How many solutions does the equation a+b+c+d=15 have?

In actuality, "absolute value" refers to thinking of all numbers as positive and removing all negative signs from front of them (or zero). Symbol for absolute value. -71<181<|9|<1-10| set of absolute values

Without taking into account direction, absolute value describes how far a number is from zero on the number line. A number's absolute value can never be negative. Look at some illustrations. 5 is the sum of its absolute values. There are 5 units between 5 and 0.

The non-negative value of a real number x, regardless of its sign, is its absolute value (or modulus), | x |. For instance, 5 has an absolute value of 5, and 5 has a value of 5.

The exact distance of an integer or number from zero on a number line is its absolute value. As a result, the absolute value is never negative and is always positive.

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Answer:

$34.20

Step-by-step explanation:

Since each pie is $12.50 but the assistant gets $1.10 for each pie, Johannes will get $11.40 for each pie sold.

We know that there were 3 pies sold so you must solve the equation below

11.40*3

The answer is $34.20

The student enrollment the previous year is 630 students.

Sine the percentage given is 10% decrease, us implies that the percentage for the previous year will be x

Based on the information given, this will be illustrated as:

x - (20% × x) = 504

x - 0.2x = 504

0.8x = 504.

Divide.

x = 504 / 0.8

x = 630

There were 630 students.

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The size of angle x in the isosceles triangle is:78°.

A triangle that has two sides that have congruent lengths is called an isosceles triangle. The base angles of the isosceles triangle are the angles that are opposite the congruent lengths, they are also equal to each other.

The triangle in the image below has two congruent sides, therefore, it is an isosceles triangle and the angles opposite its congruent sides will also be equal to each other.

Therefore:

x = 1/2(180 - 24)

x = 1/2(156)

x = 78°

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Answer:156

Step-by-step explanation:

The share Kyle sells worth $55000 and Kyle's gain amount is $5000

Given,

The share bought by Kyle of company XYZ = $50,000

The share price = $100

The  share price after an year = $110

We have to find the gain amount by Kyle when Kyle sells all his shares.

Here,

We can apply Unitary method;

100 ⇒ 110

50000 ⇒ x

Compute;

100x = 110 x 50000

x = (110 x 50000) / 100

x = 110 x 500

x = $55000

Now,

Kyle gains,

55000 - 50000 = $5000

That is,

The share Kyle sells worth $55000 and Kyle's gain amount is $5000

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It is a scalene triangle .

acc to our quesion-

all the sides of triangle are unequal

if all sides are unequal ,it is called scalene triangle.

hence,It is a scalene triangle .

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Answer:

x = 3.2

Step-by-step explanation:

[tex] \sf \frac{x}{2} = \frac{8}{5} \\ [/tex]

Use cross multiplication.

[tex] \sf5x = 8 \times 2 \\ \sf 5x = 16[/tex]

Divide both sides by 5.

[tex] \sf \: x = 3.2[/tex]

The probability that the part is between 10.8 and 12.8 cm is 0.0669.

What is a normal distribution?

Data near the mean are more likely to occur than data distant from the mean, according to the normal distribution, which is symmetric around the mean.

Here, we have

Mean = 16.3cm

Standard deviation = 2.5cm

We have to find the probability that the part is between 10.8 and 12.8 cm

Now,

we know that z = (x−μ)/σ

putting values in the normal distribution formula, we get

P( 10.8 < x < 12.8) = P( (10.8 - 16.3)/2.5 < z < (12.8 - 16.3)/2.5)

                            = P ( -2.2 < z < -1.4)

P( 10.8 < x < 12.8) = 0.0669, by normal distribution table

Hence, the probability that the part is between 10.8 and 12.8 cm is 0.0669.

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A total of 12 5/8 pages is not meant for advertisement

From the question, we have the following parameters

First section = 16 pages

Pages for advertisement = 3 and 3/8 pages

Rewrite the above parameters as

First section = 16 pages

Pages for advertisement = 3 3/8 pages

The number of pages that are not for adverts is then calculated as

Pages not for adverts = First section - Pages for advertisement

Substitute the known values in the above equation

So, we have the following equation

Pages not for adverts = 16 - 3 3/8

Evaluate the difference

Pages not for adverts = 12 5/8

Hence, the number of pages that are not for adverts is 12 5/8 pages

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The surface area of a cube with a side length of 10 cm is 600 [tex]cm^{2}[/tex].

Given:

The formula for finding the surface area of a cube is 6s2.

side length s = 10 cm.

Surface area of a cube =  6[tex]s^{2}[/tex] = 6*s*s

= 6 * 10 * 10

= 60 * 10

= 600 [tex]cm^{2}[/tex].

Therefore the surface area of a cube with a side length of 10 cm is 600 [tex]cm^{2}[/tex].

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The amount that Katy would have saved in her savings account in 2 years is $16, 000

Given that the interest on the savings account is not compounded, the amount that Katy would have saved in 2 years can be found by the formula:
= Principal x Interest Rate x Time

Principal = $100, 000

Interest rate = 8%

Time = 2 years

The amount that Katy would have saved is:

= Principal x Interest Rate x Time

= 100, 000 x 8% x 2

= $16, 000

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Answer:

5^4

Step-by-step explanation:

5^3x5

5x5x5x5

5^4

Hopes this helps please mark brainliest

The simplified form of the expression, 5³.5 will be 625.

In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.

It is given that the expression is, 5³.5

=5³.5

The base should remain constant and the exponents added when multiplying like bases. Keep the base constant when raising a base with power to another power, and multiply the exponents instead. Keep the base constant and deduct the exponents in the denominator and numerator when dividing like bases.

Apply the law of exponent as

xᵃ × xᵇ = xᵃ⁺ᵇ

=5³⁺¹

=5⁴

=5x5x5x5

=625

Thus, the simplified form of the expression, 5³.5 will be 625.

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Answer:

---------------------------

Answer:

Step-by-step explanation:

1) v + 8w = 4v, for v?

→ v + 8w = 4v

→ 8w = 4v - v

→ 8w = 3v

→ [ v = (8w)/3 ]

Thus, value is (8w)/3.

2) -m + 5n = -2, for n?

→ -m + 5n = -2

→ 5n = -2 + m

→ 5n = m - 2

→ [ n = (m - 2)/5 ]

Thus, value is (m - 2)/5.

Answer:

Assessment Practice 5. A science teacher has $225 to spend on lab equipment. He buys 4 posters with a guide to classifying rocks, for $19 each. Student rock collections cost $9 each. How many rock collections can he buy? Explain how you solve

Let

x -----> number of rock collections that he can buy

so

the algebraic expression that represents this situation is

Solve the inequality for x

subtract 76 both sides

Divide both sides by 9

therefore

The maximum number of rock collections that he can buy is 16

Step-by-step explanation:

The equation is 9x+76=225 and the number of rock collections he can buy is 17.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, a science teacher has $225 to spend on lab equipment.

Let the number of rocks collected be x.

He buys 4 posters with a guide to classifying rocks, for $19 each.

That is 19×4=76

Student rock collections cost $9 each.

Now, 9×x=9x

So, the equation is 9x+76=225

Subtract 76 on both the sides of equation, we get

9x=149

Divide 9 on both the sides of equation, we get

x=16.5

x≈17

Therefore, the number of rock collections he can buy is 17.

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Answer: 39

Step-by-step explanation:

it starts at 11 and adds 7 everytime, assuming its linear (meaning it has a constant rate of change) u would add 7 to 32 to get your 5th value

Answer: y = 39

Step-by-step explanation:

Since the line is linear, the y increases 7 every time x increases 1

Add 7 to 32 and it equals 39

The arc length of the segment it 6.28 meters

From the question, we have the following parameters:

Central angle, x = 72 degrees

Diameter, d = 10 centimeters

The radius of the circle can be calculated using

r = d/2

So, we have

r = 10/2

Evaluate

r = 5 cm

The exact arc length using the central angle measure is calculated as:

Arc length = x/360 * 2πr

Substitute the known values in the above equation

Arc length = 72/360 * 2π * 5

Evaluate

Arc length = 6.28

Hence, the exact arc length using the central angle measure is 6.28 meters

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Possible question

The diameter of the circle is 10 centimeters and the measure of is 72º. Find the length of arc

Round your calculations to the nearest tenth. Complete your work in the space provided.

Answer:

  (2/3)√15 wide by 10/3 tall, approx 2.582 by 3.333

Step-by-step explanation:

You want the dimensions of the largest rectangle that fits under the graph of y = 5 -x² above the x-axis.

The graph of y=5-x² is symmetrical about the y-axis, so the width of it will be x -(-x) = 2x and the height will be 5-x².

The area will be the product of the width and height:

  A = WH

  A = (2x)(5 -x²) = 10x -2x³

The area will be a maximum where the derivative of the area function is zero.

  dA/dx = 10 -6x² = 0

  x² = 10/6

  x = (√15)/3

The corresponding rectangle dimensions are ...

  width = 2x = (2/3)√15

  height = 5 -x² = 5 -5/3 = 10/3

The rectangle with largest area is (2/3)√15 wide by 10/3 tall.

The solution to x in the  equation is 1/3x + 2/9x =10 is 18

To solve for x we follow the step;

Step 1: Combine the equation multiple into single fraction

1/3x + 2/9x =10

[tex]\frac{x}{3}[/tex] +[tex]\frac{2x}{9}[/tex] =10

Step 2: Find the common denominator

[tex]\frac{3x}{9}[/tex] + [tex]\frac{2x}{9}[/tex] =10

Step 3: Add the fraction with common denominator

[tex]\frac{3x +2x}{9}[/tex]= 10

[tex]\frac{5x}{9}[/tex] =10

Step 4: Cross multiply

5x = 9(10)

5x = 90

Step 4: Divide both 5

[tex]\frac{5x}{5}[/tex] =[tex]\frac{90}{5}[/tex]

x= 18

Therefore, the solution for x in the equation is 18

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The function notation of the following are:

f(1) = 5

f(0) = 1

f(-3) = -11

f(8) = 33

Given:

x is the input.

the function is 4x+1

f(x) is the output.

we are asked to determine the values of the following :

a. f(1)

x = 1

so f(x) = 4x+1

f(1) = 4(1)+1

f(1) = 4+1

f(1)=5

b. f(0)

x = 0

so f(x) = 4x+1

f(0) = 4(0)+1

f(0) = 0+1

f(0)=1

c. f(-3)

x = -3

so f(x) = 4x+1

f(-3) = 4(-3)+1

f(1) = -12+1

f(1)= -11

d. f(8)

x = 8

so f(x) = 4x+1

f(8) = 4(8)+1

f(8) = 32+1

f(1)=33

Hence we get the required values.

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Answer:

-2x^2  - 43x - 343 - 2393/x-7

The coordinates of P is ( -1 , 0.5) .

What is section formula ?

  We can get a point's coordinates using the section formula when it divides a line segment externally or internally in a certain ratio. It is a useful tool for determining the coordinates of the point that divides the line segment in a particular ratio. The midpoint of a line segment can be found using this section formula, and it can also be used to derive the midpoint formula.

Here Using the section formula, if a point P(x,y) divides the line joining the points A[tex](x_1,y_1)[/tex] and B[tex](x_2,y_2)[/tex]  in the ratio of m:n then,

=>  (x,y) = [tex](\frac{mx_2+nx_1}{m+n} , \frac{my_2+ny_1}{m+n} )[/tex]

Here A[tex](x_1,y_1)[/tex] =( -3,2) and  B[tex](x_2,y_2)[/tex]  = (5,-4)  and m:n = 2:6

Then,

=> ( x,y ) = [tex](\frac{2(5)+6(-3)}{2+6} ,\frac{2(-4)+6(2)}{2+6})[/tex]

=> (x,y) = [tex](\frac{10-18}{8},\frac{-8+12}{8} )[/tex]

=> (x,y) = [tex](\frac{-8}{8} ,\frac{4}{8})[/tex]

=> (x,y) = (-1,0.5)

Hence the coordinates of P is (-1 , 0.5) .

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Answer:

The answer is C: 20 ÷ f

Step-by-step explanation:

Peter will take 47.5 minutes to clean the room.

In the question ,

it is given that ,

Peter and Parker are working for a cleaning crew ,

let the time taken by Parker to clean the room is = x minutes .

So ,according to the question ,

time taken by Peter to clean the room is = (x - 15) minutes .

Working together, they clean two rooms in 110 minutes

which is represented  , by the equation  ,

x + x - 15 = 110

2x = 110 + 15

2x = 125

x = 125/2

x = 62.5

Parker takes 62.5 minutes and Peter takes 47.5 minutes .

Therefore , Peter will take 47.5 minutes to clean the room .  

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Answer: 6 lbs per acre

Step-by-step explanation: just divide 36 by 6 and you get 6. To check your answer multiply 6 and 6. Then you get 36 and know your answer is right.

Based on the data on the income statement, the amount of the tax equals to $27,000.

Generally, a taxes refers to those mandatory contributions levied on individuals or corporations by a government entity either from local, regional, or national government.

Given that: EBIT = $547,000 Interest expense = $94,000 Net income = $426,000

EBT = EBIT - Interest expense

EBT = $547,000 - $94,000

EBT = $453,000

The tax reported in Income statement:

= EBT - Net income

= $453,000 - $426,000

= $27,000

In conclusion, the 2021 taxes reported on the income statement equals to $27,000.

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Answer:

1/5

Step-by-step explanation:

equation: 3/5-2/5=x

we can multiply the whole equation by 5 so that we can easily subtract the numbers

3-2=1

now we divide it by 5 so that we get our number in a fraction

after we divide we get 1/5

The estimate for the number of times Ryan should expect the spinner to land on 2 is 13.

From the information, the spanner has numbers labeled 1 - 6 and Ryan is going to spin the spinner 80 times.

It should be noted that the fraction for getting a 2 is 1 out of 6. This will be 1/6.

Therefore, when it's spinned 80 times, the expected number will be:

= 1/6 × 80

= 13

The number of times is 13.

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Complete question

A spanner has numbers labeled 1 - 6. Ryan is going to spin the spinner 80 times. Work out an estimate for the number of times he should expect the spinner to land on 2

Answer:

43, 45 are the numbers

Step-by-step explanation: