Answers
Answer:
a) h = 15
b) x = 4
Step-by-step explanation:
a) set up a proportion:
5 = h
8 24
cross-multiply:
8h = 120
h = 15
b) x + 5 = x + 5 + 15
5x + 1 5x + 1 + 35
cross-multiply:
(x + 5)(5x + 36) = (5x + 1)(x + 20)
5[tex]x^{2}[/tex] + 61x + 180 = 5[tex]x^{2}[/tex] + 101x + 20
180 = 40x + 20
160 = 40x
x = 4
Related Questions
If you spin the spinner, what is the probability of the pointer landing in the y section
Answers
Answer:
1/8
Step-by-step explanation:
Pawl,colin and bria are waiters. One night the restaurant earns tips totalling £78.40 the share the tips in the ratio 2.1.5 how much more does Brian get over colin
Answers
Answer: Brian gets $39.2 more over Colin.
Step-by-step explanation:
Given: Total tip amount = £78.40
The ratio of the share of tips for Pawl, Colin and Bria is 2:1 :5.
Let tip amount for Pawl = 2x, tip amount for Colin = x , tip amount for Bria = 5x
Then, 2x+x+5x= 78.40
[tex]\Rightarrow\ 8x = 78.40\\\\\Rightarrow x=\dfrac{78.40}{8 }\\\\\Rightarrow x=9.8[/tex]
Tip for Colin = $ 9.8 , Tip for Bria = 5($9.8)= $49
Difference = $(49-9.8) = $ 39.2
Hence, Brian gets $39.2 more over Colin.
Shelly kelso's gross pay this month is $6,223. Her earnings to date for this year are $23,631. How much does her employer deduct from her paycheck this month for (a) social security and (b) medicare? 1. A. Find the social security amount
Answers
Answer:
Social Security = $385.83
Medicare = $90.23
Step-by-step explanation:
Social security rate in 2021 is 6.2% on your first $142,800 for the year. Shelly has not reached that threshold so her Social security tax is:
= 6.2% * 6,223
= $385.83
Medicare has no threshold and the rate in 2021 is 1.45%:
= 1.45% * 6,223
= $90.23
2y - 6x = 10
What’s the y intercept and slope and how do I rearrange them in the y=Mx+b form?
Answers
Answer:
Slope/m=3, y-intercept=5
Step-by-step explination
2y-6x=10
Factor out the common term of two
2y/2-6x/2=10/2 /=dividing
y-3x=5
Add 3x to both sides
y-3x+3x=5+3x
Simplify
y=5+3x
To get the slope-intercept form (y=mx+b)
y=3x+5
Who earns more per hour, and what is his or her pay rate?
Answers
Hope this helps
Have a great day/night
Which type of function is shown in the table below?
Answers
Answer:
Linear function
Step-by-step explanation:
None of the X values repeat so its Linear
Please help ASAP !!!
Answers
Please mark BRAINLEST
Please help help help help help im having trouble with this problem what is the answer
Answers
Hope this helps. Also, cool pfp.
Can someone please explain to me how I would do this, I cannot figure out how to do this equation at all!!
Answers
Answer:
First, do 4x*4x. then,16x*16x. next, 64x*64x. and,256x*256x. answer:1024x. Divide 1024x by 8x. answer to that is 128.
Answer:
The expression in simplified form:
[tex]\frac{4x^5}{8x}=\frac{x^4}{2}[/tex]
Step-by-step explanation:
Given the expression
[tex]\frac{4x^5}{8x}[/tex]
We need to simplify the expression.
Simplifying the expression
[tex]\frac{4x^5}{8x}[/tex]
Cancel the common factor: 4
[tex]=\frac{x^5}{2x}[/tex]
Cancel the common factor
[tex]=\frac{x^4}{2}[/tex]
Therefore, the expression in simplified form:
[tex]\frac{4x^5}{8x}=\frac{x^4}{2}[/tex]
What number is 2/5 of 50
Answers
= 100/5
= 20
I dont understand 2/5 of 50
İf 50.2/5
[tex]50. \frac{2}{5} = 50 \div 5 = \frac{2}{5 \div 5} = 10.2 = 20[/tex]
İf 2/5 /50
[tex] \frac{\frac{2}{5} }{50} = \frac{2}{5} . \frac{1}{50} = \frac{2 \div 2}{5} . \frac{1}{50 \div 2} = \frac{1}{5} . \frac{1}{25} = \frac{1}{125} = 0.008[/tex]
What is the y intercept of the following equation 3x-2y=4
Answers
Answer:
(0, -2)
i am pretty sure this is the answer
. Water in a 10 gallon tank is draining at a rate of 2 gallons per hour. Water in a separate tank is filling at a rate of 4 gallons per hour. How long until the tanks have the same amount of water?
Answers
Answer:
Step-by-step explanation:
Water in a 10 gallon tank is draining at a rate of 2 gallons per hour.
= 10 - 2x
Water in a separate tank is filling at a rate of 4 gallons per hour.
= 10 + 4x
Equating both Equations together
10 - 2x = 10 + 4x
10 - 10 = 4x - 2x
How long until the tanks have the same amount of water?
Let the time = x
please answer this question
Answers
Answer:
C, The marble is 3 times as likely to be black as it is to be white.
Step-by-step explanation:
The probability of a marble being drawn is:
number of marbles of that color/total number of marbles
Find total number of marbles
5+8+4+15= 35
So the probability of drawing:
white: 5/32
polka dot: 8/32
striped: 4/32
black: 15/32
The probability of drawing white, polka dot, or striped is obviously different, so A is wrong.
The probability of drawing every color but black is 5/32 + 8/32 + 4/32 = 17/32, which is more than the chance of drawing black, so B is wrong.
The probability of drawing black is 15/32, and that is 3 times larger than the probability of drawing white (5/32), so C is correct.
The probablility of drawing a polka dot is 8/32, which is not four times as large as stripe (4/32), so D is wrong.
In a juggling competition, 7/ 20 of all the jugglers use balls only, 3/ 7 of all the jugglers use rings only, and the rest of jugglers use both balls and rings. If there are less than 200 jugglers in the competition, how many jugglers use both balls and rings?
Answers
Answer:
44
Step-by-step explanation:
Number who use balls only = 7 / 20
Number who use rings only = 3/7
Fraction who use both :
1 - (7/20 + 3/7)
1 - 0.7785714
= 0.2214285
If number of jugglers is less than 200
Number of jugglers who use both :
0.2214285 * 200
= 44.285714
Number of jugglers who use both should be about 44
Write the slope-intercept form (y=mx+b) of the equation of the line through the given points.
through:
(0,3)(−4,5)
Answers
Step-by-step explanation:
General line equation: y = mx + c
When x = 0, y = 3. => (3) = m(0) + c, c = 3.
When x = -4, y = 5. => (5) = m(-4) + c,
5 = -4m + (3), -4m = 2, m = -0.5.
Hence the answer is y = -0.5x + 3.
Answer:
y=-[tex]\frac{1}{2}[/tex]+3
Step-by-step explanation:
To write the equation of the line in slope-intercept form, first calculate the slope of the line (m)
m=[tex]\frac{y_{2}-y_{1} }{x_{2} -x_{1} }[/tex]
=[tex]\frac{5-3}{-4-0}[/tex]
=2/-4
=-[tex]\frac{1}{2}[/tex]
next, calculate b by substituting a point (0, 3) into the equation
y=mx+b
3=(-1/2)(0)+b
b=3
final equation of line is: y=-[tex]\frac{1}{2}[/tex]+3
What is the equation of the line?
y= 1/2x-4
y = 2x + 2
y = 2x - 4
y =1/2x+2
Answers
Explanation:
When you do rise over run you get 1/2. For the y-intercept you can see the line touches 2 so the y-intercept is 2.
(3,6)
(3,-3)
What is the slope
Answers
Answer:
The slope is 3. Thats what my friend said
Step-by-step explanation:
What is the slope of each line? Line A: y = negative 5 x minus 2 Line B: y = 2 x + 3
Answers
Line B slope is 2
Mr Martin has 120 CDs. The ratio of indie CDs to dance CDs is 5:7. How many of each type of CDs does he have.
Answers
Answer
Martin has 50 indie CDs and 70 dance CDs
Step-by-step explanation:
5+7=12 120/12 =10 10x5=50 and 10x7=70 So Martin has 50 indie cds and 70 dance CDs
CRÍTICAL THINKING Can you use the Product of Powers Property to
multiply 5^2 x 6^4 ? explain
HELP Please
Answers
Answer:
The answer for that equation is 32400
Step-by-step explanation:
Answer:
No because their bases are not the same
Step-by-step explanation:
Please help me i struggle lots on this topic
Answers
Answer:
slope = 0
Step-by-step explanation:
remember slope is just rise (change in y) over run (change in x) and since there's no change it has a zero slope, which applies to any horizontal line parallel to the x axis
(this is just me trying to explain slopes, separate from the question you put) if the right most point was 1 higher (5,7) instead of (5,6) then the slope would be 1/2 because to get from (5,7) to (3,6) you move up 1 and over 2
jada made 10 cups of blueberry jam and divided the jam equally among 6 containers. how much jam went into each container
Answers
Answer:
3/5 or 0.6
Step-by-step explanation:
i dont really get the question, but 6+4= 10.
8 cm
What is the area of the circle above?
OA. 8 sq cm
OB. 24 sq cm
OC.
16 sq cm
OD. 64 sq cm
Answers
Answer:
Step-by-step explanation:
A = (3.14)(8)2
= 200.96
Write these amounts as ratios in the simplest form
75 cm to 1.5 m (c)
Answers
Step-by-step explanation:
75 cm =0.75 m
0.75/1.5=0.5
0.5=5/10=1/2
1:2
Answer:
ratio 1 to 2
Step-by-step explanation:
first convert 75cm to m
which is equal to 0.75m
0.75/1.5 =1 /2
the answer is 1 to 2
A 50-question test contains 20 true-or-false questions. The rest are multiple-choice. What is the ratio of true-or-false to multiple-choice questions? plz help me
Answers
Answer:
The ratio is 20:30, or 2:3 in simplest form
Plzzzzz give me Brainliest!
Answer:
2/5 or 40%
Step-by-step explanation:
20 out of fifty is hard so make it 40 out of 100 and it's easy 40%
when a natural number is decreased by 20,the result is 96 times the reciprocal of the number.find the number
Answers
Answer:
let natural no be x
(x-20)=96/x
x²-20x-96=0
x²-24x+4x-96=0
x(x-24)+4(x-24)=0
(x-24)(x+4)=0
either
x=24
x=-4
The expression (2x2)3 is equivalent to _____.
a.6x2
b.6x5
c.8x6
Answers
Answer:
A
Step-by-step explanation:
(2x2)3
= (4)3
=12
6x2 = 12
So the answer is A
(2x2)3
^
(4)3
^
12
And 6x2=12
HELPPP what is 2x - 5 by the Square root of 9
Answers
Use the discriminant to determine the number and type of solutions for the equation x^2+49=14x
(A). This equation has 1 real solution and one imaginary solution because the discriminant is negative.
(B). This equation has 2 imaginary solutions because the discriminant is negative.
(C). This equation has 2 real solutions because the discriminant is positive.
(D). This equation has 1 real solution because the discriminant is 0.
Answers
Answer:
d is the answer
Step-by-step explanation:
The perimeter of a rectangle is 560 feet. Let X represent the width of the rectangle. Write a quadratic function for the area A of the rectangle in terms of its width.
Answers
Answer:
hi deez
Step-by-step explanation:
