Answer:
28.29 gallons
Step-by-step explanation:
Given that the available amount of 21%-concentrated red dye= 66 gallons.
Let x gallons of 51%-concentrated red dyes to be mixed with 56 gallons of 21%-concentrated red dye to get 30%-concentrated red dyes.
Total amount of the resulting mixture = 66 + x gallons.
Amount of red dyes in the mixture = (21% of 66) + (51% of x)
To get the resulting mixture as 30%-concentrated red dyes, we have
30% of (66+x) = (21% of 66) + (51% of x)
[tex]\Rightarrow 30(66+x)=21\times66+51x\\ \Rightarrow 30\times 66 +30x= 21\times66+51x\\\Rightarrow 51x-30x=66(30-21)\\\Rightarrow 21x=66\times 9\\\Rightarrow x = 28.29[/tex]
Hence, the amount of 51%-concentration red dyes to be mixed = 28.29 gallons.
A librarian has 16 books that she plans to place in a specific order on her shelf: 7 of them are identical copies of The Shining, 5 of them are identical copies of Carrie, and 4 of them are identical copies of Misery. How many different orders of all 16 of these books are there?
Answer:
3
Step-by-step explanation:
Answer:
140
Step-by-step explanation:
6 of 12
Sam had a bank account balance of $32. He deposited $28 into his account
Which statement is true about his balance after making the deposit?
A
His balance will be less than $32
B
His balance will be greater than $28.
С
His balance will be between S0 and $28
His balance will be between $32 and $0
Answer:his balance will be between 0 and 28
Step-by-step explanation:
Find the perimeter or circumference and area of each figure if each unit on the graph measures
1 centimeter. Round answers to the nearest tenth, if necessary.
Answer:
Circumference of the circle = 17.8 units
Area of the circle = 25.1 square unit
Step-by-step explanation:
Formula to get the circumference of a circle = 2πr
Where r = radius of the circle
Radius of the given circle = Distance between the points A(2, 3) and B(4, 1)
r = [tex]\sqrt{(2-4)^2+(3-1)^2}[/tex]
r = [tex]2\sqrt{2}[/tex] units
Therefore, circumference = 2π(2√2)
= 17.77
≈ 17.8 units
Area of the circle = πr²
= π(2√2)²
= 8π
= 25.13
≈ 25.1 square unit
which system of linear inequalities is represented by the graph
Answer:
WOAH CALM DOWN JAMAL
Step-by-step explanation:
Answer:
y < x-2 and y > x+1
Step-by-step explanation:
A man basic wage for a 40-hour weekly is $160.00. He is paid $5.00 per hour for overtime . If he works 6 1/2 hours over time in a certain week his wage for that week is
if y =32 when x =8 find y when x =30
Answer:
y = 120
Step-by-step explanation:
If y = 32 when x = 8, then y is 4 times the number of x. If x = 30, then (4)30 = 120.
Two thirds of 148 seventh
graders buy their lunch at
school. How many students
is this?
Answer:
if you round, its 99. if you ignore the decimal, its 98
Step-by-step explanation:
2/3 of 148 is 98.66
Select the correct answer.
What is the value of
log,
OA.
1
B.
2
O c.
3
OD. 27
Plz I need help I'm doing my test right now!!!!
hi so I need help with my math the question says use the long division algorithm to find the decimal value of the fraction -1/4
Answer:
uhm well I'm not sure what you mean by algorithm but just think it like this :
Step-by-step explanation:
think of 1/4 as a quarter and it says the negative
so -.25
if the weight of an object is 900 newton what is its mass. plz tell answer fast I will mark you as the brainlest.
≈ 92 kg
Step-by-step explanation:Hi there !
w = m×g => m = w/g
g = 9.8m/s² = 9.8m·s⁻²
w = 900N = 900kg⋅m⋅s⁻²
m = 900kg⋅m⋅s⁻²/9.8m·
= 91.83 kg
≈ 92 kg
Good luck !
Which of the following statements demonstrates the identity property of multiplication?
A.-5(18) = -5(20 - 2)
B. (-4)(1) = 4
C.7.-8=.8.7
D.9.(2.7) = (92) - 7
Answer:
B i think
Step-by-step explanation:
The product of 1 and any number is the number (hence why it is most likely b). But instead of it being 4, it would be -4 because multiplying a negative by a positive results in a negative.
If h(x) = -4x - 10, find h(-5).
0-30
01.25
O 10
0-1
Answer:
h(-5) = 10
Step-by-step explanation:
h(x) = -4x - 10
Let x = -5
h(-5) = -4*-5 - 10
= 20 -10
= 10
Solve for x:
3x-3=x-19
Answer: x = -8
Step-by-step explanation: 2x=-16, x=-8
Answer:
-8
Step-by-step explanation:
3x - 3 =x - 19
3x - x =-19 +3
2x =-16
x=-16 :2
x=-8
Which data values are outliers?
71, 96, 110, 112, 114, 114, 121, 127, 135, 175, 180
Answer: 71, 175, 180
Step-by-step explanation:
Find the interquartile range. 127- 112 = 23 Multiply by 1.5 = 34.5
Add to the mean 114 + 34.5 = 148.5
Subtract from the mean 114 - 34.5 = 79.5
Any number greater than 148.5 or less than 79.5 is considered an outlier
Luke is a dog walker. He gets $10 per day for walking his neighbor's dogs. He recently snapped his surfboard and wants to buy a used surfboard for $325. If he has $142 in the bank, how many days will he have to walk the dogs to earn enough for the board?
Answer:
10$
Step-by-step explanation:
Select the parent function and its graph.
Answer:
The first one
Step-by-step explanation:
Answer:
first function, second graph
Step-by-step explanation:
got it right in plato :DDD
In American football, the ball is punted by dropping and kicking it before it hits the ground. The height ht of the football above the ground in meters t seconds after being punted is affected by gravity and by the punter's kick, and can be represented as the difference of two functions: at=4.9t2, which specifies the effect of gravity on the height of the ball, and vt=13.7t+0.5, which specifies the effect of the punt on the ball. With these two functions, ht=vt-at, how high above the ground was the ball when it was punted?
Answer:
The ball was 0.5 m above the ground before it was punted.
Step-by-step explanation:
Since at = 4.9t² specifies the effect of gravity on the height of the ball, and vt = 13.7t + 0.5 specifies the effect of the punt on the ball, the height ht of the ball above the ground after the punt is ht=vt-at
ht = 13.7t + 0.5 - 4.9t². To find the height ht above the ground at which the ball was punted, we insert t = 0 which is the start time of the punt into the equation for ht. So with t = 0, ht becomes
ht = 13.7t + 0.5 - 4.9t²
ht = 13.7 × 0 + 0.5 - 4.9 × 0²
ht = 0 + 0.5 - 0
ht = 0.5 m
So the ball was 0.5 m above the ground before it was punted.
A stack of 3 books weighs 7.8 kilogramh book weighs the s. If eacsame amount, how much does each book weigh?
Answer:
they each way 2.6 kilograms
how do I solve -15+w=6
Ans
Add 15 to 6 so w= 21
Step-by-step explanation:
You are making a scale drawing with a scale of 2 in. = 17 ft. Explain how you find the length of the drawing of an object that has an actual length of 51 ft.
Answer:
17/2 = 8.5
1 inch = 8.5 feet
51/8.5 = 6 inches
Step-by-step explanation:
HI :)
Answer:
51 divided by 17 = the answer
Step-by-step explanation:
if each 2 in. is 17 ft, you are looking for how many inches 51 feet would be.
A sailor is 30m above the water in the crow's nest on a sailboat. The sailor encounters an orca surface at an angle of depression of 15 degrees. The crows nest is 20 m horizontally from the bow (front) of the boat. How far in front of the boat is the orca?
Given :
A sailor is 30 m above the water in the crow's nest on a sailboat.
The sailor encounters an orca surface at an angle of depression of 15 degrees.
The crows nest is 20 m horizontally from the bow (front) of the boat.
To Find :
How far in front of the boat is the orca.
Solution :
Let, distance of boat front from the crow's nest is x.
So,
[tex]\dfrac{30}{20+x}=tan \ 15^{\circ}\\\\x=\dfrac{30}{tan \ 15^{\circ}}-20\\\\x=111.94-20\\\\x=91.94\ m[/tex]
Hence, this is the required solution.
(?)^2-3(?)=-2 can anyone solve this
Answer: x = 1 or x = 2
Sub in x for ?:
x^2-3x = -2 (Move all the terms to one side, and set the equation to equal 0)
x^2-3x+2 = 0 (Factor the simple trinomial by finding two numbers that multiply to 2 and add to -3)
x^2-x-2x+2 = 0 (Factor the expression)
x(x-1)-2(x-1) = 0 (Group like terms)
(x-1)(x-2) = 0 (Solve for x by setting each term equal to 0)
x-1 = 0
x = 1
x-2 = 0
x = 2
∴ x = 1 or x = 2.
Tickets to a movie cost $11 for adults and $7 for students. A group of friends purchased 8 tickets
for $76. Write a system of equations to represent the situation. How many adult tickets and
student tickets were purchased
PLEASE HELP ME
Answer:
5 Adult tickets were purchased and 3 student tickets were purchased.
Step-by-step explanation:
5 Adult tickets were purchased and 3 student tickets were purchased.
Step-by-step explanation:
Write the problem as an equation like this
11x+7x=76
Now make an equation for the number of purchased tickets. Let x be adult and y be students.
x+y=8
Rewrite x + y = 8 as y = -x +8
Substitute y = -x + 8 into the first equation for y.
11x+7(-x+8)=76
11x+(-7x)+56=76
solve for 11x+(-7x)
4x+56+76
subtract 56 from both sides
4x=20
Divide both sides by 4
X=5
x + y = 8
5 + y = 8
y = 3
5 Adult tickets were purchased and 3 student tickets were purchased.
5 adult tickets and 3 student tickets were purchased.
What are system equations?
A finite set of simultaneous equations are called system equations.
Let, they purchased x tickets for adults and y tickets for students.
Therefore, system equations are:
x + y = 8 ----- equation 1
11x + 7y = 76----- equation 2
From equation 1, we get: x = (8 - y)
Now, substituting the value of x in equation 2, we get:
11 × (8 - y) + 7y = 76
⇒ 88 - 11y + 7y = 76
⇒ 88 - 76 = 4y
⇒ 4y = 12
⇒ y = 3.
Therefore, putting the value of y in equation 2, we get: x = (8 - 3) = 5.
Hence, 5 adult tickets and 3 student tickets were purchased.
Learn more about system equations here: https://brainly.com/question/24065247
#Tag #SPJ2
Jaxon earned $123.90 at his job when he worked for 7 hours. How much money did he earn each hour?
Answer:
$17.70
Step-by-step explanation:
123.90 / 7 = 17.7
IVE BEEN TRYING TO GET THE ANSWER FOR THIS WITH A PICTURE AND KEYBOARD PLEASE HELP (It’s a picture)
Answer:
Step-by-step explanation:
John bought a new TV. The tag in the shop said it cost £299 + VAT.
If VAT is charged at 20%, how much did he pay (to the nearest penny)?
Answer:
59.8
Step-by-step explanation:
20÷100×299
0.2×299
59.8
Is y=3x^2+1 a linear or nonlinear equation?
Answer:
nonlinear
Step-by-step explanation:
because the axis is located below so its all gucci
Answer:
Nonlinear
Step-by-step explanation:
It's actually a parabola because it has a squared value.
Hope that helps and have a great day!
Your first job is to babysit a couple of times a week. You charge a flatfeet of $10 for transportation back and forth to the house plus $5.50per hour. Let t be the time in hours that you babysit. Write algebraic expression to define the amount of money you will make for t hours of work.
Answer: 10 + 5.5t
Step-by-step explanation:
Amount charged for transport = $10
Amount charged pee hour of babysitting = $5.50
Number of hours to babysit = t
The algebraic expression to define the amount of money you will make for t hours of work will be:
= $10 + $5.50t
= 10 + 5.5t
Can you please help me with this?
Answer:
1
hope this helps! :)
Please help look at the screenshot
Answer:
Step-by-step explanation: 40 newtons to the right