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2 years ago

Cindy drives her car 25 miles from her workplace to her home. The trip takes 1/2 hour. What is her unit rate in miles per hour?

Mathematics

1 answer:

madam [21]2 years ago

7 0

Answer:

Unit rate = 50m/h

Step-by-step explanation:

Distance = 25 (x2) = 50 ( basically make the den 1 and wht

Time = 1/2 hr (x2) = 1hr u do to den do to num)

Unit rate = 50m/h

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Look at the figure find the value of x for which l || m

Orlov [11]

Answer:

x=5

Step-by-step explanation:

19x and its vertical angle are equal. Lets call that angle y

<y and 17x are same side interior angles. Same side interior angles add to 180 if the lines are parallel. Since l is parallel to m.

<y + 17x=180

We know that y and 19x are equal since they are vertical angles, so we can substitute this in.

19x+ 17x = 180

Combine like terms.

36x = 180

Divide each side by 36

36x/36 = 180/36

x = 5

8 0

3 years ago

A clothing manufacturer uses the model a=f+4−−−−√−36−f−−−−−√ to estimate the amount of fabric to order from a mill. In the formu

Anit [1.1K]

Questions:

A clothing manufacturer uses the model a = √(f + 4) - √(36 - f) to estimate the amount of fabric to order from a mill. In the formula, a is the number of apparel items (in hundreds) and f is the number of units of fabric needed. If 400 apparel items will be manufactured , how many units of fabric should be ordered?

Answer:

32 units of fabrics

Step-by-step explanation:

Given

$a = \sqrt{f + 4} - \sqrt{36 - f}$

Required

Find f when a = 4

Substitute 4 for a

$4 = \sqrt{f + 4} - \sqrt{36 - f}$

Rewrite as:

$\sqrt{36 - f} + 4 = \sqrt{f + 4}$

Square both sides

$(\sqrt{36 - f} + 4)^2 = (\sqrt{f + 4})^2$

$(\sqrt{36 - f} + 4)^2 = f + 4$

$36 - f + 8\sqrt{36 - f} + 16 = f + 4$

Collect Like Terms

$8\sqrt{36 - f}= f +f+ 4 - 36 -16$

$8\sqrt{36 - f}= 2f -48$

Divide through by 2

$4\sqrt{36 - f}= f -24$

Square both sides

$16(36-f) = (f - 24)^2$

$16(36-f) = f^2 - 48f + 576$

$576-16f = f^2 - 48f + 576$

$-16f = f^2 - 48f$

Collect like terms

$f^2 - 48f + 16f = 0$

$f^2 -32f = 0$

Factorize

$f(f - 32) = 0$

$f = 0$ or $f = 32$

f can not be 0 because some units must be ordered.

So, f = 32

6 0

2 years ago

If the area of the rectangle shown below is given by the expression 3x2 + 7x – 6,

Mazyrski [523]

Answer:

Step-by-step explanation:

3x² + 7x - 6 = 3x² + 9x - 2x - 2*3

= 3x (x + 3) - 2(x +3)

= (3x - 2)(x + 3)

Area of the rectangle = 3x² + 7x - 6

length * width = 3x² + 7x - 6

length * (x + 3) = (3x -2)(x +3)

length = $\frac{(3x-2)(x+3)}{(x+3)}$

length = (3x - 2)

7 0

3 years ago

Solve for n, t=m+n need help to this problem asap thanks ,

loris [4]

T=m+n
m+n=t
n=t-m (In terms of n)

8 0

3 years ago

Read 2 more answers

(9x-3 1/8)- (7x+1 3/8)

Rom4ik [11]

$*\\(9x-3\frac{1}{8})-(7x+1\frac{3}{8})=\ \ \ |Omit\ the\ brackets\\\\
(9x-3\frac{1}{8})-(7x+1\frac{3}{8})=9x-3\frac{1}{8}-7x-1\frac{3}{8}=\ \ \ \ \ |add\ similar\ factors\\\\
\boxed{2x-4\frac{1}{2}}$

5 0

3 years ago