Answer: y = -2x + 8
Step-by-step explanation:
gradient = change in y/ change in x = 8/-4 = -2
y = -2x + c
substitute values in
8 = 0 + c
c = 8
y = -2x + 8
The graph of a line passes through the points (0, 8) and (4, 0), the equation of the line is y = -2x + 8
How to find the equation of a lineThe line is the distance between two points. The equation of a line in slope-intercept form is y = mx + b
m is the slopeb is the y-interceptFind the slopeSlope = -8/4
Slope = -2
Determine the y-intercept
Since the y-intercept is the point where the line cross the y-axis, hence b = 8.
FInd the required equation
y = -2x + 8
Hence if the graph of a line passes through the points (0, 8) and (4, 0), the equation of the line is y = -2x + 8
Learn more on equation of a line here: https://brainly.com/question/18831322
Which expressions are equivalent to -2(2h+10)+4h
Arrange in descending order: 101.121, 111.101, 101.112, 110.111
Answer:
111.101, 110.111, 101.121, 101.112
Step-by-step explanation:
Descending order means values starting with big ones and ending with the small ones.
So, in this case,
111.101, 110.111, 101.121, 101.112Hope it helps :)
3 out of every 5 students in Mrs. Wilson's class have brown eyes. There are 20 students in Mrs. Wilson's class. How many of the students in Mrs. Wilson's class have brown eyes?
Answer:
12
Step-by-step explanation:
So there is 3:5 right, so 20 divided by 5 equals 4, there are four 5's in 20. Then 4 multiplied by 3 equals 12. So there are 12 students that has BROWN EYES.
Hope I Helped You :)
a *blank* *blank* trinomial has only one element in the solution set
Answer:
a solution set trinomial has only one element in the solution set
Step-by-step explanation:
Given that 372 × 68 = 25296 find the value of 3720 x 68
Answer:
252960
Step-by-step explanation:
3720 x 68 = 252960
hope it's helpful
[tex]3720 \times 68 = 372 \times 10 \times 68 = 372 \times 68 \times 10 = 25296 \times 10 = 252960[/tex]
carl ordered a refrigerator that weigh 192 pounds
Answer: good for him... how much did he spend on it?
The land area of Connecticut is about 12,549,000,000 square meters. The land area
of Rhode Island is about 2,707,000,000 square meters. How many times greater is the land area of Connecticut than the land area of Rhode Island?
Answer:
4.636
Step-by-step explanation:
The ratio is the same when it is written in terms of billions of square meters:
CT/RI = 12.549/2.707 ≈ 4.636
The area of CT is about 4.636 times as large as the area of RI.
HELP PLS!
I'm studying for UCAT as I want to get into medicine. I don't understand probability diagrams like these, please explain it to me.
Answer: 80 (choice B)
=========================================================
Explanation:
This is an interesting venn diagram. Each region is either a circle or some kind of arrow shape. The numbers in the regions correspond to the qualities mentioned. For example, the "55" in the circle outside the other arrow regions tells the reader that there are 55 secretaries who are reliable but don't possess any other quality. As another example, the 35 is inside the circle and the left-pointing arrow to tell us that there are 35 people who are reliable and organized.
What we want to find are the values that are in 3 or more regions. There's only two cases when this happens: The 15 and the 65 as they are in the circle, the double arrow, and one of the single pointing arrows. So we have 15+65 = 80 candidates that possess 3 qualities. No person has all four qualities because there isn't a value that's in all four regions at the same time. Or you could note that the left and right pointing arrows do not overlap which is a big clue that there's no way someone could possess all four qualities at once. It might help to trace out the figures using different colors so you can pull apart the four figures.
In a solid cube made up of smaller black and white cubes. The black and white cubes are at alternate places of the larger cube. How many black cubes are there in the above arrangement?
There are 168 black cubes in the arranagement.
A cube has 6 faces. Each face of the cube consists of 25 white cubes and 24 black cubes.
To get the number of black cubes in the arrangement, we will use the equation below;
Number of black cubes = Total number of black cubes on a face * number of small cubes along the edgeNumber of black cubes = 24 * 7Number of black cubes = 168Hence there are 168 black cubes in the arrangement.
Learn more about cubes at https://brainly.com/question/1972490
So im stuck again can anyone help with #4,6,7 TwT srry 2 ask again
- #4 -
y = 12
[] First we will solve for x. Our angles with x are vertical angles, so they can be set equal to each other
8x - 61 = 6x - 13
8x - 48 = 6x
-48 = -2x
24 = x
[] Then, we will plug it into one of the angles (with x) and solve:
8x - 61
8(24) - 61
192 - 61 = 131
[] Last, these are supplementary angles so we can add them together and set it equal to 180:
131 + 3y + 1 = 180
132 + 2y = 180
2y = 48
y = 12
- #6 -
y = 22
[] First we will solve for x. These angles are vertial angles, so we can do the following:
9x + 42 = 15x
42 = 6x
7 = x -> x = 7
[] Then, we will plug it into one of the angles (with x) and solve:
15x = 15(7) = 105
[] Last, we will solve for y. These are supplementary angles so we can add them together and set it equal to 180:
4y - 13 + 105 = 180
4y + 92 = 180
4y = 88
y = 22
- #7 -
y = 9
[] First we will solve for x. They are supplementary angles so we can add them together and set it equal to 180:
x + 21 + 3x + 11 = 180
4x + 32 = 180
4x = 148
x = 37
[] Then, we will plug it into one of the angles (with x) and solve:
3x + 11 = 3(37) + 11 = 111 + 11 = 122
[] Last, we will solve for y. These are vertical angles, so they can be set equal to solve:
122 = 14y - 4
126 = 14y
9 = y
- See attached for where I pulled numbers from -
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
1. 5 3/4 + 5/6 + 2 1/2
2. 3 1/3 - (5 - 1 5/6)
Which condition in the figure below will prove l || m?
Answer:
m<2 + m<3 = 180°
Step-by-step explanation:
Lines intersected by a transversal are parallel if same-side interior angles are supplementary.
Answer: m<2 + m<3 = 180°
Alberto and Kali are selling fruit for a school fundraiser. Customers can buy small boxes of tangerines and large boxes of tangerines. Alberto sold 1 small box of tangerines and 1 large box of tangerines for a total of $25. Kali sold 3 small boxes of tangerines and 9 large boxes of tangerines for a total of $165. What is the cost each of one small box of tangerines and one large box of tangerines?
please help, will give brainliest.
Answer:
s =$10, l = 15, together they are $25
Step-by-step explanation:
Alberto: 1s + 1l = 25
Kali: 3s + 9l = 165
Multiply Alberto x 3: 3s + 3l = 75
Subtract from Kali:
3s + 9l = 165
- 3s + 3l = 75
6l = 90
l = 15, Large = $15.
Substitute into one of the equations: s + l = 25
s + 15 = 25
s = 10
-453 divided by 15 = (simplest form)
Answer:
-453/15 = -30.2
Answer:
-30.2 or -30 1/5
Step-by-step explanation:
Troy pays a one-time rental fee of $25 and $15 per day to rent a bicycle.
Write an expression that gives the amount Troy pays to rent
d days
Answer:
y = 15d + 25 or y = 15x + 25
if the restaurant donated $690 to the soup kitchen what we’re the total sales for the day
Answer:
Total sales = x + $690
Step-by-step explanation:
x = amount of sales in a day
Donated amount = $690
Total sales = amount of sales in a day + Donated amount
Total sales = x + $690
Factorize (x-y)^2+(x-y)
..............answer..
henley needs to calculate the base of a trapezoid, b, given the area, a, in inches. She need to rearrange the formula a=16(b+4). Solve the formula for b in terms of a
Answer:
b = (a/16) - 4
Step-by-step explanation:
a = 16(b + 4)
a = 16b + 64
16b + 64 = a
16b = a - 64
16b/16 = (a/16) - 64/16
b = (a/16) - 4
Answer:
b = a/16 - 4.
Step-by-step explanation:
a=16(b+4)
b+4 = a/16
b = a/16 - 4.
help please I'm stuck on this question
Answer:
120 yd²
Step-by-step explanation:
The floor consists of a square and a triangle
area of square = 10² = 100 yd²
area of triangle = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )
Here b = 4 and h = 10 , then
area = [tex]\frac{1}{2}[/tex] × 4 × 10 = 2 × 10 = 20 yd²
company needs 100 + 20 = 120 yd²
What two numbers multiplied together equal 42 but when added they equal -13
Answer: -7 and -6
Step-by-step explanation:
at what rate of simple interest will ₹4400 amount to ₹5610 in 5 years 6 months
Answer:
0.05 or 5%
Step-by-step explanation:
The formula for simple interest is as follows:
A = P(1+rt), with A representing the final amount, P representing the initial amount, r being the rate, and t being time. Plugging our values in, we have
5610 = 4400(1+5.5r). We know that 5 years and 6 months is 5.5 because 6 months = 0.5 years
5610 = 4400(1+5.5r)
expand
5610 = 4400 + 24200r
subtract 4400 from both sides to isolate the variable and its coefficient
1210 = 24200r
divide both sides by 24200 to isolate the variable
r = 0.05 or 5% as 0.05 * 100 = 5
a store is handing out scratch-off cards to its customers .for each card a customer wins either a coupon or a free t-shirt .the ratio of coupon cards to t-shrits is 9:2 .the total of 8,250 cards how many of the cards are t-shirts cards
Step-by-step explanation:
Ratio 9:2, therefore total number of shares is 11.
because 9+2 = 11
total cards = 8,250
8,250/11 = 750
This is the value for one of the shares.
As the ratio is 9:2 we can find:
9 X 750 : 2 X 750
To see what everyone has won.
T-shirts : 2 X 750 = 1,500.
Hope you understand how it's done, if not leave a comment and I'll try to be more thorough
A tree trunk can be thought of as a cylinder with a height of 1.7 M if the tree trunk has a diameter of 60 cm what is its volume in metres cubed give your answer to 2 decimal place.
The formula for the volume of a cylinder is pi * radius squared * height, or πr^2h.
To find the radius of the cylinder, take the given diameter (60 cm) and divide it by 2. 60 / 2 = 30 cm.
Now we need to either find the height in centimeters or find the radius in meters. Because a centimeter is 1/100 of a meter, we multiply the radius by 100 to get the radius in meters.
We also must square the radius. So 30 cm multiplied by itself equals 900 cm.
Radius: 900 / 100 = 9 m
We have to square the radius before plugging it into the equation because it would mess up the numbers if we didn't (0.3 m squared is 0.09 m, which is very small).
Now we can plug these values into the formula for the volume of a cylinder.
π * r^2 * h = π * 9 m * 1.7 m = ~48.066 cubic meters
Rounded to two decimal places is 48.07 cubic meters.
The volume of the tree trunk is about 48.07 cubic meters.
HELPP PLS I NEED THIS WUICK ILL GIVE BRAINLEST
Answer:
x = 20
Step-by-step explanation:
(2x+10) = 180 - 130
2x + 10 = 50
2x= 40
x = 20
hope this helps! :)
what is 7/8 x 4 ? ( 7/8 is a fraction)
Answer:
7/2 or 3 1/2
Step-by-step explanation:
7/8*4/1=28/8
Simplify= 7/2 or as a mixed fraction = 3 1/2
Hope this helps
Can I have the brainliest if I am right?
Plz help ToT I'm horrible at math
Answer: 126
Step-by-step explanation:
A=2(wl+hl+hw)
What is meant by a stratified sample?
Answer:
A stratified random sampling involves dividing the entire population into homogeneous groups called strata (plural for stratum). Random samples are then selected from each stratum. ... A random sample from each stratum is taken in a number proportional to the stratum's size when compared to the population.
Answer:
Sampling that is used to represent different groups depending on their different qualities.
Hope that helps. x
Two forces of 100 Newtons and 25 Newtons
act concurrently on an object. These two forces
could have a resultant force of
A) 0 N
B) 50 N
C) 100 N
D) 150 N
Answer:
100 N
Step-by-step explanation:
Use Pythagorean Theorm to solve:
a2 + b2 = c2
(100)2 + (25)2 = c2
10000 + 625 = c2
10625
Take the square root
c2= 100N
Your Answer: 100 N
Ricky spends $103. 19 in additional interest and charges on monthly payments as the result of a prior bankruptcy. If Ricky had been able to save this money for one year and then put it into a savings account earning 3. 1% simple interest, how much money could he have in savings after two more years? a. $1,238. 28 b. $1,276. 67 c. $1,315. 06 d. $2,476. 56.
The amount of money he could have in savings after two more years is:c. $1,315. 06.
First step is to calculate the 12 month saving
Saving= 12 month × $103.19
Saving = $1238.28
Second step is to calculate the interest earned
Interest = Prt
Interest= $1238.28×·0.031×1
Interest= $38.39
Third step is to calculate the balance after 2 years
Saving= $1238.28 +(2 years × $38.39)
Saving= $1238.28 +$76.78
Saving= $1315.06
Inconclusion the amount of money he could have in savings after two more years is:c. $1,315. 06.
Learn more about interest here:
https://brainly.com/question/16134508
4. What is 20% of 25?
Answer:
5 because 20 percent in a fraction is 1/5 so you would just divide 25 by 5. Or you could do 25 times .2 and your answer is still 5.
Step-by-step explanation:
20% of 25 is 5
25 Percentages
1% = 0.25
5% = 1.25
10% = 2.5
15% = 3.75
20% = 5