You have $150 in a savings account and you have some cash. The tape diagram represents the ratio of the amounts of money. You want to have twice the amount of money in your savings account as you have in cash. How much of your cash should you deposit into your savings account?

Answer:

That would be y = 2x.

Step-by-step explanation:

Answer C)

Explanation:

MN + NP = MP

MP = 39

Therefore, 4(x + 5) + 2x + 1= MP

So, 4(x + 5) + 2x + 1= 39

(4x + 20) + 2x +1 = 39

So, (4x + 2x) + (20 + 1) = 39

6x + 21 = 39

Addition changes to Subtraction

So, 6x = 39 - 21

6x = 18

Multiplication changes to Division

x= 18/6

x=3

Therefore MN = 4(x + 5)

So, 4(3 + 5) = 4(8)

4(8) = 32

Therefore, MN = 32

Hope this helps!

Answer:

32

Step-by-step explanation:

usatestprep answer

Answer:

66

Step-by-step explanation:

increase the number by 175% of its value.

percentage increase = 175% × 24

new value =

24 + percentage increase =

24 + (175% × 24) =

24 + 175% × 24 =

(1 + 175%) × 24 =

(100% + 175%) × 24 =

275% × 24 =

275 ÷ 100 × 24 =

275 × 24 ÷ 100 =

6,600 ÷ 100 =

66

Answer:

61

Step-by-step explanation:

==================================================

Work Shown:

a = smallest integer = 35

b = largest integer = 95

c = number of integers between 'a' and 'b' (including both endpoints)

c = b-a+1

c = 95-35+1

c = 61

The +1 is to count the starting value.

Consider the set {1,2,3,4,5}. If we don't have the +1, then we would have 5-1 = 4, but there are actually 5 items here. So we add 1 to fix this.

Answer:

phototmathbdbdjsknaisjdbxiehevdixjbwjwosjznaksojxbwjs

Answer:

1 :)

Step-by-step explanation:

1280 cones because you would add 60 +4 and multiply by 20, and would get 1280 cones.

Answer:

The answer is 4239.95

Step-by-step explanation:

First, you would have to do 13x11.

Which will come out to be 143.

Then do 143 times 29.65 to get your answer.

The answer is 4239.95.

Jean's cost to carpet her room is $470.33.

The area of a rectangle is defined as the product of the length and width.

The area of a rectangle = L × W

Where W is the width of the rectangle and L is the length of the rectangle

First, we have to convert the dimensions of the room from feet to yards:

Length in yards = 13 feet / 3 feet per yard = 4.33 yards

Width in yards = 11 feet / 3 feet per yard = 3.67 yards

The area of the room is:

Area = length x width

Area = 4.33 yards x 3.67 yards

Area = 15.86 square yards

The cost per square yard is $29.65, so the total cost is:

Total cost = area x cost per square yard

Total cost = 15.86 square yards x $29.65/square yard = $470.33

Therefore, Jean's cost to carpet her room is $470.33.

Learn more about the area of the rectangle here:

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Answer:

= 1 × 10^-7

(scientific notation)

= 1e-7

(scientific e notation)

= 100 × 10^-9

(engineering notation)

(billionth; prefix nano- (n))

= 0.0000001

(real number)

Step-by-step explanation:

10^7 = 10000000

Answer:

No. √14 + 6.2 is more than 3π - 8.2

Step-by-step explanation:

√14 + 6.2

√20.2

≈ 4.494

π ≈ 3.14159

3(3.14159) - 8.2

9.42577 - 8.2

1.22477

Therefore, the answer is no.

Answer:

its b on edge 2021

Step-by-step explanation:

The required function h(x) is [tex]h (x) = 2 cos (x + \frac{11\pi }{8} ) - 3[/tex] . Option d is correct.

Function g(x) =  [tex]2 cos (x +\frac{\pi }{2} )- 2[/tex]

Equation which includes trigonometric operators eg sin, cos.. etc.. In algebraic processes.

Here, the phase of the curve is increase by 7π/8.
So the phase = π/2 + 7π/8
                       = 11 π/8
And Shift of curve along y axis is by -1.

So, the total shift = -2-1
                              = -3

⇒ h(x) = [tex]2 cos (x + \frac{11\pi }{8} ) - 3[/tex]

Thus, h(x) = [tex]2 cos (x + \frac{11\pi }{8} ) - 3[/tex].

Learn more about trigonometry equations here:

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Answer:

25

Step-by-step explanation:

10÷2/5

=10•5/2

=5•5

=25

Answer:

eight

Step-by-step explanation:

There are eight different rays that can be formed from five collinear points.

Collinear points are defined as points that are along a straight line represented by a collinear. Because a straight line may be drawn continuously between any two points, they are always collinear.

If five points are collinear, it means they lie on a single straight line.

The number of rays is determined by n collinear points

In general, for n collinear points, there are 2(n−1) different rays.

As per the question, substitute the value of n = 5 for the above formula,

⇒ 2(5−1)

⇒ 2 x 4

⇒ 8

Thus, there are eight different rays can be formed from five collinear points.

Learn more about the collinear points here:

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Answer:

-2&-4

Step-by-step explanation:

-5x-6y=-8

it is a quadratic equation:

-5x-6y+8=0

(x-2)(x-4)

cross multiple and you'll get

-5x-6y+8=0

Answer:

The null hypothesis cannot be rejected since the test statistic is approximately t = .20,which is not in the rejection region.

Step-by-step explanation:

Data: 14.25, 13.7, 14.02,  14.13, 13.99, 14.0

Mean = [tex]\frac{Sum}{n}=14.015[/tex]

Standard deviation =[tex]\sqrt{\frac{\sum(x-\bar{x})^2}{n}}=0.1836[/tex]

Claim : Average number of fluid ounces in the cup should be 14.

Null hypothesis : [tex]H_0:\mu = 14[/tex]

Alternate hypothesis :[tex]H_a:\mu \neq 14[/tex]

n = 6

[tex]t = \frac{x-\mu}{\frac{s}{\sqrt{n}}}\\t=\frac{14.015-14}{\frac{0.1836}{\sqrt{6}}}\\t=0.20\\\alpha = 0.05t_{df,\alpha}=t_{(5,0.05)}=2.571[/tex]

t critical > t calculated

So, we failed to reject null hypothesis

So, Option B is true

Hence The null hypothesis cannot be rejected since the test statistic is approximately t = .20,which is not in the rejection region.

Answer: 25 packages

Step-by-step explanation: 100x2=200 / 200/8=25

Answer:

100x2 = 200 dinner rolls

200 ÷ 8 = 25 packages

Answer:

the answer is 7.1 inches tall

Step-by-step explanation:

The slopes of two lines are equal

Answer:

23.7m

Step-by-step explanation:

Given parameters:

       Time taken = 2.2s

     Acceleration due to gravity = 10m/s

Unknown:

Depth of the well  = ?

Solution:

To solve this problem, we simply apply one of the motion equations;

        S = ut + [tex]\frac{1}{2}[/tex] gt²

    where S = depth of the well

                u = initial velocity

                t = time taken

               g = acceleration due to gravity

 Input the parameters and solve for S;

   Note initial velocity = 0;

     S = [tex]\frac{1}{2}[/tex] x 9.8 x 2.2²

    S = 23.7m

Answer:

.2 inches a min.

Step-by-step explanation:

Answer:

0.05

Step-by-step explanation:

6 divided by 120 = 0.05

Hope this helps☺️

a) Classical. This is because there are 2 sides and 1/2 = 0.50 = 50% is the chance of landing on tails. Classical probability is also known as theoretical probability.

b) Subjective. This is based off John's belief and his gut feeling. There doesn't seem to be any empirical data to back him up, unless he's looking back at previous semesters.

c) Empirical. When you have a finite set of data and you compute the probability based on it like what we're doing here, we're computing empirical probability. Another example would be that if you flipped a coin 30 times and got 17 heads, then the empirical probability of getting heads is 17/30 = 0.5667 approximately. Note how this is slightly different from the theoretical probability 0.50

Answer:

D. Two yards of fabric are used to make five place mats.

Step-by-step explanation:

Given

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

Required

Select the option that describes the scenario

Options A, B and C do not describe the given scenario.

because they all represent

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

Analyzing D:

We have the following:

Yards = 2

Place Mats = 5

[tex]Ratio = \frac{Yards}{Place\ Mats}[/tex]

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

Compare this ratio with the given scenario, we have:

[tex]Ratio = Scenario= \frac{2}{5}[/tex]

Answer:slope~9

Y intercept (0,2)

X. Y

0. 2

2/9 0

Step-by-step explanation:

Answer:

the correct answer is C

Answer: You can divide a number by a fraction by flipping over the fraction and multiplying them together.

Step-by-step explanation:

For example:

Lets say we wanted to divide 8 by 3/4

8÷[tex]\frac{3}{4}[/tex]

Change the division symbol into multiplication, and flip over the fraction (a great way to remember doing this is to remember the phrase Copy Dot Flip - Copy the first digit as it is, put a dot for multiplication, and then flip the fraction over)

8 ·[tex]\frac{4}{3}[/tex]

Now, just multiply and reduce/simplify the fraction if needed

Final answer is [tex]\frac{32}{3}[/tex], no need to simplify or reduce

Hope that helps!!

Answer:

Step-by-step explanation:

y = − 3 /2 x  +  7/ 2

Step-by-step explanation:

The given expression is:

       12x + 8y = 28

Problem;

 Express in slope-intercept format;

   Solution:

The equation of a straight line is given as;

     y = mx + c

where y is the y-coordinate

          m is the slope

          x is the x-coordinate

          c is the intercept

 To solve this problem simply express the given equation as that of a straight line.

     12x + 8y = 28  in the form y = mx + c

      12x + 8y = 28  

   take 12x to the other side;

          8y  = 28 - 12x

divide by 8 to isolate the y;

           [tex]\frac{8y}{8} = \frac{28}{8} - \frac{12x}{8}[/tex]

            y  = [tex]\frac{7}{2} - \frac{3x}{2}[/tex]

Re-arranging gives;

           y = [tex]\frac{-3x}{2} + \frac{7}{2}[/tex]

This is the slope-intercept form.  

Answer:

y=2

Step-by-step explanation:

y/x = k

Given y =4, x = 10 , It can be expressed as the ratio is 4/10.  We set the other as y/5.  By the definition two ratios are equal.   4/10 = y/5 . Multiply to each side by 5.  4/10*5 = y/5*5 . 20/10  = y

y = 2

Answer: y=2

Step-by-step explanation: If 10=4, then 5 equals 4 divided by 2, which equals 2.

Hopefully this helped! :D