direct and inverse variation
Answer:
4 workers can do the job in 18 days.
Step-by-step explanation:
The number of days d varies inversely as the number of workers.
We can write it as: [tex]d\: \alpha\: \frac{1}{w} \\d=\frac{k}{w}[/tex]
where k is constant of proportionality
We are given: If it takes 9 days for 8 workers to complete the job, then how many workers would it take to do the job in 18 days.
d = 9, w = 8
d = 18, w =?
First we will find value of k when d = 9, w =8
[tex]d=\frac{k}{w}\\9=\frac{k}{8}\\k=9*8\\k=72[/tex]
The value of k, will remain same as it is constant.
We get k = 72.
So, Now we have d = 18, k = 72 and we need to find w
[tex]d=\frac{k}{w}\\18=\frac{72}{w}\\18w=72\\w=\frac{72}{18}\\w=4[/tex]
So, 4 workers can do the job in 18 days.
2/3 + 9/12 add fractions with unlike denominators
Answer:
[tex]1\frac{5}{12}[/tex]
Step-by-step explanation:
[tex]\frac{2}{3} + \frac{9}{12}[/tex] <-- let's change 2/3 into a fraction that has 12 as the denominator
[tex]\frac{2}{3}[/tex] × 4 <-- multiply both the numerator and the denominator by 4
2 × 4 = 8 <-- new numerator
3 × 4 = 12 <-- new denominator
now we have [tex]\frac{8}{12}[/tex] + [tex]\frac{9}{12}[/tex]
[tex]\frac{8}{12}[/tex] + [tex]\frac{9}{12}[/tex] = [tex]\frac{17}{12}[/tex] <-- let's change it into a mixed number
17 ÷ 12 = [tex]1\frac{5}{12}[/tex]
Answer: its 17/12
Step-by-step explanation:
please help me . beg you .
Answer:
24.3 cm
Step-by-step explanation:
length AC= 20²+12²= 544
√544= 23.3 cm
answer = 23.3²+7²= 591.89
√591.89= 24.3 cm
hope it helps! please mark me brainliest
thank you! have a good day ahead
if u follow me, i will follow u back
how many vowels does Dwayne Johnson have in his name
Answer:
3
Step-by-step explanation:
a, e, and o
Answer:
4 vowels with but he has two o’s
Step-by-step explanation:
A ,y e, o,
Answer the following. a) Find h b) Find x
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
please please help!!
Answer:
108 No explanation needed, mark me brainliest
Answer:
108 is your correct answer
Step-by-step explanation:
Sheila was given $20.00 for her birthday and spent $14.79 on a CD. How much was her change?
A. $5.21
B. $6.31
C. $16.31
D. $34.79
Answer:
the answer would be A because when u subtract it the answer is $5.21
A, B, C and D are four towns. B is 30 kilometres due east of A. C is due 30 kilometres north of A. D is due 45 kilometres of A. Work out the bearing of B from C.
Complete question :
A, B, C and D are four towns. B is 30 kilometres due east of A. C is due 30 kilometres north of A. D is due 45 kilometres due south of A. Work out the bearing of B from C.
Answer:
44°
Step-by-step explanation:
From the diagram sketched, we have a right angled d triangle, thus we can apply Pythagoras ;
Using the relation :
Tanθ = opposite / Adjacent
Tan θ = 30 / 30
Tanθ = 1
θ = tan^-1(1)
θ = 45°
Hence, bearing of B from C is 45°
Please help me ilysm if u do ILL ALSO GIVE U BRAINLIEST
Answer:
B
Step-by-step explanation:
Answer:
$1.89 for 3ft
Step-by-step explanation:
3ft x 12in = 36
36in divided by 1.89 = 19.048
18in divided by 0.89 = 20.225
So, buying $1.89 for 3 ft is the better purchase.
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?
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
4. An angle is 50° more than its supplement. Find the angles.
Answer:
The angles measure [tex]65[/tex]° and [tex]115[/tex]°.
Step-by-step explanation:
Supplementary angles are a pair of angles whose measures add up to [tex]180[/tex]°. In this case, we know that one angle is [tex]50[/tex]° bigger than the other one, so if we let the measure of one angle be [tex]x[/tex], then the measure of the other angle will be [tex]x+50[/tex]. Therefore, we can write the following equation to solve for
[tex]x+x+50=180[/tex]
Solving for [tex]x[/tex], we get:
[tex]x+x+50=180[/tex]
[tex]2x+50=180[/tex] (Simplify LHS)
[tex]2x+50-50=180-50[/tex] (Subtract [tex]50[/tex] from both sides of the equation to isolate [tex]x[/tex])
[tex]2x=130[/tex] (Simplify)
[tex]\frac{2x}{2}=\frac{130}{2}[/tex] (Divide both sides of the equation by [tex]2[/tex] to get rid of [tex]x[/tex]'s coefficient)
[tex]x=65[/tex]
Therefore, [tex]x+50=65+50=115[/tex], so our final answer is that the angles measure [tex]65[/tex]° and [tex]115[/tex]°. Hope this helps!
The length of a rectangular cement patio is 3 feet less than three times the width. The sum of the length and width of the patio is 21 feet. Find the length of the patio.
Answer: The length is 15 feet.
Step-by-step explanation:
L = 3w - 3 (length is 3 feet less than three times the width)21 = w + (3w -3)21 = 4w - 3 (add like terms)24 = 4w (substract 3 from both sides)6 = w <-- widthBut, the problem is asking for the length...
L = 3w - 3L = 3(6) - 3L = 18 - 3L = 15 ftA rectangle has a perimeter of 22cm with a length of 10m. What is the width of one side?
Step-by-step explanation:
We know that
1m = 100cm
according to question
perimeter of rectangle = 2 (l+b)
22cm = 2 (100+b)cm
2×(100+b)cm = 22cm
100+b cm = 22/2cm
100+b cm = 11 cm
b = 100 -11 cm
hence, breadth = 89 cm .thanks for ask question.
6 and 6x are like terms
true or false
Answer:
False
Step-by-step explanation:
Like terms have the same variable and are raised to the same exponent, and 6x has a variable of x while 6 has none at all, so they are not like terms.
A shipping box has the dimensions shown 1/4 1/4 and 1/2, What is the volume of the box in cubic yards.
First 3 people get a brainly
Step-by-step explanation:
what is the unit of measurement for the 1/4, 1/4, and 1/2?
What is the volume of this cylinder?
8cm
20cm
Answer:160
Step-by-step explanation:
Answer:
there is no picture but if you make another post with the picture, I will more than gladly answer it :)
Step-by-step explanation:
Hey I need to survey 10 people who play video games so please answer or comment your answers down below :)
Survey ten people who play video games. Ask them these questions:
Why do you play video games?
What types of games do you play?
How long have you been playing video games?
How do you think video games will be played in the future?
Do you think video games will converge to a single platform in the future?
Thanks <3
Playing video games helps me if I have a rough time, I started around 2019. I play adventour type video games, not sure if raft counts, but that is a game I play too often with my friends. I think that video games probably could be played in cars as well but I dont know what else it can be or will be played on. Definitely will not be a single platform, people are too greedy everyone wants a better state then others. (not sure if that makes sense)
hope this helps :))
PLEASE HELP HOW DO I SOLVE THIS?
12 + 7c = 103
Answer:
13
Step-by-step explanation:
7c=103-12
7c=91
c=13
Answer:
Step-by-step explanation:
Here you go mate
Step 1
12+7c=103 Equation/Question
Step 2
12+7c=103 Simplify
Step 3
12+7c=103 Subtract 12
7c=91
Step 4
7c=91 Divide both sides
answer
c=13
Hope this helps
what does y equal?......
Answer:
37
Step-by-step explanation:
Tori bought 24 candy bars for 69 cents each. She used partial products to find the total cost in cents. Which are NOT possible partial products for 24 × 69?
Answer:
Options A, B, C and D
Step-by-step explanation:
This question is not complete; here is the complete question.
Tori bought 24 candy bars for 69 cents each. She used partial products to find the total cost in cents. Which are NOT possible partial products for 24 × 69?
A. 24
B. 36
C. 180
D. 240
E. 1656
Cost of one candy = 69 cents
Since, cost of 24 candies = Cost of one candy × Number of candies
= 69 × 24
For partial product,
69 × 24 = (60 + 9)(20 + 4)
= 60(20 + 4) + 9(20 + 4)
= 60×20 + 60×4 + 9×20 + 9×4
= 1200 + 240 + 180 + 36
= 1656
Therefore, Options A, B, C and D are not possible partial products.
I really don’t get this math how am i supposed to figure out which side is which?
Answer:
u can use "a squared + b squared = c squared"
in this case the two legs are 10 and 24 because they are near the right angle. the hypotenuse is always across from the right angle, so it's the long side that connects the two legs. Now you can plug in 10 and 24 for the pythagorean theorem and solve for the hypotenuse. that would be 10 squared plus 24 squared equal to c squared.
Answer:
26
Step-by-step explanation:
You would use the Pythagorean theorem to solve for the last side.
Pythagorean theorem- a^2+b^2=c^2
a and b =sides
c=hypotenuse
Since you are finding the hypotenuse(c), you don't have to rearrange the formula
plug in a and b.
10^2+24^2=c^2
solve
100+576=c^2
676=c^2
do the square root of 676 to get rid of the c^2
26=c
State if the two triangles are congruent. If so, state how you know.
Answer: They are congruent, because the angle representers are equal on both triangles
Step-by-step explanation:
PLEAS HELP I WILL GIVE 10 POINTS
ou are a high school senior with a part-time job at a retail store. Your employer pays you $9.75 per hour. Last week, you worked a total of 30 hours.
The following payroll deductions were taken from your gross pay:
Federal income tax (withholding) at 10%
Social Security tax at 6.2%
Medicare tax at 1.45%
Use the check stub below to help you think through the problem.
You are encouraged to use scratch paper or Chrome Canvas as a scratch pad. You are allowed to check your calculations with a calculator.
check stub
The amount for SOCIAL SECURITY TAX for this pay period was $
Answer:
292.32
Step-by-step explanation:
i took 9.75 times 30 and then minus 10% minus 6.2% and minus 1.45% and got that answer
Alyssa has $75 less than three times Eric. Together they have $905. How much money do they each have?
Answer:
Alyssa=225
Eric=680
Step-by-step explanation:
The money Alyssa has $660 and Eric has $245.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, Alyssa has $75 less than three times Eric.
Let $x be the money Eric had.
Then Alyssa has 3x-75
Together they have $905.
So, x+3x-75=905
4x=905+75
4x=980
x=980/4
x=$245
Money Alyssa has 3x-75
= 3×245-75
= 735-75
= $660
Therefore, money Alyssa has $660 and Eric has $245.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ2
Help! I don’t know if I’m right
Answer:
B
Step-by-step explanation:
when dividing powers, you just subtract them so in this case subtract 6-4 which will be 2. so your answer is 11².
WILL MARK YOU BRAINLIEST
Answer: 4.8
Step-by-step explanation:
please help its due tonight!!
Answer:
your really think ik the answer
Step-by-step explanation:
yea the sorry
Answer:
y = 2. It is a horizontal line.
Step-by-step explanation:
The asymptote is the line that the function comes close to touching, but never will. Because the range is y > 2, you know that any value greater than 2 can and will be a y-coordinate, but the function will never have 2 as a y-coordinate. It will never touch the line y = 2, and therefore, y = 2 is the asymptote. Hope this helps!
Help meee please.........
Answer: B
x looks like .9 so if -.9 + 3 = -2.1 then you can see that's the answer on the number line, hope it helps, I'm 80% sure it's right
Write an equation of the line that passes through (-1, – 4) and is perpendicular to the line y = (3/4)x -2
Step-by-step explanation:
The equation of the line is given above
please help me with this
Answer:
its A :)
Step-by-step explanation: