Rewrite one of the two equations above in the form ax+by=c,where a,b,c are constants,so that the sum of the new equations and the unchanged equations from the original system results in an equation in one variable

Let losses = X

They won 13 more than 3 times as many so wins =  3X +13

Now you have wins  + loses  = total games:

X +3X + 13= 109

Combine like terms:

4x + 13 = 109

Subtract 13 from each side:

4x = 96

Divide each side by 4:

x = 96 / 4

X = 24

Wins = 3X +13

3(24) +13 = 72+13 = 85

Wins = 85 games

Losses = 24 games

the answer is -1 hope this helps

The slope of this line is -1

To find your pay for a week, multiply the total hours worked (h) by the hourly wage ($10). For example, working 40 hours would yield a total pay of $400. A $2 per hour raise increases your hourly wage to $12 and represents a 20% pay increase.

To calculate your pay if you work h hours in one week at a rate of $10 per hour, you simply multiply the number of hours worked by the hourly wage. This can be expressed in the following formula:

Total pay = Hourly wage  imes Number of hours worked

So, if you work h hours, your total pay will be:

Total pay = $10/hour  imes h hours

This means that if you work 40 hours in a week, for example, your total pay would be:

Total pay = $10/hour  imes 40 hours = $400

If your boss is impressed with your work and gives you a $2 per hour raise, your new hourly wage would be $12 per hour. The percentage change in pay in this case is 20%, calculated by dividing the raise amount by the original wage ($2/$10 = 0.20 or 20%).

Estimation is useful in calculating the total cost of items in a grocery store basket.

An example of a real-life multiplication situation where estimation makes sense is calculating the total cost of items in a grocery store basket. Let's say you have a basket with 3 apples that cost $1.50 each and 2 yogurts that cost $2.75 each. To estimate the total cost, you can round the prices to the nearest dollar and multiply: 3 x $2 + 2 x $3 = $6 + $6 = $12. This estimation gives you a rough idea of the total cost without needing to calculate exact values.

The equation for the direct variation is y = 1.2x

In order to find this, we start with the base for any direct variation equation.

y = kx.

Now we use the ordered pairs to find the value of k to model the equation.

y = kx

24 = k(20)

1.2 = k

Now that we know this, we can model the equation as y = 1.2x and test for the other values --- each of which work in the newly written equation.

Answer:

its actually 0.8x

Step-by-step explanation:

im saying this for future people

86,700,000 − 3.45 × 10^7

= 8.67 × 10^7  − 3.45 × 10^7

= (8.67 - 3.45) × 10^7

= 5.22 × 10^7

Hope it helps

By Subtracting the given expression 86,700,000 − 3.45 × [tex]10^7[/tex] we get Option b) 5.22 × [tex]10^7[/tex].

To subtract 3.45 × [tex]10^7[/tex] from 86,700,000, we need to perform a mathematical operation involving exponents.

To perform the subtraction, we start by rewriting the numbers in scientific notation form, where a number is expressed as a product of a coefficient and a power of 10.

Given expression: 86,700,000 - 3.45 × [tex]10^7[/tex]

Step 1: Rewrite 86,700,000 in scientific notation:

86,700,000 = 8.67 × [tex]10^7[/tex]

Now, the expression becomes: 8.67 × [tex]10^7[/tex] - 3.45 × [tex]10^7[/tex]

Step 2: Subtract the coefficients:

8.67 - 3.45 = 5.22

Step 3: Keep the common base (10) and subtract the exponents:

[tex]10^7[/tex] (common base) - [tex]10^7[/tex] = [tex]10^7[/tex]

Combining the coefficient and the exponent, we get the final result:

5.22 × [tex]10^7[/tex] (option b)

When we subtract numbers in scientific notation, we first need to make sure both numbers have the same exponent. In this case, we converted 86,700,000 to scientific notation as 8.67 × [tex]10^7[/tex]. Then, we subtracted the coefficients, which gave us 5.22. The exponent remains the same, which is [tex]10^7[/tex]. So, the final answer is 5.22 × [tex]10^7[/tex].

The correct option is b) 5.22 × [tex]10^7[/tex].

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Complete Question

Choose the correct answer form the given options:

Subtract. 86,700,000 − 3.45 × [tex]10^7[/tex]

a) 5.22 5.22×[tex]10^6[/tex]​

b) 5.22×[tex]10^7[/tex] ​

c)​ 5.22×[tex]10^8[/tex] ​

A perpendicular bisector must go through the midpoint of a line, in this case AB. Since Audra opened her compass to more than half way she needs to close it partially until she is on the midpoint.

Answer:

Given that Audra was drawing a perpendicular bisector of segment AB with a compass. She started with line segment AB. Then, she placed her compass point on A and opened the compass more halfway to B.

Her next step will be "Using the width of the compass from the previous step, draw two arcs to the left and right of both A and B".

Step-by-step explanation:

[tex]x^3-x^2+x-1=x^2(x-1)+1(x-1)=\boxed{(x-1)}(x^2+1)\\\\x^2-1=x^2-1^2=\boxed{(x-1)}(x+1)\\\\LCM=\boxed{(x-1)}(x^2+1)(x+1)[/tex]

[tex]Answer:\ (x+1)(x-1)(x^2+1)[/tex]

the answer is

-16

0

-4and4

(4x-1)(4x+1)

Answer:

ac= -16

b=0

[tex](4x+1)(4x-1)[/tex]

Step-by-step explanation:

[tex]16x^2 -1[/tex]

WE write the given polynomial in standard form ax^2 + bx+c

there is no x term so we include 0x

the given expression becomes

[tex]16x^2+0x-1[/tex]

The value of a= 16 , b= 0 and c=-1

[tex]ac= a*c = 16 * (-1) = -16[/tex]

The value of b = 0

Two number to multiply to get ac = -16 are 4 and -4

When we add two numbers we will get

-4 + 4= 0

using factors -4 and 4 , the expression becomes

[tex]16x^2-4x+4x-1[/tex]

[tex](16x^2-4x)+(4x-1)[/tex]

Factor out GCF

[tex]4x(4x-1)+1(4x-1)[/tex]

[tex](4x+1)(4x-1)[/tex] is the factored form

Angle A and Angle BCA are corresponding angles and equal.

Angle x and Angle BCA are VERTICAL angles and equal.

Therefore Angle A = Angle BCA = Angle x = 62 degrees.

Answer:

y=x^2+6

you need to add in the exponent

30 bass and 5 perch, so then you will bet minimal costs

It would be A since when you multiply 7 by 3 it's 21 and add 3 it gives you 24/7 but then you have to flip it so it's the first one.

Expanded form

0.200 + 0.050 + 0.003

Standard (word) form

zero and two hundred fifty three

hope that helps :)

253/1000 and 253% is the answer to your question :)

The solution to the given equation 18n - 7p - 15n = 5p for n is n = 4p. Thus, the option D is correct.

The equation is given as follows:

18n - 7p - 15n = 5p

Combine like terms by subtracting 15n from 18n:

(18n - 15n) - 7p = 5p

3n - 7p = 5p

Move the term containing n to the other side of the equation by adding 7p to both sides:

3n - 7p + 7p = 5p + 7p

3n = 12p

Solve for n by dividing both sides of the equation by 3:

(3n)/3 = (12p)/3

n = 4p

Therefore, the solution to the equation 18n - 7p - 15n = 5p for n is n = 4p.

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The slope of this line is -3/4

In order to find this, we look for two points on the line and then use the slope formula. Two points that are on the line are (0, 2) and (4, -1). Plug these into the following formula.

m (slope) = (y2 - y1)/(x2 - x1)

m = (-1 - 2)/(4 - 0)

m = -3/4

Ask google for help on that.

We can see here that the volume of the 612 g piece of aluminum is approximately 226.67 cm³.

Density is a physical property of matter that measures how much mass is contained in a given volume of a substance. In other words, it quantifies how closely packed the particles (atoms, molecules, or ions) are within a material. Density is typically expressed in units such as grams per cubic centimeter (g/cm³) in the metric system or pounds per cubic inch (lb/in³) in the imperial system.

To find the volume of a 612 g piece of aluminum, you can use the formula for density:

Density = Mass/Volume

You have the density (2.70 g/cm³) and the mass (612 g), and you want to find the volume. Rearrange the formula to solve for volume:

Volume = Mass/Density

Inputting  the values:

Volume = 612g/2.70g/cm³

​

Calculate the volume:

Volume = 612/2.70

Volume ≈ 226.67cm³

So, the volume of the 612 g piece of aluminum is approximately 226.67 cm³.

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Answer:

4.8 MILES

Step-by-step explanation:

To get the answer you change kilometres to miles by multiplying 3 by 0.6

The answer is 4.8 miles.

HOPE IT HELPED

Answer:

4.8

Step-by-step explanation:

...

5 X 4 = $ 20 $ Your answer is 20.

the answer is A. 8 1/2, hope this helps

The elevator goes 51 floors in 12¾ seconds for a rate of 4 floors per second. By multiplying this rate by 2 seconds, we find the elevator goes up 8 floors in that duration. Therefore, the answer is C. 8.

This question is a simple problem of ratios. The elevator goes up 51 floors in 12¾ seconds, which is the same as 51/12.75 floors per second. To find out how many floors it goes in 2 seconds, we simply multiply this rate by 2.

Here's the step-by-step process:

So, the elevator goes up 8 floors in 2 seconds. Therefore the answer is C. 8.

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1. Speed = 3.33333 Meters per second, 400/120=3.33333, average speed = total distance/elapsed time

2. Velocity = 3.33333 Meters, 400/120, V = distance / time

3. Acceleration = -0.222222[tex]m/s^2[/tex], acceleration = (velocity2 - velocity1) / time

acceleration = net_force / mass

Answer:

2 A. 400÷120=3.33

2 B. d/t=v

400/120=3.33 N E

3.

3.3m/s/15s=0.22m/s^2

downhill= negative slope=negative acceleration(slowing down)

The formula of a midpoint:

[tex]M_{AB}\left(\dfrac{x_A+x_B}{2},\ \dfrac{y_A+y_B}{2}\right)[/tex]

We have:

[tex]M(1.5,\ 1.5)\to x_M=1.5,\ y_M=1.5\\A(5,\ 7)\to x_A=5,\ y_A=7[/tex]

Substitute

[tex]\dfrac{5+x_B}{2}=1.5\qquad|\cdot2\\\\5+x_B=3\qquad|-5\\\\x_B=-2\\\\\dfrac{7+y_B}{2}=1.5\qquad|\cdot2\\\\7+y_B=3\qquad|-7\\\\y_B=-4[/tex]

Answer:

12a+2b

Step-by-step explanation:

Every hour, the number of liters decreases by 0.5 liter.

It takes 0.5 hour for the water to decrease by one liter. You can also tell because the line is going down showing that it is decreasing or you can subtract the X-axis

2 - 1.5 which equals 0.5.