I NEED HELP

Manny and Emma are both competing in a long jump competition at there school. Manny can jump three fifths of the distance that Emma can jump. Manny can jump 21 inches how far can Emma jump.


21.6

20.4

35

12.6

Answer:

15.79% is the percent increase in price

Step-by-step explanation:

As per the given statement: In January the price of a kilogram of brand X rice was $7.60.

⇒ Price of  brand X in January =  $7.60

Also, it is given that in May the price of a kilogram of Brand X rice became $8.80.

⇒ Price of brand X in May = $8.80

Increase in price = $8.80 - $7.60 = $1.20

To find the percent increase in price;

[tex]Percent increase in price =\frac{Increase in price}{Price of X in January} \times 100[/tex]

                                         = [tex]\frac{1.20}{7.60} \times 100 = 15.79\%[/tex]

Therefore, the percent increase in price approx. is, 15.79%

The price of a kilogram of brand X rice increased by approximately 15.79% from January ($7.60) to May ($8.80).

To find the percent increase in price of the brand X rice from January to May, we first calculate the difference in price and then divide it by the original price.

After that, we multiply the result by 100 to get the percentage.

The original price in January was $7.60, and the new price in May was $8.80.

The difference in price is $8.80 - $7.60 = $1.20.

Now we divide the difference by the original price: $1.20 / $7.60 = 0.1579.

To find the percent increase, we multiply this number by 100: 0.1579 x 100 = 15.79%.

So, the price of a kilogram of brand X rice increased by approximately 15.79% from January to May.

A function in mathematics is a mapping where each input has exactly one output. A mapping is not a function if any input in the mapping maps to multiple outputs.

In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. So a mapping is not a function if any input maps to multiple outputs.

For instance, if we have a mapping {a -> 1, b -> 2, c -> 1}, it is a function because even if 'a' and 'c' have the same output '1', it's okay because each individual input ('a', 'b', 'c') relates to exactly one output. But if we have a mapping {a -> 1, a -> 2}, this is not a function because 'a' maps to two different outputs ('1' and '2').

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Answer:

A

Step-by-step explanation:

We can find the surface area of the object by adding the surface areas of each part. We have many rectangle faces to count and two triangular faces. Each has a formula for the area. We will find the area of each and then add them all together.

Triangle - 0.5 *b*h

Rectangle - b*h

Triangles

There are two triangles on either side. The height is 1.5. The base is 1.8.

0.5(1.5)(1.8)=1.35 meters squared

Since there are two, we will add 1.35+1.35 in our final calculation.

Rectangles

We will start by calculating the largest rectangle on the side. It has height of 4 and a base of 2.5 (shown above left).

4(2.5)=10

Since there are two (one we can see and one we can't), we will add 10+10 in our final calculation.

Next we calculate the top and bottom. The height is 3 and the base is 2.5 on top. But the bottom sticks out more and adds 1.8 to its base.

Top - 3(2.5)=7.5

Bottom-3(2.5+1.8)=12.9

Finally, we will calculate the front side and back(not visible) as well as the slant up front. The back side has height 4 and base 3. The front side has base 3 and height 4-1.5=2.5. The slant has base 2.3 and height 3.

Back - 4(3)=12

Front- 3(2.5)=7.5

Slant - 3(2.3)=6.9

We add all together for the total surface area: 1.35+1.35+10+10+7.5+12.9+12+7.5+6.9=69.5 meters squared.

Answer:

y = -3

x = -2

Step-by-step explanation:

2x - y = 17

y = x - 10

Adding these 2 equations:-

2x + y - y = 17 + x - 10

2x = x + 7

x = 7  

Now substitute for x  in the first equation:-

2(7)  - y = 17

14 - 17 = y

y = -3   (answer)

Last equation:-

x + 3y = 16

4x - 5y = -38

Now multiply first equation by 5 and the second by 3:-

5x + 15y = 80

12x - 15y = -114   Adding:-

17x = -34

x = -2  (answer)

y = -3x +2

The y-intercept is at +2, so that is the value of the added constant (b).

The line goes down 3 units for each unit to the right, so the slope (m) is ...

... m = ∆y/∆x = -3/1 = -3

Then in the form ...

... y = mx + b

with m=-3 and b=2, your line's equation is ...

... y = -3x +2

Answer:

8,600 acres are old-growth trees.

Step-by-step explanation:

You can find this by multiplying the percentage by the overall number of acres

20% * 43,000 = 8,600

Answer:

There are 86 acres of old-growth trees.

Step-by-step explanation:

In order to answer the question, we need to calculate the 0.2% of 43,000.

We can calculate this stating that exists a linear relationship between the percentage and the amount of acres. We also need to state that 43,000 acres are the 100% of the acres.

Therefore, we can write the following equation to calculate the percentage :

[tex]\frac{43,000}{100}=\frac{x}{0.2}[/tex]

If we solve the equation in terms of ''x'' :

[tex]x=(\frac{43,000}{100}).(0.2)=86[/tex]

[tex]x=86[/tex]

We find that if 43,000 acres are the 100% of the acres ⇒ The 0.2% of the acres are 86 acres (in which there are old-growth trees).

Answer:

Option B is correct.

[tex]f(t) = 88(1.025)^t[/tex] represents the population of the pack of wolves after t years

Step-by-step explanation:

The exponential growth function is given by;

[tex]f(t) = a(1+r)^t[/tex]               ......[1]

where

a represented the initial value

r represents the rate(in decimal)

t represents the time in years

As per the given statement: The population of a pack of wolves is 88. Also, the population is expected to grow at a rate of 2.5% each year.

⇒ a = 88 and  r =2.5% = 0.025.

Substituting these values in equation [1], we have;

[tex]f(t) = 88(1+0.025)^t[/tex]

or

[tex]f(t) = 88(1.025)^t[/tex]

Therefore, the population model of the pack of wolves after t years is given by:  [tex]f(t) = 88(1.025)^t[/tex]

Final answer:

The correct function equation that represents the population of the pack of wolves after t years is f(t) =[tex]88(1.025)^t[/tex]

Explanation:

The population of a pack of wolves can be represented by an exponential function equation. In this case, the population is expected to grow at a rate of 2.5% each year.

The correct function equation that represents the population of the pack of wolves after t years is f(t) = [tex]88(1.025)^t[/tex]

This equation takes the initial population of 88 and multiplies it by 1.025 raised to the power of t, which represents the number of years.

Answer:

The data is skewed, and the lowest number of crackers in a package was 7

Step-by-step explanation:

Hi,

First of all, since the question was incomplete due to the missing capture of the range shown on the box plot. I attached it for you so I could answer your question as well.

Taking into consideration the attached image's information, symmetric would be right down the middle, but it is not.

The image shows that it is positively skewed with the lowest number being 7.

Answer:

c

Step-by-step explanation:

did it on edge

Total number of evening dresses, sundresses, cocktail dresses are 9 , 7, 10 respectively.

An equation is a mathematical statement which equate two algebraic expressions. An equation has an equal to (=) sign in between the expression.

Let the number of evening dresses produced be x , sundresses produced   be y and cocktail dresses produced  be z.

According to the problem,

∴ We can write 3x + y + 2z = 54........(1)

Again, according to the problem,

∴ We can write 2x + 1.5y + z = 38.5........(2)

Again,

∴  We can write, 5x + 3y + 2.5z = 91......(3)

We have to solve the three equations.

From equation (1) we can write , y = 54 - 3x - 2z

Putting the value of y in equation (2), we get,

   2x + 1.5(54- 3x - 2z) + z = 38.5

⇒ 2x + 81 - 4.5x - 3z + z = 38.5

⇒ 2z + 2.5x = 42.5.....(4)

Again, putting the value of y from equation (1) in equation (3), we get,

5x + 3(54- 3x - 2z) + 2.5z = 91

⇒ 5x + 162 - 9x - 6z + 2.5z = 91

⇒ 4x +3.5z = 71

⇒ x = (71 - 3.5z)/4

Putting the value of x in equation (4)

2z + 2.5{(71 - 3.5z)/4} = 42.5

⇒ 8z + 177.5 - 8.75z = 170

⇒ -0.75z = -7.5

⇒ z= 10

Again putting the value of z in equation (4)

x = (71 - 35)/4 = 9

Putting the value of x and z in equation (1)

y = 54 - 27 - 20

⇒ y = 7

Number of evening dress = 9

Number of sundresses = 7

Number of cocktail dresses= 10

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In that week, the employees produced 7 evening gowns, 7 sundresses, and 9 cocktail dresses in total.

Given equations:

[tex]\[3x + y + 2z = 54\] (1)[/tex]

[tex]\[2x + 1.5y + z = 38.5\] (2)[/tex]

[tex]\[5x + 3y + 2.5z = 91\] (3)[/tex]

We'll use the method of elimination to solve this system of equations.

Step 1: Multiply equation (2) by 2 to eliminate [tex]\(z\):[/tex]

[tex]\[4x + 3y + 2z = 77\] (4)[/tex]

Step 2: Subtract equation (1) from equation (4) to eliminate [tex]\(x\):[/tex]

[tex]\[(4x + 3y + 2z) - (3x + y + 2z) = 77 - 54\][/tex]

[tex]\[x + 2y = 23\] (5)[/tex]

Step 3: Multiply equation (1) by 2 and subtract equation (2) from it to eliminate [tex]\(y\):[/tex]

[tex]\[6x + 2y + 4z - (2x + 1.5y + z) = 108 - 38.5\][/tex]

[tex]\[4x + 3z = 69.5\] (6)[/tex]

Step 4: Multiply equation (5) by 2 and subtract equation (6) from it to solve for [tex]\(x\):[/tex]

[tex]\[2(x + 2y) - (4x + 3z) = 46 - 69.5\][/tex]

[tex]\[2x + 4y - 4x - 3z = -23.5\][/tex]

[tex]\[4y - 3z = -23.5\] (7)[/tex]

Step 5: Now, let's multiply equation (7) by 3 and add it to equation (6) to solve for [tex]\(z\):[/tex]

[tex]\[3(4y - 3z) + 4x + 3z = -23.5\][/tex]

[tex]\[12y - 9z + 4x + 3z = -23.5\][/tex]

[tex]\[4x + 12y - 6z = -23.5\] (8)[/tex]

[tex]\[4x + 3z = 69.5\] (6)[/tex]

Now, add equations (8) and (6):

[tex]\[4x + 12y - 6z + 4x + 3z = -23.5 + 69.5\][/tex]

[tex]\[8x + 12y - 3z = 46\][/tex]

Step 6: Plug in the values of [tex]\(x\) and \(z\)[/tex] into equation (6) to solve for [tex]\(y\):[/tex]

[tex]\[8x + 12y - 3(69.5 - 4x) = 46\][/tex]

[tex]\[8x + 12y - 208.5 + 12x = 46\][/tex]

[tex]\[20x + 12y = 254.5\][/tex]

[tex]\[20x = 254.5 - 12y\][/tex]

[tex]\[x = \frac{254.5 - 12y}{20}\] (9)[/tex]

Step 7: Substitute the value of [tex]\(x\)[/tex] from equation (9) into equation (5) to solve for [tex]\(y\):[/tex]

[tex]\[\frac{254.5 - 12y}{20} + 2y = 23\][/tex]

[tex]\[254.5 - 12y + 40y = 460\][/tex]

[tex]\[28y = 205.5\][/tex]

[tex]\[y = \frac{205.5}{28}\][/tex]

y ≈ [tex]7.34[/tex]

Step 8: Substitute the values of[tex]\(x\) and \(y\)[/tex] into equation (1) to solve for [tex]\(z\):[/tex]

[tex]\[3x + y + 2z = 54\][/tex]

[tex]\[3(\frac{254.5 - 12y}{20}) + y + 2z = 54\][/tex]

[tex]\[3(\frac{254.5 - 12(7.34)}{20}) + 7.34 + 2z = 54\][/tex]

z ≈ 8.72

Since we can't produce a fraction of a dress, we'll round [tex]\(y\)[/tex] down to 7 and [tex]\(z\)[/tex]up to 9.

So, the employees produced approximately:

- 7 evening gowns

- 7 sundresses

- 9 cocktail dresses

Complete Question:

Answer:

$450 is the original price

Step-by-step explanation:

We can create a proportion to find the sale on the original price. A proportion is an equation where two ratios are set equal to each other. We create two fractions using the prices and percents. It is marked down by 30% so we pay 70% of the original. The sale price is $315.

[tex]\frac{70}{100} =\frac{315}{x}[/tex]

We begin solving by cross multiplying numerator to denominator of each fraction.

[tex]70(x)=100(315)\\70x=31500\\\frac{70x}{70}=\frac{31500}{70}  \\450=x[/tex]

The number of text messages sent by Juan in a month is 34.

For the given question;

Total bill charged to Juan's cell by phone company is $52.

phone service = $35.

text message charge = $0.50 each.

The total cost for message is 52 - 35 = $17.

The number of messages = total message cost/ charge of each message

The number of messages = 17 / 0.5

The number of messages = 34

Thus, the number of text messages sent by Juan in a month is 34.

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Answer:

If Kevin can ride 13/2 kilometers in 3/5 of an hour then he can ride 13/6 in 1/5 of an hour. If you multiply 1/5 of an hour by 5 you would get an hour which would also be 5x the distance as 13/6. Kevin can bike 65/6 or 10 and 5/6 kilometers in an hour.

Answer:

$200 will be price of 2 pairs

Step-by-step explanation:

It is given that the price of one pant is $80

The second is given at half price which is $40

but in the case of pants buying or anything buying when we are given an off then after buying an item the same discount is given for all

so as he bought one pant then the other pant will be given at half price

now the third pant will also be given at half price i.e: $40

fourth price will also be given at $40

so four pants will become 2 pairs

price of 2 pairs = $80+$40+$40+$40

                         =$200

Points A, B, and C are equidistant from point M, so lie on a circle centered at M. That makes BC a diameter, and it means that inscribed angle BAC intercepts an arc of 180°.

The measure of the inscribed angle is half the measure of the arc, so ∠BAC is 90° and ΔABC is a right triangle.

Final answer:

Given that the median AM of triangle ∆ABC is half the length of BC, by showing that triangles ADM and BMC are congruent with the right angle at A, we prove that ∆ABC is a right triangle because the median to the hypotenuse is half its length.

Explanation:

Given that the median AM of triangle ∆ABC is half the length of side BC, to prove that triangle ∆ABC is a right triangle, we can use the properties of triangles and the definition of a median.

Let's denote the midpoint of BC as D such that AD is the median and AD = DB = DC since AM is half of BC and M coincides with D.

Now, consider triangles ADM and BMC. They are right triangles because AD and DM are perpendicular to BC (definition of a median from a vertex to the midpoint of the opposite side). In ∆ADM and ∆BMC, we have AD = DB and DM is common.

Hence, triangles ADM and BMC are congruent by the Side-Side-Side (SSS) criterion. This implies that AM = MB and angle AMD (or AMB) is a right angle.

Since AM is also the median, for it to be equal in length to MB (half of BC), the only way this is geometrically possible is for triangle ABC to be a right triangle with the right angle at A. This is because the median to the hypotenuse of a right triangle is always half the length of the hypotenuse, which in this case is side BC.

Therefore, triangle ∆ABC must be a right triangle.

Answer:

90%

Step-by-step explanation:

We are told that 9/10 of alien races think invading Earth is a bad idea.

To find the percent of alien races that think invading Earth is a bad idea we will have to find 9 is what percent of 10.

[tex]\text{The percentage of alien races that think invading Earth is a bad idea}=\frac{9}{10}\times 100[/tex]

[tex]\text{The percentage of alien races that think invading Earth is a bad idea}=9\times 10[/tex]

[tex]\text{The percentage of alien races that think invading Earth is a bad idea}=90[/tex]

Therefore, 90% of alien races think invading Earth is a bad idea.

90%

Step-by-step explanation:

mark me branilest

Answer:

Too much caramel.

Step-by-step explanation:

First is "given", but we don't have to worry about that

Second is "subtraction property" because we subtract 2/3 from both sides

Third is "subtraction property" for similar reasons as before, but we subtract 3x from both sides

Fourth is "division property" because we divide both sides by -1. Note how the inequality sign flips. This is because we divide both sides by a negative number.

The last would be something along the lines of "simplify" or "reduce"

[tex]y=\dfrac{1}{2}x+2\\\\for\ x=0\to y=\dfrac{1}{2}(0)+2=0+2=2\to(0;\ 2)\\\\for\ x=2\to y=\dfrac{1}{2}(2)+2=1+2=3\to(2;\ 3)\\\\y=2x-1\\\\for\ x=0\to y=2(0)-1=0-1=-1\to(0;\ -1)\\\\for\ x=2\to y=2(2)-1=4-1=3\to(2;\ 3)\\\\Look\ at\ the\ picture.\\\\Answer:\ (2;\ 3)\to x=2;\ y=3.[/tex]

Answer: [tex]\bold{(A): g=\dfrac{\sqrt{15}}{2},\quad h=\dfrac{\sqrt{5}}{2}}[/tex]

Step-by-step explanation:

This is a special triangle because the side lengths have the following relationship:

30° ⇄ side length "a"        represented as "h" in your picture

60° ⇄ side length "a√3"   represented as "g" in your picture

90° ⇄ side length "2a"     represented as "√5" in your picture

Step 1: solve for "a"    hypotenuse (2a) is given as √5

[tex]2a=\sqrt{5}[/tex]

 [tex]a=\dfrac{\sqrt{5}}{2}[/tex]

According to your picture, a = h, so [tex]h=\dfrac{\sqrt{5}}{2}[/tex]

Step 2: use the a-value from Step 1 to solve for the remaining side

[tex]g=a\sqrt{3}[/tex]

   [tex]=\bigg( \dfrac{\sqrt{5}}{2}\bigg)\sqrt{3}[/tex]

   [tex]=\dfrac{\sqrt{15}}{2}[/tex]

Answer: 12 inches

Step-by-step explanation: First you add multiply then subctrtrac.t

The size of the squares cut from each corner of the cardboard is 3 inches to create an open box with a bottom area of 60 square inches.

We need to compute the size of the squares cut from each corner of the cardboard to create an open box with a bottom area of 60 square inches. We begin with a rectangular piece of cardboard measuring 12 inches by 16 inches.

Let x be the length of the sides of the squares that are removed. When the squares are cut out and the sides are folded up, the new dimensions of the bottom of the box will be (12 - 2x) inches by (16 - 2x) inches. Thus the area of the bottom will be:

Expanding the left side of the equation:

Combine like terms and set the equation equal to zero:

Divide all terms by 4 to simplify:

Factor the quadratic equation:

Setting each factor equal to zero gives us the possible values for x:

Since the cardboard's dimensions are only 12 inches by 16 inches, x cannot be 11, because it would not leave any base for the box. Therefore, x must be 3 inches.

Hence, the lengths of the sides of the squares removed from each corner are 3 inches.

Answer:

the linear function is y = x +3

A is correct option.

Step-by-step explanation:

The slope intercept form of a line is given by y = mx +b, where b is the y-intercept and m is the slope.

For y-intercept, x =0

From the given table, at x = 0, f(x)=3

Therefore, y-intercept, b= 3

Hence, the equation is in the form y = mx+3

Now, use the point (1,4) to find m

4 = m(1)+3

4 = m +3

m = 1

Therefore, the linear function is y = x +3

A is correct option.

Answer: Total payments = $153,120

               Interest paid = $64,120

Step-by-step explanation:

$638 x 12 months x 20 years = $152,120

 Paid:       $152,120

Borrowed: $89,000

Difference: $64,120

Answer:

5.497787144 miles

Step-by-step explanation:

Remember that circumference of a circle can be calculated with:

[tex]2\pi r[/tex]

r=radius

We also know that the radius is just a half of the diameter.

So, the radius of the track is (1/2)/2=1/4 miles

Now, use the circumference of a circle formula to find how much she runs in 1 lap.

[tex]2\pi (\frac{1}{4} )[/tex]

Simplify

[tex]\frac{\pi }{2}[/tex]

This is how much she runs in 1 lap.

Multiply by 3.5 for 3 and a half laps.

[tex]\frac{\pi }{2}*3.5[/tex]

The answer is around 5.497787144 miles.

Answer:

choice A

Step-by-step explanation:

Closed circles on the end of  the number line means we include it in our inequality  (has an equals)

-3 <= x <= 1

Answer:

The answer is A.

Step-by-step explanation:

Answer:

I'm not quite sure but I believe he sold 39 Boxes for $3.50 a box.

Step-by-step explanation:

-You would divide 702 by 18 Since he puts them in boxes of 18.

702/18= 39

-Then you would divide $136.50 by 39

136.5/39= 3.5

Which means each box was $3.50 a piece

Tyler sold 39 boxes of cookies, with the price of each box is $3.5

Further explanation

Given:

Tyler baked 702 cookies

He sold them in boxes of 18 cookies

Tyler earned $136.50

Question:

How many boxes of cookies did Tyler sell?

to find out how many boxes of cookies he sold we are going to divide the total cookies he made with the number of cookies in each box

[tex]\boxed {= \frac{702}{18} = 39 }[/tex]

so there were 39 boxes of cookies. He sold all of them and earned $136.50. Price per box would be:

[tex]\boxed {\frac{136.50}{39} = 3.5 }[/tex]

With total earned $136.50, Tyler sold 39 boxes of cookies at $3.5/box

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Keywords: mixed fraction, fraction, division, division big numbers, math word problem, multiplication

In the described insurance policy, 80% of the first $20,000 is covered, which is $16,000. The remaining amount from the total cost of $72,000 is $52,000, of which 60%, or $31,200, is covered. Therefore, the total amount paid by the insurance policy is $47,200.

The subject is dealing with a situation of an insurance coverage. The insurance policy pays 80% from the first $20,000 and 60% from the remaining amount of the medical bill. If the total amount of the medical bill is $72,000, we have to find out how much would the policy pay.

So, the insurance policy will pay $47,200 towards a total medical bill cost of $72,000.

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Answer:

1.  lim x→0  7e^x  =7

2.  lim f(x) does not exist

f(3) = 5

3.  1/12

Step-by-step explanation:

f(x) = 7e^x

lim x→0  7e^x  =7

AS we can see from the graph  it is around 7

We know that e^0 =1  so 7*1 =7

2.  The limit does not exists, because approaching the limit from the left f(3-) is 3.  Approaching the limit from the right f(3+) is 5.  f(3) = 5  since there is a closed circle at 3 with a value of 5.

3.  f(x) = x^ 1/2

We take the derivative

f'(x) = 1/2 x^ (-1/2)

    = 1/2 1/( x^.5)

To find it at x=36

     =  1/2 * 1/( 36^.5)

    = 1/2 * 1/6

   = 1/12

Since they are not equal, the limit does not exist.