If a^2-b^2=648 and (a-b)=24, what is the value of (a+b)

F.21
G.24
H.25
J.26
K.27

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.

down six over two im not sure though

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:



angle = 37°

complementary angles have a sum of 90°

the angle whose complement is 53° = 90° - 53° = 37°

Answer:

x= In4/3

Step-by-step explanation: other answer

We are given : g(x) = 5x + 2.

y = 1 x

h = x^2

r(x) = x

f/x = x^5 - 3

b(x) = 1/2 x^3

p/x = -7x

k(x) = - 3 x + 1

y = mx + b

fx = -x^3 + 4

Note: Function is written in the from of f(x) and read as function f of x.

There could be any letter used for function, like h(x), g(x), k(x).

Therefore, in the given options the following are in function notations only:

g(x) = 5x + 2.

r(x) = x

b(x) = 1/2 x^3

k(x) = - 3 x + 1.

Answer:

g(x) = 5x + 2.

r(x) = x

b(x) = 1/2 x^3

k(x) = - 3 x + 1.

Step-by-step explanation:

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

[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]

To complete the proof given 3x+7=x-5, we need to find the value of x that satisfies the equation. The statement that completes the proof is x = -6.

To complete the proof given 3x+7=x-5, we need to find the value of x that satisfies the equation. Let's solve for x:

The statement that completes the proof is: x = -6.

If Chris ran 2.5 laps in 81 seconds,

his average time per lap would be  81/2.5 ,

that is 32.4 seconds.

The two sets of consecutive integers that multiply to 182 are (13, 14) and (-13, -14). First, find the factors of 182 then identify which pairs of these factors are consecutive.

The problem at hand is finding two pairs of integers that multiply to 182. Since the integers are consecutive, we can use a knowledge of factors to solve this. The pairs (13, 14) and (-13, -14) meet this criteria of consecutive integers that multiply together to give a product of 182. Here is the step-by-step explanation:

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all together they raised $860.81

The 3 classes raised 1109.81.

In order to find this we need to start with information we know.

Moore's class: 249

Now we know Aguilar's class is Moore's class + 396.62

Moore + 396.62

249 + 396.62 = 645.62

And we know that Barry's class is Aguilar's class - 430.43

Aguilar - 430.43

645.62 - 430.43 = 215.19

Now we can add all 3 numbers together to get the final answer.

249 + 645.62 + 215.19 = 1109.81

The 5 in 756 is in the tens place meaning that it equals to 50.  That would mean that it is 5 groups of 10

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

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.

Answer: 4.5 minutes.

Step-by-step explanation:

1. You have the following information given in the problem above:

- Erica runs [tex]\frac{1}{6}km[/tex] in a minute.

- The school is [tex]\frac{3}{4}km[/tex] away from her home.

2. Therefore, to solve the exercise you must multiply [tex]\frac{3}{4}km=0.75km[/tex] by 1 minute and divide this by  [tex]\frac{1}{6}km=0.166km[/tex], as following:

[tex]x=\frac{(0.75km)(1min)}{(0.166km)}\\x=4.5min[/tex]

3. Therefore, the result is 4.5 minutes.

Answer:

4.5

Step-by-step explanation:

the square root of 2.4² +.7² is 2.89

This is simple subtraction.

Jimmy has 209,835 stamps and gives away 38,998 stamps.

this leaves Poor Jimmy with only 170,837 stamps

The first way is to cross multiply

4/5 = 28/x

4x = 5*28

4x = 140

4x/4 = 140/4

x = 35 which is the answer

=============================================

The second method is to note the denominators 4 and 28, and to ask yourself "what times 4 gets me 28?". The answer being 7, so 7*4 = 28. If you multiply top and bottom of the fraction 4/5 by 7, then you end up with 7*4 = 28 up top and 7*5 = 35 down below. This is another way of seeing how 4/5 = 28/35

Either way, the answer is x = 35

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

x = 20

Answer: 20

$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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You can answer this like any other equation.

First, subtract 11 from both sides.  The equation becomes [tex]-15\leq -3x[/tex].

Next, you have to divide both sides by -3.  HOWEVER, when you multiply or (in this case) divide by a negative number in an inequality equation, you must flip the sign.  So the answer becomes [tex]5\geq x[/tex].

The solution for the given inequality is x≤5. Therefore, option B is the correct answer.

The given inequality is −4≤11−3x.

We need to solve the given inequality for x.

Use addition, subtraction, multiplication, and division to move the variable to one side and isolate it. Once you have isolated the variable, you have solved the inequality. Reverse the inequality sign whenever you multiply or divide by a negative number.

Now, for the inequality −4≤11−3x add 3x on both sides.

That is, -4+3x≤11

Add 4 on both sides of the obtained result.

That is, -4+3x+4≤11+4

⇒3x≤15

⇒x≤5

The solution for the given inequality is x≤5. Therefore, option B is the correct answer.

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Step 1: Simplify both sides of the equation.

−23(3x−4)+3x=56

(−23)(3x)+(−23)(−4)+3x=56(Distribute)

−69x+92+3x=56

(−69x+3x)+(92)=56(Combine Like Terms)

−66x+92=56

−66x+92=56

Step 2: Subtract 92 from both sides.

−66x+92−92=56−92

−66x=−36

Step 3: Divide both sides by -66.

−66x  /-66= -36/-66

x= 6/11

Final answer:

To solve the equation -23(3x-4)+3x=56, distribute the -23, combine like terms, and solve for x, resulting in x=6/11 or approximately 0.5455.

Explanation:

To solve the equation −23(3x−4)+3x=56, we need to distribute the -23 inside the parentheses and then combine like terms.

First, distribute:

Then, combine like terms:

Finally, divide both sides by -66 to solve for x:

The solution is x = 6/11. It is important to note that we cannot verify this solution with the information provided about identities or other equations because they do not pertain directly to this problem. To check our result, substituting x back into the original equation should yield a true statement.

It would be 25% because how to make dollar .25 .50 .75 1.00