at a recent school event the booster club was selling school flags and t-shirts as a fundraiser each school flag was sold for $2 and each t-shirt sold for $5 they sold a total of 220 items and made a total of $695 how many of each type did they sell

Write a system of linear equations to model this situation

Answer:

8/x

Step-by-step explanation:

Quotient means to divide the two numbers, in this case 8 and x.

Answer: The slope is $70

Step-by-step explanation: Slope is rate of change, so define your values.

-$100 is the initial fee

-$70 is charged per month

per month is the constant rate of change

70 is the slope

hope this helps

If we want the two ratios to be equivalent, then we need to use x = 15 and y = 33.

Let's say that we have a simple ratio between two amounts, it is A:B

If we multiply both of these amounts by the same scalar, k, we will get:

k*A and k*B

And the ratio between the new amounts k*A: k*B is equivalent to the first ratio, A:B

So we will use this to solve the problem, here we have two ratios:

5:2:11 = x:6:y

Note that in the first ratio the first value is 2, and in the second case it is 6 so let's find the value of k such that:

2*k = 6

k = 6/2 = 3

Then if we multiply the correspondent values in the first ratio by 3, we will get:

x = 5*3 = 15

y = 11*3 = 33

Then we can see that the ratios:

5:2:11 and 15:6:33 are equivalent.

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[tex] x + 5 = 12 \\ x = 12 - 5 \\ x = 7[/tex]

she brought 7 bananas

Answer:

1/16

Step-by-step explanation:

you have a 1/2 chance to get the answer right. Each time you add a new answer, you multiply the current chance by the chance of getting the new answer correct. So, the chance of getting 4 answers correct is 1/2^4, or 1/16

The lenght of the side b is 5 units

According to the given information the triangle is an right angled triangle with sides a,b, c where a and b are the two legs of the triangle and c is the hypotenuse the measurments of the side a and c are given 12 and 13 respectively . For finding the value of  b we need to use pythagoras theorem that is (Hypotenuse)² = (base)² + (height)²

Here we are going to use the same theorem for finding the value of the side b

According to the question:

hypotenuse = c = 13 units

height = a = 12 units

base = b = ?

As per  the theorem : hypotenuse ² = base ² + height²

∴ (13)² = b² + (12)²

=> 169 = b² + 144

=> b² = 169 - 144

=> b² = 25

=>b = √√25 = ±5

b = 5 [∵ lenght cannot be negative ]

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Answer:

Step-by-step explanation:

1.63 meters = 163 centimeters. Formula

Assuming an hypergeometric distribution, the probability that both are red is equal to 33.99%

In an hypergeometric distribution, these three (3) conditions listed below must hold:

In Mathematics, probability from an hypergeometric distribution can be calculated by using this formula:

[tex]p(X = x) = \frac{^MC_x \;^{N-M}C_{n-x}}{^NC_n}[/tex]

N = 12 + 31 = 43

n = 2

M = 12

N - M = 43 - 12 = 31

Substituting the parameters into the formula, we have;

P (X = 2) = (¹²C₂ × ³¹C₂)/⁴³C₂

P (X = 2) = 30,690/903

P (X = 2) = 33.99%

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Answer:     a=8

Step-by-step explanation:

[tex]{\huge\color{green}{\boxed{\fcolorbox{red}{yellow}{꧁ANSWER꧂}}}} \\ \\ 21a + 32 = 25a \\ \\ - 4a = - 32 \\ \\ 4a = 32 \\ \\ a = \frac{32}{4} = 8[/tex]

Tristan's forecast for income next year is $3,876.

The forecast income can be determined using the mathematical operation of multiplication.

First, the total number of hours worked next year is determined as 204.  This is a product of 17 weeks and a 12-hour week.

Lastly, the above product multiplies the hourly pay rate at $9.50 by two semesters, to determine the expected income for next year.

The average hours of work by Tristan per week = 12 hours

Hourly pay rate = $9.50

The total number of weeks to work = 17 weeks

The total number of hours to be worked = 204 hours (17 x 12)

Expected earnings for each semester = $1,938 ($9.50 x 204)

Expected earnings for two semester = $3,876 ($1,938 x 2)

Thus, Tristan should expect to earn $3,876 for next year.

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Division is a simple operation in which a number is divided.  1.168 ÷ 8= 0.146, 2.246÷12= 0.1871, 3.4328÷4=0.8582, 4.729÷9=0.5254 and 5.8415÷5​​​​=1.168.

Division is a simple operation in which a number is divided.

Division lets us separate a number of objects into equal-size groups.

Division has 3 important parts dividend, divisor, remainder and quotient.

1.168 ÷ 8= 0.146

(Because 0.146*8=1.168)

2.246÷12= 0.1871

(Because 12*0.1871=2.246)

3.4328÷4=0.8582

(Because 4*0.8582=3.4328)

4.729÷9=0.5254

(Because 9*0.5254=4.729)

5.8415÷5​​​​=1.168.

(Because 5*1.168=5.8415)

Therefore 1.168 ÷ 8= 0.146, 2.246÷12= 0.1871, 3.4328÷4=0.8582, 4.729÷9=0.5254 and 5.8415÷5​​​​=1.168.

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Check the picture below.

yes, it doesn't have all whole numbers, is a so-called piece-wise function, whose behaviour can radically change per interval, notice the arrowheads, meaning the function continues indefinitely all the way up to ∞.

Ths meaning of the slope based on the information is that the model predicts that cereals will have approximately 26 more milligrams of potassium for every additional gram of fiber.

It should be noted that the analysis of the amount of fiber (in grams) and the potassium content(in milligrams) in servings of 77 breakfast cereals produced the regression model.

The model used was:

Potassium = 35 + 26 Fiber

Therefore, the meaning of the slope based on the information is that the model predicts that cereals will have approximately 26 more milligrams of potassium for every additional gram of fiber.

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Answer: 6

Step-by-step explanation:

Ball will be at 10 feet above the ground for 2.14 or 0.29 seconds .

We have given a formula h = 39t - 16t² .     ....(2)

Putting h = 10 in equation (2) , we get

        [tex]10=39t-16t^2\\16t^2-39t+10=0[/tex]

Using quadratic formula in equation (1) , we get

 a = 16 , b = -39 , c = 10

     [tex]t=\frac{-(-39) \pm\sqrt{(-39)^2-4(16)(10) }}{2(16)} \\\\t=\frac{39 \pm\sqrt{1521-640 }}{32} \\\\t=\frac{39 \pm\sqrt{881 }}{32} \\\\t=\frac{39 \pm29.68}{32} \\[/tex]

t will have 2 values

[tex]t=\frac{39+29.68}{32} =2.14s[/tex]

and [tex]t=\frac{39-29.68}{32} =0.29s[/tex]

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Answer:

ok

Step-by-step explanation:

domain = (3,3)

range= (1,1)

funtion=discrete?

Based on the information provided, we have:

A function can be defined as a mathematical expression which is used to define and represent the relationship that exists between two or more variables. This ultimately implies that, a function is typically used for mapping an input variable to an output variable.

Given the following functions:

f(x) = 5x

g(x) = x - 3.

Next, we would determine the value of composite function f(g(x)) as follows:

f(g(x)) = f(x - 3)

f(g(x)) = 5(x - 3)

f(g(x)) = 5x - 15.

Also, we would determine the value of composite function g(f(x)) as follows:

g(f(x)) = g(5x)

g(f(x)) = (5x) - 3

g(f(x)) = 5x - 3.

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Answer:

Hope This Helps

Step-by-step explanation:

S=450 + 30W

Plugging 14 into W, we get:  S= 450 +30(14)= $870.

Each given statement can be written as a conditional statement as follows:

19. If I go swimming, then my skin will get wet.

20. If a number is divisible by 6, then it is divisible by 3.

21. If it is a Tuesday, then the tickets are half-priced.

The phrase "if...then" is used to denote a conditional statement. If p and q are the two statements, then p and q can be written under several conditions, such as;

Given the statements:

p: My skin will get wet

q: if I go swimming

Here, q is necessary for p.

Hence, the condition statement is "If I go swimming, then my skin will get wet."

p: a number is divisible by 6

q: a number is divisible by 3

Here, p implies q.

Hence, the condition statement is "If a number is divisible by 6, then it is divisible by 3."

p: movie tickets are half-price

q: it is a Tuesday

Here, q is necessary for p.

Hence, the conditional statement is "If it is a Tuesday, then the tickets are half-priced."

Therefore, each given statement can be written as a conditional statement as follows:

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The scale rectangular of the pool must be 3 x 8 inches.

According to the question,

Given that,

a rectangular pool yard is 150 ft. × 400 ft,

create a scale drawing with a scale factor of 1 to 600, the following calculation must be followed :

[tex]\frac{150}{600} = \frac{1}{4} = 0.25[/tex]

[tex]\frac{400}{600} = \frac{2}{3} = 0.6667[/tex]

1 foot = 12 inches

12 x 0.25 = 3

12 x 0.666 = 8

Then, the scale drawing of the pool must be 3 x 8 inches.

we understand better with the help of some example

“If you are going to build a model, you have to use a scale. You shrink down the real dimensions so that you can actually build a model that everyone will be able to see, think about it, Everest is 29,035 feet high, you can’t build that using the real dimensions,

First, let’s think about our unit scale.

1 inch = 3 feet

If we have a building 24 feet long, that is the actual dimensions. We need to represent the dimensions using our unit scale.

We can say that 8 inches = 24 feet. This is our answer.

First, let’s make a note of the unit scale.

1 inch = 8 feet

We have been given the scale dimension and not the actual dimension. We are going to need to solve for the actual dimension. Let’s write a proportion to do this.

scale dimension actual dimension=1 in8 ft=5 inches

We can see that one times five is equal to five. We can do this to the actual dimension as well. Eight times five is equal to forty.

The actual length of the building is 40 feet.

Popular for ships, especially liners and capital ships. This is the traditional scale for comparative drawings of ships, used by the Royal Navy as it is about one-tenth of a nautical mile to the foot. Warship models produced by  produces airliner models in this scale.

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Answer:

301

Step-by-step explanation:

The amount of fuel left after t hours will be y = 10 - 2t. Then the amount of fuel left after 2 hours will be 6 gallons.

A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

Anand is traveling by car a long distance. He has 10 gallons of gas in his automobile right now. His automobile burns through 2 gallons of gas per hour while he is on the road.

Then the equation will be

y = 10 - 2t

Where t is the number of hours and y represents the fuel left in the tank.

The amount of fuel left after 2 hours will be

y = 10 - 2 x 2

y = 10 - 4

y = 6 gallon

The amount of fuel left after 2 hours will be 6 gallons.

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Answer:

Step-by-step explanation:

2 is 0.00007

3 is 0.000875

1 i cant answer because it hurts my dyslexia

The constant of proportionality is 190.

The ratio connecting two given numbers in what is known as a proportional relationship is the constant of proportionality.

To find proportionality constant we will find difference of weights of the baby whale after 2 days and at birth.

5710 - 5520 = 190

Now we will find difference of weights of the whale after 14 days and at birth.

We will divide the difference by 14.

(8180-5520) ÷ 14 = 190

Weights are rising at a consistent rate of 190 pounds every day, as can be seen. As a result, 190 is our proportionality constant.

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Given statement 'My bank raised its interest rate on savings accounts from 2% to 2.8%, which was a 40% increase.' is True.

The correct answer is an option (E) The statement is true. To determine how much a value increased by, the relative change should be computed. In this case, the relative change is 40%

In this question, we have been given a statement 'My bank raised its interest rate on savings accounts from 2% to 2.8%, which was a 40% increase.'

We need to check whether given statement is true or false.

The bank raised its interest rate on savings accounts from 2% to 2.8%

We find the percent increase.

Here the absolute increase is: |2.8 - 2| = 0.8

The relative increase is: absolute increase / original value

= 0.8 / 2

= 0.4

The percent increase is: relative increase × 100

= 0.4 × 100

= 40%

Therefore, given statement 'My bank raised its interest rate on savings accounts from 2% to 2.8%, which was a 40% increase.' is True.

The correct answer is an option (E) The statement is true. To determine how much a value increased by, the relative change should be computed. In this case, the relative change is 40%

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Answer:

A) B 20.5 -A s-2.5=-3 is (0.5x)-(-2.5x) = -3x

B) A and B = 2 skydiver's distance each from x = -2.5 and 0.5 inequality shows us when x = 0 then A < -2.5 The second inequality shows us when x = 0 then B2 0.5 here on number line we an keep closed circles and shaded lines in opposite direction each from O showing domain is x domain = -2.5 to O and x domain= 0 to 5 (using commas instead of to) The actual expression then goes B≥0.5-A≤ -2.5=-3 so we an just use (0.5x)-(-2.5x)=-3x

Answer:

C

Step-by-step explanation:

[tex]-(6^{-5})(6^3) \\ \\ =-6^{-5+3} \\ \\ =-6^{-2} \\ \\ =-\frac{1}{6^2} \\ \\ =\frac{1}{36}[/tex]

[tex] \bf \implies{f( - 4) \: = \: g( - 4) \: and \: f(0) = g(0)}[/tex]

We can observe from the given graph that the two functions intersect each other at (0,4) and (-4,4)

→ g(0) = f(0)

and g(-4) = f(-4)