7+4(r+3)=9r-6
show work pls AND HELP ASAP

Answers

Answer 1

[tex] \: \: \: \: \: \: [/tex]

[tex] = \: \: \: \: r = 5[/tex]

Step-by-step explanation:

[tex]7 + 4(r + 3) = 9r - 6[/tex]

distribute 4 through the parentheses

[tex]7 + 4r + 12 = 9r - 6[/tex]

add numbers

[tex]19 + 4r = 9r - 6[/tex]

move the variable to the left hand side and change its sign

[tex]19 + 9r = - 6[/tex]

move the constant to the right hand side and change its sign

[tex]4r - 9 = - 6 - 19[/tex]

collect like terms

[tex] - 5r = - 6 - 19[/tex]

calculate the difference

[tex] - 5r = - 25[/tex]

divide both sides of the equation by -5

[tex] = \: \: \: \: r = 5[/tex]

hope it helps

Related Questions

The ratio of green balloons to blue balloons is 6 to 9 if there are 1620 blue balloons how many green balloons are there

Answers

We know that the ratio is 6:9 green to blue balloons. We can divide 1620 by 9. This gives us 180. Next, we multiply 6 * 180. This gives us 1080.

There are 1,080 green balloons.

i need HELLPPPPPPP PLEASEEE

Answers

Answer:

B

Step-by-step explanation:

thats the only one that can go on a number  line correctly, plz mark me brainiest

How i can answer this question, NO LINKS, if you answer correctly i will give u brainliest!

Answers

Answer:

The answer is 8

x=3

4^3/2^3=8

PLEASE HELP 50 POINTS I WILL GIVE BRAINLIEST

Answers

Answer:

See image

Step-by-step explanation:

In both of these the words "more than" mean adding and not the symbol >

difference means subtracting

See image

socks cost $2 per pair. the cost of n pairs $2n. john says that the cost of 6 pairs is $26 and the cost of 7 pairs is $27. is this correct? what did john do wrong?​

Answers

Answer:

John is incorrect. He did not multiply.

Step-by-step explanation:

If a pair of socks cost $2, then the total cost of the socks if you buy n pairs is $2n. In the expression 2n, the 2 is the dollar amount and the n is the number of pairs.

1 pair is $2.

2 pair are $4.

3 pair are $6.

4 pair are $8.

5 pair are $10.

6 pair are $12.

7 pair are $14.

13 pair are $26.

There is no way to spend $27 on these socks.

25 pair are $50.

Hopefully, you can use logic, your prior knowledge of making purchases of multiple items and also algebra to see you must multiply the number of items you're buying times the cost per item.

6 pair are $12 and 7 pair are $14. John is wrong. He did not multiply.

Consider the number. -|-34.5| what is the distance from this number to zero on a standard number line??

Answers

Answer:

34.5

Step-by-step explanation:

The absolute value of -|-34.5| is -34.5. So, -34.5 is 34.5 away from 0.

Answer:

34.5 units.

Step-by-step explanation:

When we simplify -|-34.5|, we get -34.5, which is basically 34.5 units away from 0.

Hoped this helped.

What happens in the inequality when we multiply or divide by a negative number?

Answers

Answer:

The inequality flips.

It can go from

> to <

and vice versa

PLs HELP I HAVE A HEADACHE I WILL GIVE BRAINLY

Answers

Answer:

Have some water and take a short break from the screen if possible, maybe get a few minutes of fresh air

First, and x-intercept at the origin simply means the line passes through 0, 0. On both graphs given we can, we can see that they do not touch 0,0. From the table as well, y at x = 0 does not equal 0. Finally, this leaves c(x). C(x) does pass through 0, 0.

Hope this helps!

you use a garden hose to fill a wading pool if the water level rise 12 centimeters every 5 minutes and you record the data point of (15,y) what is the value of y

Answers

15/3= 5
so 5 x 12 = 60

What inequality is represented by this graph?
O X > 6 O X _< 6 O X<6 OX_>6

Answers

last option in the picture

James and Bethany Morrison are celebrating their 10th anniversary by having a reception at a local reception hall. They have budgeted $3,000 for their reception. If the reception hall charges a $80 cleanup fee plus $33 per person, find the
greatest number of people that they may invite and still stay within their budget.
James and Bethany can invite at most people to the reception
(Round down to the nearest whole person)

Answers

Answer:

88 people

Step-by-step explanation:

Start with the equation of

[tex]3,000\geq 33x+80[/tex]

subtract 80

[tex]3.000\geq 33x[/tex]

then divide by 33

[tex]88.48\geq x[/tex]

round down

[tex]x=88[/tex]

Plz need help

What is the value of (2/3)

Answers

Answer:

2/9

Step-by-step explanation:

2(2/3)^2-4(2/3)+2

2(4/9)-8/3+2

8/9-8/3+2

-16/9+2

2/9

Your family took a road trip to Disneyland. For a part of the drive, your family drove 70 miles per hour for 4 hours. How far did your family drive for that portion of the trip?

Answers

Based on these calculations of driving 70 miles per hour for 4 hours, you must multiply 70 by 4.

70 x 4 = 280

For four hours of driving, the family drove 280 miles.

Answer: 280 miles

Explanation:
If they’re going 70 miles every 1 hour, then just multiply that by the number of hours they travel.
70 * 4 = 280 miles in 4 hours

PLEASE HELP Using the 2 points below, write the slope intercept form equation of the line.


(3,−1) and (0,3)

Answers

Answer:

  y = -4/3x +3

Step-by-step explanation:

The slope is given by the formula ...

  m = (y2 -y1)/(x2 -x1)

  m = (3 -(-1))/(0 -3) = 4/-3 = -4/3

The y-intercept is the point for which x = 0. The given point (0, 3) tells us the y-intercept is b = 3.

The slope-intercept form equation is ...

  y = mx +b

  y = -4/3x +3

a triangle with side 9,10and 11 has the same perimeter as a square with sides of length

Answers

Answer:

7.5.

Step-by-step explanation:

A square has 4 equal sides so:

4x =  9  + 10 + 11    where x is the length of one side of the square.

4x = 30

x = 7.5.

Lena ran in a 340-meter race.About how many feet did she run?

Answers

Answer:

1115.49 feet

Step-by-step explanation:

To convert meters to feet, multiply 340 meters by 3.281 because there are approximately 3.281 feet in 1 meter.

340*3.281= 1115.49

A treasure map says that a treasure is buried so that it partitions the distance between a rock and a tree in a 5:9 ratio. Marina traced the map onto a coordinate plane to find the exact location of the treasure. X = (StartFraction m Over m n EndFraction) (x 2 minus x 1) x 1 y = (StartFraction m Over m n EndFraction) (y 2 minus y 1) y 1 What are the coordinates of the treasure? If necessary, round the coordinates to the nearest tenth. (11. 4, 14. 2) (7. 6, 8. 8) (5. 7, 7. 5) (10. 2, 12. 6).

Answers

The location of the treasure on the treasure map is (b) (7.6,8.8)

The ratio is given as:

[tex]m : n = 5 : 9[/tex]

The coordinates of the rock and the tree are:

[tex]Rock =(3,2)[/tex]

[tex]Tree = (16,21)[/tex]

The x and y coordinates of the location of the treasure are:

[tex](x,y) = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})[/tex]

So, we have:

[tex](x,y) = (\frac{5 \times 16 + 9 \times 3}{5 + 9},\frac{5 \times 21 + 9 \times 2}{5 + 9})[/tex]

[tex](x,y) = (\frac{107}{14},\frac{123}{14})[/tex]

[tex](x,y) = (7.6,8.8)[/tex]

Hence, the location of the treasure is (b) (7.6,8.8)

Read more about line segment ratios at:

https://brainly.com/question/14382744

The number of football games with a score less than or equal to 29 is equal to half the number of basketball games with a score greater than or equal to
.

For both sports, if the only games won were those with scores of 30 or higher, how many more basketball games were won compared to football games won?

What is the difference between the total maximum possible points scored by the basketball team last year and the total maximum possible points scored by the football team last year?
points

Answers

Answer:

basketball player scored 40 points in a game. The number of three-point field goals the player made was 22 less than three times the number of free throws (each worth 1 point). Twice the number of two point field goals the player made was 11 more than the number of three point field goals made. Find the number of free-throws, two point field goals, and three point field goals that the player made in the game.

Once I have the equations I understand how to do the problem, but I am obviously doing something wrong because each time I write out the equations I end up getting fractions.

What is the area of this figure?

Answers

Answer:

84mm

Step-by-step explanation:

square = LxW = 6x6 =36

triangle = bxh/2 = 6x8/2 =24

add together 24x2+36=84

If the magnitude of vector u is ||u||=7.81 and its angle of direction is 129.81°, which graph represents vector -u?

Answers

Answer:

  see attached

Step-by-step explanation:

The vector -u will be in the opposite direction of u. The magnitude is 7.81, but the angle is 129.81° -180° = -50.19°. A graph of it is attached.

_____

The (x, y) components are ...

  7.81(cos(-50.19°), sin(-50.19°)) ≈ (-5.00, -6.00)

Which equation could be used to solve the question below?

Justine went to the doughnut shop and bought d boxes of 24 doughnut holes. Then, she took 37 doughnut holes to her morning meeting. Now, she has 83 doughnut holes left. How many boxes of doughnut holes did Justine buy in all?

Answers

Answer:

5 PLZ GIVE BRAINLIEST

Step-by-step explanation:

83+37 = 120

120/5=24

100 people planned to run to raise funds for a charity. Twenty percent of them ran 3 miles, two-fifth ran 6 miles, and the rest ran 9 miles. For every mile run, they raised $20. What was the total amount raised for the charity?

Answers

Answer:

$13,200

Step-by-step explanation:

20*3=60*20=1200

40*6=240*20=4800

40*9=360*20=7200

1200+4800+7200=13200

ANSWER:

360

Step-by-step explanation:

Solve for x in the triangle. Round your answer to the nearest tenth.

Answers

Answer:

x=4.225

Step-by-step explanation:

You can use your trigonometric ratios to help you solve this problem. We have the hypotenuse and the angle that the triangle makes with the adjacent side. X is the adjacent side of this problem, therefore we need to take the cosine of this angle (remember SOHCATOA, Sine: Opposite/Hyp, Cosine: Adjacent/Hyp, and Tan: Opp/Adj) using this, we can model an equation where Cos(62)=(x/9), in order to solve for x, simply multiply both sides by 9 to get a final answer of 4.225...

2x + 3y = 9
3x - y = 8

Answers

[tex]\left \{ {{2x + 3y = 9} \atop {3x - y = 8}} \right. <=>\left \{ {{2x + 3y = 9} \atop {9x-3x=24}} \right. <=>\left \{ {{2x+9x+3x-3x=9+24} \atop {9x-3x=24}} \right. \\<=>\left \{ {{11x=33} \atop {9x-3x=24}} \right. <=>\left \{ {{x=3} \atop {y=1}} \right.[/tex]

ok done. Thank to me :>

The length of a rectangle is equal to three times the width.Find the dimensions of the rectangle if the perimeter is 86 centimeters.

Answers

Answer:

length: 32.25 cmwidth: 10.75 cm

Step-by-step explanation:

Let w represent the width. Then 3w represents the length. The perimeter formula is ...

  P = 2(L +W)

  P = 2(3w +w)

  86 cm = 8w

  w = 10.75 cm

  3w = 32.25 cm

The rectangle is 32.25 cm long and 10.75 cm wide.

Solve for the value of R.
PLEASE HELP ME SOMEONE ILL GIVE YOU POINTS AND BRAINLIST ANSWER!!!!

Answers

Answer:

r=20°

Step-by-step explanation:

Because the whole angle is 180°, you can make an equation.

105+(4r-5)=180

4r-5=75

4r=80

r=20

Give the other person brainliest ;)

How do I solve this please look for the x and then the y

Answers

Answer:

x + y = 75

Step-by-step explanation:

2x - 5 and 75 are adjacent angles on a straight line and sum to 180° , that is

2x - 5 + 75 = 180

2x + 70 = 180 ( subtract 70 from both sides )

2x = 110 ( divide both sides by 2 )

x = 55

Then

2x - 5 = 2(55) - 5 = 110 - 5 = 105

2x - 5 and 4y + 25 are vertically opposite angles and are congruent, so

4y + 25 = 105 ( subtract 25 from both sides )

4y = 80 ( divide both sides by 4 )

y = 20

Then x + y = 55 + 20 = 75

someone help me please

Answers

Answer:

54m^2

Step-by-step explanation:

Area for a triangle = 1/2(12*9)

12 x 9 = 108

108/2 = 54

54m^2 have a good day

12 5 x-10 what is the value of x

Answers

Answer:

X=23

Step-by-step explanation:

12²+5²=(X-10)²

144+25=(X-10)²

169=(X-10)²

√169=√(X-10)²

13=X-10

X=23

a^-13/ a^-6= ?
Rewrite the expression in the form a^n


Answers

Answer:

a^-7

Step-by-step explanation:

so when dividing exponents you subtract them so the exponents are -13 and -6  you would just subtract them

-13 - (-6) = -13 + 6 = -7

and so a^-7 is ur answer

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