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DaniilM [7]
3 years ago
5

Peter has 100 dollars. His mom gives him x dollars more. Write an expression to represent the situation.

Mathematics
2 answers:
zvonat [6]3 years ago
7 0

Answer: x + 100

we know he has 100, and the unknown amount is x. since he has 100 and an undefined amount, you just add them together as you would with 2 defined amounts

Step-by-step explanation:

denis23 [38]3 years ago
5 0

Answer:

100+x

Step-by-step explanation:

Peter starts out with 100 dollars and then gets X more meaning we have to add X to what he originally had and that looks like this 100+x

I hope this helps and please don't hesitate to ask if there is anything still unclear!

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Joe the trainer has two solo workout plans that he offers his clients: Plan A and Plan
sasho [114]
Let workout Plan A last a hours, and Plan B last b hours.

we are assuming personal training for each client.

i)
"On Monday there were 2 clients who did Plan A and 3 who did Plan"

the total time spent is : 2*a + 3*b =2a+3b

ii)
"On Tuesday there were 4 clients who did Plan A and 8 who did Plan B"

the total time spent was 4*a+8*b=4a+8b

iii) "Joe trained his Monday clients for a total of 7 hours"

so 2a+3b = 7

iv)

"Joe trained his Tuesday clients for a total of 17 hours"

so 4a+8b=17

v) thus we have the following system of equations:

2a+3b = 7
4a+8b=17

multiply the first equation by -2, and then add both equations, to eliminate a:

-4a-6b=-14
4a+8b=17
-------------------
2b=3, so b=3/2

2a+3b = 7
2a+3(3/2)=7
2a+9/2=7
multiply by 2:
4a+9=14
4a=5
a=5/4

Answer :

Plan A lasts 5/4=1.25 h
Plan B lasts 3/2=1.5 h


8 0
3 years ago
Solve for x 19-24. find the measure of the angle indicated in bold for 25-28.
Elodia [21]
N 19) 
angle (21x+6) is equal angle 90°-----> by alternate exterior angles
so
21x+6=90--------> 21x=84----------> x=4°

the answer  N 19) is 4 degrees

N 20)
angle 75 is equal angle 11x-2-----> by corresponding angles
so
11x-2=75-----> 11x=77--------> x=7°

the answer N 20) is x=7 degrees

N 21)
angle 60 is equal angle (8x-4)------> by alternate interior angles
so
8x-4=60-----> 8x=64--------> x=64/8-----> x=8°

the answer N 21) is x=8 degrees

N 22) 
angle (x+139) is equal to angle 132-----> by alternate interior angles
so
x+139=132-------> x=132-139--------> x=-7 °

the answer N 22) is x=-7 degrees

N 23) 
angle (-1+14x) is equal to angle (12x+17)---->  by alternate exterior angles
so
-1+14x=12x+17------> 14x-12x=17+1----> 2x=18----> x=9

the answer N 23) is x=9 degrees

N 24) 
angle (23x-5) is equal to angle (21x+5)----> by corresponding angles
so
23x-5=21x+5-----> 23x-21x=5+5-----> 2x=10-----> x=5

the answer N 24) is x=5 degrees

N 25)
angle (x+96) and angle (x+96)-------> are supplementary angles
so
x+96+x+96=180--------->2x+192=180------>  x=-6°
the angle indicated in bold is (-6+96)=90°

N 26) 
angle (20x+5) and angle (24x-1)-------> are supplementary angles
so
20x+5+24x-1=180------> 44x=176-----> x=4°
the angle indicated in bold is (20*4+5)=85°

N 27)
angle (6x) is equal to angle (5x+10)--------> by corresponding angles
so
6x=5x+10------> 6x-5x=10------> x=10
the angle indicated in bold is (6*10)=60°

N 28)
angle (x+109) and angle (x+89) are supplementary angles
so
x+109+x+89=180----> 2x=-18-------> x=-9
the angle indicated in bold is (x+89)----> -9+89=80°




6 0
3 years ago
Giving out brainliest ALL I need is to know if my answer is correct
Ipatiy [6.2K]

Answer:

yes

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
What is an<br> equation of the line that passes through the points (-3,8) and (4,1)?
GuDViN [60]

Answer: y= -1x + 5

Step-by-step explanation:

(-3,8) ( 4,1)

8-1= 7

-3-4 = -7

7/-7 = -1  so the slope is -1   so we will use the formula y=mx+b to find the y-intercept

8= -1(-3) + b

8= 3 + b

-3   -3

b= 5  so the y intercept is 5 now we will write the equation like this y= -1x + 5

6 0
3 years ago
A multivitamin tablet contains 10.5 mg of calcium. How much calcium does a bottle of 50 tablets contain? Write your answer in gr
andrew11 [14]
Just do 10.5 × 50 and whatever answer you get label as grams
4 0
3 years ago
Read 2 more answers
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