At the beginning of the year, John had $40 in savings and saved an additional
$13 each week thereafter. Isaac started the year with $80 and saved $9 every
week. Let J represent the amount of money John has saved t weeks after the
beginning of the year and let I represent the amount of money Isaac has
saved t weeks after the beginning of the year. Write an equation for each
situation, in terms of t, and determine the number of weeks after the
beginning of the year until John and Isaac have the same amount of money
saved.

Answer: Sorry I cant see the picture

Step-by-step explanation:

Answer:

There were 30 questions on the test.

Step-by-step explanation:

1. Set up your equation: 27/90 = y/100

2. Next you want to cross multiply: 2700 = 90y or 270 = 9y

3. Divide 270 by 9 to find your y: y = 30

There were 30 questions on the test.

Answer:

they are perpendicular because they have slopes that are negative reciprocals

Step-by-step explanation:

th

The statement that best explains the relationship between lines FG and HJ is "They are not perpendicular because their slopes are not negative reciprocals."

The slope or gradient of a line in mathematics is a numerical representation of the steepness and direction of the line.

If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,

then the equation of line is

y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)

To find the slope;

m =  (y₂- y₁) / (x₂ - x₁)

To find the slope of a line passing through two given points, we use the formula:

slope = (y2 - y1) / (x2 - x1)

where (x1, y1) and (x2, y2) are the coordinates of the two points.

For line FG, the two points are F(-4, 1) and G(0, -2):

slope of FG = (-2 - 1) / (0 - (-4)) = (-2 - 1) / 4 = -3/4

For line HJ, the two points are H(-4, -2) and J(0, 4):

slope of HJ = (4 - (-2)) / (0 - (-4)) = 6/4 = 3/2

The slopes of lines FG and HJ are not equal. However, we can see that they are not negative reciprocals of each other:

slope of FG = -3/4

slope of HJ = 3/2

Therefore, lines FG and HJ are not perpendicular because their slopes are not negative reciprocals of each other.

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Answer:

8.4 meters

Step-by-step explanation:

According to the problem, computation of the given data are as follows:

Ribbon roll = 12 meter

Number of pieces cut = 9

Length of each piece = 0.4 meter

So, total length cut = 0.4 × 9 = 3.6 meters

So, we can calculate the ribbon available for making wreaths by using following formula:

Ribbon available after cut = Ribbon total length - Total length cut

By putting the value,

Ribbon available for wreaths = 12 meters - 3.6 meters

= 8.4 meters

Answer:

154,598

Step-by-step explanation:

You can show the growth in the following equation

100,000(1.02)^n

where n is the number of years

To find the population in 22 years you just plug in 22 for n

100,000(1.02)^22

154597.9671

Which rounds to 154598

Answer:

B. Penny Stock

Step-by-step explanation:

Penny stocks are very cheap stocks

Answer:

657

Step-by-step explanation:

Answer:

x1=-5/2, x2=1

Step-by-step explanation:

Answer:

x1=-5/2, x2=1

Step-by-step explanation:

because if you use quadratic formula

you would have x = -3 + or - √3^2 -4 x 2 x (-5)/ 2 x 2

simply and combine like terms give you

x = -3 + 7 / 4

x = -3 - 7 / 4

then you get

x = 1

x = -5/2

Answer:

2.24

Step-by-step explanation:

The rate of decrease at 10 seconds is - 0.642.

The formula for exponential growth is y = y₀.e^(kt).

The formula for exponential decay is y = y₀.e^(-kt).

From the graph, we conclude that it is an exponentially decaying function.

At t = 10, depth = 60 and at t = 0 depth = 112

                                                                   (as every box represents 4 units).

So, the rate of decrease can be obtained by,

112 = 60.e^(-10k).

e^(-10k) = 1.86.

lne^(-10k) = ln1.86.

- 10k = 6.42.

k = - 0.642.

The rate of decrease at 10 seconds is - 0.642.

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Answer:

12x+12

Step-by-step explanation:

Answer:

12+12

Step-by-step explanation:

9+12+3

9x+12+3x12+12

9+8+3+4

9x+8+3x+49+12+3

have a good day/night

may i please have a branlliest

Answer:

i like your cut g

Step-by-step explanation:

Answer:

6:54

Step-by-step explanation:

Correct time set = 10 am

Correct time after 3 hours = 10 am + 3 hours

= 1 pm

Steven watch after 3 hours = 12:54

This means Steven watch is 6 minutes behind the normal time

If Stephen does not adjust his watch, at what time on his watch should he show up at the restaurant for a 7 o' clock date with Mabel?

Time Stephen show up for date with Mabel = 7:00 - 6 minutes

= 6:54

Answer:

35 boys

Step-by-step explanation:

Answer:

15/35 or 43% if your going to the nearest whole number so there are 35 boys and 15 girls

Step-by-step explanation:

Let x = the number of boys

Let 50 - x = the number of girls

Girls/Boys: 3 = 50 - x       Cross Multiply

                   7        x

3x = 350 - 7x

10x = 350

x = 35 boys

50 - x = 15 girls

Check: 15/35 = 3/7

2115

Step-by-step explanation:

You multiply 235 by the number of candy bars in this case it would be 9

Answer:

(11+w)/4

Step-by-step explanation:

Let the first term be 3 miles

If he plans to increase the distance of his run by 1/4 mile, then

common difference = 1/4

To get the distance Kane runs in a training session after w weeks , we will use the nth term of an AP

Tw = a+(w-1)d

Tw = 3 + (w-1)(1/4)

Tw = 3 + 1/4 w - 1/4

Tw = 11/4 + 1/4 w

Tw = (11+w)/4

Hence the distance Kane runs in a training session after w weeks is (11+w)/4 weeks

Answer:

B and D

Step-by-step explanation:

First off, we can rotate it. When rotating, I found that the x and y values switch places in a way.

We would need to rotate it 90 degrees counterclockwise about the origin in order to get it in the same position as triangle BDE. This makes statement B correct.

In order to make triangle ABC smaller, the dilation would have to be smaller than one. Counting the right side's length, ABC has 6 squares and BDE has 3.

This would mean 6 * 1/2 = 3, meaning statement D is true.

Answer:

The value of x is 67.5

Step-by-step explanation:

The sum of the measures of the angles around a point is 360°

Let us solve the question

∵ In the given figure there are 3 adjacent angles around one vertex

→ By using the rule above

∴ The sum of their measures is 360°

∵ One of the angles is a right angle

∵ The measure of the right angle is 90°

∵ The measures of them are x, 3x, and 90°

∴ x + 3x + 90° = 360°

→ Solve the equation by adding the like terms to find x

∵ (x + 3x) + 90 = 360

∴ 4x + 90 = 360

→ Subtract 90 from both sides

∵ 4x + 90 - 90 = 360 - 90

∴ 4x = 270

→ Divide both sides by 4

∴ x = 67.5

∴ The value of x is 67.5

Answer:

[tex]sin[/tex][tex](Q)[/tex] = [tex]\frac{47}{73}[/tex]

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

5+5 = 10

10 × 10 = 100

100 ÷ 2 = 50

Answer: Around two gallon cans

Step-by-step explanation:  One gallon can of paint covers up to 400 square feet, which is enough to cover a small room, like a bathroom. Two gallon cans of paint cover up to 800 square feet, which is enough to cover an average size room.

Answer:

Please check the explanation.

Step-by-step explanation:

Given the equation

y = 0.5x

when x = 12

y = 0.5 · (12)

y = 6

when x = 0

y = 0.5(0)

y = 0

when x = 8

y = 0.5(8)

y = 4

when x = 12

y = 0.5(12)

y = 6

Thus, the table is completed such as:

x             y

0             0

8             4

12           6

Therefore, the ordered pairs that complete the equation y = 0.5 x are:

The graph of the equation is attached below.

Answer:

area of a triangle = 0.5 X base X height

0.5 X 4 X 4 = 8 cm^

area of a rectangle l X w

3 X 5 = 15 cm^

area of a parallelogram = base X height

5 X 3 = 15 cm^

add totals together

15 + 15 + 8 = 38 cm^

Answer:

Options (a), (b), (e)

Step-by-step explanation:

a). [tex]\frac{5^{10}}{5^{8}}=5^{10-8}[/tex]

          = 5²

    True.

b). (4⁸)³ = [tex]4^{8}\times 4^8\times 4^8[/tex]

            = [tex]4^{24}[/tex] [Since, [tex]x^{a}\times x^{b}\times x^c=x^{a+b+c}[/tex]]

    True.

c). [tex]10^{-4}=\frac{1}{10^4}[/tex]

    And [tex]\frac{1}{4^{10}}\neq \frac{1}{10^4}[/tex]

    False.

d). [tex]15^{6}\times 15^{3}=15^{6+3}[/tex]  [Since, [tex]x^{a}\times x^{b}=x^{a+b}[/tex]]

                    = 15⁹

    And [tex]15^{9}\neq 15^{18}[/tex]

    False.

e). [tex](6^{8})^{0}=1[/tex] [Since, a⁰ = 1]

    True.

Answer:

P = 16

Step-by-step explanation:

Answer:

B.The expanded form is (Two-fifths) (two-fifths) (two-fifths).

E.Two-fifths)cubed = StartFraction 8 Over 125 EndFraction

Answer:

b and e :D

Step-by-step explanation:

Answer:

The answer is "[tex]4 \cdot 7[/tex]".

Step-by-step explanation:

In the question the total given value =4(x+7).  if we add the value it will be 11 but if we multiply the value it is equal to [tex]4 \cdot 7[/tex].

The error gardener made is that the area of the extended portion is 28 ft² instead of 11 ft².

Given to us

The original length of the garden is x.

The Area of the extended garden is 4(x+7).

Given to us is the area of the complete garden, therefore, comparing the expression with the area of a rectangle,

[tex]\text{Area of rectangle}= \rm{ Breadth \times Length[/tex]

[tex]4(x+7) = Breadth \times Length[/tex]

Therefore, the breadth of the rectangle is 4 feet, since the breadth of the rectangle is not been changed the breadth of the rectangle is same as before, also (x+7) represents the complete length of the garden after it is extended, and since the original length of the garden is x, the length extended is 7 feet.

We know that the breadth of the rectangular garden is 4 and the area of extended length is 7, therefore,

The Area of the only Extended Portion of the Garden

= 4 x 7 = 28 ft²

Hence, the error gardener made is that the area of the extended portion is 28 ft² instead of 11 ft².

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Answer:

True I think. I could be wrong but don’t be mad if I am.

Step-by-step explanation:

Answer:

D. 95800

Step-by-step explanation:

958x10^2

958 x 100

95800 Alternative Form: 9.58 x 10^4

Answer:D

Step-by-step explanation: All you need to do is move the non existent decimal in 958 2 spaces to the right. So it would go from 958. to 95,800.

Answer: C) Tracy spends $7 every 4 days

Graphing the function as well as x = 4 will show that there is a difference in the y-value of 7 between x=0 and x=4, meaning she spends $7 every 4 days.