Given :
A bag contains 120 marbles. Some are red and the rest are black. There are 17 red marbles for every 3 black marbles.
To Find :
How many red marbles are in the bag.
Solution :
Let, number of red and black marbles are x and y respectively.
So, x + y = 120 ....1)
Now, it is given that there are 17 red marbles for every 3 black marbles.
So, 3x = 17y ....2)
Putting value of x from equation 2) to equation 1), we get :
[tex]\dfrac{17y}{3}+y = 120\\\\\dfrac{20y}{3}=120\\\\y = 18\\\\x = 120 - 18\\\\x = 102[/tex]
Therefore, the number of red and black marbles are 102 and 18 respectively.
a recipe uses 1 1/4 cups of milk to make 10 servings. if the same amount of milk is used for each serving, how many servings can be made using 1 gallon of milk? take 1 gallon to be equal to 16 cups. please show the work!
Answer:
128 servings can be made using 1 gallon of milk.
Step-by-step explanation:
Given that:
[tex]1\frac{1}{4}[/tex] cups of milk make 10 servings
[tex]1\frac{1}{4}[/tex] can also be written as 1.25
Ratio of cups of milk to servings = 1.25 : 10
1 gallon = 16 cups
Let,
x be the number of servings made from 1 gallon
Ratio of cups of milk to servings = 16 : x
This is a direct proportion
1.25 : 10 :: 16 : x
Product of mean = Product of extreme
10*16 = 1.25x
160 = 1.25x
1.25x=160
Dividing both sides by 1.25
[tex]\frac{1.25x}{1.25}=\frac{160}{1.25}\\x=128[/tex]
Hence,
128 servings can be made using 1 gallon of milk.
Iftwo-thirdofa number increased by 10isequal to14,find the number
(यदि एउटा संख्याको दुई-तिहाई दशले बढाउँदा १४ बराबर हुन्छ भने त्यो संख्या
पत्ता लगाउनुहोस् ।)
Answer:
The number is 6.
Step-by-step explanation:
Let the number be x then,
By the question,
2/3 * x + 10 = 14
2x / 3 = 14 - 10
2x / 3 = 4
Cross multiply ✖
2x = 12
x = 12/2
x = 6
Hope it helps. :)
what is the area of the trapezoid?
Answer:
use formula=1/2×sum of parallel sides ×height
Answer:
A=64ft^2
Step-by-step explanation:
hope this helps
take care
Which is the correct answer?
Note: ( if you give me a silly or absurd answer I will report you )
Answer:
A
Step-by-step explanation:
you take the f(x) and make it negative because it's positive
you make -x^3 positive because it's negative
you make -9 positive because it's negative
hope this helps!
Some people advise that in very cold weather, you should keep the gas tank in your car more than half full. Lou's car had 6.8 gallons in the 15-gallon tank on the coldest day of the year. Lou filled the tank with gas that cost $3.90 per gallon. How much did Lou spend on gas?
Answer: You have the following information given in the problem above:
- Lou filled the tank with gas that cost $3.80 per gallon.
- Lou's car had 5.9 gallons in the 13-gallon tank.
2. Therefore, if he filled the tank, you can calculate the total amount of money Lou spent, by subtracting 13 gallons and 5.9 gallons and multiplying the result by $3.80.
3. Then, the result is:
$26.98
Anyone know this answer?
the answer is =10
10
10
10
Any help please I appreciate it thank you
Answer:
20 feet
Step-by-step explanation:
Parimeter is how far you would walk if you made a lap around the shape, walking on the edge lines like a balance beam.
To find perimeter, we need to add up all the sides.
Because it's a square each side has the same length.
There are 4 sides.
5 x 4 = 20
or 5 + 5 + 5 + 5 = 20
The perimeter is 20 feet
Find the perimeter of the following shapes to 1 d.p take r =3.14
Answer:
The perimeter is 19.7
Step-by-step explanation:
The question is not complete and there is no attachment. Nevertheless, we can make do with the given information.
we can picture that the shape is a circle and we are required to find the perimeter/circumference of the circular shape
Given
The radius r= 3.142
Step two:
the perimeter/circumference is expressed as
C=2πr
C= 2*3.142*3.142
C= 19.7
Enter a positive common factor (other than 1) of the fraction's numerator and
denominator.
9/21
2b+ f + d + 3b + 2f + 2d + 8
Answer:
Did you want me to simplify the expression???
Step-by-step explanation:
3f+5b+3d+8
I need help need it done in 20 minutes will give 20 points each
Answer:
Lets start by isolating for one variable In this case I chose y -7x-2y=14 -2y=14+7x y=-7 -3.5x (1)Next plug the y into the second equation to solve for x
6x+6(-7 -3.5x) =186x+(-42)+ (-21x) =18 6x-21x= 60 -15x=60x=-4Now we know x and we can plug into the original equation (1)
x= -4 y= -7 - 3.5× -4 y= 7Rate brainlist and drop a follow for future help
Answer:
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
6*x-6*y-(18)=0
STEP
1
:
Pulling out like terms
1.1 Pull out like factors :
6x - 6y - 18 = 6 • (x - y - 3)
Equation at the end of step
1
:
STEP
2
:
Equations which are never true:
2.1 Solve : 6 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Equation of a Straight Line
2.2 Solve x-y-3 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
Step-by-step explanation:
x= 1 y= 1
hope am right if i am, pls brainliest
How do you find the mean and standard deviation?
An experienced carpenter can panel a room 3 times faster than an apprentice can. Working together, they can panel the room in 6 hours. How long would it take each one working alone to do the job
Answer:
experienced carpenter would need 1 and 1/2 hours
apprentice would need 4 1/2 hours
Step-by-step explanation:
experienced = e
apprentice = 3e
3e + e = 6
4e = 6
e = 6/4 or 3/2
6 - 3/2 = 9/2
Marshall has $0.34 in dimes and pennies. He has 7 coins altogether. How many coins of each kind does he have?
Dimes are 0.10 each
Pennies are 0.01 each
You need 4 pennies to get the 0.04
Then you would have 3 dimes .
3 x 0.10 = 0.30
4 x 0.01 = 0.04
0.30 + 0.04 = 0.34
How can I find the systems of linear inequalities
Find the value of X algebraically. Show your work.
Answer: 21
Step-by-step explanation:
We know 9x - 56 is equal to 6x + 7
So:
9x - 56 = 6x + 7
Add 56 to each side
9x = 6x + 63
Subtract 6x from each side
3x = 63
Now divide each side by 3
x = 21
What is the LCD of 7/8 and 3/4?
Answer:
x/8
Step-by-step explanation:
Answer:
I believe the LCD is 8
Step-by-step explanation:
hope that helps
write a similarity statement for the triangles picture. what is the value of x? show your work please !
Answer:x= 16.5
Step-by-step explanation:as both the triangles are similar, then
AB/ PQ=AC/ PR
16/24=18/(2x-6)
x= 16.5
Painter has 7/8 liters of paint remaining each statue requires 1/20 how many statues can she paint
Answer:
1/20 liters per statue
so you divide 7/8 by 1/20
7/8*20/1
17.5 statues
but there cant be decimal statues,
so 17 statues is the answer
Answer:
17 statues.
Step-by-step explanation:
7/8 / 1/20
= 7/8 * 20
= 140/8
= 17.5.
100 pts..[tex]ANSWER this question for your God's sake PLZ..[/tex]
Answer:
Step-by-step explanation:
a) [tex]5y+ab[/tex]
b) [tex]f^{3} -3\\[/tex]
c) [tex]6kq[/tex]
d) [tex]\frac{3xy}{2w} \\\\[/tex]
e) [tex]3x-4\sqrt{z} \\[/tex]
f) [tex]\frac{2p}{5q} \\\\[/tex]
[tex]a) 5y+ab5y+ab
b) \begin{gathered}f^{3} -3\\\end{gathered}
f
3
−3
c) 6kq6kq
d) \begin{gathered}\frac{3xy}{2w} \\\\\end{gathered}
2w
3xy
e) \begin{gathered}3x-4\sqrt{z} \\\end{gathered}
3x−4
z
f) \begin{gathered}\frac{2p}{5q} \\\\\end{gathered}
5q
2p
[/tex]
2. Maria lives in Honduras. She is applying for a microcredit loan to start a street food business. The start-up costs for her business include $65 for the cart and 8900 for a freezer, plus the cost of bulk foods. She estimates her total start-up cost will be $1,053. a. If b represents the cost of the bulk foods, write and solve an equation to find the cost of the bulk foods Maria plans to buy. b. Maria has monthly costs of $420 and expects monthly sales of $725. Use the formula PMR-C), where P represents profit, R represents monthly revenue or sales, and represents monthly costs, to find the number of months it will take her to make $2,000 in profit. 3. An organization has raised $5,000 that it would like to use to provide $200 microloans to residents of a particular community. Of the $5,000 they raised, $400 must be used for administrative costs like the salaries of employees who set up the loans and the paperwork required. Write and solve an equation to determine how many microloans the organization can provide
Answer: girl/dude/they/them, that's a lot to read....
Step-by-step explanation:
The tables shows the amount of sugar and the amount of water used in the fall. How many cups of sugar would be needed for 15 cups of water in the Fall Mixture?
Answer:
30
Step-by-step explanation:
it's x2 for the rest and 15x2 =30
will give brainliest !
The state fair is a popular field trip destination. This year the senior class at High School A and
the senior class at High School B both planned trips there. The senior class at High School A
rented and filled 5 vans and 9 buses with 309 students. High School B rented and filled 12 vans
and 9 buses with 414 students. Every van had the same number of students in it as did the buses.
How many students can a van carry? How many students can a bus carry?
Answer:
15 students/van
26 students/bus
Jason says the quotient 517 ÷ 5 is 103 r 2. Use multiplication to show if Jason's answer is correct.
Answer: No Jason is not orrect the anwser is 103.4 x 5= 517
Step-by-step explanation:
ok so first you have to multiply 103.2 times 5 but that gives you 516 so the correct anwser is 103.4 x 5 = 517
Plssssss helpppp meeeeee
Answer:
A
Step-by-step explanation:
5-2 = 1/52 = 1/25 = 0.04
John believes that height is related to leadership and specifically hypothesizes that the taller one is, the more other people look to that person as a leader. To test this hypothesis, he randomly selects a sample of 50 people, and measures their height and perceived leadership potential (both quantitative measures). This is a ______ hypothesis and will result in a(n) _______ -tailed test
Answer:
This is a __simple____ hypothesis and will result in a(n) _______one-tailed test.
Step-by-step explanation:
The Simple Hypothesis predicts the relationship between two variables, in this case, height and leadership. The one-tailed test will be performed to determine whether to reject the null hypothesis. This is why the null and alternative hypotheses must be established before the statistic test is carried out. If the null hypothesis is rejected, this simply results in the acceptance of the alternative hypothesis.
Math Problem, I will mark brainliet thank youu
A) 0.06 ✔✔.............
Answer:
A. [tex] 0.0 \bar6[/tex]
Step-by-step explanation:
[tex] \pink{ \huge \frac{1}{15}} = \orange{ 0.06666666....} \\ \\ \huge \purple{\frac{1}{15}} = \red{0.0 \bar6}[/tex]
Solve the following system of equations.
y = 12 - 5x
2x + 3y = 11
A runner burns 100 Calories for every 15 minutes spent running. How many hours of running would it take for a runner to burn 600 Calories?
Evaluate h(t)=50-t/5
h(35)=
