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3 years ago

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Jake has a piece of yarn that is feet long Blair has a piece of yarn that is 4 inches long. who has the longer piece of yarn? Ex

plain.

1 answer:

xenn [34]3 years ago

3 0

Jake has the longer piece of yarn, there is 12 inches in a foot. Meanwhile blair only has a 4 inch piece of yarn.

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2. Four less than six times a number is 32. Write and solve an equation.

zhenek [66]

Answer:

6x - 4 = 32. The variable (times a number) is equal to 6.

Step-by-step explanation:

So this equation is basically asking you to formulate an equation using only the words given. For this equation, let's use a variable in place of the part where it says "times a number." When a question says that phrase, that means that they are telling you to use a variable in place of a mystery number. A variable is a letter in place of a mystery number. Knowing this, let's now solve the equation. We will use the variable x in place of our mystery number.

Four less than 6 times a number: 6x - 4 _ __.

Now we can add the equal sign and the 32: 6x - 4 = 32.

We can now solve. Add 4 to both sides of the equation to cancel out the -4:

6x - 4 = 32

<u>+4 + 4</u>

6x = 36

Now we divide 6 into both sides of the equation to single out the x.

<u>6x = 36</u>

6 6

36/6 = 6, so:

x = 6

I hope that this helps.

8 0

2 years ago

What is the volume of this rectangular prism?

ollegr [7]

Answer:

$57,600cm {}^{2}$

<em><u>Solving steps:</u></em>

To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.

=> 40 cm ${}^{2}$ × 30cm ${}^{2}$ × 48 cm ${}^{2}$

multiply all the numbers

=> 57,600cm ${}^{2}$

Hi hi hi hi

8 0

2 years ago

Read 2 more answers

While setting up a fireworks display, you have a tool at the top of the

atroni [7]

Answer:

0.79 sec

Step-by-step explanation:

Given there is a tool at the top of the building which is dropped by a worker and it follows the following equation at every instant of time .

$h(t)=-16t^{2} +h_{0}$

where $h_{0} =10 feet$

We know that this height is measured from the base of the building which means that when the tool reaches the bottom of the building it has h = 0 feet.

Let this be done at time t

h(t) = 0

$-16t^{2} +10=0$

$t^{2} =\frac{10}{16}$

$t=\frac{\sqrt{10} }{4}$

t = 0.79 sec

Therefore the total time taken by the tool to reach the bottom of the building is 0.79 sec.

8 0

3 years ago

Find the unit rate:<br><br> 264 miles per 8 gallons

Naily [24]

Answer:

33 miles per 1 gallon

Step-by-step explanation:

4 0

3 years ago

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Find the probability that the senator was in the Democratic party, given that the senator was returning to office.

shutvik [7]

Answer:

The probability that the senator was in the Democratic party, given that the senator was returning to office is 0.4715.

Step-by-step explanation:

The complete question is:

Sophia made the following two-way table categorizing the US senators in 2015 by their political party and whether or not it was their first term in the senate.

Democratic Republican Independent Total

First Term 11 28 11 50

Returning 33 26 11 70

Total 44 54 22 120

Find the probability that the senator was in the Democratic party, given that the senator was returning to office.

Solution:

The conditional probability of an event <em>A</em> given that another event <em>X</em> has already occurred is given by:

$P(A|X)=\frac{P(A\cap X)}{P(X)}$

The probability of an event <em>E</em> is given by the ratio of the number of favorable outcomes to the total number of outcomes.

$P(E)=\frac{n(E)}{N}$

Compute the probability of selecting an US senator who is a Democratic and was returning to office as follows:

$P(D\cap R)=\frac{33}{120}=0.275$

Compute the probability of selecting an US senator who was returning to office as follows:

$P(R)=\frac{70}{120}=0.5833$

Compute the conditional probability, P (D | R) as follows:

$P(D|R)=\frac{P(D\cap R)}{P(R)}$

$=\frac{0.275}{0.5833}\\\\=0.4714555\\\\\approx 0.4715$

Thus, the probability that the senator was in the Democratic party, given that the senator was returning to office is 0.4715.

4 0

3 years ago

Read 2 more answers