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3 years ago

15

Kim drives x miles a week. Terry drives two times more than Kim and Jerry drives three times more than Terry. Which expression r

epresents the amount of miles Jerry drives?

1 answer:

Scrat [10]3 years ago

3 0

Use T and J as names.

T=2x
J=3T but T=2x, so
J=3(2x) = 6x
J=6x

You might be interested in

In 4 minutes, a conveyor belt moves 800 pounds of recyclable aluminum from the delivery truck to a storage area. A smaller belt

kkurt [141]

Answer:

It takes 2 minutes 4 seconds to move the cans to storage area if both the belts are used.

Step-by-step explanation:

Given - In 4 minutes, a conveyor belt moves 800 pounds of recyclable

aluminum from the delivery truck to a storage area. A smaller belt

moves the same quantity of cans the same distance in 6 minutes.

To find - If both belts are used, find how long it takes to move the cans

to the storage area.

Proof -

Given that,

Larger belt take 4 minutes to transfer the aluminium from delivery truck to storage area.

⇒ Time taken by Larger belt = 4 min/ shifting

Also,

Smaller belt take 6 minutes to transfer the aluminium from delivery truck to storage area.

⇒ Time taken by Smaller belt = 6 min/ shifting

Now,

As we know that Time is inversely proportional to time, so

Rate of Larger Belt = $\frac{1}{4}$ shifting/min

Rate of Smaller Belt = $\frac{1}{6}$ shifting/min

Now,

Let us assume that , if both belts used then,

Total time taken = x min/shifting

Then, Rate = $\frac{1}{x}$ shifting/min

Now,

$\frac{1}{4}$ + $\frac{1}{6}$ = $\frac{1}{x}$

⇒ $\frac{6 + 4}{24} = \frac{1}{x}$

⇒ $\frac{10}{24} = \frac{1}{x}$

⇒10x = 24

⇒x = $\frac{24}{10}$ = 2.4 minutes

∴ we get

It takes 2 minutes 4 seconds to move the cans to storage area if both the belts are used.

3 0

2 years ago

A company makes two types of biscuits; Jumbo and Regular. The oven can cook at most 200 biscuits per day. Each Jumbo biscuit req

never [62]

The answer is $44

$0.11 * 400= 44

The max possible profit is $44

5 0

3 years ago

20 points Help!

Afina-wow [57]

2x+8–10=22
2x=24
x=24/2
x=12

yes! you’re absolutely right, i hope i helped you

5 0

3 years ago

Read 2 more answers

Mr. Smith baked 144 blueberry pies, some strawberry pies, and some apple pies. The number of apple pies is 4\5 of the number of

Leviafan [203]

B = 144
a = 4/5s
s = a + 24

s = 4/5s + 24
5/5s - 4/5s = 24
1/5s = 24
s = 24 * 5
s = 120

a = 4/5s
a = 4/5(120)
a = 480/5
a = 96

blueberry pies = 144
total of all pies = 144 + 120 + 96 = 360

percent of blueberry pies is : 144/360 = 0.40 = 40% <==

6 0

3 years ago

Read 2 more answers

At a ski resort, 1/4 of the 300 skiers are beginners, and 1/4 of the 260 snowboarders are beginners. The resort staff used the d

Evgen [1.6K]

$\frac{1}{4}(300 + 260) = \frac{1}{4} \times 300 + \frac{1}{4} \times 260$ is the expression that demonstrates the distributive property

<em><u>Solution:</u></em>

Given that,

At a ski resort, $\frac{1}{4}$ of the 300 skiers are beginners

$\frac{1}{4}$ of the 260 snowboarders are beginners

The resort staff used the distributive property to make the calculation of the total number of beginners on the ski slopes

Beginners in skiers = $\frac{1}{4}$ of the 300

Beginners in snowboarders = $\frac{1}{4}$ of the 260

Total number of beginners = Beginners in skiers + Beginners in snowboarders

$\text{ Total number of beginners } = \frac{1}{4}(300) + \frac{1}{4}(260)$

We have to use distributive property

The distributive property of multiplication states that when a number is multiplied by the sum of two numbers, the first number can be distributed to both of those numbers and multiplied by each of them separately, then adding the two products together for the same result as multiplying the first number by the sum

<h3>a(b + c) = ab + bc</h3>

<em><u>Therefore, our expression is:</u></em>

$\frac{1}{4}(300) + \frac{1}{4}(260)$

We have to take $\frac{1}{4}$ as common term to get distributive property

$\frac{1}{4}(300) + \frac{1}{4}(260) = \frac{1}{4}(300 + 260)\\\\\frac{1}{4} \times 300 + \frac{1}{4} \times 260 = \frac{1}{4}(300 + 260)$

Thus distributive property is applied

8 0

3 years ago