Answers
Answer:
The constant proportionally of the graph is:
k = 8Step-by-step explanation:
We know that when 'y' varies directly with 'x', we get the equation
y ∝ x
y = kx
k = y/x
here 'k' is called the constant of proportionality.
From the graph, it is clear that:
at x = 0.5, the value of y = 4
so substituting x = 0.5 and y = 4 in the equation
k = y/x
k = 4/0.5
k = 8
at x = 1, the value of y = 8
so substituting x = 1 and y = 8 in the equation
k = y/x
k = 8/1
k = 8
Therefore, the constant proportionally of the graph is:
k = 8Related Questions
Your test in math class has problems worth 2 points and problems worth 4 points. Altogether the test has 100 points. Write an equation that represents the total points on the test formed by the number of 2-point problems and the number of 4-point problems.
Answers
Answer:
100 = 2x + 4y
Step-by-step explanation:
William fills 1/3 of a water bottle in 1/9 of a minute. How much time will it take him to fill the bottle
Answers
Answer:
3/9 = 1/3 of a minute or 20 seconds
Step-by-step explanation:
Answer:
1/3 of a minute
Step-by-step explanation:
1/3 x 3 = 1 bottle
1/9 x 3 = the time
1/9 x 3 = 3/9 or 1/3
Question need help very hard pls
Answers
9y-7=56 y=?: show work
Answers
Answer:
53.12
Step-by-step explanation:
1234567890
Answer:
y = 7
Step-by-step explanation:
9y - 7 = 56
+7 +7
9y = 63
/9 /9
y = 7
(/9 = divided by 9)
check : 9 x 7 = 63 ( 63 - 7 = 56) correct!
david has twice as many cousins as becky
becky has twice as many cousins as nishat
nishat has 6 cousins
how many cousins does david have?
Answers
Nishat has 6 cousins
Becky has twice as many cousins, so that would mean Becky has 12 cousins
David has twice as many cousins as Becky, so David has 24 cousins
I feel bad for David
Which gives 28 + 24 as a product of the GCF and a sum?
a. 2 (14 + 12)
b. 4 (7 + 6)
c. 2 (26 + 22)
d. 40 + 12
Answers
Answer:
b. 4 (7 + 6)
Step-by-step explanation:
Finding the GCF between 28 and 24:
We keep dividing while both numbers can be divided by the same factor. So
28 - 24|2
14 - 12|2
7 - 6
There is no number for which 7 and 6 are both divisible by, so the GCF between 28 and 24 is 4.
Simplifying in function of the GCF:
Now, we put 4 in evidence, and divide the rest of the expression by 4. So
[tex]28 + 24 = 4(\frac{28}{4} + \frac{24}{4}) = 4(7 + 6)[/tex]
The answer is given by option b.
Hanukkah lasts for 8 nights. You have four family members to purchase
gifts for as well as a new Menorah for your home. The Menorah costs
$42.00. If you have a total of $386.00 to spend, how much can you spend on
each family member?
Answers
Answer
86
Step-by-step explanation:
You can spend 86 on each family member. 386-42=344
344/4=86
Solve the following system of equations by graphing.
y = -1/2 - 1
y = x - 4
Answers
Answer:
Convert Equation 1 to slope-intercept form.
y
=
−
x
+
4
The two equations have the same slope,
m
=
−
1
, therefore they are perpendicular and there is no solution to this linear system. The two lines have no points in common.
graph{(x+y-1)(x+y-4)=0 [-10, 10, -5, 5]}
Step-by-step explanation:
The two triangles above are similar. What is the value of x ?
A) 5
B) 7.5
C) 8
D) 13 1/5
Answers
Answer:
7.5
Step-by-step explanation:
[tex]\frac{6}{8} =\frac{x}{10}\\crossmultiply\\60=8x\\solvefor x\\ x=7.5[/tex]
Similar triangles are those triangles whose corresponding sides are in the same ratio. In the two similar triangles, the value of x is 7.5 units.
What are similar triangles?Similar triangles are those triangles whose corresponding sides are in the same ratio. And the corresponding angles measure the same. It is denoted by the ‘~’ symbol.
Given that the two of the given triangles are similar triangles. Therefore, the ratio of the sides of the triangle can be written as,
6/x = 8/10
Solving the ratio for x,
x = (6×10)/8
x = 60/8
x = 7.5 units
Hence, in the two similar triangles, the value of x is 7.5 units.
Learn more about Similar Triangles here:
https://brainly.com/question/25882965
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select all that applies
Answers
Answer:
A
C
D
F
G
Step-by-step explanation:
You can pretty easily find the answer by just going through each statement and analyzing what it means. For A it asks if AB is parallel to DC (parallel means the lines could go on for infinity without ever touching) Looking at the shape we can see that AB and DC are on opposite sides and are slanted in the same direction meaning that they are in fact parallel. This could be correct. The next asks about angle BCD and whether or not it is congruent to CDA (congruent is just another word for the same) Angle BCD is the top right angle and we know this by following the letters on the shape in the order they were asked in the question. We can see that these two angles are not congruent just via observation as BCD is an acute angle (less than 90 degrees with a right angle as a reference) and CDA is an obtuse angle (greater than 90 degrees) This answer choice is incorrect. Next up we have BPC and APD and it asks whether or not they are congruent. We can apply the same logic to the previous choice and find out that they are in fact congruent angles which is also backed up by the rule of vertical angles which states that all vertical angles are congruent. This means C is also a correct option. Next up is line BC compared with AD which are very obviously congruent just by looking at the image, but we also know that opposite sides of a parallelogram are always congruent. This answer choice is correct also. Next up it asks us about AC in comparison to BD which are NOT congruent because each line has a different length due to the fact of the angles they are coming from. AP is in fact congruent to PC because it is just a continual of the original line which stems from halfway across the middle of the parallelogram. This IS a correct choice. Next up it asks about supplementary angles and it is important to understand what that is before you can accurately answer the question. Supplementary angles are angles which will total 180 degrees and the question specifically asks in relation to angles BAD and ADC. These angles are in fact supplementary because they are across from each other at the base of the parallelogram and we know from theories that these angles will always be supplementary in these shapes. G is also a correct answer. Last but not least we have a question asking us about APB and APD and whether or not they are vertical angles. Vertical angles are angles which are across from each other either vertically as the name sake says or horizontally, but they have to be directly across from each other. Looking at the image we can clearly see that these angles are NOT across from each other but instead are adjacent to each other (next to each other) meaning the last option is not correct. This leaves A,C,D,F, and G as the correct answers.
This assignment is due in a little can you guys help me, please?
Answers
Answer and Step-by-step explanation:
First, read through the phrase and then break it down.
4 less than the product (multiplying) of 7 and a number (can be noted as 'x')
7x - 4 is the answer, since 4 will be less than the product of 7 and a number, with x being the placeholder.
#teamtrees #WAP (Water and Plant)
Given the following formula, solve for v.
S=1/2a2v+c
Answers
Answer:
Since there is no initial condition, the exact value of v cannot be determined, but you can set the equation up for a general evaluation of the situation.
s = 1/2a^2*v+c
First you need to subtract c from both sides to get
s-c = 1/2a^2*v
then you can just divide both sides by 1/2a^2 to get v
(2(s-c))/a^2=v
when dividing a fraction, such as 1/2, make sure to keep in mind that you're really multiplying the flipped version, so that dividing by 1/2 means multiplying by 2.
Step-by-step explanation:
If p varies inversely as Q2 and p = 4 when Q =0.5, find p when Q = 1.5
Answers
Answer:
a) k = 8
b) p = 12
Step-by-step explanation:
Step(i):-
Given that p varies inversely as Q
p∝ Q
p = k Q
Given that p = 4 and Q = 0.5
4 = k (0.5)
k = [tex]\frac{4}{0.5} = 8[/tex]
Step(ii):-
Given that Q = 1.5
p = k Q
p = 8 (1.5)
p = 12
The cost of tuition at a 2 year school is $14,000 per academic year. Todd is eligible for $6,500 in financial aid to cover tuition each year. He will save money for one year to cover the remaining cost of tuition for his two years of school.
What is the minimum amount of money he needs to save each month?
$540
$625
$675
$1,250
Answers
Answer:
$625
Step-by-step explanation:
If Todd has to pay $14,000 in tuition for his school each year and uses $6,500 in financial aid each year all for 2 years, the money he needs to save can be modeled by:
2(-$14000 + $6500) + 2(12x) = 0.
x is the minimum amount of money he needs to save in order to cover this expense without debt.
Thus 2(-$14000 + $6500) + 2(12x) = 0 →
2(-$7500) + 24x = 0 → -$15000 + 24x = 0 →
24x = $15000 → x = $625
Answer:
$625
Step-by-step explanation:
If Todd has to pay $14,000 in tuition for his school each year and uses $6,500 in financial aid each year all for 2 years, the money he needs to save can be modeled by:
2(-$14000 + $6500) + 2(12x) = 0.
x is the minimum amount of money he needs to save in order to cover this expense without debt.
Thus 2(-$14000 + $6500) + 2(12x) = 0 →
2(-$7500) + 24x = 0 → -$15000 + 24x = 0 →
24x = $15000 → x = $625
Akiko shot 204 baskets in 17 minutes. Find her basket rate in baskets per minute
Answers
Answer:
204/17
Step-by-step explanation:
and then you should get your answer
Answer:
12 baskets/per minute
Step-by-step explanation:
so u know that she can shoot in 204 baskets in 17 u just need to take 204 divided by 7 to figure out how many she makes per minute. ( 204 ÷ 7 = 12 )
I need help :D NOW or else
Answers
Answer:
plasma
Step-by-step explanation:
just not photosynthesis or gravity so it has to be plasma
also:
The aurora borealis (northern lights) form when charged particles emitted from the sun during a solar flare penetrate the earth's magnetic shield and collide with atoms and molecules in our atmosphere.
and
Because it consists of charged particles, plasma can conduct electricity and respond to a magnetic field.
^^bolded stuff is connected points to make plasma the answer
1) Can a line have a slope of 1.25? Exp
Answers
The box plot represents a data set. What is the range of the middle 50% of the data?
Answers
Answer:
7
explanation:
15 - 8 = 7
The range of the middle 50% of the data is 7.
We have a set of numbers plotted on a number line.
We have to find the range of middle 50% of the data.
What is interquartile range ?The interquartile range abbreviated as (IQR) is a measure of statistical dispersion, which is the spread of the data. The IQR is also called the mid-spread, middle 50% and fourth spread.
According to the question -
The Interquartile range is the difference of third quartile and first quartile.
From the given figure -
First quartile = Q[1] = 8
Third quartile = Q[3] = 15
Range of IQR = Q[3] - Q[1] = 15 - 8 = 7
Hence, the range of the middle 50% of the data is 7
To solve more questions on Interquartile range, visit the link below-
https://brainly.com/question/13055504
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13.5 x 12.1 what does it equal
Answers
Answer:
163.35
Step-by-step explanation:
13.5 x 12.1 = 163.35
How many 1/6 are in 2/3
Answers
Answer:
4
Step-by-step explanation:
2/3 ÷ 1/6 = 2/3 · 6/1 = 4
Answer:
It takes 4 one-sixth sized pieces to make the two-thirds. and we can see that there 1 \times 6 = 6 sixths in a whole.
Hope you enjoy !
emily sold 2 small boxes of grapefruits and 3 large boxes of grape fruit for a total $61 chelsea sold 3 small boxes of grapefruit and 3 large boxes of grapefruit for a total of $72
what is the cost of one small box of grape fruit and one large box of grapefruit
Answers
Answer:
small box costs $11, large box costs $13
Step-by-step explanation:
2S + 3L = 61
3S + 3L = 72
Eliminate the L terms: subtract first equation from second equation
2S + 3L = 61
-3S - 3L = -72
-------------------
-S = -11
S = 11
2S + 3L = 61
2(11)+3L = 61
3L = 39
L = 13
small box costs $11, large box costs $13
Answer:
no tienes idea de lo que estoy diciendo, chico
Step-by-step explanation:
The ratio of the sides of a triangle is 2:6:7. If the perimeter of the triangle is 195 meters, what is the length of the shortest side?
Answers
Answer:
The shortest side is 26 units.
Step-by-step explanation:
(2×13)+(6×13)+(7×13) = 195
2×13 = 26
Jason is making pumpkin bread. He needs 4 cups of pumpkin for every 3 cups of sugar. What is the ratio of cups of sugar to cups of pumpkin that Jason will need?
A. 3 to 4
B. 4 to 3
C. 4 to 7
D. 7 to 3
Answers
Answer:
3 to 4 - A
Step-by-step explanation:
Mrs.Hameay is making outfits for the school dance team. She can make 1/4 of an outfit per day. How many days should it take Mrs. Hamway to make 18 outt
Answers
Jason's closet is 4
feet by 5 feet. He has
finished carpeting
half of the closet.
How much space is
left to carpet?
Answers
Answer:
10 feet
Step-by-step explanation:
Nora baked 40 cupcakes. She ate 4 cupcakes and gave 25% of the remaining
cupcakes to her neighbours. How many cupcakes did Nora have left?I want this answer it percentage
Answers
Answer:
27 cupcakes left
In percentage of the number of cupcakes left after she ate 4 = 75%
In percentage of the total number of cupcakes she baked = 67.5%
Step-by-step explanation:
Given that Nora baked 40 cupcakes and ate 4 cupcakes then, the remainder
= 40 - 4
= 36 cupcakes
If she gave 25% of the remaining, the number of cupcakes given
= 25% * 36
= 25/100 * 36
= 9 cupcakes
the number of cupcakes left
= 36 - 9
= 27 cupcakes
In percentage of the number of cupcakes left after she ate 4, this will be
= 100% - 25%
= 75%
In percentage of the total number of cupcakes she baked
= 27/40 * 100%
= 67.5%
Guided Practice
1. A manufacturer gets a shipment of 600 batteries of which 50 are
defective. The quality control manager tests a random sample of
30 batteries in each shipment. Simulate the test by generating random
numbers between 1 and 600. How well does your sample represent the
shipment? Explain. (Explore Activities 1 and 2)
Answers
Answer:
18.33
Step-by-step explanation:
600 -50 ÷ 30
550 ÷30 = 18.333
=
Knowledge Check
Write 51,238 in expanded form.
How do you write 51,238 in expanded form?
Answers
Answer:
50,000+1,000+200+30+8=51,238
Step-by-step explanation:
Answer:
50,000 + 1,000 + 200 + 30 + 8
Step-by-step explanation:
What is the mean income of the following three people surveyed? Person A: S22,000, Person B: $31,000, Person :
$21,000. Round to the nearest $100
Answers
Answer:
$24,700
to get this answer you add all the numbers together so in this case 22,000 31,000 and 21,000 and you get 74,000 then you divide by how many numbers you originally had so in this case 3. so you get 24,666.666666667 and since the tens place is 5 or higher you round the hundreds up one so you get 24,700.
Here's the work
22,000+31,000+21,000=74,000
74,000÷3=24,666.666666667
which rounds to 24,700
WHAT INFORMATION DOES THE CORRELATION COEFFICIENT TELL YOU ABOUT A SCATTERPLOT
Answers
Answer:
How close the correlation is. the closer the correlation coefficient is to ±1, the stronger the correlation
Step-by-step explanation: