A chemical company makes two brands of antifreeze. The first brand is 55% pure antifreeze, and the second brand is 80% pure antifreeze. In order to obtain 180 gallons of a mixture that contains 65% pure antifreeze, how many gallons of each brand of antifreeze must be used?​

Answers

Answer 1

Step-by-step explanation:

the first brand = (65-55)/(80-55) x 180

= 10/25 × 180

= 72 gallons

the second brand = (80-65)/(80-55)×180

= 15/25 × 180

= 108 gallons


Related Questions

Find the slope of a line that contains the two points. (-2, 8) and (1, 2)?

Answers

Answer:

The slope is -2

Step-by-step explanation:

(-2, 8) and (1, 2)

Slope formula:

m= (y2-y1)/(x2-x1)

Work:

m= (2 - 8)/(1 + 2)

m= (-6)/3

m = -2

PLEASE HELP ME IM RUNNING LOW ON TIME

Answers

Answer:

[tex]1)x = 8 \\ x + y + 2 = 8 + y + 2 = 10 + y \\ 2)x = 9 \\ x + y + 2 = 9 + y + 8 = 17 + y \\ 3)y = 3 \\ x + y + 2 = x + 3 + 2 = x + 5 \\ 4) y = 0 \\ x + y + 2 = x + 0 + 2 = x + 2 \\ 5)x = 6 \: y = 2 \\ x + y + 2 = 6 + 2 + 2 + = 10 \\ thank \: you[/tex]

A commodity was sold for 120.00 at a 20% loss on the cost. What is the price of the merchandise?​

Answers

Answer:

$150

Step-by-step explanation:

CP = 100/(100 - L%) × SP

CP = 100/(100 - 20) × 120

CP = 100/80 × 120

CP = 5/4 × 120

CP = 5 × 30

CP = $150

Combine the like terms to create an equivalent expression for −5j+(−2j)+3

Answers

Answer:

-7j + 3

Step-by-step explanation:

Combine like terms:

-5j + (-2j) = -7j

-7j + 3

Answer and Step-by-step explanation:

Simply combine the values together.

-5j - 2j + 3

-7j + 3 is the answer.

#teamtrees #PAW (Plant And Water)

I hope this helps!

36. A function g is described below
.
g(x) = (x - 3)2 + 1
• The domain of g is all real numbers greater than 0.
The range of g is all real numbers greater than
or equal to -
F. 1
H. -3
G. 3
J. 10

Answers

Answer: F

Step-by-step explanation:

A square is always positive:

[tex](x-3)^2 \geq 0\\\\g(x)=(x-3)^2+1 \geq 1\\\\answer\ F\\[/tex]

Answer:

F.

Step-by-step explanation:

The expression (x - 3)^2 is always >= 0.

The minimum value of g occurs when x = 3 :- that is (3-3)^2 + 1 = 1.

The range of g(x) is all real numbers >=  1.

Pringle's variety pack 18 cups for $6.48 cost per cup

Answers

Answer:

0.36

Step-by-step explanation:

Cuantos gramos de grasas saturadas hay en 100 g de leche entera en polvo?

Answers

Answer: Well 100g is 100 grams so 100 grams?

Step-by-step explanation:

The area of the square is 64 ft? What are the side lengths?
4
4 ft, 16 ft 4 ft, 16 ft
B)
16 ft, 16 ft, 16 ft, 16 ft
C)
8 ft. 8 ft, 8 ft. 8 ft
D)
4 ft. 4 ft 4 ft. 4ft

Answers

Answer:

C

Step-by-step explanation:

the square root of 64 is 8ft

please help me please.

Answers

Step-by-step explanation:

For every clockwise 90-degree rotation on a point (x, y), the resulted transformation will be (y, -x).

Now, counterclockwise 270 degree rotation is equivalent to clockwise 90 degree rotation. Then, for instance, point H=(2 ,-1) will be transformed into the image H'=( -1,2)

Which one of the following
lists correctly places these
rational numbers in order from
least to greatest?
-1.20, -1/5 -174-17g. -1.30

Answers

ANSWER:
in order from least to greatest
-174-17g
-1.30
-1.20
-1/5

jskaoqlqmsbdnsoqqk
[tex] \sqrt{5} \times \sqrt{15} \times \sqrt{3} [/tex]

Answers

Answer:

[tex] \sqrt{5} \times \sqrt{15} \times \sqrt{3} \\ \\ \sqrt{5 \times 15 \times 3} \\ \\ = 5 \times 3 \\ \\ = 15[/tex]

[tex]\\ \rm\longmapsto \sqrt{5}\times \sqrt{15}\times \sqrt{3}[/tex]

[tex]\\ \rm\longmapsto \sqrt{5\times 15\times 3}[/tex]

[tex]\\ \rm\longmapsto \sqrt{5\times 5\times 3\times 3}[/tex]

[tex]\\ \rm\longmapsto 5(3)[/tex]

[tex]\\ \rm\longmapsto 15[/tex]

What is the difference between the sum of 1/2 and 10 and the product of 1/2 and 10?

Answers

10.5-5=5.5

1 1/2 x 10 =5 and 1/2 + 10 = 10.5
10.5-5=5.5
the answer is 5.5

What are the coordinates of the point on the directed line segment from (-10, -3)
to (10,7) that partitions the segment into a ratio of 3 to 2?

Answers

Answer:

p(x,y)= (2,3)

Step-by-step explanation:

i have used partition formula in the pic below. If there is any question you can ask me in comment.

C. Find the equation of the line perpendicular to
y = 14x-5 and passing through (2,-3).

Answers

Answer:

[tex]y = -4x + 5[/tex]

Step-by-step explanation:

We want to find the equation of the line that is perpendicular to:

[tex]\displaystyle y = \frac{1}{4} x - 5[/tex]

And which passes through the point (2, -3).

Recall that the slopes of perpendicular lines are negative reciprocals of each other.

In other words, since the slope of the original line is 1/4, the slope of the perpendicular line will be -4.

We are also given that it passes through the point (2, -3). Hence, we can consider using the point-slope form:

[tex]\displaystyle y - y_1 = m(x- x_1)[/tex]

Substitute:

[tex]\displaystyle y - (-3) = -4 (x - (2))[/tex]

Simplify:

[tex]y + 3 = -4(x - 2)[/tex][tex]y = -4x + 5[/tex]

Distribute:

[tex]y + 3 = -4x +8[/tex]

And subtract:

[tex]y = -4x + 5[/tex]

In conclusion, our equation is:

[tex]y = -4x + 5[/tex]

4.
Evaluate the expression below if
Y = -1 and y-3
3x-y

Answers

Answer:

• If y= -1 and x= -3-8

• If y= -3 and x= -1-1

Step-by-step explanation:

If you mean: Let y= -1 and x= -33x - y = ?3(-3) - (-1) = ?-9 - (-1) = ?-8If you mean:Let y= -3 and x= -13x - y = ?3(-1) - (-3) = ?-4 - (-3) = ?-1

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

Mr. Hayes has 111 straw bundles to use for bedding in his horse stalls.What is the greatest number of stalls he can fill if each stall holds exactly 4 bundles of straw?

Answers

111 straw bundles / 4 per stall = 27.75
However, you can’t technically have a .75 of a stall, so you round down to the nearest whole number, which is 27.

how to solve this things

Answers

Answer:

8/5

Step-by-step explanation:

...................

smg membantu, mff kl slh

factorise
[tex]4p {}^{3} q + 12p {}^{2} q {}^{2} + 8pq {}^{3} [/tex]

Answers

[tex]4 {p}^{3} q + 12 {p}^{2} {q}^{2} + 8p {q}^{3} \\ = 4pq(p + q)(p + 2q)[/tex]

I hope I helped you^_^

How would I prove the congruency of these triangles?

Answers

Step-by-step explanation:

the radius cuts the segment into two equal parts because it is perpendicular to the chord

Answer:

Step-by-step explanation:

As O is the mid point of the circle

Similarly, B also becomes the mid point of the line AC.

So, line OB divides AB and BC equally.

Hence, lines AB = AC, but they are asking to prove congruency of triangles.

So, u have to join OA and OC.

Same way,   line OB divides ∠OBA and ∠OBC.

So it is proved that AB = AC

Use your birthday month and day only, and find the sum and the product and the difference, and quotient.

month is 3 and day is 11

Answers

Answer:

sum 14, difference -8, product 33, quotient 3/11

Step-by-step explanation:

Sum: add

3 + 11 = 14

Difference: subtract

3 - 11 = -8

Product: multiply

3 * 11 = 33

and quotient: divide

3 / 11

(we can leave it like this as a fraction)

Multiply and simplify completely:
(3x + 5) (2x2 – 3x + 2)
Show all work for full credit.

Answers

Answer:

[tex](3x + 5)(2 {x}^{2} - 3x + 2) \\ \\ (3x)(2 {x}^{2} - 3x + 2) + (5)(2 {x}^{2} - 3x + 2) \\ \\ 6 {x}^{3} - 9 {x}^{2} + 6x + 10 {x}^{2} - 15x + 10 \\ \\ = 6 {x}^{3} + {x}^{2} - 9x + 10[/tex]

I hope I helped you^_^

Answer:

[tex]6x^3+x^2-9x+10[/tex]

Step-by-step explanation:

[tex](3x+5)(2x^2 - 3x+2)[/tex]

Distribute

[tex]3x(2x^2-3x+2)+5(2x^2-3x+2)[/tex]

Distribute

[tex]6x^3-9x^2+6x+5(2x^2-3x+2)[/tex]

Distribute again

[tex]6x^3-9x^2+6x+10x^2-15x+10[/tex]

Combine like terms

[tex]6x^3+1x^2+6x-15x+10[/tex]

Multiply by 1

[tex]6x^3+x^2+6x-15x+10[/tex]

Combine like terms

[tex]6x^3+x^2-9x+10[/tex]

Is 16g + 10 - 4g and 20g + 10 equivalent

Answers

No 16g-4g+10 = 12g+ 10

Pls help me i’ll really appreciate it!!

Answers

this is loki ez

but just go in order


WILL MARK BRAINLIEST: In a car park, 2/3 of the cars are red.
1/5 of the cars are blue.
What fraction of the cars are red or blue?

Answers

Answer:

13/15

Step-by-step explanation:

Answer:13/15

Step-by-step explanation:

2= 2.27- m/4

How do I do this?! I need this for mathematics homework!

Answers

Answer:

1.08 = m

Step-by-step explanation:

2= 2.27- m/4

Subtract 2.27 from each side

2-2.27= 2.27-2.27- m/4

-.27 = -m/4

Multiply each side by -4

-.27 * -4 = -m/4 *-4

1.08 = m

(PLEASE ANSWER ASAP I JUST NEED TO KNOW IF I GOT THIS ONE CORRECT PLEASE EXPLAIN ALSO)

Answers

Hey there! I'm happy to help!

We have $100.75 to spend.

Each spool costs $3, and we have 24 spools.

3×24=72

Each glue costs $1 and we have 7 packages of glue.

7×1=7

We add up these expenses.

72+7=79

And we subtract from our total amount.

100.75-79=21.75

So, Joanna has $21.75 left after buying these things.

Have a wonderful day and keep on learning! :D

Answer:

21.75

total money she has is 100.75

1 spool of ribbon $3

she buys 24 spools = 24X3

$72

1 glue cost $1

so 7 package glue cost =7X1= $7

money that he left is equals to 100.75- 79

=21.75

4r + 13 = -15 -3r
i dont know how to do this and its due at 4

Answers

Answer:

r = -4

Step-by-step explanation:

4r + 13 = -15 -3r

7r = -28

r = -28/7

r = -4

Answer:

r = -4

Step-by-step explanation:

4r + 13 = -15 -3r

Add 3r to each side

4r + 13+3r = -15 -3r+3r

7r +13 = -15

Subtract 13 from each side

7r+13-13 = -15-13

7r = -28

Divide each side by 7

7r/7 = -28/7

r = -4

93. Let f(x) = 3x - 1 and g(x) = x + 5. Evaluate the following limits. (a) lim x→3 f(g(x)]
(b) lim x→3 g[f(x)]

Answers

Answer:

a) 23 and b) 13

Step-by-step explanation:

I. If f(g(x)) is composit function

Find fog and gof

     fog = 3(g) - 1

           = 3(x+5) -1

           = 3x + 15 -1

           = 3x + 14

    gof = (f) + 5

          = (3x - 1) +5

          = 3x + 4

II. Fill in a) and b) question

            lim x -> 3 fog

           = 3(x) + 14

           = 3(3) + 14

          = 9 + 14

       a)  = 23

            lim x-> 3 gof

           = 3x + 4

           = 3(3) + 4

           = 9 + 4

        b)  = 13

Got more question or something to discuss, leave comment below

Which of the following properties is this?

8x/3 • 3/8x = 1

Answers

Answer:

Multiplication

Step-by-step explanation:

Multiplication

PLS HELP ASAP GIVE ANSWER RQ
Add 5 to x, double what you have, then subtract 3 from the result and simplify the expression.
a.2x + 10
b.2x + 7
c.x + 7
d.2x – 7

Answers

ANSWER:
b. 2x+7

work shown
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