Use substitution to it
7) 4x – 2y=-22
-x+y=3​

Answers

Answer 1
Rearrange -x+y = 3 to y = x+3
Then substitute into the first equation.
4x - 2(x+3)= -22
4x - 2x - 6 = -22
2x -6 = -22
2x = -16
x = -8
Then I put this into y = x+3
y = -8 + 3
y = -5

Related Questions

Select the correct answer. Zara is six months into her first job, and she’s also attending community college. She is planning to start saving a portion of her paycheck and has created a monthly budget to track her spending. Which budget item should Zara reduce to increase her savings? A. college tuition B. dining out C. rent D. utility bills

Answers

Answer:

B.Dining out

Step-by-step explanation:

A, C, and D are very important and without those she would be in big trouble. She does not need to dine out. Instead of dining out she can go to a normal grocery store and buy cheap food there.

Answer:

It would be DINNING OUT.

Step-by-step explanation:

Because it is something you can stop paying for and save money on. It is a variable expense.

What is the product of 4.6 and 3 written in word form?

Answers

Answer: Thirteen and Eight tenth

Step-by-step explanation:

Product means multiplication

From the question, 4.6 x 3 = 13.8

Cullen is 10 years younger than Ada. The product of their ages 2 years ago was 39.

Answers

Answer:

15

Step-by-step explanation:

The age cullen is 5 yrs and Ada is 15 years old.

What is Algebra?

Algebra is the part of mathematics that helps represent problems or situations in the form of mathematical expressions.

Given:

Cullen is 10 years younger than Ada.

The product of their ages 2 years ago was 39.

let the age of ada be x

Cullen's age = x- 10

22 years ago there age will be

Ada = x-22

Cullen = x-32

Now, the product of their age is 39

(x-2)(x-12)=39

x²-12x-2x + 24=39

x² -14x + 24=39

x² - 14x -15 = 0

x² -15x + x- 15=0

x(x-15) + 1(x-15)=0

(x-15)(x-1)=0

x= 15 or -1.

Hence, the age of Ada is 15 yrs and cullen age is 5.

Learn more about algebra here:

https://brainly.com/question/13715639

#SPJ2

The radius of a fishing line is 2.5*10^-4 foot. Write this number in standard form. Then write your answer using inches.

Answers

Final answer:

To write the radius of the fishing line in standard form, it is 0.00025 foot. In inches, the length is 0.003 inches.

Explanation:

The radius of the fishing line is given as 2.5*10^-4 foot. To write this number in standard form, we first need to convert it into decimal form.

To do this, we move the decimal point four places to the left, since the exponent is negative. This gives us 0.00025.

Therefore, the number in standard form is 0.00025 foot.

To convert this into inches, we know that there are 12 inches in a foot. So, we multiply the length in feet by 12 to get the length in inches.

Therefore, the length of the fishing line in inches is 0.00025 foot * 12 inches/foot = 0.003 inches.

express 0.29 as a fraction

Answers

Answer:

29/100

Step-by-step explanation:

Answer: 29/100

Step-by-step explanation:

The 2 is in the Tenth place

The 9 is in the Hundredths place

so get 29/100

Example: .5 as a fraction

Answer: 5/10

Convert 2.19 liters to milliliters.

Enter your answer in the box.

2.19 L =
mL

Answers

2.19 liters = 2190 milliliters

Answer:

2.19 liters = 2190 milliliters

Step-by-step explanation:


What is the coefficient of x in the expression?

6x + 9y + 15z
A) 3
B) 6
C) 9
D) 15

Answers

Answer:

The coefficient is the number before x. So it is 6.

Answer:

Step-by-step explanation:

the answer is B) 6

Solid A is similar to solid B. Solid B has a volume of 23000 cubic meters. By what scale factor can you multiply every side of solid A to get solid B if the volume of solid a is 23 cubic meters

Answers

This answer for this problem is 1,000

Answer:

1,000

Step-by-step explanation:

23,000 divided by 23 is 1,000

10. An archery arrow is shot with a speed of 45 m/s at an angle of 10°. How for

horizontally can the arrow travel before hitting a target at the same height

from which it was released?

Answers

Answer:

The horizontal distance travelled by an arrow is  70.6  m.

Step-by-step explanation:

Given : An archery arrow is shot with a speed of 45 m/s at an angle of 10°.

To find : How for  horizontally can the arrow travel before hitting a target at the same height  from which it was released?

Solution :

The expression for the range of the projectile motion is

[tex]R=\frac{V^2\sin 2\theta}{g}[/tex]

Where, the velocity of an arrow is V = 45 m / s

The angle of release of an arrow is  [tex]\theta=10^\circ[/tex]

The acceleration due to gravity is g =9.81  m/s²

Substitute the values,

[tex]R=\frac{45^2\sin 2(10)}{9.81}[/tex]

[tex]R=\frac{2025\sin (20)}{9.81}[/tex]

[tex]R=70.6\ m[/tex]

Therefore, the horizontal distance travelled by an arrow is  70.6  m.

The arrow travels approximately 70.9 meters.

To determine how far the arrow travels horizontally, we need to break the initial velocity into horizontal and vertical components and use the projectile motion equations.

Step-by-step solution:

Determine the horizontal and vertical components of the initial velocity:
Initial speed, v0 = 45 m/s
Angle, θ = 10°
Horizontal component, v0x = v0 cos(θ) = 45 cos(10°) ≈ 44.3 m/s
Vertical component, v0y = v0 sin(θ) = 45 sin(10°) ≈ 7.8 m/sFind the time it takes for the arrow to reach the same height it was shot from. Use the vertical motion equation:
y = v0y t - 0.5 g t2
Since y = 0 (returning to the same height):
0 = 7.8t - 0.5(9.8)t2
Solve for t:
t(7.8 - 4.9t) = 0
t ≈ 1.6 s (ignoring t = 0)Determine the horizontal distance the arrow travels using the horizontal motion equation:
x = v0x t
x = 44.3 m/s * 1.6 s ≈ 70.9 meters

The arrow travels approximately 70.9 meters horizontally before hitting a target at the same height from which it was released.

9.86 divided by 0.85

Answers

Answer:

9.86 / 0.85 = 11.6

Step-by-step explanation:

I NEED HELP ASAP PICK ALL

Answers

Answer:

Where is the question

Step-by-step explanation:

Which of the following is best described as the quality a design has if it
maintains all of its characteristics when it is reflected over an axis lying in its
plane?

Answers

Answer:

Reflectional Symmetry

Find the volume of the cylinder.
Either enter an exact answer in terms of it or use 3.14 for T.
with a height of 5 and a radius of 2

Answers

Answer:

V=62.8

Step-by-step explanation:

3.14(2)^2(5)

3.14(4)(5)

12.56(5)

62.8

I'm really confused about this question about Solving Systems by Elimination

x-y=8
x+y=12

Answers

Answer:

x=10

y=2

Step-by-step explanation:

1)add the equations and find what x is.

x-y=8

+x+y=12

—————

2x=20

— —

2 2

x=10

3)fill in x for the second equation.

x+y=12

since x=10,replace x with 10.

10+y=12.

subtract 19 from both sides.

10+y=12

-10 -10

—————-

y=2

How should the decimal point in 52.48 be moved to determine the product 52.48×10 to the power of 5?

Enter your answers in the boxes to correctly complete this statement.

The decimal point should be moved ___ places to the right because there are ___ zeros in 10 to the power of 5.

Answers

Decimal point moved 5 places to the right, since 10⁵ has 5 zeros in it.

Step-by-step explanation:

52.48 is multiplied by 10 to the power of 5, that is 100, 000, we will get ,

[tex]52.48 \times 10^{5}=5248000.00[/tex]

When 52.48 is multiplied by 100,000, we will get 5248 followed by 5 zeros, 524800000.

Now we have to count the decimal point from left to right, so we will get 5248000.00, zeros after the decimal point has no value.

The decimal point should be moved _5__ places to the right because there are _5__ zeros in 10 to the power of 5.

a picture frame holds a 4-in. by 6-in. photograph. the frame adds a border x inches wide around the three sides of the photo. on the fourth side the frame forms a border that is 3x - 0.5 in. wide. the combined area of the photograph and the frame is 80.5 in^2. write a quadratic equation for the combined area. Then use the quadratic equation formula to find x

Answers

Answer:

1. The quadratic equation is 3x² +17.5x - 58.5 = 0

2. The values of x are 2.38 and -8.21, but we only take 2.38 for our problem.

3. The dimensions of the combined area are approximately 6.38 inches and 12.64 inches.

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Photograph dimensions = 4 inches * 6 inches

Frame dimensions = x inches * 3x - 0.5 inches

Area of the combined area of the photograph and the frame = 80.5 inches²

2. Write a quadratic equation for the combined area. Then use the quadratic equation formula to find x.

One side of the combined area of the photograph and the frame = 4 + x inches

Second side of the combined area of the photograph and the frame = 6 + 3x - 0.5 inches

Now, we can write the quadratic equation this way:

Combined area of the photograph and the frame = One side * Second side, replacing with the values we know:

80.5 = (4 + x) * (6 + 3x - 0.5)

80.5 =  (4 + x) * (5.5 + 3x)

80.5 = 22 + 5.5x + 12x + 3x²

3x² +17.5x - 58.5 = 0

Using the quadratic formula, where, a = 3, b = 17.5 and c = - 58.5, we have:

x = (-b +/- √b² - 4ac)/2a

x = (-17.5 +/- √17.5² - 4 * 3 * -58.5) 2 * 3

x = (-17.5 +/- √306.25 + 702)/6

x = (-17.5 +/- √1,008.25)/6

x = (-17.5 +/- 31.75)/6

x₁ = 14.25/6 = 2.38

x₂ = -49.25/6 = -8.21

We took the value of x₁ because x₂ is negative and we can't have a negative value for the length or the width, therefore:

80.5 = (4 + x) * (5.5 + 3x)

Replacing x, we have:

80.5 = (4 + 2.38) * (5.5 + 3 * 2.38)

80.5 = 6.38 * 12.64

80.5 ≅ 6.38 * 12.64

the cube and rectangular prism have the same base area and height. how can you use this information to determine the volume of the pyramid?

Answers

The given pyramid's volume is 40 cubic units.

Step-by-step explanation:

Step 1:

It is given that base areas of the pyramid and the prism are the same. The height is also equal.

The rectangular prism's height is 15 units so as per the given question, the height of the pyramid is also 15 units.

Step 2:

The volume of this pyramid is obtained by multiplying [tex]\frac{1}{3}[/tex] with the product of the pyramid's length, width, and height.

For the given pyramid, length = 2 units, width = 4 units and the height = 15 units.

The pyramid's volume [tex]= \frac{1}{3} (length)(width)(height)[/tex] = [tex]\frac{1}{3} (2)(4)(15) = \frac{1}{3} (120)[/tex] = 40 cubic units.

So the volume of the given pyramid is 40 cubic units.

6 - (3t+4) = t solve the equation

Answers

Answer:

t = 1/2

Step-by-step explanation:

6 - (3t+4) = t

Distribute the minus sign

6 - 3t -4 = t

Combine like terms

2 -3t = t

Add 3t to each side

2 -3t +3t = t+3t

2 = 4t

Divide each side by 4

2/4 =4t/4

1/2 =t

Answer:

6-(3t+4)=t

6-3t-4=t

6-4=t+3t

2=4t

t=2/4

GETS BRAINILIST!!!What statistical question might Mary have asked her classmates to gather the data in the bar​ graph? 6. A new student is wearing mismatched socks. How might you show that the student has 1 red sock and 1 purple sock on the bar​ graph? Explain your reasoning. LOADING... Click the icon to view the bar graph. 5. Choose the correct answer below. A. How many students are there in the​ classroom? B. Which color comes first in the​ rainbow? C. What color socks is the teacher​ wearing? D. What color socks are you​ wearing?

Answers

D would be the answer.

Answer:

A.

Step-by-step explanation:

All of the other questions don't make sense because they are statistical

Nine out of twelve members of a jury are over 35 years old. What percent of the jury is not over 35?

Answers

Answer:

75% are so 15%

Step-by-step explanation:

Final answer:

To determine the percentage of the jury not over 35 years old, divide the number of jurors not over 35 by the total number of jurors (3/12) and then multiply by 100, resulting in 25 percent.

Explanation:

If nine out of twelve jurors are over 35, then three out of twelve jurors are not over 35. To find out what percentage of the jury is not over 35, we use the following calculation:

Divide the number of jurors who are not over 35 by the total number of jurors. So we get 3/12.To convert this fraction into a percentage, multiply by 100. So we get (3/12) × 100.Perform the multiplication: 3 × 100 = 300, then divide by 12: 300 / 12 = 25.

Therefore, 25 percent of the jury is not over 35 years old.

I NEED HELP ASAP CORRECT ANSWERS ONLY

Answers

what’s the question

12t+12=-24 what is t?

Answers

Answer:

t=-3

Step-by-step explanation:

12t+12=-24

12t=-36

t=-3

C and D are complementary. The measure of C is (4x) degrees and the measure of D is 26 degrees. What is the value of x

Answers

Answer: x=16

Step-by-step explanation:subtract 26 from 90 then divide 64 by 4 and you get 16

Answer:

X=16

Step-by-step explanation:

The answer is 16. 90-26/4=16

4. Carter has one $20 bill, one $10 bill,
four $5 bills and two $1 bills. Aubrey has
two $10 bills, five $5 bills, and seven
$1 bills. Who has more money? Explain.

Answers

Answer: Therefore, They both have the same amount!

Step-by-step explanation:

Carter=  20+10+4(5)+2(1)=

             30+20+2= 52 dollars

Aubrey=  2(10)+5(5)+7(1)=

                20+25+7=52 dollars

Please mark brainliest!

They both have the same amount. Aubrey $52 and Carter $52 as well

If 1 measures 135°, what is the measure of 6? (Lines b and c are parallel.)

135°

65°

90°

45°

Answers

The Question is Incomplete, the Complete Question is with figure is below.

Answer:

Therefore,

The Measure of angle 6 is

[tex]\angle 6 =45\°[/tex]

Step-by-step explanation:

Given:

m∠1 = 135°

Lines b and c are parallel.

To Find:

m∠6 = ?

Solution:

Linear Pair:

A linear pair of angles is formed when two lines intersect.  

Two angles are said to be linear if they are adjacent angles formed by two intersecting lines.  

The measure of a straight angle is 180 degrees, so a linear pair of angles must add up to 180 degrees.  

Example

∠ 1 and ∠ 2 ∠ 1 and ∠ 3 ,etc

[tex]\angle 1 + \angle 3 = 180\°[/tex]

Substituting the values we get

[tex]135 + \angle 3 = 180\\\\\angle 3 = 180-135=45\°[/tex]

Now,

Lines b and c are parallel.  .Given

When Two lines are Parallel Alternate interior angles are equal

∠ 3 and ∠ 6 are Alternate Interior angles

[tex]\angle 3 = \angle 6[/tex]

But [tex]\angle 3 =45\°[/tex]

[tex]\angle 6 =45\°[/tex]     ...Transitive Property

Therefore,

The Measure of angle 6 is

[tex]\angle 6 =45\°[/tex]

How do yo solve (x-5)(-3)=18

Answers

Answer:

x = -1

Step-by-step explanation:

Given

(x - 5)(-3) = 18

Expand the bracket

x X -3 -5 x -3 = 18

-3x + 15 = 18

Subtract 15 from both sides

-3x + 15 - 15 = 18 - 15

-3x = 3

Divide both sides by -3

-3x/-3 = 3/-3

x = -1

Guys please help me with #8 and #11 thank you

Answers

8. You want to break up the room into the bedrooms and the closet. The bedroom’s dimensions are LxWxH, which is 14x12x9. Multiplying that should get you 1512 cubic feet. The closet is 3x4x7, which is 84 cubic feet. add them for -1596 cubic feet-

11. the total volume of the closet is 208 cubic feet (using the same idea from number eight) and 208 divided by 32 is 6.5, so you round up to 7, which is the answer.

Question is;
Find the number of roots/solutions for the quadratic equation: x^2 + 4 = 0

Unsure about how to figure that out, as we don't have bx. Please help

Answers

Answer:

(x-2)(x+2)

Step-by-step explanation:

if we expand the above quadratic we can see that the -2x and + 2x will cancel eachother out therefore there is no bx in this quadratic equation

Answer:

No roots/solutions

Step-by-step explanation:

No bx means b = 0

B² - 4AC

(0)² - 4(1)(4)

-16 < 0

write the equation of a function that passes through these points

Answers

Answer:

heine is a former member and the chief of the United nations and th t in my experience with the United states and t the u.s. government of th world and is th American standard bible in a very good country of th I think 8is the most popular among women and the men in a society where the oth was the other one that had the most of t to the world that I would not like you to be in my life and I don't know how much I

Solve for X. -x < -29

Answers

Answer:x<29

Step-by-step explanation:

X<29

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