Answer:
$0.73
Step-by-step explanation:
Let's say an orange costs O dollars and a grapefuit costs G dollars.
We add G dollars for each grapefuit and O dollars for each orange, so, for example, 12 grapefuit = G added 12 times = 12 *G = 12G
a.
6G = 10O
12G + 24O = 12
6 grapefuit = 6G = 10 oranges = 10O
b.
6G = 10O
12G + 24O = 12
We can solve this using substitution. First, we can solve the first equation for G. After that, we can plug that into the second to find O and go from there.
6G = 10O
divide both sides by 6 to remove the coefficient for G
G = (10/6)O
plug that into the second equation
12*(10/6)O + 24O = 12
20O + 24O = 12
44O = 12
divide both sides by 44 to solve for O
O=12/44 = 6/22
6G = 10O
6G = 60/22
divide both sides by 6 to solve for G
10/22 = G
c.
These solutions mean that an orange (O) costs 6/22 dollars and a grapefuit (G) costs 10/22, so 1O + 1G = 16/22 dollars ≈ $0.73. Note that O and G are kept as fractions because they are not exact dollar amounts, e.g. 0.27 repreating
if you add two obtuse angles do they sometimes make supplamentary angles?
Answer:
No, they can NEVER make supplementary angles.
Step-by-step explanation:
Two angles are supplementary when they add to 180 degrees. Since two obtuse angles have their angles greater than 90 degrees, they can never be supplementary. Let's take the angles as 91 degrees (the lowest whole obtuse measure). 91 + 91 = 182, which is more than 180.
Therefore, the answer is no.
Answer:
Adding two obtuse angles can never make supplementary angles.
Step-by-step explanation:
An obtuse angle has a measure of greater than 90°, and less than 180°.
Supplementary angles are two angles whose sum add up to 180°.
We must determine whether adding two obtuse angles can make them supplementary angles through the following example.
Example:Suppose that we have two obtuse angles:
m ∠ 1 = 90.1°
m∠ 2 = 90.1°
Let us add these two obtuse angles together to determine whether their sum is at most 180°.
m ∠ 1 + m ∠ 2 = ?
90.1° + 90.1° = 180.2°
Since their sum is greater than 180°, then it means that they are not supplements.
Conclusion:Adding two obtuse angles will have a sum of greater than 180°, thus making them invalid as supplementary angles.
A culture of bacteria has an initial population of 74000 bacteria and doubles every 3 hours. Using the formula
P
t
=
P
0
⋅
2
t
d
P
t
=P
0
⋅2
d
t
, where
P
t
P
t
is the population after t hours,
P
0
P
0
is the initial population, t is the time in hours and d is the doubling time, what is the population of bacteria in the culture after 13 hours, to the nearest whole number?
Using an exponential function, it is found that the population of bacteria in the culture after 13 hours is of 1,491,747.
An exponential function, with a doubling time of d, after t hours, is given by:
[tex]A(t) = A(0)(2)^{\frac{t}{d}}[/tex]
In which A(0) is the initial amount.In this problem:
The doubling time is of 3 hours, hence [tex]d = 3[/tex].The initial population is of 74000 bacteria, hence [tex]A(0) = 74000[/tex].Then:
[tex]A(t) = A(0)(2)^{\frac{t}{d}}[/tex]
[tex]A(t) = 74000(2)^{\frac{t}{3}}[/tex]
After 13 hours:
[tex]A(13) = 74000(2)^{\frac{13}{3}} = 1491747[/tex]
The population of bacteria in the culture after 13 hours is of 1,491,747.
To learn more about exponential functions, you can take a look at https://brainly.com/question/25958656
Is there a relationship between deforestation and Global climate change
Answer:
There is a relationship between Deforestation and Global Climate Change.
Step-by-step explanation:
Deforestation is a cause of global climate change.
13)The final grade on your math exam was determined by the function f(x) = 100 - 2x. Which statements are correct?
A) 100 is the maximum grade,
B) y equals your final grade..
C) This is an exponential function.
D) 2 is what each question is worth.
E) x is the number of correct problems
Answer:
A, B, D
Step-by-step explanation:
from this function, we can see that 2x is being subtracted from 100. x is the number of incorrect problems, so this can not be a negative value. therefore, the maximum score you can get is 100. y is equal to your final grade as calculating the right side of the equation results in the grade you receive based on the number of incorrect answers. this is a linear function since its highest power is 1. each question is worth 2 points as 2 is being multiplied by the number of incorrect questions (x).
Find 51% of the number 93.
Answer:
47.43
Step-by-step explanation:
To find 51% of the number 93, multiply the latter by 0.51:
0.51(93) = 47.43
Answer:
47.43
Step-by-step explanation:
51% of 93
[tex]\frac{51}{100}\times \frac{93}{1}[/tex]
[tex]=\frac{4743}{100\times \:1}[/tex]
[tex]=\frac{4743}{100}[/tex]
is 4.57691 rational?
Answer:
Possibly
Step-by-step explanation:
Depending on how the number is depicted, there are some easy tells. If the number is an integer, or a finite decimal, or decimal with an infinitely repeating portion (like ), or a fraction with integers, finite decimals, or repeating decimals
-4+6p+18+3p=9(p+1)+5
What is the answer?
Answer:
Step-by-step explanation:
Expand
-4 + 6px + 18 + 3p = 9p + 9 + 5
Simplify
14 + 9p = 9p + 14
Solve
Take away 14 from both sides
9p = 9p
p = p
p = 0
Step-by-step explanation:
as shown in the photo
p equals to p
Find the value of x.
Answer:
Step-by-step explanation:
The line which 3x represents is twice as big as the 48. That's because both sides other than the base are bisected.
3x = 2 * 48
3x = 96 Divide by 3
3x/3 = 96/3 Combine
x = 32
Need help with properties if dilations homework
With a dial action, although the dilated image may get smaller or larger the angles/ slope of lines would remain the same.
Slope = change I. Y over the change in X
Slope = (5-4) /(3-2) = 1/1 = 1
Slope = 1
Find the greatest common factor. 54,81
54: 1, 2, 3, 6, 9, 18, 27, and 54
81: 1, 3, 9, 27, and 81
Which number line model represents the expression -\dfrac23+\left(-\dfrac13\right)−
3
2
+(−
3
1
)minus, start fraction, 2, divided by, 3, end fraction, plus, left parenthesis, minus, start fraction, 1, divided by, 3, end fraction, right parenthesis?
Choose 1 answer:
Answer:
: If you cut it in 2 equal-sized pieces and eat one, you have eaten ... whole number - you will get a fraction equivalent to 1/ 2
Answer:
XD yall all ways doing this to me so yall somthings don't give me the Answer
Step-by-step explanation:
Find the missing parts of the triangle. Round to the
nearest tenth when necessary or to the nearest minute
as appropriate.
1) C = 105.8°
a = 4.7 km
b = 8.3 km
A) No triangle satisfies the given
conditions.
B) c = 16.4 km, A = 23.2°, B = 51°
C) c = 13.5 km, A = 27.2°, B = 47°
D) c = 10.6 km, A = 25.2°, B = 49°
Answer:
1) C = 105.8°
Step-by-step explanation:
Greg is recording the changes in his bank account balance. In the morning, he records a deposit of $7. In the afternoon, he records a purchase of
$8
Create two expressions that each represent the total change in Greg's bank account balance after his deposit and purchase. Move numbers
to the lines to create the expressions.
Expression a: _-_
Expression b: _-_
Choices -8, -7, 7, 8
Answer:
Step-by-step explanation:
i think that it is either -7 - -8 or -7 + 8 or -7+-8.
Two expressions that each represent the total change in Greg's bank account balance after his deposit and purchase are
Expression a = 7 - 8
Expression b = -8 - (-7)
What is expression?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between. The mathematical operators can be of addition, subtraction, multiplication, or division.
For example, x + y is an expression, where x and y are terms having an addition operator in between.
Given,
Greg records deposit of $7
He records purchase of $8 b
Total change = 7 + (-8)
Expression a = 7 - 8
Expression b = -8 - (-7)
Hence, 7 - 8 and -8 - (-7) are the two expressions for total change in Greg's bank account after his deposit and purchase.
Learn more about expression here:
https://brainly.com/question/14083225
#SPJ2
Which of the following represents the zeros of f(x) = 6x3 − 31x2 + 4x + 5? (1 point)
Alisha has a five–year car loan of $15,000 with an interest rate of 6 percent. If the interest is compounded annually, how much will she pay in total for her car?
Answer:
$20,073.38
Step-by-step explanation: Step 1: Find the percentage. The formula for annual compound interest is A = P(1 + r)^t, where A = amount (total amount), P = principal (initial amount), r = rate (percentage), and t = time (in years). Our rate is 6%, which is 0.06 in decimal form. Add it to 1. 1 + 0.06 is 1.06.
Step 2: Raise 1.06 to the 5th power. Because we are finding the amount in 5 years, we do that step. 1.06^5 is 1.3382255776.
Step 3: Do not delete the decimal from the calculator. Multiply it by 15,000 to find the total amount. When you do, you get 20,073.383664 or 20,073.38 when rounded to the nearest hundredth.
Which graph shows a dilation?
The African elephant can weigh eight tons. A ton is two thousand
pounds. How many pounds can an African elephant weigh?
The perimeter of the figure is given. Find the length of the indicated side. 4x -4 is one side what's the unknown slide the figure is a rectangle Perimeter = 12x + 4 The length of the indicated side is
Answer:
2x+6
Step-by-step explanation:
Perimeter of a rectangle= 2(length + width)
12x+ 4= 2(length + 4x-4)
2(6x+2)= 2(length + 4x-4)
divide both sides by 2
6x+2= length+4x-4
length = 2x +6
3 friends share a cake in the ratio of 5:7:4. the cake costs Rs.96 how much does each share cost?
Answer:
Cost of each share is [tex]6Rs[/tex]
Step-by-step explanation:
Let the cost be [tex]5x,7x,4x[/tex]
We have
[tex]5x+7x+4x=96\\\\16x=96\\\\x=6[/tex]
Cost of each share is [tex]6Rs[/tex]
The equation y + 6 = one-third (X minus 9) is written in point-slope form. What is the equation written in slope-intercept form?
A: y = 1/3 x - 3
B: y = 1/3 x + 9
C: y = 1/3 x - 9
D: y = 1/3 x + 3
Plz help. Find the value of each variable. 1. 95° 120° 4120° 125° x + 840° .
Answer:
Step-by-step explanation:
1.
Which expression is equivalent to 5(3x + 1)(x − 2)(x – 3)?
Answer:
15x^3-70x^2+65x+30
Step-by-step explanation:
1) 5(3x+1)= (15x+5)
2) (15x+5)(x-2)=15x^2-25x-10
3) (15x^2-25x-10)(x-3)=15x^3-70x^2+65x+30
How do i do 5√2 x 3√2? Please show a step by step explanation Thank you <3
Step-by-step explanation:
As it's a product, just multiply each number! We notice there are 2 identical square roots multiplied, and we know that: [tex]\sqrt{x} * \sqrt{x} = x\\[/tex].
So we'll remain with: 5 * 2 * 3 = 30.
:)
Answer:
30
Step-by-step explanation:
First multiply 2 square root with 2 square root and since they are identical the answer will be 2.
Now multiply 3 and 5:
3×5= 15
Now we have two numbers 15 and 2, we will multiply 15 with 2 and we get 30
I couldn't explain well but I hope you understand
Solve for x. x^2+6x+9=0
Answer:
x=-3
Step-by-step explanation:
x^2+6x+9=0
Factor
(x+3)(x+3) =0
Using the zero product property
x+3 =0 x+3=0
x=-3 x=-3
Solution
x=-3
For f(x) = 4 - x and g(x) = 3x² + x + 5, find the following functions.
a.
(fog)(x); b. (gof)(x); c. (fog)(3); d. (gof)(3)
y=1.5x+8 which represents the equation when solved for x?
[tex]y=1.5x+8\\\\\implies 1.5x = y-8\\\\\implies x = \dfrac{y-8}{1.5}\\\\\implies x = \dfrac{y-8}{\tfrac 32}}\\\\\implies x = \dfrac{2(y-8)}{3}\\\\\implies x = \dfrac 23 y- \dfrac{16}3[/tex]
2/3 of 12 3/8
this is easy but im dum.b
Answer: 17/2
Step-by-step explanation: 2/3 of 12 3/8 = 8.25
8.25 as a fraction= 17/2.
Answer:
17 divided by two
Step-by-step explanation:
20 Points Please Help
What are the other steps?
Answer:
63 degrees
Step-by-step explanation:
Angle IGH is 40 degrees because it is vertical to angle BGD.
Angle HIG is 77 degrees because it is a linear pair with CIH.
Since 2 of the angles of triangle GHI are 40 and 77 degrees, and the 3 angles add to 180, angle IHG must be 63 degrees
The lines represented by the equations y=-2x-6 and 2y+x=-16 are
Answer:
Is that the entire question? I want to help but I don't see a full question it looks like half of one