Mathematics High School

1. Ali collects comic books. He buys 2
comic books a week. This year after 5
weeks he has 17 comic books in his
collection. Write an equation relating
the number of comic books c to the
number of weeks w.

Answers

Answer 1

xw + 5w - 17 = 0 is the required equation.

How to find the required related equation?

Given,

Ali buys 2 comic books a week.

After 5 weeks he has 17 comic books this year.

Solution:

Let w be weeks and c be comic books.

Since Ali buys 2 comic books a week.

1w = 2c

For 5 weeks, he would have,

5w = 10c, if he bought 2books per week.

But he had 17 books,

i.e, he would have collected some books last year.

Let x be the no of unknown weeks last year.

(x + 5)w = 17c

(x+5)w-17c= 0

xw + 5w - 17 = 0 is the required equation.

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Related Questions

PLEASE HELP ME!!! *correct answer will get brainlist*

Answers

I think y=4 and x=(-2)

There are 4 consecutive integers with a sum of –278. What is the greatest of the 4 integers?

Answers

The greatest of the 4 consecutive integers with a sum of -278 is -68

Let n, n + 1, n + 2 and n + 3 be four consecutive integers.

The sum of four consecutive integers is -278.

⇒ n + (n + 1) + (n + 2) + (n + 3) = -278

⇒ n + n + n + n + 1 + 2 + 3 = -278

⇒ 4n + 6 = -278

⇒ 4n = -278 - 6

⇒ 4n = -284

⇒ n = -284/4

⇒ n = -71

So, the consecutive integers would would be:

n = -71

n + 1 = -70

n + 2 = -69

n + 3 = -68

here, the greatest of the 4 integers is -68

Therefore, the greatest of the 4 consecutive integers with a sum of -278 is -68

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Evaluate the following equation when x = {1, 2, 3, 4, 5} by filling in the table with the correct values for the function f (x) = (-3)^x

Answers

Step-by-step explanation:

In x you can put the value which can given in question.

PLEASE HELP THIS MAKES NO SENSE AND WOULD BE VERY MUCH HELPFUL IF YOU CAN JUST ANSWER THEM GRADES ARE DUE TOMORROW, please help.

Answers

Distance between M(6,-7) and a line that contains the points C(-6,-2) and H(-1,10) is 7.846

First we will find the equation of the line containing the points C(-6,-2) and H(-1,10).

Take (x₁, y₁) = (-6,-2) and (x₂, y₂) = (-1,10).

Then the slope of the line, m = y₂-y₁/x₂-x₁

= 10- -2/-1- -6

= -12/7

So the equation of the line is

y-y₁ = m(x-x₁)

⇒ y- -2 = -12/7(x- -6)

⇒ y+2 = -12/7(x+6)

⇒7(y+2) = -12(x+6)

⇒ 7y +14 = -12x -72

⇒ 12x+7y +14+72 = 0

⇒ 12x+7y+86 = 0

This is in the form ax+ by+ c = 0

Also given the point (x, y) = (6, -7).

Distance between a point (x, y) and a line ax+ by+ c = 0 is,

[tex]\frac{|ax+by+c|}{\sqrt{a^2+b^2} }[/tex].

So Distance between M(6,-7) and the line 12x+7y+86 = 0 is

[tex]\frac{|12.6+7.-7+86|}{\sqrt{12^2+7^2} }[/tex] = |72-49+86|/√(144+49)

= 109/√193

= 7.846

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Starting from the origin, what movements do you need to plot the ordered pair (2, -3)?

Answers

Here, x coordinate is 2 and y coordinate is -3, so we have to first move two units on right thereafter we will move three units downward.(for better understanding please see the attached graph).

A coordinate plane is formed by the intersection of a horizontal number line and a vertical number line. The number lines intersect at the origin and separate the coordinate plane into four regions called quadrants.

An ordered pair is used to locate a point in a coordinate plane.

ordered pair(P) = (2,-3).

Hence, x coordinate is 2 and y coordinate is -3. we have to first move two units on right thereafter we will move three units downward.

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At a store, shirts are regularly priced $9.95 each. The store is having a sale in which if a customer buys two shirts, he or she will get the third shirt at half-price. Sales tax is 7%. About how much will a customer spend on three shirts? *
.
.
A. $16
B. $25
C. $27
D. $32

Answers

Answer:

C. $27

Step-by-step explanation:

9.95÷2=4.975

9.95+9.95+4.975=24.875 or 24.88

24.88×7%+24.88=26.62

Question 14 (5 points) Find the distance between (6, -2) and (1, -2). 7 units 5 units 6 units 4 units

Answers

Answer:

5 units

Step-by-step explanation:

I need the blank angles answers with the reason of justification please

Answers

Answer:

We had this question last week let me check my book real quick.

-(1.67+ 1.67 +26.6) x 10-24
-29.94 x 10-24
-2.994 x 10-23
The mass of a water molecule is about 2.994 x 10-23 g.
Look at the Example. A hydrogen peroxide molecule has two oxygen atoms and
two hydrogen atoms. What is the mass of one molecule of hydrogen peroxide?
Write your answer using scientific notation.
2 a. Use the information from the Example. Complete the steps to find how
many grams as great the mass of one oxygen atom is than the mass of one
hydrogen atom.
(2.66 x 10-23) - (1.67 x 10-24) =(
The mass of an oxygen atom is
=
x 10-24) (1.67 x 10-24)
-) X 10-24
X 10-24
X 10-23

Answers

Answer:

is it not 10 minus 23 I think that would be the answer

Answer:

Step-by-step explanation:

1.9×10−221.99×10−231.99×10−231.9×10−221.91.99×10−2210−231.991.9×10−2310−22Divide numbers and 10's separately0.954774...×1010.954774...×101Subtract exponents9.54774...9.54774...Convert to standard notation9.59.5

wander 9.5

wo horses start a race at the same time. Horse A gallops at a steady rate of 32 feet per second and Horse B gallops at a steady rate of 28 feet per second. After 5 seconds, how much farther will Horse A have traveled? Explain or show your reasoning.

Answers

Answer:

Step-by-step explanation:

Multiply 32 by 5 = 160

Multiply 28 by 5 =140

subtract 140 from 160

Answer Horse A would have traveled 20 feet farther the Horse B

What is the y-intercept?

Answers

Please provide a picture, I'm not seeing one.

The y-intercept is when the x-value equals zero. (0, y)

You can find the y intercept if you plus in 0 for the c value

Which 3 measurements could be the dimensions of a right triangle?
(a² + b² = c²)

Answers

Answer:

5, 12, 13

Step-by-step explanation:

let a = 5 , b = 12 , c = 13 , then

5² + 12² = 25 + 144 = 169

13² = 169

so a² + b² = c²

Answer:

3, 4, 5

Step-by-step explanation:

In a right triangle, we have 2 legs and a hypotenuse. The hypotenuse equals c, while the other 2 legs are a and b.

Lets say a = 3, b = 4, and c = 5

The formula is a² + b² = c²

3² + 4² = 5²

9 + 16 = 25

25 = 25

Therefore, 3, 4, and 5 can be dimensions of a right triangle.

Write the plural form of the noun. 1. menu 2. speech 3. theory 4. era Math Write the given number in word form. 9. standard form: 290.1 word form: 10. standard form: 7,035.486 word form: 5. lady 6. mailbox 7. patio 8. apostrophe

Answers

Menus, speeches, theories, eras, ladies, mailboxes, patios, apostrophes are the plural forms of all the specified nouns as provided in the question.

What is Word form?

The written format or the word format of any number provided is called as its word form.

In this question, we are asked to find out the word form of 290.1 and 7,035.486.

290.1 in word form can be written as Two Hundred and ninety point one.

7,035.486 in word form can be written as Seven thousand and thirty-five point four eight six.

What is Plural form?

Any word or noun that has to be described such that it is present more than one in number is represented by its plural form. Almost all of the noun words have their plural forms.

The plural forms of the asked nouns have been specified as above already.

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A rancher is filling a trough for her horses. The trough already contains 25 gallons of water, and the rancher is adding 11 gallons per minute. How long will it take for the trough to have 80 gallons of water?

Answers

The time for the trough to have 80 gallons of water is 5 minutes.

What is an equation?

A mathematical equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

Let the number of minutes be represented as m.

The trough already contains 25 gallons of water, and the rancher is adding 11 gallons per minute. This will be:

25 + 11m =80

Collect like terms

11m = 80 - 25

11m = 55

Divide

m = 55 / 11

m = 5

Therefore, there will be 5 minutes.

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which measurements are equivalent to 3 yards

Answers

The equivalent measures to 3 yards are;

108 inches and ; 6 ft 36 inches

Here, we want to get the values of the measurements that are equivalent to 3 yards

To do this, we need to know how to convert between the various measure types

We proceed as follows;

Mathematically, 1 yard is 36 inches; also, 1 yard is 3 feet

So, 3 yards is (3*36) = 108 inches

Also, 3 yards is (3*3) = 9 feet

Also, 1 ft is 12 inches;

So, 6 ft 12 inches is 7 feet

108 inches is as seen above, so 3 yards equal this

3 yards is not 108 feet as calculated above

6 ft 36 inches

36 inches is 3 ft; so by addition; 6 ft 36 inches is 9 ft

So, the correct answers here are 108 inches and 6 ft 36 inches

Write an equation for the line parallel to the given line that contains C.
C(4,6); y=x+7
The equation of the parallel line is….

Answers

The equation of the parallel line is y = x + 2.

What is Equation of line?

The equation of line with slope m and y intercept at point b is given as;

y = mx + b

Given that;

The point = C(4, 6)

And, equation of line is y = x + 7

Since, Slope of Parallel lines are always same.

So, The slope of the given line is calculated as;

y = x + 7

m = dy/dx = 1

Thus, Slope of parallel lines is 1.

Since, The equation of line is passes through point C (4, 6).

So, The equation of line with slope(m) 1 and point C(4, 6) is;

y - 6 = 1 (x - 4)

y - 6 = x - 4

y = x - 4 + 6

y = x + 2

Thus, The equation of the parallel line is y = x + 2.

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jenny believes that spending one hour studying for economics will increase her grade by 20 points. studying for a second hour will increase her grade by 10 points. she also believes that studying for an hour for history will increase her grade by 15 points, but spending a second hour will increase her grade by only 5 points. jenny has two hours to study. if jenny wants to maximize her scores, what should she do?

Answers

If Jenny studies one hour both for economics and history she can gain 10+15=25 points

What is meant by Increasing?

Increasing: Growing larger or greater. Therefore, if the derivative of a function is positive, then the function is increasing. Let's consider our example of g(x) = x2. The derivative of g(x) = x2 is g'(x) = 2x. Since we are multiplying x by the positive number 2, it's easy to see that g ' is positive when x is positive and negative when x is negative.

Jenny will receive 15 points if she simply studies economics, which equates to 10 points in the first hour and 5 points in the second.

Jenny will earn 20 points if she exclusively studies history, which equates to 15 points in the first class and 5 points in the second.

Jenny should study economics for one hour, which will get her 10 points, and history for one hour, which will gain her 15 points, for a total of 25 points in the two hours

So we concluded that if Jenny studies one hour both for economics and history she can gain 10+15=25 points

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Danielle earns $36.80 for 4 hours of yardwork. How much does Danielle earn for 10 hours of yardwork

Answers

Firstly he earns 36.8 dollars in 4 hours
So how much does he earn per hour?
Decide 36.8 by 4 => 9.2 dollars
Now he earns 9.2 dollars for every he so he’ll earn 9.2(10) I.e. 92 dollars in 10 hours

$36.80 x 2 = $73.60

$36.80 / 2 = $18.40

4hr + 4hr + 2hr = 10hr

$73.60 + $73.60 + $18.40 = $165.60

PLEASE HELP ASAP! What is the rate of change (slope) and the initial value (y-axis) for this table? PLEASE ANSWER BOTH Y AXIS AND SLOPE! And please give an explanation if possible

Answers

Answer:

24 and 11

Step-by-step explanation:

See attached worksheet.

Shawn borrows $600 to be paid back in one year with 8% simple interest. How much interest will Shawn pay?

Answers

Answer:

Step-by-step explanation:

0.08 × 600 =48

for the percent you move the decimal forward twice.

4y+3z=19
-x+z=27
x-3y=-19

Solve the system of equations

Answers

4
y
+
3
z
=
19
−
x
+
z
=
27
x
−
3
y
=
−
19
4
y
+
3
z
=
19
-
x
+
z
=
27
x
-
3
y
=
-
19
divide
4
y
+
3
z
=
19
−
x
+
z
=
27
x
−
3
y
=
−
19
4
y
+
3
z
=
19
-
x
+
z
=
27
x
-
3
y
=
-
19
by
2
2
.
4
y
+
3
z
=
19
−
x
+
z
=
7
x
−
3
y
=
−
19

Answer:

x = -262/13, y = -5/13, z = 89/13

Step-by-step explanation:

Solve the following system:

{3 z + 4 y = 19 | (equation 1)

z - x = 27 | (equation 2)

-3 y + x = -19 | (equation 3)

Swap equation 1 with equation 2: