1. 15% of the toddlers in a preschool class drink water with their lunch. How many toddlers are in the class if 3 drink water with their lunch?
(a) Write a percent equation for the situation.
(b) Solve the problem. Show your work.
plz help tysm <3

Answers

Answer 1

Answer:

20

Step-by-step explanation:

Let t represent the number of toddlers in the class.  Then 15% of t = 3.

In other terms, 0.15t = 3, and t = 3/0.15 = 20.

There are 20 toddlers in the class.

Answer 2
Final answer:

A percent equation representing the problem is 0.15x = 3. Solving this equation reveals that there are 20 toddlers in the total class.

Explanation:

This problem can be solved by expressing the information given in mathematical form.

(a) Let's start by writing a percent equation to describe the situation. Let's assume that the total number of toddlers in the class is 'x'. You are told that 15% of 'x' (the toddlers) drink water with their lunch, which equals to 3 toddlers. In mathematical form, you can express this as: 0.15x = 3(b) Now, let's solve for 'x'. In order to isolate 'x', you would divide both sides of the equation by 0.15. Doing so gives us: x = 3 ÷ 0.15. This results in 'x' being equal to 20. Therefore, there are 20 toddlers in the class.

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Related Questions

which statement is true about the value of the expression below (-2^3)^-2

1. it is between 0 and 1.
2. it is greater than one
3. it is less than -1
4. it is between -1 and 0

Answers

-2^3 will be -8 (we know it certainly)

(-8)^-2 =( 1/(-8) )^2 then we know , when we have power 2 for parentheses,can ignore the negativity : 1/64 and we know 0<1/64<1

So 1 is correct!!

Answer:it is between 0 and 1

Step-by-step explanation:

Find -2/3 divided by 4/6
-1
4/9
-9/4
1

Answers

Answer:

-1

Step-by-step explanation:

The given expression is:

[tex]-\frac{2}{3}\div \frac{4}{6}[/tex]

We multiply by the reciprocal to get:

[tex]-\frac{2}{3}\times \frac{6}{4}[/tex]

We factor so that we can cancel easily:

[tex]-\frac{2}{3}\times \frac{3\times 2}{2\times 2}[/tex]

Cancel the common factors to get:

[tex]-\frac{1}1}\times \frac{1\times 2}{1\times 2}[/tex]

This simplifies to:

[tex]-1[/tex]

Answer:The final answer is 1.

Step-by-step explanation:

A flat screen television has a 50 inch diagonal and a height of 25 inches. How wide is the television rounded to the nearest tenth?

(Use the Pythagorean Theorem)

Answer
inches

Answers

Answer: 43.3 inches.

Step-by-step explanation:

According to the Pythagorean Theorem:

[tex]a^2=b^2+c^2[/tex]

Where "a" is the hypotenuse, and "b" and "c" are the legs of the right triangle.

Let be "c" the width of the television.

We can indentify in the figure that:

[tex]a=50in\\b=25in[/tex]

Then, we can substitute values and solve for "c":

[tex](50in)^2=(25in)^2+c^2\\\\c=\sqrt{(50in)^2-(25in)^2}\\\\c=43.30in[/tex]

Rounded to the nearest tenth:

[tex]c=43.3in[/tex]

Final answer:

The width of a flat screen television with a 50 inch diagonal and a 25 inch height is found to be approximately 43.3 inches when calculated using the Pythagorean Theorem.

Explanation:

To find the width of a flat screen television with a 50 inch diagonal and a height of 25 inches, we will apply the Pythagorean Theorem. The Pythagorean Theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. Here, the diagonal is the hypotenuse (c), the height is one leg (a), and the width is the other leg (b).

The Pythagorean Theorem is written as:

a2 + b2 = c2

Using the given measurements:

252 + b2 = 502

Solving for b, we have:

b2 = 502 - 252

b2 = 2500 - 625

b2 = 1875

b = √1875

b ≈ 43.3 inches (rounded to the nearest tenth)

Therefore, the width of the television is approximately 43.3 inches.

f(x)=2x and g(x)=2x+3,what is the value of f(g(-8))

Answers

Answer:

f(g(-8)) = -26

Step-by-step explanation:

Given:

f(x)=2x and g(x)=2x+3

Required:

f(g(-8))=?

Solution:

First we will find g(-8)

g(x) = 2x+3

g(-8)= 2(-8)+3

      = -16 + 3

      = -13.

so, g(-8) = -13

Now, for calculation f(g(-8)) we can put the value of g(-8) i.e, -13

so, f(x) = 2x

    f(-13)  = 2(-13)

             = -26

so, f(-13) = -26

and f(g(-8)) = -26

The beverage orders from school cafeteria are shown in the graph. If 760 students purchase a beveragehow many of the students chose water

Answers

according to the graph, 25% chose water, and

[tex]\bf \begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{25\% of 760}}{\left( \cfrac{25}{100} \right)760}\implies 190[/tex]

If BCDE is congruent to OPQR, then BE is congruent to

Answers

Answer:

OR

Step-by-step explanation:

Answer:

Step-by-step explanation:

In simple language, two things are said to be congruent if they overlap each other i.e they have same size and shape. Angles are said to be congruent if they have same measure. Sides are congruent if they have same length .

We say that two triangles are said to be congruent if there is one to one correspondence between their angles and side.

Here, it's given that BCDE is congruent to OPQR i.e there is one to one correspondence between their sides and angles i.e

[tex]B\leftrightarrow O\,,\,C\leftrightarrow P\,,\,D\leftrightarrow Q\,,\,E \leftrightarrow R[/tex]

So, BE is congruent to  OR .

Plz help me with this

Answers

Answer:  A) 2.26

Step-by-step explanation:

[tex]log_3(12) = \dfrac{log(12)}{log(3)}=\dfrac{1.079}{0.477}=\large\boxed{2.26}[/tex]

Maria, Kara, and Tommy order 1 pizza to share. Maria eats 1/4 of the pizza, Kara eats 1/8 of the pizza, and Tommy eats 3/8 of the pizza. How much of the pizza is left?​

Answers

Answer:

3/4

Step-by-step explanation:

So you give them all a common denominator of 8. This means Maria eats 2/8 of the pizza, Kara eats 1/8 of the pizza, and Tommy eats 3/8 of the pizza. When you add them you get 6/8 which simplified to 3/4.

Rena pushes the elevator button but the elevator does not move the mass limit for the elevator is 450 kg But Reena and her load of identical Packages mass A total of 620 KG each package has a mass of 37.4 KG

Answers

Answer:

1) 620- 37.4p≤450

2) 5

Step-by-step explanation:

Total weight of rena and packages = 620 kg

lift limitation= 450 kg

mass of each load= 37.4 kgs

As the mass limit for the elevator is 450 kg therefore the from the Total weight of rena and packages (620 kgs) rena needs to subtract weight of some number of packages (p x 37.4)

hence

620- 37.4p≤450

2)

Solving for minimum whole number of packages p, rena needs to remove to meet the elevator limitation:

620- 37.4p≤450

37.4p≤-450+620

37.4p≥170

p≥4.5

rounding off to whole number

p≥5 !

Solve the system using substitution. Show all work.
y = x - 5
3x - y = 7

Solve the system using the Linear Combination Method. Show all work.

2x + 2y = 12
3x + y = 2

SHOW ALL WORK AND STEPS Please. The Teacher will not grade fully and give a failing grade without showing steps and all work.

And Don't be a freaking troll as I will report you for trolling with short improper answers.

Answers

Here is the answer I hope it helps

consider the inequality-5(x+7)<-10 write an inequality representing the solution for x

Answers

Answer:

x > -5

Step-by-step explanation:

-5(x + 7) < -10            use the distributive property a(b + c) = ab + ac

(-5)(x) + (-5)(7) < -10

-5x - 35 < -10         add 35 to both sides

-5x < 25         change the signs

5x > - 25       divide both sides by 5

x > -5

A circle has a sector with area 3/2pi and central angle of 60 what is the area of the circle?

Answers

Answer:

The area of the circle is [tex]9\pi \ units^{2}[/tex]

Step-by-step explanation:

we know that

A circle has a sector with area [tex]3\pi/2[/tex]  and central angle of 60 degrees

The area of a complete circle subtends a central angle of [tex]360\°[/tex]

so

using proportion

Find the area of the circle

[tex]\frac{(3\pi/2)}{60} =\frac{x}{360}\\ \\x=(3\pi/2)*360/60\\ \\x=9\pi \ units^{2}[/tex]

Answer:

[tex]A = 9\pi[/tex]

Step-by-step explanation:

The total area of the circle is determine by simple rule of three:

[tex]A = \frac{360^{\textdegree}}{60^{\textdegree}} \cdot \left(\frac{3}{2}\pi\right)[/tex]

[tex]A = 9\pi[/tex]

Joan has a gym gift card worth $100. Each time she visits the gym. $12 is deducted from the amount remaining on the gift card. Which equation can be used to determine the amount of the money (m) , in dollars, remaining on the gift card after joan visits the gym d times

Answers

Final answer:

The equation to calculate the remaining money on Joan's gym gift card after d gym visits is m = 100 - 12d.

Explanation:

To determine the amount of money (m), in dollars, remaining on Joan's gym gift card after she visits the gym d times, you can use a simple linear equation.

Since she starts with $100 on the card, and each gym visit costs $12, you subtract $12 for each visit from the initial amount. The equation that represents this situation is m = 100 - 12d.

Here, d is the number of times she visits the gym, and m is the money remaining on the card.

would 20, 40, 30 form a right angle​

Answers

Yes because if you add forty and thirty that equals seventy plus twenty is 90 which is a right angle

Answer:

No

Step-by-step explanation:

It would not form a right triangle because if you square 20, 30, 40, and add 20^2 and 30^2 it would become 1,300, but 40^2 is 1,600 which does not make it a right triangle according to the Pythagorean Theorem.

Amber bought a condominium at a time when prices were at their highs. She paid $200,000. Since then, the market value has decrease by 5% per year. Write an exponential depreciation equation to model this situation. Approximately when will Amber's condominium be worth less than $140,000?

Answers

Answer:

$140,000(1 - .05)^t

Step-by-step explanation:

you have your total amount $140,000

it is decreased by 5% go behind the number and move two decimal points and you get .05

since is decreasing it would be 1 subtracted by ,05

$140,000(1 - .05)^t

"t" is the years it would be depreciated by

I do not see years but by knowledge i would say it is decreasing

Answer:

Since, the exponential decay function,

[tex]A=P(1-r)^t[/tex]

Where,

P = initial value,

r = rate per period,

t = number of periods,

Here, P = $ 200,000, r = 5% = 0.05,

Thus, the value of the condominium would be,

[tex]A=200000(1-0.05)^t=200000(0.95)^t[/tex]

Which is the required equation.

If A < 140,000

[tex]200000(0.95)^t < 140000[/tex]

By the graphing calculator.

[tex]t< 6.95364[/tex]

Hence, about after 7 years the condominium will be worth less than $140,000.

Use addition to solve the linear system of equations. Include all of your work in your final answer. 3x-y=6 and y=x-4

Answers

Answer:

x = 1, y = -3

Step-by-step explanation:

So, we have two equations to start with: 3x-y=6 and y = x-4, we want to resolve the equations by addition.

We sum up the left sides of the equations together and the right sides together, and simplify, we have:

3x - y + y = 6 + x - 4

3x = 2 + x ==> 2x = 2 ==> x = 1

To find y, we place the value of x in any of the two equations:

y = x - 4 = 1 - 4 = -3

You verify that the solution is valid by entering the values of x and y in the other equation:

3x - y = 6 becomes

3 (1) - (-3) = 6

3 + 3 = 6

Answer:

x = 1 and y = -3

Step-by-step explanation:

The given linear equations are,

3x - y = 6 and y = x - 4

To solve the system of equations

Let 3x - y = 6   -----(1)

y = x - 4

x - y = 4  ----(2)

(2) * -3 ⇒ -3x  + 3y = -4   ----(3)

(2) + (3) ⇒

3x - y = 6  

-3x  + 3y = -12

0   +2y = -6

y = -6/2 = -3

x - y = 4  

x = 4 + y = 4 + -3 = 1

x = 1 and y = -3

How many times greater is the value of the 2 in 270,413 than the value of the 2 in 419,427?

Answers

It is 4 down the value so just do tens hundreds,thousands

Answer: 10,000

Step-by-step explanation:

Help me asap!!!!!!! please!!!

Answers

Answer:

  see attachment

Step-by-step explanation:

The applicable property of exponents is ...

[tex]\sqrt[n]{x^m}=x^{\frac{m}{n}}[/tex]

The 4th selection uses this property directly. The 3rd selection uses the property

[tex](a^b)^c=a^{bc}[/tex]

to show that the cubes of the two expressions are equivalent. Since all the numbers involved are real numbers, this is equivalent to showing the expressions equivalent.

a recipe that makes 18 cookies calls for 3/4 cups of sugar. How much sugar is needed to make 2 dozen cookies using this recipe?​

Answers

Answer: 1.5

Step-by-step explanation:

Dozen means a lot. If 3/4 cups of sugar is needed,  3/ multiplied by 2 = 1.5

A scientist is performing an experiment with a certain type of mold which is spreading every quarter of an hour. The function below represents the area covered by the mold after t hours.

The area covered by mold ___ by ___ % ___.

first blank: decreases, increases
second blank: 104, 4, 17, 8
third blank: every 15 minutes, every hour, every 4 minutes, every 30 minutes

fill in each blank with one of the options. Thank you!!

Answers

Answer:

"The area covered by mold increases by 4 % every 15 minutes."

Step-by-step explanation:

Since the mold is "spreading", the area is obviously, increasing.

By how much???

We can look at the function. The increasing factor is (1.04). The increasing factor is the part OVER 1, we have 4 units OVER 1, so it is increasing by 4%.

Since, the mold is spreading every QUARTER OF AN HOUR, this means 1/4th of an hour.

An hour is 60 minutes, 1/4 of 60 = 15 minutes. Hence, it is increasing every 15 minutes.

To complete the statement:

The area covered by mold increases by 4 % every 15 minutes.

Answer:

i believe its every hour not 15 minutes

Step-by-step explanation:

What is the answer to
20.25 x 6

Answers

Answer:

The answer is 121.50

Step-by-step explanation:

Multiple 6 by the 20 first so you get 120

Then multiply 6 by the .25 and you get 1.5

So just add 120 with 1.5 and you get 121.50

Answer:

121.5

Step-by-step explanation:

Bad at explaining look at picture.

The median of the set of data below is 9.
4,9.9.9, 8, 7, 6, 1, 2
True
False​

Answers

Answer:

False

Step-by-step explanation:

Set the data in order.

1, 2, 4, 6, 7, 8, 9, 9, 9

Now try finding the middle of the data set by taking out the sides equally one by one.

1, 2, 4, 6, 7, 8, 9, 9, 9

  2, 4, 6, 7, 8, 9, 9

      4, 6, 7, 8, 9

          6, 7, 8

              7

7 is the median

Final answer:

The median of the data set [1, 2, 6, 7, 8, 9.4, 9.9, 9.9] is not 9.4, but instead is 7.5, which is calculated by getting the average of the two middle values, in this case, 7 and 8.

Explanation:

The given set of data is: [9.4, 9.9, 9.9, 8, 7, 6, 1, 2]. The first step is to put the data in numerical order, so we have [1, 2, 6, 7, 8, 9.4, 9.9, 9.9]. The median is the middle value in an ordered data set. Since this set has an even number of data values (8), the median is calculated as the average of the two middle values. Here, the middle values are 7 and 8. Therefore, to find the median, we add these two values together and divide by 2. Hence, 7 + 8 = 15, and 15 divided by 2 equals 7.5. Therefore, the median of this data set is 7.5, not 9.4.

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triangle ABC was transformed to create triangle DEF.

Answers

Answer:

The answer is B.

Step-by-step explanation:

You can see that the triangles are identical, so find the side that matches with BA and there you have it. The corresponding side is ED. I hope this helps!

Need help on how to do number 20

Answers

Answer:

J is correct

Step-by-step explanation:

You need to simplify top as

[tex](27m^{12}n^3 )(2m^2n^5p)=54m^14n^8p[/tex]

Then can easily see the correct answer is J.

Answer:

Step-by-step explanation:

What’s the side of 200cm in a square

Answers

To find the length of a side of a square fins the square root of the area.

Area = 200 cm^2

Side = √200

Side = 10√2 (Exact length)

or 14.142 cm's ( round the decimal answer as needed.)

please help me...
Problem:

The standard form of a circle is (x-h)2+(y-k)2=r2 and vertex form for the parabola, y-k=a(x-h)2. The (h,k) pair is the center of the circle and the vertex of the parabola. The radius of the circle is ‘r’ and the focal length of the parabola is f=1/(4a). For the following General Conic Equation: x2+y2-2x-4y-4=0 complete the following problems showing all your work:


A. Complete the square showing all your work to convert to Standard Form:


B. If this is a circle, state the coordinates of the center and give the radius. If this is a parabola, then state the coordinates of the vertex and give the focal length. Show all your work.


C. Sketch (or plot, or graph) the Conic. Label the point and values you found in part B. Also label the top-most, bottom-most, right-most, and left-most points on the circle or the focus and directrix on the parabola.

Answers

Answer:

Part A) [tex](x-1)^{2}+(y-2)^{2}=3^{2}[/tex]

Part B) The coordinates of the center are [tex](h,k)=(1,2)[/tex] and the radius is equal to [tex]r=3\ units[/tex]

Part C) The graph in the attached figure

Step-by-step explanation:

we have

[tex]x^{2} +y^{2}-2x-4y-4=0[/tex]

Part A) Convert to standard form

Group terms that contain the same variable, and move the constant to the opposite side of the equation

[tex](x^{2}-2x) +(y^{2}-4y)=4[/tex]

Complete the square twice. Remember to balance the equation by adding the same constants to each side

[tex](x^{2}-2x+1) +(y^{2}-4y+4)=4+1+4[/tex]

[tex](x^{2}-2x+1) +(y^{2}-4y+4)=9[/tex]

Rewrite as perfect squares

[tex](x-1)^{2}+(y-2)^{2}=3^{2}[/tex] ------> Is a circle

Part B) If this is a circle, state the coordinates of the center and give the radius.

we know that

The equation of the circle in standard form is equal to

[tex](x-h)^{2}+(y-k)^{2}=r^{2}[/tex]

where

(h,k) is the center

r is the radius

In this problem we have

[tex](x-1)^{2}+(y-2)^{2}=3^{2}[/tex]

therefore

The coordinates of the center are [tex](h,k)=(1,2)[/tex]

The radius is equal to [tex]r=3\ units[/tex]

Part C) Plot the circle

using a graphing tool

see the attached figure

Given the function f(x)=6|x-2|+3, for what values of x is f(x)=39?

Answers

Answer:

The values of x are -4 and 8

Step-by-step explanation:

39=6|x-2|+3  move the 39 and 6 to the opposite sides and simplify

-6|x-2|=-36   divide both side by -6  

|x-2|=6          separate it into the possible equations

x-2=6  so, x=8

or

x-2=-6  so, x=-4

simplify without the absolute value
|x+3| ; if x=2

Answers

After substituting x=2 into the expression |x+3|, we get |2+3| which simplifies directly to 5, with the absolute value being unnecessary since the result is positive.

To simplify the expression |x+3| without the absolute value when x=2, we substitute the value of x into the expression. The absolute value of a number refers to the non-negative value of that number without considering its sign. Since 2 + 3 equals 5, which is positive, the absolute value is not necessary, and we can simply write the expression without it.

Therefore, |2 + 3| simplifies to 5.

Joe's mom gave him $40 for cutting their grass. He used the money to buy a $10.75 game and snacks that cost $3.25 each. Joe also bought a bouquet of flowers for his mom. If Joe came home with 1/4 of the money his mom gave him, how much did the flowers cost

Answers

Answer:

The flowers costed $26 but that is only if he bought 1 snack. It says snacks as in more than one but it didn't specify how many so it depends lol

Step-by-step explanation:

Find the area of the triangle with a= 18.8, b= 11.6, c= 13.8. Round to the nearest tenth.

Answers

Answer:

B. 79.7 units^2

Step-by-step explanation:

got it right on edge :)

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