Solve the system of equations.
– 3y + 5x = 26
- 2 - 5x = -16

Answer:

The number line that shows x > 8

Step-by-step explanation:

First, subtract 15 from both sides

15 + 2x -15 > 31

2x > 16

Then divide both sides by 2

2x ÷ 2 > 16 ÷ 2

x > 8

The answer is:

x > 8

Work/explanation:

To solve this inequality, we need to isolate x.

So first, I subtract 15 on each side:

[tex]\sf{2x > 31-15}[/tex]

[tex]\sf{2x > 16}[/tex]

Now, divide each side by 2:

[tex]\sf{x > 8}[/tex]

The growth in Nora's salary illustrates a geometric progression

The total amount earned over the 21 years is $1147059

The given parameters are:

Initial salary, a = 40000

Rate, r = 1 + 3% = 1.03

Number of years = 21

The sum of n terms of a geometric progression is represented as:

Sn = a((r^n) - 1)/(r - 1)

So, we have:

S21 = 40000 * ((1.03^21) - 1)/(1.03 - 1)

Evaluate

S21 = 1147059

Hence, the total amount earned is $1147059

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Step-by-step explanation:

so <A=<B

Hope it helps

for any question comment me ❤❤❤

A number line is a representation of a graded straight line. The value that is farthest from 2 is √2.1.

A number line is a representation of a graded straight line that serves as an abstraction for real numbers, which are indicated by the symbol 'R'. A real number is considered to correspond to every point on a number line, and a point to every real number.

On the number line, positive numbers are on the right side of the number line while negative numbers are on the left side of the number line. Now, the value of all the given options can be written as,

[tex]\sqrt{2.1}=1.45 \\\\\sqrt{2.4}=1.55\\\\\sqrt{2.5}=1.58\\\\\sqrt{2.9}=1.7[/tex]

As we can see that the approximate value of the square root values is written above the value that is farthest from 2 is 1.45.

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Answer:

n/4

Step-by-step explanation:

So

Option B

Answer:

B(x=4,x=5)

Step-by-step explanation:

Here,

[tex]x^{2} -9x+20=0[/tex]

We can find the value of x by various methods.

Method 1

By using formula

x=-b±√b²-4ac/2a

For ax²+bx+c=0

Here,

a=1, b=9, c=20

Putting the values.

x=-b±√b²-4ac/2a

x=-(-9)±√9²-4×1×20/2×1

Taking positive one.

[tex]x=\frac{-(-9)+ \sqrt{81-80} }{2} \\\\x=\frac{9+1}{2} \\\\x=5[/tex]

Taking negative one.

[tex]x=\frac{-(-9)- \sqrt{81-80} }{2} \\\\x=\frac{9-1}{2} \\\\x=4[/tex]

x=5,x=4

Method 2

[tex]\hookrightarrow x^{2} -9x+20=0\\\\\hookrightarrow x^{2}-4x-5x+20=0\\\\\hookrightarrow x(x-4)-5(x-4)=0\\\\\hookrightarrow (x-5)(x-4)=0[/tex]

x-5=0....I

x-4=0.....II

Solving equation I

x-5=0

x=5

Solving equation II

x-4=0

x=4

Answer:

x<−5

Step-by-step explanation:

Let's solve your inequality step-by-step.

−4x+10>5x+55

Step 1: Subtract 5x from both sides.

−4x+10−5x>5x+55−5x

−9x+10>55

Step 2: Subtract 10 from both sides.

−9x+10−10>55−10

−9x>45

Step 3: Divide both sides by -9.

−9x

−9

>

45

−9

x<−5

Answer:

Domain: All real Numbers or (infinity, Infinity)

Range: All real Numbers or (infinity, Infinity)

Step-by-step explanation:

I am assuming the equation is F(x) = [tex]\sqrt{x} ^2[/tex]

Lewis has to pay $260 more to have his electricity and cable turned on because of his bankruptcy.

Bankruptcy is a legal proceeding involving a person or business that is unable to repay its outstanding debts.

Had Lewis not filed bankruptcy, he would have paid = 90+50+65+75

He would have paid (let us say amount A)= $280

After filing for bankruptcy he has to pay = 205+75+150+110

He has to pay (let us say amount B)= $540

Difference between amount A and amount B = $540-$280

Difference between amount A and amount B = $260

Therefore, Lewis has to pay $260 more to have his electricity and cable turned on because of his bankruptcy.

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Answer:

x=-2.951373070

Step-by-Step Explanation

Answer:

7 times $8 = 56

Step-by-step explanation:

Question 1:

So, we are going to multiply 7 by $8.

If Brandie earns 8 dollars an hour, then we can multiply 8 by 7 to find out how much money Brandie earns in 7 hours.

Now multiply 8 by 7.

8 * 7 = 56

The independent variable is the hours. The hours can change, but this affects what the dependent result is.

The amount of money stays the same.

The dependent variable is the result, which is the total amount of money earned.

Hope this helps!

Answer:

40

Step-by-step explanation:

4•10(10 answers at 4 people)

Answer:

$95

Step-by-step explanation:

Step one: Multiply the number of shirts and cost of the shirt. Which is $45.

Step two: Add the shipping fee ($50) to $45

Step three: After adding those you should get $95 as your answer.

*Sorry if I'm incorrect*

Answer:

578.5

Step-by-step explanation:

89*6.5

The triangle is an equilateral triangle, therefore, Diego didn't draw the right triangle.

A triangle simply means a polygon that has three edges and vertices. It's a shape in geometry.

In this case, I don't agree with Diego's drawing as the triangle is an equilateral triangle and this means that each side is 60° and not 45° as illustrated.

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20 x 1/10 have salads = 2 students

and

20 x 2/5 have sandwiches = 8 students

so 10 students are eating lunches other than salads or sandwiches

(20 - 2 - 8)

or 1/10 + 2/5 = 1/10 + 4/10 = 5/10 have salad and sandwich

so 5/10 have no salad no sandwich

and 5/10 x 20 = 10

Answer:

5/10, or 1/2

Step-by-step explanation:

2/5 = 4/10

4/10 + 1/10 = 5/10

10/10 - 5/10 = 5/10

Simplified, 1/2

pls mark brainlnst

Answer:

A-$1.65

Step-by-step explanation:

You multiply 1.25 by 4 because each brother bought a bag of chips. Then you subtract that by the total and get $13.20 you divide that by 8 hot dog because each brother got 2 hot dogs. By dividing 8 by the  left over amount from subtracting the chips you get how much each hot dog is worth.

Answer:

No, because the you have two of the same inputs.

Answer:

2920

Step-by-step explanation:

Answer:

I think 24 weeks that's my answer

The gas mileage of the trucks is the number of miles traveled per gallon of gas

The truck that has the best gas mileage is (b) Truck A, because for every gallon the truck goes 19 miles.

As stated above, gas mileage measures the miles traveled by one gallon of gas.

This means that options (a) and (c) cannot be true, because these options measure the number of gallons used per mile

From the complete question, truck A uses 1 gallon for 19 miles, while truck B uses 1 gallon for 18 miles.

19 miles per gallon is greater than 19 miles per gallon

This means that truck A has the greater mileage

Hence, option (B) is true

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Answer: See attached images

Step-by-step explanation:

For third period:

Minimum = 67

1st Quartile: 79.5

Median/2nd Quartile: 85

3rd Quartile: 90.5

Maximum = 99

I've attached the image for this class's box plot.

For Sixth Period:

Minimum = 70

1st Quartile: 79.5

Median/2nd Quartile: 88

3rd Quartile: 90.5

Maximum = 95

I've also attached the image for this class's box plot

The equation that shows the relationship between the number of cups and pints is c = 2p.

An equation is an expression used to show the relationship between two or more variables and numbers.

Let c represent the number of cups and p represent the number of pints. There are 2 cups in 1 pint. Hence:

c = 2p

When p = 2; c = 2(2) = 4

When p = 3; c = 2(3) = 6

The equation that shows the relationship between the number of cups and pints is c = 2p.

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Answer:

What is an equation?

An equation is an expression used to show the relationship between two or more variables and numbers.

Let c represent the number of cups and p represent the number of pints. There are 2 cups in 1 pint. Hence:

c = 2p

When p = 2; c = 2(2) = 4

When p = 3; c = 2(3) = 6

The equation that shows the relationship between the number of cups and pints is c = 2p.

Answer/Step-by-step explanation:

Given that a student wrote the following equation:

[tex] 2(n + 3) = 2n + 3 [/tex]

Looking at the expression on both sides, they don't seem equal. To be sure, use any value to represent "n" in the equation. Then, simply. If what you have on your left is equal to what you have in your right, then the equation is TRUE. If otherwise, it is FALSE.

Let n = 2

[tex] 2(n + 3) = 2n + 3 [/tex]

[tex] 2n + 6 = 2n + 3 [/tex]

Plug in the value of n

[tex] 2(2) + 6 = 2(2) + 3 [/tex]

[tex] 4 + 6 = 4 + 3 [/tex]

[tex] 10 = 7 [/tex]

This is not FALSE. 10 ≠ 7.

Therefore, the equation written by the student is FALSE.

Answer:

3 times a number:

3x

Reduced by 10 means we subtract 10:

3x - 10

7 times this quantity:

7(3x - 10)

Therefore, your answer is 7(3x - 10).

☆Hoepfully this helps!!

Answer:

Step-by-step explanation:

You would be required to use a change in subject of formula method.

You then make H the subject of formula

πH/3 (R2 + Rr + r2)

the you make H the subject of the formula

Answer:

slope

5/2

y-inter

-10

The slope of the graph of the equation of the line as 5x - 2y = 20 will be [m] = 5/2

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

The equation of a straight line can be also written as -

Ax + By + C = 0

By = - Ax - C

y = (- A/B)x - (C/A)

Given is the equation of the line as 5x - 2y = 20.

We have the equation of the line as -

5x - 2y = 20

2y = 5x - 20

y = (5/2)x - 10

[m] = 5/2

Therefore, the slope of the graph of the equation of the line as 5x - 2y = 20 will be [m] = 5/2

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Answer:

1/5+1/5=2/5

Step-by-step explanation:

firstly add red and white marble

Answer: D. Subtraction property of equality

Step-by-step explanation:

They are subtracting 6 from both sides of the equality.

Answer:

2160

Step-by-step explanation:

18/4= 4.5

480km * 4.5= 2160

Answer:

2160

Step-by-step explanation: