Answer:
Step-
In mathematics, a linear equation is an equation that may be put in the form a₁x₁+⋯+aₙxₙ+b=0, where x₁,…,xₙ are the variables (or unknowns), and b,a₁,…,aₙ are the coefficients, which are often real numbers. The coefficients may be considered as parameters of the equation, and may be arbitrary expressions, provided they do not contain any of the variables. To yield a meaningful equation, the coefficients a₁,…,aₙ are required to not all be zeroby-step explanation:
Check the equation for varying terms and constant terms. Usually, equations won't come with varying terms and constant terms lined up on separate sides.
In order to do this, you may have to subtract or add the numbers you want to move from both sides. ...
Move the varying terms to one side of the equation
The sides of a rectangle are in the ratio 2:5. If the longer side of the rectangle is 25.5
in., what are its width, perimeter, and area?
Answer: The width of the rectangle is 10.2 inches, the perimeter is 71.4 inches, the area is 260.1 inches.
Step-by-step explanation:
25.5/5=5.1
5.1*2=10.2
The width is 10.2 inches
25.5*2+10.2*2=71.4
The perimeter is 71.4 inches
20.5*10.2=260.1
The area is 260.1
1) The width of the rectangle is 10.2 in.
2) The perimeter of the rectangle is 71.4 in.
3) The area of the rectangle is 260.1 sq.in.
What is perimeter of rectangle?[tex]P=2\times(l+w)[/tex]
where, 'l' is the length of the rectangle
'w' is the width of the rectangle
What is the area of the rectangle?[tex]A=l\times w[/tex]
For given example,
The sides of a rectangle are in the ratio 2:5
The longer side of the rectangle is 25.5 in.
This means the length of the rectangle is [tex]l=25.5~in.[/tex]
Let 'x' represents the width of the rectangle.
⇒ [tex]\frac{2}{5} =\frac{x}{25.5}[/tex]
⇒ 2 × 25.5 = 5 × 'x'
⇒ 51 = 5x
⇒ x = 51/5
⇒ x = 10.2 in.
This means the width of the rectangle is 10.2 in.
⇒ [tex]l=25.5~in,~w=10.2~in.[/tex]
Using the formula of perimeter of the rectangle,
⇒ P = 2 × (25.5 + 10.2)
⇒ P = 2 × 35.7
⇒ P = 71.4 in.
Using the formula of area of the rectangle,
⇒ A = 10.2 × 25.5
⇒ A = 260.1 sq. in.
Therefore, the width of the rectangle is 10.2 in.
The perimeter of the rectangle is 71.4 in.
The area of the rectangle is 260.1 sq.in.
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help me, please this is kinda hard
Answer:
[tex]x = 4.8[/tex]
Step-by-step explanation:
[tex] \frac{3}{4} = \frac{3.6}{x} [/tex]
[tex]3x = 14.4[/tex]
[tex]x = 4.8[/tex]
Gabriel servers 80 glasses for fruit juice for a party. He pours 2/3 cup of fruit juice into each glass. How many cups of fruit juice in fractions does Gabriel pour in all?
Answer:
53 1/3 cups
Step-by-step explanation:
if there are 80 glasses and each glass has 2/3 of juice in it, there will be 53 1/3 cups in total because 80 x 2/3 = 53 1/3
all the points i have left
k12 7th grade math answer them both thx
Answer:
Use geogebra it is a helpful website that helps you plot points, and find where things go. The second one is c. y=25x.
Step-by-step explanation:
hey these are my grades and this weekend is the end of the school year I just need advice on getting my grades up
Answer:
Ask you teachers if they can give you extra assignments for extra credit! Sometimes they will!
The ages of MBA students at a university are normally distributed with a known population variance of 10.24. Suppose you are asked to construct a 95% confidence interval for the population mean age if the mean of a sample of 36 students is 26.5 years. If a 99% confidence interval is constructed instead of a 95% confidence interval for the population mean, then _______________________________________________.
Answer:
too difficult 99%(95%) fraction and decimal of 26.5 and (-36)
how do I complete these questions a bit confused . (extra credit work )
Answer:
(1)
[tex]a = \frac{3\sqrt 3}{2}[/tex]
[tex]b = \frac{3}{2}[/tex]
(2)
[tex]a = \sqrt 6[/tex]
[tex]b = \sqrt 2[/tex]
Step-by-step explanation:
Solving (1):
Considering
[tex]\theta = 60^o[/tex]
We have:
[tex]\sin(\theta) = \frac{Opposite}{Hypotenuse}[/tex]
This gives:
[tex]\sin(60^o) = \frac{a}{3}[/tex]
Solve for a
[tex]a = 3 * \sin(60^o)[/tex]
[tex]\sin(60^o) = \frac{\sqrt 3}{2}[/tex]
So:
[tex]a = 3 * \frac{\sqrt 3}{2}[/tex]
[tex]a = \frac{3\sqrt 3}{2}[/tex]
To solve for b, we make use of Pythagoras theorem
[tex]3^2 = a^2 + b^2[/tex]
This gives
[tex]3^2 = (\frac{3\sqrt 3}{2})^2 + b^2[/tex]
[tex]9 = \frac{9*3}{4} + b^2[/tex]
[tex]9 = \frac{27}{4} + b^2[/tex]
Collect like terms
[tex]b^2 = 9 - \frac{27}{4}[/tex]
Take LCM and solve
[tex]b^2 = \frac{36 - 27}{4}[/tex]
[tex]b^2 = \frac{9}{4}[/tex]
Take square roots
[tex]b = \frac{3}{2}[/tex]
Solving (2):
Considering
[tex]\theta = 60^o[/tex]
We have:
[tex]\sin(\theta) = \frac{Opposite}{Hypotenuse}[/tex]
This gives:
[tex]\sin(60^o) = \frac{a}{2\sqrt 2}[/tex]
Solve for a
[tex]a = 2\sqrt 2 * \sin(60^o)[/tex]
[tex]\sin(60^o) = \frac{\sqrt 3}{2}[/tex]
So:
[tex]a = 2\sqrt 2 * \frac{\sqrt 3}{2}[/tex]
[tex]a = \sqrt 2 * \sqrt 3[/tex]
[tex]a = \sqrt 6[/tex]
To solve for b, we make use of Pythagoras theorem
[tex](2\sqrt 2)^2 = a^2 + b^2[/tex]
This gives
[tex](2\sqrt 2)^2 = (\sqrt 6)^2 + b^2[/tex]
[tex]8 = 6 + b^2[/tex]
Collect like terms
[tex]b^2 = 8 - 6[/tex]
[tex]b^2 = 2[/tex]
Take square roots
[tex]b = \sqrt 2[/tex]
The first step in solving a problem is to write a let statement
Answer:
whats this? can you provide more context?
Step-by-step explanation:
The price of a video game was reduced from $60 to $45. By what percentage was the price of
the video game reduced?
F 15%
G 25%
H 75%
4096
Someone please help
Answer:
G. 25%
Step-by-step explanation:
given : The price of a video game was reduced from $60 to $45 .
$60 - $45 = $15
then, the percentage was the price of the video game reduced :-
reduction in price/previous price x 100 = 15/60 x 100 = 25%
the percentage was the price of the video game reduced = 25%
A parabola y=x^2 is what type of function?
an even function
an odd function
an asymmetric function
a one to one function
Step-by-step explanation:
The parabola has a line of symmetry at x=0 so that means we can reflect the function across the y axis and it will remain unchanged so the answer is even function.
Joey opened a bank account 5 years ago with $100.
Today he has $1,000 in the account.
What is the percentage of increase?
_____%
A person invests $4000: part of the investment is at 10% interest and the rest at 12% interest. If she received $460 at the end of the year in interest, how much was invested at each rate?(whole number in dollars)
Let x be the amount invested at 10%;
SO we have;
.10x=amount invested at 10%
(4000-x).12=amount invested at 12%
So our equation would be;
.10x+(4000-x).12=460
Distribute the 12%;
.10x+480-.12x=460
Put like terms together so you can see them better;
.10x-.12x+480=460
-.02x+480=460;
subtract 480 from both sides;
-.02x=-20
Multiply each side by -.02;
x=1000
Now that we know what was invested at 10% we can subtract that from $4000 to get what was invested at 12%;
$4000-$1000=$3000
Hope you understand
=)
the question is in the picture lol
The are of the triangle below is 9/20 square centimeters. What’s is the length of the base? Express your answer as a fraction in simplest form.
Answer:
6/5
Step-by-step explanation:
For this you need to clear the formula for the area which is bxh/2=A, now you need to clear the base and the formula would be b=Ax2/h, and would be (9/20)x2/ 3/4 equal to 18/20 / 3/4 and gives the result of 72/60,now you need to simplify and the simplest form is 6/5
The base of the triangle with area of 9 / 20 centimetres squared and height of 3 / 4 centimetres is 6 / 5 centimetres.
Area of a trianglearea of a triangle = 1 / 2 bh
where
b = baseh = heightTherefore,
area = 9 / 20 cm²
height = h = 3 / 4 cm
b = ?
Hence.
area of the triangle = 1 / 2 bh
9 / 20 = 1 / 2 × 3 / 4 × b
9 / 20 = 3 / 8 b
cross multiply
9 × 8 = 20 × 3b
72 = 60b
b = 72 / 60
b = 12 / 10 = 6 / 5
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Simplify this please.
Answer:
The answer is in the picture I couldn't type it sorry.
Step-by-step explanation:
What is the volume of a cylinder of a radius if 12cm and height 8cm
Answer:
V≈3619.11cm³
Step-by-step explanation:
Answer:
3619.11 cm³
Step-by-step explanation:
V = πr²h
π · 12² · 8
3619.11 cm³
1. At an elementary school, it's picture day. Two picture packages are available. Package 1
contains one class picture and ten wallet-size pictures for a cost of $19. Package 2 contains two
class pictures and fifteen wallet-size pictures. The cost of Package 2 is $31. Find the cost of an
individual class picture and the cost of an individual wallet-size picture.
9514 1404 393Answer:
class picture: $5wallet-size: $1.40Step-by-step explanation:
Let c and w represent the per-picture cost of the class picture and a wallet-size picture, respectively. The two packages can be described by ...
c +10w = 19
2c +15w = 31
Subtracting the second equation from twice the first, we get ...
2(c +10w) -(2c +15w) = 2(19) -31
5w = 7
w = 1.40
Substituting into the first equation, we can find the cost of a class picture.
c + 10(1.40) = 19
c = 5 . . . . . . . . . . . subtract 14
A class picture costs $5; a wallet-size picture costs $1.40.
The hypotenuse of a right triangle measures 17 cm. One leg of the triangle measures 15 cm. Find the length of the other leg of the triangle.
Answer:
Step-by-step explanation:
8 cm
275436
divisible by 11
The average salary for all 27 Arizona Diamondbacks in the 2005 baseball season was $2,308,488, with a standard deviation of $3,427,508. The population, all National League baseball players in 2005, earned an average salary of $2,585,804, with a standard deviation of $3,500,708. Does the average salary of the Diamondbacks players differ from that of all players in the National League
Answer:
The average salary of the Diamondbacks players does not differ from that of all players in the National League.
Step-by-step explanation:
1) Formulate null and alternate hypothesis
H0: u1= u2 Ha: u1 ≠ u2
The null hypothesis is that the average salary of the Diamondbacks players does not differ from that of all players in the National League
against the claim
that the average salary of the Diamondbacks players differ from that of all players in the National League
The data given is
x1`= $2,308,488, s1= $3,427,508 and n1 = 27
x2`= $2,585,804, s2=$3,500,708 and n2 = 27
2) The test statistic is
z= x1-x2/ sqrt( σ1 ²/n1 + σ2²/n2)
Putting the values
z = $2,308,488- $2,585,804/ sqrt( 3,427,508²/27 + 3,500,708²/27)
z= -0.294
3) The significance level is 0.05
The critical region is Z =±1.96
4) Since the calculated value of z= -0.294 is less than the z ∝=±1.96 we do not reject H0.
5) the P-value can be calculated using the calculator.
The p-value is p = 0.7687
The average salary of the Diamondbacks players does not differ from that of all players in the National League.
Your gross income is
$1945.63 of which you
get to keep 86% after
taxes.
Answer: You get to keep 1,673.24
You pay 272.38 in taxes.
A survey asks students who walk or ride a bike to school whether they live more than one
mile from school. The results are shown in the table. Based on the results, which conclusion is
best?
Way to Get
to School
Walk
Bike
Total
Live More Than 1 Mile from School
Yes
No
Total
10
31
41
32
27
59
42
58
100
of the students who ride a bike, about 27% live
more than one mile away.
of the students who ride a bike, about 76% live
more than one mile away.
of the students who live more than one mile
away, about 32% ride a bike.
of the students who live more than one mile
away, about 76% ride a bike.
Answer:
of the students who live more than one mile
away, about 76% ride a bike.
Step-by-step explanation:
Please help me I’m so lost PLEASE NO SCAMMING
Answer:
the buttons are alredy on the calculator.
Step-by-step explanation:
If event A is certain to occur, what is P(A)?
Answer:
Unless I'm misunderstanding it should be 100% or 1/1 because something that is 100% likely to happen will always happen.
Step-by-step explanation:
If there is anything else that may change my understanding of this please send it otherwise I hope this helps.
The value of P(A) is 1 where A is the event that is certain to occur because the probability of any event is 1 which means that event is certain to occur.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
It is given that:
If event A is certain to occur.
As we know,
From the definition of probability, the ratio of the number of favorable outcomes to the total number of outcomes
The value of the probability lies between 0 to 1 or [0, 1]
If the probability of any event is 0 that means that event cannot happen.
If the probability of any event is 1 that means that event is certain to occur.
Event A is certain to occure.
P(A) = 1
Thus, the value of P(A) is 1 where A is the event that is certain to occur because the probability of any event is 1 which means that event is certain to occur.
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plz answer these questions without putting links and files
what is 3/4 multiplied by 1/2 then add 3/4
what is 1 and 1/8 multiplied by 1/2 then add 3/4
Answer:
11/8 and 21/16
Step-by-step explanation:
3 x 1 = 3
4 x 2= 8
3/8+3/4(convert to eighth's)
3/8+6/8=11/8
1 1/8 = 9/8
9 x 1 = 9
8 x 2 = 16
9/16+3/4(convert to sixteenth's)
9/16+12/16
21/16
---
hope it helps
=3/4 × 1/2 + 3/4
=3/8 + 3/4
=9/8
2nd questions ans
=1×1/2 + 3/4
=1/2 + 3/4
=5/4
What two numbers multiply into (-24) and adds up to (-11)?
Answer:
-3 and -8
Step-by-step explanation:
Let the two numbers be called a and b respectively. We can say that ab=-24, and a+b=-11.
If a+b=-11, a=-11-b.
ab=-24
(-11-b)b=-24
b²+11b+24=0
(b+3)(b+8)=0
b=-3, b=-8
a=-11-b=-11+3=-8
a=-11-b=-11+8=-3
So the numbers are -3 and -8
amys older brother works 35 hours each week. if he works 18 dollars an hour how much does he earn in one week.
a 350
b 130
c 900
d 630
Answer:
He gets 630 dollars a week so the answer is D.
What is the value of p(24)?
Answer:
24p
Step-by-step explanation:
I'm pretty sure that this is the answer because the question was "What is the value P(24)?" which means you have to use the commutative property to reorder the terms.
Hope this helped!
Find the area of the composite figure. Round to the nearest tenth.
A.92.5 sq m
B. 200.5 sq m
C. 257.1 sq m
D. 596.4 sq m
Answer:
Surface area of figure = 200.52 meter²
Step-by-step explanation:
Given:
Side of square cut = 12 meter
Diameter of semi circle = 12 meter
Find:
Surface area of figure
Computation:
Diameter of semi circle = 12 meter
Radius of semi circle = Diameter of semi circle / 2
Radius of semi circle = 12 / 2
Radius of semi circle = 6 meter
Surface area of figure = Surface area of square + Surface of cylinder
Surface area of figure = [Side x Side] + πr²/2
Surface area of figure = [12 x 12] + (3.14)(6)²/2
Surface area of figure = [144] + (3.14)(36)/2
Surface area of figure = 144 + 56.52
Surface area of figure = 200.52 meter²
Three pounds of bananas cost $1.47 and 2 pounds of grapes cost $1.18. Which fruit is less expensive per pound? Explain how you know
Answer:
Grapes are less expensive
Step-by-step explanation:
First, find how much money 1 pound of each fruit is:
Bananas: $1.47 / 3 = $0.49
Grapes: $1.18 / 2 = $0.59
Compare:
0.49 < 0.59
So grapes are less expensive