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andriy [413]
3 years ago
6

Amy, Doug, and Ginger took a math test. Amy scored 12 points higher than Doug, and Ginger scored twice as many points as Doug. T

he total points the three friends received was 208. How many points did Doug score on the test?
Mathematics
2 answers:
lakkis [162]3 years ago
7 0
Amy(A): D + 12
Doug(D):D
Ginger(G):2D
SumOfAll(S)=208 : Total points / sum of all three friends

(D+12)+D+2D=208
D+12+3D=208 - transpose 12 to the right side
4D=208-12 
4D = 196   - divide both sides by 4
D=49
Therefore, Doug scored 49

mafiozo [28]3 years ago
7 0
The equation is provided below:

x = Doug's points
12 + x = Amy's score
2x = Ginger's score
208 = total points of Doug, Amy and Ginger.

x + ( 12 + x ) + 2x = 208
x + 12 + x + 2x = 208
x + x + 2x = 208 - 12
4x = 196
4x / 4 = 196 / 4
x = 49 (Doug's Score)

Amy's Score:
12 + ( 49 ) = 61

Ginger's Score:
2 * ( 49 ) = 98


49 (Doug's) + 61 (Amy's) + 98 (Ginger's) = 208.

The correct answer for Doug's score is 49.

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If the length of side a is 12 centimeters, measure of angle B = 36 degrees and measure of angle C = 75 degrees , what is the len
Fofino [41]
The length of side b is 7.61 m.

Here's how the length was calculated:

Let:

length of side a = 12 centimeters
B = 36 degrees
C = 75 degrees

In order to solve an AAS triangle, use the three angles, add to 180 degrees to find the other angle, then, use The Law of Sines to find each of the other two sides.

A = 180 - (36 + 75) = 69 degrees

by using the law of sines:

a / sin A = b / sin B = c/ sin C

we will substitute the given values:

12 / sin (69) = b / sin (36)

b = unknown

12 / 0.93 = b / 0.59

12.9 = b / 0.59

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6 0
3 years ago
What is the difference between a proper and an improper subset?
lutik1710 [3]

A proper subset describes the set in full.  An improper subset strays from the original set.

4 0
3 years ago
Read 2 more answers
Cameron buys 2.45 pounds of apples and 1.65 pounds of pears. Apples and pears each cost c dollars per pound. If the total cost a
nordsb [41]

Answer:

4.12=2.45c+1.65c

Step-by-step explanation:

We are given,

Cameron buys 2.45 pounds of apple and 1.65 pounds of pears.

Also, the cost of apples and pears is 'c' dollars per pound.

Thus, the cost of 2.45 pounds of apple is 2.45c dollars and the cost of 1.65 pounds of pear is 1.65c dollars.

Since, the total cost after using a coupon is $4.12.

So, we get the equation representing the situation is,

Total cost = Total cost of apples + Total cost of pears.

i.e. 4.12=2.45c+1.65c

i.e. 4.12=4.1c

i.e. c=\frac{4.12}{4.1}

i.e. c = 1 dollar

Hence, the required equation to find c is 4.12=2.45c+1.65c.

5 0
3 years ago
Ashley puts 45 stamps in an album. She puts the same number of stamps on each page,and 3 stamps on the last page. There are 2 mo
ludmilkaskok [199]
45 pages total
3 on last page
45-3=42
there are 42 on the rest of the pages
on each page, there are 2 more pages in album than then stamps on pages

amount of stamps on pages with equal number of stamps is
A=numberofpgest times number of stamps on pages
number of pages=p
number of stamps per papge=s
a=ps

2 more pages than stamps on pages
p=2+s
total number of stamps per page is s=(45-3)/(p-1)
(what I did is I first got rid of number of stamps on last page, then got rid of the last page)
P=2+s
s=(45-3)/(2+s-1)
s=42/(s+1)
times s+1 both sides
s^2+s=42
minus 42
s^2+s-42=0
factor
(s-6)(s+7)=0
set equal to zero
s-6=0
s=6

s+7=0
s=-7, false, no negative stamps


6 stamps per page

sub
p=2+s
p=2+6
p=8
8 pages

check
last page is 3 so 8-1=7 page left

7*6=42
3+42=45

correct


there are
8 pages in the album
6 stamps per page
6 0
3 years ago
Round 10.95 to the nearest tenth
Serhud [2]

Hi there! To round 10.95 to the nearest tenth, we find the number in the tenth place, which is 9 and look one place to the right. Round up if the number is greater than 5 or equal to 5 and round down if its less than 5.

The answer is 11.0 or just 11.

<em>Ed: Explanation below.</em>

<em />

11.00

10.99

10.98

10.97

10.96

10.95 Look at the 9. Then look to the right. Do I round up or down?

10.94

10.93

10.92

10.91

10.90

If the number is greater or equal to 5, you round up. If the number is smaller than 5, you round down. 9 is greater than 5, so we round up.

Therefore, the answer is 11.

5 0
3 years ago
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