Type the correct answer in each box. If necessary, use / for the fraction bar(s).
Find the solution for this system of equations.

12x + 15y = 34
-6x + 5y = 3

Answers

Answer 1

Answer:

x=5/6 and y=8/5

(5/6 , 8/5)

Step-by-step explanation:

You can use the elimination method! The point of this method is to add or subtract one equation from the other, multiplying them by constants if necessary, to cancel out one variable so you can solve for the other. Then, you can plug the value you got for your solution into either equation to solve for the other. I'll demonstrate.

Look at the two equations and the coefficients of both variables. You have 12x and -6x -- 6*2=12, so this is perfect. (You could also eliminate the y because 5*3=15, but I'll show you by eliminating the x instead.)

Here's what that looks like:

(-6x+1y=3)2

-12x+10y=6

So we just multiplied the second equation by 2 on both sides. Let's see how that helps us.

12x+15y=34

-12x+10y=6

If we add the two equations now, x will be canceled out and we can solve for y.

   12x+15y=34

+(-12x+10y=6)

___________

     0x+25y=40

           25y=40

0x=0, so we can get rid of the x. Now, we need to solve for y.

25y=40

y=40/25

You probably know how to simplify fractions, so divide both the numerator and the denominator by 5 to get y=8/5.

Now you can use this value in either equation and solve for x. I'll use the first. (This is called substitution.)

12x+15(8/5)=34

12x+3(8)=34 <-- What I did here is cancel out the 5 in the denominator with 15 to leave 3, because 5*3=15.

12x+24=34

12x=10

x=10/12

x=5/6 (Divide the numerator and denominator by 2.)

You can write your answer as a point, too. (5/6 , 8/5)


Related Questions

plllllzzz helppppppp

Answers

Answer:

5. B

6. A

7. C

Step-by-step explanation:

Answer:

5.) b. 12 - 2x

6.) a. 8x

7.) c. 5d + 3c = 66

Step-by-step explanation:

uhm, I don't really have proof, i've just been doing this for a long time, you're just gonna have to trust me on this one


Given the arithmetic sequence of -21,-6,9,24,... , find an explicit rule for the nth term

Answers

Answer:

n = -21 + 15(n-1)

find the hcf of px4 + px ,qx3 _ qx ​

Answers

Step-by-step explanation:

1st expression

= px^4 + px

= px ( x³ + 1 )

= px ( x + 1) (x² - x + 1)

2nd expression

= qx³ - qx

= qx ( x² - 1 )

= qx ( x + 1) ( x - 1)

HCF = x ( x + 1)

Hope it will help :)❤


Question 5 Multiple Choice Worth 1 points)
(05.02 MC)
Find the measure of angle x in the figure below.
52
59
X
63
O 35
O 48°
0 69
O 789

Answers

Answer:

your answer should be 48 degrees

F(-3)=11 and f(4)=55 find value of f(-1)

Answers

11(4)=55

44=55

f=55÷44

f=1.25(-3)

-3.75

In the diagram, AABC ~ ADEF. Find the value of x.
A
12
B
CO
9
C C
D
36
24
E
27
F
The value of x is
what’s the value of x?

Answers

Answer:

B

Step-by-step explanation:

bdeehvdvjwjkwkwwjehheeh

If you dont know the anwser its always B

What is the probability of selecting an orange candy

Answers

Answer:

how many colors are there and how many of each color?

Step-by-step explanation:

Probability of an event is the measurement of its chance of occurrence.

The probability of selecting an orange candy depends on how many candies are there. If its the only candy, and at least one candy must be chosen, then its probability is 1 or say in percent it is 100%

How to calculate the probability of an event?

Suppose that there are finite elementary events in the sample space of the considered random experiment, and all are equally likely.

Then, suppose we want to find the probability of an event E.

Then, its probability is given as

[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}[/tex]

where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.

How to convert percent to probability?

Percent counts the number compared to 100 whereas probability counts it compare to 1.

So, if we have a%, that means for each 100, there are 'a' parts. If we divide each of them with 100, we get:

For each 1, there are a/100 parts.

Thus, 50% = 50/100 = 0.50 (in probability)

The probability of selecting an orange candy depends on how many candies are there.

If its the only candy, and at least one candy must be chosen, then its probability is 1 or say in percent it is 100% because then n(E) = 1 and n(S) = 1 where

E is event of selecting one orange candy from only 1 candy availablen(E) = count of ways E can be done = 1n(S) = number of ways 1 candy can be selected  from only 1 candy available

Thus, the probability of selecting an orange candy depends on how many candies are there. If its the only candy, and at least one candy must be chosen, then its probability is 1 or say in percent it is 100%

Learn more about probability here:

brainly.com/question/1210781

When you reflect a shape, you (blank) over an axis or line.

Answers

Answer:

poison

Step by Step Explanation

When you reflect a shape, you flip over an axis or line, the answer is flip.

What is geometric transformation?

It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.

As we know the reflection will change the orientation not the shape or size after reflection we will get mirror image of the body.

When you reflect a shape, you flip over an axis or line.

Thus, when you reflect a shape, you flip over an axis or line the answer is flip.

Learn more about the geometric transformation here:

brainly.com/question/16156895

#SPJ2

What is the area of the parallelogram

Answers

96

Step-by-step explanation:

Your formula for parallelograms are: (B•H) which means base times height...

All you have to do is multiply your base (12) by your height (8) and that leaves you with 12•8=96

Hope this helped!

Raymond bought a car for $40,000. He took a 20,000 loan from a bank at an interest rate of 15% per year for a 5 - year period. What is the total amount ( interest and loan) that he would have to pay rhe bank at the end of 5 years

Answers

Answer:

$35,000

Step-by-step explanation:

The amount that would be repaid = amount borrowed + interest earned on loan

interest earned on deposit can be determined by determining the simple interest

Simple interest = principal x time x interest rate

principal = the amount deposited = 20,000

Time = the duration of the deposit =5  

interest rate = the percentage on deposit that would be earned = 15

20,000 x 5 x 0.15 = $15,000

total = 20,000 + 15,000 = $35,000

A triangle has three angles that measure 50 degrees, 28 degrees and 3x. What is the value of x?

Answers

Answer:

57.33

Step-by-step explanation:

50+28+3x=180

78+3x=180-78

3x=172/3

x = 57.33

Solve for x.

PLEASE ANSWER I WILL GIVE BRAINLIEST!!

Answers

Answer:

16 + 5 =21 21 is your answer

Step-by-step explanation:

PLEASE HELP ME I NEED HELP FAST

Answers

Answer: x° = 45°

Steps:

what is 1/12 in simplest form

Answers

It cant be written any way else its already in its simplest form

Help!!! answer quickly pls

Answers

Most likely (3,0)

If it’s reflected across the y axis, then it should be the opposite of (-3,0)

IM GIVING BRAINLIEST!!PLEASE HELP!!

Answers

Answer:

D

Step-by-step explanation:

(x - 3)(x + 4) = x^2 + x - 12

A rectangle prism has a length of 10m, a height of 9m, and a width of 15m. What is its volume, in cubic meters

Answers

Answer:

1350 m³

Step-by-step explanation:

To find the volume of a rectangular prism, we have to multiply its length, width, and height together.

The dimensions of this prism are 9, 10, and 15.

9 · 10 · 15 = 1350

The volume is 1350 meters³.

I hope this helps ^^

Find the value of x in the picture below. (round to nearest tenth if needed) THANK YOU FOR HELPING ME:)

Answers

Answer:

x ≈ 9.6

Step-by-step explanation:

Using Pythagoras' identity in the right triangle, that is

x² + 14² = 17²

x² + 196 = 289 ( subtract 196 from both sides )

x² = 93 ( take the square root of both sides )

x = [tex]\sqrt{93}[/tex] ≈ 9.6 (to the nearest tenth )

help pleaseee, no links!

Answers

A right triangle follows the Pythagorean theorem: a^2 + b^2 = c^2

Let’s work out the problems
1. 20^2 + 72^2 = 75^2
40 + 5184 = 5625
False

2. 40^2 + 74^2 = 85^2
1600 + 5476 = 7225
False

3. 45^2 + 60^2 = 75^2
2025 + 3600 = 5625
True

The correct answer is (45, 60, 75)

1. What is the domain of
f (x)= 9 - x?

Answers

Answer:

theres no answer

Step-by-step explanation:

How many different ways can you have 55¢ in change using only quarters, dimes and nickels?

A. 1
B. 5
C. 11
D. 15

Answers

Answer: 11 times

Step-by-step explanation:

Have a wonderful day!

C 11 times. Hope this helps

HELP I HAVE TO SUBMIT IN 15 MINS AND I HAVE NO IDEA HOW TO DO IT :(

Answers

Answer:

I'm so sorry! I tried to make a graph online. I can try to show my work, but I don't know how long that will take. Everyone in my house is sleeping, so I'm trying not to wake anyone up. Sorry for the inconvenience, but comment if you need anything. I'll try to comment the Domain and Range for both equations, hold on.   >w<

Just to let you know: for the "Inverse.pdf" or "attachment2" the equation should be [tex]f^-^1= \frac{ln (x)}{ln (5)}[/tex]

Shania is making lasagna. The recipe she uses calls for 2 1/3 cups of spaghetti sauce. If she doubles the recipe, how much spaghetti sauce will she need?

Answers

Answer:

4 2/3 cups

Step-by-step explanation:

. A rectangle's length is 1 feet shorter than 3 times its width. If we use w to
represent the rectangle's width, use a polynomial to represent the
rectangle's area in expanded form.
area =
square feet

Answers

Answer:

Step-by-step explanation:

w is the width of the rectangle, then the length would be 3w - 1.

A = lw

A = w(3w - 1)

A = 3w² - w

Please help me finish this i will give brainlest :) to the first person.

Answers

Answer: 8

Step-by-step explanation:

64 ÷[4* 27 (-5^2

-5 times -5 =25

27-25=2

4*2=8

64 divided by 8= 8

8 is your answer

Here is a solid prism.
(c) (i) Write down the mathematical name of this prism.
(ii)How many vertices does the prism have?

Answers

Answer:

It is called a rectangular prism

It has 8 vertices

Find the value of the variables in the image above

Answers

Answer:

x = 8[tex]\sqrt{3}[/tex] , y = 8

Step-by-step explanation:

Using the sine and cosine ratios in the right triangle and the exact values

sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] , cos60° = [tex]\frac{1}{2}[/tex]

sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{x}{16}[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

2x = 16[tex]\sqrt{3}[/tex] ( divide both sides by 2 )

x = 8[tex]\sqrt{3}[/tex]

----------------------------------------------------------

cos60° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{y}{16}[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2y = 16 ( divide both sides by 2 )

y = 8

CAN SOMEONE HELP ME PLEASE

Answers

It seems like it is a 1:3 ratio.
y = 12
3(2x + 1) = 4x + 9
6x + 3 = 4x + 9
6x = 4x + 6
2x = 6
x = 3
Since they are similar the proportions of the figure would be equal
3/9 = 2x + 1/ 4x + 9
4x + 9 = 3(2x + 1)
4x + 9 = 6x + 3
2x = 6, x = 3
3/9 = 4/y
y = 12
Solution: x = 3, y = 12

A line segment drawn between points B and C on a circle forms its diameter. Point A is taken arbitrarily on the circumference of the circle, and line segments are drawn from A to B and A to C. Classify ∠BAC.(1 point)

acute angle
obtuse angle
straight angle
right angle

Answers

Answer:

Option D

A right angle

Step-by-step explanation:

in circle geometry, we have several theorems that govern angles formed by chords drawn in circles.

One of the theorems states that the angle subtended on the circumference of a circle by a chord which is drawn across the center of the circle (which is the diameter) equals 90 degrees. This means that it is a right-angle.

Analytically, we can also sketch out the problem and see that we can divide the shape formed by points BAC into an isosceles triangle. (The two radii forming the sides while the diameter forms the base).  We can also run a bisector of the isosceles triangle through point A to meet the diameter. We can see that it forms two 45 by 45 degree right-angled triangles. Thus proving that angle BAC is indeed a right angle.

What is 3/4 of 32
What is 3/8 of 64
What is 3/8 of 32
Answer for 10 points and Brainliest.

Answers

This is the answer hope you get it :)
24
24
12

Hope it helps
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