1. Alec is building a model car. The model is 0.03 the size of the car. Let c represent the size of
the original car. What is an expression to represent the size of the model car
Answer:

Answer:

x=13

Step-by-step explanation:

These are corresponding angle and corresponding angles are equal

7x-1 = 8x-14

Subtract 7x from each side

7x-1-7x = 8x-14-7x

-1 = x-14

Add 14 to each side

-1+14 = x-14+14

13 =x

Answer:

Post them individually

Step-by-step explanation:

1. B

2. 4th option ,----> Megan's at 2.5 per week

Megan's plant:

slope = 7-4.5/2-1 = 2.5= growth rate

Suzanne's plant:

slope = 7-5/2-1= 2 = growth rage

3.D

4 2nd option , $2 for each song

Rate of change = 6-4/3-2 = 2

Answer:

p-$125= reduced price

Step-by-step explanation:

reduced implies that the $125 was SUBTRACTED from the original price.

Answer:

non of the above thanks

don't ask me again please

Answer:

where are the functions ???

Step-by-step explanation:

Answer:

Add 25 to each side using the addition property of equality

Step-by-step explanation:

10x − 25 − 3x = 4x − 1

Step 1: 7x − 25 = 4x − 1  Combine like terms

Step 2: 7x = 4x + 24   Add 25 to each side using the addition property of equality

Answer:

15$

Step-by-step explanation:

you need to check how much of e costs and you do that by dividing the price by the amount and than comes up to 1.5 that's for 1 and for 10 it's 15 hope that helps

Answer and Explanation:

Volume of a cylinder is given by

V= Pi*r²*h

where v= volume of the cylinder

Pi is constant = 22/7 or 3.14159

r= radius of the circle of the cylinder

h= height of the cylinder

If two cylinders are measured proportionally to the other based on radius and height of each cylinder, we look at the proportional equality of the ratio of the radius and height of one cylinder to the other. If one cylinder for example has ratio of radius and height =2/4 then it is proportional to the other cylinder with ratio 1/2

Answer: One of the cylinders is short and wide, while the other is tall and thin.

Answer:

Here is your answer....

Hope it helps.....

Answer:

-3

Step-by-step explanation:

expand the bracket by multiplying everything

inside by 3

after that collect like terms

then solve to come up with -3 as ur answer

Step-by-step explanation:

1) = {5(x+y)} - 2x

= 5x + 5y - 2x

= 3x + 5y

2)= {2(p×q)} + (p×q)

= (2p×2q)+ p×q

= 4pq + pq

= 5pq

3)= 6a + (8b + 2a)

= 8a + 8b

= 8(a+b)

4)= 3x² + ( x²+7x)

= 4x² + 7x

= x(4x+7)

Answer:

Step-by-step explanation:

72) 5*(x +y) - 2x

  = 5x + 5y - 2x  {Distributive property}

  = (5x - 2x) + 5y    {Combine like terms}

  = 3x + 5y

73) 2*(pq) + pq

   = 2pq + pq     {Combine like terms}

   = 3pq

74) 6a + (8b + 2a)

     = 6a + 2a + 8b   {Combine like terms}

    = 8a + 8b

75) 3*x² + (x² + 7x)

   = 3x² + x² + 7x   {Combine like terms}

   = 4x² + 7x

Answer:

247/7 = 35 2/7

247/7 = 35 reminder 2

247/7 = 35.2857142857...

Step-by-step explanation:

             35      

          ----------------------------------

   7    |   247

             21

          -----------

               37

               35

             ---------

                 2

247/7 = 35 2/7

247/7 = 35 reminder 2

247/7 = 35.2857142857...

9514 1404 393

Answer:

  5/48, 5/46, 5/44, 5/42

Step-by-step explanation:

We can choose unit fractions with denominators between 8 and 10, separated by (10-8)/5 = 0.4 units:

  1/8.4 = 5/42

  1/8.8 = 5/44

  1/9.2 = 5/46

  1/9.6 = 5/48

__

Check

_____

Additional comment

There are an infinite number of such fractions. We are given unit fractions with different denominators, so it works reasonably well to choose denominators between those given. Then the trick is to convert the fraction to a ratio of integers. In this case, multiplying by (5/5) does the trick.

__

Another approach is to write the fractions with a common denominator, then choose numerators between the ones given. For example, 1/10 = 4/40, and 1/8 = 5/40, so you could write some fractions with numerators between 4 and 5. Possibilities are 4.1/40 = 41/400, 4.3/40 = 43/400, 4.7/40 = 47/400, 4.9/40 = 49/400.

9514 1404 393

Answer:

  35 cm²

Step-by-step explanation:

You can count the squares, or ...

Any way you do this, there are 35 square, so the area is 35 square centimeters.

Answer:

mean = 85, standard deviation = 3.5

Step-by-step explanation:

The empirical rule states that for a normal distribution, 68% of the data falls within one standard deviation of the mean, 95% falls within two standard deviation of the mean and 99.7% falls within three standard deviation of the mean.

From the diagram since the shaded are is approximately 95% of the data. Hence 95% falls within two standard deviations of the mean.

σ = standard deviation, μ = mean

Hence; μ ± 2σ = (78, 92)

μ - 2σ = 78       (1);  

μ + 2σ = 92       (2)

Adding equation 1 and 2, gives 2μ = 170

μ = 85

μ - 2σ = 78

85- 2σ = 78

2σ = 7

σ = 3.5

Answer:

A. 20.81 mph

Step-by-step explanation:

x = speed of the boat in still water.

one part of the trip is 10 miles downstream, where the speed of the boat and the speed of the current add together.

and the other part of the trip is the trip back the 10 miles upstream, where the speed of the current works against the speed of the boat :

10/(x + 15) + 10/(x - 15) = 2

10 + 10×(x+15)/(x-15) = 2×(x+15)

10×(x-15) + 10×(x+15) = 2×(x+15)×(x-15)

20x = 2×(x² - 225)

10x = x² - 225

0 = x² - 10x - 225

solution of a quadratic equation

x = (-b ± sqrt(b² - 4ac)) / (2a)

a = 1

b = -10

c = - 225

(10 ± sqrt(100 - 4×1×-225)) / 2 =

= (10 ± sqrt (100 + 900)) / 2 = (10 ± sqrt(1000)) / 2 =

= (10 ± 31.62) / 2

x1 = 41.62 / 2 = 20.81 mph

x2 is negative and did not make any sense.

Answer:

C. 64°

Step-by-step explanation:

[tex]{ \tt{ \cos( \theta) = \frac{adjacent}{hypotenuse} }} \\ \\ { \tt{ \cos( \theta) = \frac{7}{16} }} \\ \\ { \tt{ \theta = { \cos }^{ - 1} ( \frac{7}{16} )}} \\ \\ { \tt{ \theta = 64 \degree}}[/tex]

Answer:  Choice C) 64 degrees

Work Shown:

[tex]\cos(\theta) = \frac{\text{adjacent}}{\text{hypotenuse}}\\\\\cos(\theta) = \frac{7}{16}\\\\\cos(\theta) = 0.4375\\\\\theta = \cos^{-1}(0.4375)\\\\\theta \approx 64.0555^{\circ} \\\\\theta \approx 64^{\circ} \\\\[/tex]

Note: some calculators will use the notation arccos in place of the [tex]\cos^{-1}[/tex]

Answer:

D

Step-by-step explanation:

[tex]5(9 + 4) \\ 5(13) \\ 65 \\ prove \: it \: d \: answer \\ 5(9) + 20 \\ 45 + 20 \\ = 65[/tex]

Answer:

C

Step-by-step explanation:

In fact the point doesn’t lies on the graph or between the lines

Answer:

Wait did you mean how many points will it be after an entire SEASON?

Answer:

C. 50 degrees

Step-by-step explanation:

Angle EDG is 90 degrees

x = 10

5 multiplied by 10 is 50

4 multiplied by 10 is 40

40+50=90

Answer:

50 = EDH

Step-by-step explanation:

We know that angle EDG is a right triangle (measures 90°). We also know that angle EDH and angle HDG make up angle EDG which is 90°. So ultimately we can state that;

EDH + HDG = EDG

 5x  +   4x  =   90

      9x = 90

        x = 90/9

        x = 10

Now that we know that value of x, we can say that;

EDH = 5x

since x = 10

EDH = 5(10)

EDH = 50

Hope this helps!

Answer: 4 bags of oranges and 3 bags of apple

Step-by-step explanation:

Each bag of oranges is 5 and 5 times 4 is 20 Each bag of apples is 3 and 3 times 3 is 9 so 20 + 9 = 29

Answer:

The slope is 1 and the y intercept is 4

Step-by-step explanation:

Slope intercept form of a line is

y = mx+b  where m is the slope and b is the y intercept

Rewriting

y = x+4

The slope is 1 and the y intercept is 4

Answer:

M = 1

Step-by-step explanation:

1. Convert to standard form: x - y = - 4

2. Slope using standard form: m = 1

Answer:

12 centimeters

Step-by-step explanation:

The side lengths of the triangle are: 26, 28, and 30 centimeters

a = 26 cm, b = 28 cm, c = 30 cm

To find the area, we first must find the semi-perimeter with the following equation:

s = (a+b+c)/2

  = (28+26+30)/2

  = 42 centimeters

Now, to find the area, we can use Heron's formula:

A = [tex]\sqrt{s (s-a)(s-b)(s-c)}[/tex]

     [tex]\sqrt{42(42-28)(42-26)(42-30)[/tex]

     [tex]\sqrt{42(14)(16)(12)}[/tex]

     [tex]\sqrt{112896}[/tex]

     336 squared centimeters

Since the area of the parallelogram is equal to the area of our triangle:

Area of Parallelogram = Area of Triangle

base ⋅ height = 336 squared centimeters

28 ⋅ height = 336 squared centimeters

height = 336/28

height = 12 centimeters

Answer:

1

Step-by-step explanation:

Basically you just need to find the square root of all of them

36=6    -1=1      9=3 .     -1=1

6-1-3-1=1

Answer:

D

Step-by-step explanation:

Answer:

a.

f(1)=6; f(n)=6+d(n-1), n>0

Step-by-step explanation:

We are given that

First layer has squares, a=6

Second layer has squares, a2=12

We have to find  an arithmetic explicit formula to determine the number of squares in each layer.

[tex]d=a_2-a_1=12-6[/tex]

nth term of an A.P

[tex]a_n=a+(n-1)d[/tex]

Substitute the value of a

Now, we get

[tex]a_n=6+(n-1)d[/tex]

f(1)=a=6

[tex]a_n=f(n)=6+d(n-1)[/tex]

Hence, option a is correct.

a.

f(1)=6; f(n)=6+d(n-1), n>0

Answer:

f(1) = 6; f(n) = 6 + d(n − 1), n > 0

Step-by-step explanation:

I took the test on flvs and got it right.

100% Guaranteed Correct :)

, Hope this helps

Have a great day!!

Given:

The inequality is:

[tex]x>111[/tex]

To find:

The x-values that are the solutions to the given inequality.

Solution:

We have,

[tex]x>111[/tex]

It means all the real numbers greater than 111 are the solutions to the given inequality.

[tex]97<111[/tex], so 97 is not a solution.

[tex]101<111[/tex], so 101 is not a solution.

[tex]119>111[/tex], so 119 is a solution.

Therefore, the correct option is C.

Given:

The inequality is:

To find:

The x-values that are the solutions to the given inequality.

Solution:

We have,

It means all the real numbers greater than 111 are the solutions to the given inequality.

, so 97 is not a solution.

, so 101 is not a solution.

, so 119 is a solution.

Therefore, the correct option is C.

Answer:

344064

Step-by-step explanation:

hope it is well understood

Answer:

Step-by-step explanation:

(b - c)/b * (b+c)/b  Notice how the second fraction is inverted and multiplied. That's how you handle a 4 tier fraction. Here's a simpler example

[tex]\frac{\frac{2}{3} }{\frac{4}{5} } = \frac{2}{3} * \frac{5}{4}[/tex]

What you get with your problem is

(b^2 - c^2)/b^2