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Burka [1]
3 years ago
6

In 1 hour Samantha can make 6 beaded bracelets. In 3 hours she can make 18 bracelets. How many can she make in 4 fours? PLEASE P

ROVIDE EXPLANATION! If you don't know the answer, then don't reply to this.
A. 21
B. 24
C. 27
D. 30
Mathematics
1 answer:
Step2247 [10]3 years ago
3 0
Basically Samantha makes six bracelets per hour, so:
After 1 hour she makes 6
After 2 hours she makes 12
After 3 hours she makes 18
After 4 hours she makes 24, therefor the answer is B

This can also be modelled by the equation B = 6t, where B is the number of bracelets and t is the number of hours, so:
B = 6(4) = 24
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How many liters each of a 35% acid solution and a 80% acid solution must be used to produce 60 liters of a 65% acid solution? (R
serg [7]

Solving a system of equations we will see that we need to use <u>40 liters of the 80% acid solution</u>, and the other <u>20 liters are of the 35% acid solution</u>.

<h3>How many liters of each solution do we need to use?</h3>

First, we need to define the variables:

  • x = liters of the 35% acid used.
  • y = liters of the 80% acid used.

We know that we want to produce 60 liters of 65% acid, then we have the system of equations:

x + y = 60

x*0.35 + y*0.80 = 60*0.65

(in the second equation we wrote the percentages in decimal form).

To solve this we need to isolate one of the variables in one equation and then replace it in other one, isolating x we get:

x = 60 - y

Replacing that in the other equation:

(60 - y)*0.35 + y*0.80 = 60*0.65

y*(0.80 - 0.35) = 60*(0.65 - 0.35)

y*0.45 = 60*0.30

y = 60*0.30/0.45 = 40

So we need to use <u>40 liters of the 80% acid solution</u>, and the other <u>20 liters are of the 35% acid solution</u>.

If you want to learn more about systems of equations:

brainly.com/question/13729904

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7 0
2 years ago
Pls help. What is the appropriate congruent for these triangles
tekilochka [14]

Answer:

ASA

Step-by-step explanation:

In given triangle

Line BC = Line QR

Angle ABC = Angle PQR

Angle ACB = Angle PRQ

Computation:

Angle ABC = Angle PQR (Angle)

Line BC = Line QR (Side)

Angle ACB = Angle PRQ (Angle)

So,

ΔABC ≅ ΔPQR

By Angle Side Angle property

ASA

5 0
2 years ago
Both students made a mistake.
Musya8 [376]
I’m so sorry! I hope you find the answer soon! I’m stressing out as well
5 0
3 years ago
Helppp
Ugo [173]

Answer:

y = 3/4x + 7

Step-by-step explanation:

Put it in point-slope form:

y - 4 = 3/4(x - -4)

y - 4 = 3/4(x + 4)

y - 4 =3/4x + 3

y = 3/4x + 7

5 0
3 years ago
Which digit is in the ten thousandths place in 4,6037?
Iteru [2.4K]

Answer:

7

Step-by-step explanation:

4- Ones

6- tenths

0-hundredths

3-thousandths

7-ten-thousandths

Hope this helps! :)

6 0
3 years ago
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