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Brilliant_brown [7]
2 years ago
9

Lawrence has a total of 15 five dollar bills and ten dollar bills in his pocket. the value of these bills is $100.00. how many f

ive dollar bills are in Lawrence's
pocket?
Mathematics
2 answers:
denis23 [38]2 years ago
5 0
10 $5 bills
5 $10 bills
erma4kov [3.2K]2 years ago
5 0

Answer:

There are 10 five dollars bills in Lawrence's  pocket.

Step-by-step explanation:

Given,

Total bills = 15,

Let x be the number of five dollar bills,

⇒ The number of ten dollars bill = 15 - x

Thus, the total amount = 5x + 10(15-x)

According to the question,

5x + 10(15-x) = 100

⇒ 5x + 150 - 10x = 100

⇒ - 5x + 150 = 100

⇒ -5x = 100 - 150

⇒ -5x = -50

⇒ x = 10

Hence, there are 10 five dollars bills in Lawrence's  pocket.

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Katya made another set of dolls. In the new set, the largest doll has a diameter of 8.75 cm and a height of 15.6 cm. Is this a d
Natali5045456 [20]

<em>Complete Question:</em>

<em>Katya creates handmade sets of dolls, which is sold to craft and souvenir stores. The first set of dolls has a middle diameter of 7cm and a height of 12cm.</em>

<em>Katya made another set of dolls. In the new set, the largest doll has a diameter of 8.75 cm and a height of 15.6 cm. Is this a dilation of the first set of dolls? </em>

<em></em>

Answer:

The new set is not a dilation of the first set

Step-by-step explanation:

Given

First Set:

Height = 12cm

Diameter = 7cm

New Set:

Height = 15.6cm

Diameter = 8.75cm

Required

Determine if the new set is a dilation of the second

To do this, we pass through the following steps:

1. Divide the height of the first set by the new set

2. Divide the diameter of the first set by the new set

3. Result in (1) and (2) must be equal if the new set is a dilation of the first set

Following the steps above:

(1)

Height\ Ratio = \frac{H_2}{H_1}

Height\ Ratio = \frac{15.6}{12}

Height\ Ratio = 1.3

(2)

Diameter\ Ratio = \frac{D_2}{D_1}

Diameter\ Ratio = \frac{8.75}{7}

Diameter\ Ratio = 1.25

(3) Make comparison

The ratio in (1) does not equal the ratio in (2)

i.e.

1.3 \neq 1.25

<em>Hence, the new set is not a dilation of the first set</em>

7 0
3 years ago
Who can help and explain these 2 questions
Dominik [7]
Coefficients are added together because they are like terms, this can be proven with the distributive property. For example, x(2x+x)=2x^2+x^2=3x^2.

The commutative property of addition and the associative property demonstrate this.

The word "commutative" comes from "commute" or "move around", so the Commutative Property<span> is the one that refers to moving values around.
</span>
The associative property<span> states that you can add or multiply regardless of how the numbers are grouped. </span>
6 0
3 years ago
Can someone help with this idk how to do it and pls explain.
V125BC [204]
{35km + x = 140km} {140km - 35km= 105km} so the car traveled 105 kilometers.
6 0
3 years ago
Read 2 more answers
A sum of money is divided between A,B and C in the ratio 9:8:7. If the total sum of money shared is 480. How much money does A r
mr Goodwill [35]

Given:

A sum of money is divided between A,B and C in the ratio 9:8:7.

Total sum is 480.

To find:

The part of money A get.

Solution:

Let A, B and C get 9x, 8x and 7x respectively.

Total sum is 480.

9x+8x+7x=480

24x=480

Divide both sides by 24.

x=\dfrac{480}{24}

x=20

Now,

A\ get =9x

A\ get =9(20)

A\ get =180

Therefore, amount received by A is 180.

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2 years ago
If a football team plays A games. and loses B games. what was their winning percentage
Leona [35]
The answer would be  (B/A)*100%
3 0
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