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Alla [95]
3 years ago
6

A group of 4 people go out to eat. They split the bill so that each person pays 1/4 of the total price appetizers is $6 main dis

h is $9 write an expression to show how much each person pays
Mathematics
1 answer:
postnew [5]3 years ago
3 0

Answer:

(6 + 9) / 4

Step-by-step explanation: you have to add the costs of the appetizers and the main dish ( 6 + 9 ). then you have to divide the sum by 4 since there are 4 people in total ( /4 ).

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In a right triangle, the measure of one acute angle is 12 more than twice the measure of the other acute angle. Find the measure
soldi70 [24.7K]

Given:

In a right triangle, the measure of one acute angle is 12 more than twice the measure of the other acute angle.

To find:

The measures of the 2 acute angles of the triangle.

Solution:

Let x be the measure of one acute angle. Then the measure of another acute is (2x+12).

According to the angle sum property, the sum of all interior angles of a triangle is 180 degrees. So,

x+(2x+12)+90=180

3x+102=180

3x=180-102

3x=78

Divide both sides by 3.

x=\dfrac{78}{3}

x=26

The measure of one acute angle is 26 degrees. So, the measure of another acute angle is:

2x+12=2(26)+12

2x+12=52+12

2x+12=64

Therefore, the measures of two acute angles are 26° and 64° respectively.

8 0
2 years ago
Rectangular pyramid:volume 448 inches cubed, base edge 12 inches.;base length 8 inches
saw5 [17]
Whats your question?
4 0
3 years ago
Helppppppppopopoppppp
skelet666 [1.2K]

Answer:

DG = 30

Step-by-step explanation:

Given:

DH = 6

DE = 4

EF = 16

Required:

DG

Solution:

DG = DH + HG

DG = 6 + HG

Let's find HG

Given that HE is parallel to the third side of ∆DGF, based on the side-splitter theorem, the other two sides of ∆DGF are divided proportionally.

Therefore,

DH/HG = DE/EF

6/HG = 4/16

Cross multiply

HG*4 = 16*6

HG = 96/4

HG = 24

✔️DG = 6 + HG

DG = 6 + 24

DG = 30

7 0
3 years ago
Last season two running back's on the college football team rush for a combined 1550 yards one rushed four times as many yards a
dmitriy555 [2]

Answer:

The player with the most runs had a rush of 1,240 yards

Step-by-step explanation:

In this question, we are asked to calculate the number of yards that was rushed by one of two person given their combined run and an extra information.

Firstly, let the person that had the smaller number of rush have a rush of x rushes. The second person has a rush of 4 times the other. This makes a number of 4x rushes

By adding both together, we have a total of 1550 yards

Mathematically, this means that x + 4x = 1550

5x = 1550

x = 1550/5 = 310 rushes

The second player had a rush of 4x and that is 4 * 310 = 1,240 rushes

3 0
3 years ago
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Is 400 pints greater or lesser than 100 gallons
larisa [96]
The answer is greater than
3 0
2 years ago
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