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Irina-Kira [14]
3 years ago
6

What is the solution of the system?

Mathematics
1 answer:
Serjik [45]3 years ago
8 0

Answer:

(-13,-4)

Step-by-step explanation:

4x-8y=-20

9x+113=y

Substitute in y for 9x+113

4x-8y=-20

Substitute

4x-8(9x+113)=-20

Simplify

4x-72x-904=-20

Simplify

-68x-904=-20

Additive Prop. of Equality

-68x-904+904=-20+904

Simplify

-68x=884

Isolate the variable(x)

<u>-68x</u>=<u>884</u>

-68x -68x

Simplify

x=-13

Solve for y

9x+113=y

9(-13)+113=y

-117+113=y

-4=y

Check

4x-8y=-20

4(-13)-8(-4)=-20

-52+32=-20

-20=-20

9x+113=y

9(-13)+113=-4

-117+113=-4

-4=-4

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A store sells a 33-pound bag of oranges for \$ 3.60$3.60 and a 55-pound bag of oranges for \$ 5.25$5.25. What is the difference
katrin [286]

Answer:

0.01364

Step-by-step explanation:

It is given that,

A store sells a 33-pound bag of oranges for $3.60 and a 55-pound bag of oranges for $5.25.

Price per pound of 33 pound bag is 3.60/33 = 0.10909 price per pound

Price per pound of 55 pound bag of oranges is 5.25/55 = 0.09545 price per pound

Difference between price per pound for the 33-pound bag of oranges and the price per pound for the 55-pound bag of oranges is :

D = 0.10909 - 0.09545

D = 0.01364

Therefore, this is the required solution.

3 0
3 years ago
In 10 and 11, find the area in square units of each polygon.
alexandr1967 [171]

Answer:

10: 12 units^2 11: 33 units^2

Step-by-step explanation:

10:

Divide into square and 2 triangles (for simplicity)

square=9

one triangle=3/2

both triangles combined=3

9+3=12

11:

divide into 2 triangles

top triangle: height= 4, base=6

bottom triangle: height= 7, base=6

top=12

bottom=21

Add, 33.

7 0
2 years ago
Read 2 more answers
Does anyone know? Pls help lol
seropon [69]
Side a = 10

Explanation:
8x 8 = 64
6 x 6 = 36
64 + 36 = 100
Square root on both sides = 10
8 0
3 years ago
In the figure above ac bisects bcd. what is the length of cd?
sveticcg [70]

In the the figure above AC bisects BCD in the quadrilateral, the length of CD will be 6cm.

<h3>How to calculate the value?</h3>

It should be noted that the longer diagonal is a perpendicular bisector of the shorter diagonal.

From the diagram given, the value of AD is 6cm. Therefore, according to the angle bisector theorem, the value of CD is 6cm as they're congruent.

Learn more about quadrilateral on:

brainly.com/question/23935806

#SPJ1

7 0
2 years ago
What is the value of k if √10 * k + 3 = 5?
Fittoniya [83]

Answer:

See explanation

Step-by-step explanation:

We want to find the value of k in

\sqrt{10k}  + 3 = 5

We subtract 3 from both sides;

\sqrt{10k}  = 5 - 3

Simplify on the right;

\sqrt{10k}  = 2

Square both sides;

10k = 4

k = 0.4

If your equation in actually

\sqrt{10k + 3}  = 5

Square both sides:

10k + 3 = 25

10k = 22

k = 2.2

7 0
3 years ago
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