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3 years ago

Every 2/3 hour, Harris can sew 1/6 pair of jeans. What is Harris's rate in pairs of jeans per hour?

Mathematics

2 answers:

Licemer1 [7]3 years ago

7 0

1/4 per hour.
In 1/3 of an hour, he can sew 1/12 of jeans. Multiply that by three, which equals 1/4 or .25

STatiana [176]3 years ago

3 0

Whole hour - 2/3 = 1/3

1/3 + 1/6 = 2/6 + 1/6
= 3/6

Harris can sew half of a pair of jeans per hour.

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BigorU [14]

Answer:

4 1/4

Step-by-step explanation:

you have to find a equal denominator then simplify

6 0

3 years ago

Whole-wheat bread costs $2.06/lb. How much would 3.8 lb of whole-wheat bread cost?

Xelga [282]

Whole-wheat bread = $2.06/lb

We need the cost of 3.8 lbs of whole-wheat bread.

So, we simply need to multiply the cost with the amount needed.

(cost per pound) × (amount of bread)

($2.06) × (3.8)

Simplify.

$7.828

Round to the nearest tenths.

$7.83

So, 3.8 pounds of whole wheat bread costs $7.83

~Hope I helped!~

7 0

3 years ago

Read 2 more answers

The students in Mr. Wilson's Physics class are making golf ball catapults. The

Mnenie [13.5K]

Answer:

Part a) About 48.6 feet

Part b) About 8.3 feet

Part c) The domain is $0 \leq x \leq 48.6\ ft$ and the range is $0 \leq y \leq 8.3\ ft$

Step-by-step explanation:

we have

$y=-0.014x^{2} +0.68x$

This is a vertical parabola open downward (the leading coefficient is negative)

The vertex represent a maximum

where

x is the ball's distance from the catapult in feet

y is the flight of the balls in feet

Part a) How far did the ball fly?

Find the x-intercepts or the roots of the quadratic equation

Remember that

The x-intercept is the value of x when the value of y is equal to zero

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$-0.014x^{2} +0.68x=0$

$a=-0.014\\b=0.68\\c=0$

substitute in the formula

$x=\frac{-0.68(+/-)\sqrt{0.68^{2}-4(-0.014)(0)}} {2(-0.014)}$

$x=\frac{-0.68(+/-)0.68} {(-0.028)}$

$x=\frac{-0.68(+)0.68} {(-0.028)}=0$

$x=\frac{-0.68(-)0.68} {(-0.028)}=48.6\ ft$

therefore

The ball flew about 48.6 feet

Part b) How high above the ground did the ball fly?

Find the maximum (vertex)

$y=-0.014x^{2} +0.68x$

Find out the derivative and equate to zero

$0=-0.028x +0.68$

Solve for x

$0.028x=0.68$

$x=24.3$

Alternative method

To determine the x-coordinate of the vertex, find out the midpoint between the x-intercepts

$x=(0+48.6)/2=24.3\ ft$

To determine the y-coordinate of the vertex substitute the value of x in the quadratic equation and solve for y

$y=-0.014(24.3)^{2} +0.68(24.3)$

$y=8.3\ ft$

the vertex is the point (24.3,8.3)

therefore

The ball flew above the ground about 8.3 feet

Part c) What is a reasonable domain and range for this function?

we know that

A reasonable domain is the distance between the two x-intercepts

$0 \leq x \leq 48.6\ ft$

All real numbers greater than or equal to 0 feet and less than or equal to 48.6 feet

A reasonable range is all real numbers greater than or equal to zero and less than or equal to the y-coordinate of the vertex

we have the interval -----> [0,8.3]

$0 \leq y \leq 8.3\ ft$

All real numbers greater than or equal to 0 feet and less than or equal to 8.3 feet

8 0

2 years ago

Kendra types 72 words per minute. At this rate, how long will it take Kendra to complete a letter of 900 words?

riadik2000 [5.3K]

900 ÷ 72 = 12.5 minutes

Thus the correct answer is option A .

7 0

2 years ago

If avb has a measure of 70 and is its angle bisector, what is the measure of avm?

Sedbober [7]

the correct question is
If angle AVB has measure of 70 degrees and line VM is its angle bisector, what is the measure of angle AVM?

we know that
the angle bisector divide into two equal parts
so
The measure of angle AVM is 70/2 = 35 degree.

the answer is
35°

4 0

3 years ago