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yawa3891 [41]
3 years ago
9

Jerry has a miniature model of a boat. He knows that the model is 3 3/4 inches wide and 5 1/2 inches long. What is the actual le

ngth of the boat if the actual width is 15 feet
Mathematics
1 answer:
mylen [45]3 years ago
6 0

Answer:

22 feet

Step-by-step explanation:

Change 15 feet into inches using the conversion

1 foot = 12 inches, thus

15 ft = 15 × 12 = 180 inches

scale factor = 180 ÷ 3.75 = 48

Thus the actual dimensions of the boat are 48 times the model.

actual length = 48 × 5.5 = 264 inches = 264 ÷ 12 = 22 feet

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What is 2/3 Time 2/3
klasskru [66]

Answer:

\frac{4}{9}  

Step-by-step explanation:

\frac{2}{3} * \frac{2}{3}

you multiply across, so you do 2*2 for the numerator, then 3*3 for the denominator. This would equal 4 as the numerator, 9 as the denominator,  which is \frac{4}{9}  

4 0
3 years ago
Solve.
lions [1.4K]

Answer:

b=9,a=12

Step-by-step explanation:

I solved by substitution:

b = 3/4a  ---> plug this into the other equation

a + b = 21   is now    a + 3/4a = 21

Reduce: 7/4a = 21

a = 12

Now solve for b:

b=3/4a is now b=3/4(12)

b=9

6 0
3 years ago
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If f(x)=x^2+3x+5 what is f(3+h) ?
andriy [413]
F(x)=x^2+3x+5
f(3+h)=(3+h)^2+3(3+h)+5
f(3+h)=9+6h+h^2+9+3h+5
f(3+h)=23+9h+h^2
7 0
3 years ago
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Use the graph to the right to write an equation of the line. What is the equation?​
Bingel [31]

Answer:

y = 1/4 x - 2

Step-by-step explanation:

To write the equation of a line, find from the line the slope and y-intercept. The y-intercept is where the line crosses the y-axis which here is at point (0,-2).

The slope of the line is found by writing a ratio between the vertical distance and the horizontal distance between points.

Slope is 1/4.

Substitute m = 1/4 and b = -2 into the slope intercept form y = mx + b.

y = 1/4 x - 2

5 0
3 years ago
The graph of the function f(x) = ax^2 + bx + c has vertex at (0, 2) and passes through the point
Ann [662]

Answer:

Step-by-step explanation:

You need to use vertex form of a quadratic to solve this.

Consider the vertex to be (h,k)

Another way of representing a quadratic is in "vertex form":

f(x) = a(x-h)^2+k

Now all you have to do is solve for a.  You know that the vertex is (0,2) and you have know the point of (1,8).  Now, all you have to do is plug in these values and solve for a.

8 = a(1-0)^2+2\\8=a(1)^2+2\\8=a+2\\a=6

Now you know the equation is f(x) = 6(x-0)^2+2 , but you need it in quadratic form.  All you have to do is solve is distribute the 6:

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You get:

a = 6

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Please mark this as brainliest if it satisfies your question

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3 years ago
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