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DochEvi [55]
3 years ago
14

Solve p=10a+3b for a

Mathematics
1 answer:
Gre4nikov [31]3 years ago
5 0

Answer:

a = (p - 3b)/10

Step-by-step explanation:

Isolate the variable, a. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS (Parenthesis, Exponents (& roots), Multiplication, Division, Addition, Subtraction).

p = 10a + 3b

First, subtract 3b from both sides.

p (-3b) = 10a + 3b (-3b)

p - 3b = 10a

Next, isolate the a. Divide 10 from both sides.

(p - 3b)/10 = (10a)/10

(p - 3b)/10 = a

a = (p - 3b)/10 is your answer.

~

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Solve the system of equations by elimination.<br> 2x - y + 3z=-1<br> x + 2y - 4z=-1<br> y – 2z=0
MrRa [10]

Answer:

x = -1, y = 2 and z = 1

Step-by-step explanation:

The given system of equations are :

2x - y + 3z= -1  ....(1)

x + 2y - 4z = -1  ......(2)

y – 2z = 0  .....(3)

Equation (3) can be written as :

y = 2z

Use y = 2z in equation (2)

x + 2(2z) - 4z = -1

x + 4z - 4z = -1

x = -1

Put the value of x in equation (1) :

-2 -y +3z = -1

-y+3z = 1 ....(4)

Adding equation (3) and (4)

y-2z+(-y+3z)=1

z = 1

Now put z = 1 in equation (4)

-y+3=1

-y = -2

y = 2

Hence, the values of x,y and z are -1, 2 and 1 respectively.

6 0
3 years ago
Which number supports the given conjecture?
choli [55]
A. 16 is divisible by 2 but not divisible by 3
B. 23 is not divisible neither by 2 nor 3
C. 27 is not divisible by 2, however it's divisible by 3
D. 36 is divisible both by 2 and 3

So the only number we can focus on is 36:

36 ÷ 2 = 18
36 ÷ 3 = 12
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Answer: D, 36 supports the given conjecture.
3 0
3 years ago
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3) Emma is great at the standing long jump. Her best jump is 10 feet 8 inches. How many
givi [52]

Answer:

128 inches

Step-by-step explanation:

4 0
3 years ago
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Which similarity statement is true for the triangles shown?<br><br> - ABC = DEF<br> - ABC = FED
kodGreya [7K]

Answer:

I’m pretty sure it’s Triangle ABC is congruent to Triangle DEF.

Step-by-step explanation:

If you rotate Triangle DEF to where the 90 degree angle is on the bottom right, you can the compare the two triangles. You can divide 300/25, 240/20, and 180/15. They all result in 12 meaning they are congruent and similar in that way. (I’m only 90% this is right btw)

3 0
3 years ago
The number of employees for a certain company has been decreasing each year by 3%. If the company currently has 810 employees an
8090 [49]

Answer:

219 employees

Step-by-step explanation:

3% of decreasing rate of employees per year is calculated thus:

3\% \: of \: 810 \: employees

=  \frac{3}{100}  \times 810

= 24.3 \: employees \: per \: year

In 9 years,

= 24.3 \times 9

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Therefore, the number of employees for a certain company where decreasing rate of employees is 3% and continued to decrease for 9 years; and 810 employees are currently working is 219 employees. By implication, 810 + 219 = 1029 employees were working in the company 9 years ago.

6 0
2 years ago
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