andy has 901 cards for a big game if he gives away 789 how much does he have left

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[tex](9x + 17) +2 \times ( 5x + 15 ) + (6x - 12) = 360 \\ [/tex]

[tex]9x + 17 + 10x + 30 + 6x - 12 = 360 \\ [/tex]

[tex]9x + 10x + 6x + 17 + 30 - 12 = 360 \\ [/tex]

Collect like terms

[tex]25x + 35 = 360[/tex]

Subtract sides 35

[tex]25x + 35 - 35 = 360 - 35[/tex]

[tex]25x = 325[/tex]

Divide sides by 25

[tex] \frac{25x}{25} = \frac{325}{25} \\ [/tex]

[tex]x = 13[/tex]

Thus ;

[tex]RQ \: \: arc =2 \times (5x + 15)[/tex]

[tex]RQ \: \: arc = 10x + 30[/tex]

[tex]RQ \: \: arc = 10(13) + 30[/tex]

[tex]RQ \: \: arc = 130 + 30[/tex]

[tex]RQ \: \: arc = 160°[/tex]

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I'm assuming the base salary of this employee is $25.00

25.00+2%

Convert the percent into a decimal.

0.02

Now multiply.

25.00x0.02=0.5

Now add to the base salary.

25.00+0.50=$25.50

The 2% increase was $0.50

The total is $25.50

nya

Answer: B. 3/6

Step-by-step explanation:

The ratio is how much of it is it. So if there’s 3 red marbles, and 6 blue, you put it so if the ratio is red to blue you’d put 3/6 let’s say it was blue to red, then you’d put 6/3.

Answer: 0.75 cups of flour to 1 cup of sugar.

Step-by-step explanation:

From the question, we are informed that a recipe calls for 3 cups of flour to 4 cups of sugar and told to calculate the unit rate.

It simply means what we need to calculate much of flour to one cup of sugar. This will be:

= 3/4 = 0.75

Therefore, the unit rate will be:

0.75 cups of flour to 1 cup of sugar.

Answer:

105 girls

Step-by-step explanation:

girls : boys

7 : 4

Let total number of people in art be (7 + 4)x.

4x = 60

x = 15

no. of girls = 7x = 7 x 15 = 105

This is a question on ratios and proportions. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)

Answer:

a.  For the first lake;

c = (m·t - 0.005·m·t²)/100000

For the second tank, we have;

c = m·t/200 - m·t²/80000

b. t ≈ 1.00505 hours

c. 200 hours

Step-by-step explanation:

The flow rate of water in and out of the lakes = 500 liters/hour

The volume of water in the first lake = 100 thousand liters

The volume of water in the second lake = 200 thousand liters

The mass of toxic substances that entered into the first lake =  500 kg

The concentration of toxic substance in the first lake = m₁/(100000)

Therefore, we have;

The quantity of fresh water supplied at t hours = 500 × t

The change

The change in the mass of the toxic substance with time is given as follows

dm/dt = (m - m/100000 × 500 × t)/100000

c = (m·t - 0.005·m·t²)/100000

For the second tank, we have;

c = m/100000 × 500 × t - (m/100000 × 500 × t)/200000 × 500 × t

Using an online tool, we have;

c = m·t/200 - m·t²/80000

b. When c < 0.001 kg per liter, we have m < 0.001 × 100000, which gives m < 100

Substituting gives;

0.001 = (100·t - 0.005·100·t²)/100000, solving with an online tool, gives;

t ≈ 1.00505 hours

c. For maximum concentration, we have;

c = m·t/200 - m·t²/80000

m/200000 = m·t/200 - m·t²/80000

1/200000 = t/200 - t²/80000

dc/dt = d(t/200 - t²/80000)/dt = 0

Solving with an online tool gives t = 200 hours

Answer:

The answer is A: 9/11

Answer:

<ABD is 73 ...work below

Step-by-step explanation:

5x + 18 + 4x +5 = 122

9x + 23 = 122

9x = 99

x = 11

no since we got x...

5(11) + 18

73

Answer:

Length = 15 and Width = 9

Step-by-step explanation:

5:3 = 135

make 5, 5x and 3, 3x so that would be 5x*3x = 135

when you times two x's that makes x²

making 15x² = 135

Divide 15 on both sides making 135 now 9

so x² = 9

with a squared x you used a square root

√9 = 3

so x is equal to 3

then put those into 5x, 5(3) and 3x, 3(3)

thus making 15 sq. ft and 9 sq. ft

Answer:

46 degrees

Step-by-step explanation:

Answer:

[tex]x = 46[/tex]

Step-by-step explanation:

First I identified that 2 of side lengths are the same, being 5. Then 88° is inbetween them, so I now know that both missing angles will be equal. This works with all triangles, if 2 sides equal the same then 2 angles will be equal.

So now we know a triangles angles always add up to be 180, so now we just subtract and divide.

[tex]180 - 88 = 92[/tex]

So now we know the sum of both missing angles so we can just divide the value in half because both angles are the same.

[tex]92 \div 2 = 46[/tex]

Now we know x=46°

The two different quantities to measure which school has higher academic performance are:

The parameters which could be used to measure academic achievement are the graduation rate of each school he SAT average of each school.

Therefore, defining the quantity to measure academic achievement relative to budget per student could be expressed as the graduation rate divided by the budget per student. It can also be the SAT average divided by the Budget per student.

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Answer:

SAT average/budget per student and graduation rate/budget per student----No, the definitions have opposite results

Step-by-step explanation:

khan

The answer would be John is 18 years old

Answer:

The measure of the arc RQ is 160°

Step-by-step explanation:

Let us use these rules to solve the question

In the given figure

∵ ∠RPQ is an inscribed angle subtended by arc RQ

∴ m of arc RQ = 2 × m∠RPQ

∴ m∠RPQ = 5x + 15

∴ m of arc RQ = 2 × (5x + 15)

→ Multiply the bracket by 2

∴ m of arc RQ = 2(5x) + 2(15)

∴ m of arc RQ = 10x + 30

∵ The measure of the circle = 360°

∵ The sum of the measures of arcs RQ, QP, and PR equals the measure

   of the circle

∵ m of arc QP = 6x - 12

∵ m of arc PR = 9x + 17

→ Add them and equate the sum by 360°

∴ 10x + 30 + 6x - 12 + 9x + 17 = 360

→ Add the like terms in the left side

∵ (10x + 6x + 9x) + (30 - 12 + 17) = 360

∴ 25x + 35 = 360

→ Subtract 35 from both sides

∴ 25x = 325

→ Divide both sides by 25 to find x

∴ x = 13

→ To find the measure of arc RQ substitute x by 13 in its measure

∵ m of arc RQ = 10(13) + 30 = 130 + 30

∴ m of arc RQ = 160°

∴ The measure of the arc RQ is 160°

Answer:

i think it is 48 because  each gift bag will have the same number of each item,

so if each gift bag has 1 pencil, 1 marker, 1 sticker, we will have the greatest number of gift bags.

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

the greatest common factor of 48,80 and 64 is 16

Answer:

[tex]\boxed {\boxed {\sf Yes}}[/tex]

Step-by-step explanation:

According to the definition of a function, each input must have one output.

The input is x and the output is y. Basically, for every x there can only be one y.

The relation given is:

{ (1,2) , (2,4), (-3,-6), (0,0)}

To check if it's a function, make sure each x only appears once.

The x is the first number in a point.

We see that each x (1,2,-3,0) is only listed once, so this must be a function.

Another way to check is by graphing the points and using the Vertical Line Test.

If a vertical line is drawn and crosses the function more than once at any given part of the line, it isn't a function.

The points pass the vertical line test, so this is a function.

Answer:

I cannot see what the titles in the chart say, so cannot help.

Step-by-step explanation:

Let’s say the chart says this:

Total        |           Bob          |         George

5 dics               2 dics.                      3 Discs

Unless they give you a total number, and an expression, you cannot solve for x.

Answer:

C

Step-by-step explanation:

given:

m= -2 and (3, -1)

point-slope form: y-y1= m(x-x1)

y - (-1) = -2(x-3)

y + 1 = -2(x-3)

Answer:

C.

Step-by-step explanation:

A.) y - 1 = -2(x - 3)

y - 1 = -2x + 6

y = -2x + 6 + 1

y = -2x + 7

B.) y - 1 = -2(x + 3)

y - 1 = -2x - 6

y = -2x - 6 + 1

y = -2x - 5

C.) y + 1 = -2(x - 3)

y + 1 = -2x + 6

y = -2x + 6 - 1

y = -2x + 5

D.) y + 1 = -2(x + 3)

y + 1 = -2x - 6

y = -2x - 6 - 1

y = -2x - 7

Answer (see photo below):

I hope this helps!

Answer:

Step-by-step explanation:

First, we find the formula. Since we have a slope and only one point we can use the Slope Form, which is "y - y1 = m(x - x1)". Now to find The Slope Intercept Form.

Formula = y - y1 = m(x - x1)

Slope = 3/4 or 0.75

Point = (2,-3)

y - y1 = m(x - x1)

y - (-3) = 3/4(x - 2)

y + 3 = 3/4x - 1.5

y = 3/4x - 1.5 - 3

y = 3/4x - 4.5

Graph is shown below.

------------------------

                          |

                         V

Step-by-step explanation:

midpoint of AC=(x¹+x²/2,y¹+y²/2)

=(-12+6/2,-8+14/2)

=(-6/2, 6/2)

=(-3,3)

Answer:

it looks to be the second answer

Step-by-step explanation:

Answer:

The mass of sunflower seeds in the mixture is 1-pound

The mass of chocolate-covered peanuts in the mixture is 3-pounds

The mass of raisins in the mixture is 2-pounds

Step-by-step explanation:

The given parameters are;

The cost per pound of raisins = $3

The cost per pound of sunflower seeds = $1

The cost per pound of chocolate-covered peanuts = $1.50

The mass of raisings in the mixture = 2 × The mass of sunflower seeds in the mixture

The total cost of the mixture = $11.50

The mass of the mixture = 6-pounds

Let x represent the mass of sunflower seeds in the mixture, and y represents the mass of chocolate-covered peanuts in the mixture, we have;

The mass of raisins in the mixture = 2 × x

The system of equation are;

2·x + x + y = 6...(1)

2·x × 3 + x × 1 + y × 1.5 = 11.50...(2)

Simplifying the above two equations give;

For equation (1), we have;

3·x + y = 6...(1)

For equation (2), we have;

7·x + 1.5·y = 11.50...(2)

Making y the subject of both formulas, gives;

For equation (1), we have;

y = 6 - 3·x

For equation (2), we have;

y = 11.50/1.5 - 7/1.5·x

Equating both equations of y, to find the common solution as follows;

6 - 3·x = 11.50/1.5 - 7/1.5·x

7/1.5·x  - 3·x = 11.50/1.5 - 6

14/3·x  - 3·x = 23/3 - 6

5/3·x = 5/3

x = 3/5 × 5/3 = 1

x = 1

The mass of sunflower seeds in the mixture = x = 1-pound

y = 6 - 3·x =  6 - 3 × 1 = 3

y = 3

-The mass of chocolate-covered peanuts in the mixture = y = 3-pounds

The mass of raisins in the mixture = 2 × x = 2 × 1 = 2-pounds.

Answer:

0.01

Step-by-step explanation:

A fraction is a way to describe a part of a whole. 0.001 is 1/10 the value of 0.01.

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.

Let the value be represented by x.

x × 1/10 = 0.001

x = 0.001 × 10

x = 0.01

Hence, 0.001 is 1/10 the value of 0.01.

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Answer:

Step-by-step explanation:

you can't get the answer if you don't know x

Answer:

as the density of the plastic ball is greater than the density of the gasoline it sinks

Step-by-step explanation:

D = 15.8 / 19.7

D = 0.80 g / c ^ 3

0.8> (0.66-0.69)

The density of the plastic ball is greater than the density of gasoline, the ball would sink in a container of gasoline.

Given that a plastic ball with a volume of 19.7 cm³ has a mass of 15.8 g.

We need to check if the ball sink or float in a container of gasoline if the density of gasoline is 0.69 g/cm³.

To determine whether the plastic ball would sink or float in a container of gasoline, we need to compare the density of the ball with the density of gasoline.

Density is defined as the mass of an object divided by its volume. In this case, the density of the plastic ball can be calculated as:

Density of ball = Mass of ball / Volume of ball

Given that the mass of the ball is 15.8 g and the volume is 19.7 cm³, we can calculate the density of the ball:

Density of ball = 15.8 g / 19.7 cm³

Density of ball ≈ 0.8 g/cm³

Now, we can compare the density of the ball with the density of gasoline, which is stated to be between 0.66 g/cm³ and 0.69 g/cm³.

Since the density of the ball (0.8 g/cm³) is greater than the density range of gasoline (0.66-0.69 g/cm³), the ball would sink in a container of gasoline.

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Answer:

The first equation

Step-by-step explanation:

Answer:

150

Step-by-step explanation:

75 percent *200 =

(75:100)*200 =

(75*200):100 =

15000:100 = 150

Now we have: 75 percent of 200 = 150

Question: What is 75 percent of 200?

Percentage solution with steps:

Step 1: Our output value is 200.

Step 2: We represent the unknown value with x.

Step 3: From step 1 above,200=100%

Step 4: Similarly, x=75%​.

Step 5: This results in a pair of simple equations:

$200=100%(1)​.

x=75%(2)​.

Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both

equations have the same unit (%); we have

200/x ​= 100% / 75%​​

Step 7: Again, the reciprocal of both sides gives

x/200 ​= 75/100​​

Therefore, 75% of 200​ is 150

Answer:

$16.00 * (100% + 8%) =  $17.28

Answer:

5+6=11

So,the probability to get 11 is 5+6

Step-by-step explanation:

Answer:

5 + 6 = 11

Step-by-step explanation:

a dice contains 6 numbers

1, 2, 3, 4, 5 and 6

Peter rolls 2 fair dice and adds the results from each.

So, 5 + 6 = 11

in fraction = 2/11

-TheUnknownScientist

Answer:

D

Step-by-step explanation:

Answer:

8/3

Step-by-step explanation:

[tex](-2)^{3}[/tex]÷(-3)

Remember the order of operations,

1. parenthesis

2.exponenets

3. multiplication/ division

4. addition/ subtraction

[tex](-2)^{3}[/tex]÷(-3)

= -8 / -3

= 8/3

Answer: n greater than or equal to 96 or n is greater than or less than 318

Step-by-step explanation:

Brainliest plz