Jacob decided to start saving for college. After 3 months, he had saved $174. His friend Victoria was inspired to do the same. After 6 months, she had saved $360. If they are both saving money at a constant rate, how many more dollars per month does Victoria save than Jacob?

Answer:

35x + 14 and 7(5x + 2)​

Step-by-step explanation:

We have to find the missing values that would also make both expressions equivalent.

_x + 14 and 7(5x + _ )​

In the expression, there are some similarities with the placement of the numbers and variables.

Let find the value of the number next to "x".

You can see that we have to use the distributive property to solve the right expression, and once we do so, we can find our first value.

Use the distributive property:

7(5x)

35x

Now we know that our first value is 35x.

To find our second value, we see that in the first equation it is "14", so we need a number that can be multiplied by 7 to make 14.

7 · 2 = 14

Our second number would be 2.

Your final answer would be: 35x + 14 and 7(5x + 2)​

Once you use the distributive property for the second expression, you would get an equivalent expression as the first one.

Option C ‌‌‍‌‍‍‍‍‍‍‌‍‍‍‍

Answer:

The answer is 0.52!

Step-by-step explanation:

You need to divide 52 by 100, which gives you 0.52. Hope this helps!

Answer:

12x

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

f(x)=6x+4

y=6x+4

x=6y+4

6y=x-4

y=(x-4)/6

f^-1(x)=(x-4)/6

Answer is Option-C

How to find Inverse Function:

1. First, replace f(x) with y. This is done to make the rest of the process easier.

2. Replace every x with a y and replace every y with an x.

3. Solve the equation from Step 2 for y.

(Here), Given

f(x) = 6x + 4

Let's inverse function be y.

y = 6x + 4

First step is to switch the positions of x and y.

Inverse: x = 6y + 4

x - 4 = 6y

=> y = (1/6) * (x - 4)

Option-C

Learn more about Inverse functions here:

https://brainly.com/question/16991390?referrer=searchResults

#SPJ2

Answer:

A is Y equally X

B is X equally 2

E is Y equally -5

Answer:

C.) XZ ~= AC

Step-by-step explanation:

That is your answer. Hope this helps

Answer:

Ed will use 5 more peanut butter  than powdered sugar to make 3 batches of fudge(11-6=5)

Step-by-step explanation:

3 2/3 cups of peanut butter (x)

2 cups of powdered sugar(y)

for every one batch you need 2 cups, and for 3 batches you need 6 cups of powdered sugar(2*3=6)

and  for every batch you need 32/3 cups of peanut butter and for three batches you need (3 2/3 *3)= 11/3 *3=33/3=11 cups of peanut butter to make the fudge

Ed will use 5 more peanut butter  than powdered sugar to make 3 batches of fudge(11-6=5)

Answer:

y = 1/7x -1

Step-by-step explanation:

1) Find the slope.

- In this case, the equation given is in simplest form so you can easily come to the conclusion that '-7' is the slope. But, since the math question wants a slope-intercept form in perpendicular form, the slope would actually be 1/7.

2) Use the point-slope form and substitute the values available. Then solve.

m (slope) = 1/7

(a, b) = (14, 1)

y - b = m(x - a)

y - 1 = 1/7(x - 14)

y - 1 = 1/7x - 2

y = 1/7x - 1

The result is your answer.

Hope this helped (please tell me if I made a mistake or if you have any confusion and I will resolve it under the comments) ^^

Step-by-step explanation:

First one on the left = Second one on the right

Second one on the left = First one on the right

Third one on the left = Third one on the right

Answer:

4.5 would be the answer

Step-by-step explanation:

Answer:

4 3/6 or simplified 4 1/2

Step-by-step explanation:

Answer:

The answer is 4.5

Step-by-step explanation: Trust me thats the answer :)

Answer:

80 students

Step-by-step explanation:

take 65 divide by 13, then x 5

Answer:

the correct answer would be 80 but if im wrong please correct me

Step-by-step explanation:

Answer:

100-25=75 75+40=115 115+5=120

Answer:

The answer is 40.

Step-by-step explanation:

100 - (25+40) +5

100- (65) +5

35 +5

= 40

Answer:

Answer:

1). Option (A)

2). Option (A)

Step-by-step explanation:

1). A worker bee has the mass = 0.00011 kg

  In scientific notation we can convert the mass of bee as,

  0.00011 =

                =

  Since 1.1 ≈ 1,

  Therefore, 1.1 × 10⁻⁴ ≈ 1 × 10⁻⁴ kg

  Option (A) is the answer.

2). An African elephant has a mass = 8139 kg

   In scientific notation,

   8139 = 8.139 × 10³

   Since, 8.139 ≈ 8

   Therefore, 8139 kg = 8.139 × 10³ kg

   Option (A) is the answer.

Step-by-step explanation:

Hope this helps! ;)

Answer:

The investment of $10,000 decreases by 2% every year. So the following year is usually (100 - 2)=98% of the previous year. This is a geometric progression.

In this case the first term = 10000

The second term = 98% × 10000 = 9800.

The common ratio = 9800/10000=49/50

The multiplicative rate of change that should be in Hal’s function = 49/50=0.98.

The equation of the exponential rate would be;

10,000ₓ0.98ⁿ.

where n is the number years.

Step-by-step explanation:

Answer:

15

Step-by-step explanation:

first you have to subtract 4 from 19 to get what k is. that should be your answer. good luck!

Answer:

40

Step-by-step explanation:

took the test

Answer:

60

Step-by-step explanation:

Set up an algebraic equation

360= 2a+ 2a+ a + a

360= 6a

60= a

Since the sum of the angles is 360, they can be added together.

Answer:

x = 9/2 or 4.5

Step-by-step explanation:

5-4x=23 |-5

5-4x-5=23-5

-4x=18 |*(-1)

4x=18 | /2

2x=9 |/2

x=9/2 or 4.5

Answer:

x = 4.5

Step-by-step explanation:

Subtract 5 from BOTH sides to start with:

5-5 = 0 (5 cancels out on left side) 23-5 = 18

New Equation: -4x = 18

Divide BOTH sides by -4

4 cancels out (x is left) 18/4 = 4.5

New: x = 4.5

Answer:

PQN≈STR

Step-by-step explanation:

Answer:

Graph two would be the answer because it is not curving.

Step-by-step explanation:

Answer:

The answer to this question is B.

Answer:

7 servings of a 5/7 cup = 5 cups

Answer:

It's x = 12 (d)

Step-by-step explanation:

Subtract 4 on both sides: (16 - 4) - x = (4 - 4)

12 - x = 0

Then add x on both sides: 12 (- x + x) = (0 + x)

12 = x

Therefore x = 12

Answer:

A) We know that she make $7 per hour, with this we can make a table:

1hr | $7

2hr | $14

3hr | $21

etc...

B)  If in one week she earns $105 and 1w = 7h (1hr = $7) holds true, that means that we have to divide 105 by 7 which gives us 15hrs

C) If she baby-sat for 24hrs, we just have to multiply that by 7 and we get $168

Hope that helped!

Answer:

21 milliliters

Step-by-step explanation:

60/100=0.6

0.6*35=21

Answer:

-6

Step-by-step explanation:

-3a + 4 = -14

-3a = -14 - 4

-3a = -18

a = -18 / 3

a = -6

Answer:

a = 6

Step-by-step explanation:

Step 1: Subtract 4 from both sides.

-3a + 4 - 4 = -14 - 4

+4 and -4 cancel out.

Step 2: Subtract 4 from -14 to get -18.

-3a = -18

Step 3: Divide both sides by -3.

a = -18/-3

Step 4: Divide -18 by -3 to get 6.

a = 6

Let's check our work by substituting a for 6.

-3(6) + 4 = -14

Multiply -3 by 6 to get -18.

-18 + 4 = -14

Add -18 and 4 to get -14.

-14 = -14

This is true, so a = 6.

Answer:

first

Step-by-step explanation:

Answer: first, 23

Step-by-step explanation

For the first one the unit rate is 1/23

And for the second the unit rate is 1/32