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.
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
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
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
how do I solve -15+w=6
Ans
Add 15 to 6 so w= 21
Step-by-step explanation:
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
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
Please help look at the screenshot
Answer:
Step-by-step explanation: 40 newtons to the right
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:
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!
Can you please help me with this?
Answer:
1
hope this helps! :)
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
(?)^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.
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:
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:
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:
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
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
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.
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.
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
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 !
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:
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!!!!
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
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.
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
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
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.
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