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2 years ago

14

Help please! will mark brainliest!!

1 answer:

spin [16.1K]2 years ago

8 0

9514 1404 393

Answer:

x = 7.5

Step-by-step explanation:

The parallel lines divide the transversals proportionally, so we have ...

x/5 = 6/4

x = 5(6/4) . . . . multiply by 5

x = 7.5

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An ice cream cone has a height of 4 in and a radius of 1 in. If the cone is 0.1 in thick, what is the difference (in in3) betwee

SSSSS [86.1K]

Answer:

$0.79 in^3$

Step-by-step explanation:

Given data for the cone

height h= 4 in

radius r= 1 in

hence diameter d= 2 in

thickness of cone= 0.1 in

The volume of the cone including the shell can be expressed as

$volume=\frac{1}{3} \pi r^2h$

$volume= \frac{1}{3}*3.142*1^2*4\\\volume= \frac{12.568}{3} \\\volume= 4.189 in^3$

The volume of the ice cream can be expressed as

N/B: the diameter of the ice cream is

2-(0.1*2)= 2-0.2= 1.8 in

hence the radius is 0.9 in

$volume= \frac{1}{3}*3.142*0.9^2*4\\\ volume= \frac{10.18}{3} \\\ volume= 3.39 in^3$

The difference in volume is $4.189-3.39= 0.79 in^3$

8 0

2 years ago

A dress which costs $180 is being sold at a discount of 10%. The amount of the discount is

ehidna [41]

Answer:

The discount is $18

Step-by-step explanation:

6 0

2 years ago

Write a story problem to go with the multiplication problem 4 x2/3<br> Then, solve the problem.

Lisa [10]

jimmy had 4x2/3 tacos he didnt know how many he had so he asked his mom and jimmys mom said that he had to do the math and when he figured out the answer he got 2/3 x 4 = 8/3 in fraction form. 2/3 x 4 = 2.6667 in decimal form. and his mom was proud of him

3 0

2 years ago

Which is more 65 ounces or 4 pounds

STatiana [176]

Answer: 24 oz to lbs = 1.5 lbs in 24 oz. 32 oz to lbs = 2 lbs in 32 oz. 64 oz to lbs = 4 lbs in 64 oz.

Step-by-step explanation:

In 65 oz there are 4.0625 lb.

Which is the same to say that 65 ounces is 4.0625 pounds.

8 0

2 years ago

Read 2 more answers

1. What is the value of the y variable in the solution to the following system of equations?

ollegr [7]

Part 1)

we have

$3x-6y=3$ ------> equation A

$7x-5y=-11$ ------> equation B

Multiply by $-7$ the equation A

$-7(3x-6y)=-7*3$

$-21x+42y=-21$ ------> equation C

Multiply by $3$ the equation B

$3*(7x-5y)=-11*3$

$21x-15y=-33$ -------> equation D

Adds equation C and equation D

$-21x+42y=-21 \\21x-15y=-33\\---------- \\ 42y-15y=-21-33\\27y=-54 \\ y=-2$

therefore

<u>the answer Part 1) is the option A </u>

$y=-2$

Part 2)

we have

$3x+y=6$

$y=-3x+6$ ------> equation A

$6x+2y=8$

Simplify Divide by $2$ both sides

$3x+y=4$

$y=-3x+4$ ------> equation B

the lines A and B are parallel lines, because the slope m is equal

so

The system has no solution

therefore

<u>the answer Part 2) is the option D</u>

There is no x value as there is no solution to the system.

Part 3)

we have

$4x+2y=6$ ------> equation A

$x-y=3$

$y=x-3$ ------> equation B

substitute equation B in equation A

$4x+2[x-3]=6$

$6x-6=6$

$6x=12$

$x=2$

therefore

<u>the answer part 3) is the option D</u>

$x=2$

Part 4)

Let

x---------> The number of one-step equations

y---------> The number of two-step equations

we know that

$x+y=1,120$

$x=1,120-y$ -------> equation A

$3x-2y=1,300$ ------> equation B

substitute equation A in equation B

$3[1,120-y]-2y=1,300$

$3,360-5y=1,300$

$5y=3,360-1,300$

$5y=2,060$

$y=412$

therefore

<u>the answer part 4) is the option D</u>

$y=412$

8 0

2 years ago

Read 2 more answers