MATHEMATICS MIDDLE SCHOOL

Which ordered pair is the solution to the system of equations? A. (1, 7)
B. (4, 9)
C. (7, 19)
D. (8, 21)

Answers

Answer 1
Answer: I could just give you the answer but you should know how so you don't need my help :)

Solve by substitution.

Step 1: Set the first equation to y by isolating the y term.

2x-y=-5
2x+5=y (see how that worked? I flipped the signs of the numbers and moved them)

Step 2: Substitute the new equation for y in the second equation.

x+3y=22 -> x+3(2x+5)=22 (now lets simplify)
7x+15=22 (I distributed and added like terms) (now we can isolate that pesky x term)
7x=7 (now its trickier than just flipping the sign, now i have to divide x by 7 since it is multiplied by 7)
x=1

Step 3; Substitute the new x answer into the original first equation

2x-y=-5 -> 2(1)-y=-5 (Lets isolate now since we already know that 2x1 is 2.)
-y=-7 (lets cancel out those signs to finish the isolation)
y=7

So your answer is 1,7

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Answers

Answer:


Step-by-step explanation:

a 0.4

b 0.03

do it like this

Answer:

A. 4 tenths or 0.4

B. 5 hundredths or 0.05

C. 30 units or 30

D. 4 units or 4

E. 7 tenths or 0.7

F. 6 hundredths or 0.06

G. 4 thousandths or 0.004

H. 9 hundred or 900

I.  1 hundredth or 0.01

J. 9 thousandths or 0.009

K. 5 tenths or 0.5

L. 6000 units or 6000

M. 70 units or 70

N. 1 thousandth or 0.001

O. 3 thousands or 0.003

P. 2 ten thousandths or 0.0002

Q. 4 hundred thousandths 0.00004

Step-by-step explanation:

120 meals to 52 meals. Find the percent of change. Round to the nearest tenth of a percent if necessary.

Answers

If you would like to find the percent of change, you can calculate this using the following steps:

x% of 120 meals is 52 meals
x% * 120 = 52
x/100 * 120 = 52
x = 52 * 100 / 120
x = 43.3%

100% - 43.3% = 56.7%

The percent of change is 56.7%.

jake set up a study schedule the plan called for him to study 1/4 hour 5/8 hour and 1 hour on Monday Tuesday and Wednesday in that order. if he continues with his pattern how long will he study friday

Answers

I think it is 1 7/8 since 1/4 plus 5/8 plus 1 equals 1 7/8

How do you solve this problem?

Answers

Fallow the steps in the picture

How do you write 15/1000in scientific notation​

Answers

Answer: 15 * 10^-3

Step-by-step explanation:

Divide 15/1000

= 0.015

=15 * 10^-3

What radius of a circle is required to inscribe a regular hexagon with an area of 210.44 cm2 and an apothem of 7.794 cm

Answers

we know that

[area of a regular hexagon]=6*[area of one equilateral triangle]
210.44=6*[area of one equilateral triangle]
[area of one equilateral triangle]=210.44/6-----> 35.07 cm²

[area of one equilateral triangle]=b*h/2
h=7.794 cm
b=2*area/h------> b=2*35.07/7.794------>b= 9 cm

the length side of a regular hexagon is 9 cm
applying the Pythagorean theorem
r²=h²+(b/2)²------>r²=7.794²+(4.5)²------> r²=81--------> r=9 cm

this last step was not necessary because the radius is equal to the hexagon side------> (remember the equilateral triangles)

the answer is
the radius is 9 cm
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