Mathematics Middle School

Which is an equation in point-slope form of the line that passes through the points (4, 5) and (−3, −1) ?
a. y−1=6/7(x−3)

b. y+1=6/5(x+3)

c. y+3=7/6(x+1)

d. y+1=6/7(x+3)

Answers

Answer 1
the slope (m) is (5 - -1) / 4 --3 = 6/7

y - y1 = (6/7)(x - x1)

y -  -1 = (6/7)( x - -3)

y + 1 = 6/7(x + 3)

Its D

Related Questions

Kai is making a chess board using pieces of wood that measure 1 in.². When he finishes, the chessboard will have an area of 64 in.². How many pieces of wood should he put along each side.

Answers

You have to find the square root of 64, since he is putting the same amount to both sides. The square root of 64 is 8, so Kai will be putting 8 pieces along each side. YOU'RE WELCOME :)

Answer:

8

Step-by-step explanation:

In a class of 160 students, 90 are taking math, 78 are taking science, and 62 are taking both math and science. What is the probability of randomly choosing a student who is taking only math

Answers

The probability of choosing a student who is taking only math from a class of 160 students, with 90 taking math and 62 taking both math and science, is 0.175.

The question asks for the probability of randomly choosing a student who is taking only math in a class of 160 students, where 90 are taking math, 78 are taking science, and 62 are taking both math and science. To find the number of students taking only math, subtract the number of students taking both subjects from the total number taking math (90 - 62 = 28). The probability is then the number of students taking only math divided by the total number of students, which is 28/160.

The probability can be calculated as 28 divided by 160, or 0.175.

find x on the triangle

Answers

This is an equilateral triangle, which means all the sides are the same length. So, the answer is 35. ☺♥

Hope this helps.
This is an isosceles triangle (two legs are of equal length).  Thus, x = 35.

how do i write a direct variation given that y varies directly with x
x: 15 y: -5

Answers

When we say that y varies directly with x, we mean that whatever value x is scaled up by, y will be scaled up by, too. The simplest kind of direct variation is one where y = x for all values of x. If you multiply x by some value, y must be multiplied by that same value.

More generally, though, you'll have something of the form y = kx, where the variable k here is referred to as the constant of proportionality. Another way you can think of k is as the ratio of y to x.

In this problem, you're given a set of values for x and y, and you'll need to use those to find the constant of proportionality before you set up an equation relating x to y. Substituting our general equation y = kx for the given values, we have:

-5 = k(15)

To get k, simply divide both sides by 15 to obtain:

k = -5/15 = -1/3

So, our general equation, for any x, would be y = (-1/3)x

Determine the amount potential energy of 5.0kg book that is moved to three different shelves on a bookcase. The height of each Shelf is 1.0 m, 1.5

Answers

p. e = mgh
m=5kg
g=10ms-²
h=1 + 1.5 + (you didn't specify the third shelf height) i assume it is 2m
so total = 1+1.5+2= 4.5
p. e = 5×10×4.5 = 225joules

brianna choclotate chip cookies recipe will make about 3 dozen cholotate chip cookies . The recipe calls for 2 1/4 cups of flour and 3/8 cups o baking soda . If brianna was to adjust the recipe to include 1 cup of baking soda how many cups of flour would she need to use

Answers

so if she uses 2 1/4 for 3/8 thats 5/8 more which is 62.5% so 2 1/4+62.5 of 2 1/4 so 1 7/20+2 1/4 to get 3 3/5.

Monisha and Dave each sold more magazine subscriptions as part of a fundraiser Monisha rays have as much money as the rays together the race $213.75 what is the total amount of money the money she has raised

Answers

Monisha = x/2

Dave = x

x + (x/2) = 213.75

1. Solve for x.

2. Evaluate x/2 to find the total amount raised by Monisha.

Take it from here.

What value of x makes the equation below true? 6x-9 39

Answers

6x-9=39
+9 +9
6x=48
x=48/6
x=8
And yes it is true

simplify
7x + 8 = 36

Answers

7x=36-8
7x=28
x=28/7
x=4

The correct simplification of [tex]7x + 8 =36[/tex]  for value of x is 4.

Given expression is:

[tex]7x+8 = 36[/tex]

To simplify the expression,

isolate  [tex]x[/tex] on one side of the expression or rearrange the expression rearranging like and unlike terms.

Subtract 8 from both side of the expression:

[tex]7x + 8 -8 = 36 -8[/tex]

[tex]7x = 36-8[/tex]

[tex]7x = 28[/tex]

To solve for [tex]x[/tex] , Divide both side of the equation by 7.

[tex]\dfrac{7x}{x} = \dfrac{28}{7}[/tex]

[tex]x = \dfrac{28}{7}[/tex]

Simplify further,

[tex]x = 4[/tex]

The solution for the  equation  [tex]7x + 8 =36[/tex] is 4.

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at a summer camp there are 40 boys out of 70 campers what is this ratio written as a fraction in simplist form

Answers

4/7 should be correct. Hope this helps! :)
40:70

4:7 is your answer

divide 10 from both sides

hope this helps

A train leaves a station at 10:40 a.m. and arrives at its destination at 1:20 p.m. Find the distance between the stations if the average speed of the train was 60 mph.

Answers

The answer is 144 miles. I found that it took 2 hours and 40 minutes, then multiplied 2.4 times 60 and got 144 miles.

Answer:

160 miles.

Step-by-step explanation:

A train leaves a station at 10 : 40 a.m.

and arrives at its destination at 1 : 20 p.m.  = 13 : 20 p.m.

Now we will subtract the time of departure to calculate the total time taken by the train.

 13 : 20

- 10 : 40

  2 : 40       Train took 2 hours 40 minutes to reach its destination.

Now we will convert 2 hours 40 minutes to decimal form.

2 hours and (40/60) = 2.66 minutes

If the average speed of the train was 60 miles per hour.

Since in one hour train traveled 60 miles

Therefore, in 2.66 hours train traveled = 60 × 2.66

                                                                 = 159.6 ≈ 160 miles

The distance would be 160 miles.

Miss Lawrence buys 8 ounces of smoked salmon at $17.98 per pound. How much money does Miss Lawrence spend on the smoked salmon?

16 ounces= 1 pound

Answers

So if 16 ounces is one pound, 8 ounces is half a pound, If you buy a half pound at $17.98 per pound you multiply 17.98 by .5

So your answer is $8.99

Please Help.
5, 6 and 7 have to equal to 37 what multiplication, division, sum and subtraction (I have to use all these) can i do?

Answers

5 x 6 + 7? Is that what the answer is, I didn't get the question towards the end. :)
37-7=30
30/6=5 
(37-7)/6=5
or.....
6*5+7=37

Carmelo puts $2,200.00 into savings bonds that pay a simple interest rate of 3.4%. How much money will the bonds be worth at the end of 5.5 years?

Answers

Hello there! So, the first thing we do when solving these types of problems is to find the interest rate. Because this is simple interest, the amount earned will be constant. The formula for this is I = prt. The principle is the $2,200. The rate earned per year is 3.4%. 2,200 * 3.4% (0.034) is 74.80. That's $74.80 worth of interest each year. The amount of time is 5.5 years. 74.8 * 5.5 is 411.4. Carmelo will earn $411.40 worth of interest in 5.5 years. However, that's not all. We are looking for the total amount of his bonds, which means add the interest and his initial amount in the bank. 2,200.00 + 411.40 is 2,611.4. Carmelo's saving bonds will be worth $2,611.40 at the end of 5.5 years.

The bonds will be $2611.40 at the end of 5.5 years.

What is simple interest rate?

Simple interest is a quick and easy method of calculating the interest charge on a loan. Simple interest is determined by multiplying the daily interest rate by the principal by the number of days that elapse between payments.

Simple interest rate formula

F.V = [tex]P.V (1+rt)[/tex]

F.V = Final value

P.V = Principal value

Given

Principal value P.V = $2200.00

Rate r = 3.4%

Time t = 5.5 years

Simple interest rate formula

F.V = [tex]P.V (1+rt)[/tex]

F.V = [tex]2200(1+3.4 \% \times 5.5)[/tex]

F.V = [tex]2200(1+0.034 \times 5.5)[/tex]

F.V = 2200 × 1.187

F.V  = 2611.40

Hence,

The bonds will be $2611.40 at the end of 5.5 years.

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21 is what percent of 42

Answers

21 is 50% of 42. 
42 x 0.5 = 21
1. We assume, that the number 42 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 42, so we can write it down as 100%=42.
4. We know, that x% equals 21 of the output value, so we can write it down as x%=21.
5. Now we have two simple equations:
1) 100%=42
2) x%=21
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=42/21
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 21 is what percent of 42

100%/x%=42/21
(100/x)*x=(42/21)*x       - we multiply both sides of the equation by x
100=2*x       - we divide both sides of the equation by (2) to get x
100/2=x
50=x
x=50

now we have:
21 is 50% of 42

At a wedding reception, an equal number of guests were seated at 12 round tables. The 13 people in the wedding party were seated at a rectangular table. There were 121 people at the reception altogether. Which equation could you use to find the number of guests, n, seated at each round table?

Answers

12n + 13 = 121
-13 from both sides

12n = 108
÷12 from both sides

n=9

Name the place value to which each number was rounded.0.546 to 0.55

Answers

You've must've rounded to the nearest thousandths to get your answer.

The value of each digit in a number is known as the place value. The place value to which each number was rounded.0.546 to 0.55 is hundredths place value.

What is the place value of a digit in a number?

The value of each digit in a number is known as the place value. The 5 in 350, for example, represents 5 tens, or 50, whereas the 5 in 5,006 represents 5 thousand, or 5,000. It is critical that children that while a digit can be the same, its value is determined by its position in the number.

Identification of the place value of a digit in a number:

The place values on the left of the decimal point start as ones, tens, hundreds, and so on.The place value on the right of the decimal point starts from the point and goes to the right as tenths, hundredths and so onThe tens mean multiply by 10The tenth means the tenth part of that digit which is that digit divided by 10

Rounding some number to a specific value is making its value simpler (therefore losing accuracy), mostly done for better readability or accessibility.

Rounding to some place keeps it accurate on the left side of that place but rounded or sort of like trimmed from the right in terms of exact digits

Round 0.546 to the nearest hundredths place value.

We have, 0.546

Rounding to the nearest hundredths place value

4 is in hundredths place value

Since 6 is greater than 5 we can write 4 as 5.

0.55 is our answer.

Thus, if we round to the nearest hundredths place value we get 0.55.

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a story problem for 7 ×6=42

Answers

Bob goes to the store 7 times a week and buys 6 watermelons each time he goes. How many watermelons does Bob buy in one week?

here are 96 girls in a junior class of 176 students. Find the ratio of girls to boys.

Answers

176 - 96= 80

Meaning there's 80 boy in the class.

The unsimplified version of the ratio would be 80:96 or 80/96 in fraction form

But if your looking for it simplified it would be 5:6 or 5/6 in fraction form.

Hope this helps :)

Maihua jogged for 1/2 hour a 6 km/h she jogged for another 1/4 hour at 8 km/h what distance did she jog altogether.

Answers

5 km (1/2 * 6 = 3, and 1/4 * 8 = 2, and 2+3=5).

How do you write 6.7 in two other word forms for a 4th grade assignment

Answers

six and seven hundredths
Six and seven hundreds

plz help....Which relation describes a function?

A)
{(0, 0), (0, 2), (2, 0), (2, 2)}


B)
{(−2, −3), (−3, −2), (2, 3), (3, 2)}


C)
{(2, −1), (2, 1), (3, −1), (3, 1)}


D)
{(2, 2), (2, 3), (3, 2), (3, 3)}

Answers

the answer is B. {(-2,-3),(-3,-2),(2,3),(3,2)}
because the domain does not contain any repeated values.

The answer is B

a function is a set of ordered pairs such that for each domain element there is only one range element the set of ordered pairs{(-2,-3),(-3,-2),(2,3)(3,2) is the only set that does not pair a domain elemnt with two or more range elements.

Which sets of values can be the measures of the exterior angles of a triangle?
120°, 110°, 130°

35°, 103°, 122°

123°, 87°, 220°

120°, 120°, 120°

123°, 157°, 90°

can be more than one answer

Answers

The 3 angles must add up to 360 degrees

Only 1 and 4  fit the bill.

solve each equation x-6=8

Answers

Equation is
x-6=8
x=8+6
x=14
X equal to 14

The solution to the equation  x - 6 = 8 is x equal to 14.

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, An expression x - 6 = 8.

Now, Separating the variable and constants by moving them to other sides

we have, x = 8 + 6.

x = 14.

Also moving terms to the other sides changes its sign.

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What is 2.75-23.68x=8.04+23.17x ?

Answers

First you need to subtract 23.17x on both sides to get 2.75-46.85x=8.04
Then you subtract 2.75 on both sides to get -46.85x=5.29
Finally you divide -46.85 on both sides to get x=-5.29/46.85 or-0.113

Bella uses 56 beats to create a necklace.she wants to make 23 necklaces for a craft show. unfortunately,she was 15 beads short and cannot finish the last necklace.how many beads did she start with?

Answers

To find how many she started with do 56 x 23 - 15

the quotient of five times a number and 7 is no more than 10

Answers

the sentence in numerical form is 5x/7≤10
to solve, multiply by 7
5x≤70
lastly, divide by 5
x≤14
14 is the answer okkkkkkkkkkkkkkkkkkkk

What does it mean to say that a number is a perfect square? Give on example of number that is a perfect square and of one that is not. Explain your examples.

Answers

A number that is a perfect square is a number that can be square rooted kind of in a perfect match. Example would be 9 because it can be square rooted by 3 for 3 * 3. An example that would not be a perfect square would be 30 because it can divided by 6 * 5 but neither one of those numbers are perfect squares. 

Answer:

A number called a perfect square means that the number has an exact squared root. In other words, the number has an squared power, which is exact.

Other way to see this, it's taking natural number 1, 2, 3, 4... then, applying the squared power to each one, the results of each squared power is what we call a perfect square. For example, 1, 4, 9, 16, 25, 36,..., are all perfect square, because they are the result of a squared power:

[tex]1^{2}=1\\2^{2}=4\\3^{2}=9\\4^{2}=16\\5^{2}=25\\6^{2}=36[/tex]

What is the simplified form of the following expression? 4sg/-5g

Answers

the first thing i would do is eliminate 'g' becasue it is on the top and bottom and get   4s/-5, I do not see anything else ypu can do to simplify so I would leave it like that

If 2 and 4 each divide q without remainder which of the following must q divide without remainder

Answers

i would say that it is because the answer cannot be determined from the information given.
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