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iVinArrow [24]
3 years ago
6

Rewrite the expression using the GCF and the distributive property (39+91)

Mathematics
1 answer:
inessss [21]3 years ago
8 0

Answer:

1. 13\cdot (3+7)

2. $2,520

Step-by-step explanation:

1. Given numbers 39 and 91. Factorize them:

39=3\cdot 13\\ \\91=7\cdot 13,

then

GCF(39,91)=13

Use distributive property:

39+91=3\cdot 13+7\cdot 13=13\cdot (3+7)

2. Month salary = $2,100

To find 10% of $2,100, just multiply $2,100 by 0.1 (because 10% is 0.1 as decimal):

\$2,100\cdot 0.1=\$210

$210 is the monthly tax, then the year tax is

\$210\cdot 12=\$2,520

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Sarah bought a bike that cost $260. she had a coupon that was worth $55 off the cost of any bike. use the expression 260 + (-55)
mel-nik [20]

Answer:

Well, you can't add $55 on a coupon or it would cost more.

Step-by-step explanation:

Just subtract 260 by 55.

260 - 55 = $205 for the bike.

5 0
3 years ago
adam prepares a meal of shrimp and brown rice. it must contain exactly 6 g of fat and 10 mg of iron. each 5oz serving of shrimp
jasenka [17]

Answer:

Adam needs 9/8 of a 5oz serving of shrimps (which equals to 5.625 oz) and 5/8 of a cup of brown rice (which is around 10 tablespoons).


Explanation:

You are given:

every serving of shrimp contains 2g of fat and 5mg of iron;

every serving of rice contains 6g of fat and 7mg of iron;

each meal should have 6g of total fat and 10mg of total iron.


You need to set a system of equation: let's call

s = quantity of shrimps

r = quantity of rice

The equation for the total fat will be: the quantity of fat in the serving of shrimps plus the quantity of fat in the serving of rice must be equal to 6g

2s + 6r = 6    (1)

Similarily:

the quantity of iron in the serving of shrimps plus the quantity of iron in the serving of rice must be equal to 10g

5s + 7r = 10     (2)


In order to solve the system, solve for s in equation (1):

s = (6-6r)/2 = 3 - 3r        (3)

Substitute in equation (2):

5(3 - 3r) + 7r = 10

and solve for r:

15 - 15r + 7r = 10

8r = 5

r = 5/8

Substitute the value of r in equation (3):

s = 3 - 3×5/8 = 9/8


Therefore Adam would need 9/8 of a 5oz serving of shrimps and 5/8 of a 1 cup of brown rice for each meal.

6 0
3 years ago
A watermelon seed is 0.4cm long. How far would a line of 124 watermelon seeds stretch? Write your answer in meters.
Ahat [919]
Distance stretched  = 0.4 *  124  =  49.6 cms

converting to meters we divide by 100:-

Answer is 0.496 meters
6 0
3 years ago
HELP I attracted a picture????
posledela

Answer:

D. 187 m²

Step-by-step explanation:

Alrighty, so this is a standard area problem, the formula for finding the area of a triangle is base x height ÷ 2  so:

34 x 11 ÷ 2 = 187

So the area of the triangle is 187 m²

hope this helps:)

6 0
2 years ago
In the given figure, C is the midpoint of AB and M is the midpoint of AC . Find the length of NB if MC = 4 and AN = 14.
Elina [12.6K]

Answer:

Given MC = 4

AN = 14

To Find, the length of NB

Step-by-step explanation:

AB is a line which has midpoint “C”. Now the line is divided into two equal portion AC and CB.

The AC has midpoint “M” and MC is 4, so AM will also be 4.

N is the midpoint of CB. So, CB = CN + NB

Now we know AC = AM + MC = 4  + 4 =8

Given, AN = 14

AN = AC + CN

14 = 8 + CN

CN = 6

Since N is the midpoint of CB then, CN = NB

Therefore, the NB is 6

8 0
3 years ago
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