Mathematics High School

solve this system of equations using substitution, show your work (ANSWER QUICK PLEASE)

Answers

Answer 1

Answer:

[tex]\boxed{\sf{y=-5 \quad x=-18}}[/tex]

Step-by-step explanation:

The terms x and y must be substituted to isolate one side of the equation.

y=5/6x+10 and -x+6y=-12

First, you have to substitute by the y=5/6x+10.

[tex]\sf{-x+6\left(\dfrac{5}{6}x+10\right)=-12}[/tex]

Solve.

[tex]\sf{4x+60=-12}[/tex]

Subtract by 60 from both sides.

4x+60-60=-12-60

Solve.

4x=-72

Divide by 4 from both sides.

4x/4=-72/4

Solve.

Divide the numbers from left to right.

-72/4=-18

x=-18

Substitute: x=-18

[tex]\sf{y=\dfrac{5}{6}\left(-18\right)+10}[/tex]

Solve.

y=5/6(-18)+10=-5

y=-5

Therefore, the solution is y=-5 and x=-18, which is our answer.

I hope this helps you! Let me know if my answer is wrong or not.

Related Questions

help me please i so need help

Answers

Answer:

It is 9 because 9 is the only number that multiplied by itself is 81.

9, these are all referring to the square root of a number that is a perfect square. 2 x 2 = 4, 3 x 3 = 9, 4 x 4 = 16, 9 x 9 = 81.

A notebook company makes notebooks with covers in 2 different colors. A school district ordered 301 notebooks in each color. How many notebooks in total did the school district order?

Answers

Answer is 602 because we just take 301 times 2 because there is only two types of book in company and 301 book are ordered in each type so we just take 2 times 301

Ann sells beaded necklaces. Each large necklace sells for $5.40 and each small necklace sells for $4.30. How much will she earn from selling 3 large necklaces and 1 small necklace?

Answers

Answer

20.5

Step-by-step explanation:

You multiply 5.4 and 3 to get 16.2. Then you add 16.2 and 4.3 to get 20.5.

Question 4: there are 7 frosted donuts and 43 not frosted. what is the
ratio of frosted to total donuts?
a) 7 to 43
b) 50 to 7
c) 43 to 7
d) 7 to 50

Answers

Answer:

answer is a

Step-by-step explanation:

ur welcome

Taylor's family took a road trip to Mount Rushmore. Taylor slept through the last 21% of the trip. If Taylor fell asleep after they had travelled 711 miles, what was the total length of the trip?

Answers

100-21= 79
711=79%
711/1=79/100
711/79=9
9x100=900

the trip was 900 miles all together. you can check if your answer is right by multiplying 900 by 0.79. If it comes out to 711, you are right.

Find attached the solution

Which of the following notes is G?

Answers

G in bass clef is the answer D!

The graph of the function f(x) = −3x2 − 3x + 6 is shown. Which statements describe the graph? Select three options.

On a coordinate plane, a parabola opens down. It goes through (negative 2, 0), has a vertex at (negative 0.5, 6.75), and goes through (1, 0).
The vertex is the maximum value.
The axis of symmetry is x = negative one-half.
The domain is all real numbers.
The range is all real numbers.
The function is decreasing from (−∞, 6.75).

Answers

The domain is all real numbers.

On the coordinate plane, the parabola opens down, passes through (-2,0), has a vertex at (0.5,6.75) and goes through (1,0)

The vertex is its maximum value.

Choose the student with the correct answer. Pls Help ;-;

Answers

Answer:

Frida

Step-by-step explanation:

y = 1000(2)^x

Mrs. Smith is saying that the number of termites will double each week, and Mr. Smith is saying that the number of termites will increase by 100% each week.

Let's just look at (2)^x. If we substitute numbers for x, we get:

x = 1 ⇒ 2x = 2 ⇒ 4 x = 3 ⇒ 8 x = 4 ⇒ 16x = 5 ⇒ 32x = 6 ⇒ 64x = 7 ⇒ 128

We can see that the output number doubles by 2, or in other words, increases by 100% of its value.

Therefore, Frida is correct in thinking that both Mr. and Mrs. Smith's interpretations are correct.

You are traveling underwater in a submarine. The sonar system detects an iceberg 4000 meters ahead, with an angle of depression of 34 degrees to the bottom of the iceberg. How many meters (to the nearest tenth) does the iceberg extend below the surface?

Answers

Answer: x = 4ooo sin 340 x = 223627 ft.

Step-by-step explanation: The angle between the waterline and the submarine is 34°. How deep is the submarine?

I’ll give brainiest to the best solved An ice cream store sells two different sizes of ice cream cones. The first cone is 4 inches tall and has a 1-inch radius. The second cone is 6 inches tall and has a 1.5-inch radius. What is the ratio of the volume of the smaller cone to the volume of the larger cone?

A.
4 : 9

B.
8 : 27

C.
9 : 4

D.
27 : 8

Answers

The volume of the larger cone is about 18.8 cubic inches greater than the volume of the small cone

The volume of a cone is calculated as:

For the small cone, we have the following parameters:

Diameter = 3 inches

Height = 3.5 inches

Diameter = 4.5 inches

Height = 5.1 inches

So, the volume of the large cone is:

Calculate the difference of both volumes

Hence, the volume of the larger cone is about 18.8 cubic inches greater than the volume of the small cone

Answers

Scalene triangle: if none of the three sides of a triangle are equal to each other, it is called a scalene triangle.

Equilateral triangle: An equilateral triangle is a triangle in which all three sides have the same length.

Isosceles triangle: An isosceles triangle is a triangle that has two sides of equal length.

Acute Triangle: An acute triangle is a triangle with three acute angles.

Right Triangle: A triangle in which one of the interior angles is 90° is called a right triangle.

Obtuse Triangle: An obtuse triangle is a triangle with one obtuse angle and two acute angles.

helpppp :) 50 points
An equation is shown below:

4(2x – 5) = 4

Part A: How many solutions does this equation have? (4 points)

Part B: What are the solutions to this equation? Show your work. (6 points)

Answers

Answer:

x = 3

Step-by-step explanation:

A only 1 solution

4(2x - 5) = 4 ( divide both sides by 4 )

2x - 5 = 1 ( add 5 to both sides )

2x = 6 ( divide both sides by 2 )

x = 3

Answer:

[tex]\boxed{\sf{x=3}}[/tex]

Step-by-step explanation:

Isolate it by the term of x from one side of the equation.

Part A. There will be one solution.Part B.

4(2x-5)=4

First, divide by 4 from both sides.

[tex]\sf{\dfrac{4\left(2x-5\right)}{4}=\dfrac{4}{4}}[/tex]

Then, solve.

4/4=1

Rewrite the problem down.

2x-5=1

Add by 5 from both sides.

[tex]\sf{2x-5+5=1+5}[/tex]

Solve.

1+5=6

2x=6

Divide by 2 from both sides.

2x/2=6/2

Solve.

Divide the numbers from left to right.

6/2=3

x=3

Therefore, the correct answer is x=3.

I hope this helps you! Let me know if my answer is wrong or not.

Distance time and speed

Answers

It traveled 80 meters during the entire trip.
It took 8 seconds
Speed = distance / time
80 / 8 = 10

22) 80 meters
23) 8 seconds
24) 10 m/s

marks obtained by the students are 12,16,14,13,19 and x . If their average marks is 15. find the value of x.
step by step
process by process
needed answer
making them as a brainlists

Answers

Answer:

x = 16

Step-by-step explanation:

Given:

Number of students = 6Average mark = 15

Therefore, total marks = 15 × 6 = 90

To find the value of x, add up the individual marks:

12 + 16 + 14 + 13 + 19 + x = 74 + x

Now equate this to the total number of marks found previously:

74 + x = 90

Solve for x:

⇒ 74 + x - 74 = 90 - 74

⇒ x = 16

Therefore, the value of x is 16.

Examine this right triangle. A right triangle has a side length of 16 meters and hypotenuse of 20 meters. Which equation can be used to find the missing leg in the triangle? a2 202 = 162 202 162 = a2 a2 162 =202 16 a2 = 20.

Answers

The equation can be used to find the missing leg in the triangle [tex]20^{2} = 16^{2} +a^{2}[/tex].

What is the right triangle?

A right-angle triangle is a triangle that has a side opposite to the right angle the largest side and is referred to as the hypotenuse.

It is given that a right triangle has a side length of 16 meters and a hypotenuse of 20 meters.

From a Pythagoras theorem

[tex]b^{2} = c^{2} +a^{2} \\20^{2} = 16^{2} +a^{2}\\20^{2}-16^{2} =a^{2}\\a^{2} = 20^{2}-16^{2} \\[/tex]

Thus, the equation can be used to find the missing leg in the triangle [tex]20^{2}-16^{2} =a^{2}[/tex].

Learn more about the right-angle triangle;

https://brainly.com/question/5474676

Answer:

Its C
a2 + 162 =202

Step-by-step explanation:

Evaluate the expression 10 + (8 - 4)2 ÷ 2.

Answers

Answer:

10 + (8 - 4)2÷2

10 + (4)2 ÷2

10 + 8 ÷ 2

10 + 4

= 14

7x+ 8=29 how to solve it

Answers

Answer:

the correct answer is x = 3

Step-by-step explanation:

you solve this by moving all the terms that dont contain x to the right side and solve the equation.

hope this helps

have an awesome day -TJ

pls mark brainliest if this helps you :)

Last month, luke spent $1,300 on his mortgage (home loan payment), $320 for food, $280 on entertainment, $275 for his car payment, $60 on car insurance, and $75 on clothing. what was the difference for the month between his fixed expenses and variable expenses? brainly

Answers

Variable expenses: food, entertainment, and clothing

Fixed Expenses: mortgage, car payment, car insurance
1635 - 675 = 960.

What is the perimeter of the polygon shown below?

A. 24 m
B. 45 m
C. 51 m
D. 57 m

Answers

Answer:

c no

jskdha

shdjszdj

see

Write the equation of a line in slope-intercept form that is parallel to y = 2x and goes through the point (1, 9).

this is geometry

Answers

Give me more details
So I can help you

Answer:

the answer is y = 2x + 7

Step-by-step explanation:

for it to be parallel has to have the slope

PLS HELP ME I WILL MARK THE BRAINLIEST

Answers

Answer:

a. 314.2 in²

b. 36 m²

c. 60 m²

Step-by-step explanation:

The areas of these plane figures can be found by substituting the given dimensions into the area formula.

The area of a circle can be found from its diameter to be ...

A = (π/4)d²

A = (π/4)(20 in)² = 100π in² ≈ 314.2 in²

The area of a parallelogram can be found as ...

A = bh

A = (9 m)(4 m) = 36 m²

The area of a triangle can be found from ...

A = 1/2bh

A = 1/2(15 m)(8 m) = 60 m²

_____

Additional comment

A triangle with sides 17 and 15 and height 8 cannot be obtuse. It is a right triangle. (Those side lengths are a Pythagorean triple.)

if a pyramid 20yd,18yd,18yd what is the surface area

Answers

15YD

Step-by-step explanation:

Find the diameter when the circumference is 47.1 in

Answers

C = pi x d

3,14 x d = 47,1

d = 15

Find the circumference and the area of a circle with radius 4 ft

Answers

Answer:

C≈25.13ft

Step-by-step explanation:

C=2πr=2·π·4≈25.13274ft

A bakery made 100 donuts. In the display case, 40/100 were chocolate,

3/10 were glazed, and the rest were cinnamon. Which fraction of the donuts were cinnamon?

A.30/100

B.43/100

C.57/100

D.70/100

Answers

Answer:

Step-by-step explanation:

57 of them were cinnamon.

Explanation:

100-40 = 60 and 3 of those were glazed so that leaves us with 57

C because there’s 57 cinnamon and there’s 57 out of that 100 so 57/100

1) The sum of the digits in a 2 digit number is 7. Reversing the digits increases the number by 9. What is the number?

Answers

Answer:

Step-by-step explanation:

Sum of two numbers = 7

1+6

2+5

3+4

34+9=43

Can someone help me please

Answers

Both lines would be the same length.

4x-6 = 50

Add 6 to both sides:

4x = 56

Divide both sides by 4:

x = 14

help me plssss ‼️‼️‼️

Answers

teddy bears = 80

hope it helps..!!!

can you please help me?

Answers

Answer:

102 dollars

Step-by-step explanation:

Help on this pleasee

Answers

Answer: 40 degrees

Step-by-step explanation:

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