How do I solve this problem?
Marla bought twice as many pounds of cherries as grapes. She paid $15.00 for a total of 4.5 pounds of both items. Cherries cost twice as much as grapes. How much do grapes cost per pound?

Answer:

k = -1/3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3(k−5)=−16

(3)(k)+(3)(−5)=−16(Distribute)

3k+−15=−16

3k−15=−16

Step 2: Add 15 to both sides.

3k−15+15=−16+15

3k=−1

Step 3: Divide both sides by 3.

3k /3 = −1 /3

k =  −1 /3

Answer/Step-by-step explanation:

✔️Slope (m) using the two points (2, 4.58) and (5, 4.28):

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{4.28 - 4.58}{5 - 2} = \frac{-0.3}{3} = -0.1 [/tex]

Slope (m) = -0.1

✔️Initial Value = y-intercept = b

To find b, substitute x = 2, y = 4.58, and m = -0.1 into y = mx + b.

(Note: y is P(t) and x is t).

Thus:

4.58 = (-0.1)(2) + b

4.58 = -0.2 + b

Add 0.2 to both sides

4.58 + 0.2 = b

4.78 = b

b = 4.78

Initial value = 4.78

✔️Equation for the linear function:

Substitute b = 4.78, and m = -0.1 into P(t) = mt + b

Thus the equation would be:

P(t) = -0.1t + 4.78

✔️The y-intercept = initial value = 4.78

✔️The x-intercept = the value of t when P(t) = 0.

To get this, substitute P(t) = 0 into P(t) = -0.1t + 4.78.

Thus:

0 = -0.1t + 4.78

Add 0.1t to each side

0.1t = 4.78

Divide both sides by 0.1

t = 47.8

x-intercept = 47.8

Step-by-step explanation:

Solution

3(√2+2)

Alternative Form

≈ 10.24264

Answer: 1/3

5/7 x X=1/7 35x= 7

X=7/35 simplified version 1/3

Answer:

Option C is correct answer

Answer:

$78.01

Step-by-step explanation:

solve the equation 56(1+.037÷4)^4×9

ends up being 56(1.00925)^36

56(1.3930133899)

=78.0087

The total value of the annuity in 9 years is: $78.00

We have the following information available from the question is:

He buys an annuity with a quarterly payment of $56 that pays 3.7 interest, compounded quarterly.

Payments will be made at the end of each quarter.

We have to find the total value of the annuity in 9 years.

Now, According to the question:

The total value of the annuity in 9 years :

The equation will be :

[tex]= > 56(1+ \frac{3.7}{4} )^4^(^9^)[/tex]

=>56(1.3930)

=$78.00

Learn more about Compound interest at:

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Answer:

well you need to rise/run. so rise 5 and over 1 to find your answer. repeat the process if needed

Step-by-step explanation:

Answer:

Step-by-step explanation: big aye

Answer:

4a is the answer.

Step-by-step explanation:

5a - a

= 4a

Answer:

It is 4a.

Step-by-step explanation:

=5a-a

=4a

Hope it helps you..

Answer:

x=35 hope it helps see ☜☆☞

Answer:

C. Add the exponents (2+2)

D. Subtract the coefficients. (5-3)

2y^4

I hope this helped! :))

Answer:

C. 4√3 units

Step-by-step explanation:

Edge 2021

The value of x is 4.

Option B is the correct answer.

Pythagorean theorem states that for a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

We can apply this theorem only in a right triangle.

Example:

The hypotenuse side of a triangle with the two sides as 4 cm and 3 cm.

Hypotenuse side = √(4² + 3²) = √(16 + 9) = √25 = 5 cm

We have,

From ΔRMN,

NM² = RN² + RM²

8² = y² + x²

64 = y² + x² ______(1)

And,

From ΔRNS,

RN² = RS² + SN²

y² = z² + 6²

y² = z² + 36 ______(2)

And,

From ΔRMS,

x² = z² + 2²

x² = z² + 4 _______(3)

From (1), (2), and (3).

x² = y² - 36 + 4

x² = 64 - x² - 36 + 4

2x² = 64 - 36 + 4

2x² = 68 - 36

2x² = 32

x² = 16

x = 4

Thus,

The value of x is 4.

Learn more about the Pythagorean theorem here:

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Answer:

x = -16

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

10(1/2x + 2) - 5 = 3(x - 6) + 1

Step 2: Solve for x

Step 3: Check

Plug in x into the original equation to verify it's a solution.

Here we see that -65 does indeed equal -65.

∴ x = -16 is the solution of the equation.

10x - 4y = 5 (if it requires shorten)

Step-by-step explanation:

x + y/5 - 1 = y - x

<=> (5x + y - 1.5)/5 = 5(y - x)/5

<=> 5x + y - 5 = 5y - 5x

<=> 5x + 5x + y - 5y = 5

<=> 10x - 4y = 5

Answer:

8

Step-by-step explanation:

The distance between 6 and -2 is 8

(draw a number line and from 6 to -2 is 8 steps)

Answer:

h=416$

Step-by-step explanation:

36.50h+27.50h= 64

64x6 1/2=

416 $

Answer:

416

Step-by-step explanation:

36.50+27.50=64

64*6=384

and then add 32 for the half an hour

384+32=416

Answer:

<4 = 81

Step-by-step explanation:

we know that all the interior angles of a triangle will equal 180

so <1 + <2 + <3 = 180

we know that <4 is the exterior angle to <3

the exterior angle is equal to the angles opposite to its interior

<3 is the interior angle to <4

<1 and <2 are the angles opposite to <3

so <4 = <1 + <2

<4 = 42 + 39

<4 = 81

Answer:

-6

Step-by-step explanation:

come on

Let's simplify step-by-step.

3(x+1)+2(x+5)

Distribute:

=(3)(x)+(3)(1)+(2)(x)+(2)(5)

=3x+3+2x+10

Combine Like Terms:

=3x+3+2x+10

=(3x+2x)+(3+10)

=5x+13

Answer:

40%

Step-by-step explanation:

A percent is;

[tex]\frac{part}{whole} = \frac{x}{100}[/tex]

It is given that Jolie the 75 dodgeballs in total, hence the whole is 75. It is also given that 30 of the dodgeballs hit the target, so the part is 30. Now all one has to do is solve for "x".

[tex]\frac{30}{75} = \frac{x}{100}[/tex]

Simplify [tex]\frac{30}{75}[/tex] by dividing the numerator and denominator by 15.

[tex]\frac{2}{5}[/tex]

Now the equation is;

[tex]\frac{2}{5}=\frac{x}{100}[/tex]

Typically, one would solve a proportion by doing cross products, but in this case, it is easier to think about it intuitively. Since 5 is a factor of 100 (5 * 20 = 100), then all one has to do is multiply [tex]\frac{2}{5}[/tex] by 20 to get the answer (on the numerator).

x = 40

Answer:

40%

Step-by-step explanation:

30/75 = 0.40

0.40*100 = 40

75 * 40% = 30

Answer:

0.002 , 0.05 , 0.40 , 0.80 , 1.02 , 2 , 4 , 11 , 13 , 15 , 16 , 357

Step-by-step explanation:

11 , 357 , 2 , 1.02 , 13 , .80 , 4, .002 , 15 , .05 , 16 , .40

AnswerArea: 27 square feet Length: 9 Feet

Step-by-step explanation:

So, first we need to find the length.

If the length is 3 times the width, we need to multiply the width times 3 to get the lenght. So, 3*#=9/ So the lenght is 9

Now, we need to find the area.>

We need to multiply length times width, so-

9*3=27

Answer:

g(x) = -3x

Step-by-step explanation:

g(x)=3x reflected about x - axis is g(x) = -3x. It's kind of hard to explain but that's the right answer i'm pretty sure

Answer: =0

Step-by-step explanation:

(10 - 3*3) - 1

(10 - 9) - 1

1-1

=0

Answer:

Step-by-step explanation:

The equation of circle that passes through origin is given by

And the given circle passes through (-8,0).

Substituting -8 for x and 0 for y, we will get

Answer:

no picture?

Step-by-step explanation:

Answer:

Lebron James = bruh bruh bruh

Step-by-step explanation:

Answer:

Lol free points

Step-by-step explanation:

Answer:

the answer is 3 i just did the test and btw i like your profile pick anyways not the point just know the answer is 3

Step-by-step explanation: