Mark and Gary had a basketball game Saturday. Mark had three times as many rebounds as Gary. If together they had 28 rebounds, how many rebounds did Mark have?

A. 14
B. 9
C. 21
D. 7

Please someone answer with an explanation!! I keep putting questions but get no answer and if I do, they just scam my points. If no explanation, please get ready to be reported, thank you :)

Answer:

-1.25

Step-by-step explanation:

t÷3-1÷2 = t÷1+3÷9

2t-3÷6 = 9t+3=9

18t - 27 = 54 + 18

18t -54t = 18 + 27

-36t = 45

Divide through by -36

t = -1.25

Answer:

f(x)  :  exponential growth

g(x);  exponential growth

h(x):  exponential growth

j(x):   exponential decay

Step-by-step explanation:

In an exponential function such as
\(m(x) = a \cdot b^x\)

the factor that determines whether it is a growth or decay function depends entirely on the value of b since x cannot be negative

If b > 1, it is a growth function

If b < 1 then it is a decay function

If b = 1 neither growth or decay function values are constant

In this context
f(x) has b = 2 > 1 . Hence it is a growth function
g(x) has b = 3 > 1 hence growth function
h(x) has be = 3/2 > 1; hence growth function
j(x) has be = 0.5 < 1 hence decay function

Answer:

O f(x)  :  exponential growth

O g(x);  exponential growth

O h(x):  exponential growth

O j(x):   exponential decay

Step-by-step explanation: I used to do this before :)

True, While "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.

The statement "-1000 2/3 is not a real fraction" is true. A real fraction is a mathematical expression that represents a ratio of two real numbers. In a fraction, the numerator and denominator are both real numbers, and they can be positive, negative, or zero.

In the given statement, "-1000 2/3" is not a valid representation of a fraction. The presence of a space between "-1000" and "2/3" suggests that they are separate entities rather than being part of a single fraction.

To represent a mixed number (a whole number combined with a fraction), a space or a plus sign is typically used between the whole number and the fraction. For example, a valid representation of a mixed number would be "-1000 2/3" or "-1000 + 2/3". However, without the proper formatting, "-1000 2/3" is not considered a real fraction.

It's important to note that "-1000 2/3" can still be expressed as an improper fraction. To convert it into an improper fraction, we multiply the whole number (-1000) by the denominator of the fraction (3) and add the numerator (2). The result would be (-1000 * 3 + 2) / 3 = (-3000 + 2) / 3 = -2998/3.

In conclusion, while "-1000 2/3" is not a real fraction, it can be represented as the improper fraction -2998/3.

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Answer:

Step-by-step explanation:

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89,144,233,377,610,987, 1597, 2584, 4181, 6765, 10946, 17711, 28657, 46368, 75025, 121393, 196418, 317811, 514229, ... Can you figure out the next few numbers?

The expression that could be used to calculate the amount Trina was charged in interest for the billing cycle is  (APR / 365) x 30 days x adjusted balance.

The adjusted balance method is one of the methods for computing the finance charge (interest and other fees) for credit cards.

The adjusted balance is the ending balance determined after adjusting the opening balance with purchases and payments.

Credit card interest method = adjusted balance method

Beginning balance = $780

Purchase = $170

Payment = $210

Adjusted balance, AB = $740 ($780 + $170 - $210)

APR = 17% = 0.17 (17/100)

The interest charged = (APR / 365) x 30 days x adjusted balance

= $10.34 [(0.17/365) x 30 x $740]

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Answer:

hi I didn't understand the question

can you please help me to understand.

I will try to give my best

Answer:

x=-3

Step-by-step explanation:

The equation of the directrix is x = -3

Given the general equation of a parabola expressed as

(y-y0)² = 4a(x-x0) ... 1

Equation of the directrix will be expressed as x = x0 - a

From the equation given;

y² = 12x ... 2

Comparing 1 and 2;

x - x0 = x

-x0 = x - x

-x0 = 0

x0 = 0

Similarly;

y-y0 = y

-y0 = y - y

-y0 = 0

y0 = 0

Also;

4a = 12

a = 12/4

a = 3

Substituting x0 =0, y0 = 0 and a = 3 into the equation of the dirrectrix above, we will have;

x = x0 - a

x = 0 - 3

x = -3

Hence the equation of the directrix is x = -3

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Answer:

The answer is Graph B. you could also plug it in demos and it will give you the answer.

Cheese and baloney sandwich

The class width used for the frequency distribution is 6.

The class midpoint for the class 23-29 is 26.

The class midpoint for the class 30-36 is 33.

The class midpoint for the class 37-43 is 40.

To find the class width of the frequency distribution, we need to determine the range of each age class. The range is the difference between the upper and lower boundaries of each class. Looking at the table, we can see that the class boundaries are as follows:

23-29

30-36

37-43

For the class 23-29, the lower boundary is 23 and the upper boundary is 29. To find the class width, we subtract the lower boundary from the upper boundary:

Class width = 29 - 23 = 6

So, the class width for the frequency distribution is 6.

To find the class midpoint for each class, we take the average of the lower and upper boundaries of each class.

For the class 23-29:

Class midpoint = (23 + 29) / 2 = 52 / 2 = 26

For the class 30-36:

Class midpoint = (30 + 36) / 2 = 66 / 2 = 33

For the class 37-43:

Class midpoint = (37 + 43) / 2 = 80 / 2 = 40

So, the class midpoint for the class 23-29 is 26, for the class 30-36 is 33, and for the class 37-43 is 40.

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Using the Venn Diagram principles, the number of customers at the supermarket who purchased both shirts and pants is 26.

A Venn Diagram shows a pictorial or graphical representation of the relationship (similarities and differences) between data sets.

In a Venn Diagram, overlapping circles or other shapes can be used to depict the logical relationships between two or more data sets or items.

The total number of customers at a supermarket = 118

The number of customers who purchased shirts, n(A) = 45

The number of customers who purchased pants, n(B) = 59

The number of customers who purchased neither shirts nor pants = 40

Let the number of customers who purchased both shirts and pants = n(A ∩ B)

n(A ∪ B) = n(A) + n(B) - n(A ∩ B)

n(A) = 45 n(B) = 59 n(A ∪ B) = 118 - 40 = 78

Substituting values:

78 = 45 + 59 - n(A ∩ B)

Solving for n(A ∩ B), we get:

n(A ∩ B) = 45 + 59 - 78 n(A ∩ B) = 26

Thus, using the formula of Venn Diagram, we can conclude that at this supermarket with 118 customers, 26 customers purchased both shirts and pants.

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Answer:

m= -1

Step-by-step explanation:

Given:

m/m plus 4 plus 4/4-m = m^2/m^2-16

interpreted as

m / ((m+4)(4-m)) = m^2/(m^2-16)

Solution

m / ((m+4)(4-m)) = m^2/(m^2-16)

rearrage and expand

-m / ((m+4)(m-4)) = m^2 / ((m+4)(m-4))

if m does not equal 0, we can cancel terms in numerator

-1 / ((m+4)(m-4)) = m / ((m+4)(m-4))

if m does not equal +4 nor -4, we can cancel terms in denomnator

-1 = m

Hence m=-1 if m does not equal 0, -4 or +4, which is valid.

The probability that either event will occur is 0.33

From the question, we have the following parameters that can be used in our computation:

Using the above as a guide, we have the following:

Total = A + B + C

So, we have

Total = 8 + 7 + 30

Evaluate

Total = 45

So, we have

P(A) = 8/45

P(B) = 7/45

For either events, we have

P(A or B) = 8/45 + 7/45

P(A or B) = 15/45

Evaluate

P(A or B) = 0.33

Hence, the probability that either event will occur is 0.33

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Answer:

Step-by-step explanation:

She has  5 dimes, 2 pennies, and 3 nickels in her pocket.

So 5+2+3 = 10 coins total.

For the first coin is a dime, the probability = number of dimes/total number of coins

= 5/10

= 1/2

After that, 9 coins are left with 4 dimes, 2 pennies and 3 nickels.

For the second coin is a penny, the probability = number of penny / total number of coins

= 2/9

Combining the above, probability that the first coin is a dime and the second coin is a penny

= 1/2 * 2/9

= 1/9

Answer:

67.7

Step-by-step explanation:

Temperature at beginning of Father's Day = 65.8 degrees

Drop in temperature because of rain = 10.7 degrees

Rise in temperature after the rain the next day = 12.6 degrees

Therefore, temperature at the end of the day after the Father's Day

= Temperature at beginning of Father's Day minus Drop in temperature because of rain plus Rise in temperature after the rain the next day

= 65.8 - 10.7 + 12.6

= 67.7 degrees

NB: The answer was written as only 67.7 as requested by the questioner.

The solution to the given simultaneous equations using Cramer's rule is x = -1, y = -4.92, z = -1.03.

To solve the given simultaneous equations using Cramer's rule, we need to find the determinants of various matrices.

Given the set of equation:

3x-3y+ 5z = 5

9x - 8y + 13z = 14

-3x+4y- 7z=-7

We start by finding the determinant of the coefficient matrix, which is denoted as D.

D = \(\left[\begin{array}{ccc}3&-3&5\\9&-8&13\\-3&4&-7\end{array}\right]\)

To calculate D, we use the formula:

D = (3 * (-8) * (-7) + (-3) * 13 * (-3) + 5 * 9 * 4) - ((-3) * (-8) * 5 + 3 * 13 * 4 + (-3) * 9 * (-7))

D = (-168 + 117 + 180) - (120 - 156 + 189)

D = 129 - 165

D = -36

Next, we need to find the determinants of the matrices obtained by replacing the columns of the coefficient matrix with the constant terms. These determinants are denoted as Dx, Dy, and Dz, respectively.

Dx = \(\left[\begin{array}{ccc}5&-3&5\\14&-8&13\\-7&4&-7\end{array}\right]\)

Dx = (-40 - 65 + 20) - (-70 - 60 + 189) = -85 - (-121) = -85 + 121

Dx= 36

Dy = \(\left[\begin{array}{ccc}3&5&5\\9&14&13\\-3&-7&-7\end{array}\right]\)

Dy = (21 + 75 + 35) - (-21 - 130 + 105) = 131 - (-46) = 131 + 46

Dy = 177

Dz = \(\left[\begin{array}{ccc}3&-3&5\\9&-8&14\\-3&4&-7\end{array}\right]\)

Dz = (39 - 39 + 0) - (-27 + 84 + 20) = 0 - (-37) = 0 + 37

Dz = 37

Finally, we can find the values of x, y, and z using the formulas:

x = Dx / D

y = Dy / D

z = Dz / D

Plugging in the values, we have:

x = 36 / -36 = -1

y = 177 / -36 ≈ -4.92

z = 37 / -36 ≈ -1.03

Therefore, the solution to the given simultaneous equations using Cramer's rule is x = -1, y ≈ -4.92, z ≈ -1.03.

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x = (12 ± √(-16)) / 4,The solutions would be complex numbers.

To solve quadratic equations of the form ax2 + bx + c = 0, use the quadratic formula. For this situation, your condition is as of now as a quadratic condition, with a = 2, b = - 12, and c = 20.

The quadratic formula is:

x = (-b ± √\((b^2 - 4ac)\)) / 2a

Plugging in the values for a, b, and c, we get:

x = (-(-12) ± √\(((-12)^2 - 4(2)(20)))\) / 2(2)

Simplifying the expression inside the square root:

x = (12 ± √\((144 - 160)\)) / 4

x = (12 ± √(-16)) / 4

Since the square foundation of a negative number is definitely not a genuine number, this condition has no genuine arrangements. Complex numbers would provide the answers.

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Answer:

89.44

Step-by-step explanation:

\(120^2-80^2=8000\)

\(\sqrt{8000} = 89.44\)

Answer:

Peter gets 18£

Gordon and Gavin each get 9£

Answer:

peter = 18 Gordon = 9 Gavin = 9

Step-by-step explanation:

2+1+1 = 4

36 div 4 = 9

2 times 9 = 18

1 times 9 = 9

1. Using the multiplication of unit cost and quantity, the cost for each type of fabric is as follows:

2. Using the addition operation, the total estimated cost required by Parker to make the quilt is $96.17.

Mathematical operations include multiplication, division, addition, and subtraction.

These basic mathematical operations can be used to determine solutions to mathematical problems.

While the costs for the fabrics are determined using multiplication, the total estimated costs for the quilt are the addition of all the different material costs.

                                            Unit Cost  Units   Total Cost

Fabric A, per yard                  $6.89        3         $20.67 ($6.89 x 3)

Fabric B, per yard                  $4.39        5            21.95 ($4.39 x 5)

Fabric C, per yard                  $3.25       9            29.25 ($3.25 x 9)

Batting, per package           $17.50        1             17.50

Thread, per spool                  $2.10        1               2.10

Template plastic, per sheet $3.35         1              3.35

Needles, per package          $1.35         1               1.35

Total estimated costs                                        $96.17

Thus, in this situation, we have applied mathematical operations to determine the different costs.

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Answer:

 y = 4.87x + 2.28 Is the answer

Step-by-step explanation:

( i see a little bit of part b but do not see the FULL QUESTION which is a problem and i cannot answer.. )

using a:

THE ULTIMATE LINEAR REGRESSION CACLAULTOR

yes it is the epic i get:

y = 4.87x + 2.28

Nothing more noting less ikr

y = 4.87x + 2.28 Being the answer

Answer:

24 or uhm 44.6? i.d.k.

Step-by-step explanation:

The median of the given set {86, 24, 65, 65, 24, 24} is 44.5.

To find the median of the given set of numbers: 86, 24, 65, 65, 24, 24, we need to first arrange the numbers in ascending order:

24, 24, 24, 65, 65, 86

Now, there are six numbers in the set. Since there is an even number of data points, the median is the average of the two middlemost values.

The two middlemost values are 24 and 65.

Median = (24 + 65) / 2 = 89 / 2 = 44.5

So, the median of the given set is 44.5.

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Answer: Graph A

Step-by-step explanation:

Graph A. If you find the y-intercept by plugging in 0 for x, you get 2.5 = y, so therefore graph A is correct.

Answer:

Step-by-step explanation:

1 )

\(\frac{2}{5}( \frac{5x}{4} - \frac{10}{3})-\frac{4x}{3} \\\frac{x}{2} - \frac{4}{3} - \frac{4x}{3}\\ \frac{-5x}{6}-\frac{4}{3}\)

2 )

\(\frac{17x}{8}+\frac{3x}{4}+\frac{1}{6}-\frac{7x}{12}+\frac{17}{3}\\ \frac{51x}{24}+\frac{18x}{24}-\frac{14x}{24}+\frac{35}{6}\\\frac{55x}{24}+\frac{35}{6}\)

The two relations that are also functions are:

A relation is a function if and only if each point in the domain is mapped into a single value of the range.

So for example, the following relation:

{ (a, b), (a, c), (d, f)}

The input a is mapped into two different outputs, thus, this is not a function.

Then from the given options the ones that can be functions are:

S = { (-1, 0), (3, 2), (5, 4), (8, 9), (15, 12)}

R = {(0, -1), (2, 1), (5, 4), (7, 9), (14, 12)}

In all the other relations we can see inputs mapped into more than one output.

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__________________________________________________________
In this question, you are solving the expression by plugging in the value "-3" to all of the "m" variables in the expression.

__________________________________________________________

Solve:

Expression: m + 7m + 1

Plug "-3" into the "m" variables and solve.

-3 + 7(-3) + 1
-3 - 21 + 1

-24 + 1

-23

Your final answer should be: -23

__________________________________________________________

Answer: -23

__________________________________________________________

Answer:

m+7m+1 = -23

Step-by-step explanation:

To solve the given equation we will follow the PEDMAS rule.

PEDMAS stands for :

Substituting the value of m = 3 to evaluate the expression :

\(\begin{gathered} \qquad{\twoheadrightarrow{\sf{m + 7m + 1}}}\\\\\qquad{\twoheadrightarrow{\sf{( - 3) + (7 \times - 3) + 1}}}\\\\\qquad{\twoheadrightarrow{\sf{ - 3 - 21+ 1}}}\\\\\qquad{\twoheadrightarrow{\sf{ - 24+ 1}}}\\\\\qquad{\twoheadrightarrow{\sf{ - 23}}} \\\\\qquad{\star{\underline{\boxed{\sf{\red{ - 23}}}}}}\end{gathered}\)

Hence, the answer is -23.

\(\rule{300}{2.5}\)

Answer:

y <= -2x + 1

Step-by-step explanation:

The one that is selected is correct.

Answer:

q=8/3

Step-by-step explanation:

First, add 5/6 to both sides to get rid of -5/6 to get q=16/6 then simplify to q=8/3.

Answer:

\(q=2\frac{2}{3}\)

Step-by-step explanation:

The given equation consists of a fraction and a mixed number.

First, convert the mixed number into an improper fraction by multiplying the whole number by the denominator of the fraction, adding this to the numerator of the fraction, and placing the answer over the denominator:

\(q-\dfrac{5}{6}=1 \frac{5}{6}\)

\(q-\dfrac{5}{6}=\dfrac{1 \cdot 6+5}{6}\)

\(q-\dfrac{5}{6}=\dfrac{11}{6}\)

Now, add 5/6 to both sides of the equation to isolate q:

\(q-\dfrac{5}{6}+\dfrac{5}{6}=\dfrac{11}{6}+\dfrac{5}{6}\)

\(q=\dfrac{11}{6}+\dfrac{5}{6}\)

As the fractions have the same denominator, we can carry out the addition by simply adding the numerators:

\(q=\dfrac{11+5}{6}\)

\(q=\dfrac{16}{6}\)

Reduce the improper fraction to its simplest form by dividing the numerator and denominator by the greatest common factor (GCF).  

The GCF of 16 and 6 is 2, therefore:

\(q=\dfrac{16\div 2}{6 \div 2}\)

\(q=\dfrac{8}{3}\)

Finally, convert the improper fraction into a mixed number by dividing the numerator by the denominator:

\(q=2 \; \textsf{remainder}\;2\)

The mixed number answer is the whole number and the remainder divided by the denominator:

\(q=2\frac{2}{3}\)