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scZoUnD [109]
2 years ago
11

When Vince does 14 push-ups and 12 sit-ups, it takes a total of 52 seconds. In comparison, he needs 48 seconds to do 12 push-ups

and 12 sit-ups. How long does it take Vince to do each kind of exercise?
Mathematics
1 answer:
marshall27 [118]2 years ago
5 0

Answer:

it takes 2 seconds to do one situp

it takes 2 seconds to do one pushup

to do 14 pushups, it takes 28 seconds.

to do 12 situps it takes 24 seconds

to do 12 pushups, it takes 24 seconds

BRAINLIEST PLEASE!

hope this helps :)

Step-by-step explanation:

14x + 12y = 52

12x + 12y = 48

^^^ this is an inequality that we can make.  

x stands for pushups

y stands for situps

if we subtract the second equation from the first, we get

2x = 4

x = 2

now we can place x in one of the equations to solve for y

12(2)+12y=48

24 + 12y = 48

12y = 24

y = 2

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Expand and simplify <br> 4(2x+3)+ 4(3x+2)
stepladder [879]

Answer:

20x + 20

Step-by-step explanation:

4(2x+3)+ 4(3x+2)

Expand the brackets.

8x + 12 + 12x + 8

Now simplify.

20x + 20

6 0
3 years ago
Im not sure how to do this or what function to use SIN, COS, or TAN but if you could walk me through it that would be so so so a
Elanso [62]

Answer: 3.8

Step-by-step explanation:first, you need to figure out what side you’re looking for. Side AC is opposite of the angle you’re given. They also give you length of side AB which is 4. That is the hypotenuse (side directly across from right angle). So, you have the hypotenuse, and need the find the opposite side measure. Which option uses opposite and hypotenuse? That’s Sin. So, you would do: sin70 = ? / 4.

sin (of given angle)= opposite / hypotenuse.

Sin (70 degrees) = ? / 4

Then you solve for “?”

Type sin70 into your calculator, then multiply both sides by 4 to get “?” by itself. You should get 3.758770483, which rounds to 3.8

5 0
2 years ago
Simplify: -3 1/2(-12 1/4)
pshichka [43]

Answer:

26 \frac{1}{4}

Step-by-step explanation:

First we turn them into improper fractions

-\frac{7}{2}(-\frac{45}{4})

then we multiply it

-\frac{7}{2}*-\frac{45}{4}=\frac{315}{12}=26\frac{1}{4}

6 0
3 years ago
What is the value of x in the figure below? to 118° A. 28 B. 62 C. 90 D. 118​
My name is Ann [436]

Answer:

D. 118°

Step-by-step explanation:

x = 118° { being corresponding angles }

5 0
2 years ago
You are planning to invest $5000 in an account earning 9% per year for retirement. a. If you put the $5000 in an account at age
ICE Princess25 [194]

Answer:

A).Amount = $218250

B). Amount = $88700

Step-by-step explanation:

A) .$5000 in an account at age 23, and withdraw it 42 years

Number of years t= 42 years

Principal P = $5000

Rate r= 9%

Number of times compounded n= 42

A= p(1+r/n)^(nt)

A= 5000(1+0.09/42)^(42*42)

A= 5000(1+0.002143)^(1764)

A= 5000(1.002143)^1764

A= 5000(43.65)

A= 218250

Amount = $218250

B).waits 10 years before making the deposit, so that it stays in the account for only 32 years

Number of years t= 32 years

Principal P = $5000

Rate r= 9%

Number of times compounded n= 32

A= p(1+r/n)^(nt)

A= 5000(1+0.09/32)^(32*32)

A= A= 5000(1+0.0028125)^(1024)

A= 5000(1.0028125)^1024

A= 5000(17.74)

A= 88700

Amount = $88700

5 0
3 years ago
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