Find two numbers if their difference is 90, and their ratio is 5:8.

Answer: We the People of the United States, in Order to form a more perfect Union, establish Justice, insure domestic Tranquility, provide for the common defense, promote the general Welfare, and secure the Blessings of Liberty to ourselves and our Posterity, do ordain and establish this Constitution for the United States

Step-by-step explanation:

Answer:

a = 2  

b = 4

Step-by-step explanation:

4x² - y² = 16  

General equation for a horizontal hyperbola:  

(x-h)²/a² - (y-k)²/b² = 1  

with center (h,k)  & vertices (h±a,k)  

Divide by the constant  

4x²/16 - y²/16 = 1  

x²/4 - y²/16 = 1  

x²/2² - y²/4² = 1  

center (h,k) = (0,0)  

a = 2  

b = 4

Answer:

a = 2  

b = 4

Hope this helps you

Answer:

option-B

Step-by-step explanation:

we are given

<H and <X are supplementary angles

so,

<H+<X=180

we know that

<H and <E are vertically opposite angles

so, they must be equal

<H=<E

we can plug it

<E+<X=180

It means that angle(E) and angle(X) are supplementary angles

and these two angles are same side interior angles

By using same side interior angles converse

so, line(l) and line(n) must be parallel

so, option-B

Answer:

Option (B) is correct

Step-by-step explanation:

∠H and ∠X are supplementary as given, ∠H + ∠X = 180

And, ∠H = ∠E ( Vertical opposite angles are equal )

So, by substitution ∠E + ∠X = 180  

So, the sum of same side interior angles ∠E and ∠X is 180 therefore, by using converse of same-side Interior angles theorem we get  l║m.

The correct option is B

Question

3/5 of students at a school are boys. If there are 2420 students at the school, how many are girls?

Answer:

Step-by-step explanation:

if 3/5 are boys 2/5 are girls (5 - 3/5 = 2/5)

so 2420 * 2/5 = 968 girls

Answer: 968 girls in the school.

Step-by-step explanation:

you just multiply 3/5 by 2420 and you get how many boys are in  the school, 1452. then subtract 2420- 1452 and get 968. Hope this helped :)

Answer:3600

Step-by-step explanation:

Answer:

A. The cost of a bracelet without any charm is $25

Step-by-step explanation:

The initial value, or the value when x=0 is the cost of the bracelet when the number of charms is 0.

Answer:

The answer is A

Step-by-step explanation:

for one I took the test

two because as the addition of a charm grows so does the price (by 15$) But the *initial* value of a bracelet with no charms is 25$.

Answer: the price of shares is never mentioned  

the number of shares bought for each customer (what customers? does customer = client?) .... bought for each client is what you're solving for  

so C. number of shares remaining to be sold  

if 95,000 shares available before sale, 75,000 after, 20,000 were sold.  

20,000 shared among 250 people is 80 shares each.

Answer:

C. the number of shares remaining after the stockbroker buys shares for her customers

Step-by-step explanation:

Here Most important variable is asked, So Option (C) is the best choice. It is the most important variable for finding the number of shares the company has left.

Option (A) can't be chosen because it is comparatively less important than option (C).

Option (B) never can be an important variable since the price of shares is not given.

Also, The number of shares the company has left after stockbroker's purchase = 95000 - 150×250 = 57500.

Answer:

slope = [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y-intercept )

y = [tex]\frac{2}{3}[/tex] x is in this form

with slope m = [tex]\frac{2}{3}[/tex] and c = 0

[tex]\left\{\begin{array}{ccc}-x+5y=20\\12y=2x+60&\text{subtract 2x from both sides}\end{array}\right\\\left\{\begin{array}{ccc}-x+5y=20\\-2x+12y=60&\text{divide both sides by (-2)}\end{array}\right\\\underline{+\left\{\begin{array}{ccc}-x+5y=20\\x-6y=-30\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad-y=-10\to\boxed{y=10}\\\\\text{Put the value of y to the second equation:}\\\\x-6(10)=-30\\x-60=-30\qquad\text{add 60 to both sides}\\\boxed{x=30}\\\\Answer:\ \boxed{x=30\ and\ y=10\to(30,\ 10)}[/tex]

Answer: The scale factor of the dilation is C. 5/2

Step-by-step explanation:

Answer:

There are no solutions.

Step-by-step explanation:

Nothing can be done further.

The given system of equations has exactly one solution for x =1 that is y = 4.

What is the system of linear equation ?

A system of linear equation is a group of one or more linear equations which can be solved by using a simultaneous equation.

The system of equations given is :

y = 5x - 1        ---- -- ---- ---- ---- ---- ---- ---- ---- ---- Equation 1

y  = -3x + 7     ---- -- ---- ---- ---- ---- ---- ---- ---- ---- Equation 2

Solving the system of equation by subtracting equation 2 from equation 1.

y - y = (5x + 3x) + (-1 - 7)

0 = 8x - 8

x = 1

So , for x = 1 , we have values of y as :

y = 4

and

y = 4

So, the system of equation has one value for x = 1 that is y = 4.

Therefore , the given system of equations has exactly one solution for x =1 that is y = 4.

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Answer: 90 people

Step-by-step explanation:

3 ladles per person = 150 people x 3

= 450 ladles full

450 ladles full = 5 ladles per one person = 450/5 = 90 people

Answer:

[tex]-13a+22[/tex]

Step-by-step explanation:

we have

[tex]2(a+5)-3(5a-4)[/tex]

step 1

Apply the distributive property  both terms

[tex]2a+2(5)-3(5a)+3(4)[/tex]

[tex]2a+10-15a+12[/tex]

step 2

Combine like terms

[tex](2a-15a)+(10+12)[/tex]

[tex](-13a)+(22)[/tex]

[tex]-13a+22[/tex]

Answer: Student A did not correctly solve the equation because they subtracted 3c to 5c instead of added.

Step-by-step explanation:

Step 1: Isolate the absolute value expression.

Step 2: Set the quantity inside the absolute value notation equal to + and - the quantity on the other side of the equation.

Step 3:Solve for the unknown in both equations.

Step 4:Check your answer analytically or graphically.

I hope this helps!

Final answer:

In mathematics, solving absolute value problems involves finding the value of an unknown variable within the absolute value expression. Here is a step-by-step process to solve an absolute value problem: Isolate the absolute value expression, remove the absolute value bars, solve the resulting equations, and check the solution. For example, to solve the equation |2x - 3| = 5, isolate the absolute value, solve for x, and check the solutions.

Explanation:

In mathematics, solving absolute value problems involves finding the value of an unknown variable within the absolute value expression.

Here is a step-by-step process to solve an absolute value problem:

Isolate the absolute value expression on one side of the equation.

Remove the absolute value bars by considering both positive and negative cases.

Solve the resulting equations to find the values of the variable.

Check the solution to ensure it is valid by substituting it back into the original equation.

For example, to solve the absolute value equation |2x - 3| = 5, we isolate the absolute value by moving the constant term to the other side: 2x - 3 = 5 and 2x - 3 = -5. Then we solve both equations separately to find the values of x: x = 4 and x = -1. Finally, we check the solutions by substituting them back into the original equation to ensure they satisfy the equation.

Answer:

see below    PLEASE GIVE BRAINLIEST

Step-by-step explanation:

Aiden's father will be 61 in 5 years:

61 - 5 = 56

Since Aiden is 1/7 of his father's age just divide his father's age by 7:

56 ÷ 7 = 8     Aiden is currently 8 years old.

Aiden                 his father                         is he 1/5 his fathers age

9                           57                                   9 x 5 = 45  NO

10                          58                                  10 x 5 = 50  NO

11                            59                                  11 x 5 = 55   NO

12                            60                                 12 x 5 = 60  YES

Aiden is 1/7 of his father's current age, and his father is currently 56. Given that we want Aiden's age to be 1/5 of his father's, the number of years that would need to pass is 14 years.

Firstly, let's determine Aiden's current age and his father’s current age. We know that Aiden's age is 1/7 of his father’s age, and that his father will be 61 in five years, meaning that his father is currently 56. Thus, Aiden, being 1/7 of his father’s age, is 8 years old.

Let's denote the number of years that we are looking for as 'x'. In 'x' years, Aiden will be 8+x years old, and his father will be 56+x. For Aiden’s age to be 1/5 of his father’s age, the following must be true: (8+x) = 1/5*(56+x). Solving this equation gives us x = 14. Therefore, in 14 years, Aiden's age will be 1/5 of his father's age.

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Answer: Choice D) ordered pair is not a solution to the second equation

We can see this by replacing x and y with 1 and -4 respectively

2x + y = 4

2*1 + y = 4 .... replace x with 1

2*1 + (-4) = 4 ... replace y with -4

2 - 4 = 4

-2 = 4 .... this equation is false because -2 and 4 are different values

The last equation being false means that the original equation 2x+y = 4 is also false when (x,y) = (1,-4). Therefore, this ordered pair is not a solution to the second equation 2x+y = 4

A solution to the system must make BOTH equations true simultaneously, not just one.

Answer:

D

Step-by-step explanation:

2x + y = 4

If you substitute x = 1, and y = -4, then

2(1) - 4 = 2 - 4 = -2  not 4

Answer:

Step-by-step explanation:

The awnser is -279936

Answer:

6^7 = 279936

Step-by-step explanation:

(-6) ^ 2  * (6) ^5

We can take the negative outside

(-1) ^2 (6)^2  (6)^5

When the base is the same, we can add the exponents

(-1)^2 * 6^ (2+5)

(-1)^2 6^7

Negative 1 squared is (-1)*(-1) = 1

6^7

279936

Answer: 10 dessert bowls.

Step-by-step explanation:

To solve this problem you must apply the proccedure shown below:

1. Rewrite 1 1/4 ounces as a fraction:

[tex](4+1)/4=\frac{5}{4}[/tex]

2. You must add 5/4 ounces of strawberry preserve and 7/8 ounce of strawberry preserve, as following:

[tex]\frac{5}{4}ounces+\frac{7}{8}ounces=\frac{17}{8}ounces[/tex]

3. Now you must divide the result obtained by 1/5:

[tex]\frac{17}{8}[/tex]÷[tex]\frac{1}{5}=10.62[/tex]

4. Therefore, you can conclude that 10 dessert bowls can be completely fill.

Answer: $0.58

Step-by-step explanation:

Let x represent pencil and y represent eraser

10x + 7y = 4.23   →   1(10x + 7y = 4.23)   →   10x + 7y =  4.23

3x  + y  = 0.95   →  -3(3x  + y  = 0.95)   →   -21x - 7y = -6.65

                                                                    -11x         = -2.42

                                                                  ÷-11             ÷-11      

                                                                         x        = 0.22  

      3x + y = 0.95

3(0.22) + y = 0.95

   0.66 + y = 0.95

               y = 0.29

2y = 2(0.29)  = 0.58

Hello from MrBillDoesMath!

Answer:

"He plans to sell the carrots for $5 per bunch..."  is not needed

Discussion:

The question asked is "About how many bunches will the farmer make?   The text "He plans to sell the carrots for $5 per bunch..." is not needed as it does not relate to the question asked.

Regards,  

MrB

Answer:

He plans to sell the carrots for $5 per bunch is not needed and around 313 bunches can be made

Step-by-step explanation:

Answer:

There are 10 wizards in the magic club.

Step-by-step explanation:

if 6/5 (or 20% more) is how many goblins in comparison to wizards, there are 120/6 or 20=1/5. 5/5 is how many wizards there are so: 5*20=100 wizards

[tex]6d-7>11[/tex]             add 7 to both sides

[tex]6d>18[/tex]       divide both sides by 6

[tex]d>3[/tex]

Answer:

option-B

Step-by-step explanation:

we are given system of inequality as

[tex]y\leq x^2-4[/tex]

[tex]y>2x-1[/tex]

now, we can check solution

At (0,0):

we can plug x=0 and y=0

and check inequality

[tex]0\leq 0^2-4[/tex]

[tex]0\leq -4[/tex]

so, this is FALSE

now, we can check second inequality

[tex]0>2\times 0-1[/tex]

[tex]0>-1[/tex]

So, this is TRUE

so, option-B

Answer: Hello mate!

we want to know if the pair (0,0) is a solution for the system, where the usual notation for a pair is (x,y), and the system is:

y ≤ x^2 - 4

y > 2x - 1

The first step is replacing the numbers in the system by the numbers in the pair, and look if the pair is a solution or not.

the first inequality gets:

y ≤ x^2 - 4

0 ≤ 0^2 - 4

0 ≤ - 4

This is false, so (0,0) is not a solution for this inequality.

Now let's see the second one:

y > 2x - 1

0 > 2*0 - 1

0 > -1

This is true, then the pair (0,0) is a solution for this inequality.

then the answer is the option B, the pair (0,0) is not a solution for the system, satisfies y > 2x - 1 but does not satisfy y ≤ x^2 - 4.

Answer:

y =5x

Step-by-step explanation:

k = y/x  is the ratio for proportional relationships

k = 10/2

k = 5

Rewriting this equation

y= kx

y =5x

Answer: y=5x

Step-by-step explanation:

2x5=10

4x5=20

Answer:

See picture.

Step-by-step explanation:

There you go.

The mathematical expression for the given phrase "the difference of 3ab and 7bc" is 3ab - 7bc

To translate the phrase "the difference of 3ab and 7bc" into a mathematical expression, we can use the subtraction operation, which is denoted by the "-" symbol.

The difference between two terms is the result of subtracting one term from the other. In this case, we have two terms: 3ab and 7bc. To find the difference between them, we need to subtract one from the other.

The phrase "the difference of 3ab and 7bc" can be written mathematically as: 3ab - 7bc

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Final answer:

To multiply 273 by 346 using the standard algorithm, follow these steps and the result is 94,608.

Explanation:

To multiply 273 by 346 using the standard algorithm, follow these steps:

Multiply the units' digits: 3 * 6 = 18. Write down the 8 and carry over the 1.

Multiply the tens' digits: 7 * 4 = 28. Add the carried-over 1: 28 + 1 = 29. Write down the 9 and carry over the 2.

Multiply the hundreds' digits: 2 * 3 = 6. Add the carried-over 2: 6 + 2 = 8.

Write down the result in the correct place value: 8 (hundreds), 9 (tens), 8 (units).

So, 273 multiplied by 346 gives us 94,608.