What ordered pair is a solution of the system of equations y=x^2-x-20 and y=3x-15?

Answer:

Car A traveled at 55 mph.

Step-by-step explanation:

Suppose, the speed of Car A is  [tex]x[/tex] mph.

As Car B traveled 22 mph faster than Car A , so the speed of Car B will be: [tex](x+22) mph[/tex]

Given that, Car A traveled the distance in 2.4 hours and Car B traveled the distance in 4 hours.

As,  [tex]Distance= Speed*Time[/tex]

So, the distance traveled by Car A [tex]=2.4x[/tex] miles

and the distance traveled by Car B [tex]=4(x+22)[/tex] miles

Given that, two cars traveled equal distances. So, the equation will be......

[tex]2.4x=4(x+22)\\ \\ 2.4x=4x+88\\ \\ 2.4x-4x=52.8\\ \\ -1.6x=52.8\\ \\ x=\frac{52.8}{-1.6}=-33[/tex]

Thus, the speed of Car A will be -33 mph.

Answer:

The speed of Car A = -55 km/h

Step-by-step explanation:

Given, Time taken by Car A = 2.4 hour

and Time taken by Car B = 4 hour

Also, Car B traveled 22 mph faster than Car A

Let the speed of Car A = x km/h

Then the speed of Car B = (x + 22) km/h

As we know that Distance = Speed × Time

⇒ Distance of Car A = 2.4 × x = 2.4x km

and Distance of Car B = 4 × (x + 22) = 4(x + 22) km

Also it is given that distance traveled by both the car is same.

⇒ 2.4x = 4(x + 22)

⇒ 2.4x = 4x + 88

⇒ 2.4x - 4x = 88

⇒ -1.6x = 88

⇒ x = -55

Thus, the speed of Car A = -55 km/h

and, the speed of Car B = -55 + 22 = -33km/h

x-3y=7    2x-6y=12

You can multiply -2 in the first equation like this.

x+6y=7

2x-6y=12

Now you can eliminate 6y and -6y so cross them out and do x-2 which is -1 and 7-12 which is -5 -1/-5 would be .2

Using the distributive property, the rewritten form of (3x6) - (3x3) is 3(x6 - x3), factoring out the common factor of 3.

To rewrite (3x6) - (3x3) using the distributive property, we need to factor out the common factor, in this case 3, from both terms. The distributive property states that a(b + c) = ab + ac. Applying this to our expression, we get:

3(x6 - x3).

Here, we simply factored out the 3 from both terms, leaving us with (x6 - x3) enclosed in parentheses.

It's a line in form y = mx.

Two points:

(0, 0) and (1, 4)

The formula of a slope:

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

Substitute:

[tex]m=\dfrac{1-0}{4-0}=\dfrac{1}{4}[/tex]

Answer: [tex]y=\dfrac{1}{4}x[/tex]

Answer:

n ≤ 9

Step-by-step explanation:

Step 1: Simplify both sides of the inequality

1/3n ≤ 3

Step 2: Multiply both sides by

3* (1/3n) ≤ (3)*(3)

n ≤ 9

Hope this helps :-)

The answer is 0.31.

Change the percentage sign into a decimal and then move it two places to the left. Then add a zero in front of the decimal.

Hope this helps. =)

Gotcha!

If you put 31/100  and divide it you would get 0.31

Answer:0.31

Tip: if you need to find the decimal of a number just simply place it over 100 & divide!

$29 times 3 is $87

$112-$87 = $25

52-25= 35

The customer paid $35 for the first light fixture. I think.

The cost of the first light fixture is $27.

Given that, a customer returned a light fixture to the store in exchange for a $52 light fixture and three gallons of paint at $29 each.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the cost of first light fixture be x.

Now, x=52+3×29 - 112

=52+87 - 112

= 139 - 112

= 27

Therefore, the cost of the first light fixture is $27.

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Answer:

What what the answer

Step-by-step explanation:

cause i neeed it ;~;

Your fraction is in a mixed number. But if you wanted an improper fraction it would be 17/3 in simplest form.

Answer:

We need to add 7 pounds of $9.5 premium coffee to make a blend of coffee that $10.

Step-by-step explanation:

Lets take the amount of $9.50 coffee added was [tex]x[/tex] pounds.

The requirement is that the value of 1 pound of resulting mixture of coffee to be $10.

We can use the weighted average value to find the value of the resulting mixture.

⇒[tex]\frac{(9.5*x)+(11.75*2)}{(x+2)} =10[/tex]

=[tex](9.5*x)+(23.5)=10(x+2)[/tex]

=[tex]9.5x+23.5=10x+20[/tex]

=[tex]3.5=0.5x[/tex]

=[tex]x=7[/tex]

So we need to add 7 pounds of $9.5 premium coffee to make a blend of coffee that $10.

7 pounds of premium coffee at $9.50 per pound should be mixed with 2 pounds of supreme coffee at $11.75 per pound to create a blend that costs $10.00 per pound. An equation is set up and solved to find the amount of premium coffee needed.

The student is asking how many pounds of premium coffee beans at $9.50 per pound should be mixed with 2 pounds of supreme coffee costing $11.75 per pound to create a coffee blend that costs $10.00 per pound. To solve this, we can set up an equation to represent the total cost of the coffee before and after mixing.

Let x be the number of pounds of premium coffee that we want to find. The cost for the premium coffee will then be x times $9.50. For the supreme coffee, we have 2 pounds at $11.75 per pound which gives us a total cost of $23.50. For the blend, we want the total pounds of coffee, which is x + 2 pounds, to be multiplied by the target price of $10.00 per pound.

The equation that represents the price point of the mixture is:

9.50x + 23.50 = 10.00(x + 2)

To find x, we solve the equation by distributing the $10.00 across x + 2 and moving all terms involving x to one side to isolate the variable:

9.50x + 23.50 = 10.00x + 20.00

Subtracting 9.50x from both sides:

23.50 = 0.50x + 20.00

Subtracting 20.00 from both sides gives us:

3.50 = 0.50x

Dividing both sides by 0.50 gives us the result:

x = 7 pounds

Therefore, 7 pounds of premium coffee at $9.50 per pound should be mixed with 2 pounds of supreme coffee at $11.75 per pound to obtain a blend that costs $10.00 per pound.

[tex]\dfrac{2}{7k}(k-7)\qquad|\text{use distributive property}\\\\=\left(\dfrac{2}{7k}\right)(k)-\left(\dfrac{2}{7k}\right)(7)=\dfrac{2}{7}-\dfrac{2}{k}[/tex]

Let x represent the number of ounces of vinegar

Let y represent the number of ounces of lemon juice

Oil required = 8 oz

Container can hold = 16 oz

So the inequality equation will be :

[tex]x+y+8\geq16[/tex]

Answer:

This is the right answer ♡ hope it helps ;)

Step-by-step explanation:



If x = -6

Plug in -6 for x

f(x) = 3x + 4

f(-6) = 3(-6) + 4

Remember to follow PEMDAS. First, multiply

3 x -6 = -18

Finally, add

-18 + 4 = -14

f(-6) = -14

f(-6) = -14 is your answer

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~Rise Above the Ordinary, Senpai

first function is f(x)= x+4

We make  a table, plug in some numbers for x  and find out y

x      y= x+4

-4       0

3         7

Then graph the table using points (-4,0)  and (3,7)

Second function is f(x)= 2x - 1

We make  a table, plug in some numbers for x  and find out y

x      y= 2x - 1

3         5

6         11

Then graph the table using points (3,5)  and (6,11)

The graph is uploaded below

you add and subtract

Some of the rules of adding and subtracting mixed numbers are:

1) Change the mixed numbers into improper fractions

2) Find common denominators. Remember that what you do to the denominator you also do to the numerator.

3) Subtract

4) Answer

hope this helps

the square root of 2.4² +.7² is 2.89

The answer is 2.9. You would round up since there is a 5

You round it up to 2.9

[tex](\sqrt[3]{x^{3} }) = 20[/tex]

x = 20

Answer: 20

You got the twenty by adding the markup price and the original price.

Refillable mug:

Fixed cost is $3.50 including 16 oz of coffee

Each additional 16 oz of coffee cost $0.50

Disposable cup:

Cost is $1.00 per 12 oz of coffee

We can build up a table showing number of purchases, cost, and amount of coffee for each type of purchase until we see the refillable cup becoming cheaper.

                Refillable Mug              Disposable cup

               Cost     Amount              Cost       Amount

1               3.50        16                    1.00                  12

2              4.00        32                   2.00                24

3              4.50         48                  3.00                 36

4              5.00         64                  4.00                 48

5              5.50         80                  5.00                 60

Notice that with 3 fill ups of the refillable cup, you have bought 48 oz of coffee for $4.50. With the disposable cup, the same 48 oz of coffee represent 4 cups, but at only $4.00, so up to the amount of 48 oz of coffee, you are better off buying the disposable cups.

When you spend $5.00, you can have 64 oz of coffee using the refillable cup or 60 oz of coffee using the disposable cup. When you spend $5.00 and up, then the refillable cup gives you the better price.

Answer: The refillable cup becomes cost effective at 64 oz.

Answer:

Y=Mx+b

Step-by-step explanation:

Yay

81 ÷ 36 = 2.25

John will use 2.25 gallons of gas to travel 81 miles

The answer is x = 15

The equation would be x + 2 = 17

The product of two more than a number and seven is thirteen when x = 13/7 - 2.

The question is asking us to find the product of two more than a number and seven, given that the result is thirteen. Let's call the number x. The expression "two more than a number" can be written as (x + 2). The equation can then be written as (x + 2) * 7 = 13. To solve for x, we divide both sides of the equation by 7, giving us x + 2 = 13/7. Subtracting 2 from both sides, we get x = 13/7 - 2.

So, the solution is x = 13/7 - 2.

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15/32 - .4688 - 11.9063

I'm sorry what are you asking for??

33. -8 belongs to:

34. 14 belongs to:

35. 9.23 belongs to:

36. [tex]1\frac{5}{9}[/tex] belongs to:

37. Zero (0) belongs to:

38. -1 belongs to:

39. 1/2 belongs to:

40. 0.3 where 3 is recurring belongs to:

number of names(p) = 4 columns * 10 inches per column * 11 names per inch * page

number of names(p) = 4*10*11*p = 440*p

The algebraic expression for the number of names in p pages is 440*p

The algebraic expression to estimate the total number of names in p pages of the telephone directory is 440p, where p represents the number of pages.

To calculate the approximate number of names in p pages of the telephone directory, we start with the given information: there are 11 names in a 1-inch column.

Since each page has four 10-inch columns, first we calculate the number of names in one column by multiplying the number of names in 1 inch by its height in inches:

11 names/inch × 10 inches = 110 names/column

Then, to find the number in 4 columns per page we multiply by 4:

110 names/column × 4 columns = 440 names/page

Finally, to find the number in p pages, we use the algebraic expression:

440 names/page × p pages = 440p

This expression can be used to estimate the total number of names in p pages of the directory.