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3 years ago

Solve each equation. Check your solution. 7a+10=2a

Mathematics

1 answer:

Debora [2.8K]3 years ago

5 0

Answer:

a = -2

Step-by-step explanation:

7a + 10 = 2a

subtract 7a from each side

7a-7a+10 = 2a-7a

10 = -5a

divide by -5

10/-5 = -5a/-5

-2 = a

check

7 (-2) +10 = 2(-2)

-14 + 10 = -4

-4 = -4

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BEST ANSWER GETS BRANLIEST AND 100 POINTS<br><br><br> Simplify (√3+√48)(√2−√5).

Nadya [2.5K]

Answer:

$5\sqrt{6}-5\sqrt{15}$

Step-by-step explanation:

$(\sqrt{3} )(\sqrt{2} )+(\sqrt{48} )(\sqrt{2} )-(\sqrt{3} )(\sqrt{5} )-(\sqrt{48} )(\sqrt{5} )$

$\sqrt{6}+\sqrt{2*3*2*2*2*2} -\sqrt{15}-\sqrt{2*3*2*2*2*5}$

$\sqrt{6}+4\sqrt{3*2} -\sqrt{15} -4\sqrt{3*5}$

$\sqrt{6}+4\sqrt{6} -\sqrt{15} -4\sqrt{15}$

$5\sqrt{6} -5\sqrt{15}$

7 0

3 years ago

Read 2 more answers

Find the height of a soup can if the area of the label is 302 square centimeters and the radius of the can is 4 centimeters. Rou

amid [387]

To answer this, we assume that the can is in cylindrical shape. The of its label would correspond to an area of a rectangle where the length would be the circumference of the base of the can. We calculate as follows:

C = 2πr = 2π(4) = 8π = L

A = LH = 8π(H) = 302
H = 12 cm

Hope this answers the question. Have a nice day.

8 0

3 years ago

List the perfect squares that are between 25 and 100.

Aleks04 [339]

Perfect squares are rational numbers multiplied by themselves. Here are the perfect squares between 25 and 100:

5*5=25

6*6=36

7*7=49

8*8=64

9*9=81

10*10=100

Hope this helps :)

7 0

3 years ago

Read 2 more answers

A machine at a bottling company fills water bottles. the number of bottles filled is proportional to the amount of time the mach

Whitepunk [10]

In the table shown below:

Let N be the number of bottles filled,

Let T be the time in hours.

Given that the number of bottles filled is proportional to the amount of time the machine runs, we have

$\begin{gathered} N\propto T \\ \text{Introducing a proportionality constant, we have } \\ N\text{ = kT} \\ \Rightarrow k\text{ = }\frac{N}{T} \\ \end{gathered}$

Let's evaluate the value of k for each day.

Thus, on monday,

$\begin{gathered} N\text{ = 9900} \\ T\text{ = 5.5} \\ \text{thus,} \\ k\text{ = }\frac{9900}{5.5} \\ \Rightarrow k\text{ = 1800} \end{gathered}$

Tuesday:

$\begin{gathered} N\text{ = }11160 \\ T\text{ = }6.2 \\ \text{thus,} \\ k\text{ = }\frac{11160}{6.2} \\ \Rightarrow k\text{ = 1800} \end{gathered}$

Wednesday:

$\begin{gathered} N\text{ = }12330 \\ T\text{ = }6.25 \\ \text{thus,} \\ k\text{ = }\frac{12330}{6.25} \\ \Rightarrow k\text{ = 1972.8} \end{gathered}$

Thursday:

$\begin{gathered} N\text{ = }10440 \\ T\text{ = }5.80 \\ \text{thus,} \\ k\text{ = }\frac{10440}{5.8} \\ \Rightarrow k=1800 \end{gathered}$

It is observed that all exept wednesday have the same value of k.

Thus, the amount of time required for the number of bottles filled on wednesday is evaluated as

$\begin{gathered} N\text{ = }12330 \\ k\text{ = 1800} \\ T\text{ = ?} \\ \text{but} \\ k\text{ = }\frac{N}{T} \\ 1800\text{ = }\frac{12330}{T} \\ \Rightarrow T\text{ = }\frac{\text{12330}}{1800} \\ T\text{ = 6.85} \end{gathered}$

Hence, the incorrect day is Wednesday. The amount of time for that many bottles should be 6.85 hours.

3 0

1 year ago

reya plays the guitar for 3 hours each lesson. She has 4 lessons each week. How many hours does Reya play thr guitar aftee 5 wee

Alborosie

3x4=12
12x5=60
Reya played the guitar for 60 hr.
-Jello-

8 0

3 years ago