Order the expressions from least to greatest.23 – 213221 +31

Answer:

C

Step-by-step explanation:

The equation for the dotted line is y=(-1/2)x, so therefore y<(-1/2)x must be the area under the dotted line.

The equation for the solid line is y=2x+3, so therefore y≥2x+3 must be the area above the solid line.

The section that is both under the dotted line and above the solid line is C.

Answer: 0.41

Step-by-step explanation:
To find the decimal point of a fraction, divide the numerator (the top half of the fraction) by the denominator (the bottom half of the fraction).

41 over 100 as a decimal point would be 41 divided by 100

Which produces the equivalent decimal, 0.41

P.S this is also how you find the percent of a number. To get the percent, move the decimal point 2 digits over (0.41 to 41.) and then add the percentage sign to the end of the number (41%)

0.41 = 41%

so 41 over 100 is 0.41, and 41 is also 41% of 100 (per cent means per 100)

Best of luck in 5th grade :)

Answer:

400 feet per minute

Step-by-step explanation:

Because it's feet per minute, you'll divide 10,000 by 25

400 feet per minute

hope this is good enough

The key phase that we see in our response is "Divide the numerator by the denominator" (option C).

A key phrase refers to a phrase that contains words that define the most important part of a text. A key phrase serves as a summary of a paragraph or larger text.

In this case, the key phrase would serve to establish what was the mathematical procedure that we carried out to solve a mathematical problem. According to the above, it can be inferred that the key phrase must contain the most precise information to describe this procedure.

Based on the above, the correct answer is "Divide the numerator by the denominator" because it exactly describes the procedure that was performed.

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The statements that are true about the equilateral triangle ABC are

Equilateral triangles are triangle in which all the sides are equal in length and the angles are congruent. The angles are 60 degree each.

The statement that are true about the equilateral triangle ABC are as follows:

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Answer:

30

Step-by-step explanation:

10 x 3 = 30

Answer:

30 centimeters squared

Step-by-step explanation:

The area of a parallelogram can be found by using the formula base x height. The base of this parallelogram is 10, and the height is 3. Therefore the area is 30 square centimeters.

Answer:

The answer to your question is given below

Step-by-step explanation:

Let 'a' and 'b' be the length of the first two sides of the triangle and let 'c' be the longest length of the triangle.

The following data were obtained from the question:

Length of a = 17 m

Length of b = 144 m

Length of c = 145

For the triangle to be a right-angled triangle, then it must certify the pythagoras theory which states that the square of the two sides in a right-angled triangle is equal to the square of the longest side.

Thus, we can prove that the triangle is a right-angled triangle as illustrated below:

a² + b² = c²

Length of a = 17 m

Length of b = 144 m

Length of c = 145

17² + 144² = 145²

289 + 20736 = 21025

21025 = 21025

From the above illustration, we can see clearly that the square of two sides of the triangle is equal to the square of the longest side. Therefore, the triangle is a right-angled triangle.

Answer:

answer:8a + 3b - 2a - b

=8a-2a+3b-b

=6a+2b or 2(3a+b) is your answer

Answer:

x=-20

Step-by-step explanation:

3x=-56-4

3x=-60

x=-20

Answer:

Step-by-step explanation:

r = 0.035

n = 12

t = 10

\(A = P(1+\frac{r}{n})^{nt} = 20,000(1+\frac{0.035}{12})^{(12)(10)} = 20,000(1+\frac{0.035}{12})^{120} \\\)

\(A = \$28,366.90\)

Answer:

the answer is 16.6 Pizzas

Step-by-step explanation:

16% of 40 is 6.4 that means she sold 6 full pizzas and 0.4 parts of one pizza

add that to 18 is 24.4 pizzas sold and 16.6 to go.

Answer:

0.69

Step-by-step explanation:

Using it's concept, it is found that the probability that the button is either pink or blue is:

\(p = \frac{26}{29}\)

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, we have that:

There are six times as many pink buttons as yellow books, hence:

z = 6x.

Considering the ratio of yellow buttons to blue buttons, we have that:

\(\frac{x}{y} = \frac{3}{8}\)

3y = 8x

\(y = \frac{8x}{3}\)

The total number of buttons is given by:

\(T = x + \frac{8x}{3} + 6x\)

\(T = \frac{29x}{3}\)

The number of pink or blue is given by:

\(y + z = \frac{8x}{3} + 6x = \frac{26x}{3}\)

Hence the probability is given by:

\(p = \frac{\frac{26x}{3}}{\frac{29x}{3}} = \frac{26}{29}\)

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The simplified expression is  d/ c⁴.

To simplify the expression cd³ c⁻⁵ x d⁻², we can combine the variables with the same base (c and d) by adding their exponents:

Using the property of exponents as

When multiplying two exponential expressions with the same base, you can add the exponents. This can be expressed as follows:

aᵇ x aⁿ= aᵇ⁺ⁿ

When dividing two exponential expressions with the same base, you can subtract the exponents. This can be expressed as follows:

aᵇ / aⁿ= aᵇ⁻ⁿ

So, cd³ c⁻⁵ x d⁻²

= c¹⁻⁵ x d³⁻²

= c⁻⁴ x d¹

= dc⁻⁴

Again from the property of exponents

a⁻ᵇ = 1/aᵇ

So,  dc⁻⁴

= d/ c⁴

Therefore, the simplified expression is  d/ c⁴.

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Answer:

x≅101.5

Step-by-step explanation:

(88×cot60° + x)tan 30°=88

(88/√3 + x)1/√3 = 88

88/3 + x/√3= 88

x/√3=176/3

x= 176×1.73/3

x= 101.49

x≅101.5

the value of x will be 101.61 units.

A triangle is said to be right-angled if one of its angles is exactly 90 degrees. The total of the other two angles is 90 degrees. Perpendicular and the triangle's base are the sides that make up the right angle. The longest of the three sides, the third side is known as the hypotenuse.

Given two right-angle triangles with the same height of 88 units

Let the adjacent side of a triangle with a leg angle of 60 be "h"

From the general formula of a tangent:

Tan A = opposite side/ adjacent side

For the triangle with a leg angle of 60

tan 60 = 88/h

√3 = 88/h

h = 88/√3

For the triangle with a leg angle of 30

tan 30  = 88/(x +h)

1/ √3 = 88(x + h)

x +h = 88 * √3

x = 88*√3 - 88/√3

x = 101.613

therefore, the value of x will be 101.61 units.

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Answer:

21/8

Step-by-step explanation:

because 3*7 is 21 over8

Answer:

Step-by-step explanation:

Your problem → 3 x ^7/8

3x^7 /8

 = 3* x^7 /8

= 3x^7 /8

 There is no  any common factor

The length of a 45° arc with a radius of 4 miles is approximately 3.14 miles, calculated using the formula for arc length.

To determine the length of a 45° arc given a radius of 4 miles, we can use the formula: Arc length = (angle measure / 360°) x 2πr, where r is the radius of the circle and π is a constant equal to approximately 3.14.

Substituting the given values into the formula, we get: Arc length = (45° / 360°) x 2π(4 mi)Arc length = (1/8) x 2π(4 mi)Arc length = (1/8) x 8π Arc length = π

The length of the 45° arc is approximately 3.14 miles.

Summary: To find the length of a 45° arc of a circle, we use the formula: Arc length = (angle measure / 360°) x 2πr. Given a radius of 4 miles, we can substitute the values into the formula to get the length of the 45° arc, which is approximately 3.14 miles.

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Answer:

for the first 9000 $ tax rate is 10%

so tax = 10% of 9000 = 900

rest of the amount = 35000-9000 =26000

tax rate is 16%

tax on 26000 =  16% of 26000 = 3900

total tax Debra has to pay for last year = 900 + 3900 = $4800

Step-by-step explanation:

Answer:

900+3900=$4800

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Answer:

parallel is like a road and perpendicular is like an x where the lines cross eachother

Step-by-step explanation:

my knocwlegde lol sorry if wron but im pretty confident its right

Answer:

parallel of lines, planes, surfaces, or objects) side by side and having the same distance continuously between them.

perpendicular of an angle of 90° to a given line, plane, or surface.

Answer: 3:1

Step-by-step explanation:

Given:

Rosie and dan share some sweets.

Dan gets ¼ of sweets

To find:

Write down the ratio of the number of sweets Rosie to the number of sweets Dan gets

the ratio of the number of sweets Rosie gets to the number of sweets Dan gets is → 3 : 1.

Answer: 12,300

Step-by-step explanation: So you first locate the hinders a place. Then you look at the numbers behind it. If it is less than under 49 then you keep it at the hundred unit that it is at. In this case 300. That’s how you get it! Sorry I’m bad at explaining.

The given graph shows that the function is periodic and fluctuates between y = -2 and y = 2. So, the range of the function is [-2,2].

The graph covers one period, which is from x = -3 to x = 3, and then repeats itself indefinitely in both directions. So, the domain of the function is (-∞, ∞).

In general, the domain of a function consists of all the possible input values that the function can take. In this case, since the function repeats itself indefinitely, it can take any input value from negative infinity to positive infinity.

So, the domain is (-∞, ∞). The range of a function, on the other hand, consists of all the possible output values that the function can produce.

In this case, the function oscillates between y = -2 and y = 2, so the range is [-2,2]. The interval notation for the domain is (-∞, ∞) and for the range is [-2,2].

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The solution to the inequality expression (6 + x)/2 < (x + 8)/3 is (c) x < -2

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

(6 + x)/2 < (x + 8)/3

Cross multiply the inequality expression

So, we have the following representation

3(6 + x) < 2(x + 8)

Evaluate the products to open the brackets

18 + 3x < 2x + 16

So, we have

3x - 2x < 16 - 18

Evaluate the difference

x < -2

Hence, the solution to the inequality is (c) x < -2

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The required distance from the corner to each end of the bracket is 5.7 inches.

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

Since the distance from the corner to each end is equal.

So ABC make an isosceles right triangle, where

AB = x inches

AC = x inches

BC = 8 inches

According to the Pythagoras theorem, we have

AB² + AC² = BC²

x² + x² = 8²

2x² = 64

x² = 64/2

x² = 32

x = √32

x = 5.668

Round to the nearest tenth, and we get

x = 5.7

Thus, the distance from the corner to each end is 5.7 inches.

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Answer:

Width = 10ft

Length = 12ft

Step-by-step explanation:

For a rectangle of length L and width W, the area is calculated as:

A = L*W

In this case, we know that:

The area is 120 ft^2.

The length is 2 ft more than the width.

Then we can write:

L = W + 2ft.

If we use these two equations and replace them in the equation for the area of a rectangle, we get:

A = 120ft^2 = W*L = W*(W + 2ft)

120ft^2 = W*(W + 2ft)

Now we can solve this for W

120 ft^2 = W^2 + 2ft*W

Now we can rewrite this as:

W^2 + 2ft*W - 120ft^2 = 0

The solutions of this equation can be found by the Bhaskara's formula.

We know that for an equation of the form:

a*x^2 + b*x + c = 0

The two solutions are given by:

\(x = \frac{-b +\sqrt{b^2 - 4*a*c} }{2*a}\)

in our case, we have:

a = 1

b = 2ft

c = -120ft^2

Then the solutions for the equation W^2 + 2ft*W - 120ft^2 = 0 are:

\(W = \frac{-2ft + -\sqrt{(2ft)^2 - 4*1*(-120ft^2)} }{2*1} = \frac{-2ft +- 22ft}{2}\)

Then the two solutions are:

W = (-2ft - 22ft)/2 = -12ft  (this is a negative measure, does not have a real meaning in this case, so this solution can be discarded)

The other solution is:

W = (-2ft + 22ft)/2 = 10ft  (this is the correct solution)

Then the width is 10ft, and we know that the length is 2 ft longer than the width, then the length is:

L  = W + 2ft = 10ft + 2ft = 12ft

The dairy farmer should use 1330 pounds of the 70% protein supplement and 570 pounds of the 20% protein ratio to make a 1900-pound high-grade 55% protein ration.

To determine the amounts of the 70% protein supplement and the 20% protein ratio needed to make a 1900-pound high-grade 55% protein ration, we can set up a system of equations.

Let's assume x represents the pounds of the 70% protein supplement and y represents the pounds of the 20% protein ratio.

The total weight equation is given by:

x + y = 1900

The protein content equation is given by:

(0.70x + 0.20y) / 1900 = 0.55

Simplifying the second equation, we get:

0.70x + 0.20y = 0.55 × 1900

0.70x + 0.20y = 1045

Now, we can solve this system of equations to find the values of x and y.

Rearrange the first equation to solve for x:

x = 1900 - y

Substitute this expression for x in the second equation:

0.70(1900 - y) + 0.20y = 1045

1330 - 0.70y + 0.20y = 1045

1330 - 0.50y = 1045

-0.50y = 1045 - 1330

-0.50y = -285

y = -285 / -0.50

y = 570

Now substitute this value of y back into the first equation to find x:

x + 570 = 1900

x = 1900 - 570

x = 1330

Therefore, the dairy farmer should use 1330 pounds of the 70% protein supplement and 570 pounds of the 20% protein ratio to make a 1900-pound high-grade 55% protein ratio.

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The area of the quarter with a diameter of 2 ⁴/₅ inches will be 6.15 square inches.

Let r be the sector's radius and be the angle subtended by the sector at its center. The region of the circle's sector will then be written as,

A = (θ/360°) πr²

A quarter has a diameter of 2 ⁴/₅ inches.

Transform the mixed fraction number into a decimal number.

2 ⁴/₅ = 2 + 0.80 = 2.8

In the quarter sector, the central angle is 90°.

A = (90°/360°) x 3.14 x (2.8)²

A = 6.15 square inches

The area of the quarter with a diameter of 2 ⁴/₅ inches will be 6.15 square inches.

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AC is not equal to CE based on the angle bisector theorem. The answer is: C. NO, you cannot use the angle bisector theorem to determine that AC = CE.

According to the angle bisector theorem, when a line segment divides an angle of a triangle, the line segment also divides the opposite side but does so in such a way that the two segments are proportional to the other two sides of the triangle. However, the two segments are not congruent to each other.

In the diagram given below that shows the suspect, the police officer, and the 26th Street toward Cherry Street, the angle bisector divides the side opposite to the angle divided into AC and CE. Thus, their length cannot be ascertain to be congruent to each other, however, based on the angle bisector theorem, we can only prove that their length is proportional to the other two sides of the triangle.

Therefore, we can conclude as saying:

C. NO, you cannot use the angle bisector theorem to determine that AC = CE.

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The construction worker will be able to repaint 6 walls with 4 ½ gallons of paint. Option C

To determine how many walls the construction worker will be able to repaint with 4 ½ gallons of paint, we need to divide the total amount of paint by the amount required per wall.

The worker has 4 ½ gallons of paint, which can be written as 4 + 1/2 gallons.

Each wall requires 3/4 gallon of paint.

To find the number of walls that can be repainted, we divide the total amount of paint by the amount required per wall:

Number of walls = (Total amount of paint) / (Amount required per wall)

Plugging in the values, we have:

Number of walls = (4 + 1/2) gallons / (3/4 gallon)

To simplify the division, we can convert the mixed number 4 1/2 to an improper fraction:

Number of walls = (9/2) gallons / (3/4 gallon)

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction:

Number of walls = (9/2) gallons * (4/3 gallon)

Simplifying the multiplication:

Number of walls = (9 * 4) / (2 * 3) = 36/6 = 6

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