Salazar assigns the same number of homework questions each school day. The ratio table below shows the total number of homework questions assigned after a certain number of school days.




After 16 days, how many total homework questions have been assigned?
A:60
B:80
C:95
D:115

Salazar Assigns The Same Number Of Homework Questions Each School Day. The Ratio Table Below Shows The

Answers

Answer 1

Answer:

B

Step-by-step explanation:

First, we have to find the rate of change for this problem. To do this, we subtract any two numbers of days and the coordinating two total questions. Let's just use the first two rows. 8-4=4, and 40-20=20. For every 4 days, he answers 20 questions. We can further simplify this by dividing both sides by 4. 4/4=1, and 20/4=5. For every 1 day, he answers 5 questions. Now, to find 16 days, we just multiply both sides by 16. 16*1=16 and 16*5=80. For every 16 days, he answers 80 questions. 80 is our answer.

Hope this helps!


Related Questions

5 more than n is the quotient of n and 4

Answers

We get an equation: n+5 = n/4

Two large trees, 5.5m and 6.8m tall, stand 12m apart. A bird flies directly from the top of one tree to the top of the other. How far has the bird flown?

Answers

This is the answer for your question

Solve 10x-4y=15 for y.

Answers

Answer:

y = 15/-4 + 2.5x

Step-by-step explanation:

10x - 4y = 15

-4y = 15 - 10x

y = 15/-4 + 2.5x

It’s been a while since I did Math but, in most scenarios, when you solve for an equation with only 1 x variable and you substitute it back in, it should always be true and equal the answer in the original equation(?).
For this equation, the answer was x=7, but when I substitute it back in, I was unable to get the original solution back, which means it is “no solution” after all.
Why is that?

Answers

Let's replace every copy of x with 7 and simplify.

[tex]\sqrt{5x+1}+9 = 3\\\\\sqrt{5*7+1}+9 = 3\\\\\sqrt{35+1}+9 = 3\\\\\sqrt{36}+9 = 3\\\\6+9 = 3 \ \text{ .... note the 6 on the left isn't negative}\\\\15 = 3\\\\[/tex]

Which is clearly false. This is probably the set of steps you followed to get "no solution".

Why is there no solution? Well let's subtract 9 from both sides to isolate the square root

[tex]\sqrt{5x+1}+9 = 3\\\\\sqrt{5x+1}+9-9 = 3-9\\\\\sqrt{5x+1} = -6\\\\[/tex]

Recall that the result of a square root operation is never negative. The range of [tex]y = \sqrt{x}[/tex] and [tex]y = \sqrt{5x+1}[/tex] is the set of nonnegative numbers. There is no way we can have the left hand side result in -6

If there was a negative sign out front the square root and we have this instead

[tex]-\sqrt{5x+1}+9 = 3\\\\[/tex]

then the answer would be x = 7

Unfortunately, there isn't such a negative sign, so we stick with "no solutions".

A) all values at which h has a local maximum
B ) all local maximum values of h

Answers

For the given function h(x), we have:

a) at x = -2 and x = 2.

b) y = 0 and y = 3.

How to identify the maximums of function h(x)?

First, we want to get the values of x at which we have maximums. To do that, we need to see the value in the horizontal axis at where we have maximums.

By looking at the horizontal axis, we can see that the maximums are at:

x = -2 and at x = 2.

Now we want to get the maximum values, to do that, we need to look at the values in the vertical axis.

The first maximum value is at y = 0 (the one for x = -2)The second maximum is at y = 3 (the one for x = 2).

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pls help! thank you!

Answers

Using the zero product property, we can set each factor equal to zero.

First Factor [tex]x^{4}+5x^{2}-36[/tex]

[tex]x^{4}+5x^{2}-36=0\\(x^{2}+9)(x^{2}-4)=0\\x^{2}+9=0, x^{2}-4=0\\x=\pm 3i, x=\pm 2[/tex]

Second Factor [tex]2x^{2}+9x+5[/tex]

Using the quadratic formula, we get [tex]x=\frac{-9 \pm \sqrt{41}}{4}[/tex].

Which of the following points is shown in the graph below?

Answers

Answer:

Step-by-step explanation:

Comment

Only the x is minus. You know this because if you rotate the x axis 90 degrees clockwise, the plus axis will be on your right and the minus part of the axis on your left.The other 2 (y and z) are positive.All answers give - 4 in their choices. You are not helped much by -4y is on your left right now. That is the plus direction so y = 5z is 6 units up, so it is positive.

Answer (-4,5,6)

B

PLEASE HELP The quotient of seven more than three times a number m The number 27 less than n as an algebraic expression?

Answers

The algebraic expression is (7 + 3m)/27 < n

How to determine the number?

The statement is given as:

"The quotient of seven more than three times a number m and the number 27 is less than n"​

The numbers are represented as n and m

Quotient means divide

So, we have:

The quotient of seven more than three times a number m and the number 27 is represented as:

(7 + 3m)/27

The result is less than n.

So, we have:

(7 + 3m)/27 < n

Hence, the algebraic expression is (7 + 3m)/27 < n

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Is 82296 a perfect square? If not, which number is multiplied to make it a perfect square?​

Answers

82296 is NOT a perfect square

If you multiply 82296 x 82296 = it’s a perfect square

No, Number 82296 is not a perfect square.

And, We multiply by 82296 in the number 82296 to amke a perfect square.

What is square root of a number?

A square root of a number is a value that multiplied by itself gives the same number.

Given that;

The number is,

⇒ 82296

Now,

If the number 82296 is a perfect square number.

So, We get;

⇒ x² = 82296

⇒ x = √82296

⇒ x = 286.87

So, This number is not a perfect square number.

If we multiply by the number 82296 in the number 82296, we get;

⇒ 82296 × 82296

⇒ (82296)²

Thus, It become a perfect square number.

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) Find the domain of definition
a) f(x)=3x-1/√1-5x​

Answers

Answer:

(-∞, 1/5)

Step-by-step explanation:

[tex]f\left( x\right) =\frac{3x-1}{\sqrt{1-5x} }[/tex]

f is defined ,if and only if ,

1 - 5x > 0

⇔ 1 > 5x

⇔ 1/5 > x

⇔ x < 1/5

DEF, DF = 16 and m angle F = 45

Answers

Answer:  [tex]8\sqrt{2}[/tex]

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

Work Shown:

x = length of each leg

Use the pythagorean theorem to get...

[tex]a^2+b^2 = c^2\\\\x^2+x^2 = 16^2\\\\2x^2 = 256\\\\x^2 = 256/2\\\\x^2 = 128\\\\x = \sqrt{128}\\\\x = \sqrt{64*2}\\\\x = \sqrt{64}*\sqrt{2}\\\\x = 8\sqrt{2}\\\\[/tex]

Or as an alternative path, you can divide the hypotenuse by [tex]\sqrt{2}[/tex] and then rationalize the denominator.

Both of these methods apply to 45-45-90 triangles only.

Answer:

[tex]8\sqrt{2}[/tex]

Step-by-step explanation:

We can sum the angles in a triangle to 180°:

m<D + m<E + m<F = 180°

m<D + 90° + 45° = 180°

m<D = 45°

Therefore, the triangle is an isosceles right triangle, since the base angles, <F and <D are the same measure. Because the triangle is isosceles, the legs are congruent, meaning that

DE = EF

We can use the Pythagorean Theorem([tex]a^{2} + b^{2} = c^{2}[/tex]) and plug in 16 as c, and DE and EF as a and b:

[tex]DE^{2} + EF^{2} = 16^{2}[/tex]

Since DE is the same as EF, we can substitute it in:

[tex]DE^{2} + DE^{2} = 256\\2DE^{2} = 256\\DE^{2} = 128\\DE = \sqrt{128}[/tex]

The square root of 128 is the same as [tex]8\sqrt{2}[/tex] since 128 can be factored into 64 x 2. So [tex]8\sqrt{2}[/tex] is the answer.

If you are looking for an easier way to do this, once you are able to recognize DEF is an isosceles triangle, you can say [tex]DE \times \sqrt{2} = 16[/tex] as this applies to all isosceles right triangles. This simplifies to:

[tex]DE = \frac{16}{\sqrt{2}} \\DE = \frac{16}{\sqrt{2} } \times \frac{\sqrt{2}}{\sqrt{2} } \\DE = \frac{16\sqrt{2} }{2} \\DE = 8\sqrt{2}[/tex]

Evaluate the limit. lim x → 0 4ex/2 − 4 − 2x − 1 2 x2 x3

Answers

The limit of the given expression lim x → 0 [4eˣ/2 − 4 − 2x − 12x² +  x³] is determined as -2.

Limit of the function

The limit of the given expression is calculated as follows;

lim x → 0 [4eˣ/2 − 4 − 2x − 12x² +  x³]

= (4e⁰)/2 - 4 - 2(0) - 12(0) + (0)

= (4)/2 - 4

= 2 - 4

= - 2

Thus, the limit of the given expression lim x → 0 [4eˣ/2 − 4 − 2x − 12x² +  x³] is determined as -2.

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Adrian's annual salary is $111,000. He is not eligible for a Roth IRA because he makes
too much money. His company offers a matching program that is 1:1 up to 3% of annual
salary. (do not include commas or dollar signs in your answers)
How much should he contribute to Roth IRAS?

Answers

If he is not eligible for Roth IRAs, then he cannot contribute to Roth IRAs. However, he can contribute $3,330 monthly under his company's Matching Program.

What is a Roth IRA?

The Individual Retirement Account to which employees in the United States can contribute after-tax earnings is called the Roth IRA.

Under its governing principles, certain individuals whose annual income exceeds stipulated amounts are INELIGIBLE to contribute.

How do we arrive at  $3,330?

Recall that the question indicates that his company offers a matching program with a ratio 1:1 up to 3% of his annual salary.

Since his annual salary is $111, 000,

3% x 111,000 = 3,330.

This means that annually, the total matching contribution due to Adrian would be:

3,330 x 2 = 6, 660.

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Which of the following statements are true?


The prime factorization of 21 is 3 x 7.
The LCM of 14 and 21 is 42.
The prime factorization of 14 is 2 x 7.
14 is a composite number.
21 is a prime number.
The GCF of 14 and 21 is 14.

Answers

Answer:

The prime factorization of 14 is 2 x 7.

Step-by-step explanation:

The prime factorization of 14 is 2 x 7.

Answer:

14 is a composite number

Step-by-step explanation:

Find the indefinite integral using the substitution provided.

[tex]\int\limits({\frac{14e^2^x}{e^2^x+10}) } \, dx[/tex]
[tex]u=e^2^x+10[/tex]

Answers

Answer:  [tex]7\text{Ln}\left(e^{2x}+10\right)+C[/tex]

This is the same as writing 7*Ln( e^(2x) + 10) + C

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

Explanation:

Start with the equation [tex]u = e^{2x}+10[/tex]

Apply the derivative and multiply both sides by 7 like so

[tex]u = e^{2x}+10\\\\\frac{du}{dx} = 2e^{2x}\\\\7\frac{du}{dx} = 7*2e^{2x}\\\\7\frac{du}{dx} = 14e^{2x}\\\\7du = 14e^{2x}dx\\\\[/tex]

The "multiply both sides by 7" operation was done to turn the 2e^(2x) into 14e^(2x)

This way we can do the following substitutions:

[tex]\displaystyle \int \frac{14e^{2x}}{e^{2x}+10}dx\\\\\\\displaystyle \int \frac{1}{e^{2x}+10}14e^{2x}dx\\\\\\\displaystyle \int \frac{1}{u}7du\\\\\\\displaystyle 7\int \frac{1}{u}du\\\\\\[/tex]

Integrating leads to

[tex]\displaystyle 7\int \frac{1}{u}du\\\\\\7\text{Ln}\left(u\right)+C\\\\\\7\text{Ln}\left(e^{2x}+10\right)+C\\\\\\[/tex]

Be sure to replace 'u' with e^(2x)+10 since it's likely your teacher wants a function in terms of x. Also, do not forget to have the plus C at the end. This is a common mistake many students forget to do.

To verify the answer, you can apply the derivative to it and you should get back to the original integrand of [tex]\frac{14e^{2x}}{e^{2x}+10}[/tex]

Solve f(-4) for f(x) = 7x - 4x
f(-4)= [?]
Enter
ternational Academy of Science. All Rights Reserved.

Answers

Answer:

-12

Step-by-step explanation:

What you have to do is plug -4  into the function as a puzzle. So, replace all x with -4.

f(-4) = 7(-4) - 4(-4) = -28 + 16 = -12

f (-4) = 7x ( 1-4 ) - 4 (-4)

       = -28 + 16

      = -12

What is a equation example?

An equation is a mathematical statement this is made from two expressions related by an equal sign. for instance, 3x – 5 = 16 is an equation. solving this equation, we get the fee of the variable x as x = 7.

A declaration of the equality of mathematical expressions. An expression representing a chemical reaction by using chemical symbols. equation.

Conclusion: There are three major forms of linear equations: point-slope form, standard form, and slope-intercept form. We review all three in this article.

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A music club has $187 to buy ice cream for a party. Each carton of ice cream costs $4. If the club buys as many cartons as possible, how much money will the club have left?

Answers

Answer:

They would have $3 dollars left over.

Step-by-step explanation:

If you divide 187 by 4, you get 46.75. But if you look again, you can see that the remainder is 3 and it can confirm that it is the left over money that the club has now after buying as many ice cream cartons as possible.

Which combined inequality has the same solution set shown in the graph of x?



Number line ranging from negative four to four, with a line beginning with an open point at negative three and ending with a closed point at negative one


–3 > x ≥ –1


–3 < x ≤ –1


–3 ≤ x < –1


–3 ≤ x > –1

Answers

Step-by-step explanation:

an open (empty) point means the point itself is not included.

a closed (filled) point means the point itself is included.

the x values going from -3 (not included) to -1 (included) means

-3 < x <= -1

so, the second answer is correct.

I’LL GIVE BRAINLIST IF YOU ANSWER CORRECT:

Answers

Answer:

Step-by-step explanation:

Solution

The first step is to simplify the top of the fraction. Subtract 5.6 - 2.7

The numerator (top) and denominator(bottom) are decimal fractions. They are 2.9 for the top and 2.9 for the bottom.

The whole expression reduces down to 1, which is an integer.

Note

You have choices. If you want exact answers you will have to list those choices.

Answer: 1

Select the expressions whose value is 4.
0(-2)²
02(-2)
0-4÷2
0-41

Answers

Answer: The correct answer is A, [tex](-2)^{2}[/tex].

Step-by-step explanation:

A negative multiplied with another negative is a positive. Squaring is multiplying an integer by itself. Thus, it would look like -2×-2, which is equal to 4. I hope this helps!! :)

Which of the following demonstrates how the 70 is calculated using the
combination pattem?

Answers

Answer:

A because it shows that the calculations are correct as well as combination pattem

How can you make a sum of 12

Answers

There are several ways

Let's check all

1+112+103+94+85+76+60+12
Answers -
1+11
2+10
3+9
4+8
5+7
and lastly 6+6

Sally makes $3,000 each month. What is the most she can spend on housing?

Answers

Following the 30% rule of thumb, Sally should only spend a maximum of $900 on her rent

Numbers and percentage

Given Data

Monthly Salary = $3000Percentage spent on rent = 30%

Let us find 30% of $3000

= 30/100* $3000

= 0.3*$3000

= $900

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NO LINKS!!

Solve the compound inequality. Write the solutions in interval notation.
x + 7 ≥ 4 and 11x - 8 ≥ 3

Answers

Answer:   [1, infinity)

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

Explanation:

Let's isolate x in the first inequality mentioned.

x + 7 ≥ 4

x + 7-7 ≥ 4-7

x ≥ -3

I subtracted 7 from both sides to undo the +7.

Now isolate x in the second inequality. We first add 8 to both sides, then divide both sides by 11.

11x - 8 ≥ 3

11x - 8+8 ≥ 3+8

11x ≥ 11

11x/11 ≥ 11/11

x ≥ 1

------------------

The two solutions we found were

x ≥ -3 and x ≥ 1

Next, draw out a number line with closed circles at -3 and 1. Shade to the right of each closed circle endpoint as you see below.

Notice that the two inequalities overlap for x ≥ 1

In other words, if a number is -3 or larger AND 1 or larger, then the number is 1 or larger.

The two solutions intersect to form x ≥ 1

The inequality x ≥ 1 is the same as 1 ≤ x which is the same as 1 ≤ x < infinity

Then that turns into the interval notation of [1, infinity)

The square bracket includes the endpoint 1.

If needed, use the infinity symbol in place of the word "infinity".

Answer:

[1, ∞)

Step-by-step explanation:

To solve a compound inequality, first separate it into two inequalities and solve them separately:

Solution of Inequality 1:

x + 7 ≥ 4

⇒ x ≥ 4 - 7

x ≥ -3

Solution of Inequality 2:

11x - 8 ≥ 3

⇒ 11x ≥ 3 + 8

⇒ 11x ≥ 11

x ≥ 1

As both graphs overlap for x ≥ 1, this is the solution.

Therefore, in interval notation:  [1, ∞)

4, 5, 5, 6, 7, 8, 8,9
What is the range?

Answers

Answer: A ; 5.

Explanation: The range means the biggest number subtract the smallest number.
9 - 4 = 5.

Which is most needed in order for groupwork technology to succeed?

Answers

the answer is D. An agreement from everyone on the collaborative team to share equally in the work load.

If we changed the 3 to a 0 in the equation, what would happen to the graph?

Answers

A function assigns the values. The function will move down by 3 units.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

The graph of the function is given below. Now if 3 is replaced by a 0, then the y-intercept of the function will become zero while keeping the slope the same. Therefore, the function will move down by 3 units.

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Evaluate 15÷3·(-2) + |-10|

Answers

[tex]15 \div 3( - 2) + | - 10| \\ 5( - 2) + 10 \\ - 10 + 10 \\ 0[/tex]

Hope it helps

please give brainliest

HELPP (NO LINKS)
The table shows the value of a townhome for 3 years after it is purchased. The values
form a geometric sequence. If the pattern continues, how much will the townhome be
worth after 7 years?

Answers

The amount that the home will be worth after 7 years is  $457763.67


Geometric sequence

The geometric sequence is sometimes called the exponential sequence. The formula for calculating the nth term of an arithmetic sequence is expressed as:

Tn = ar^n-1

where

a is the first term = 120,000

r is the common ratio = 150000/120000 = 1.25

Required

7th term

Substitute

T7 = 120,000(1.25)^7-1
T7 = 120,000(1.25)^6

T7 = 120,000(3.8147)

T7 = $457763.67

Hence the amount that the home will be worth after 7 years is  $457763.67

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Answer:

(c) $457,763.67

Step-by-step explanation:

hope this helps:)

Julia is in charge of buying clothing in bulk for a sporting goods store. The table shows the unit prices of the items she intends to buy.

Unit Prices of Clothing Items for a Sporting Goods Store
Item
Unit Price
T-shirts
$7.50
Shorts
$9.00
Windbreakers
$12.25

If she will buy 35 T-shirts, 45 pairs of shorts, and 25 windbreakers, what will be her total cost?
$958.75
$973.75
$1,021.25
$1,038.75

Answers

The total cost of 35 T-shirts, 45 pairs of shorts, and 25 windbreakers is $973.75.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Cost of 1 T-shirt = $7.50

Cost of 35 T-shirts = 7.50 x 35

                                = 262.5

Cost of 1 Shorts = $9.00

Cost of 45 T-shirt = 9.00 x 45

                             = 405

Cost of 1 windbreakers = $12.25

Cost of 25 windbreakers = 12.25 x 306.25

So, The total cost of 35 T-shirts, 45 pairs of shorts, and 25 windbreakers

= 262.5+405+306.25

=  $973.75

Hence Her total cost is $973.75.

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