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 taxi cab charges a pickup fee of $5.00 and $2.50 for each mile.
If you have $25 to spend on the taxi cab, how far can you ride?
Answer:
12.5
Step-by-step explanation:
a line is perpendicular to y - 5 = -1/4(x + 8) and goes through the point (-1,2). What is the lines y-intercept?
Answer:
y = 4x + 6
Step-by-step explanation:
Turn the equation we are given into slope-intercept form.
y - 5 = -1/4(x + 8)
y - 5 = -1/4x - 2
y = -1/4x + 3
The slope of a perpendicular line is the opposite reciprocal of the original line.
-1/4 -> 4/1 -> 4
Find the new y-intercept using the point given.
y = 4x + b
2 = 4(-1) + b
2 = -4 + b
6 = b
Fill in everything we solved for.
y = 4x + 6
Best of Luck!
PLEASE HELP ASAP!!! RUNNING OUT OF TIME!! thank you!
the second option, on the second attachment
domain: -6<x<-2 or x>-2
range: -3[tex]\leq[/tex]y[tex]\leq[/tex]1 or 4<y<8
Write an equation parallel to 2x+5y=15 that passes through the point (-10,1).
The Duquesne Incline, a cable car railway, rises 400 feet over a horizontal distance of 685 feet on its ascent to an overlook of Pittsburgh, Pennsylvania. What is the slope of the incline?
Answer: 400/685, which simplifies to 80/137. Decimal is about 0.58.
Step-by-step explanation: To calculate the slope of an incline, all you have to do is put the rise over run. In other words, y/x. In this case, The Duquesne incline rises 400 feet while moving horizontally 685, which gives you both the x and the y.
Min Jee wants to build a small patio. It will be 70 inches long and 49 inches wide. She can't decide whether to use brick or concrete paver stones. Each brick covers an area of 3 1/2inches by 7 1/2 inches and costs $0.59. Each paver covers an area 8.4 inches by 8.4 inches and costs $1.88. Which would be less expensive to use, and by how much?
Step-by-step explanation:
firstly, let us solve for the area of the patio, from the information given the patio we have a rectangular orientation.
Area of patio
length=70in
width=49in
Area=70x49
Area=3430in^2
Area of brick
length=7.5in
width=3.5in
Area=7.5x3.5
Area=26.25in^2
Amount of brick needed =3430/26.25
Amount of brick needed =130.66
The Total cost of brick=130.66x0.59
The Total cost of brick=$77.09
Area of paver
length=8.4in
width=8.4in
Area=8.4x8.4
Area=70.56in^2
Amount of brick needed =3430/70.56
Amount of brick needed =48.61
The Total cost of brick=48.61x1.88
The Total cost of brick=$91.38
Brick would be less expensive by =91.38-77.09= $14.29
write an expression for a number that is 5 times greater than 2
For pre-algebra class
Please help thanks i need it thanks a lot for helping me thank you alot
Answer:
x = 5x > 2
or just 5x > 2 ya its that
Step-by-step explanation:
1. This year 60 out of 300 students at Irons Middle School signed up for art. Next year, enrollment is expected
to increase to 340 students. About how many students will likely sign up for art?
I chose the wrong screensMaggie is converting 10,560 feet to miles by using StartFraction 10,560 feet Over 1 EndFraction times StartFraction 1 mile Over 5,280 feet EndFraction. What should be Maggie’s answer?hots for the last one, sorry about that!
What is X? −7x−8= -10x+4
Answer: x=4
-7x-8=-10x+4
+8 +8
-7x=-10x+12
+10x +10x
3x=12
3x/3=12/3
X=4
You want to paint your basement bright orange for your birthday party. The orange paint shade you like uses 3 parts red and 5 parts yellow. How many cups of red would you
need if you want 1 gallon of paint? (There are 2 cups in 1 pint, 2 pints in 1 quart, and 4 quarts in 1 gallon.)
Answer:
Step-by-step explanation:
6 cups red
Answer:
Step-by-step explanation:
6 cups red
what is the slope of this line?
Answer:
slope is 1/4
Step-by-step explanation:
Use rise over run
The slope of the line will be equal to 1/4.
Slope or the gradient is the number or the ratio which determines the direction or the steepness of the line. The slope of the line is the ratio of the rise to the run of the line.
The formula to calculate the slope of the line is given as,
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given that the line is passing through points ( 0,6) and (8,8). The slope of the line is calculated below,
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Slope = (8 - 6 ) / ( 8 - 0)
Slope = 2 / 8
Slope = 1 / 4
Therefore, the slope of the line will be equal to 1/4.
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[tex] \frac{1}{11} \times x = [/tex]
NEED THIS NOW/URGENT
i dont know how to simplify with fractions please need this right now!
Answer:
1/11x
Step-by-step explanation:
Answer: it is [tex]\frac{1}{11}x[/tex] or [tex]\frac{x}{11}[/tex]
Ali invests $4,078 in a retirement account with a fixed annual interest rate of 7% compounded
continuously. What will the account balance be after 14 years? (round your answer to the nearest
dollar, and do NOT put a $ in your answer.
Answer:
The account balance will be $10,866 after 14 years
Step-by-step explanation:
Compound continuous interest can be calculated using the formula:
[tex]A=Pe^{rt}[/tex]
A = the future value of the investment, including interestP = the principal investment amount (the initial amount)r = the interest rate t = the time the money is invested forLet us use this rule to solve the question
∵ Ali invests $4,078 in a retirement account
∴ P = 4,078
∵ The account with a fixed annual interest rate of 7% compounded
continuously
∴ r = 7% = [tex]\frac{7}{100}[/tex] = 0.07
∵ The time is 14 years
∴ t = 14
Substitute these values in the rule above to find A
∵ [tex]A=4,078(e)^{0.07(14)}[/tex]
→ Use the calculator to find the value of A
∴ A = 10,865.65255
→ Round it to the nearest dollar
∴ A = $10,866
∴ The account balance will be $10,866 after 14 years
The tables of ordered pairs represent points on the graphs of Equation 1 and Equation 2. Which system of equations is represented
by these two tables?
A)
4x + y = 24
2x + 2y = 4
B)
x + 4y = -24
x-y--4
C)
x - 4y= 24
x+y=4
D)
4x - y = 24
2x - 2y - 4
Answer:
Step-by-step explanation c
If you are buying $48 worth of two types of lawn seed. Ryegrass lawn seed sells for $0.70 per pound and Fescue lawn seed sells for $1.15 per pound. If you bought 25 pounds of Fescue lawn seed, write a linear equation in standard to find any amount of Ryegrass lawn seed purchased. (ax + by = c)
The amount of Ryegrass lawn seed purchased is 27.5 pounds and the linear equation formed is 0.70x + 28.75 = 48.
Linear EquationThe equation whose variables have the highest power as 1 is known as a linear equation.
How to write the linear equation for the given situation?First, let us assume that the amount of Ryegrass lawn seeds purchased is x pounds.
The cost of Ryegrass lawn seeds is $0.70 per pound.
So, the cost of all the Ryegrass lawn seeds purchased is $0.70x.
The amount of Fescue lawn seeds purchased is 25 pounds.
And the cost of Fescue lawn seeds is $1.15 per pound.
So, the cost of all the Fescue lawn seeds purchased is,
= $1.15 x 25
= $28.75
And the total cost of buying the two types of lawn seeds is $48.
So, we can write the linear equation as,
0.70x + 28.75 = 48
Solving the linear equation for x, we get
0.70x = 48 - 28.75
0.70x = 19.25
x = 19.25/0.70
x = 27.5
Hence, the amount of Ryegrass lawn seed purchased is 27.5 pounds.
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Trevon and Castel are selling flower bulbs for a school fundraiser. Customers can buy packages of tulip bulbs and bags of
daffodil bulbs. Trevon sold 10 packages of tulip bulbs and 14 bags of daffodil bulbs for a total of $402. Castel sold 11
packages of tulip bulbs and 4 bags odaffodil bulbs for a total of $237. Select the correct 2 equations and the cost of each
package of tulip bulbs and one bag of daffodil bulbs.
Answer:
Selection to make is C, D, E
Step-by-step explanation:
Let the cost of a package of tulip bulbs be $x while the cost of a package of daffodil bulbs be $y
10 tulip = $10x
14 bulbs = $14y
The addition of both gives a total $402
10x + 14y = 402 •••••••(i)
11 tulip = $11x
4 dudafodil = $4y
Total is 237
11x + 4y = 237 ••••••••(ii)
So let’s solve to get the value of x and y
10x + 14y = 402
11x + 4y = 237
Divide equation 1 by 2
5x + 7y = 201
11x + 4y = 237
Multiply equation 1 by 4 and 2 by 7
20x + 28y = 804
77x + 28y = 1659
Subtract i from ii
57x = 855
x = 855/57
x = 15
Recall;
5x + 7y = 201
5(15) + 7y = 201
75 + 7y = 201
7y = 201-75
7y = 126
y = 126/7
y = 18
Cost of tulip is $15, cost of daffodil is $18
Given: ∠GHD and ∠EDH are right; GH ≅ ED Triangles G H D and E D H overlap and intersect at point F. The triangles share side H D. Sides G H and E D are congruent. angles G H D and E D H are right angles. Which relationship in the diagram is true ?
A. △GHD ≅ △EDH by SAS
B. △GHF ≅ △EDF by SSS
C. △FDH ≅ △FDE by ASA
D. △HFD ≅ △HFG by SSS
Answer:
A. △GHD ≅ △EDH by SAS
Step-by-step explanation:
This is right on edge. 2020
In triangles GHD and EDH angle GHD and angle EDH is congruent, side GH is congruent to the side ED, and side HD is congruent to side HD. So, from side angle side postulate triangle GHD and triangle EDH are congruent.
Given :
∠GHD and ∠EDH are rightGH ≅ ED Triangles G H D and E D H overlap and intersect at point F.The triangles share side H D. Sides G H and E D are congruent. angles G H D and E D H are right angles.In the Side Angle Side postulate, the two sides and the included angle of one triangle are congruent to the two sides and the included angle of another triangle.
Given that in triangles GHD and EDH angle GHD and angle EDH is congruent, side GH is congruent to the side ED, and side HD is congruent to side HD.
So, from side angle side postulate triangle GHD and triangle EDH are congruent. Therefore, the correct option is A).
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Pls help...
It is 12 points... Really need it for today
Please help me and explain your answer and how you got it.
Answer:
35
Step-by-step explanation:
Its the only one that really makes sense.
True or False?
If two straight lines intersect, then the angles opposite that intersection have the same supplement
(10 Points) Question is In picture:
Jordan changed the dimensions of a rectangular picture measuring 20 cm wide by 25 cm high by a scale factor of 5/2.
Does this scale factor represent a reduction or enlargement and what is the new width of the picture?
1. This is an enlargement and the new width is 50 cm.
2. This is a reduction and the new width is 8 cm.
3. This is an enlargement and the new width is 62.5 cm.
4. This is a reduction and the new width is 10 cm.
Answer:
I believe it's an enlargement, because 5/2 is more than one whole.
Step-by-step explanation:
Step-by-step explanation:
Positive it's 1 or 3 because it's an enlargement
choose the equation that represents the graph below A. y = -2x - 4 B. y equals 2x + 4 C. y equals -2 + 4 D. y = 2x - 4
Please help me!!!
Michael's parents doubled his pocket money. His sister paid $1 for ice-cream from her pocket money and he paid $3 of his poket money for an new toy. After making these payments, they have the same money left. If his sister's pocket money is $6, what was Michael's pocket money before doubling it?
1. How much money did they together have after making the payments?
2. How much money did Michael have after his pocket money was doubled. Find the value of x.
3. How much did Micheal's sister have before making the payment?
(ONLY THE ANSWER)
Answer:
x = $4
1. $10
2. $8
3. $6
Step-by-step explanation:
Let
Michael's doubled pocket money = 2x
He spends $3
Balance = 2x - 3
His sister's pocket money = $6
She spends $1
Balance = $6 - $1
= $5
2x - 3 = 5
2x = 5 + 3
2x = 8
x = 8/2
= 4
x = $4
After making the payments, they both together have $10
After Michael's pocket money was doubled, he has 2x
= 2(4)
= $8
His sister's has $6 before making the payments
estimate 29.14 divided by 3.2071
Answer:
9.05 is my estimate
Step-by-step explanation:
The actual answer should be 9.08 etc....cause its a repeating decimal.
Which equation shows an example of the associative property of addition?
A. (–4 + i) + 4i = –4 + (i + 4i)
B. (–4 + i) + 4i = 4i + (–4i + i)
C. 4i × (–4i + i) = (4i – 4i) + (4i × i)
D. (–4i + i) + 0 = (–4i + i)
Answer:
I am pretty it's A
Step-by-step explanation:
Basically the Associative Law of Addition means that the order that the numbers are added does not matter.
Answer:
A. (–4 + i) + 4i = –4 + (i + 4i)
Step-by-step explanation:
edge2020
Have a great day y'all :)
A triangle has squares on its three sides as shown below. What is the value of x? Three squares having side lengths
9 cm, x cm, and 12 cm joining to form right triangle at the centre
12 inches
15 inches
108 inches
144 inches
Answer:
where is the figure? upload the fig too
Answer:
15
Step-by-step explanation:
9*9+12*12=225
12*12=144
15*15=225
108*108=11664
144*144=20736
can someone please help me with this question
Answer:
The area of the circle is 18.84.
Step-by-step explanation:
You multiply pi (3.14) by the radius of the circle, which is 6, to get the area of any circle.
The residents of a city voted on whether to raise property taxes. The ratio of yes to no votes was 3 to 5. If there were 4465 no votes, what was the total number of votes?
Answer:
2679 number of yes votes, 4465 number of yes votes. The total number of votes would be 7144. Hope this helps and if possible mark me as brainliest please. THANK YOU