Mathematics High School

How many numbers between 1 and 101 are evenly divisible by 4 but not by 8?

Answers

Answer 1

101/4 = 25.25

so 25 numbers are divisible by 4

101/8 = 12.625

so 12 numbers are divisible by 8

25-12 =13

so 13 numbers are divisible by 4 but not by 8

Related Questions

WILL GIVE A BRAINLIEST IF UR CORRECT PLEASE HELP!!

Find three solutions of the equation.

y = –3x
a.
(3, –9), (0, 0), (–1, 4)
c.
(–2, 6), (3, –9), (2, –7)
b.
(0, 0), (–3, 7), (–2, 6)
d.
(–2, 6), (3, –9), (–4, 12)

Answers

A pair of numbers is a solution of y = -3x if the second number, y, is -3 times the first number, x.

What about the pair (-1, 4)? If you replace x with -1, you get y = -3(-1) = 3, not 4. So (-1, 4) is NOT a solution.

For each answer choice, you have to check all three of the given pairs.

(0, 0) is a solution because if x = 0, then y = -3(0) = 0.
(3, -9) is a solution because if x = 3, then y = 3(-3) = -9.

Can you finish it?

18 divided by 5593 equals 31-5400 = 193 what number should be placed in the box to help complete the division calculation?

Answers

The number that should be placed in the box to complete the division calculation is -7.

To find the number that should be placed in the box to complete the division calculation, let's analyze the given information:

- Dividend: 5593

- Divisor: 18

- Quotient: 31 (hundreds place is 3 and tens place is 1)

- When 5400 is subtracted from 5593, the result is 193.

- The box represents an unknown number in the ones place of the quotient.

To find the value in the box, we need to consider the units place. Since 5400 is subtracted from 5593 to give 193, the difference between the units places should be the value in the box.

193 - 5400 = -5207

So, the number that should be placed in the box to complete the division calculation is -7.

Correct question is:

What number should be placed in the box to help complete the division calculation?

Long division setup showing an incomplete calculation. 18 is in the divisor, 5593 is in the dividend, and 3 hundreds and 1 tens is written in the quotient.

5400 is subtracted from 5593 to give 193.

An unknown value represented by a box is being subtracted from 193.

A student performed the following steps to find the solution to the equation x^2-2x-8=0. Where did the student go wrong?

Step 1. Factor the polynomial into (x-4) and (x-2)
Step 2. x-4=0 and x-2=0
Step 3. x=4 and x=3

A. The student did not make any mistakes, the solution is correct
B. in step 1
C. in step 2
D. in step 3

Answers

In step 1, because you want to find factors that multiply to -8 and add to -2. So the correct factorization is (x-4)(x+2). The student got the minus sign wrong.

(Then in step 3 the x=3 is also very wrong, but that looks more like a typo).
(Also, it should be x-4=0 OR x+2=0, there is no x for which both factors are 0 at the same time!)

Is the sqr root of 1.21 rational or irrational?

Answers

sqr root of 1.2 = 1.1 = 11/10

answer
rational

You invest an initial $2,000 in an account that has an annual interest rate of 6%, compounded daily. How much money will you have in the account after 15 years? Round your answer to the nearest whole number.

Answers

The formula is
A=p (1+r/k)^kt
A future value?
P present value 2000
R interest rate 0.06
K compounded daily 365
T time 15 years
A=2,000×(1+0.06÷365)^(365×15)
A=4,918.84

Start with a square piece of cardboard to produce a box that is 8 cm deep and whose capacity is exactly 1 liter. how large must the original square be

Answers

The formula for the volume of a square prism or box is calculated using the formula:

V = s^2 * h

where,

s is the measure of the sides of a square

h is the height of the prism or box = 8 cm

We are given that the volume capacity of the box must be 1 Liter. We know that 1 Liter is equivalent to 1000 cm^3. Therefore calculating for s:

1000 cm^3 = s^2 * (8 cm)

s^2 = 125 cm^2

s = 11.18 cm

Therefore the measure of the sides of the square must be about 11.18 cm. If the problem ask for the area of the square, A = s^2 = 125 cm^2.

For the polynomial 8x3y2 – x?y2 + 3xy2 – 4y3 to be fully simplified and written in standard form, the missing exponent on the

Answers

A polynomial in standard form has terms arranged with the highest exponent on leftmost side and the lowest exponent on the right end. The variables are also arranged alphabetically.

Therefore, the exponent of the x-term must be 2 for the polynomial to be fully simplified and written in standard form.

Answer: 2

Step-by-step explanation: this answer is 100% correct for edge.nuity

What are the zeros of the polynomial function f(x) = x3 − x2 − 12x?

a. 0, −4, −3
b. 0, −4, 3
c. 0, 4, −3
d. 0, 4, 3

Legit answer plz
this is important

Answers

x^3-x^2-12x=0 factor out x

x(x^2-x-12)=0 factor parenthetical expression

x(x^2-4x+3x-12)=0

x(x(x-4)+3(x-4))=0

x(x+3)(x-4)=0

So x=-3, 0, 4

So c) 0, 4, -3

Answer:

The correct option is c.

Step-by-step explanation:

The given function is

[tex]f(x)=x^3-x^2-12x[/tex]

Taking out the common factors.

[tex]f(x)=x(x^2-x-12)[/tex]

Now, factorize the parenthesis.

[tex]f(x)=x(x^2-4x+3x-12)[/tex]

[tex]f(x)=x(x(x-4)+3(x-4))[/tex]

[tex]f(x)=x(x-4)(x+3)[/tex]

Equate the function equal to 0, to find the zeros of the polynomial function f(x).

[tex]f(x)=0[/tex]

[tex]x(x-4)(x+3)=0[/tex]

Using zero product property, we get

[tex]x=0[/tex]

[tex]x-4=0\Rightarrow x=4[/tex]

[tex]x+3=0\Rightarrow x=-3[/tex]

The zeros of the polynomial function f(x) are 0,4,-3. Therefore the correct option is c.

Please help with this question

Answers

I believe the answer is c there is no x value as there is no solution

What is the answer and steps if x=6

Answers

If "[tex]x[/tex]" equals 6

[tex]Then....[/tex]

[tex]Because, \\ \sqrt{6-5=y}^2 \\ y^2 - 1 = 0 \\ \sqrt{6 - 5} = 1 \\ 1 \neq -1 \\ Answer(maybe) : y = 1 [/tex]

The function P(t) = 5,000 (0.93)t is the value of a motor scooter t years after it is purchased. Which of the following values show the annual depreciation of the value of the motor scooter?
93
-7
50
7

Answers

P(t) = 5,000 (1-r)t
P(t) = 5,000 (1-7%)t
P(t) = 5,000 (0.93)t

The annual depreciation rate is 7%

Answer:

Option 4 - 7%

Step-by-step explanation:

Given : The function [tex]P(t) = 5000 (0.93)^t[/tex] is the value of a motor scooter t years after it is purchased.

To find : Which of the following values show the annual depreciation of the value of the motor scooter?

Solution :

We are given a function p(t) which is represented as:

[tex]P(t) = 5000 (0.93)^t[/tex]

Where, p(t) is the value of a motor scooter t years after it is purchased.

Depreciation is the amount that has been deducted from the cost of an item.

The rate of change is 1-0.93=0.07 i.e. 7%.

So, The function P(t) has 7% of the amount has been deducted each year and the value of the motor scooter is 93% of the amount of the previous year.

Therefore, The annual rate of depreciation is 7%.

So, option 4 is correct.

What is the approximate area of a circle whose radius is 7? steps?

Answers

Area is 3.14* Radius^2
So plug in your numbers to get
3.14 * 7^2 = 153.94^2

juanita and lauren are painting a circular mural on one wall of the community center. the area of the mural is 66 square meters. what is the radius

Answers

Final answer:

The radius of Juanita and Lauren's circular mural with an area of 66 square meters is approximately 4.58 meters.

Explanation:

Juanita and Lauren's mural has an area of 66 square meters, and we need to find the radius of the circular mural. To find the radius, we can use the formula for the area of a circle, which is A = πr², where A is the area and r is the radius. Since the area of the mural is 66 square meters, we have:

66 = πr²

To solve for the radius (r), we divide both sides of the equation by π:

r² = 66 / π

Then, take the square root of both sides to get:

r = √(66 / π)

Using a calculator to compute this, we find:

r ≈ 4.58 meters (rounded to two decimal places)

Therefore, the radius of the circular mural is approximately 4.58 meters.

Please help with this question! thanks :)

Answers

the tallest line in the graph is 3

so 3 would be the answer

For large parties, a restaurant adds a 15% service charge to the bill. how much would be added to a bill of $638.40?

Answers

In restaurants, especially the fine dining ones, the bill includes a service charge. This payment is intended for the service given by the restaurant crew to make your experience in their premises worthwhile.

The service charge accounts for a fixed percentage of your total expenses. If your total expenses amount to $638.40, then the service charge would be equal to 638.4(0.15) = $95.7. Therefore, $95.7 will be added to your original bill.

Answer:

Service charge added to a bill of $638.40 is $95.76 .

Step-by-step explanation:

As given

For large parties, a restaurant adds a 15% service charge to the bill.

Bill of the parties is $638.40 .

15% is written in the decimal form

[tex]= \frac{15}{100}[/tex]

= 0.15

Thus

Service charge = 0.15 × Bill of the parties .

= 0.15 × $638.40

= $ 95.76

Therefore service charge added to a bill of $638.40 is $95.76 .

The distance between points (3, 7) and (x1, y1) is the square root of (x1 - 3)2 + (y1 - 7)2. A. True B. False

Answers

In analytical geometry, you can find the distance between two points situated on the same plane using the distance formula. The equation is

d = √[(x2-x1)^2+(y2-y1)^2]

This can be applied by first applying which is point 1 or point 2. Technically, it does not matter which is which, as long as you are consistent in pairing of the x,y coordinates. In this case, point 1 is (3,7) and point 2 is (x1,y1). Therefore, when you substitute the values, the distance would be

d = √[(x1-3)^2+(y1-7)^2]

The statement is TRUE.

Answer:

true

Step-by-step explanation:

took the test hope this helps

What is the image of point (0,3) for mapping (x,y) (x-2,y-3)

Answers

When it asks for the image, that means what are your new coordinates after doing the rules they give you. In this, the rule is to subtract 2 from your x value and subtract 3 from the y value. So you subtract 2 from 0 and subtract 3 from 3. This will give you the values to use for the x and y of your answer:)

Given the function f(x) = log3(x + 4), find the value of f−1(3

Answers

First of all, find f ⁻¹ (x), or the inverse function like so:
y = log(3x + 12)
e^y = 3x + 12
3x = e^y - 12
x = 1/3 (e^y - 12)
Now, swap x and y:
f ⁻¹ (x) = y = 1/3 (e^x - 12)

Secondly and finally, substitute 3 into this eq'n:
f ⁻¹ (3) = 1/3 (e³ -12) = 2.695.....
so 2.695 (to 4 sig.figs/ 3 d.ps)
or if asked for an exact answer then it is just: 1/3 (e³ -12), which can be simplfied to 1/3e³ - 4.

Answer:

Step-by-step explanation:

Given : [tex]f(x) = log_3(x + 4)[/tex]

To Find: [tex]f^{-1}(3)[/tex]

Solution:

[tex]y = log_3(x + 4)[/tex]

Replace y with x and x with y

[tex]x = log_3(y + 4)[/tex]

[tex]3^x = y + 4[/tex]

[tex]3^x-4 = y [/tex]

So, [tex]f^{-1}(x)=3^x-4[/tex]

Now substitute x= 3

[tex]f^{-1}(3)=3^(3)-4 [/tex]

[tex]f^{-1}(3)=27-4 [/tex]

[tex]f^{-1}(3)=23[/tex]

Hence the value of [tex]f^{-1}(3)[/tex] is 23

The line y = x − 6 y=x−6 has exactly one point in common with the circle x 2 + y 2 = r 2 x2+y2=r2. what is the value of r 2 r2?

Answers

Given:
y = x - 6 (1)
for the line
x² + y² = r² (2)
for the circle

When the line intercepts the circle, the x and y values will be equal.
Equate the values of y by substituting (1) into (2).
x² + (x - 6)² = r²
x² + x² - 12x + 36 = r²
2x² - 12x + 36 = r²

Answer: r² = 2x² - 12x + 36

How many different selections of 4 books can be made from a bookcase displaying 12 books?

Answers

(12 x 11 x10 x9) / (4 x3 x 2 x 1) = 495

there are 495 different ways to select 4 books

A dresser contains six pairs of shorts one each in the colors, red, black, blue, green, khaki, and gray. The dresser also contains four shirts one each in the colors black, navy, red, gray. Melanie has to get dressed in the dark, so she grabs A pair of shorts and a T-shirt at random. What is the probability that she selects a green pair shorts and a gray T-shirt?

(First of all, Melanie, you should really get a lamp. And second why is it you own more shorts than shirts?)

Answers

Answer: 1/24

---------------------------------------------------------------------
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Work Shown:

A = selects green pair of shorts
B = selects gray t-shirt

P(A) = probability of selecting green shorts
P(A) = (number of green shorts)/(number of shorts total)
P(A) = 1/6
P(B) = probability of selecting gray t-shirt
P(B) = (number of gray t-shirts)/(number of t-shirts total)
P(B) = 1/4

P(A and B) = probability of selecting green shorts AND gray t-shirt
P(A and B) = P(A)*P(B) ... since A and B are independent events
P(A and B) = (1/6)*(1/4)
P(A and B) = (1*1)/(6*4)
P(A and B) = 1/24

Note: The fraction 1/24 is approximately equal to 0.041667

Triangle XYZ is a right triangle. Angle Z is a right angle and m∠X = 68°. What is m∠Y?

Answers

interior angles of a triangle add up to 180

< X + < Y + < Z = 180
68 + Y + 90 = 180
158 + Y = 180
Y = 180 - 158
Y = 22 <==

m∠Y is 22°

What is right triangle?

Right triangle is defined as a triangle which one angle is a right angle or two sides are perpendicular.

Given,

ΔXYZ is a right triangle

m ∠Z = 90°

m∠X = 68°

Let m∠Y = x,

∵ Addition of interior angles of a triangle is 180°

So, m∠X + m∠Y +m ∠Z = 180°

Subsitute the values,

68° + x + 90° = 180°

x = 180 - 158

x = 22

Hence, m∠Y = 22°

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(30 Points) Paysly is studying a mosquito with a mass of 2.5×10^-6 kilograms and a housefly with a mass of 2×10^-5 kilograms. Which statement is true?

Answers

Housefly with a mass of 2x10^-5 kiligrams

[tex] \cfrac{2*10^{-5}}{2.5*10^{-6}} =0.8*10^1=8[/tex]

B.The housefly is 8 times the mass of the mosquito.

The masses, in kg, of some bags on an airplane are shown below: 7, 6.2, 6.1, 6.8, 6.1, 6.2, 6.8, 5.8, 6.2, 6.3 Jack made the following box plot to represent the masses: box plot shows minimum at 5.8, first quartile at 6.1, median at 6.3, third quartile at 6.8 and maximum at 7 Which of the following did Jack show incorrectly on his box plot?

Answers

the correct answer would the median it should be 6.2 not 6.3

Answer:

The value that Jack show incorrectly on his box plot is:

Median ( As he showed median is 6.3 but median is 6.2)

Step-by-step explanation:

We are given the mass of the bags as:

7, 6.2, 6.1, 6.8, 6.1, 6.2, 6.8, 5.8, 6.2, 6.3

On arranging the data in the increasing order we have:

5.8 6.1 6.1 6.2 6.2 6.2 6.3 6.8 6.8 7

There are a total of 10 data points.

Also, the minimum value is: 5.8

Maximum value is: 7

The median is the central tendency of the data and lie in the middle of the data.

Hence, Median lie between 6.2 and 6.2

Hence, Median=6.2

Also, the lower set of data is: 5.8 6.1 6.1 6.2

The lower quartile or first quartile is the median of lower set of data is: 6.1

Also, the upper set of data is: 6.3 6.8 6.8 7

The upper quartile or Third quartile is the median of lower set of data is: 6.8

Hence, he showed median incorrectly in the box plot.

Which sample fairly represents the population? CHECK ALL THAT APPLY.

--measuring the heights of every fiftieth person on the school roster to determine the average heights of the boys in the school

--calling every third person on the soccer team’s roster to determine how many of the team members have completed their fundraising assignment

--observing every person walking down Main Street at 5 p.m. one evening to determine the percentage of people who wear glasses

--sending a confidential e-mail survey to every one-hundredth parent in the school district to determine the overall satisfaction of the residents of the town

--taking a poll in the lunch room (where all students currently have to eat lunch) to determine the number of students who want to be able to leave campus during lunch

Answers

taking a poll in the lunch room (where all students currently have to eat lunch) to determine the number of students who want to be able to leave campus during lunch

Answer:

The population is defined by: The set of all possible individuals who are likely to be selected for a study and who also share some observable characteristic. In this way, the correct answer is:

Taking a poll in the lunch room (where all students currently have to eat lunch) to determine the number of students who want to be able to leave campus during lunch

Step-by-step explanation:

find the solution to the two equations shown below y=16x-9 y=-4x+21

Answers

Answer: (1.5, 15)

Step-by-step explanation:

The given system of equations :-

[tex]y=16x-9...................(1)\\\\y=-4x+21..................(2)[/tex]

Substituting the value of y from equation (1) in equation (2), we get

[tex]16x-9=-4x+21[/tex]

Now, Adding 4x and 9 on both the sides , we get

[tex]16x+4x=21+9\\\\\Rightarrow\ 20x=30\\\\\Rightarrow\ x=\dfrac{3}{2}=1.5[/tex]

Substitute the value of x in equation (1), we get

[tex]y=16(1.5)-9=15[/tex]

Hence, the solution to the given system of equations : (1.5, 15)

The solution to the given system of equation is (1.5, 15).

The given system of equations are

y=16x-9 ---------(i)

y=-4x+21 ---------(ii)

From equation (i) and (ii), we get

16x-9=-4x+21

16x+4x=21+9

20x=30

x=30/20

x=1.5

Substitute x=1.5 in equation (i), we get

y=16×1.5-9

y=24-9

y=15

Therefore, the solution to the given system of equation is (1.5, 15).

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The French club is sponsoring a bake sale. If their goal is to raise at least $135, how many pastries must they sell at $2.50 each in order to meet that goal? Write and solve an inequality.

Answers

Let x be the amount they must sell

X * 2.5 ≥ 135
X ≥ 54

The answer should be 135/2.50 = 1350/25 = (4*1350)/(4*25) = 5400/100 = 54

So answer will be 54 pastries

The coordinates of a point are (4, –1). which matrix expression represents translating the point 3 units to the left and 7 units up?

Answers

The point (4, -1) is represented as:

| 4 |
|    |
|-1 |

Please, understand that the three vertical | represent a continuous line, which is the matrix representation.

The traslataion of 3 units to the left and 7 units up means that you have to add the matrix:

|- 3|
|    |
|7 |

So the representation is:

|4 |          |-3 |       |1 |
|    |    +    |    | =    |    |
|-1 |          |7 |       |6 |

triangle abc is a right triangle. If AC = 4 and BC = 10, find AB. Leave your answer in simplest radical form.

Answers

The answer is 2 radical 21

The rectangle below has an area of x^2-15x+56 x 2 −15x+56 x, start superscript, 2, end superscript, minus, 15, x, plus, 56 square meters and a length of x-7x−7x, minus, 7 meters. what expression represents the width of the rectangle

Answers

The expression that represents the width of the rectangle is x - 8

Area of a rectangle:area = lw

l = length

w = width

area = x² + 15x + 56

length = x - 7

Therefore,

x² - 15x + 56 = (x - 7) w

divide both sides by x - 7

w = x² - 15x + 56 / x - 7

w = (x - 7)(x - 8) / x - 7

w = x - 8

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