Caroline, Colin & Sarah share some money.Caroline will get [tex]\dfrac{2}{3}[/tex] when Caroline, Colin & Sarah share some money.
What is the ratio?The ratio defined as the sharing of the two or three things or it represent that one thing or number is how many times to the other.
One part is excluded in the problem. That part is:
"Caroline gets [tex]\dfrac{1}{9}[/tex] of the money."
If Caroline gets 1/9th, then remaining is:
[tex]1-\dfrac{1}{9}=\dfrac{8}{9}[/tex]
Colin and Sarah share in ratio 3 is to 1, that means 3 + 1 = 4 parts...
8/9th in 4 parts means, each part is:
[tex]\dfrac{\dfrac{8}{9}}{4}=\dfrac{2}{9}[/tex]
We know Colin gets "3" parts of the total, each part is (2/9)th, so 3 parts would be:
[tex]3\times \dfrac{2}{9}=\dfrac{6}{9}=\dfrac{2}{3}[/tex]
Colin gets [tex]\dfrac{2}{3}[/tex] money when three of them share money.
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H
3.
6x
++
For this rectangle, find x.
15
180
90
6
k
Answer:
x =15
Step-by-step explanation:
its a rectangle all interior angles must be equal to 90 so 6x=90
divide by 6 to get x on its own and you get 15
Victoria wants to purchase a tablet. She has $130 to spend. She finds one that regularly sells for $139.99 and is on sale of 15% off. Sales tax is 7%. How much will Victoria pay for the tablet? Show your work and record your answer in the red box.
Answer:
$127.32
Step-by-step explanation:
Selling price= $139.99
Sale discount= 15% = $139.99 * 0.15 = $21
Discounted price= $139.99 - $21 = $118.99
Sales tax added= 7% = $118.99 * 0.07 = $8.33
Victoria has to pay = $118.99 + $8.33 = $127.32 so she has enough money to buy it with $2.68 left
What is the area of a square if one side is 14 centimeters long?
Answer:
A=a2=142=196cm²
Answer: 196 cm²
hope this helps :)
Answer:
196cm²
Step-by-step explanation:
All of a square's sides are congruent which means if one side is 14cm then all the other sides have to be 14cm as well.
To find the area you multiply the length and the width (A=l*w)
l=14, w=14
14*14=196cm²
15. Chris can run at a constant speed of 12 km/h. How long will it take him to run from
his home to the park, a distance of 0.8 km?
Remember to check that your answer is reasonable.
Answer:
Step-by-step explanation
1= 12
.8 of 1 = 48
so it should only take him 48 minutes since hes not taking a full hour but 0.8 is two of from an hour
what is the negation of x is greater than
39
Step-by-step explanation:
that means the opposite ...
the opposite of
x > 39
is
x <= 39
Find the solution(s) to the system of equations represented in the graph? A circle with a line intersection at (-2,0) and (0,2)
Answer:
This is your teacher if you do this again, I will contact your parents and you will get in big trouble.
Step-by-step explanation:
Which of the following describes how to calculate net pay? Subtract the total deductions from the net pay. Subtract the total deductions from the net pay. Subtract the total deductions from the gross pay. Subtract the total deductions from the gross pay. Add the total deductions to the gross pay. Add the total deductions to the gross pay. Subtract the total deductions from the take-home pay.
Answer:
(b) Subtract the total deductions from the gross pay
Step-by-step explanation:
The term "net pay" is applied to the pay after deductions are subtracted. It is also called "take-home pay."
The pay computed based on earnings, commissions, credits, and bonuses, before any deductions, is called the "gross pay."
net pay = gross pay - deductions
Net pay is calculated by subtracting total deductions from gross pay.
Billy purchased $100$ shirts at a cost of $\$15$ each and planned to resell them. The first week he sold some of them for $\$25$ each. The second week he sold the rest for $\$20$ each. If his total profit was $\$600$, how many shirts did he sell the first week?
Answer:
Let the number of shirts he sold the first week = x and the number sold the second week = 100 - x
So we have
[Sales] - [Cost] = Profit
[25x + 20(100 - x)] - [15 * 100] = 600 simplify
25x + 2000 - 20x - 1500 = 600
5x + 500 = 600 subtract 500 from both sides
5x = 100 divide both sides by 5
x = 20 = the number of shirts sold the first week
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
Let x = number of shirts sold in Week 1
Let y = number of shirts sold in Week 2
Profit = Selling price - cost price
If Billy purchased the shirts at a cost of $15 each, then
Week 1: Profit per shirt = $25 - $15 = $10Week 2: Profit per shirt = $20 - $15 = $5Equation 1
Total of 100 shirts purchased:
⇒ x + y = 100
Equation 2
Total profit of $600:
⇒ 10x + 5y = 600
Rewrite Equation 1 to make y the subject:
⇒ y = 100 - x
Substitute this into Equation 2 and solve for x:
⇒ 10x + 5(100 - x) = 600
⇒ 10x + 500 - 5x = 600
⇒ 10x - 5x + 500 = 600
⇒ 5x + 500 = 600
⇒ 5x = 600 - 500
⇒ 5x = 100
⇒ x = 100 ÷ 5
⇒ x = 20
Therefore, Billy sold 20 shirts in his first week.
I will give brainliest and 40 points, please help
Which equation represents the line that passes through the point (4, -5) and is
perpendicular to the line x + 2y = 5?
А
x - 2y = -14
B
x + 2y = -6
C 2x + y = 3
D
2x - y = 13
Answer:
D. 2x - y = 13
Step-by-step explanation:
We are given the line x + 2y =5
We want to find the equation that is perpendicular to this line, and that also passes through (4, -5)
Perpendicular lines have slopes that multiply to -1
First, let's find the slope of the line
The line is currently in standard form (ax+by=c), which doesn't show the slope; we can convert this line into slope-intercept form (y=mx+b, where m is the slope and b is the y intercept)
To do that, we will need to solve the equation for y
Here it is:
x + 2y = 5
Subtract x from both sides
2y = -x + 5
Divide both sides by 2
y = -1/2x + 5/2
The slope of the line is -1/2
Now, to find the slope of the line perpendicular to it, use this equation:
-1/2m = -1
Multiply both sides by -2
m = 2
The slope of the line perpendicular to it is 2
Here is the equation of the line so far in slope-intercept form
y = 2x + b
We need to find b
As the equation passes through the point (4, -5), we can use it to help solve for b.
Substitute 4 as x and -5 as y.
-5 = 2(4) + b
Multiply
-5 = 8 + b
Subtract 8 from both sides
-13 = b
This is our line:
y = 2x - 13
Even though this is in slope-intercept form, all of the options in your question are in standard form. Ergo, we must convert the line into standard form.
To do this, we can subtract 2x from both sides, as in standard form, x and y are on the same side
-2x + y = -13
Now multiply both sides by -1
2x - y = 13
This makes the answer D.
What is the value of 0.8–0.6? Write your answer as a fraction in lowest terms
Given expression:
[tex]0.8 - 0.6[/tex]To simplify the expression as a fraction in simplest form, let us multiply both terms by 10. Then, both terms must also be divided by 10.
[tex]\implies \dfrac{[10(0.8) - 10(0.6)]}{10}[/tex]
[tex]\implies \dfrac{[8 - 6]}{10}[/tex]
[tex]\implies \dfrac{[2]}{10} = \dfrac{2}{10}[/tex]
When 2/10 is simplified in lowest terms, we get;
[tex]\implies \dfrac{2}{10} \implies \dfrac{1 \times 2}{5 \times 2} \implies \dfrac{1}{5}[/tex]
Therefore, 0.8 - 0.6 in fraction form is 1/5.
find the volume of this figure. round your answer to the nearest hundredth. if necessary
radius=8m
height=12m
#3
Factor completely.
5x² - 20x + 20 =
Answer:
[tex]5(x-2)^2[/tex]
Step-by-step explanation:
[tex]5x^2-20x+20\\=5(x^2-4x+4)\\=5(x-2)(x-2)\\=5(x-2)^2[/tex]
solve for y
y/2 = x
thank you
Answer:
[tex] \frac{y}{2} = x \\ \\ y = 2x[/tex]
2 times a number is 62 less than 284 , find the number
Answer:
The number is 111
Step-by-step explanation:
284-62= 222
2x111=284
Answer:
x = 111.
Step-by-step explanation:
Based on the given conditions, formulate: 2 * x = 284 - 62 Calculate the sum or difference:2 x = 222
What is the domain of the function graphed below?
O(-2, ∞) O(-3,4] and [7, ∞). O(-∞,4). O [-2,0] and (7, ∞)
Using it's concept, it is found that the domain of the function graphed below is given by:
[tex](-2,4][/tex] and [tex][7, \infty)[/tex].
What is the domain of a function?It is the set that contains all possible input values for the function. In a graph, it is given by the values of x.
In this problem, x assumes values greater than -2 and less or equal than 4, and then values of 7 or greater, hence the domain is given by:
[tex](-2,4][/tex] and [tex][7, \infty)[/tex].
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Complete the table to show the area of each circle.
Answer: look at my work its 10 pi cm ^2
Step-by-step explanation:
Answer:
Below in bold.
Step-by-step explanation:
Area of:
The large circle = π r^2 = π * 10^2 = 100π
The small circle = π * 5^2 = 25π.
I need help please I’m confused
Answer:
the answer is bottom left trust
Answer:
bottom left is the answer
Step-by-step explanation:
PLEASE HELP?! IM SO CONFUSED!!
Answer:
C.
Step-by-step explanation:
-3 7/8 rounds down to -4
4.63 rounds up to 5
-4 x 6 + 5
-24 + 5
-19
her answer (-19.14) also rounds to -19
So yes, it is reasonable and the correct response is C.
Next → Post Test: The Pythagorean Theorem and Volume
1
Select the correct answer from each drop-down menu.
50⁰
Z
45⁰
529
In triangle HJK shown above what is the measure of ∠J in degrees
Angles in a triangle adds up to 180
180 - (25.5 +120.2) = 34.3
So, missing angle is 34.3 degrees
Hope this helps!
A circle has radius 9.5 cm. Find the length of the arc intercepted by a central angle with measure 120°
Answer:
Step-by-step explanation:
Discussion
If the radius goes through 1 rotation. The "angle" gone through is 360 degrees. So the method is to figure out circumference of the circle, multiply this by a fraction involving 120, and you are done.
Formula
Arc Length = (120/360) * 2 * pi * r Substitute values into this equation.
Givens
Central angle = 120
r = 9.5
Solution
Arc Length = (120/360) * 2 * 3.14 * 9.5
Arc Length = (0.333) * 2 * 3.14 * 9.5
Arc Length = 19.87 cm
Your hair is growing at 1 inch per month. You got your hair cut to 4 inches in length. Write and equation that gives the length of the hair, y, in terms of the months since your haircut, x
Answer:
Your hair grows 2 to 4 inches in 4 months, 4 to 6 inches in 9 months, and 6 to 8 inches in a year. Though this is how the usual growth cycle works, it also depends on seasonal changes, hair and scalp health, medications, hormonal changes, and diet among other factors.
Step-by-step explanation:
Solve the following equation: 3t = 21
3t=21
[tex]t = \frac{21}{3} \\ t = \frac{ \cancel{{21}}{{}^{\:\:\:7}}}{\cancel3} \\ t = 7 \: \: answer[/tex]
a. Lily paid $6 for 3/8 lb of nuts.
What is the unit rate as complex fraction (simplify)
Answer:
Ib = $16 per lb
Step-by-step explanation:
Students in a school were asked to collect old bottles as part of a recycling drive. Some of the data recorded at the drive is shown in the histogram below:
A histogram is shown with title Recycle Drive Collection. On the horizontal axis the title is Number of bottles. The title on the vertical axis is Students. The range on the horizontal axis is 0 to 3, 4 to 7, and 8 to 11. The values on the vertical axis are from 0 to 10 at intervals of 1. The bar for the first range is till 3, the bar for the second range is till 6, the bar for the third range is till 1.
Which information is not provided in the histogram?
The total number of students who collected bottles
The number of students who collected exactly 9 bottles
The number of students who collected 3 or fewer bottles
The total number of students who collected 7 or fewer bottles
*will Mark Brainliest*
Answer:
I'm very sure it is B. The number of students who collected exactly 9 bottles.
Step-by-step explanation:
A is wrong because it does show the total amount of students.
C is wrong because it does show the amount of students that collected 3 or fewer bottles.
D is wrong because it does show the total number of students who collected 7 or fewer bottles.
So, B would be the only correct answers. Hope I helped!! Pls mark brainliest if I did help.
Answer:
The answer your looking for would be B. "The number of students who collected exactly 9 bottles"
Step-by-step explanation:
I took the FLVS test.
The question is attached.
Answer:
B
Step-by-step explanation:
1/8 + 1/8 + 1/8 + 2/8 + 5/8 = 10/8 (The total amount of oj in each jug.)
(10/8)/5 = 2/8 (5 for the amount of jugs.)
2/8 = 1/4
Can someone actually HELP me
Answer:
See below
Step-by-step explanation:
This is two parallel lines crossed by a TRANSVERSAL forming angles 1 - 8 , which are ALL transversal angles .
Angle 2 = angle 6 = angle 4 = angle 8 (congruent)
Angle 1 and angle 3 and angle 5 and angle 7 are also all equal
A 'straight angle' is a straight line and has a measure of 180 degrees
look at angle 1 and angle 2 ....they add up to a straight line = 180 degrees or angle 1 and angle 6 angle 1 and angle 4 each add to 180 degrees
Any angle in the underlined list above added to any angle in the bold list from above add to 180 degrees ....
Answer + Step-by-step explanation:
Angles 2 and 6 are transversal and congruent . (True) (Reason : Corresponding angles)
Angles 1 and 7 are transversal and congruent . (True) (Reason : Alternate Exterior Angles)
Angles 4 and 6 are transversal and congruent . (True) (Reason : Alternate Interior Angles)
Angles 5 and 7 are transversal and congruent . (True) (Reason : vertically opposite Angles)
What degree is a straight angle ? (180 degrees)
What would angles 1 and 6 add up to ? (180 degrees)
What would angles 8 and 3 add up to ? (180 degrees)
………………………………………………………………………………………
Angles W and Z add up to ? (180 degrees)
The sum of the 3 angles in a triangle (180 degrees)
Angle Z equals what measure ? (180 - (60+45) = 180 - 105 = 75 degrees)
Angle W equals what (180 - Z = 180 - 75 = 105 degrees)
pls help plssssss thank you 20 points
Answer:
7x - 10 < 11
Step-by-step explanation:
B
help please !!!!!!!!!!
Answer:
it is -3
Step-by-step explanation:
go to x=-4 and see what the y value of the line is
Answer:
1
Step-by-step explanation:
Find the equation of the line. Start with the y-intercept, which is -1. Next find the slope by doing rise/run. To get from (0, -1) to (2, 0) you rise 1 and run 2, so the slope is 1/2.
The equation is y= 1/2x -1.
Plugin 4 for x and solve for y.
y = 1/2(4) -1
y = 2 - 1
y = 1