A basketball player is 80 inches tall. A model of a basketball player is 5 inches tall. What is the scale factor?

Answer:

Price per mechanical pencil: [tex]\$ 0.5[/tex].

Price per ruler: [tex]\$ 1[/tex].

Step-by-step explanation:

Let the cost per mechanical pencil be [tex]\$ p[/tex], and let the cost per ruler be [tex]\$ r[/tex].

Set up two equations based on the amount of money that each teacher paid.

The cost of [tex]50[/tex] mechanical pencils ([tex]\$ p[/tex] each) and [tex]30[/tex] rulers ([tex]\$ r[/tex] each) would be [tex](50 \, p + 30\, r)[/tex]. That should be equal to the amount of money that Mrs. Ortiz paid. In other words, [tex]50 \, p + 30\, r = 55[/tex].

Similarly, the cost of [tex]30[/tex] mechanical pencils ([tex]\$ p[/tex] each) and [tex]30 \![/tex] rulers ([tex]\$ r[/tex] each) would be [tex](50 \, p + 30\, r)[/tex]. That should be equal to the amount of money that Mr. Donahue paid. In other words, [tex]30 \, p + 30\, r = 45[/tex].

That gives a system of two equations:

[tex]\left\lbrace \begin{aligned}& 50 \, p + 30\, r = 55 \\ & 30 \, p + 30\, r = 45 \end{aligned}\right.[/tex].

Subtract the second equation for the first:

[tex]20\, p = 10[/tex].

[tex]\displaystyle p = \frac{1}{2} = 0.5[/tex].

In other words, the cost of one mechanical pencil would be [tex]\$0.5[/tex].

Substitute [tex]p = 0.5[/tex] back to either equation and solve for [tex]r[/tex], the cost of one ruler.

[tex]50 \times 0.5 + 30\, r = 55[/tex].

[tex]30\, r = 55 - 25 = 30[/tex].

[tex]r = 1[/tex].

In other words, the cost of one ruler would be [tex]\$ 1[/tex].

Answer:

see

Step-by-step explanation:

diameter=2×pi×r

diameter. 2.22/7.r

Answer:

No solution

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

a) The value of x in equation (a) is x = 0.5.

b) The value of x in equation (b) is x = 0.02.

Let's solve the equations for the value of x:

a. X/5 + 20 = 20.1

Step 1: Subtract 20 from both sides to isolate the term with x:

X/5 = 20.1 - 20

Step 2: Simplify the right side:

X/5 = 0.1

Step 3: To solve for x, multiply both sides by 5:

X = 0.1 * 5

X = 0.5

So, the value of x in equation (a) is x = 0.5.

b. 5x + 20 = 20.1

Step 1: Subtract 20 from both sides to isolate the term with x:

5x = 20.1 - 20

Step 2: Simplify the right side:

5x = 0.1

Step 3: To solve for x, divide both sides by 5:

x = 0.1 / 5

x = 0.02

So, the value of x in equation (b) is x = 0.02.

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Complete question is:

Solve the given equations for the value of x:

a. X/5 + 20 = 20.1

b. 5x + 20 = 20.1

Answer:

20,20 :)

Step-by-step explanation:

Answer:

20, 20 is the answer so D

Step-by-step explanation:

Its too Ez

Answer:

13

Step-by-step explanation:

replace b with 3 and solve:

3² + 4 = 13

Answer:

62.5%

Step-by-step explanation:

average = sum of scores / number of scores

60% = [sum of 9 tests] / 9

[new average] = [sum of 10 tests] / 10

= ([sum of 9 tests] + 85%) / 10

= ((9 * 60%) + 85%) / 10

= 62.5%

Answer:

1,a. 224in

b. 240in

2,144ft

3,it is kind of hard I well try it on common if I can

Answer:

3

Step-by-step explanation:

3x4 is 12 and then you subtract them from each 9ther

Answer:

Fixed

x=5.66

Step-by-step explanation:

This is an around about way since it's not a right triangle.

lets call the segment line that bisects the lower right angle= M.

The two triangles created would be similar. So:

4/6=M/(x+3)

4x+12=6M

M=(4x+12)/6

and

(x+3)/(x+4)=M/6

(6x+18)=Mx+4M

M=(6x+18)/(x+4)

since M=M

(4x+12/6=(6x+18)/(x+4)

(x+4)(4x+12)=6(6x+18)

4x^2+12x+16x+48=36x+108

4x^2+28x+48=36x+108

4x^-12x-60=0

x^2-3x-15=0

Factor

(x+2.65)(x-5.66)=0

x=5.66

Answer:

AB

Step-by-step explanation:

angle C is 58 because 59+63=122 180-122=58

and drag and arrow to the opposite side of each angle and you have your answer

Answer:

Step-by-step explanation:

Answer:

the answer is 19/11!!!!!

Answer & Step-by-step explanation:

Yes, Maribel will reach her goal. If you convert each fraction with a denominator of 6 then add it up, it will be 1 7/6 which is equal to 2 1/6.

I hope this helps ;)

Step-by-step explanation:

To find the percent increase, divide the increase by the original price.

P1 = price yesterday

P2 = price today

To find percent increase

[tex] \frac{(p2 - p1)}{p1} [/tex]

Or to answer the question,

P1 = 9.74

P2 = 9.87

[tex] \frac{(9.87 - 9.74)}{9.74} = 0.013347[/tex]

Or 1.33%

Answer:

Step-by-step explanation:

100%-17.5%= 82.5%

82.5% (divide) 82.5%= 1%

so (1% of the orginal price)=

£264 (divide) 82.5%= £320= original price

The price of the computer is reduced by £56 which is 17.5% of £320.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, The price of a computer is reduced by 17.5% and the reduced price is £264.

Let the original price be '£x'.

So, (100 - 17.5)% = 82.5% of '£x' is  £264.

∴ (82.5/100)×x = 264.

0.825x = 264.

x = 264/0.825.

x =  £320.

So, The price reduced is (320 - 264) =  £56.

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Answer:

It would be at the 8th floor Hope it helped

Step-by-step explanation:

Answer:

81 ............................

Answer:

81

Step-by-step explanation:

just multiply 3 to itself 4 times.

Answer:

60$

Step-by-step explanation: 10/5=2

2*30= 60

*rounded*

Answer:

6 pegs can be cut.

Answer:

24

Step-by-step explanation:

!=1

Answer:

the answer is C

Step-by-step explanation:

hoped I helped:)

Answer:

In the question, it says that this is a proportional relationship.

A proportional relationship is something like:

y = k*x

So when we have x = 0, we also need to have y = 0.

For the case in the question, this does not happen, so i guess that the actual question is:

"At a gourmet coffee shop. 3.5 pounds of dark-roast coffee beans cost $56 and 7 pounds of the same coffee cost $112."

We can define:

x = amount of coffee

y = price of that coffee

Now we have two pairs:

$56 to get 3.5lb

$112 to get 7lb

Then we have two points:

(3.5lb, $56)

(7lb, $112)

We can draw these two points and then connect them with a line, this line will represent the proportional relationship.

Now we need to look at the value 1 in the x-axis, then draw a vertical line

At the point where this vertical line intersects the graph, we draw a horizontal line, and the value of y is the value at which this horizontal line intersects the y-axis.

(you can see a rough sketch of this in the image below)

The solution is 1lb of coffee costs $16.

Answer:

0.0082 = 0.82% probability that the height of a randomly selected tree is as tall as mine or shorter.

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Assume that X has a normal distribution with a mean of 191.8 ft and a standard deviation of 4 ft.

This means that [tex]\mu = 191.8, \sigma = 4[/tex]

A tree of this type grows in my backyard, and it stands 182.2 feet tall. Find the probability that the height of a randomly selected tree is as tall as mine or shorter.

This is the pvalue of Z when X = 182.2. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{182.2 - 191.8}{4}[/tex]

[tex]Z = -2.4[/tex]

[tex]Z = -2.4[/tex] has a pvalue of 0.0082

0.0082 = 0.82% probability that the height of a randomly selected tree is as tall as mine or shorter.

Answer:

The answer is D. 14

Step-by-step explanation:

If you were to plug in 14 for x, it would look something like this:

[tex]\frac{14-4}{14}[/tex] = [tex]\frac{5}{7}[/tex]

Solve 14-4

[tex]\frac{10\\}{14}[/tex] = [tex]\frac{5}{7}[/tex]

if you were to multiply 5 and 7 by 2, you would get

[tex]\frac{10}{14}[/tex].

This makes the equation true, because

10/14 does equal itself (10/14)

Have a nice day!

Answer: 6

Step-by-step explanation:

6 is the only number next to x and is multiplying with it (ex: 6x would be a coefficient but 6+x would not)

Answer:

Step-by-step explanation:

Did the calculations myself, probably too late for these to be of any use but I'll leaave them here anyways for anyone else that needs it in the future. Love yall!

The width of w is 0.90 cm.

The first step to solve this problem is to find how long is each side.  About this, we know one side is 8 1/2 cm or 8.5 but the other side is not exactly given (4cm + w + 2/3 w). To determine the length of this size, use the area formula:

The total length of the side - known side

This means w + 2/3 w (0.66 w) is equal to 1.5

Find w:

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Answer:

Step-by-step explanation:

You haven't provide expressions to choose from.

6(c+8) = 6c+48

Answer:

6c + 48

Step-by-step explanation: