$23,803 is invested, part at 8% and the rest at 5%. If the interest earned from the amount invested at 8% exceeds the interest earned from the amount invested at 5% by $357.89, how much is invested at each rate? (Round to two decimal places if necessary.)

Answer:

The Total number of people were surveyed is 1,350 people.

Step-by-step explanation:

Given as :

The total number of people who preferred walking = 540 people

The percentage of people who preferred walking to running = 40% of the total people

Let The Total number of people were surveyed = n people

Now, According to question

The total number of people who preferred walking = 40% of the total number of people were surveyed

Or, 40% of n = 540

Or, [tex]\dfrac{40}{100}[/tex] × n = 540

Or, n = [tex]\frac{540\times 100}{40}[/tex]

∴ n = 1350

So,Total number of people were surveyed = n = 1350 people

Hence,The Total number of people were surveyed is 1,350 people. Answer

Answer:

A(2.5,36.5)

D(6,36.5)

and

C(6,33)

Answer:

The unit rate is 250 calories per servings.

Step-by-step explanation:

Given:

The ice cream has 1250 calories for 5 servings.

Now, to find the unit rate.

So, by using unitary method:

If the 5 servings of ice cream has 1250 calories.

Then, to get the calories in 1 servings we divide number of calories by the number of servings:

= [tex]Number\ of\ calories \div number\ of\ servings[/tex]

[tex]=1250\ calories\div 5\ servings[/tex]

[tex]=250\ calories.[/tex]

Thus, in 1 servings there are 250 calories.

Therefore, the unit rate is 250 calories per servings.

Answer:

14

Step-by-step explanation:

If Jack puts 2 photos per page and there are 7 pages 2x7=14 or 2+2+2+2+2+2+2=14 on a number line it would jump two lines each time.

The number of photos that he uses to fill the photo album will be 14.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

It is also known as the product. If the object n is given to m times then we just simply multiply them.

Jack puts 2 photos on each of the 7 pages of his photo album.

Then the number of photos that he uses will be given by the multiplication of the numbers 2 and 7.

⇒ 2 x 7

⇒ 14

Thus, the number of photos that he uses will be 14.

More about the Algebra link is given below.

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Answer:

[tex]\frac{2A}{h} = b[/tex]

Step-by-step explanation:

2A = bh

[tex]\frac{2A}{h} = b[/tex]

so, the required form is : [tex]\frac{2A}{h} = b[/tex]

Answer:

Step-by-step explanation:

If x = 1;        x  + 3 = 1 + 3 = 4  (≠ 7)

If x = 2;       x  + 3 = 2 + 3 = 5  (≠ 7)

If x = 3;       x  + 3 = 3 + 3 = 6  (≠ 7)

If x = 4;       x  + 3 = 4 + 3 = 7  ( =7)

x + 3 = 7 is true when x = 4

Answer:

???

Step-by-step explanation:

Answer:

Step-by-step explanation:

2 times x   -------> 2x

The difference between 2 times x and y is 2x - y

The difference between 2 times x and y is less than or equal to 1:

2x - y<= 1

Answer:

B The sum of two constant factors six and three plus a variable

Step-by-step explanation:

Answer:

The arc is 3/10 of the circumference

Step-by-step explanation:

we know that

The complete circumference subtends a central angle of 2π radians

so

using proportion

Find out what fraction of the circumference represent an arc with a central angle of 3pi/5 radians

[tex]\frac{1}{2\pi}=\frac{x}{(3\pi/5)}\\\\x=\frac{(3\pi/5)}{2\pi}\\\\x=\frac{3}{10}[/tex]

Answer:

45.72 cm

Step-by-step explanation:

Given: Height of the Chinstrap Penguin= 68.58 cm

           Height of the Emperor penguin= 1.143 meter

Lets calculate the height of Emperor penguin in centimeter.

Remember, 1 meter = 100 centimeter

∴ Converting the unit of height of Emperor penguin.

[tex]1.143\times 100= 114.3\ cm[/tex]

∴ Height of Emperor penguin is 114.3 cm.

Now, comparing the height of Chinstrap penguin and Emperor penguin´s height.

[tex]114.3\ cm - 68.58\ cm= 45.72\ cm[/tex]

∴ The Emperor penguin is 45.72 cm taller than Chinstrap penguin.

Answer: 1.87500 or 15/8 simplified 1 7/8

Step-by-step explanation:

Answer:

1 7/8

Step-by-step explanation:

So you want to make 2 5/10 into a improper fraction which is 25/10. so 25/10*3/4 you need to do cross cancel but you can't cross cancel so the answer is just going to be 15/8 which is also 1 7/8 hope this helps ;))

Answer:

Here's what I get  

Step-by-step explanation:

Let's assume that the sandwiches are circular (because I couldn't find a good rectangular fraction maker.

Toni ate ¾ of a medium sandwich (Figure below).

Mary Jo ate ⁶/₈ of a medium sandwich.

Mary Jo ate the same amount as Toni, because ¾ = ⁶/₈

Becky ate ¾ of a small sandwich and Toni ate ¾ of a medium sandwich.

Becky ate less than Toni, because ¾ of a small amount is less than ¾ of a large amount.

Answer:

False, they are opposite angles

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

this is what i maked on my work

Answer:BC=11.77 mi

Step-by-step explanation:

cosα=5.71mi/AC

cos61°=5.71mi/AC

0.485=5.71mi/AC

AC=11.77mi

Answer:

BC=10.28

Step-by-step explanation:

Answer:

I think -4 and 1.25

Step-by-step explanation:

Answer: d = 12

Step-by-step explanation: First isolate d/3 by subtracting 10 from both sides of the equation. That gives you d/3 = 4.

From here, since d is being divided by 5, multiply both sides of the equation by 5 so d = 12.

Answer:

-8

Step-by-step explanation:

Perpendicular means negative reciprocal of the slope.

Negative reciprocal of 1/8 is -8.

The slope of a line that is perpendicular to y = 1/8x - 9 is -8. This is because perpendicular lines have slopes that are negative reciprocals of each other.

In Mathematics, particularly in algebra, the slope of a line is a measure of the steepness of the line. It's also a central part of the line's equation. In the equation you provided, y = 1/8x - 9, the slope of this line is 1/8.

The property of perpendicular lines is that their slopes are negative reciprocals of each other. The negative reciprocal of 1/8 is found by flipping the fraction to get 8/1 and changing the sign to get -8. Therefore, the slope of a line that is perpendicular to y = 1/8x - 9 is -8.

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Answer:

The equation of line is y = 3 x - 1 , i.e option A  .

The rate of change = m = 3

Step-by-step explanation:

Given as :

The points are

([tex]x_1[/tex],[tex]y_1[/tex] ) = (- 2, -7)

([tex]x_2[/tex],[tex]y_2[/tex] ) = (1 , 2)

Let The slope = m

Now, The slope is calculated in points form

So, Slope = [tex]\dfrac{y_2-y_1}{x_2-x_1}[/tex]

I.e m = [tex]\dfrac{2-(-7)}{1-(-2)}[/tex]

or, m = [tex]\dfrac{9}{3}[/tex]

I.e m = 3

So, The slope of points = m = 3

I,e Rate of change = m = 3

Now, the equation of line in slope - point form can be written as

y -[tex]y_1[/tex]  = m ( x -  [tex]x_1[/tex])

where m is the slope of line

i.e y - (-7) = ( 3 ) × ( x - (-2) )

or, y + 7 =  3 × (x + 2)

∴ y + 7 = 3 x + 6

Or, y = 3 x + 6 - 7

Or, y = 3 x - 1

So, The equation of line is y = 3 x - 1

Hence, The equation of line is y = 3 x - 1 , i.e option A  .

And The rate of change = m = 3   Answer

When multiplying (or dividing) both sides of an inequality by a negative number, the inequality symbol must be reversed/flipped, regardless of how many steps taken when solving the inequality.

If you were to multiply (or divide) by a positive number, then you would not have to reverse/flip the inequality symbol.

The question in the image is incomplete, so I cannot provide a true/false answer, but this information should be what you need to easily choose an answer.

Let me know if you need any clarifications and happy studying~

Answer:

False

Step-by-step explanation:

only flip symbol when dividing by a negative number

Answer:

Justin is 1 feet far away from Brandon

Step-by-step explanation:

As shown in the diagram, we let the distance between Justin and Brandon be x

[tex]Speed = \frac{distance}{time} [/tex]

from the question

the total time taken by the ball to reach Brandson=4s

Also the total distance is travelled by the ball=19+x

while the average speed=5ft/s

By substitution we obtain

[tex]5 = \frac{19 + x}{4} [/tex]

[tex] \implies4 \times 5 = 19 + x[/tex]

[tex]\implies20=19 + x[/tex]

[tex]\implies20 - 19 = x[/tex]

x=1 feet

The ball is 39 feet away from Justin. The ball, thrown by Sarah at 5 feet per second away from Justin, reaches Brandon in 4 seconds at a distance of 39 feet from Justin.

We need to understand the direction and speed of Sarah's throw relative to the distance between Sarah, Justin, and Brandon.

Sarah throws the ball away from Justin at a speed of 5 feet per second for 4 seconds. The formula to calculate the distance covered by the ball is:

The ball travels 20 feet away from Sarah. Since Sarah is already 19 feet away from Justin, we need to add this distance to determine how far the ball is from Justin:

Hence, the ball is 39 feet away from Justin when it reaches Brandon.

Answer:

x = 11 m

y = 2 m

Step-by-step explanation:

The given figure is parallelogram, with MP = 21 m, LP = (y + 3) m, NP = (3y – 1) m, and  OP = (2x – 1) m

It is property of parallelogram that, the diagonals bisect each other.

Thus, from above,

MP = OP  and  LP = PN

Thus,

[tex]2x-1 = 21[/tex]

[tex]2x = 22[/tex]

[tex]x = 11[/tex]

and,

[tex]y+3 = 3y-1[/tex]

[tex]2y = 4[/tex]

[tex]y = 2[/tex]

Thus, x = 11 m  and  y = 2 m

Answer:

D. x = 11 m, y = 2 m

Step-by-step explanation:

Answer:

[tex]\frac{9}{25}[/tex]

Step-by-step explanation:

Number of red balls = 4

Number of green balls = 6

Total number of balls = 6+4 =10

Probability of drawing a green marble is given as

⇒ [tex]\frac{Number\ of\ green\ balls}{Total\ number\ of\ balls}[/tex]

⇒ [tex]\frac{6}{10}[/tex]

The ball is replaced after drawing.

Probability of drawing a green ball a second time will be:

⇒ [tex]\frac{Number\ of\ green\ balls}{Total\ number\ of\ balls}[/tex]

⇒ [tex]\frac{6}{10}[/tex]

Thus, probability of drawing 2 green balls with replacement can be given as:

⇒  (Probability of drawing a green marble) [tex]\times[/tex] (Probability of drawing a green ball a second time)

⇒ [tex]\frac{6}{10}\times\frac{6}{10}[/tex]

⇒ [tex]\frac{36}{100}[/tex]

Simplifying fraction by dividing numerator and denominator by their GCF.

⇒ [tex]\frac{36\div 4}{100\div 4}[/tex]

⇒ [tex]\frac{9}{25}[/tex] (Answer)

Answer:The answer is Zero:(0)

Step-by-step explanation:

Answer:

y=0.067825

Step-by-step explanation:

Answer:

10-10=10+10 its the same it will increase and decrease the increased level

Answer:

x > 14

Step-by-step explanation:

10.5x > 147   (divide both sides by 10.5)

x > 147 / 10.5

x > 14

Inequalities help us to compare two unequal expressions. The solution to the inequality 10.5x > 147 is 14.

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed.

It is mostly denoted by the symbol <, >, ≤, and ≥.

The solution of the inequality can be solved as shown below,

[tex]10.5x > 147\\\\x>\dfrac{147}{10.5}\\\\x>14[/tex]

Thus, the solution to the inequality 10.5x > 147 is 14, which means the value of the x must be greater than 14.

Hence, the solution to the inequality 10.5x > 147 is 14.

Learn more about Inequality:

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Answer:

Sean earns $7.5 in each hour.

Step-by-step explanation:

Given:

Money earned by Sean = $300

Number of hours worked in a day = 8 hrs

Number of days of work  in a week = 5

We need to find Money earned in each hour.

First we will find Total hours work in a week.

Total hours work in a week is equal to Number of hours worked in a day multiplied by number of days work in a week.

Framing in equation form we get;

Total hours worked in a week = [tex]8\times5 = 40\ hrs[/tex]

Now we will find money earned for each hour.

Money earned each hour will be calculated by Dividing Total Money earned in a week by Total number of hours worked in a week.

Framing in equation form we get;

Money earned each hour = [tex]\frac{300}{40} = \$7.5[/tex]

Hence Sean earns $7.5 in each hour.

The expression to represent the sale price, in dollars, of the dress is x - 0.3x dollars

Given that dress that costs "x" dollars is on sale for 30% off

To find: expression to represent the sale price, in dollars, of the dress

Let the original price of dress is "x"

It is on sale for 30% offer. Which means 30 % of "x" is offer price

Sales price means the price of dress after offer

So the sales price is written as original price - offer price

Sales price = original price - offer price

Sales price = x - 30 % of x

On simplification we get,

[tex]\text {Sales price }=x-\frac{30}{100} \times x=x-0.3 x[/tex]

Thus the sales price of dress is x - 0.3x dollars

Using [tex](x-a)(x+a)=x^2-a^2[/tex] to obtain

[tex]4-(x^2-4)=4-x^2+4=8-x^2[/tex]

Hope this helps.

(5 - 5)x because it equals -5x+5x which is 0

all the others equal -5x +5

Answer:

(5-5)x

when you distribute the x here it becomes 5x-5x which is 0 this is the only problem that equals 0

The detailed answer explains how to simplify and solve the expression 8x + 3(x + 5) - 5(x - 4) = 2 step by step.

To find the equation equivalent to 8x + 3(x + 5) - 5(x - 4) = 2, we need to expand and simplify the expression step by step: