What is the Value of a,b,c and d?

Answer:

See below.

Step-by-step explanation:

Let the price of drinks be x and the price of candies be y.

9x + 4y = 60 --------------------(1)

10x + 2y = 57.50 --------------(2)

2(10x + 2y) = 57.50*2

20x + 4y = 115 --------------(3)

9x + 4y - 20x - 4y = 60 - 115

9x - 20x = -55

-11x = -55

11x = 55

x = 55/11

Put x = 5 in Eq. (1)

9(5) + 4y = 60

45 + 4y = 60

4y = 60 - 45

4y = 15

y = 15/4

So, the cost of one drink is $5 and the cost of one candy is $3.75.

[tex]\rule[225]{225}{2}[/tex]

Answer:

Lol

Step-by-step explanation:

k

The converse statement is:

"If next month ends in the letter r, then this month is September."

And a counterexample of this is the month of September.

A conditional statement is of the form:

If P, then Q.

And a converse statement of the above one will be:

if Q, then P.

Here our conditional statement is:

"If this month is September, then next month ends in the letter r."

So we have:

P = this month is September.

Q = The next month ends in the letter r.

Replacing that in the converse statement formula we get:

"If next month ends in the letter r, then this month is September."

A counterexample is September, it ends with an r, and the month after it is not September.

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Answer:

If next month ends in the letter r, then this month is September. The converse is invalid; a counterexample is December.

Answer:

x-4<12 x<-4

-3x<12

-3x/-3=x

12/-3=-4

x-4+4=x

8+4=12

The number of months Ben can be a member of the fitness club is 7 months .

In the question ,

it is given that Ben wants to join a fitness club ,

initial membership fees for fitness club is = $49.50

monthly fees for fitness club = $17.50

let the number of months be [tex]=[/tex] x

the total fees that Ben paid = $172

So ,according to the question

the equation to represent the situation is  

49.50 + 17.50x = 172

17.50x = 172 - 49.50

17.50x = 122.5

x = 122.5/17.50

x = 7

Therefore , Ben can be a member of fitness club for 7 months .

The given question is incomplete , the complete question is

Ben wants to join a fitness club. The fitness club charges an initial membership fee of $49.50 and a monthly fee of $17.50 , Ben has $172 to spend on a membership at the fitness club . what is the number of months ben can be a member of the fitness club ?

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Answer:34?

Step-by-step explanation: not too sure but yeah

The equation of the parabola with the vertex (3,5) in the form of f(x)=a(x-h)^2+k is f(x)=7(x-3)^2+5.

In the given question we have to find the equation of parabola in the form of f(x)=a(x-h)^2+k

The given function is f(x)=7x^2.

The given vertex = (3,5)

The equation of the parabola with the vertex of (h,k) is

y=a(x-h)^2+k

On comparing we get; a=7, h=3, k=5

Now putting the value

f(x)=7(x-3)^2+5

Hence, the equation of the parabola with the vertex (3,5) in the form of f(x)=a(x-h)^2+k is f(x)=7(x-3)^2+5.

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There are 2 common factors of 9 and 24, that are 1 and 3. Therefore, the greatest common factor of 9 and 24 is 3.

In mathematics, the greatest common divisor of two or more nonzero integers is the largest positive integer that divides each integer

. The greatest common divisor (GCF) of a set of numbers is the greatest factor of division of all numbers.

GCF by listing factor method :-

Factors of 9: 1, 3, 9

Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24

There are 2 common factors of 9 and 24, that are 1 and 3. Therefore, the greatest common factor of 9 and 24 is 3.

other two methods are attached below .

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The length of the area is 8 feet.

What is the shape of outdoor space?

Step-by-step explanation:

Given :

Distance between the furthest corners(Length)= 4 feet

Width(breadth) = 2 feet

Area of rectangle = Length * Breadth

                              = 4 * 2

                              =8 feet

Hence, The length of the area is 8 feet.

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The value of p that is statistically significant at a 5% level of significance refers to a p-value of 0.05 or less.

The fixed probability of incorrectly eliminating the null hypothesis when it is actually true is what is meant by the term "level of significance." The probability of type I error is defined as the degree of significance, which is decided by the researcher using the results of the error. The statistical significance is measured by the level of significance. It specifies whether or not the null hypothesis is thought to be true. The null hypothesis is anticipated to be shown as untrue or rejected if the result is statistically significant.

The symbol indicates the degree of significance (alpha). Therefore, the following definition applies to the level of significance:

Level of Significance = p (type I error) =

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The value for the number of red lights that Alice encounters are found.

X = no of red lights crossed by Alice.

X is Binomial distributed

In which  n=4, p=0.5, q = 0.5

Mean value is found by the formula,

Mean = np

Mean = 4×0.5

Mean = 2

And, variance = npq

Var = np(1-p)

Var = 4×0.5×0.5

Var = 1

PMF = ⁿCˣ0.5ˣ × 0.5 ⁽⁴⁻ˣ⁾

Thus, the value for  pmf, the mean, and the variance of the number of red lights that Alice encounters are found.

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The final answer of the given quadratic equation is 2x - 3y + 7= 0.

What is the quadratic equation?

Any equation in algebra that can be written in standard form as where x is an unknown and a, b, and c denote known numbers, where a 0 is a quadratic equation.

We have,

                 2x = 3y - 7

Converting the given equation in the form of ax + by + c = 0, we get

                 2x - 3y + 7= 0

Hence, the final answer of the quadratic equation is 2x - 3y + 7= 0.

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The joint relative frequency is 23%. So option (1) is correct.

Joint relative frequency is defined as the ratio of a frequency that is not in the total row or column to the total number of values or observations. The marginal frequency in a two-way frequency table is the entry in the "total" for the column and the "total" for the row.

Given data:

                         Traditional     Online       Row totals

Computer:             28                62               90

Mobile device:       46                64              110

Column totals:       74               126             200

The joint relative frequency can be found by the formula:

= (Number of students using a mobile device in traditional class / Total Number of students) x 100%

Number of students using mobile devices in traditional class = 46

Total number of students = 200

= (46 / 200) x 100%

= 0.23 x 100%

= 23 %

Therefore the joint relative frequency of students in traditional classes using a mobile device is 23%.

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Answer:

-3.2

Step-by-step explanation:

-5(x+1)-9=2

first simplify by distributiom

-5(x)-5(1)-9=2

simplify the multiplication

-5x-5-9=2

add the numbers

-5x-14=2

now to get x by itself on one side we undo in reverse order and move the -14 over to the other side so add 14 to both sides to cancel the -14

-5x=2+14

simplify

-5x=16

now divide both sides by -5 to get x by itself

-5x/-5=16/-5

simplify

x=-3.2 or as a fraction, [tex]-\frac{16}{5}[/tex]

Answer:

-2

Step-by-step explanation:

2(2)*3-14

4*3-14

12-14

-2

The measurement of a quantity requires units to be defined. The 6 ounce of raisins is equal to 171100 milligrams of it.

A measurement unit is unit to measure different quantities such as mass, length and time.

The measurement unit of one quantity can be converted into the other by multiplying it with a certain number.

Given that,

The amount of raisins is 6 ounces.

Since One ounce is equal to 23.85 grams,

6 ounce converted in grams equals 6 × 28.35 = 171. 10 grams

Now, 1 gram = 1000 milligrams.

Therefore, 171. 10 grams = 171.10 × 1000 milligrams

                                         = 171100 milligrams.

Hence, 6 ounces of raisins is equivalent to 171100 milligrams.

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Answer:

A recipe calls for 170,100 milligrams of raisins.

Step-by-step explanation:

I took the exam and got it right

Reason:

The digit in the tens place is 1. Just to the right is 5, which tells us to bump the 15 up to 20.

We can say that 15.0872 is closer to 20, than it is to 10.

Be sure not to mix up "tens place" with "tenths place".

The round-off from the number 15.0782 to the nearest 10 will be 20.

When a number is rounded off, its value is maintained but is brought closer to the next number, simplifying the number. For entire numbers as well as decimals at different places of hundreds, tens, tenths, etc., it is done.

A number can be rounded off to its lower value if the number after the decimal is between 0 and 4. The number will be rounded off to its higher value if the number after it is between 5 and 9.

Given that the number is 15.0782. The round-off to the nearest 10 will be 20 for the number.

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Using the concepts of statistics, we got that 2004 is the sample size needed to estimate the true proportion of children under age 6 living in poverty in Massachusetts within 2% with 99% confidence.

The number of observations used to calculate estimates for the certain population is known as the sample size. The sample size was actually determined by drawing from the population. Sampling is a practice of choosing a portion of a population from which to draw conclusions about the characteristics of a entire population. A subset of the population is chosen for analysis based on the number of entities in it.

We have  Margin of error(E)=0.02,

Significance level([tex]\alpha[/tex])=0.01

Proportion(p)=0.13

Therefore, q is defined by =1-p

                =>  q =1-0.13

                =>q=0.87

So, the Z-score is 2.582

Now, we know that sample size(S) is given by

                =>S =[ [ [Z²×p×(1-p)] / e²] / [1+(Z²×p×(1-p)/e²)] ]

               =>S=[ [ ( 2.582)²×0.13×0.87/(0.02)²] / [1 + [(2.582)²×0.13×0.87] / (0.02)²]

               =>S= ([0.754/0.0004] / [1+(0.754/0.0004)])×1000

               =>S=([885.01] / [1+1885.01]) × 1000

                =>S=(0.200351)×1000

                =>S=2003.51=2004 (approx)

Hence, a federal report indicated that 13% of children under age 6 live in poverty in Massachusetts, an increase over previous years in that case size of  sample which is needed to estimate the true proportion of children under age 6 living in poverty in Massachusetts within 2% with 99% confidence is 2004.

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a) product of function f(x) and g(x) is 2x² - 6x - 8 and b) product of function that is in part a and an (x) is 2x³ - 4x² - 14x - 8.

Here are the three functions given:

f(x) = x -4

g(x) = 2x + 2

c(x) = x + 1

a) The product of function f(x) and g(x)

f(x). g(x) = (x -4). ( 2x + 2)

= x( 2x + 2) - 4(2x + 2)

= 2x² + 2x - 8x - 8

= 2x² - 6x -8

b) product of function f(x). g(x) and a(x)

f(x). g(x) . a(x) =( 2x² - 6x - 8 ). ( x + 1)

= x( 2x² - 6x - 8) + 1(2x² -6x - 8)

= 2x³ - 6x² -8x + 2x² - 6x -8

= 2x³ -4x² - 14x - 8

Therefore we get a) 2x² - 6x - 8 and b) 2x³ - 4x² - 14x -8.

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Answer: The answer is Fact Family

Step-by-step explanation:

The required equation for height H of the plant t months after Angel bought the plant is,

H = 15 + 3t

What is an equation?

An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated.

t = time in months

H = total height

H= initial height+ rate of growth * time

H = 15 + 3t

So, the required equation for height H of the plant t months after Angel bought the plant is,

H = 15 + 3t

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Answer:

see explanation

Step-by-step explanation:

- 1, 2, 5, 8

(a)

the common difference

d = a₂ - a₁ = 2 - (- 1) = 2 + 1 = 3

(b)

to find a term in the sequence add d = 3 to the previous term

a₅ = = 8 + 3 = 11

a₆ = 11 + 3 = 14

a₇ = 14 + 3 = 17

a₈ = 17 + 3 = 20

(c)

the recursive rule is

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] + 3 : a₁ = - 1

(d)

the explicit rule for an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

here a₁ = - 1 and d = 3 , then

[tex]a_{n}[/tex] = - 1 + 3(n - 1) = - 1 + 3n - 3 = 3n - 4

Answer:

24

Step-by-step explanation:

2(x-3)

2(15-3)

2(12)

24

Hopes this helps please mark brainliest

Answer:

24

Step-by-step explanation:

2(x - 3)

==> plug in x = 15

2(15 - 3)

==> subtract 3 from 15

2(12)

==> multiply 2 and 12

=24

Remember we evaluate using pemdas

Parenthesis

Exponents

Multiplication and Division (going left to right)

Addition and Subtraction (going left to right)

This is the order of operations we use to determine which operation we perform. Here we first used "parenthesis" and did all operations inside of the parenthesis. We then ended with multiplication

To make 21 gallons of 3% disinfectant solution, 7 gallons of 5% solution are used, and 14 gallons of 2% solution are used.

21 gallons of the 3% solution is required.

Therefore, the amount of disinfectant in the solution

= 3/100  X  21 gallons

= 0.63 gallons

Let the amount of 5% disinfectant solution used be x

Therefore,

the amount of 2% disinfectant solution used is (21 - x)

Now, the amount of disinfectant added through these solutions must be equal to the amount of disinfectant in the solution.

Hence,

5/100 X x  +  2/100 X (21 - x) =  0.63

or, 5x/100 + (42 - 2x) / 100 = 0.63

or, 0.05x + 0.42 - 0.02x = 0.63

or, 0.03x = 0.63 - 0.42

or, 0.03x = 0.21

or, x = 0.21 / 0.03

or, x = 7

Therefore 21 - x = 14

Hence 7 gallons of 5% solution is used and 14 gallons of 2% solution is used.

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The transformation that occurs from the graph (y = x²) to the graph of [y = (x − 5)² + 7] is (D) a vertical shift up 7 units and a horizontal shift right 5.

So, the transformation from:

First, plot both graphs.

(Refer to the graph attached below)

Therefore, the transformation that occurs from the graph (y = x²) to the graph of [y = (x − 5)² + 7] is (D) a vertical shift up 7 units and a horizontal shift right 5.

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Which one of the following is NOT equivalent to 3/4?

16/24 = 2/3

15/20 = 3/4

6/8 = 2/3

24/32 = 3/4

Answer: 16/24 and 24/32 are not equivalent to 3/4

Step-by-step explanation:

Equivalent fractions represent the same value, even though they look different.

Here, when we convert every fraction to its simplest form, we can verify if they are equal.

(16/24) ÷ (8/8) = 2/3

(15/20) ÷ (5/5) = 3/4

(6/8) ÷ (2/2) = 3/4

(24/32) ÷ (4/4) = 6/7

As the simplest forms of 16/24 and 24/32 are not 3/4, they are not equivalent fractions of 3/4.

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Answer:

A. $760

Step-by-step explanation:

Price: $8

Amount of goods; 95

revenue = price x total units

$8 x 95 = $760 revenue

Answer:

John has 4 pair of jeans.

Hope this helps : )

Step-by-step explanation:

Together they 10, so if Janet has 6 more, we have to subtract.

10 - 6 = 4

Check:

6 + 4 = 10 ✔