How many gallons each of 15% alcohol and 5% alcohol should be mixed to obtain 10 gal of 14% alcohol?


How many gallons of 15% alcohol should be in the mixture? _____ gal

Answer:

50 degrees

Step-by-step explanation:

The diagram is attached below.

Theorem: The Exterior angle of a triangle is equal to the sum of two opposite interior angles.

By the theorem stated above:

m∠3+m∠5=m∠1

2x+20+30=3x

3x-2x=50

x=50

The value of x is 50 degrees.

Answer:

50

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

24^2 = 576

10^2 =100

576+100=676

26^2=676

Answer:

True

Step-by-step explanation:

Use the pathagorean theorum:

a squared +b squared=c squared

(the numbers squared)

676, 576, 100

a=576 b=100 c=676

because 676=576+100

Answer:

The y-intercept of the first inequality is -1.

The y-intercept of the second inequality is +1.

The fourth graph has these correct.

Answer:

1/9 cubic feet

Step-by-step explanation:

The volume of one cube would be (1/3)³ = 1/27, therefore the volume of three cubes would be triple that amount, which is 1/27 * 3 = 1/9 ft³.

Answer:

exponential form =  2 ^8 = 4^ 4 = 16^ 2 = 256^ 1

Step-by-step explanation:

256

= 2 × 2 × 2 × 2 × 2 × 2 × 2 × 2

= 2 ^8 = 4^ 4 = 16^ 2 = 256^ 1

Answer:

Step-by-step explanation:

[tex]2^{-7} \times2^9\times2^6\\\frac{1}{2^{7} } \times2^9\times2^6\\\frac{1}{128} \times 512 \times 64\\= 32768/128\\ = 256\\= 16^2 or\\ 4^4[/tex]

Answer:

Let the fourth angle be x

Angles in a quadrilateral add up to 360°

To find the fourth angle add all the known angles and subtract them from 360°

That's

x + 120+37+48=360

x + 205 = 360

x = 360-205

x = 155°

Therefore the fourth angle is 155°

Hope this helps

Answer:

C. $2.70

If one pound of apples cost 3 times the amount of a pound of bananas, then a pound of apples costs; $2.70.

The cost per pound of apples will be $2.70, which is the correct answer would be option (C).

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

Let the cost per pound of apples be x, and the cost per pound of banana be y

She spent a total of $9.90 on 3 pounds of apples and 2 pounds of bananas.

So, 3x + 2y = 9.90 ....(i)

And the apple cost 3 times as much per pound as bananas.

So, x = 3y

y = x/3  ....(ii)

Substitute the value of y = x/3 in the equation (i), and solve

3x + 2(x/3) = 9.90

3x + 2x/3 = 9.90

11x/3 = 9.90

11x = 2.97

x = 2.97/11

x = 2.70

Thus, the cost per pound of apples will be $2.70.

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Answer:

you're right

Step-by-step explanation:

2 + 5x ≥ 52

5x ≥ 50

x ≥ 10

7 - x > -2

-x > -9

x < 9

Answer: Yes

The only difference between simplifying equations and inequalities is that if you ever divide both sides by a negative, flip the sign.

Hope it helps <3

Answer:

a) 0.1 [ 0.10 ] probability

Step-by-step explanation:

Workout for a) question

Propability of hving boiled eggs + Propability of hving poached eggs + Propability of hving fried eggs = 100

x + 25 + 65 = 100

x=10

Writing as decimal

x=0.10=0.1

b)

i) 10 percent of hving boiled eggs on first day 65 percent of hving fried eggs in second day

ii) 65 percent of hving fried eggs on both days

iii) 10 percent propability of hving atleat one boiled egg in 1 day

Hope this helps....

Answer:

yes this is right

Step-by-step explanation: i dont even no the answer i just said its right

Answer:

-10< x< 3

Step-by-step explanation:

Please see attached picture for full solution.

*Sign changes when you divide inequality with a negative number.

Further explanation:

When you add, subtract, divide or multiply an inequality, it applies throughout. This means that from step 1 to 2, if you subtract 1 from the constant 58 to obtain 57, your inequality should be:

19< -6x -3< 57

Note that you do not subtract 1 from the coefficient of x (which means -6x does not become -7x since -7 is not a constant here).

Thus, the easiest way to solve an inequality with 2 inequality signs is to split them up into 2 different inequalities first and solving them separately before combining them into 1 to solve the question.

Answer:

C = (2,2)

Step-by-step explanation:

B = (10 ; 2)

M = (6 ; 2)

C = (x ; y )

|___________|___________|

B (10;2)            M (6;2)             C ( x; y)

So:

dBM = dMC

√[(2-2)^2 + (6-10)^2] = √[(y-2)^2 + (x - 6)^2]

(2-2)^2 - (6-10)^2 = (y-2)^2 + (x - 6)^2

0 + (-4)^2 = (y-2)^2 + (x - 6)^2

16 = (y-2)^2 + (x - 6)^2

16 - (x - 6)^2 = (y-2)^2

Also:

2*dBM = dBC

2*√[(2-2)^2 + (6-10)^2] = √[(y-2)^2 + (x - 10)^2]

4*[(0)^2 + (-4)^2] = (y-2)^2 + (x - 10)^2

4*(16) = (y-2)^2 + (x - 10)^2

64 = (y-2)^2 + (x - 10)^2

64 = 16 - (x - 6)^2 + (x - 10)^2

48 = (x - 10)^2 - (x - 6)^2

48 = x^2 - 20*x + 100 - x^2 + 12*x - 36

48 = - 20*x + 100 + 12*x - 36

8*x = 16

x = 2

Thus:

16 - (x - 6)^2 = (y-2)^2

16 - (2 - 6)^2 = (y-2)^2

16 - (-4)^2 = (y-2)^2

16 - 16 = (y-2)^2

0 =  (y-2)^2

0 = y - 2

2 = y

⇒ C = (2,2)

Answer:

4-6

3.1+2.4

5-7

3.1+2.4+.75+.75

8-9

3.1+2.4+2.4+.75

add them to see which one is close that's i got my answer because i got it right

In 4-6 pounds, the blue and green book can be added., 5-7 pounds, the blue, green and red books can be added. and n 8-9 pounds, two green books, blue book and red book be added

Unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity.

We know that 1 pound = 1 lb.

In 4-6 pounds, the blue and green book can be added.

4-6

3.1+2.4

In 5-7 pounds, the blue, green and red books can be added.

3.1+2.4+.75+.75

In 8-9 pounds, two green books, blue book and red book be added.

3.1+2.4+2.4+.75

Hence, In 4-6 pounds, the blue and green book can be added., 5-7 pounds, the blue, green and red books can be added. and n 8-9 pounds, two green books, blue book and red book be added.

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Answer: x = 10

Step-by-step explanation:

Hi, to answer this question we have to apply proportions, since the sides are equivalent.

15/25

6/x

So, for equal ratios:

15/25 = 6/x

Solving for the missing side x:

x = 6 / (15/25)

x = 10

In conclusion, the correct option is D) 10

Feel free to ask for more if needed or if you did not understand something.  

Answer:

1

Step-by-step explanation:

The slope of the line (when in point-slope form) will be the coefficient of the term on the right side of the equation. In this case that is 1.

Answer:

1

Step-by-step explanation:

y - 3 = (x - 2)

Solve for y. Then when the equation is in the slope-intercept form, y = mx + b, m is the slope.

y - 3 = x - 2

Add 3 to both sides.

y = x + 1

Compare to y = mx + b: y = 1x + 1

m = 1

Answer: The slope is 1.

Answer:

I think the answer is undefined because the question above is an expression of f of x not a statement of variation which should have a constant of proportionality

Answer:

5.06

Step-by-step explanation:

1 2/3 = 1/3

x = 1                                         (cross multiply)

1/3 x = 1 2/3                             (divide both sides by 1/3)

x = 5.06

Sorry the final answer is in decimal. I think better in decimal.

Answer:

Gabe can wrap 5 presents in an hour.

Step-by-step explanation:

So, to find the answer all you have to do is just multiply how many presents he can wrap in 1/3 hours and multiply that by 3. That is then your answer.

Brainliest would be appreciated.

I hope that I was able to help you.

Answer:

9420 ft

Step-by-step explanation:

1500 revolutions = 1500 full rotations or 360 degrees

Circumference = 6.28 ft      ( 3.14 x 2 )

Then we take rotations by the circumference

1500 x 6.28 = 9420

MARK AS BRAINLIEST

Answer:

9420 ft  or  2.88 km

Step-by-step explanation:

d= 2 ft

1500 revs

C= πd= 3.14*2= 6.28 ft

distance= 1500*6.28= 9420 ft ≈ 2.88 km

Answer:

C

Step-by-step explanation:

You first distribute within the parentheses which is -(-z-2). This is going to make everything positive as everything in the parentheses is negative. You should get z+2. Next, you plug that back in. It should be-3z+z+2. You simplify to get -2z+2. Hope this helps!

Answer:

see below

Step-by-step explanation:

-3z -( -z -2)

The first step is to distribute the minus sign

-3z  --z  --2

A negative negative is a positive

-3z +z +2

Then combine the like terms

-3z+z   +2

Answer

-2z+2

Answer:

28 cm

Step-by-step explanation:

V=a³

a= ∛V= ∛21952 cm³ = 28 cm

Answer:

Step-by-step explanation:

28 is the answer because you have to find the cube root of the volume. This is because a cube has equal sides so it means that the sides have to be equal. When you find volume, you have to multiply the length, width, and height. So you have to find the cube root of 21952. The cube root is 28.

Hope this helped,

Kavitha

Answer:

8x -12

Step-by-step explanation:

Use the distributive property. 16 outside wishes to go inside and multiply each term; you get 16x/2 which is 8x minus ¾ of 16 which is 12.

Answer:

2x-3y

Step-by-step explanation:

To expand this expression, use the distributive property.

[tex]-\frac{1}{4}(-8x+12y)[/tex]

To distribute, multiply each term inside the parentheses by the number outside the parentheses.

[tex](-\frac{1}{4}*-8x)+(-\frac{1}{4} *12y)[/tex]

Multiply -1/4 and -8x first.

[tex]((-\frac{1}{4}*-8)x)+(-\frac{1}{4} *12y)[/tex]

[tex]2x+(-\frac{1}{4} *12y)[/tex]

Next, multiply -1/4 and 12y.

[tex]2x+ ((-\frac{1}{4} *12)y)[/tex]

[tex]2x+ -3y[/tex]

A +- becomes a -

[tex]2x-3y[/tex]

Answer:

The answer is explained below

Step-by-step explanation:

The question is not complete we need point P and point Q.

let us assume P is at (3,1) and Q is at (-2,4)

To find the coordinate of the point that divides a line segment PQ with point P at [tex](x_1,y_1)[/tex] and point Q at [tex](x_2,y_2)[/tex] in the proportion a:b, we use the formula:

[tex]x-coordinate:\\\frac{a}{a+b}(x_2-x_1)+x_1 \\\\While \ for\ y-coordinate:\\\frac{a}{a+b}(y_2-y_1)+y_1[/tex]

line segment PQ  is divided in the ratio 5:3 let us assume P is at (3,1) and Q is at (-2,4). Therefore:

[tex]x-coordinate:\\\frac{5}{5+3}(-2-3)+3 \\\\While \ for\ y-coordinate:\\\frac{5}{5+3}(4-1)+1[/tex]

Answer:

-12.6

Step-by-step explanation:

OK so I might have done something wrong but just remember when you're adding a negative and and a positive number you're technically just subtracting

Answer:

Step-by-step explanation:

B

Answer:

1. not possible, 2. a. 65 b. 115  c.115

Step-by-step explanation:

def. sup. <

vertical angles post.

corresponding angles thm.

Answer:

Step-by-step explanation:

(a)  27 degrees:  complementary angle is (90 - 27) degrees, or 63 degrees; recall that complementary angles add up to 90 degrees.  

(b)  Since supplementary angles add up to 180 degrees, we subtract 105 degrees from 180 degrees, obtaining the supplementary angle 75 degrees.  There's no complementary angle here, because 105 degrees is greater than 90 degrees.

(c) complementary angle is (90 - 18) degrees, or 72 degrees; supplementary angle is (180 - 18) degrees, or 162 degrees.

Answer:

Yes, it passes the vertical line test

Step-by-step explanation:

This graph has a one to one correspondence and will pass the vertical line test, there fore it is a function

Answer:

solution,

A(0,0)---->(X1,y1)

B(6,3)---->(x2,y2)

Now,

[tex]ab = \sqrt{ {(x2 - x1)}^{2} + (y2 - y1) ^{2} } \\ \: \: \: = \sqrt{ {(6 - 0)}^{2} + {(3 - 0)}^{2} } \\ \: \: \: = \sqrt{ {(6)}^{2} + {(3)}^{2} } \\ \: \: \: \: = \sqrt{36 + 9} \\ \: \: \: \: = \sqrt{45} \\ \: \: \: = 3 \sqrt{5 } \: units[/tex]

Hope this helps...

Good luck on your assignment..

Answer:

If you're not an art club member and you want to request the art class, you have a greater chance of getting into our class. There isn't an equal opportunity for all students to get into the art class they requested, therefore the class assignment is unfair.

As a non-art club member, you have a 79% chance of being assigned to the art class they request.

As an art club member, you have a 61% chance of being assigned to the art class they request.

Step-by-step explanation:

265, divided 335, that's 79%. So this means that if you are not in the art club and you wish to enroll in an art class, you have 79% of percent of being admitted in your request in art class.

Total not in art club 335/ Total students 500= 0.791= 0.79%

Art class and in art club 100/ Total in art club 165= 0.606 = 0.61%

Non art club requested 79% against art club requested 61%.