Fill in the blanks to solve 48 x 8.
48 x 8
= 40 eights + 8
eights

Answer:

\( slope (m) = 6 \)

Step-by-step explanation:

To get the slope of the line of the given table of values, all we need is just 2 coordinate pairs from the table. We can pick any two.

Let's use, (-1, 0), and (0, 6).

Apply the formula, \( \frac{y_2 - y_1}{x_2 - x_1} \), where,

\( (-1, 0) = (x_1, y_1) \)

\( (0, 6) = (x_2, y_2) \)

Thus:

\( m = \frac{6 - 0}{0 - (-1)} \)

\( m = \frac{6}{1} \)

\( slope (m) = 6 \)

Compound inequalities is the combination of two inequalities in one inequality.

Given that:

\(100 \le A \le 1000\)

The area (A) of the rectangle is calculated as follows:

\(A = Length \times Width\)

So, we have:

\(A = 4x \times 5\)

\(A = 20x\)

Substitute 20x for A in \(100 \le A \le 1000\)

So, we have:

\(100 \le 20x \le 1000\)

Divide through by 20

\(100/20 \le x \le 1000/20\)

\(5 \le x \le 50\)

Split the above inequality

\(5 \le x\) and \(x \le 50\)

Rewrite as:

\(x \ge 5\) and \(x \le 50\)

This means that the values of x is from 5 to 50

All solutions of x are viable

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Answer: 5<x<50

Step-by-step explanation: area = longest side x shortest Side

Area = 4x . 5 =20x

100/20 < 20x/20< 1000/20

5<x<50

Answer:

1. 1 person

2. 30 years

3. one mortgage and one credit card

4. $8,850

5. $2,695

6. She’s 60 days overdue, by $50, on 1 account

7. 29 months

Step-by-step explanation:

Answer: yeah hes right the other guy that answered this

Step-by-step explanation:

Answer:

mate ur answer is a

Step-by-step explanation:

formula pir^2h

3.141*18.8*18.8*24

1417.21

which is 1357

Answer: D

Step-by-step explanation: I just got it wrong from the first person it said it was D

Answer:

Probability distribution for x:

\(P(x=0)=0.3644\\\\P(x=1)=0.4373\\\\P(x=2)=0.1749\\\\P(x=3)=0.0233\\\\\)

Step-by-step explanation:

We can model the number of defective sets in the group of TV sets (variable x) as a binomial variable, with sample size=3 and probability of success p=2/7≈0.2857.

The probability of k defective sets in the group is:

\(P(x=k) = \dbinom{n}{k} p^{k}q^{n-k}\)

So, we have this probabilty distribution for x:

\(P(x=0) = \dbinom{3}{0} p^{0}q^{3}=1*1*0.3644=0.3644\\\\\\P(x=1) = \dbinom{3}{1} p^{1}q^{2}=3*0.2857*0.5102=0.4373\\\\\\P(x=2) = \dbinom{3}{2} p^{2}q^{1}=3*0.0816*0.7143=0.1749\\\\\\P(x=3) = \dbinom{3}{3} p^{3}q^{0}=1*0.0233*1=0.0233\\\\\\\)

The unit rate of computers per day using the graph is that 12 computers are made per day.

The unit rate is how many units of quantity correspond to the single unit of another quantity. We say that when the denominator in rate is 1, it is called unit rate. Unit rates is said to be the amount of something in each unit or per unit.

To obtain the unit rate of computers sold per day using the graph, we need to obtain the slope of the graph, which is the change in y per change in x

So, it is given by:

\(\text{Slope} = \dfrac{\text{change in y}}{\text{change in x}}\)

\(\text{Slope} = \dfrac{\text{y}_2-\text{y}_1}{\text{x}_2-\text{x}_1}\)

\(\text{y}_2 = 60 , \ \text{y}_1 = 36 , \ \text{x}_2 = 5, \ \text{x}_1 = 3.\)

\(\text{Slope} = \dfrac{(60 - 36)}{(5 - 3)} = \dfrac{24}{2} = 12\)

\(\bold{Slope = 12}\)

Unit rate = 12 computers per day.

The attachment of the graph is given below.

Therefore, the unit rate of computers per day is 12.

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Answer:

V = 460.68

Step-by-step explanation:

V=(lwh)/3

Step-by-step explanation:

from which text book please

Answer:

Step-by-step explanation: 9091.6

Answer:

9091.6

Step-by-step explanation:

Answer: \(\$1.45\); \(\$3.6\)

Step-by-step explanation:

Given

A dozen roses in a gift box costs $21

Similarly, 20 roses in a gift box costs $32.6

Suppose the price of single rose and gift box is \(x\) and \(y\)

\(\therefore 12x+y=21\quad \ldots(i)\\\Rightarrow 20x+y=32.6\quad \ldots(ii)\)

Solving (i) and (ii) ,  we get

\(x=\$1.45;y=\$3.6\)

Thus, the price of the one rose is \(\$1.45\) and the price of gift box is \(\$3.6\)

Answer:

1.45 and 3.5

Step-by-step explanation:

For the transformations of the triangle, we have that:

1. The translation of triangle ABC preserves side lengths and angles.

2. The dilation of triangle ABC preserves angles but not side lengths.

Hence the correct options are, respectively, C and B.

A translation involves shift left, shift right, shift down, or shift up, meaning that just the coordinates of the figure change, not the angles or the side lengths,

1. The translation of triangle ABC preserves side lengths and angles.

For a dilation, the coordinates of the vertices are multiplied by a constant, hence the side lengths change while the angles remain constant, thus:

2. The dilation of triangle ABC preserves angles but not side lengths.

Hence the correct options are, respectively, C and B.

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Answer:

\({ \boxed{ \rm{y = 3x - 11}}}\)

Step-by-step explanation:

• Let the equation be:

\({ \tt{y = 3x + m}}\)

• when x is 1, y -8

\({ \rm{ - 8 = 3 + m}} \\ \\ { \rm{m = - 11}}\)

Answer:

d² - 24d + c = (d - 12)² - 144 + c

Answer:

(3x+2)(x-5)

Step-by-step explanation:

Factor by grouping

\(3x^2-13x-10\\=3x^2-15x+2x-10\\=3x(x-5)+2(x-5)\\=(3x+2)(x-5)\)

Answer:

b = cd / a

Step-by-step explanation:

cd / b = a

cd = a * b

b = cd / a

In the equation  \(\frac{cd}{b}=a\) the solution of b is  \(b = \frac{cd}{a}\).

To solve for "b" in the equation \(\frac{cd}{b}=a.\)

Isolate "b" by performing the steps:

Multiply both sides of the equation by "b" to eliminate the denominator:

\(cd = ab\)

Divide both sides of the equation by "a" to solve for "b":

\frac{cd}{a}=b.

Therefore, the solution for "b" is \(b = \frac{cd}{a}\).

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Answer:

g(x) is correct because if you look at the top of each parabola graph, you'll see how the vertex (the point in the middle top of the parabola) is higher than the other vertex of the function f(x). The y-coordinate of the vertex is the max/mini value, the x- coordinate of the vertex is the line of symmetry.

I applied this to my own problem and got it correct! You can use d e s m o s to see how the graph looks, and compare them. Good Luck!

Answer:

Step-by-step explanation:

Remaining fraction:

1/5 of books are encyclopedia

Answer:

Let the total fraction of books be 1, then;

\(1 - ( \frac{1}{10} + \frac{2}{10} + \frac{1}{2} ) \\ 1 - ( \frac{(1 + 2 + 5)}{10} ) \\ (1 - \frac{8}{10}) = \frac{(10 - 8)}{10} \\ \frac{2}{10} = \boxed{ \frac{1}{5} }\)

The tent is pentagonal , this means it has 5 sides. The tent have a side length of 5.13 meters.

The area of the pentagon can be calculated below

Each interior angle of a pentagon is

The probability that two cards chosen from an ordinary deck of 52 cards are both kings is d) None of the above.

There are 4 kings in a deck of 52 cards, so the probability of drawing one king from the deck is 4/52. Once a king has been drawn, there are only 3 kings left in the deck, and the total number of cards in the deck is reduced by one. So the probability of drawing a second king given that the first king has already been drawn is 3/51.

To find the probability of drawing two kings in a row, we need to multiply the probability of drawing the first king (4/52) by the probability of drawing the second king (3/51) given that the first king was drawn:

Probability of drawing two kings = (4/52) * (3/51) = 1/221

Therefore, the probability that two cards chosen from an ordinary deck of 52 cards are both kings is 1/221, which is not one of the options listed. Thus, the correct answer is option d) None of the above.

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My Answer to this would be: 25.26

Answer:

Step-by-step explanation:

Answer:

The measure of CD is 46

Step-by-step explanation:

From the midpoint theorem, we have,

FG = (1/2)CD

so,

\(13+5x=(1/2)(-3x+52)\\So,\\2(13+5x)=-3x+52\\26+10x=-3x+52\\13x=52-26\\13x=26\\x=26/13\\x=2\)

Now,

\(CD = -3x+52\\since \ x=2\\we \ get\\CD=-3(2) +52\\CD=-6+52\\CD=46\)

Answer:

There is not enough evidence to support the claim that the fat percentage of at least one of the four ethnic groups is different.

Step-by-step explanation:

The Analysis of Variance (ANOVA) test is used to determine whether there is any significant difference between the mean of various independent groups.

In this case an ANOVA test is being performed to determine whether the fat percentage of four different ethnic groups are different or not.

The hypothesis can be defined as:

H₀: The fat percentage of four different ethnic groups are same, i.e. μ₁ = μ₂ = μ₃ = μ₄.

Hₐ: The fat percentage of at least one of the four ethnic groups is different, i.e. at least one μ\(_{i}\) is different.

The significance level of the test is, α = 0.05.

The decision rule is:

The p-value of the ANOVA test is computed as, p-value = 0.11.

p-value = 0.11 > α = 0.05.

The null hypothesis was failed to be rejected.

Hence, it can be concluded that there is not enough evidence to support the claim that the fat percentage of at least one of the four ethnic groups is different.

Answer:

864 cubic meters

Step-by-step explanation:

Rectangular prism = 5x9x12=540

Triangular prism = 1/2(9)(6)(12)=324

540+324=864 cubic meters

The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

Answer:

Step-by-step explanation:

Translated point (-1,-3). The point moved to the right 2 (horizontal) and up 2 (vertical).

The coordinate of translated point would be (-1,-3) and its movement is vertically upside and horizontally right side of the coordinate system.​

A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.

Vertical shifting of a graph is done by adding any arbitrary constant to the function in shifting.

For example, If shift up by 1 unit,  add 1 to the function

If shift down by 4 units, subtract 4 from the function

The original coordinate is (-3, -5).

Translate the point (-3, -5) using the rule, x→+2, and y→+2,

The coordinate of translated point would be (-3+2, -5+2) = (-1, -3).

Here the movement is vertically upside and horizontally right side of the coordinate system.​

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Answer:

26

Step-by-step explanation:

One leg measures 7.

One leg measures 8.

a² + b² = c²

7² + 8² = c²

c² = √113 = 10.630 = 11

perimeter = 7 + 8 + 11

perimeter = 26

Answer:

320

Step-by-step explanation:

Is the 3 to 2 part to part?  Out of every 5 people, 3 prefer pizza and 2 do not.  We can us this to set up a proportion.

3/5 = 120/x  The 3 represent the part that like pizza over the whole of 5.  The second ratio is showing the actual number of people that liked pizza over the total number of people.

What would be multiply 3 by to get 120? 40.  So, we will multiply 5 times 40 to get the total number of people.  5 x 40 = 200