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motikmotik
3 years ago
14

A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is

the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation.
x + y = 24

3x + 5y = 100

What does the solution of this system indicate about the questions on the test?

The test contains 4 three-point questions and 20 five-point questions.
The test contains 10 three-point questions and 14 five-point questions.
The test contains 14 three-point questions and 10 five-point questions.
The test contains 20 three-point questions and 8 five-point questions.
Mathematics
1 answer:
Marat540 [252]3 years ago
8 0
X=24 y=24
X=33.33 Y=20
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Item C sold for 5$ and item D sold for 7 you sold a combined total of 60 of item c and D and you made 400$ how many of each item
Aneli [31]

Answer:

50 of D and 10 of C

Step-by-step explanation:

First of all, put this data into 2 equations.

You sold 60 items, so C+D=60

C is $5 so we can represent it by 5C

D is $7 so we can represent it by 7D

You made $400 total from C and D, so 5C+7D=400

We can use simultaneous equations to solve this.

To eliminate one of these variables, we'll multiply the first one by 5 to make it 5C like the other.

5(C+D=60)     (make sure you multiply both sides.)

so 5C+5D=300

5C+7D=400

Now we solve it:

5C-5C+7D-5D=400-300

7D-5D=100

2D=100

D=50

Now we can substitute this with one of the equations to find C

C+50=60

C=60-50

C=10

so, (10x5)+(50x7)=400

4 0
4 years ago
A smartphone costs ​$120. Sales tax is 55​%. What is the total​ cost, including​ tax?
hjlf
You multiply  $120 by .55 to get the cost for tax which is $66 you add that to $120 to get $186
6 0
3 years ago
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Find the measure of each angle if c||d show work
weeeeeb [17]

Answer:

Part a) <1=72°

Part b) <2=108°

Part c) <3=72°

Part d) <4=108°

Step-by-step explanation:

step 1

Find the measure of angle 1

we know that

<1+108°=180° -----> by supplementary angles

so

<1=180°-108°=72°

step 2

Find the measure angle 2

we know that

<2=108° -----> by corresponding angles

step 3

Find the measure angle 3

we know that

<3=<1-----> by corresponding angles

so

<3=72°

step 4

Find the measure angle 4

we know that

<4=108° -----> by alternate exterior angles

5 0
3 years ago
There are 80 dogs and cats in the animal shelter. The ratio of dogs to cats is 5/11. How many of the animals are dogs
Dima020 [189]

Answer:

25 dogs and 55 cats

Step-by-step explanation:

5/11 ratio, first add those up which you get 16

Then divide the total amount of animals by the ratio-80

80/16 = 5

(5*5)/(11*5)

25 dogs and 55 cats

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3 years ago
Directions: Simplify the following expressions.<br> 2) 3<br> 1) (40*2) - (6*11)
Aleksandr [31]

Answer:

[40 × 2] - [6 × 11]

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80-66

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3 years ago
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