Answer:
20 gallons of 15% solution must be mixed with 5 gallons of 40% solution.
Step-by-step explanation:
40% of 5 gallons is 2 gallons of sugar
x represents the number of gallons of solution to be added.
15% of x is sugar.
The total amount of sugar must be equal to 20% of the final mixture.
The end mixture will be x + 5 gallons
Change percent to decimal for the equation:
.2(x +5) = .15x +2
.2x +1 = .15x +2
.2x - .15x = 2 -1
.05x = 1
x = 20
Check:
.2(20 +5) = .15(20) +2
.2(25) = 3 + 2
5 = 5 true
This means that adding 20 gallons of the 15% solution is adding 3 gallons of sugar [along with 17 gallons of water] to the 2 gallons of sugar in the original mixture.
20% of the 25 gallons, 5 gallons, of the final mixture is sugar. 80% [ 3+17 = 20 gallons] is water.
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
Answer:
(4,0)
Step-by-step explanation:
A businessman dropped a coin from the top floor of his office building and it fell according to the formula S(t)=−16t^2+3t^0.4, where t is the time in seconds and S(t) is the distance in feet from the top of the building.
Answer:)
Step-by-step explanation:
  Please help this is due today please i really need help it’s due in 5 hours!!!
Given parallelogram FGHI determine the missing information
Don’t answer with one answer, blank or ridiculous answer please this is serious
Answer:
y = 3 cm and x = 2.5 cm
Step-by-step explanation:
As we can see it is a parallelogram so
y = 3 cm (being opposite sides of parallelogram)
Now while calculating the diagonal we can use the Pythagoras relation. i.e
perpendicular (p) = 4 cm (IH)
Base (b) = 3 cm (FI)
Hypotenuse (h) = FH = ?
We know by using Pythagoras theorem
h = √ p² + b²
= √ 4² + 3²
= √ 25
= 5 cm
Here we got FH = 5 cm
so the value of x will be 2.5 cm as the diagonal bisects.
Hope it will help :)
ANSWER QUICK FOR BRANLIEST PLEASEEEE!!! There are 4 packs of crayons for every 7 students. How many students can share 16
packs?
IF KOBE HAD 8 DUNKS AND LEBRON HAD 10, HOW MANY MORE DUNKS DID LEBRON HAVE THEN KOBE?
Answer:
2
Step-by-step explanation:
10-8
Answer:
Step-by-step explanation:
2
i to the power of 121 is equal to what
Answer:
1
Step-by-step explanation:
Hope this helps and have a great day!!!!!
Solve for the area:
32 cm^2
16 cm
32 cm
16 cm^2
[tex] \\ [/tex]
To Find : Area of triangle = ?[tex] \\ [/tex]
Solution :As, we have :
Base of triangle, b = 8 cmHeight of triangle, h = 4 cm[tex] \\ [/tex]
So, to find area of triangle we have a formula :
[tex] \large \underline{\boxed{\bf{Area_{(triangle)} = \dfrac{1}{2} \times b \times h}}}[/tex]
[tex] \tt : \implies Area = \dfrac{1}{2} \times 8 \: cm \times 4 \: cm[/tex]
[tex] \tt : \implies Area = \dfrac{1}{2} \times 32 \: cm^2[/tex]
[tex] \tt : \implies Area = \cancel{\dfrac{32}{2}} \: cm^2[/tex]
[tex] \tt : \implies Area = 16 \: cm^2[/tex]
[tex] \\ [/tex]
Hence, area of given triangle is 16 cm².
whoever answers it gets 5 staars
Answer:
the line crosses the y-axis below the origin
Step-by-step explanation:
the sum of present ages of Anil and Sunil is 22 years. if anils present age is one-half of sunils present Age plus 4 years .find their present age
Answer:
A+S=22
A=S/2+4
Multiply second equation by 2 and rearrange.
2A-S=8
Add equations 1 and 3.
3A=30
A=10
Substitute for A in either of the first 2 equations to get
S=12
Step-by-step explanation:
How can we get system B for system A?
And
Are the systems equivalent?
Answer: Subtract the equations in system A.
=============================================================
Explanation:
The first equation of each system is the same, so we'll try to transform the second equation of system A into the second equation of system B.
There are probably a number of ways to do this, but the quickest way that I can see is to subtract the equations of each system.
For system A, notice how the x terms line up and subtract to 5x-4x = 1x = x. In that same system, we have the y terms subtract to y minus (-7y) = y-(-7y) = y+7y = 8y
So far we have x and 8y as the results. So the left side is x+8y, which matches with the x+8y in the second equation of system B. So far so good.
Now we subtract the values on the right hand sides of each equation of system A. We get 3-8 which turns into -5, which also matches with the -5 in the second equation of system B.
Overall, subtracting the two equations of system A leads to x+8y = -5, which is the second equation of system B.
Pls help this is my last points
Answer:
520 - 10x = 380
Step-by-step explanation:
x= 14
Answer:
520-10x=380
x = 14
Step-by-step explanation:
Question Help
The number of kilograms of water in a human body varies directly as the mass of the body. An 87 kg person contains 58 kg of water. How many kilograms of water are
in a 78 kg person?
kg of water are in a 78 kg person
Answer:
52kg
Step-by-step explanation:
use cross multiplication method when encounter problems like these
Factorize
2(x+y) ²+9 (x+y)+7
Answer:
(2x+2y+7)(x+y+7)
Step-by-step explanation:
I suspect this is what you are expected to do.
Define z=x+y
2z^2+9z+7
2z^2+2z+7z+7
2z(z+1)+7(z+1)
(2z+7)(z+1)
(2x+2y+7)(x+y+7)
Please help!! Please
what do u need help with?
Step-by-step explanation:
I'm in confusion
¯\(°_o)/¯
HELP!!
Which of these matrices have a positive determinats??
Answer:
3 and 4!!
hope this helps!!!
What is the value of the expression 4 × (2a − 1) if a = 3?
A16
B20
C23
D25
Andrew had a balance of $263.72 in his checking account. He had deposits to his account of $24.85, $131.63, and $58.29. He had withdrawals to his account of $74.25 and $25.00. What is the new balance in Andrew’s account? WHOEVER ANSWERS FIRST GETS BRAINLIESt
Answer:
$379.24
Step-by-step explanation:
263.72+24.85+131.63+58.29=478.49
478.49-74.25-25=379.24
Hope this helped :)
Plz mark as Brainliest :)
how do you solve 3x-7 over 3
Answer: x - 7/3
Step-by-step explanation:
I think thats the farthest you can go with this problem
Answer:
Let's simplify step-by-step.
3x−7^3
=3x−343
Step-by-step explanation:
Find the slope of the line.
Slope = type your answer...
Answer:
slope= (-1)
...................
a line passes through the point (-8,5) and has a slope of 5/4 write an equation in slope intercept form
how many triangles can be constucted measuring 60°, 60°, and 40°
Answer:
None, the sum of those angles does not equal 180 degrees
Answer:
none of the traingle can be constructedThe answer of this question is none. The sum of these three angles is 160°. So, none of the triangles can be constructed with angles measuring 60°, 60° and 40°
60°+60°+40°=160°The sum of three angles is 160°
so, none of the traingle can be constructed with angles measuring 60°,60°and 40°.
Step-by-step explanation:
Hope it is helpful....
-x²-2x+7=-17 help lol
Hi can anyone help me? :)
Answer:
[tex]d(n) = - ( {7}^{n - 1} )[/tex]
Please help will give brainleist
Answer:
[tex]7\frac{1}{2}[/tex] square feet
Step-by-step explanation:
2 * [tex]3\frac{3}{4}[/tex] = 2 * 15/4 = 15/2 = [tex]7\frac{1}{2}[/tex] square feet
if £1 = 0.864 Lt, work out the amount, to the nearest penny , that 1 Lt is worth
Answer:
[tex]1\ Lt = \pounds 1.157[/tex]
Step-by-step explanation:
Given
[tex]\pounds 1 = 0.864\ Lt[/tex]
Required
Determine the worth of 1 Lt
[tex]\pounds 1 = 0.864\ Lt[/tex]
Divide both sides by 0.864
[tex]\pounds \frac{1}{0.864} = \frac{0.864}{0.864}\ Lt[/tex]
[tex]\pounds \frac{1}{0.864} = 1\ Lt[/tex]
[tex]1\ Lt = \pounds \frac{1}{0.864}[/tex]
[tex]1\ Lt = \pounds 1.157[/tex] -- approximated
A rectangular room is 14 feet by 20 feet. A rectangular rug is placed in the room so that a 2-foot border of floor around the edge of the room is not covered by the rug. What is the area of the rug?
Answer:
the rug should be 10 feet by 16 feet
this makes the area 160 foot squared
Step-by-step explanation:
there is a 2 foot border on each side so the total area loses 4 feet from length. this gives 10 feet by 16 feet.
160
top correct lolssssss
Find the answer of m< VZY
Answer:
41
Step-by-step explanation:
What is the measure of XYZ?
Answer:
a. An inscribed angle is 1/2 the intercepted arc. The intercepted arc is 68°. The measure of angle xyz is therefore 34°.
Answer:
34 degrees
Step-by-step explanation:
charlotte has 3 yards of fabric she needs to cut the fabric into 7 equal peices. how many yards long should each peice of fabric be?
Answer:21
Step-by-step explanation:
Need help for geo..will mark brainlist
Postulate/theorem = SAS postulate
Explanation :Given :
One side in both triangles are congruent. Another side in both triangles is also congruent. The angles between these two sides are also equal.Since 2 sides and an included angle is equal in these two triangle, they are said to be congruent under the SAS congruence postulate.
2nd pair of triangles :Postulate/theorem = ASA postulate
Explanation :Given :
In triangle KDS and triangle KWS :
Angle K = Angle KAngle S = Angle SSide KS = Side KSSince 2 angles and an included side is equal in these two triangles, they are said to be congruent under the ASA congruence postulate.
3rd pair of triangles :Postulate/theorem = AAS theorem
Explanation :Given :
In triangle ACB and triangle BED :
Angle A = Angle BAngle B = Angle DSide CB = Side EDSince two angles and one side is equal in these two triangles, they are said to be congruent under the AAS theorem.