To Find :
How many gallons of a 80% antifreeze solution must be mixed with 100 gallons of 20% antifreeze to get a mixture that is 70% antifreeze.
Solution :
Let, x gallons of 80% antifreeze solution is required :
So,
[tex](x \times 80) + ( 100 \times 20 ) = (x + 100 )\times 70\\\\8x + 200 = 7( x + 100)\\\\x = 500[/tex]
Therefore, 500 gallons of 80% antifreeze solution is required.
Easy variable question pls help
Answer:
z = -4 1/2
Step-by-step explanation:
1. First change the mixed fractions to improper fractions so it's easier
[tex]\frac{16}{5\\}/(z-\frac{1}{2}) = \frac{8}{3}/(z+\frac{1}{3})[/tex]
2. Simplify
[tex]\frac{32}{5(2z-1)} = \frac{8}{3z+1}[/tex]
3. Cross multiply
[tex]32(3z+1) = 5(2z-1) * 8[/tex]
4. Simplify again (distributive property)
[tex]32(3z+1) = 40(2z-1)[/tex]
5. Distributive property
[tex]32(3z+1) -> 96z+32[/tex]
[tex]40(2z-1) -> 80z-40[/tex]
[tex]96z+32=80z-40[/tex]
6. Subtract 32 from both sides
[tex]96z+32-32 = 80z-40-32[/tex]
7. Simplify
[tex]96z = 80z-72[/tex]
8. Subtract 80 from both sides
[tex]96z-80z=80z-72-80z[/tex]
9. Simplify
[tex]16z=-72[/tex]
10. Divide both sides by 16
[tex]\frac{16z}{16}=\frac{-72}{16}[/tex]
11. Simplify
[tex]z=-\frac{9}{2} -> also = -4\frac{1}{2}[/tex]
Sorry if it was too long but hope this helps! :)
And also try using symbolab cuz it gives step by step explanations it's really good!
Help me pls !!!!! Rlly need it
Answer:
its ajwhwowhwkwuquwwyqkqhqoagwkw6shsossgsjiwhesishsisjsjsishwiwgaisujwwisu
Which fraction is equivalent to 12/27? help
[tex]\begin{gathered}\dfrac{12}{27}=\dfrac{12:3}{27:3}=\dfrac{4}{9}\\\\\dfrac{12}{27}=\dfrac{12\cdot2}{27\cdot2}=\dfrac{24}{54}\\\\\dfrac{12}{27}=\dfrac{4}{9}=\dfrac{4\cdot2}{9\cdot2}=\dfrac{8}{18}\\\vdots\end{gathered}[/tex]
Hope This Helps YouAnswer:
[tex]\huge\boxed{Answer\hookleftarrow}[/tex]
Fractions equivalent to [tex] \frac{12}{27} [/tex] are :-
1st Fraction :-[tex] \frac{12 \div 3}{27 \div 3} \\ = \frac{4}{9} [/tex]
2nd Fraction :-[tex] \frac{12 \times 2}{27 \times 2} \\ = \frac{24}{54} [/tex]
3rd Fraction :-[tex] \frac{12 \times 3}{27 \times 3} \\ = \frac{36}{81} [/tex]
✐ 3 fractions equivalent to [tex] \frac{12}{27} [/tex] are ⇻ [tex] \frac{4}{9} , \: \frac{24}{54} , \: \frac{36}{81} [/tex]
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
# ꧁❣ RainbowSalt2²2² ࿐
PLEASE HELP! 20 POINTS!!
The tops of two tables in a furniture store are similar rectangles as shown below.
The length of the larger tabletop is 12 feet. What is its width, x?
Answer:
X = 8
Step-by-step explanation:
Calculate the radius of the below. Show all work.
Area -0.25 ft
Answer:
r ≈ 0.28
Step-by-step explanation:
[tex]r=\sqrt{\frac{A}{\pi } }[/tex]
[tex]r=\sqrt{\frac{0.25}{\pi } }[/tex]
0.28209
≈ 0.28
5(k+2)-3(k+2) combine to make simpiler
Answer:
2k + 4
Step-by-step explanation:
David,
Start by performing the indicated multiplication:
5(k+2)-3(k+2) becomes 5k + 10 - 3k - 6.
Next, combine like terms: 5k - 3k + 10 - 6 becomes 2k + 4
This 2k + 4 is the desired simpler result.
Find the values of X and Y. Show your work.
Answer:
x = 6
y = 24
Step-by-step explanation:
Recall: length of corresponding sides of similar figures are proportional to each other.
Thus:
4/12 = x/18 = 8/y
Find x:
4/12 = x/18
1/3 = x/18
Cross multiply
3x = 18
3x/3 = 18/3
x = 6
Find y:
4/12 = 8/y
1/3 = 8/y
Cross multiply
y = 8*3
y = 24
WILL GIVE BRAINLIST
MATH
CONVERT EACH MEASUREMENT
SHOW STEPS ALL
9 1/8 lbs to ounces
Answer:
146 Ounces.
Step-by-step explanation:
9.125 [tex](\frac{1}{8})[/tex] lbs to ounces.
Multiply the mass value by 16.
To Check Work:
Divide 146 by 16 which equals [tex]\frac{73}{8}[/tex]/ 9.125.
Divide 146 by 9.125 [tex](\frac{1}{8})[/tex] which equals 16.
A semi-circle with a diameter of 6 cm sits on top of an isosceles trapezoid. Find the area of the entire figure.
Answer:
86.13 cm²
Step-by-step explanation:
the area of the entire fig =
(½×3.14×3²) + (½×(10+6)×9)
= (14.13)+(72) = 86.13
for homework lawl
Evaluate each expression when x is 4 and y is 6.
(6-x)3 + y
Can someone answer this?
Answer:
Step-by-step explanation:
6x-1+3x+5x+3+4x+8+5x+5=360 degree(sum of exterior angle of a pentagon is 360 degree)
23x+15=360
23x=360-15
x=345/23
x=15
therefore the value of x is 15 degree.
your friend borrowed 1050 from you to buy a new dirt bike. your friend pays you back the principal plus 7.25% interest per year for 3 years. what is the total amount your friend will owe you at the end of 3 years
Answer:
12.78375
Step-by-step explanation:
7.25% of 10.50 = 0.76125
0.76125 × 3 = 2.28375
10.50 + 2.28375 = 12.78375
So his friend will owe him 12.78375
Can I get help with number 16.
A) Do the following lengths form a right triangle? Prove it by SHOWING YOUR WORK. 0 6 8 9
Answer:
friend me on here and imma send you the link Step-by-step explanation:
In the triangle below..
Answer:
44
Step-by-step explanation:
Step 1: Create an equation to solve for ∠Z
Recall that trig ratio tangent = Opposite over Adjacent
Opposite of ∠Z = 75 and adjacent of ∠Z = 79
Hence, [tex]tan(z)=\frac{75}{79}[/tex]
We now solve for z
Step 1: Multiply each side by the inverse of tan ( tan ) ^-^1
[tex]tan(z)*tan^-^1=z\\tan^-^1(\frac{75}{79} )=43.51213147[/tex]
We're left with z = 43.51213147
Our last step is to round to the nearest degree,
We get that ∠Z = 44
The sum of the angles of a polygon is 2160. How many sides does the polygon have?
Answer:
14 sides
Step-by-step explanation:
Sum of the interior angles of a polygon is given by the formula (n-2)180°. So (n-2)180° = 2160°. So the polygon has 14 sides.
Let g(t)= t−16 t−4. a. Make two tables, one showing the values of g for t=15.9, 15.99, and 15.999 and one showing values of g for t=16.1, 16.01, and 16.001. b. Make a conjecture about the value of limt→16 t−16 t−4.
Answer:
[tex]\lim_{t \to \ 16} (t-16)(t-4) =0[/tex]
Step-by-step explanation:
g(t)= (t-16)(t-4)
(a) Then, we have,
t g(t)
15.9 -1.19
15.99 -0.1199
15.999 -0.011999
Also, we have,
t g(t)
16.1 1.21
16.01 0.1201
16.001 0.012001
(b) We can see, from the above table that as 't' tends to 16 from the left hand side, the value of g(t)= (t-16)(t-4) is tending to 0 from the negative direction.
Similarly, from the second table, we can see that as 't' tends to 16 from the right hand side, the value of g(t)= (t-16)(t-4) is tending to 0 from the positive direction.
Thus, we can say that [tex]\lim_{t \to \ 16-} (t-16)(t-4)[/tex] & [tex]\lim_{t \to \ 16+} (t-16)(t-4)[/tex], i.e., the left hand limit and right hand limit of g(t)= (t-16)(t-4), at t=16, both exist and is both equal to 0.
Since both these limits exist and are equal, we can say, [tex]\lim_{t \to \ 16-} (t-16)(t-4) = \lim_{t \to \ 16+} (t-16)(t-4) = \lim_{t \to \ 16} (t-16)(t-4) = 0[/tex]
An advertising company charges $40 per half - page advertisement and $75 per full-page advertisement. Michael has a budget of $800 to purchase 13 advertisements. A) Define a variable for each unknown. Write a system of equations to represent the situation. B( How many half-page advertisements does Michael purchase? Show Your Work. C) How many full-page advertisements does Michael purchase? Show your Work. ( Will Mark Brainliest but have to show work) Answer A, B & C. No links or nonsense answers please.
The number of half page advertisements that Michael purchased is 5 while the full page advertisements is 8.
Let the number of half page ads be represented by h
Let the number of full page ads be represented by f.
Therefore, the system of equations to represent the situation will be:
h + f = 13 ....... i
40h + 75f = 800 ........ ii
From equation i,
h = 13 - f ....... equation iii
Put the value of h into equation ii
40h + 75f = 800
40(13 - f) + 75f = 800
520 - 40f + 75f = 800
Collect like terms
75f - 40f = 800 - 520
35f = 280
f = 280/35
f = 8
The number of full-page advertisements that Michael purchased is 8.
Since h + f = 13
h + 8 = 13
h = 13 - 8
h = 5
The number of half page advertisements that Michael purchased is 5.
Read related link on:
https://brainly.com/question/24429956
Find m=FGP if m=FGP = x + 8, m=FGH = 100°, and
m=PGH =6x + 8
Please Please help, no links
Plz help me well mark brainliest if correct,.....???.
Answer:
B: 6
the heights between 45 and 55 are : 46, 49, 50, 50, 52,52
thats 6 students
Step-by-step explanation:
please mark brainliest
the equation s=2√5x can be used to estimate the speed ,s,of a car in milles per hour, given the length in feet ,x, of the tire marks it leaves on the ground .A card travelling 90 miles per hour came to a sudden stop according to the equation ,how long would the tire marks be for this car A 355 feet B 380 feet C 405 feet D 430 feet
Answer:
405 feet
Step-by-step explanation:
s = 2 * (√5) * 90
s = 2 * 201.246117975
s = 402.49223595
Closest estimate
405 feet
Answer:
Since The equation that depicts the motion of the Car is given.
The speed in terms of the tire marks...
s= 2√5x
where x is the tire marks(in feet.)
s is the speed(miles per hr)
We can't use the speed in Miles per hr when the tire mark is feet.
1mile = 5280ft
90miles x 5280ft/1mile = 475,200ft/hr
Making x the subject
x= s/2√5
x= 475/200/(2√5 )
=106,257ft
I still can't see what I'm missing or You sure you didn't forget to add something else to the question?
Could someone answer for this for me?
PROBLEM 1. Veldora walked around the circular pool. The circular pool has a
diameter of 3 meters. What is the distance that Veldora has walked?
Step 1 – Read and understand
What is asked in the problem? ____________________________
What do you know of the problem?________________________
Step 2 – Plan
What must be done to solve the problem? _________________
Step 3 – Solve and answer ___________________________
Carry out the plan & write the final answer. _______________
Step 4 – Check
Is the answer correct? _______________________
PROBLEM 2. How much greater is the circumference of the circle with a diameter of
12m than another circle with a radius of 5m?
Step 1 – Read and understand
What is asked in the problem? ____________________________
What do you know of the problem?_______________________
Step 2 – Plan
What must be done to solve the problem?_________________
Step 3 – Solve and answer ________________________
Carry out the plan & write the final answer._______________
Step 4 – Check
Is the answer correct?_________
Answer:
9.42m
Step-by-step explanation:
I took this on a test. Was extremely difficult, but I remembered the answer after my 4th retake
how to do this.If you dont understand my language use the english
Nisbah sebara : nisbah yg mempunyai bentuk terendah yg sama
Pasangan nisbah yang berkadaran : nisbah yg mempunyai bentuk terendah yg sama
A football field is a rectangle 80 meters wide and 110 meters long. Coach Trevor asks his players to run from one corner to the other corner by running diagonally across the field. What is the distance from one corner of the field to the other corner? Answer choices are rounded to the nearest meter.
Answer:
136
Hypothenus² = Opposite² + Adjacent²
H²= 110² + 80²
H²= 18500
H= √18500
H = 136m
Find the sum of the first four terms of the geometric series 5 + 50 + 500+....
The answer is 5 + 50 + 500+5000= 5555
Find the measurement of 1
What’s the answer and how do you do it
Answer:
68
Step-by-step explanation:
Estimate the difference of the decimals below by rounding to the nearest whole number.
23.827
- 1 .218
Answer:
23
Step-by-step explanation:
The difference between the 23.827 - 1.218
23.827 - 1.218 = 22.609
By rounding to the nearest whole number it is 23.
PLEASEEEEEE PLEASEEEEEE HELPPPPPP IM BEGGING SOMEONE PLEASEEEEEEE I REALLY NEED HELPPPPPPPPPP
Answer:
Step-by-step explanation:
4x-5+3x+5+40=180 degree(sum of interior angles of a triangle)
7x+40=180
7x=180-40
x=140/7
x=20
Solve 1/3(3.2×1.4)2.8
Simplify your answer
4 68⁄375 is the purpose answer