Let p: The whole number has one digit.
Let q: The whole number is less than 10.
Which represents "The whole number has one digit if and only if the whole number is less than 10"?
pvq
p^q
p-q
p q

Answer:

x = sqrt(403)

Step-by-step explanation:

Use Pythagorean Theorem for right triangles

x^2 + 9^2 = 22^2

   x = sqrt 403

Using proportions, it is found that the number of cups per student is of 1.97. hence there will not be enough for each student to have 2 cups.

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

Each gallon is worth 16 cups, hence, since each grade is given 15 gallons of water, and the trip consists of three grades, the number of cups is given by:

C = 3 x 15 x 16 = 720.

There is a total of 370 students, hence the number of cups per student is given by:

n = 720/370 = 1.97.

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Answer: b1/b1=h1/h2=10/12=15/h2 so use criss cross and equel to 15×12=10h2 both sides devide by 10 and equel 180/10=18

so h2=18

The mathematical symbol for the line XY is XY(a line on top it) . The first option

There are so many mathematical symbols use in geometry. They include ∠(angles), ⊥(perpendicular line), Δ(triangle), ≅(congruency) and many more.

Therefore, the symbol for the line XY is as follows;

XY(a line on top it)

It means line segment "XY"

In words, it is the line segment between X and Y

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The mean and median of the given set of data are respectively; The mean age is 38.28. The median age is 38.

The mean simply means the average of the set of data. Thus;

Mean = ∑x/n

∑x = 22 + 24 + 28 + 28 + 30 + 31 + 31 + 32 + 32 + 35 + 36 + 37 + 38 + 41 + 42 + 42 + 44 + 44 + 45 + 46 + 46 + 47 + 47 + 49 + 50

∑x = 957

Mean = 957/25

Mean ≈ 38.28

B) Median is the midterm when arranged in ascending order. When we arrange in ascending order, we get;

22, 24, 28, 28, 30, 31, 31, 32, 32, 35, 36, 37, 38, 41, 42, 42, 44, 44, 45, 46, 46, 47, 47, 49, 50

Thus, the median is 38.

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Answer:

y = 6

Step-by-step explanation:

-7 (4) + y = -22

-28 + y = - 22

+28 + 28

y = 6

Area of base

Volume

The computation shows that the greatest number of each wing that she can purchase with her money will be 28 wings.

From the information, Jessie goes to the mall, she alwavs makes sure to have $10 for lunch at the food.

In this case, he cannot be able to buy boneless wings a it cost $50.45. Therefore, the number of bone in wing that can be bought will be:

= 10/0.35

= 28

Therefore, the computation shows that the greatest number of each wing that she can purchase with her money will be 28 wings.

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Answer:

No because Us is powerful country canada is also powerful but U S ever sale to candians

The statement that is true for ΔXYZ and ΔX''Y''Z'' is; 2: ΔXYZ and ΔX''Y''Z'' are congruent

We are told that;

- Triangle XYZ is rotated 90º clockwise about the origin to form triangle X'Y'Z'.

- Thereafter, reflected across the x-axis to form triangle X''Y''Z''

Now, in transformation, Reflection is flipping an object across a line without changing its size or shape while Rotation is rotating an object about a fixed point without changing its size or shape. Thus, it means that the size and shape of the triangle formed is not different from the original one.

Thus, we can say that both triangles are congruent because the shape and size didn't change.

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Answer:

see the attachment photo!

Answer:

Step-by-step explanation:

Formula:

[tex]p\left( A|B\right) =\frac{p\left( A\cap B\right) }{p\left( B\right) }[/tex]

Then

[tex]p\left( A|B\right) =\frac{\frac{2}{9} }{\frac{1}{3} } =\frac{2}{9} \times \frac{3}{1}=\frac{6}{9}=\frac{2}{3}[/tex]

Answer:

294[tex]m^2[/tex]

Step-by-step explanation:

The area of one face of the cube would be 7 x 7 = 49 [tex]m^2[/tex]

Since there are 6 faces on a cube, the total surface area would therefore be 49 x 6 = [tex]294m^2[/tex]

Answer:

2 good scoops

Step-by-step explanation:

I got you I think

Step-by-step explanation:

Hello there!

This is how we solve this problem

7/8 ÷ 2 1/4

[tex] \frac{7}{8} \div 2 \frac{1}{4} \: conveting \: to \: improper \: faction\\ \\ = \frac{7}{8} \div \frac{9}{4} \\ = \frac{7}{8} \times \frac{4}{9} \: multiply \: through \\ = \frac{7}{18} [/tex]

= 7/18

I hope this helps.

Have a nice studies.

Answer:

Dilation

Step-by-step explanation:

it’s a dilation because the dilation changes how big the image is or what it looks like after the original image.

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Answer:

P (blue) = 23 / 82

Step-by-step explanation:

There are 23 blue out of 82 (28 + 21 + 23 + 10 = 82) balls

or,

23 / 82

So, the probability of a blue ball being chosen is  23/82  

(or a 28% chance [rounded])

Answer:

25

Step-by-step explanation:

When multiplying a whole number by a fraction, the first step is to multiply the whole number by the numerator. Then, you divide by the denominator. For example, on the left side, 5 x 5 = 25. You are left with 25/6. Finally, when you divide by 6, you are left with 4.166.....

If the denominator is the same (6) on both sides, to get the same answer, you somehow need to get the numerator (25) the same. So, what whole number can be multiplied by 1 to get 25? This number is 25. Therefore, the missing number is 25. This answer is correct because 25 x 1 = 25. You would be left with 25/6 and get a final answer of 4.166....

Answer: 400,000

Step-by-step explanation:

The product is the result of multiplication. In other words, you would multiply 80×5,000.

I hope this helps!! :)

Angle C and the 112 degree angle are supplementary, so angle C measures 180-112=68 degrees.

This means that by the exterior angle theorem, [tex]m\angle B=51^{\circ}+68^{\circ}=\boxed{119^{\circ}}[/tex]

Using function concepts, it is found that the correct statements are given by:

It gives the amount of garbage, in tons, produced by a city in t years after 2000.

The amount depends on the number of years, hence:

Hence, the correct statements are given by:

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Answer + Step-by-step explanation:

CE bisects AB

CE ⊥ AB

Then

CE is the perpendicular bisector of AB.

Therefore

CA = CB and DA = DB

…………………………………

we have :

CA = CB

DA = DB

CD is a common side of the two triangles ACD and BCD

Hence , ΔACD ≅ ΔBCD

⇒ ∠CAD ≅ ∠CBD.

The transformation is (b) The graph will reflect across the y-axis and then shift 5 units down.

The missing phrase in the question is: "If f(x) = 2ˣ + 1 is modified as g(x) = 2⁻ˣ + 1 - 5"

The functions are given as:

f(x) = 2ˣ + 1

g(x) = 2⁻ˣ + 1 - 5

First, the function f(x) is reflected across the y-axis (this eliminates options a and c)

The rule of this transformation is

(x,y) ⇒ (-x,y)

So, we have:

f'(x) = 2⁻ˣ + 1

Next, the function f(x) is shifted down by 5 units (this eliminates options d)

The rule of this transformation is

(x,y) ⇒ (x,y - 5)

So, we have:

f''(x) = 2⁻ˣ + 1 - 5

By comparing the functions f"(x) and g(x), we have:

g(x) = f''(x) = 2⁻ˣ + 1 - 5

Hence, the transformation is (b) The graph will reflect across the y-axis and then shift 5 units down.

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Answer:

  a)  ΔCED ~ ΔCAB

  b)  157.5 m

Step-by-step explanation:

The similarity statement for geometric figures lists the corresponding vertices in the same order. Corresponding sides of similar figures are proportional. That fact can be used to find the missing side length.

__

The right angles are corresponding. Angle C corresponds to itself, so the similarity statement can be written ...

  ΔCED ~ ΔCAB

__

Corresponding sides are proportional, so we can write ...

  AB/AC = ED/EC

  AB/(50+160) = 120/160 . . . . . using the numerical values

  AB = 210 × 120/160 = 157.5 . . . meters

The length of the lake is 157.5 meters.

The correct answer that is an example of a permutation is; D: The number of ways 7 books can be selected from 50.

Formula for permutation is;

nPr = n!/(n - r)!

Now, permutation is defined as the arrangement of objects in a definite order. Thus, looking at the given options, the only one that depicts permutation is Option D.

Thus, the correct answer is the number of ways 7 books can be selected from 50.

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Answer:

Radius:3.14

Circumference: 6.28

Step-by-step explanation:

C=2(pi)(r)

replace r with 1

and you get 6.28

R=(pi)(r)^2

Replace r with 1

multiply and you get 3.14