refer to the image please!!

If a chemical company makes two brands of antifreeze. The first brand is 20% pure antifreeze, and the second brand is 95% pure antifreeze. The number of  gallons each brand of antifreeze must be used is: 56 gallons of 20% antifreeze and 84 gallons of 95% antifreeze.

Let call x = The amount of 20% pure antifreeze needed

Let  140 - x = amount of 95% antifreeze needed

Hence,

x gallons of 20% antifreeze + (140-x) gallons of 95% = 140 gallons of 65%

Thus,

.20x + .95(140-x) = .65(140)

.20x + 133 - .95x = 91

Collect like terms

42= .75x

Divide both side by .75x

x=42/.75

x=56

Hence,

56 gallons of 20% antifreeze

84 gallons of 95% antifreeze

Therefore the number of  gallons each brand of antifreeze must be used is: 56 gallons of 20% antifreeze and 84 gallons of 95% antifreeze.

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Answer:

true..... ............

The dimensions before tripling the radius of the cylinder are:

radius = 2 and height = 7 yd

and surface area = 113.1

The dimensions after tripling the radius of the cylinder are:

radius = 6 and height = 7 yd

surface area = 490.08

Given, we know that the dimensions are:

radius = 2 and height = 7 yd

therefore, surface area = 2πrh + 2πr²

= 2π2×7 + 2π(2)²

= 2×22/7×14 + 2π×4

= 88 + 25.12

= 113.1

After tripling the radius, we get:

radius = 6 and height = 7 yd

therefore, surface area = 2πrh + 2πr²

= 2π6×7 + 2π(6)²

= 2×22/7×42 + 2π×36

= 264 + 226.08

= 490.08

Hence we get the before and after dimensions of the cylinder.

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Answer:x= −12/15

Step-by-step explanation:

Answer:

f(-4) = 24

Step-by-step explanation:

In order to find f(-4), set the value of x as -4 in the equation.

Given equation:

f(x) = 3(4 - x)

Substitute x = -4:

f(-4) = 3(4 - (-4))

f(-4) = 3(4 + 4)

f(-4) = 3(8)

f(-4) = 24

The computation shows that the amount lost in a week is $49.

From the information, Red lost money on an investment at a rate of $7 per day.

It should be noted that there are 7 days in a week. Therefore, the amount lost will be:

= $7 × 7

= $49

The amount lost is $49.

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Answer:

okay. We need to find the probability that I've met a person is of age 45 to 64 given that they do not smoke. Okay, well, says we're interested in the second Age Group. Would Look, we need to look at this. The second row here of the table. Okay, Um, now, since they don't so so we can't quite look at just these products directly says we're given that they don't smoke instead of the fact that they do smoke. So instead of looking at instead of just using this product that I've circled in red, I need to I need to take this green circled number and subtracted. So? So when I mean, it's gree this green circle numbers subtracted. Red circle number. Okay. And what would that give us? That's work. That out on the calculator. So points reform minus 0.7 for eight. That's 0.2652 My brave Onda, who, instead of looking at the total of these products, you need to subtract one from it or two. Oh, Uh, 31 Asher B 0.7 se 7969 Okay, so then this Just 0.2652 over it. 0.79 69 Okay, so let's do that. We have. Let's work that out on a calculator. We get around 0.33 three. Thank you for watching.

Answer:

55°

Step-by-step explanation:

The angle that is represented with x and the exterior angle with a measure 125° are supplementary angles.

As known the sum of supplementary angles is 180 so the value of x:

180 - 125 = 55 and

x = 55 is the answer to the question.

Assuming supply and demand are linear, the equilibrium price is equal to $252 and the equilibrium quantity is equal to 2,016 items.

A linear function can be defined as a type of function whose equation is graphically represented by a straight line on the cartesian coordinate.

First of all, we would determine a linear function for both supply and demand by finding the slope using this formula as follows:

[tex]Slope,\;m = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope,\;m = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}[/tex]

Note: price (p) in dollars would be the output and quantity (q) would be the input.

For supply, the points include the following:

Slope, m = (330 - 180)/(2640 - 1440)

Slope, m = 150/1200

Slope, m = 1/8.

Next, we would find the y-intercept at (1,440, 180):

p = qm + c

180 = 1/8(1440) + c

180 = 180 + c

c = 0.

Therefore, the supply equation is p = q/8.

For demand, the points include the following:

Slope, m = (330 - 180)/(1,470 - 2,520)

Slope, m = 150/-1,050

Slope, m = -1/7.

Next, we would find the y-intercept at (2,520, 180):

p = qm + c

180 = -1/7(2,520) + c

180 = -360 + c

c = 180 + 360.

y-intercept, c = 540.

Therefore, the demand equation is p = -q/7 + 540.

In order to find the equilibrium price and quantity, we would set the supply equal to the demand:

q/8 = -q/7 + 540

Multiplying all through by 56, we have:

7q = -8q + 30,240

15q = 30,240

q = 30,240/15

Equilibrium quantity, q = 2,016 items.

For the equilibrium price, we have:

p = q/8

p = 2,016/8

Equilibrium price, p = $252.

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The final cost of the TV is $1966.9

The given parameters are:

Regular price = $2300

Discount = 21%

Sales tax = 8.25%

The final cost of the TV is calculated as

Final cost = Regular price * (1 - Discount) * (1 + Sales tax)

So, we have:

Final cost = $2300 * (1 - 21%) * (1 + 8.25%)

Evaluate

Final cost = $1966.9

Hence, the final cost of the TV is $1966.9

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Answer:

f(-4) = 24

Step-by-step explanation:

f(x) = 3(4-x)

( substitute )

f(-4) = 3 x ( 4- (-4))

( calculate )

f(-4)= 24

Answer: 4.64+2.92 =  7.55oz

Step-by-step explanation:

Answer:

person above me is right pls give them brainliest!!!

Step-by-step explanation:

Answer:

9.25 Meters

Step-by-step explanation:

a square has 4 sides so:

37 divided by 4= 9.25 or 9 1/4

Answer: step-by-step

Step-by-step explanation:

first one is paralell

second one is perpindicular

third one is neither

lmk if wrong, good luck!

The amount earned if they decreased the price by $0.20 will be $2400.

From the information, they found that for every $0.20 that the price is reduced, they can get 50 more customers.

The amount earned if they decreased the price by $0.20 will be:

= ($5 - $0.20) × (450 + 50)

= $4.80 × 500

= $2400

Therefore, the amount is $2400.

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The smallest amount of storage a memory disk is 3.8 GB. The correct option is C.

Subtraction is a mathematical operation that reflects the removal of things from a collection. The negative symbol represents subtraction.

Given that for a computer to work properly it needs a memory disk of at least 4 GB. Memory disks can fluctuate 0.2 GB. Therefore, the smallest amount of storage a memory disk has is,

Smallest amount of storage a memory disk have = 4 GB - 0.2 GB

                                                                                 = 3.8 GB

Hence, the smallest amount of storage a memory disk is 3.8 GB.

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1. The inequality that represents the graph is x ≥ 8

2. The inequality that represents the graph is x < 3

3. The inequality that represents the graph is x ≤ 3

4. x ≤ 8

5. x < 8

6. x ≥ 3

From the question, we are to determine the inequalities that represent the given graphs

1. The inequality that represents the graph is x ≥ 8

2. The inequality that represents the graph is x < 3

3. The inequality that represents the graph is x ≤ 3

4. "Shaun refuse to read for more than 8 minutes"

Let x represent the number of minute she reads

Thus,

x ≤ 8

5. "Jade says she has less than eight cats"

Let x represent the number of cats Jade has

∴ x < 8

6. "Davon runs at least 3 miles everyday after school"

Let the number of miles Devon runs be x

Then, we can write that

x ≥ 3

Hence,

1. The inequality that represents the graph is x ≥ 8

2. The inequality that represents the graph is x < 3

3. The inequality that represents the graph is x ≤ 3

4. x ≤ 8

5. x < 8

6. x ≥ 3

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The odd numbers do not follow the closure property of addition.

What is a closure property of addition?

The closure property of addition states that when any two numbers from the set of reals are added, the result will always be a real number. For example 2 + 3 = 5

Explanation

When we add any two natural numbers, the result is always a natural number, i.e. 2 + 1 = 3. Thus, it follows the closure property of addition.

When we add any two whole numbers, the result is always a whole number, i.e. 3 + 0 = 3. Thus, it follows the closure property of addition.

When we add any two integers, the result is always an integer, i.e. 2 + (-5) = -3. Thus, it follows the closure property of addition.

When we add any two odd numbers, the result is not an odd number, i.e. 3 + 1 = 4. Thus, it does not follow the closure property of addition.

Hence, the odd numbers do not follow the closure property of addition.

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Step-by-step explanation:

2*40=80

so, the smallest of 80 is 2

Step-by-step explanation:

question: find the smallest number by which 80 is multiplied to make a perfect square.

80 x 6 = 400

the square root of 400 = 20

therefore 6 is the smallest number that multiplies by 80 to give a perfect square.

Answer:

5.3 kilometers

Step-by-step explanation:

12.06 - 6.76 = 5.3

The line that is the perpendicular bisector of the segment is 12x - 2y= 13

The endpoints of the segment are

R(-1, 6) and S(5, 5)

Calculate the midpoint of the above segment using

RS = 1/2 * (x1 + x2, y1 + y2)

So, we have

RS = 1/2 * (-1 + 5, 6 + 5)

This gives

RS = (2, 5.5)

Calculate the slope of the segment using

Slope RS = (y1 - y2)/(x1 - x2)

So, we have

Slope RS = (5 - 6)/(5 + 1)

This gives

Slope RS = -1/6

The slopes of perpendicular lines are opposite reciprocal

This means that the slope of the perpendicular bisector is

m = -1/Slope RS

So, we have

m = -1(-1/6)

Evaluate

m = 6

The line that is the perpendicular bisector of the segment is calculated as

y = m(x - x1) + y1

Where

(x1, y1) = Midpoint RS = (2, 5.5)

So, we have

y = 6(x - 2) + 5.5

Evaluate

y = 6x - 12 + 5.5

y = 6x - 6.5

Multiply through by 2

2y = 12x - 13

Rewrite as

12x - 2y= 13

Hence, the line that is the perpendicular bisector of the segment is 12x - 2y= 13

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The final amount in Gigi's amount after two years is $637.102.

Compound interest is also known as interest on principal and interest is the practice of adding interest to the principal amount of a loan or deposit.

Gigi opened a savings account.

The principal amount she deposited, P = $600

The interest rate, r = 3% = ( 3 / 100 ) = 0.03

The formula for the compound interest is given as:

[tex]A=Pe^{rt}[/tex]

Where A is the final amount, P is the principal amount, r is the interest rate, and t is the time in years.

Then the amount in the account after t = 2 years will be:

[tex]A=Pe^{rt}\\A = 600 \times e^{(0.03 \times 2)}[/tex]

A = 600 × e⁰·⁰⁶

A = 600 × 1.06183654655

A = 637.101927927

A = $637.102

Therefore, the final amount in the account is $637.102.

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The output values of ​ ​h(​-8), ​h(1​), ​h(3​), and ​h(8​) in the given piecewise function are 16, 3, 11 and 16 respectively.

Given the piecewise function in the question;

                    -4x - 16, for x < -7

                     x + 8,   for x ≥ 3

Determine the output value of h(-8), -8 falls in the domain of x < 7,

Hence;

h(x) = -4x - 16

h(-8) = -4(-8) - 16

h(-8) = 32 - 16

h(-8) = 16

Determine the output value of h(1), 1 falls in the domain of -7 ≤ x < 3,

Hence;

h(x) = 3

h(1) = 3

Determine the output value of h(3), 3 falls in the domain of x ≥ 3,

Hence;

h(x) = x + 8

h(3) = 3 + 8

h(3) = 11

Determine the output value of h(8), 8 falls in the domain of x ≥ 3,

Hence;

h(x) = x + 8

h(8) = 8 + 8

h(8) = 16

Therefore the output values of ​ ​h(​-8), ​h(1​), ​h(3​), and ​h(8​) in the given piecewise function are 16, 3, 11 and 16 respectively.

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The number is -6/7 and the equation is x-7*x=x+6.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign. Equation, statement of equality between two expressions consisting of variables and/or numbers.

Given:

Let the number be x.

We have to find the number.

According to given question we have

If the product of a number and -7 is subtracted from the number the result is 6 more than a number

product of a number and -7 =-7*x

subtracted from the number=x-7*x

6 more than a number=x+6

i.e

x-7*x=x+6

compare the like terms we have,

x-7*x=x+6

Subtract x from both sides we get ,

-7x=6

x=-6/7

Therefore, the number is -6/7 and the equation is x-7*x=x+6.

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Answer: C.) 30

Step-by-step explanation: 40 gallons = 50% full Alice added 10 more gallons to make it 50% full there was already 30 gallons in.

The score of person 2 is 30.

A bar chart is a graph that shows the numerical values of variables represented by the height rectangles of equal width. In a bar graph, the rectangles must be of equal width and the space between each bars must be equal.

Total score of person 6 with the highest score possible : highest score x number of options

5 x 9 = 45

This means that on the bar chart, the value of person 6's rectangle is 45. This means that each the value of the graph increases by 5. This means that each line increases by the value of 5.

Score of person 2 = number of lines to the height of the bar x 5

6 x 5 = 30

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Answer:

0

Step-by-step explanation:

y intercept means that the x is 0, so we make the equation like this:

-2y = -5x
-2y = -5(0)

y = 0/-2

y = 0

Answer:

4.) T = M - N

T(-M) = M - N (-M)

(/-1) T - M = -N (/-1)

-T + M = N

6.) Ax + By = C

(-Ax) Ax + By = C (-Ax)

By = C - Ax

By (/B) = (C - Ax)/(B)

y= (C - Ax)/B

8.) C = pi(d)

(/pi) C = d

C/pi = d

The Total cost of 2 small and 3 large greeting cards is $16.65.

The Total cost of x small and y large greeting cards is $2.10x+$4.15y.

Given

Cost of the small greeting card =$2.10.

Cost of the large greeting card =$4.15.

We have to find the Total cost of 2 small and 3 large greeting cards and the total cost of x small and y large greeting cards.

First, we will find the Total cost of 2 small and 3 large greeting cards

Cost of 3 small greeting cards=2[tex]\times\\[/tex]2.10 =$4.2

Cost of 4 large greeting cards=3[tex]\times[/tex]4.15=$12.45

Total cost=$4.2+$12.45=$16.65

Therefore, the Total cost of 2 small and 3 large greeting cards is $16.65.

Now, the total cost of x small and y large greeting cards

Cost of x small greeting cards=x[tex]\times\\[/tex]2.10 =$2.10x

Cost of y large greeting cards=y[tex]\times[/tex]4.15=$4.15y

Total cost=$2.10x+$4.15y

Therefore, the Total cost of x small and y large greeting cards is $2.10x+$4.15y.

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Total cost, 2 small greeting cards and 3 large greeting cards: 16.65

Total cost, x small greeting cards and y large greeting cards: 2.10x+4.15y