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Pachacha [2.7K]
3 years ago
12

18x-6y= 54 12y=6x-18 Solve this system of equations using the substitution method.

Mathematics
1 answer:
olga_2 [115]3 years ago
5 0

Answer:

x=10/3 , y=1/6

Step-by-step explanation:

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Gracie bought a cd for $810 that earns a 2.9 APR and is compounded quarterly. The CD matures in 5 years. How much will this CD b
enyata [817]

Answer:

The amount that this CD will be worth at maturity would be $935.90. The right answer is B.

Step-by-step explanation:

In order to calculate How much will this CD be worth at maturity we would have to use and calculate the formula of future value as follows:

Future Value=Present value×(1+i/n)∧nt

Future Value=$810×(1+2.9%/4)∧(4×5)

Future Value=$935.90

The amount that this CD will be worth at maturity would be $935.90

8 0
3 years ago
Cathy uses 3/4 teaspoon of vanilla in a batch of cookies. How many teaspoons are needed for 8 batches of cookies
34kurt
6 teaspoons
3/4 * 8 is 24/4
24/4= 6
So you need 6 teaspoons
8 0
3 years ago
Which expression is equivalent to 3 ( x + 10)
devlian [24]

Answer:

3x + 30

Step-by-step explanation:

3(x+10)\\\\\text{Distribute '3' into 'x + 10'}\\\\\\3(x+10)\rightarrow3x+30\\\\\left \{ {{3*x=3x} \atop {3*10=30}} \right.

3x + 30 would be an equivalent expression.

Hope this helps.

8 0
3 years ago
A ramp is to be built beside the steps to the campus library. Find the angle of elevation of the 23​-foot ​ramp, to the nearest
Usimov [2.4K]

Answer:

the angle of elevation is 12.56°

Step-by-step explanation:

the height of the ramp represents the opposite side and the length of the ramp the hypotenuse

we see that it has (angle, hypotenuse, opposite)

well to start we have to know the relationship between angles, legs and the hypotenuse

a: adjacent

o: opposite

h: hypotenuse

sin α = o/h

cos α= a/h

tan α = o/a

we choose the one with opposite and hypotenuse

sin α = o/h

sin α = 5ft / 23ft

sin α = 5/23

α = sin^-1 ( 5/23)

α = 12.56°

the angle of elevation is 12.56°

3 0
3 years ago
A 6-pack of capri-Suns costs $8.80 .How much would a 24-pack cost if the costs are proportional
andrew11 [14]
Now, in a 6-pack, there are 6 bottles, 6-pack.

in a 24-pack, there are 24 bottles, 24-pack.

so, if 6 bottles, cost 8.80, how much will it be for 24 bottles then?

\bf \begin{array}{ccll}
bottles&price\\
\text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\
6&8.80\\
24&p
\end{array}\implies \cfrac{6}{24}=\cfrac{8.80}{p}\implies p=\cfrac{24\cdot 8.80}{6}
5 0
3 years ago
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