Define a variable and write an expression for the phrase. 7 less than a number

If the pair of points (5, 6) and (10, y) lie on a line with slope 4/5, then the value of y is 10

The slope m of the line passing through the points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] is calculated as:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

For the line passing through points (5, 6) and (10, y)

[tex]x_1=5, y_1=6, x_2=10, y_2=y[/tex]

The slope, m = 4/5

Substitute these value into the slope formula and solve for y

[tex]m=\frac{y_2-y_1}{x_2-x_1} \\\\\frac{4}{5}=\frac{y-6}{10-5} \\\\\frac{4}{5}=\frac{y-6}{5}[/tex]

Cross  multiply:

4(5)  =  5(y-6)

4   =  y  -  6

Collect like terms

y  =  4  +  6

y  =  10

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Answer:

  C

Step-by-step explanation:

The first step in solving a problem is to understand what you are given. Here, all of the tables have the same set of equally-spaced x-values. That means a linear relationship can be identified by looking for constant differences in the f(x) values.

Only the f(x) values in Table C have constant differences (all are 2).

Table C represents a linear function. f(x) = 2x -1

Answer:

365°, (65 +20t)°

Step-by-step explanation:

Temperature of oven

= initial temperature + 20°(number of minutes passed after it was turned on)

Temperature of oven after 15 minutes

= 65 +20(15)

= 65 +300

= 365°

Temperature after t minutes

= (65 +20t)°

6)  [tex]\frac{9}{4}[/tex] ÷ [tex]\frac{5}{8} \\[/tex] = [tex]\frac{9}{4} . \frac{8}{5} = \frac{9.4.2}{4.5} =\frac{18}{5}[/tex]

7)  [tex]2\frac{1}{2}[/tex] ÷ [tex]4\frac{1}{2}[/tex] = [tex]\frac{5}{2}[/tex] ÷ [tex]\frac{9}{2}[/tex] = [tex]\frac{5}{2} .\frac{2}{9}=\frac{5.2}{2.9} =\frac{5}{9}[/tex]

ok done. Thank to me :>

Step-by-step explanation:

X - 4 = 0

X = 4

X - 2 = 0

X = 2

So the values of x are 2 and 4

Answer:

the other guy is correct, i think

Step-by-step explanation:

Answer:

BCA is half of that of BCD. BCD is ~90 degrees, and BCA is ~45 degrees.

(~ meaning about)

Hope that helps

Answer:

  a. 2116 miles

  b. 105.8 gallons

  c. $305.76

  d. cost per gallon = total cost / number of gallons = total cost/105.8

Step-by-step explanation:

The round-trip distance is the sum of the distances there and back. It is double the one-way distance.

  round-trip distance = 2 × one-way distance

  round-trip distance = 2 × 1058 miles = 2116 miles

__

The gas used will be the distance divided by miles per gallon.

  gas used = round-trip distance / miles-per-gallon

  gas used = (2116 mi)/(20 mi/gal) = 105.8 gal

__

The cost of gas will be the product of cost per gallon and number of gallons.

  cost of gas = cost-per-gallon × gallons

  cost of gas = $2.89/gal × 105.8 gal = $305.762 ≈ $305.76

__

The relation used in the previous step can be used to find the cost per gallon. Divide that equation by gallons to get ...

  (cost of gas)/gallons = cost-per-gallon

For the same trip, the number of gallons is 105.8, so the equation becomes ...

  cost-per-gallon = (cost of gas)/105.8

Answer:

Esma can fit 3 packages in the box because 20+10+10=30 and 5+2+2=9 so if you add up 9 three times you get 27 and that is the closest number you can get before going over.

Step-by-step explanation:

Answer:

total bill = $15.23

Step-by-step explanation:

4.5 + 2.5 + 7.5 = 14.5

14.5 x 0.05 = 0.725

14.5 + 0.725 = 15.225 ≈ 15.23

Answer: We have been given two inequalities and . We are asked to find the integers that satisfy both inequalities.

Step-by-step explanation:

Let us solve for our 1st inequality.

2x + 9 - 9 < 0 - 9

2x< -9

2x/2 < -9/2

X< -4.5

Upon combining our both inequalities, we will get:

-12 < x < -4.5

This means that solution of our inequalities is x values greater than -12 and less than -4.5

We know that integers between and are: -11, -10, -9, -8, 7, -6,-5.

Therefore, our solution would be X= {-11,-10,-9,-8,7,-6,-5}

Answer:

-4.84

Step-by-step explanation:

the -4.84 is closest to the positive side of a number line. meaning -4.84 is greater

Answer:

-4.84

Step-by-step explanation:

Becuase the smaller the minus number the greater Becuase its the reverse of positive numbers

Answer:

37 cents.

Step-by-step explanation:

Two lightbulbs sell for 73¢, meaning one lightbulb sells for 36.5¢ (73/2), or "unit price" (the price for one of something). Rounded to nearest cent at 37¢.

Answer:I think it would be the grocery store is at (-4, -8) but I not sure

Step-by-step explanation:

Answer:

Step-by-step explanation:

9-3= 6 units (since x coordinates are same). We can also show by manually counting the squares (1 square= 1 unit)

Yes, its greater. Distance from house to school is 6. Distance from school to grocery is 3-(-8)= 11. Thus, distance is 11+6= 17 units.

Distance from house to school is 6. Distance from school to community center is 1-(-4)=5. Thus, distance= 6+5=11 units.

Answer:

Part A: 60

5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60.

12, 24, 36, 48, 60.

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

Part B: 9

81 / 72 = 9

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

Part C: 9 (8 + 9)

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

GCF of 72 and 81 is 9...

Divide 72 by 9 and get 8.

Divide 81 by 9 and get 9.

To check multiply 9 with 8, and multiply 9 by 9.

Step-by-step explanation:

general formula

x²-(a+b)x+(ab)

where a is alpha

and b is beta

x=-4+2/6 or x=-4-2/6

x=-1/3 or x=-1

a+b=-1/3 + -1 =-4/3

ab= -1/3 x -1 =1/3

quadratic equation

x²-(-4/3)x + 1/3=0

x² + 4/3x + 1/3=0

multiply through by 3

3x² +4x +1=0

Answer:

general formula

x²-(a+b)x+(ab)

where a is alpha

and b is beta

x=-4+2/6 or x=-4-2/6

x=-1/3 or x=-1

a+b=-1/3 + -1 =-4/3

ab= -1/3 x -1 =1/3

quadratic equation

x²-(-4/3)x + 1/3=0

x² + 4/3x + 1/3=0

multiply through by 3

3x² +4x +1=0

Answer:

  B. II only . . . (-1, 4)

Step-by-step explanation:

The function factors as ...

  f(x) = (x +1)(x -4)

The factors are zero when x=-1 and x=4. The value of the function will be negative when one of these factors is negative, between x=-1 and x=4. In interval notation, that interval is ...

  (-1, 4) . . . interval for f(x) < 0 . . . . . . interval description II (only)

Answer:

x = -4y + 19

Step-by-step explanation:

We have the two equations 3x + 2y = 17 and x + 4y = 19.

The first step would be to rearrange the variables in the second equation so we have a defined expression for x. We would want to do this so we could then plug in the the defined expression for x into the other equation and solve for the other variable.

x + 4y = 19

We can rearrange this by getting the 4y to the other side.

We can get 4y on the other side by subtracting 4y from both sides

x + 4y - 4y = 19 - 4y

x = -4y + 19

And we have just completed the first step!

Answer:

-0.675

Step-by-step explanation:

A fraction is another way of writing a division problem. So to figure this out, simply divide -27 by 40

Answer: 1 1/2

Step-by-step explanation:

Step One: 3 / 2 = 1.5000 = 1

Step Two: 3 - (2 x 1) = 1

Step Three: 1 1/2

Please mark me branliest

Answer:

4 n 4 √ 3 n

Step-by-step explanation:

D is correct :)

The bunnies are multiplying by 5 each time. The exponent will have the growth be 5 times the product before.

Hope this helps :)

Answer:

the 4th answer is correct

Step-by-step explanation:

although technically, we don't have enough information, it's the only one that it could be.

Answer:

D

Step-by-step explanation:

3:

12

4:

16

Therefore 13 is in between 12 and 16

Answer:

We can treat i as if it was a variable/symbol, with the caveat that

i * i = -1

[6]

(4 - 13i) - (3 + 6i) = 4 - 13i - 3 - 6i = 4 - 3 - 13i - 6i = 1 - 19i

[7]

-1 + (-7 + 8i) - 18i = -1 - 7 + 8i - 18i = -8 - 10i

[8]

2i * (4 + 3i) = 2i * 4 + 2i * 3i = 8i + 6i^2 = 8i + 6*-1 = -6 + 8i

[9]

(6 - i) * (9 + 3i) = 6 * 9 + 6*3i - i*9 - i*3i = 54 + 18i - 9i - 3i^2 = 54 + 9i - (3*-1) = 54 + 9i + 3 = 57 + 9i

Answer:

6.) 1 - 19i

7 ) -8 - 10i

8.) -6 + 8i

9.) 57 + 9i

not sure if its the right answer

n = 4

Since you divide 6 by 3 to get 2, you divide 12 by 3 and you get 4.

Answer: 4

Step-by-step explanation: This problem is already set out as a proportion. you can cross multiply 6 times n which gives you 6n. Then 12 times 2 which gives 24.

Now you have 6n = 24. You can divide right away, or think of a number when you multiply into 6 gives you 24. Its obvious the answer is 4 because 6 x 4 = 24.

Check:

6/12 = 1/2

2/4 = 1/2

Hope this explanation helps.

Scale drawings are used to show an actual image using lesser dimensions.

The width of the actual gym is 72 feet

The scale is given as:

[tex]Scale = 5\ inches : 8\ feet[/tex]

Represent the width of the actual gym with w, so, we have the following equivalent ratio

[tex]45\ inches : w = 5\ inches : 8\ feet[/tex]

Cancel out the common units

[tex]45: w = 5: 8\ feet[/tex]

Express as fraction

[tex]\frac{45}{w} = \frac{5}{8\ feet}[/tex]

Cross multiply

[tex]5w = 45 \times 8\ feet[/tex]

Divide both sides by 5

[tex]w = 9\times 8\ feet[/tex]

[tex]w = 72\ feet[/tex]

Hence, the width of the actual gym is 72 feet

Read more about scale drawing at:

https://brainly.com/question/14934768

Answer:

6: 56

Step-by-step explanation:

Answer:

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

[tex]x^3[/tex]

is

Step-by-step explanation: