Answer:
y=4x+c now put (-3,7) into the equation to find the y intercept. 7=4×−3+c. 7=−12+c. c=19.
Step-by-step explanation:
y=mx++c is the general equation with m as the slope.
In this figure, 12.2% of the area is painted blue.
How much of the area is painted blue?
4 cm
1.22 cm?
O 3.05 cm
O 4.27 cm
5 cm
O 5.49 cm
5 cm PLEASE HELP ME?
Answer:
the answer is 4.27
Step-by-step explanation:
Paige is sewing a tent. If the material cost $0.04 per square in, determine how much it will cost her to make the tent.
Describe the transformation that maps the pre-image A to the image A.
A)
translated 8 units up and then reflected across the y-axis
B)
translated 8 units down and then reflected across the y-axis
C)
translated 1 unit to left and then rotated 180° counterclockwise about the
origin
D)
translated 1 unit to right and then rotated 180° counterclockwise about the
origin
Answer:
C) translated 1 unit to the left and then rotated 180° counterclockwise about the origin
Step-by-step explanation:
by inspection, shape A has been translated 1 unit to the left and then rotated 180° counterclockwise about the origin
what is the value if y when x=125
A van is delivering sacks of potatoes to two different shops in the ratio of 3:7.
One shop has 28 more bags than the other.
How many bags of potatoes are on the van at the start.
69
How many bags of potatoes are on the van at the start.
The total number of bags the van have at the starting is 70.
What is ratio?Ratio is a term that is used to compare two or more numbers. It is used to indicate how big or small a quantity is when compared to another.
According to the given question.
The sacks of potatoes delivered in two different shops are in the ratio 3:7.
Also, one shop has 28 more bags than the other.
Let the number of bags of potatoes at one shop be x.
Then, the bags of potatoes in another shop = x + 28
Therefore,
[tex]\frac{x}{28 + x } =\frac{3}{7}[/tex]
⇒ [tex]7x = 3(28 + x)[/tex]
⇒ [tex]7x = 84 + 3x[/tex]
⇒ [tex]4x = 84[/tex]
⇒[tex]x = 21[/tex]
So, the total number of bags
[tex]=x + (x + 28)[/tex]
[tex]=2x + 28[/tex]
[tex]= 2(21) + 28[/tex]
[tex]= 42 + 28[/tex]
[tex]= 70[/tex]
Hence, the total number of bags the van have at the starting is 70.
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A student completes 2/5 of a science project in 3/4 hour. At this rate what fraction of the project can the student complete per hour?
[tex]\begin{array}{ccll} completion&hours\\ \cline{1-2} \frac{2}{5}&\frac{3}{4}\\[1em] x&1 \end{array}\implies \cfrac{~~ \frac{2}{5}~~}{x}=\cfrac{~~ \frac{3}{4}~~}{1}\implies \cfrac{2}{5x}=\cfrac{3}{4} \\\\\\ 8=15x\implies \cfrac{8}{15}=x[/tex]
The fraction of the project that the student can complete per hour is 8/15
What is unit rate?There is independent quantity, and a quantity which depends on it (dependent quantity). When independent quantity moves by a unit measurement (single unit increment), the increment in dependent quantity is called rate of increment of dependent quantity per unit increment in independent quantity.
For this case the problem is asking about the amount of project that can be completed per hour.
The independent quantity is the time spent by student on the project.
The dependent quantity here is the amount of the project completed by the student in the time spent.
Thus, we get the unit rate of amount of project completed per unit amount of time (unit time is one hour here) as:
[tex]R = \dfrac{\text{Amount of project completed}}{\text{Time taken}} = \dfrac{2/5}{3/4} = \dfrac{2}{5} \times \dfrac{4}{3} = \dfrac{8}{15} \: \rm project / hour[/tex]
We used the fact that:
[tex]\dfrac{a}{b} = a \times \dfrac{1}{b}\\\\and\\\dfrac{1}{a/b} = \dfrac{b}{a}[/tex]
Thus, that student can complete the considered project's 8/15 part per hour.
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The table to the right shows the number of people living in a house and the weight of trash (in pounds) at the curb just before
trash pickup. Complete parts (a) through (c) below.
Answer:
Step-by-step explanation:
A = Find the correlation between these numbers by using a computer or a statistical calculator.
R= (0.996)
C = Suppose each house contained exactly twice the number of people, but the weight of the trash was the same. What happens to the correlation when numbers are multiplied by a constant?
(The correlation is
(0.996). The correlation coefficient remains the same when the numbers are multiplied by a positive constant.
Using long division to show the fraction and decimal in each pair are equal 3/4 and 0.75
Answer:
How to show that they are equal.
Step-by-step explanation:
3/4 times 25 equals 75/100 and then when you turn it into a decimal it is 0.75. That is why they are equal.
1. The difference between the product of nine and a number and three times the number.
2. The difference between five times a number and four times the number.
Answer:
Question 1:
• Let the number be x
[tex]{ \tt{9x - 3x}} \\ { \boxed{ \tt{ = 6x}}}[/tex]
Question 2:
[tex]{ \tt{5x - 4x}} \\ { \boxed { \tt{ = x}}}[/tex]
The numbers are 6x and x.
What is Subtraction?Subtraction can be done for any numbers or algebraic expressions. It is the process of taking out certain value from a given amount of number.
The process of subtraction can also be termed as finding difference.
1) Let the number be x.
product of nine and a number means 9x.
three times the number means 3x.
The difference between the product of nine and a number and three times the number means that 9x - 3x.
9x - 3x = 6x
2) Let the number be x.
five times a number is 5x
four times the number is 4x
The difference between five times a number and four times the number is 5x - 4x = x.
Hence the numbers are 6x and x respectively.
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What single amount on April 1, 2012, is equivalent to a series of equal, semiannual cash flows of $5200 that starts with a cash flow on January 1, 2010, and ends with a cash flow on January 1, 2019? The interest rate is 6% and compounding is quarterly?
The single amount on April 1, 2012 that is equivalent to a series of equal, semiannual cash flows of $5200 is; $57,023.2
Compound Interest FactorWe are given;
Semi annual cash Flow; A_sa = $5200
Interest rate; r = 6%
From April 1, 2012 to January 1 2019 is 6.75 years
Thus; Period; T = 6.75 years
Cash flows is semi annual. Thus; t_a = 1/2
Thus; n_sa = 6.75 * 2
n_sa = 13.5
i_sa = 6% * 1/4 = 1.5%
Thus;
Single amount = 5200 * (P/A, 1.5%, 13.5)
From compound interest tables, P/A at n = 13.5 and at i = 3% by interpolation gives 10.966. Thus;
Single amount = 5200 * 12.137
Single amount = $63,112.4
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A piece of wood for a sign is shaped like a parallelogram with a base length of 14 inches and a height of 9 inches. A small tube of paint will cover 24 square inches. How many tubes of paint will be needed to paint the sign? Enter your answer in the box.
Answer:
The answer is 6
Step-by-step explanation:
I got if from k12 after taking the test!
Answer:
6 tubes
Step-by-step explanation:
When 30% of a number is added to the number, the result is 156. what is the number?
Answer: 120
Step-by-step explanation:
Let the number = x.
Setting up the equation, we get
x+0.3*x = 156
1.3x = 156
x = 120
Answer:
120
Step-by-step explanation:
x= the number
x+0.3*x = 156
1.3x = 156
x = 120
hope this helps
Solve for elimination
1.−2x−5y=−19
2.3x+2y=−10
A plane took off at 11:55 and arrived 2 hours 40 minutes later. What time did it arrive?
let a, b and c be real numbers, prove that a+b=b+a
Answer:
Check below
Step-by-step explanation:
a = 1
b = 1
a + b = b + a
1 + 1 = 1 + 1
2 = 2
Explain why a change from 20 to 40 is a 100% increase, but a change from 40 to 20 is a 50% decrease. I don't under stand it
Answer:
Step-by-step explanation:
40 to 20 is a 50% decrease because you are halving it
20 to 40 is a 100% increase because you are adding 100% of 20 to 20 and you get 40.
Answer:
I hope this helps :)
Step-by-step explanation:
For 20 to 40, how much are you adding to your first number (20) to get your second number (40)?
You are adding 20 to your original number, which is the same amountSince you add the same amount to your original number (100% of your original number,) it is a 100% increase.For example: a 50% increase from 20 would be adding 50% of your original number (20) to the original number (e.g. 20 + (20/2) = 30 --> 50% increase)For 40 to 20, how much are you decreasing from your first number (40) to get your second number (20)?
You are subtracting 20 from your original number, which is half of the amountSince you subtract half (50%) of your original number, it is a 50% decreaseFor example: a 50% decrease from 30 would be taking away 50% of your original number (30) (e.g. 30 - (30/2) = 15 --> 50% decrease)if you had 18 boxes and had to shade 1/6 of the shape how much would you shade?
Answer:
3
Step-by-step explanation: First find out 1/6 of 18 which is 3 so that's your answer
Choose Always, Sometimes, or Never for each statement
Answer:
a)never b)always c)never d)sometimes.
Step-by-step explanation:
I’ll try to explain by giving examples for each:
a) let’s take n=-1 => 2*1/10= 2/10 =0,2 = > the number won’t be negative => answer:never.
b)let’s take q=-2 => (-2)*100000=-200000 => answer:always.
c)let’s take m=-2 => 6*1/100 = 6/100 =0,06; and 60^-2 = 1/60^2=1/360=0.02... => answer:never.
d)let’s take 1) p=1000; => 1000/1000=1. 2) p= 2 => less than 1. => answer:sometimes.
If one card is drawn from a deck, find the probability of drawing a 4 or a spade,
Express your answer as a fraction, reduced to lowest terms,
Answer:
4/52 for drawing a 4 and 13/52 for drawing a spade from a deck
helpppp pls. Rotate traingle TUV 90 degrees clockwise around the origin
Solve the following recurrence relation:
=−1 +; 1 =0.
Answer:
Step-by-step explanation:
200 random people were surveyed at an amusement park and asked if they ride roller
coasters and if they play games while at the park. 130 of those surveyed ride roller
coasters. 86 of those surveyed play games. 70 of those surveyed ride roller coasters and
play games. Use the formulas in the text to answer the following questions.
a) What is the probability a person at the amusement park rides roller coasters or plays
games?
b) What is the probability a person at the amusement park does ride roller coasters?
c) Are the events of a person riding roller coasters and playing games mutually exclusive?
Answer:
let the P(ride roller coaster) be A and P(play games) be B
a. P(AUB) = P(A) + P(B) - P(AnB)
= 130/200 + 86/200 - 70/20.
= 146/200
= 73/100
b. P(A) = 130/200
= 13/20
c. not mutually exclusive
Jerry walked a dog from 6:40 a.m. to 7:30 a.m. one day. If he was paid at the rate of $6 per hour, how much did he earn that day?
Answer:
$5
Step-by-step explanation:
6:40 to 7:30 is 50 minutes
6 per hour
6÷6=1
1x5=5
hope this helps
If Axel can make 6 apple pies, how many people can he give a whole apple pie to
Answer:
6 people
Step-by-step explanation:
6 whole pies for 6 people
Answer:
6
Step-by-step explanation:
If each apple pie is 1 whole and Axel is giving 1 whole pie out to everybody then you take the amount of pies and that's your answer
What's the solution set of -5 < 2x - 1 < 3?
Answer:
The answer to your question is...the first option; Infinitely many solutions
Hope this helped!
Answer:
Option 2: –2 < x < 2
Step-by-step explanation:
I'm at the same school as you and I got it correct on the self check
Which expression(s) represent(s)®3 times the sum of sand 4"?
Select ALL that apply.
0 (12+2)3
O 3x +4
0
(3+2)
32 + 12
03(4+2)
Tom has a rope that is 5 3/8 feet long.if he cuts 1 2/3 feet off find the length of the rope remaining (show your work)
Answer:
3 17/24
Step-by-step explanation:
= (5 - 1) + (3/8 - 2/3)
= 4 + 3/8x3/3 - 2/3 x 8/8
=4 + 9/24 - 16/24
=4 + 9-16/24
=4 + -7/24
=3 17/24
3 17/24
[tex] \: [/tex]
Find the roots of the equation x2 – 3x – m (m + 3) = 0, where m is a constant.
[tex] \: [/tex]
Answer:-m or m+3
Step-by-step explanation:
[tex]x^{2} -3x -(m^{2}+3m) =0\\\\x^{2} -3x -m^{2} -3m=0\\[/tex]
[tex]x^{2} -m^{2} -3x - 3m=0[/tex]
Applying difference of two squares
⇒([tex]x^{2} -m^{2}[/tex])=(x+m)(x-m)
Substituting this for ([tex]x^{2} -m^{2}[/tex])
Factorising -3x-3m=-3(x+m)
(x+m)(x-m)-3(x+m)=0
since we have double (x+m),we'll pick one
⇒(x+m)=0
or (x-m-3)=0
⇒x=-m or x= m+3
Analyze the diagram below and complete the instructions that follow.
Answer:
d
Step-by-step explanation:
tan 60 = x/9. the vertical line bisects the base
x = 9√3
sin60 = x/y
√3/2 = 9√3/y
y = 18
The longer leg of a right triangle is 4 inches longer than the shorter leg. The hypotenuse is 8 inches longer than the shorter leg. Find the side lengths of the
triangle.
Answer:
lengths are 12, 16, and 20
Step-by-step explanation:
let 's' = length of smaller leg
let '4+s' = length of second leg
let '8+s' = length of hypotenuse
Now use the Pythagorean Theorem: a² + b² = c²
s² + (4+s)² = (8+s)²
s² + 16 + 8s + s² = 64 + 16s + s²
2s² + 8s + 16 = 64 + 16s + s²
subtract s² from each side:
s² + 8s + 16 = 64 + 16s
subtract '16s' from each side:
s² - 8s + 16 = 64
subtract 64 from each side:
s² -8s - 48 = 0
factor:
(s+4)(s-12) = 0
's equals -4 and 12 but -4 is discarded as a length so smallest side is 12