The sum of three consecutive even integers is 102. Find the largest of the three integers.

Instead of multiplying by 1.4, Sue should have multiplied by 1.04. Bill can decrease 160 by 6% by multiplying 160 by 0.94

Suppose the value of which a thing is expressed in percentage is "a'

Suppose the percent that considered thing is of "a" is b%

Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts and then we multiply it with b so that we collect b items per 100 items(that is exactly what b per cent means).

Thus, that thing in number is

[tex]\dfrac{a}{100} \times b[/tex]

So, firstly, Sue wanted to increase 160 by 4%

Increased value = 160 + 4% of 160

Now, 4% of 160 is calculated as:

[tex]\dfrac{160}{100} \times 4 = 160 \times 0.04[/tex]

Thus, we get:

[tex]\text{Increased value} = 160 + 160 \times 0.04 = 160(1 + 0.04) = 160 \times 1.04[/tex]

Thus, instead of multiplying by 1.4, Sue should have multiplied by 1.04

Now, Bill wants to decrease 160 by 6%

Decreased value = 160 - 6% of 160

Now, 6% of 160 is calculated as:

[tex]\dfrac{160}{100} \times 6 = 160 \times 0.06[/tex]

Thus, we get:

[tex]\text{Decreased value} = 160 - 160 \times 0.06 = 160(1 - 0.06) = 160 \times 0.94[/tex]

Thus, Bill can decrease 160 by 6% by multiplying 160 by 0.94

Thus, instead of multiplying by 1.4, Sue should have multiplied by 1.04. Bill can decrease 160 by 6% by multiplying 160 by 0.94

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The correct multiplier Sue should have used is 1.04 to increase 160 by 4%. To decrease 160 by 6%, Bill should use the multiplier 0.94.

a)She incorrectly multiplied 160 by 1.4. The correct multiplier should be 1.04.

To increase a number by a percentage, you first find the decimal equivalent of the percentage.
For 4%, it is 0.04.

Add this decimal to 1.
(1 + 0.04 = 1.04).

Now, multiply the original number (160) by 1.04.

Therefore, 160 x 1.04

= 166.4.

b) Bill wants to decrease 160 by 6%. To find the correct multiplier,

First, find the decimal equivalent of 6%, which is 0.06.

To decrease a number by this percentage, subtract the decimal from 1.

(1 - 0.06 = 0.94).

Now, multiply the original number (160) by 0.94.

Therefore, 160 x 0.94

= 150.4.

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

66 cm

Step-by-step explanation:

Diameter (d) = 21 cm

[tex]C = \pi \: d = \frac{22}{7} \times 21 = 22 \times 3 = 66 \: cm[/tex]

Answer:

66 cm

Step-by-step explanation:

Answer: 264

Step-by-step explanation:

Answer:

660

Step-by-step explanation:

66x100=6600

Divide 6600 by 10

=660

Answer:

63 votes

Step-by-step explanation:

10% of 70 is 7

70-7=63

Answer:

6 or 7 votes

Step-by-step explanation:

Answer:

∠A is supplementary to the exterior angle and ∠B measures 70°

Step-by-step explanation:I just answered this question and got it right.

The answer is A and D.

- got it right on edge

- have a good day :)

Answer:

The original price was $30

Step-by-step explanation:

Answer:

According to my calculations, the original price was $30.

Answer:

4 pints

Step-by-step explanation:

All we need to do is convert the amount of each fruit from quarts to pints and then add them up.

For Cherries:

She measured [tex]1\frac{2}{3}[/tex] quarts.

1 quart = 2 pints

=> [tex]1\frac{2}{3}[/tex] quarts = [tex]1 \frac{2}{3} * 2 = \frac{5}{3} * 2 = \frac{10}{3}[/tex] pints

For Peaches:

She measured [tex]\frac{1}{3}[/tex] quarts.

=> [tex]\frac{1}{3}[/tex] quarts = [tex]\frac{1}{3} * 2 = \frac{2}{3}[/tex] pints

Hence, the amount of fruits she measures altogether, in pints, is:

[tex]\frac{10}{3} + \frac{2}{3} = \frac{12}{3} = 4[/tex]

She measured 4 pints of fruit altogether.

Answer:

Neither, they both carry the same amount.

Step-by-step explanation:

We can solve this from just comparing the volumes of both boxes.

20 x 18 x 9 = 3240

18 x 18 x 10 = 3240

Both have the same volume, so they could carry the same amount.

Hope this helped! :)

Answer:

The volume of the pyramid on the left is greater by 8 inches.

The volume of the pyramid on the left is greater by 8 inches.

The answer is option A.

If the base of the pyramid is in the shape of a pentagon (base with 5 sides), then it is called a pentagonal pyramid. As the pentagon has 5 sides, then the pentagonal pyramid has the following properties: No. of Faces: (5+1)=6. No.of Vertices: (5+1)=6.

The pyramids of Giza, Egypt form the most common example of the three-dimensional pyramid geometric shape in real life. The Great Pyramid of Giza is one of the oldest and largest pyramids present in the world.

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Answer:

52

Step-by-step explanation:

52

Final answer:

The length of the female dust mite, 0.42 millimeters, is written in scientific notation as 4.2 × 10[tex]10^{-1}[/tex]millimeters.

Explanation:

To write the measurement of a female dust mite, which is 0.42 millimeter long, in scientific notation, we first identify the most significant digit and the decimal point. In scientific notation, numbers are typically written in the form of a single digit from 1 to 9, followed by a decimal point and the remaining significant digits, and then multiplied by 10 raised to the appropriate exponent.

The number 0.42 can be written as 4.2 times 10 to the power of negative one (because the decimal point has been moved one place to the right to place it after the first non-zero digit, 4).

So, in scientific notation, the length of a female dust mite is 4.2 × [tex]10^{-1}[/tex] millimeters.

Answer:

-2d^3 +3d^2 +3

Step-by-step explanation:

The biggest number you can take out of each term would be 11, so you divide each term individually by 11.

-22/11= -2

33/11=3

33/11=3

Then you keep the variables the same because you don't have a d in every term, therefore you cannot remove a d.

Answer:

StepThe answer is 36 14/125 feet

-by-step explanation:

Final answer:

The total vertical distance the ball has traveled when it hits the surface for the fifth time is 38 feet.

Explanation:

To find the total vertical distance the ball has traveled when it hits the surface for the fifth time, we need to analyze the sequence of bounces. Each bounce is 3/5 as high as the preceding one, meaning the height decreases by a factor of 3/5 each time.

If the starting height is 10 feet, the first bounce will reach a height of 10 * (3/5) = 6 feet. The second bounce will reach a height of 6 * (3/5) = 3.6 feet, and so on.

To find the total distance, we need to sum up the heights of all the bounces. This can be calculated using the formula for the sum of a geometric series:

Sum = a * (1 - r^n) / (1 - r), where a is the initial term, r is the common ratio, and n is the number of terms.

In this case, a = 10, r = 3/5, and n = 5. Plugging in the values into the formula, we get:

Sum = 10 * (1 - (3/5)^5) / (1 - 3/5) = 10 * (1 - 243/625) / (2/5) = 10 * (382/625) / (2/5) = 10 * (382/625) * (5/2) = 191 * 5 / 25 = 38 feet.

Answer:

SUE: (18-x)-5

TONY: (18+x) / [tex]\frac{1}{2}[/tex]

Sue has 18 sweets

Tony also has 18 sweets

Sue gives x sweets to Tony

Sue then eats 5 of her sweets

Tony then eats half of his sweets

(18-x)-5=(18+x)/ 1/2

x= -7.6

Final answer:

Using the order of operations, first calculate the value within the parentheses, perform the division, then proceed with the addition, and finally subtract to find that the solution to the expression 8+24 ÷ (2×6) - 4 is 6.

Explanation:

To address the problem 8+24 ÷ (2×6) - 4, the correct application of the order of operations, known as PEMDAS (Parentheses, Exponents, Multiplication and Division, Addition and Subtraction), is required.

First, handle the expressions inside the parentheses:

Therefore, the final answer to the expression is 6.

Answer:

last option

Step-by-step explanation:

at least two respective angle have same measure

Answer:

It is the last one

Step-by-step explanation:

edg 2021

Answer:

Option B is correct

It must be a positive number since it represents a number of hours.

Step-by-step explanation:

As per the statement:

Pieter wrote and solved an equation that models the number of hours it takes to dig a well to a level of 72 feet below sea level.

__________________________________________________________

Given the equation as:

Using distributive property,

Combine like terms;

Subtract 40 from both sides we have;

Divide both sides by -8 we have;

h = 14 hours

__________________________________________________________

Therefore, the statement is true about Pieter’s solution is, It must be a positive number since it represents a number of hours.

The statement true about Pieter's solution is that b. It must be a positive number since it represents a number of hours.

An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.

Given is an equation,

7h – 5(3h – 8) = –72

where h is the number of hours taken to dig a well to a level of 72 feet below sea level.

The solution of the given equation will give the value f h, which is the number of hours taken to dig the well to a depth of 72 feet.

We know that, time can never be a negative number. So the value of h must be positive.

So the correct option is It must be a positive number since it represents a number of hours.

Solution is,

7h – 5(3h – 8) = –72

7h - 15h + 40 = -72

-8h = -112

h = 14 hours

Hence the correct option is b.

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answer

1, 2, 3, 4 = 90 degrees

5 = 41 degrees

6 = 39 degrees

7, 9 = 51 degrees

8, 10 = 49 degrees

step-by-step explanation

since this is a kite, the lengths p and q (the diagonals of the kite) are perpendicular to each other, so angles 1, 2, 3, and 4 are all 90 degrees

to find angle 5, we know that the kite is symmetric across the horizontal diagonal, so angle 5 would be the same as 41 degrees

to find angle 6, we also look at symmetry, so angle 6 is the same of 39 degrees

to find angle 7, all three angles in a triangle, bottom left, must add up to 180. since we know angle 3 = 90 and angle 6 = 39, angle 7 = 180 - 90 - 39 = 51 degrees

because of symmetry, angle 9 would be equal to angle 7 = 51 degrees

to find angle 8, all three angles in a triangle, bottom right, must add up to 180. since we know angle 4 = 90 and angle 5 = 41, angle 8 = 180 - 90 - 41 = 49

because of symmetry, angle 10 would be equal to angle 8 = 49

Answer:

V≈339.29cm³

Step-by-step explanation:

Answer:

The volume of the cylinder is approximately [tex]\( 339.292 \)[/tex] cubic centimeters.

Explanation:

To find the volume [tex]\(V\)[/tex] of a cylinder, you can use the formula:

[tex]\[ V = \pi r^2 h \][/tex]

Where:

- [tex]\( \pi \)[/tex] (pi) is a mathematical constant approximately equal to 3.14159

- [tex]\( r \)[/tex] is the radius of the base of the cylinder

- [tex]\( h \)[/tex] is the height of the cylinder

Given that the diameter of the base is 6 cm, the radius [tex](\( r \))[/tex] is half of that, so [tex]\( r = \frac{6}{2} = 3 \)[/tex]  cm.

The height [tex](\( h \))[/tex] of the cylinder is given as 12 cm.

Now, plug the values into the formula:

[tex]\[ V = \pi (3)^2 \times 12 \][/tex]

[tex]\[ V = 9\pi \times 12 \][/tex]

[tex]\[ V = 108\pi \][/tex]

Now, if you need a numerical approximation, you can multiply 108 by the value of [tex]\( \pi \)[/tex]:

[tex]\[ V \approx 108 \times 3.14159 \][/tex]

[tex]\[ V \approx 339.292 \][/tex]

Answer:

C

Step-by-step explanation:

its not A for sure B and D dont make sense

Answer:

C

Step-by-step explanation:

Answer:

7 (2 + x ) ( 2 − x )

Answer: (0, 75)

Step-by-step explanation: This equation is written in slope-intercept form which is more commonly known as y = mx + b form where the multiplier or the coefficient of the x term represents the slope of the line and the b or the constant term represents the y-intercept of the line.

In this equation, we can see that the y-intercept is 75 but it's important to understand that the y-intercept is a coordinate point so I like to always write it as a coordinate point where the x value is going to be 0 and your b value is going to be your value on the y-axis. So we can write this as (0, 75).

Answer:

The answer is B.

Step-by-step explanation:

Alright!

To start this problem, we need to come up with equations that represent both of the Hosts' services

Key equation:

y = mx + b

x = the # of hours

Host A:

An initial $45 means this will be our constant

$16.25 per hour means it needs the variable x

Host A equation: y = 16.25x + 45

Host B:

An initial $51 means this will be our constant

$13.50 per hourmeans it needs the varible x

Host B equation : y = 13.50x + 51

To find the approximate number of hours (x) when both hosts charge the same amout, we must set their equations equal to each other.

16.25x + 45 = 13.50x + 51

Now, Solve!

16.25x = 13.50x + 51 - 45

16.25x = 13.50x + 6

16.25x - 13.50x = 6

2..75x = 6

now divide to find x!

x = 6 ÷ 2.75

x = 2.18

but we must round to the nearest tenth, so your final answer is

x = 2.2 hours!

Hope I helped! Comment if you have any questions about my solution :)

Slope intercept form: y = mx + b

We know the slope, so we need to use the given point in the generic slope intercept form and solve for b.

y = -3x + b

-2 = -3(5) + b

-2 = -15 + b

b = 13

y = -3x + 13

Hope this helps!! :)

Answer:

x = 0

y = 4

Step-by-step explanation:

Given

12x - 5y = -20

y = x + 4

Substitute x + 4 for y in the first equation

12x - 5(x + 4) = -20

Expand the bracket

12x -5 X x - 5 x 4 = -20

12x - 5x - 20 = -20

7x - 20 = -20

Add 20 to both sides to eliminate -20 on the left side

7x - 20 + 20 = -20 + 20

7x = 0

Divide both sides by 7 to isolate x

7x/7 = 0/7

x = 0

Substitute 0 for x in either equation to get y

Using equation 2, we have

y = x + 4

= 0 + 4

= 4

x = 0

y = 4

Answer:

0

Step-by-step explanation:

anything multiplied by zero is zero

Answer:

0

Step-by-step explanation:

17n

= 17(0)

= 0

When you multiply a number by zero, your answer is always going to be zero.

Hope this helps:)