Jack spends 1 and a quarter as long on his homework as Jill. Last week Jill spent 9 and three quarters of a hour on his homework. How long did Jack take??? Write the answer as a mixed number! Thnx!

Answers

Answer 1

Answer: Jack spent 11 hours on his homework. This is because Jill worked 9 3/4 hours on her work, and since Jack worked 1 1/4 hours more than her. 9 3/4 + 1 1/4 = 11.

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What is -9.4 simplified?

Answers

Answer: -9 2/5

Step-by-step explanation: To convert -9.4 into a negative mixed number and simplified, you’ll have to leave the negative sign and put the number 9 after the negative sign. Finally, simplify 4/10, which is 2/5. This should leave you with a final result of -9 2/5.

Write the equation of the line that has the indicated slope and y-intercept.Slope = 5; y-intercept = 9

Answers

Answer:

slope intercept form: y=5x+9

standard form: x-5/y =-9/5

Step-by-step explanation:

slope intercept form: y=mx+b, m=slope, b=y-intercept

m= 5, b=9 therefore,

y=5x+9

Find the student’s error in solving the following inequality.31 < –5x + 6
25 < –5x
–5 < x

a. The student should have added 6 to both sides instead of subtracting it.

b. The student divided 25/–5 incorrectly.

c. The student should have switched the direction of the inequality sign to get –5> x for a final answer.

Answers

Answer: c. The student should have switched the direction of the inequality sign to get –5> x for a final answer.

Step-by-step explanation:

From the given steps, the last step is done wrong by student.

When we multiply or divide any negative number on vboth sided of the inequality, the sign of inequality reverse its direction .

In the last step student divide the inequality by -5 but didn't switch direction of the inequality sign.

hence, c is the right option "The student should have switched the direction of the inequality sign to get –5> x for a final answer."

Hello,
Answer C

When you divide by a negative number the order is invert. (< become >")

A military aircraft can travel 740 miles per hour. The distance between Tyndall Air Force Base in Florida and Lakenheath Air Force Base in England is 2,567 miles. How long would it take the aircraft, traveling at top speed the entire route, to make the trip from Tyndall to Lakenhealth? Round to the nearest half hour.

Answers

Answer: 3.5 h

Step-by-step explanation:

1. Data:

a) s = 740 miles / h

b) d = 2,567 miles

c) t = ?

2. Equation:

speed = distance / time

s = d / t

3. Solution:

Solve the equation for t:

s = d / t ⇒ t = d / s

Substitute values:

t = 2,567 miles / (740 miles/h) ≈ 3.47 h ≈ 3.5 h

Hi.i need help with this question.

Workings Please.

1. A 210° sector of a circle of radius 10cm is used to make a cone. Find the radius of the base of the cone and it's height.

Answers

Answer: radius = 5.83 cm height = 8.12 cm

Step-by-step explanation:

First, let's find the circumference of the 210° section of the circle.

$C=2\pi r\bigg((\theta)/(360^o)\bigg)\n\n\nC=2\pi(10)\bigg((210^o)/(360^o)\bigg)\n\n\nC=(35)/(3)\pi$

The circumference of the the cone is $(35)/(3)\pi$ . We can use this to find the radius .

$C=2\pi r\n\n(35)/(3)\pi=2\pi r\n\n\n(35\pi)/(3\cdot 2\pi)=r\n\n\n(35)/(6)=r\n\n\n5.83=r$

When you fold the 210° section into a cone, the slant height is the original radius of 10. We can use the radius and slant height of the cone to form a right triangle with the height. Use the Pythagorean Theorem to find the height.

radius² + height² = slant height²

$(35)/(6)^2\ +\ h^2=10^2\n\n\n.\qquad \quad h^2=10^2-\bigg((35)/(6)\bigg)^2\n\n.\qquad \quad h=\sqrt{(6^2(10)^2-35^2)/(6^2)}\n\n\n.\qquad \quad h=\sqrt{(2375)/(36)}\n\n\n.\qquad \quad h=8.12$

Write 10 12/5 as an equivalent improper fraction

Answers

10 $(12)/(5)$ = $((10 X 5 ) + 12)/(5)$
= $(62)/(5)$

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