is from (8 - 0.16) = 7.84 ounces to
(8 + 0.16) = 8.16 ounces.
As it is being given that it is 2% or less we'll use include the least value too.
So, the allowable range of the bottles is [7.84, 8.16].
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a package container 72 plastic cups 17.99
Approximately, the unit cost of the plastic cups is $0.25
Here, we want to get the unit rate of the plastic cups
By unit rate, we mean the price of 1
From the question, the total 72 costs $17.99
The cost of one is thus;
[tex]\frac{17.99}{72}\text{ = 0.25}[/tex]Properties of equality can be used to justify steps in solving an equation.
ANSWER:
4x-1=27
or,4x=27+1
or, x=28/4
or, x=7
A line has a slope of 4/5 and passes through point (-2,6) . Write an equation of the line in slope point form
Write an equation of the line in slope- point form
[tex]y- 6 = \frac{4}{5} (x+2)[/tex]
How to write the point- slope form of the equation?
We know, the point- slope formula is given by,
[tex]y-y_1=m(x-x_1)[/tex]
Given:
m= 4/5
[tex](x_1,y_1)= (-2,6)[/tex]
So, the equation of the line is,
[tex]y-y_1=m(x-x_1)\\\\y- 6 = \frac{4}{5} (x+2)[/tex]
It can also be written as ,
y- 6 = 0.8 (x+2)
What is point- slope form?
The equation of the straight line that is inclined at a specific angle to the x-axis and passes through a specific point can be found using the point slope form. A line's equation is an equation that each and every point on the line can solve. Thus, a line can be represented by a linear equation with two variables. Only when we are aware of both the slope of the line and a point on the line can we utilize the point slope formula.To learn more about point -slope form, refer:
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A local carnival charges $7.50 for adult admission and $5.25 for child admission. The carnival made $378 in an hour. The carnival
admitted twice as many children as adults.
How many adults and children were admitted in the hour?
Answer:
21 adults42 childrenStep-by-step explanation:
You want to know how many adults and children were admitted if there were twice as many children who paid $5.25 for admission as there were adults who paid $7.50, and total admission revenue was $378.
SetupLet 'a' represent the number of adults admitted. Then 2a is the number of children. The total revenue is ...
7.50a +5.25(2a) = 378
SolutionCollecting terms, we have ...
18a = 378
a = 21 . . . . . . . divide by 18
2a = 2·21 = 42 . . . . . find the number of children admitted
21 adults and 42 children were admitted.
21 adults were admitted.
42 children were admitted.
Describe algebra.Algebra is one of the numerous subfields of mathematics. The study of mathematical symbols and the rules for employing them in formulas is commonly referred to as algebra, which runs across almost all of mathematics.
Due to that,
Carnival earns a total of $378 in one hour.
Adult fees are $7.50.
Children's fees equal $5.25
Suppose that the carnival allows twice as many youngsters as adults.
If there are x adult, then
Children will thereafter be twice as many.
Since,
$378 is the total amount from both adults and children.
Then,
7.50x + 5.25(2x) = 378
7.50x + 10.50x = 378
18x = 378
x = 378 / 18
x = 21
As x was the total number of adults
Then, in an hour, 21 adults were admitted.
Since there were a total of two children,
Next, there were
42 kids were admitted in an hour (2(21)).
As a result, 42 kids and 21 adults were admitted in one hour.
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Rigid transformations are used to map the triangle formed by A(0,0),B(3,0),C(3,4) to triangle A ′ B ′ C ′ . If the coordinates of A ′ , B ′ And C′ are A ′ (−2,1) and B ′ (−2,−2) , what are the two possible answer for C’
The possible coordinates of the point C are : (-6,-2) and (2,-2).
A stiff transition called a rotation involves turning the item around a center point. The direction is changed, but the shape is still oriented in the same way. You can spin a form in any direction. A 180 degree rotation of the triangle is made around point C. A rigorous transition like this one may be seen here.
Rotation and translation are the only two elements of a rigid transformation. It does not alter the size or shape of an input object, nor does it involve reflection.
Hence as the graph shows, the coordinates of C' could be:
(-6,-2) and (2,-2)
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what are the coordinates of r, the image of r(-4,3) after s reflection in the line y=x
Answer:
(3, - 4 )
Step-by-step explanation:
under a reflection in the line y = x
a point (x, y ) → (y, x ) , then
(- 4, 3 ) → (3, - 4 )
Work out the area of this circle.
Take to be 3.142 and write down all the digits given by your calculator.
10 cm
please help !!
Answer:
Area is 314.2 cm²
Step-by-step explanation:
- Consider a circle whose radius is r, while calculating its area, the formula is derived from its circumference;
[tex]{ \rm{circumference = 2\pi r}}[/tex]
- but area is the integral of circumference;
[tex]{ \rm{area = \int circumference }} \\ \\ { \rm{area = \int2\pi r \: dr}}[/tex]
- Assume area is between the center to the edge from r = 0 to r = r
[tex] { \rm{area = 2\int^{r}_{0}\pi r \: dr}} \\ \\ { \rm{area = 2[\pi ( \frac{ {r}^{2} }{2} )]^{r} _{0} }} \\ \\ { \rm{area = \pi {(r)}^{2} - \pi {(0)}^{2} }} \\ \\ { \boxed{ \rm{area = \pi {r}^{2} }}}[/tex]
- From the question given, the circle has a radius of 10cm
[tex]{ \rm{area = 3.142 \times {10}^{2} }} \\ \\ { \bf{area = 314.2 \: {cm}^{2} }}[/tex]
[tex]{ \boxed{ \red{ \delta}}}{ \underline{ \red{ \mathfrak{ \: \: creed}}}}[/tex]
HELP URGENT!!!
Find the common ratio of the geometric sequence 19.
38, 76, ...
The common ratio of the Geometric sequence 19, 38, 76 .... is 2.
What is common ratio of the Geometric sequence ?The distance between each number in a geometric series is known as the common ratio.
The reason it is common to all numbers and also the ratio between two consecutive numbers in the sequence is why it is known as the common ratio.
Divide the nth term by the (n-1)th term in a geometric series to find the common ratio.
The common ratio of the Geometric sequence 19, 38, 76 is
common ratio = (38/19) = 2
or common ratio = 76/38 = 2
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Dan spent half of his weekly allowance. He then earned $8.90 by completing some chores. What is his weekly allowance if he currently has $14.70 (prior to getting his weekly allowance he had $0)?
The required allowance that Dan has prior is given as $11.6.
Given that,
Dan spent half of his weekly allowance. He then earned $8.90 by completing some chores. What is his weekly allowance if he currently has $14.70 (prior to getting his weekly allowance he had $0) is to be determined.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication, and division,
Here,
Let the allowance Dan has be x,
According to the question,
x/2 + 8.90 = 14.70
x = 29.40 - 17.80
x = $11.6
Thus, the required allowance that Dan has prior is given as $11.6.
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It rained all week, and it created a leak in the roof! The roof repair was $100.00 for the repairman to come and fix it.
What is the balance after the roof repair$
Answer:
100.00
Step-by-step explanation:
it's 100.00 because the roof is being repaired and the person will have to pay after
Adam’s house is 12 miles from his house. It takes his older brother 20 minutes to drive him school. What is his brother’s driving speed
Step-by-step explanation:
I assume we want ca miles/hour answer as speed.
but just formally, any distance per time unit is speed.
in that sense
12 miles / 20 minutes = 3 miles / 5 minutes
is the speed.
but now to convert this to miles/hour.
we want to multiply 3/5 or 12/20 by f/f, so that the denominator is 1 hour.
by multiplying the numerator by the same value we make sure the speed ratio remains the same.
so, what "f" do we need to multiply 20 with to get 60 (1 hour = 60 minutes) ?
right, f = 3
therefore, we get
12/20 × 3/3 = (12×3)/(20×3) = 36/60 = 36 miles / 1 hour
his brother's driving speed was 36 miles/h or 36 mph.
Help me please I need help pleeeeeeeeeeaaaaaaaaaaase help I’ll give brainly
The Area of a Rectangle as a Sum and as a Product are as follows:
21. Area as sum = 12x + 60
Area as Product = 12(x + 5)
22. Area as sum = 5x + 20
Area as Product = 5(x + 4)
How to find the Area of a Rectangle as a Sum and as a Product?As a product, we can multiply the height and the base of the rectangle.
As a sum, we can estimate the area finding the sum of the areas of each piece of the rectangle.
The missing pieces that will fill into the circles exists shown in the diagram attached below. The Area of a Rectangle as a Sum and as a Product are as follows:
21. Area as sum = 12x + 60
Area as Product = 12(x + 5)
22. Area as sum = 5x + 20
Area as Product = 5(x + 4)
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Question 7 (2 points) Solve for x.
Round to the nearest hundredth.
cos x = 11.3/16.6
Blank 1:
Blank 2:
Answer:+0.82 and -0.8
Step-by-step explanation:
PLEASE HELPPPPP
Which graph represents the same relation as the set
♦
5
4
3
2-
1
--5-4-3-2-1₁ 1 2 3 45
-2+
-3
4 9
st²
•
t{(-3,2).(5.5).(3.3).(3.-2)}?
X
Answer: I think it’s t{(-3,2).(5.5).(3.3).(3.-2)}
Step-by-step explanation:
Eyesight is key m’lady
The first graph represents the same relation as the set {(-3,2).(5.5).(3.3).(3.-2)}
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
The given relation is {(-3,2).(5.5).(3.3).(3.-2)}
We have to find the graph which represents the relation of the set
A binary relation on a set may, or may not, hold between two given set members.
The first number in the ordered pair represents the x coordiantes
The second number in the ordered pair represents the y coordiantes
When we match the ordered pairs with the given graphs
The first graph matches with the given relation
Hence, the first graph represents the same relation as the set {(-3,2).(5.5).(3.3).(3.-2)}
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Given mn, find the value of x.
Answer:
(6x-7)°
(4x-1)⁰
The value of x after solving the expression is 3.
What is an expression?
An expression or mathematical expression is a finite collection of symbols that is well-formed according to context-dependent norms. To assist identify the sequence of operations and other features of logical syntax, mathematical symbols can denote numerals (constants), variable, operations, equations, brackets, punctuation, and grouping. Many writers differentiate between an expression and a formula, with the former referring to a mathematical item and the latter referring to a statement about mathematical things. However, in modern mathematics, and particularly in computer algebra, formulae are considered as expressions that may be evaluated as true or false based on the values assigned to the variables in the expressions.
Given expression 6x-7 = 4x-1
or, 6x-4x = -1+7
or, 2x = 6
or, x = 6/2 = 3
Hence, the value of x after solving the expression is 3.
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Pls help Me its Due tonight I really struggle and have no time to do this pls help me .
The factorized polynomial 6x² + 15xy -14x -35y is given as (2x + 5y) (3x - 7)
Factorization of PolynomialsA polynomial is an expression consisting of a sum of a finite number of terms, each term being the product of a constant coefficient and one or more variables raised to a non-negative integer power.
To solve this problem, we simply need to factorize the polynomial given.
[tex]6x^2 + 15xy - 14x - 35y[/tex]
Let's look for a common factor and factorize similar or like terms.[tex]6x^2 + 15xy - 14x - 35y\\(2x + 5y) (3x - 7)[/tex]
This is the the reduced or factorized form of the given polynomial.
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Sun shades are sold in the shape of right isosceles triangles. If the equation represents one shade that shields 64 square feet of area, which system can be used to find the lengths of the legs of the sun shade?
The length of the legs of the sun shade is 8√2 feet.
The equation used is option b , y = 1/2x² and y = 64
Isosceles triangle: What is it?
A triangle with two sides that have the same length is said to be isosceles.
Given,
Area of triangle = 64 sq.ft
Here, an isosceles triangle has two equal sides
Let
x is equal to the length side of a right isosceles triangle's leg.
y is the area of a right isosceles triangle at position
Currently, the legs of a right isosceles triangle are equal.
Area of triangle = 1/2 × base × height
y = 1/2 × (x) × (x)
y = x²/2
64 = x²/2
128 = x²
x = √128
x = 8√2
The length of the legs of the sun shade is 8√2 feet.
The equation used is option b , y = 1/2x² and y = 64
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Answer:
Step-by-step explanation:
first part: B.
second part: -11.3 or 11.3, 11.3
What is the slope of the line that contains these points? 13 12 14 15 V -4 2. 8 14 y slope:
ok
Slope = (y2 - y1) / (x2 - x1)
P1 = (12, -4)
P2 = (14, 8)
Substitution
Slope = (8 - - 4) / (14 - 12)
= (8 + 4) / 2
= 12/2
= 6
Result
Slope = 6
HELPPPPP!!!!!!!!!!!!!!!!!!!!!1
Two similar triangles are shown below:
Two triangles are shown. The sides of the triangle on the left are marked 4, 5, 6. The sides of the triangle on the right are marked as 3, 2, and 2.5. For the triangle on the left, the angle between sides marked 6 and 5 is labeled as a, marked by a double arc, and the angle between the sides marked 6 and 4 is labeled as b, marked by a single arc. The third angle is marked by a triple arc. For the triangle on the right, the angle between sides marked 2 and 3 is labeled as c and the angle between the sides marked 2.5 and 3 is labeled as d, marked by a double arc. The angle between the sides 2 and 2.5 is labeled as e, marked by a triple arc, and it is also the angle on the top vertex of this triangle.
Which two sets of angles are corresponding angles? (4 points)
Group of answer choices
∠a and ∠e; ∠b and ∠c
∠a and ∠c; ∠b and ∠d
∠a and ∠e; ∠b and ∠d
∠a and ∠d; ∠b and ∠c
Step-by-step explanation:
the 2 triangles are similar.
that means their corresponding angles are equal, and their side lengths (and heights and so on) have all the same constant scaling factor.
so, we see that the side with the length 6 must corresponds to the side with the length 3 (factor 1/2).
as then the side with the length 5 corresponds to the side with the length 2.5, and the side with the length 4 corresponds to the side with the length 2 (all have the same factor 1/2).
a is the angle between 6 and 5 (the 2 longest sides).
the angle between the 2 longest sides in the smaller triangle (3 and 2.5) is d.
so, a and d correspond.
b is the angle between 6 and 4 (the longest and the shortest side).
the angle between the corresponding sides 3 and 2 is c.
so, b and c correspond.
therefore, the 4th and last answer choice is correct.