solve 4(3r + 4) - 6(r + 1) =22

Answers

Answer 1

Answer:

r = 2

Step-by-step explanation:

4(3r + 4) - 6(r + 1) =22

12r + 16 - 6r - 6 = 22

6r = 12

r = 2


Related Questions

Is 7 to the 8th power times 7 equivalent to 7 to the the third power times 7 to third power equivalent?

Answers

Answer:

They are not equivalent.

Step-by-step explanation:

Before we solve the question, we need to know that from the laws of indices:

A^x x A^y = A^(x+y).

7 to the power of 8th power means 7^8

7^8 times 7 means 7^8 x 7. From the laws of indices we have 7^8 x 7 = 7^9.

7 to the power of 3rd power means 7^3

7^3 times 7 to the power of 3rd power means 7^3 x 7^3. From the laws of indices we have 7^3 x 7^3 = 7^6.

Obviously, 7^9 ≠ 7^3 therefore, they are not equivalent.

y=[tex]x^{2}[/tex] +3x−10 Write this equation in factored form

Answers

Answer:

y = (x - 2) (x + 5)

Step-by-step explanation:

Tell whether the angles are complementary or supplementary. Then find the value of x.

Answers

Answer:

complementary x=5

Step-by-step explanation:

A triangular prism is 19 yards long and has a triangular face with a base of 18 yards and a height of 12 yards. The other two sides of the triangle are each 15 yards. What is the surface area of the triangular prism?

Answers

Answer:

1128 Yard²

Step-by-step explanation:

From the question,

The surface area of a triangular prism is

A = bh+H(a+b+c)...................... Equation 1

Where a = First side of the triangular face, b = base of the triangular face, c = the other side of the triangular face, H = heigth of the prism, h = height of the triangular face

Given: a = 15 yard, b = 18 yards, c = 15 yards, h = 12 yards, H = 19 yards.

Substitute these values into equation 1

A = (18×12)+ 19(15+15+18)

A = 216+19(48)

A = 216+912

A = 1128 Yard²

Hence the surface area of the triangular prism is 1128 yard²

Tentukan nilai limit x->3 x2-9/x-3

Answers

Answer:

6

Step-by-step explanation:

Factor the numerator, difference of squares

[tex]\frac{(x-3)(x+3)}{x-3}[/tex] ( cancel x- 3 on numerator/ denominator )

= x + 3

limit as x → 3 = 3 + 3 = 6

A house was purchased in 2012 for $150,000 If the value of the home increases by 3% each year, what will the house be worth in the year 2015?

Answers

The house will be $163,909.05 in 2015

I WILL GIVE BRAINLIEST!!!

Answers

g(x)= (x + -5)²  minus -8= 33

The largest Easter Basket ever made in out city was in the shape of a huge circle and had a circumference of 20 feet. How many feet wide was the Easter Basket? (Round to the tenths place)

Answers

Answer:

13

Step-by-step explanation:

asddfghjkl;

.,kjhuilk;jk;lk'

Please help someone, give me correct answer to these 2 problems.

I will mark you brainliest for the correct answer.

Please help!!!!!

I need the answer to both pictures!!!!!!!

Answers

Answer:

60° 60° 60°

60°

Step-by-step explanation:

In any triangle, the sum of its interior angles is 180°, and 60+60+60=180.

As for the other question, we can see that angle5=angle1, and angle6=angle2, due to the parallelism of the lines.

Angle5+angle6=180°, therefore

Angle6=180-120=60°=angle2

PLEASE HELP !!! ILL GIVE BRAINLESS

Answers

Answer:

a. ∠G = 180 - (90 + 32)

b. ∠G = 58°

c. ∠J = 180 - 58°

d. ∠J = 122°

Step-by-step explanation:

Angles are added to result in 180°

when the line is straight; thus:

a.

∠G = 180 - (90 + 32)

b.

∠G = 180 - 122

∠G = 58°

c.

∠J = 180 - 58°

d.

∠J = 122°

_____________________

#IndonesianPride - kexcvi

Casey recently purchased a sedan and a pickup truck at about the same time for a new business. The value of the sedan S, in dollars, as a function of the number of years t after the purchase can be represented by the equation S(t)=24,400(0.82)t. The equation P(t)=35,900(0.71)t2 represents the value of the pickup truck P, in dollars, t years after the purchase. Analyze the functions S(t) and P(t) to interpret the parameters of each function, including the coefficient and the base. Then use the interpretations to make a comparison on how the value of the sedan and the value of the pickup truck change over time.

Answers

Answer:

Step-by-step explanation:

Because many objects are not regularly shaped their volume cannot be determined using a volume formula. The volume of these objects can be found by water displacement. A volume of water sufficient to cover the object is placed in a graduated cylinder and the volume read. The object is added to the cylinder and the volume read again. The difference between the two volumes is the volume of the object. This method is demonstrated using the same battery used above.

Answer:

Because many objects are not regularly shaped their volume cannot be determined using a volume formula. The volume of these objects can be found by water displacement. A volume of water sufficient to cover the object is placed in a graduated cylinder and the volume read. The object is added to the cylinder and the volume read again. The difference between the two volumes is the volume of the object. This method is demonstrated using the same battery used above.

Step-by-step explanation:

Help!
Solve for the vaule(s) of b: b- 4.3 > 16.1​

Answers

Answer:

b>20.4

Step-by-step explanation:

Evaluate the following expression:
62 - 7(8 + 6 – 3²)


ANSWER STAT!!

Answers

Answer:

27

Step-by-step explanation:

The function f(x) = 34,000(1.05)* can be used to
determine Noah's cost of living in Houston over time.
What does the 1.05 represent?
A The cost of living will increase by approximately 1% each year
B The cost of living will decrease by approximately 1% each year
C The cost of living will increase by approximately 5% each year
D The cost of living will decrease by approximately 5% each year

Answers

9514 1404 393

Answer:

  C  The cost of living will increase by approximately 5% each year

Step-by-step explanation:

If we assume your function is ...

  [tex]f(x)=34000(1.05)^x\qquad\text{x is years}[/tex]

Then the growth factor 1.05 represents a growth rate of 1.05 -1 = .05 = 5% per year. The positive growth rate means the cost of living is increasing.

Noah's cost of living is increasing about 5% per year.

in the math equation W=F*D what relationship is required for work to be done


the force must be equal to the distance

the force must be perpendicular to the distance

the force must be greater than the distance

the force must be in the same direction as movement​

Answers

The relationship that is required for work to be done is the force must be perpendicular to the distance

Equation of work done

The formula for calculating the work done is expressed as:

W = Fd

where
F is the force

d is the distance

For work to be done, the force must act perpendicularly to the given distance. Hence the relationship that is required for work to be done is the force must be perpendicular to the distance

Learn more on workdone here: https://brainly.com/question/25573309

Diana is working on a painting for school. She needs 1 1/5 ounces of yellow paint and 2 1/2 ounces of orange paint. How much less yellow paint does she need than the orange paint?

Answers

Answer:

1 3/10

Step-by-step explanation:

We are to determine the difference the paint of yellow and orange paint

The equation we are to solve is

[tex]2\frac{1}{2} - 1\frac{1}{5}[/tex]

The equation can be solved by taking the following steps

Subtract the two whole numbers divide each denominator by the least common multiple of the denominator and multiply the figures by the numerator

[tex]1\frac{5 - 2}{10}[/tex] = [tex]1\frac{3}{10}[/tex]

Compañeros de pintas gratis ... disfruta: D

Answers

Answer

THank you

Step-by-step explanation:

Answer:

gracias amigo

Step-by-step explanation:

ten un buen fin de semana se te aprecia se te aprecia

Simplify the following expression 5(5c+1)
Step by step explanation

Answers

Answer:

25c+5

Step-by-step explanation:

Multiply 5 with every term inside the bracket, so 25c+5

Help me find the x??????

Answers

Answer:

22 + 4x = 90

4x = 68

x = 17

Step-by-step explanation:

Answer:

90-22=68.   68/4 is what?

Step-by-step explanation:

What type of correlation exists between the temperature and the number of fruit bars sold? What is the real-world meaning of the slope of the line of best fit for the given scenario? There are approximately more fruit bars sold for every degree(s) the temperature rises

Answers

Answer:

There's no figure, but okay! The type of correlation that exists between the temperature and the number of fruit bars sold is a positive correlation.

The real-world meaning of the slope of the line of best fit for the given scenario is that: As the temperature increases, so too does the number of fruit bars sold.

I hope that helps you!! ^-^

Answer:

What type of correlation exists between the temperature and the number of fruit bars sold?

✔ positive

What is the real-world meaning of the slope of the line of best fit for the given scenario?

There are approximately ✔ 2.2 more fruit bars sold for every ✔ 1 degree(s) the temperature rises.

Step-by-step explanation:

got it right in edg 2021, hope this is of help :)

Directions Find the value of each variable

Answers

Answer:

X= 2 sqrt of 7

Y=2 sqrt of 7

Step-by-step explanation:

I just know the answer srry

in thier last game the schook football team scored an equal numbwr of points in each of the first 3 quaters then 14 in the fouth quater if the scored 44 points in the in all how many points did they score for the first quater​

Answers

Answer:

they scored 10 in the first quarter

Step-by-step explanation:

44-14=30

30 divided by 3 = 10

(i got divided by 3 because its 3 quarters and i have to figure out the amount for 1 quarter)

Please Help ill make brainliest 15 points

A:149
B:153
C:225
D:297

Answers

Answer: 225 square feet

Step-by-step explanation:

We find the area of the 4 triangle and the area of the rectangle and thereafter we add everything together.

Area of triangle 1 = 1/2 base × height

= 1/2 × 12 × 8

=96/2

=48

Area of triangle 2 = area of triangle 1= 48( because the opposite triangle are congruent so they have equal base and height)

Area of triangle 3 = 1/2×base×height

= 1/2 × 6 ×9.5

= 57/2

=28.5

Area of triangle 4=Area of triangle 3 = 57 (the opposite triangle are congruent and so they have the same base and height hence the same area)

Area of the rectangle = length×breadth

=12 × 6 =72

Total surface area = addition of all the areas of the triangles and the rectangle

Total surface area= 48+48+57+57+72 = 225

Therefore, the total surface area is 225 square feet

Henry is mixing concrete.
To make concrete he needs to mix cement, sand and gravel in the ratio 3 : 2 : 7 by weight.
Henry needs to make 180kg of concrete.
He has 46kg of cement, 29kg of sand and 105kg of gravel.
Which ingredient is Henry short of?

Answers

9514 1404 393

Answer:

  1 kg of sand

Step-by-step explanation:

For 180 kg of concrete using the given ratios, you need ...

  (3/12)(180 kg) = 45 kg of cement

  (2/12)(180 kg) = 30 kg of sand

  (7/12)(180 kg) = 105 kg of gravel

The inventory of 29 kg of sand is 1 kg short of the amount needed.

Henry is short 1 kg of sand.

What is this anyone ???

Answers

Answer:

7.2x10^13

Step-by-step explanation:

A system of equations is graphed below.
How many solutions does this system of equations have?

A.one solution
B.two solution
C.no solution
D.infinitely many solution

Answers

i think the answer is infinitely many solutions

i am not sure tho

hope it helps

Factor the Polynomial
5x2 + 45x

Answers

i’m gonna assume it’s 5x(2)+45x
10x+45x=55x

Answer:

55x

Step-by-step explanation:

5x*2+45x=

10x + 45x= 55x

HELP ME NOW ASAP PLEASE

Answers

Answer:

D. There are points on the graph with the same [tex]x[/tex]-coordinate but different [tex]y[/tex]-coordinate.

Step-by-step explanation:

A relation is a function if and only if each element of the range, corresponding with y-axis, is associated with only one element of the domain, corresponding with x-axis. In this case, the graphed relation is not a function, since for all element of the domain, except 0, are related to two distinct elements of the range.

Hence, correct answer is D.

Can someone help me please

Answers

Answer:9/40

Step-by-step explanation:

there is no use of hupotenuse as tanA = p/b

The ratio of boys and girls riding the bus is 4:3 if there are a total of 56 students on the bus,how many girls are on the bus

Answers

Answer:

18 or 14

Step-by-step explanation:

also, can u help me with my recent questin

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