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3 years ago

A carpenter's tool box is made up of nails, screws,

Mathematics

2 answers:

solniwko [45]3 years ago

8 0

Answer:

Step-by-step explanation:

One way to do this follows: Find the ratio, r, which when multiplied by each of the four numbers in the ratio produces the actual number of parts present:

4r + 11r + 9r + 6r = 60

Summing these up results in 30r = 60, so r is 2.

There are 4(2), or 8, nails,

11(2), or 22, screws,

9(2), or 18, washers, and

6(2), or 12, brackets.

Note that 8 + 22 + 18 + 12 = 60 (total number of parts)

If 5 carpenters have identical boxes, there will be 5(18), or 90, total washers.

DanielleElmas [232]3 years ago

7 0

Answer:

45 total washers

Step-by-step explanation:

Looking at the ratio of 4:11:9:6, we know that there are,

4 nails in each tool box

11 screws in each tool box

9 washers in each tool box

6 brackets in each tool.

Given that there are 5 carpenters with identical tool boxes, we can find the total amount of washers by multiplying the amount of washers in each box with how many carpenters there are.

9 * 5 = 45

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I need help with number 13, PLEASE. Extra points!

gladu [14]

Answer:

90°, 270°

Step-by-step explanation:

2r sin(Ф/2) = c

2r sin (Ф/2) = √2r

divide both sides by 2r

sin (Ф/2) = √2r/2r

sin(Ф/2) = √2/2

From the unit circle sin is √2/2 at 45°, and 135°

so Ф/2 = 45

Ф=90°

and Ф/2 = 135

Ф= 270°

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3 years ago

I need help with this question please

Bess [88]

Answer:

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2 years ago

Hank has large of trail mid weighs 7.8 pounds. He uses the mix in the large bag to make bags each containing 0.6 pounds of mix.

KonstantinChe [14]

Answer:

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Step-by-step explanation:

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6 0

3 years ago

An urn contains 3 red and 7 black balls. Players A and B take turns (A goes first) withdrawing balls from the urn consecutively.

andrey2020 [161]

Answer:

The probability that A selects the first red ball is 0.5833.

Step-by-step explanation:

Given : An urn contains 3 red and 7 black balls. Players A and B take turns (A goes first) withdrawing balls from the urn consecutively.

To find : What is the probability that A selects the first red ball?

Solution :

A wins if the first red ball is drawn 1st,3rd,5th or 7th.

A red ball drawn first, there are $E(1)= ^9C_2$ places in which the other 2 red balls can be placed.

A red ball drawn third, there are $E(3)= ^7C_2$ places in which the other 2 red balls can be placed.

A red ball drawn fifth, there are $E(5)= ^5C_2$ places in which the other 2 red balls can be placed.

A red ball drawn seventh, there are $E(7)= ^3C_2$ places in which the other 2 red balls can be placed.

The total number of total event is $S= ^{10}C_3$

The probability that A selects the first red ball is

$P(A \text{wins})=\frac{(^9C_2)+(^7C_2)+(^5C_2)+(^3C_2)}{^{10}C_3}$

$P(A \text{wins})=\frac{36+21+10+3}{120}$

$P(A \text{wins})=\frac{70}{120}$

$P(A \text{wins})=0.5833$

6 0

3 years ago

The sum of three numbers is 100. The second number is 2 times the third. The third number is 8 less than the first. What are the

8_murik_8 [283]

Answer:

Step-by-step explanation:x+y+z=100(let x ,y,z represent the first second and third numbers respectively)

Therefore,y=2z

z=x-8

y=2x-16

substituting the values of x,y and z into the question,we have

x+(2x-16)+(x-8)=100

Simplifying,we have

4x-24=100

adding 24 to both sides of the equation,

4x=100+24

4x=124

dividing both sides of the equation by the co-efficient of x,we have

4x/4=124/4

4.31=124

therefore,x=31.

6 0

1 year ago