Answer:
11.67 gallons of 25% and 8.33 gallons of 85%Step-by-step explanation:
Let the volume of 25% ethanol be x, then volume of 85% ethanol will be (20 - x)
The ethanol content is:
0.25x + 0.85(20 - x) = 20*0.50.25x + 17 - 0.85x = 10-0.6x = 10 - 17-0.6x = -7x = 7/0.6x = 11.6711.67 gallons of 25% ethanol and
20 - 11.67 = 8.33 gallons of 85% ethanol
Q 1.
Find the HCF of 58 and 70 using the
division method.
Answer:
Find the prime factorization of 58. 58 = 2 × 29.
Find the prime factorization of 70. 70 = 2 × 5 × 7.
To find the GCF, multiply all the prime factors common to both numbers: Therefore, GCF = 2
Step-by-step explanation:
If there are 40 boys and 32 girls in a room, fill out all of the possible ratios of boys to girls that could be made.
Answer:
5:4 is one ratio you can use for solving 5 being boys and 4 being girls
Step-by-step explanation:
Write out the first six multiple of 3 and 5 in separate lists
The lowest common multiple (LCM) is the smallest number which appears in both lists
What is the lowest common multiple (LCM) of 3 and 5
1.
x + y = 2
x - y = 4
Please help
Answer:
Step-by-step explanation:
I need your help please helppppp
Equation: 80 - 6.75x = 19.25
Sandwiches: 9
(x=9)
Mr. Bruin purchased 46 gallons of water
for the team. The team drinks exactly
5 gallons per day. For how many days
will the team have the full amount of
water to drink?
Answer:
46÷5=9.2
so the answer is 9 days
Step-by-step explanation:
Answer:
9 full days.
Step-by-step explanation:
46/5=9.2
Since it says the full amount, you can round down and get to a total of 9 days.
The estimated world population in the year 1650 was 550,000,000. The estimated
world population in 1750 was 725,000,000. By how many people did the world's
population increase between 1650 and 1750?
Answer:
175,000,000
Step-by-step explanation:
you subtract 550,000,000 from 725,000,000
PLZ HELP THANK YOU!!!
I put a ladder 1.5m away from a tree. the ladder is inclined at 70 degrees about the horizontal. What is the height of the tree?
Answer:
4.121216129m
Step-by-step explanation:
use sohcahtoa
tan(70) x 1.5m = 4.121216129m
The height of the tree is 4.12 m.
Given,
I put a ladder 1.5m away from a tree.
The ladder is inclined at 70 degrees about the horizontal.
We need to find out what is the height of the tree.
What is the formula for tangent in trigonometry?
It is given by:
Tan Ф = Perpendicular / Base
Draw a figure of the given statement.
/ | A
/ |
(ladder) / | (tree)
/. |
/. |
C /_70°_______ | B
<--------1.5m-------->
Find the AB.
AB = height of the tree.
TanФ = AB / CB
Tan 70° = AB / 1.5m
2.7474 = AB / 1.5m
AB = 2.7474 x 1.5m
AB = 4.12 m
Thus the height of the tree is 4.12 m.
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Which describes the slope of this line?
positive slope
negative slope
zero slope
undefined slope
Answer:
negative
Step-by-step explanation:
its going down
PleAsE helppppppppppppppppp
please help me on this will give you brainliest
Help please I'm marking brainiest
Answer and explanation:
1. 9:12 or [tex]\frac{9}{12}[/tex] or 9 to 12
It has 9 first because there are 9 lions and then 12 after because there are 12 elephants.
2. 8:16 or [tex]\frac{8}{16}[/tex] or 8 to 16
It has 8 first because there are 8 giraffes and then 16 after because there are 16 otters.
3. 9:10 or [tex]\frac{9}{10}[/tex] or 9 to 10
It has 9 first because there are 9 lions and then 10 after because there are 10 seals.
4. 10:12 or [tex]\frac{10}{12}[/tex] or 10 to 12
It has 10 first because there are 10 seals and then 12 after because there are 12 elephants.
5. 12:9 or [tex]\frac{12}{9}[/tex] or 12 to 9
It has 12 first because there are 10 elephants and then 9 after because there are 9 lions.
6. [tex]\frac{8}{6}[/tex] or [tex]\frac{40}{30}[/tex] or [tex]\frac{16}{12}[/tex]
I just multiplied it first the first one by 2, second one by 10, and 3rd one by 4.
7. [tex]\frac{6}{7}[/tex] or [tex]\frac{42}{49}[/tex] or [tex]\frac{60}{70}[/tex]
I just simplified it first, then I multiplied the simplified one by 6 for the second one, and for the 3rd one I multiplied the simplified by 10.
8. [tex]\frac{2}{3}[/tex] or [tex]\frac{4}{6}[/tex] or [tex]\frac{20}{30}[/tex]
I just simplified it first, then I multiplied the simplified one by 2 for the second one, and for the 3rd one I multiplied the simplified by 10.
9. 3:4 is equivalent to 6:8, 30:40, 12:16
I multiplied it first by 2, then by 10, then by 4.
10. 5:7 is equivalent to 10:14, 50:70, 25:35
I multiplied it first by 2, then by 10, then by 5.
11. 9:2 is equivalent to 18:4, 90:20, 27:6
I multiplied it first by 2, then by 10, then by 3.
12.
a. 48
So first, the ratio we know is 5:4 which in other words is 5x:4x. We also know that there are 60 clownfish. So that means 5x = 60 --> x = 12. So then 4x has to equals 12 x 4 which is 48.
b. 36
So first, the ratio we know is 4:3 which in other words is 4x:3x. We also know that there are 48 angelfish. So that means 4x = 48 --> x = 12. So then 3x has to equals 12 x 3 which is 36.
Hope this helped! <3
A car travels 120 miles in 3 hours
at a steady speed.
1? how far does the car travel
2) how far would the car
haved in 8 hour?
in one hour
Answer:
120 miles = 3 hrs
1 mile = 3/120 = 1/40
200 miles = 1/40 × 200
= 5 hrs
Step-by-step explanation:
PLEASE ANSWER! 15 POINTS AND WILL MARK AS BRAINLIEST!
the answer would be 8cm
Which of the following shows the solution to m+5 >-1
Answer:
The fourth once
Step-by-step explanation:
Solve for x please I’m confused
Answer:
1. x = 12 2. x = 5.6 the 6 is repeating
Step-by-step explanation:
what is evaluate and step by step
Answer:
To evaluate is basically you just do what the question is asking.
Step-by-step explanation:
So for example a2. You would have to add 16 and 20 then divide by 1/6 .
I need help can anyone help me on this?
[tex]-13 =\dfrac r9+8−13= 9r +8[/tex]
Answer:
r = -189
Step-by-step explanation:
multiply both sides by 9 to get rid of the fraction.
-117=r+72
now subtract 72 from both sides.
-117-72=r
r = -189
3) Sally is twice as old as Jane. The sum of their ages is 54. Find their ages.
Answer:i think its 56 for sally
Step-by-step explanation:
Answer: 108 or 162
Step-by-step explanation:
To rent a certain meeting room, a college charges a reservation fee of $38 and an additional fee of $7.40 per hour. The history club wants to spend less then $75.00 on renting the meeting room.
What are the possible amounts of time for which they could rent the meeting room? Use t for the number of hours the meeting room is rented, and solve your inequality for t.
Answer:
the anwser is 55 easy hope this helps;)
Step-by-step explanation:
Element X decays radioactively with a half life of 6 minutes. If there are 140 grams of
Element X, how long, to the nearest tenth of a minute, would it take the element to
decay to 33 grams?
Answer:
28.6
Step-by-step explanation:
Help!will give brainliest!
Answer:
B, D, E
Step-by-step explanation:
Anything greater than -5 is in the domain.
Please help me :))!!!! it’s pass due lolololol
Given parallelogram JKLM, complete the following statements.
Answer:
m∠K = 43°
Step-by-step explanation:
By the properties of a parallelogram,
1). Opposite sides of a parallelogram are equal and parallel.
(6y - 13) = 32 - 3y
6y + 3y = 32 - 13
9y = 45
y = 5
2). Consecutive interior angles are supplementary.
m∠M + m∠J = 180°
(6x + 17) + (2x + 3) = 180°
8x + 20 = 180°
8x = 160°
x = 20
m∠M = (2x + 3)°
= 2(20) + 3
= 43°
3). Opposite angles of a parallelogram are equal in measure.
m∠M = m∠K = 43°
Parallelogram is a closed shaped quadrilateral in which the opposite sides are equal and parallel. Consecutive angles in a parallelogram are supplementary. The value of x is 20, the value of the y is 5 and value of the angle K is 43 degrees.
Given-Length of the line XL is 2y+23.
Length of the line Ml is 32-3y.
Length of the line JK is 6y-13.
Parallelogram
Parallelogram is a closed shaped quadrilateral in which the opposite sides are equal and parallel. Consecutive angles in a parallelogram are supplementary.
As the sum of the consecutive angles is equal to the 180 degrees (supplementary). Thus,
[tex]\angle J+\angle M=180\\ 6x+17+2x+3=180\\ 8x+20=180\\ x=\dfrac{180-20}{8}\\ x=20[/tex]
Thus the value of x is 20.
As the the opposite sides of the parallelogram are equal. Thus,
[tex]\begin{aligned}\\ ML&=JK\\ 32-3y&=6y-13\\ 6y+3y&=32+13\\ 9y&=45\\ y&=\dfrac{45}{9} \\ y&=5\\ \end[/tex]
Thus the value of the y is 5.
Opposite angle are equal thus,
[tex]\angle K=\angle M\\ \angle K=2x+3\\ \angle K=2\times20+3\\ \angle K=43[/tex]
Thus the value of x is 20, the value of the y is 5 and value of the angle K is 43 degrees.
Learn more about the parallelogram here;
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Mr. Brackett works in factory with his two sons. He is really happy with his job because he gets to spend some time with his beloved sons not only at home but also at work! He is allowed to take a break every 140 minutes while his two sons are allowed to take breaks in 210 minutes and 280 minutes. How many minutes will they have to wait after their first break together to get together again?
Answer:
840 minutes
Step-by-step explanation:
We solve this question using the LCM Method
Find and list multiples of each number of minutes which is given in the quest as 140, 210 and 280 minutes until the first common multiple is found. This is the lowest common multiple.
Multiples of 140:
140, 280, 420, 560, 700, 840, 980, 1120
Multiples of 210:
210, 420, 630, 840, 1050, 1260
Multiples of 280:
280, 560, 840, 1120, 1400
Therefore,
LCM(140, 210, 280) = 840
Therefore, they would have to wait after their first break together to get together again after 840 minutes
Elsie purchased 2 boxes of party invitations for $6.83 each. She mailed 23 party invitations to her friends and relatives. The cost to mail each invitation was $0.48. What was the total cost, in dollars and cents, for the invitations and the cost to mail them?
Answer:
24.7
Step-by-step explanation:
Determine the x-intercepts.
y=-xpower of 2- 2x+3
Helppp!!! ASAP
Answer:
4/2
Step-by-step explanation:
Which expression is equivalent to 7(b+2)?
Answer:
the answer is in the attachment
Step-by-step explanation:
