The ratio of Kelly's money to Vera’s money was 7:3. After Kelly spent $35, she had $9 more than Vera. How much money did each girl have at first?

Problem

3.2x-1.7x+5.5=10

Steps:

1.5x + 5.5 = 10

1.5x X 10 + 5.5 X 10 = 10 X 10

15x + 55 - 55 = 100 - 55

15x = 45

15x/15 = 45/15

x = 3

Therefore questions ones answer is x = 3

Problem

3/4x-1/4x+14=3

Steps:

3/4x - 1/4x + 14 = 3

3/4x - 1/4x + 14 - 14 = 3 - 14

3/4x - 1/4x = -11

3/4x X 4 - 1/4x X 4 = -11 X 4

2x = -44

2x/2 = -44/2

x = -22

Therefore question two's answer is x = -22

Problem

3(2x+1)+x=-39

Steps:

7x + 3 = -39

7x + 3 - 3 = -39 - 3

7x = -42

7x/7 = -42/7

x = -6

Therefore question three's answer is  x = -6

Problem

m+4(2m-3)+-3

Steps:

= m + 4 (2m - 3) - 3

= m + 8m - 12 - 3

= 9m - 15

Therefore question four's answer is 9m - 15

Answer:

7/16

Step-by-step explanation:

Answer:

7/16 is the correct answer.

Step-by-step explanation:

3/4-5/16

=12-5/16 (taking LCM)

=7/16

Hope this helps you. Have a nice day. Please amrk as brainliest. It helps a lot.

Answer:

[tex]x = \frac{41}{2} [/tex]

Step-by-step explanation:

x - 5 - 3x + 1 = -45

-2x - 4 = -45

-2x = -45 + 4

-2x = -41

x = 41 ÷ 2

x = 41/2

Step-by-step explanation:

[tex]\tt{}x - 5 - 3x + 1 = - 45[/tex]

[tex]\tt{} - 2x - 4 = - 45[/tex]

[tex]\tt{}- 2x= - 45 + 4[/tex]

[tex]\tt{} - 2x = - 41[/tex]

[tex]\tt{} x = \frac{41}{2} [/tex]

[tex]\tt{}x = 20 \frac{1}{2} [/tex]

In the given diagram, the value of x is 40

From the question,

we are given that

∠ SRT = ∠STR, and m ∠SRT = 20,

Also, from the question

m ∠STU = 4x

To determine the value of x,

From the diagram,

We can observe that

∠STR + ∠STU = 180° (Sum of angles on a straight line)

Since ∠ SRT = ∠STR, and m ∠SRT = 20,

Then,

∠STR = 20

Then,

∠STR + ∠STU = 180° becomes

20 + 4x = 180

To solve this,

First, subtract 20 from both sides

20 - 20 + 4x = 180 - 20

Then,

4x = 160

∴ x = 160 ÷ 4

x = 40

Hence, the value of x is 40

Learn more here: https://brainly.com/question/20707795

Answer:

Step-by-step explanation:

The answer is 40.

x=40

Answer:

the helicopter would go up and backwards

Answer:

9:30

Step-by-step explanation:

9:30 = 3:10

If we put a ratio into a fraction for better visual representation, we will see that 3:10 turns in 3/10. If we multiply both the numerator and denominator by 3, we will get 9/30. You can divide 3 from both sides of 9/30 and it will go back to 3/10.

tl:dr Multiply both sides of a ratio to get the equivalent ratio.

Answer:

x=12

Triangle abc and Def are congruent but different sizes. The original triangle has side values of 2, 6 and 5. Then the shape is dilated by an unknown factor, giving it the side lengths of 4, x, and 10. Looking at the increase in side lengths we see that theres an increase of 2 to 4, or multiplying by 2 and an increase from 5 to 10, or multiplying by to. So now that we know there was a dilation of 2, we multiply 6 by 2 to find 12

Answer:

Where is the expression

Answer:

Its c :)

Step-by-step explanation:

plato

Answer:

yes they are inverses.

a.). x

Step-by-step explanation:

that's all

Answer:

Hii, okay so the sale price is $56.66, Hope this helps

Step-by-step explanation:

Answer:

(0, e-1) or (0, 1.718) to the nearest thousandth.

Step-by-step explanation:

The y-intercept occurs when x = 0 so here we have:

y = e^(1 - 0) - 1

= e - 1

So the y-intercept is the point (0, e-1)

Answer: 100%

Step-by-step explanation:

the normal decrease is 0-17=17, then you take the original bagel count divide by the number of bagels decreased (which is 17) x100 percent.

you shld get 100%, thanks!

Answer:

[tex]a_{16} = 121[/tex].

Step-by-step explanation:

To go from the first term [tex]a_{1}[/tex] of this sequence to the second term [tex]a_{2}[/tex], add [tex]d[/tex] to [tex]a_{1}\![/tex].

To go from the first term [tex]a_{1}[/tex] of this sequence to the third term [tex]a_{3}[/tex], add [tex]2\, d[/tex] to [tex]a_{1}\![/tex].

In general, going from the first term [tex]a_{1}[/tex] of an arithmetic sequence to the [tex]k[/tex]th term, add [tex](k - 1)\, d[/tex] to [tex]a_{1}\![/tex].

Thus, given an arithmetic sequence with [tex]a_{1}[/tex] as the first term and [tex]d[/tex] as the common difference, the [tex]k[/tex]th term of this sequence would be [tex]a_{k} = a_{1} + (k - 1)\, d[/tex].

In this question, [tex]a_{1} = 1[/tex] and [tex]d = 8[/tex] for this arithmetic sequence. The [tex]16[/tex]th term of this sequence would be:

[tex]\begin{aligned}a_{16} &= 1 + (16 - 1) \times 8 \\ &= 1 + 15 \times 8 \\ &= 121\end{aligned}[/tex].

Answer:

4, 0

Step-by-step explanation:

Answer:

[tex](\frac{-4}{3}, 0)[/tex]

Step-by-step explanation:

The x-intercept of any equation is the point where [tex]y=0[/tex].

Aha! We plug in [tex]y=0[/tex] into the equation to get [tex]6x+2(0)=-8[/tex], which gives [tex]6x=-8[/tex], which gives [tex]x=\frac{-8}{6}[/tex] which gives [tex]x=\frac{-4}{3}[/tex].

So, our answer is [tex]\boxed{(\frac{-4}{3}, 0)}[/tex] and we're done!

The equation that would be used to solve the function is (x+5)^2 = 17

Given the quadratic equation -x^2 + 10x -8 = 0

This can also be written as:

-x^2 + 10x -8  = 0

x^2 - 10x + 8 = 0

x^ 2- 10x  = -8

The coefficient of x is -10

Half of the coefficient of -10 = -10/2 = -5

Square the result = 5^2 = 25

Add 25 to both sides of the equation

x^2 - 10x + 25 = -8 + 25

x^2 - 10x + 25 = 17

(x+5)^2 = 17

Hence the equation that would be used to solve the function is (x+5)^2 = 17

Learn more on completing the square here; https://brainly.com/question/10449635

Answer:

x=7 is the answer

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

because 3 times 30 is 90,and 2 times 30 is 60 plus 30 would be equal to 180

Answer:

.

Step-by-step explanation:

94

Answer:

a) 9000 gam

Step-by-step explanation:

Answer:

a) 9000 grams

Step-by-step explanation:

1 kg=1000 g

9*1000=9000

Answer:

[tex]16x {y}^{2} + 10xy \\ = 2xy(8y + 5) \\ 2xy = 0 \: or \: 8y + 5 = 0 \\ y = - \frac{5}{8} [/tex]

Answer:

5f - 3, I'm assuming there was a typo in the answer choices.

Step-by-step explanation:

10f - 5f + 2 - 5

5f - 3

Answer:

True hai

hope this help you ^0^

Answer: 6%

Step-by-step explanation:

so you find the normal decrease. which is 138-130, 8 pounds.

then you divide by the original weight, you get 5.979…% so then round it up and tada! 6%

We want to find a polynomial given that we know its roots and a point on the graph.

We will find the polynomial:

p(x) = (183/280)*(x - 1)*(x - 1)*(x + 2)*x

We know that for a polynomial with roots {x₁, x₂, ..., xₙ} and a leading coefficient a, we can write the polynomial equation as:

p(x) = a*(x - x₁)*(x - x₂)...*(x - xₙ)

Here we know that the roots are:

Then the roots are: {1, 1, 0, -2}

We can write the polynomial as:

p(x) = a*(x - 1)*(x - 1)(x - 0)*(x - (-2))

p(x) = a*(x - 1)*(x - 1)*(x + 2)*x

We also know that this polynomial goes through the point (5, 336).

This means that:

p(5) = 336

Then we can solve:

336 = a*(5 - 1)*(5 - 1)*(5 + 2)*5

336 = a*(4)*(4)*(7)*5

336 = a*560

366/560 = a = 183/280

Then the polynomial is:

p(x) = (183/280)*(x - 1)*(x - 1)*(x + 2)*x

If you want to learn more, you can read:

https://brainly.com/question/11536910

Answer:

i need a picture

Step-by-step explanation: