Find twe positive even consecutive intecers such
that the square of the smaller integer is 10 more
than the larger integer.

8.333 is the answer, divide 25 with 3

Answer:

x=<_26/3

OR

x=>_14/3

Add them together and divide

Answer:

  d = 15

Step-by-step explanation:

Divide the numbers

[tex]\frac{20}{16} =\frac{d}{12}[/tex]

[tex]\frac{5}{4} =\frac{d}{12}[/tex]

Multiply all terms by the same value to eliminate fraction denominators

[tex]12*\frac{5}{4} =12*\frac{d}{12}[/tex]

Cancel multiplied terms that are in the denominator

[tex]12*\frac{5}{4} =d[/tex]

Multiply the numbers

[tex]15=d[/tex]

Move the variable to the left

[tex]d=15[/tex]

Hence, d= 15.

[RevyBreeze]

Answer:

Freezer A is a better buy in terms of dollars per cubic​ foot.

Step-by-step explanation:

Freezer A: V = 2*2*4 = 16 ft^3

P/V= 400/16 = 25 $/ft^3

Freezer B: V = 2.5*2.5*3 = 18.75 ft^3

P/V= 500/18.75 = 26.6 $/ft^3

--> 25 < 26.6 that mean Freezer A is cheaper per cubic​ foot.

Answer:

x=25.5

Step-by-step explanation:

x + 9.5 = 35

Using the subtraction property of equality, we can subtract 9.5 from both sides:

x + 9.5 - 9.5 = 35 - 9.5

x=25.5

The required solution of the given equation is given as x = 25.5.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Given expression,
x + 9.5 = 35

Subtract 9.5 from both sides.
x = 35 - 9.5
x = 25.5

Thus, the required solution of the given equation is given as x = 25.5.

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Answer:

M

Step-by-step explanation:

B is the y-intercept, and obviously it couldn't be that. M is the slope, 200% sure. That wasn't a typo either lol.

Answer:Answer: 9, 9x, 18x

Step-by-step explanation:

Hope it helps

Answer:

  155°

Step-by-step explanation:

The obtuse angle of the large (outside) triangle is the supplement of 60°, so is ...

  180° -60° = 120°

The angle x is the sum of the remote interior angles of that large triangle:

  x = 35° +120° = 155°

__

Check

The other acute angle in the smaller (left) right triangle is 90° -35° = 55°. Then the top acute angle in the larger (bottom, right) right triangle is ...

  180° -55° -60° = 65°

The other acute angle in that triangle is 90° -65° = 25°. It is supplementary to angle x. Hence angle x is 180° -25° = 155°, as above. (Note that x is also the sum of 90° and 65°, the remote interior angles of the nearest right triangle to x.)

Answer:

He walks 10kph.

Steps:

So he walks 1km every 0.1 hour,

1 * 10 = 10

     ^

(which is 1.0 hour)

Answer:

10 km/h

Step-by-step explanation:

Speed = rate at which the man walks

= distance travelled/ time taken to travel the distance.

Speed = distance/time

= 7/0.7

= 70/7

= 10 km/h

Therefore, he walks at a speed of 10 km/h

Answer:

60%

Step-by-step explanation:

Put the percentages into decimal form and multiply by the 20. When you do this to the 60%, you get what they say the final total is, 12

Answer:

Step-by-step explanation:

the mismimostt plain and simple answer is that it's 60%

hope this helps :)

Answer:

A + 9 = 15

Step-by-step explanation:

given:

A + B = 15

if B is given 9, put it into the equation.

A + B = 15

A + 9 = 15

A = 15 - 9

A = 6

ANSWER:

y=2x-3

HOPE IT HELPS

Step-by-step explanation:

Add the system of equations each one by one.

I added them all downwards until i found the 4th one to be correct

y = 2x - 3

y = 2x - 3

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

2y = 4x - 6

y = 2x - 3.

To find the value of y in each coordinates given above, substitute their respective x values.

1......y = 2(5) - 3

= 10 - 3

= 7.

2......y = 2(8) - 3

= 16 - 3

= 13.

then write the value you substituted in x on the left side of each bracket & the value you got when you substituted them on the right.

(5 , 7) (8 , 13)

Answer:

Emily would earn a total of $6 after biking 15 miles.

Step-by-step explanation:

0.75 x ___ = 15

0.75 x 20 = 15

0.30 x 20 =  6

Answer:

(-4, 5)

Step-by-step explanation:

Hi there!
We are given the following system:
x+11y=51

3x+5y=13
And we want to solve it by substitution.
When we solve a system by substitution, we want to solve one of the equations for a variable; the variable should equal an expression containing the other variable. Then, we substitute that expression into the other equation as the variable we solve for, solve for that variable, and then use the value of the solve variable to find the value of the first variable

It's easier to solve for a variable if the leading coefficient in front of that variable is 1, like with x in the first equation (x+11y=51)
To solve this equation for x, we can subtract 11y from both sides.

x+11y=51

  -11y   -11y

_____________
x=51-11y
Now substitute 51-11y as x in 3x+5y=13:

3(51-11y)+5y=13

Multiply

153-33y+5y=13

Combine like terms.

153-28y=13

Subtract 153 from both sides

-28y=-140

Divide both sides by 28

y=5
Now substitute 5 as y in 51-11y to solve for x.

x=51-11y

x=51-11(5)
multiply

x=51-55

Subtract

x=-4

The answer is x=-4, y=5, or as a point, (-4, 5)
Hope this helps!

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Answer:

51

Step-by-step explanation:

[tex]\frac{w-3}{7} + 2w[/tex]

[tex]\frac{24-3}{7} + 2(24)[/tex]

[tex]\frac{21}{7} + 48[/tex]

[tex]3 + 48[/tex]

51

Answer:

51

Step-by-step explanation:

24-3=21; 2x24=48; 21/7+48= 51

I Hope this helps! :D

Answer:

vertical angles - angle 4 and angle 2

complementary angles - angle 2 and angle 3

supplementary angles- angle 2 and angle 1

Answer:

I think that it is B

Step-by-step explanation:

Answer:

it is C

Step-by-step explanation:

I cant explain it but if you know what your doing and how to do it you will figure it out and try and retrace your steps

Slope=y2-y1/x2-x1

so substitiuting the value of y2 y1 x2 and x1 we get answer 1/12

Hey there!

6s^2 or 6s2

= 6(7)^2 or 6(7)(2)

= 6(7 * 7) or 42(2)

= 6(49) or 84

= 294 or 84

Possible answer #1: 294

Possible answer #2: 84

We will just that your answer is: 294

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

Step-by-step explanation:

Great job and good luck :)

Answer:

Step-by-step explanation:

hypotenuse^2=alt^2+base^2

(a)^2=x^2+x^2

a^2=2x^2

a=√2x^2

a=x√2 cm.

Answer:

hypotenuse^2=alt^2+base^2

(a)^2=x^2+x^2

a^2=2x^2

a=√2x^2

a=x√2 cm.

Step-by-step explanation:

Answer:21,000

Step-by-step explanation:

350,000 ×6/100 = 350,000×0.00.06 =21,000

The commission earned by the agent is $21,000 which is the 6% of the total selling price.

Percentage is defined as the parts of a number per fraction of 100.  So the percentage actually means a part per 100.

Percentage is usually denoted by the symbol '%'.

We have to divide a number with it's whole and then multiply with 100 to calculate the percentage of any number.

Given that,

Price for which the home is sold = $350,000

Percentage as commission earned by real estate agent = 6%

Amount of commission = 6% of $350,000

                                       = 6% × 350,000

                                       = (6/100) × 350,000

                                       = 0.06 × 350,000

                                       = $21,000

Hence the commission earned by the real estate agent is $21,000.

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2) chromosomes

Step-by-step explanation:

"In the nucleus of each cell, the DNA molecule is packaged into thread-like structures called chromosomes" explanation from g.

The average rate of change for the quadratic function x²+2x+3 from x=−2 to x = 5 is 5.

A slope is also known as the gradient of a line or the average rate of change of a number that helps to know both the direction and the steepness of the line.

The rate of change of any function is the slope of the function, therefore, the slope of the function is written as,

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

As the value of the y is the function of the x, while the value of x is given, therefore,

[tex]x_2 = 5\\x_1=-2\\\\[/tex]

Now, the value of y,

[tex]y_2 = f(5) = x^2 +2x+3 = (5)^2+2(5)+3 = 38\\y_1 = f(-2) = x^2 +2x+3 = (-2)^2+2(-2)+3 = 3[/tex]

Substituting the value of x and y in the formula of the slope, we can write the slope as,

[tex]m = \dfrac{y_2-y_1}{x_2-x_1}\\\\m = \dfrac{f(x=5) - f(x=-2)}{5-(-2)}\\\\m = \dfrac{38-3}{7}\\\\m= 5[/tex]

Hence, the average rate of change for the quadratic function x²+2x+3 from x=−2 to x = 5 is 5.

Learn more about Slope:

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The amount will Brandon has saved in interest by consolidating the two balances is  $935. 28.

A credit card can be used for the purchase of goods and services. Generally, a credit card has a specific limit. It is known as a line of credit (LOC).

Given

The table below shows the information about the two credit cards Brandon currently uses.

Card A Card B Amount $957. 00 $1,476. 12 APR 11% 15% Monthly Payment $18. 22 $31. 21

72 months payment of Credit Card A

$18. 22 × 72= $1311.84

72 months payment of Credit Card B

$31. 21 × 72= $2247.12

The amount will Brandon have saved in interest by consolidating the two balances is;

$2247.12 - $1311.84 =  $935. 28

Hence, The amount will Brandon has saved in interest by consolidating the two balances is  $935. 28.

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Answer:

i got it right⬇️

Answer:

···⇒Area=195m²

Step-by-step explanation:

[tex]Solution,\\\\Base(b)=15m\\\\Height(h)=13m\\\\Now,\\\\Area=b*h\\\\Area=15m*13m\\\\Area=195m^{2}[/tex]

Answer:

The area of parallelogram is 195 m².

Step-by-step explanation:

As per given question we have provided that :

Here's the required formula to find the area of parallelogram :

[tex]\longrightarrow{\pmb{\sf{A = B \times H}}}[/tex]

Substituting all the given values in the formula to find the area of parallelogram :

[tex]\longrightarrow{\sf{A = B \times H}}[/tex]

[tex]\longrightarrow{\sf{A = 15 \times 13}}[/tex]

[tex]\longrightarrow{\sf{A = 195}}[/tex]

[tex]\star{\underline{\boxed{\sf{\red{A = 195 \: {m}^{2}}}}}}[/tex]

Hence, the area of parallelogram is 195 m².

[tex]\rule{300}{2.5}[/tex]

Answer:

Agency A:  y = 12x

So Agency A pays a rate of $12 per hour

Agency B:  y = 10x + 20

So Agency B pays an initial fee of $20 plus a rate of $10 per hour.

Step-by-step explanation:

Agency A

To create a straight line equation for the data in table, use  [tex]y = mx + b[/tex], where m is the slope and b is the y-intercept.

To find the slope m, take 2 points from the table and use the slope formula.

Let [tex](x_1,y_1)[/tex] = (3, 36)

Let [tex](x_2,y_2)[/tex] = (5, 60)

Slope formula: [tex]m=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{60-36}{5-3}=12[/tex]

Now use the point-slope formula to create the final equation:

[tex]y-y_1=m(x-x_1)[/tex]

[tex]\implies y-36=12(x-3)[/tex]

[tex]\implies y=12x[/tex]

Therefore, Agency A pays a rate of $12 per hour.

Agency B

From inspection, the function is a straight line.

Therefore we can use the straight line equation [tex]y = mx + b[/tex],

where m is the slope and b is the y-intercept.

From inspection, we can see that the line crosses the y-axis at (0,20).  Therefore, the y-intercept is 20.

[tex]\implies y=mx+20[/tex]

Taking 2 points on the line and using the slope formula to find the slope m:

Let [tex](x_1,y_1)[/tex] = (0, 20)

Let [tex](x_2,y_2)[/tex] = (3, 50)

Slope formula: [tex]m=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{50-20}{3-0}=10[/tex]

Therefore, the final equation is:  [tex]y=10x+20[/tex]

Therefore, Agency B pays an initial fee of $20 plus a rate of $10 per hour.