There are 10 meatball in the pan. Joey ate one-fifth of the meatball for lunch. He ate 1/2 for dinner. What fraction of the meatball did he eat in all?

Answer:

y = x + 1.8

Step-by-step explanation:

Answer: A=4πr2

I really hope this helped!!

Answer:

There's 9 nickels and no dimes

Step-by-step explanation:

the quarters equal $2.25

so there is at least 9 nickel's witch equals .45 cents add them and get $2.70 so

The system of equations to find the number of quarters, 9, dim, d, and nickels, n, that Gabby has are;

Since, the total value of quarters, dim, and nicke is; $2.70.

Since the number of nickels that she has is equal to the number of quarters plus the number of dimes; we have;

Since, Gabby has 20 coins in her pocket.

Therefore 2n = 20 from n = q + d

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Answer:

X is -5

y is 3

Step-by-step explanation:

Answer:

(a) 7 essays and 29 multiple questions

(b) Your friend is incorrect

Step-by-step explanation:

Represent multiple choice with M and essay with E.

So:

[tex]M + E= 36[/tex] --- Number of questions

[tex]2M + 6E = 100[/tex] --- Points

Solving (a): Number of question of each type.

Make E the subject of formula in [tex]M + E= 36[/tex]

[tex]E = 36 - M[/tex]

Substitute 36 - M for E in [tex]2M + 6E = 100[/tex]

[tex]2M + 6(36 - M) = 100[/tex]

[tex]2M + 216 - 6M = 100[/tex]

Collect Like Terms

[tex]2M - 6M = 100 - 216[/tex]

[tex]-4M = - 116[/tex]

Divide both sides by -4

[tex]M = \frac{-116}{-4}[/tex]

[tex]M = 29[/tex]

Substitute 29 for M in [tex]E = 36 - M[/tex]

[tex]E = 36 - 29[/tex]

[tex]E = 7[/tex]

Solving (b): Can the multiple questions worth 4 points each?

It is not possible.

See explanation.

If multiple question worth 4 points each, then

[tex]2M + 6E = 100[/tex] would be:

[tex]4M + xE = 100[/tex]

Where x represents the number of points for essay questions.

Substitute 7 for E and 29 for M.

[tex]4 * 29 + x * 7 = 100[/tex]

[tex]116 + 7x = 100[/tex]

Subtract 116 from both sides

[tex]116-116 + 7x = 100 -116[/tex]

[tex]7x = 100-116[/tex]

[tex]7x = -16[/tex]

Make x the subject

[tex]x = -\frac{16}{7}[/tex]

Since the essay question can not have worth negative points.

Then, it is impossible to have the multiple questions worth 4 points

Your friend is incorrect.

The test contained 29 multiple choice questions and 7 essay questions.

Let x represent the number of multiple questions and y represent the number of essay questions.

Given that there are a total of 36 questions, hence:

x + y = 36    (1)

Also, the test is worth a total of 100 points, hence:

2x + 6y = 100   (2)

Solving equation 1 and 2 simultaneously gives:

x = 29, y = 7

Therefore the test contained 29 multiple choice questions and 7 essay questions.

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Answer:

x^2 +2x-8

Step-by-step explanation:

Here, we want to write the quadratic polynomial given the sum of the root and the product

mathematically, we can have the factors as -2 And +4

So we have the equation as;

(x-2)(x + 4)

= x^2+ 2x - 8

Answer:

71 degrees

Step-by-step explanation:

The sum of the angles in a triangle is 180.

180 - 24 - 85 = 71.

The required measure of the remaining angle would be 71°

Triangle is defined as a basic polygonal shape of a triangle that has three sides and three interior angles. It is one of the fundamental shapes in geometry and is represented by the symbol. It has three connected vertices. Triangles can be divided into a variety of categories according to their sides and angles.

A triangle has angle measurements of 24º and 85° which is given in the question.

The linear pair of angles are adjacent angles the sum of their measures is 180°

∵ The two angles form a linear pair

∴ The sum of the two angles = 180°

Let the measure of the remaining angle would be x

⇒ 24° + 85°  + x = 180°

⇒ x = 180 - 24° - 85°

⇒ x = 71°.

Therefore, the required measure of the remaining angle would be 71°

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Answer:

hii hope it helps

Step-by-step explanation:

sorry for these pics

Answer:

The question is written kinda bad, so i take the next two assumptions:

The original line is:

y = 5*x + 23

And we want to find a perpendicular line that passes through the point (-40, 2012)

Suppose that we have a linear equation:

y = a*x + b

A perpendicular line to this one, will have a slope equal to -(1/a)

Then a random perpendicular line to the one above, is:

y = -(1/a)*x + c

In this case, we start with the line:

y = 5*x + 23

Then the family of perpendicular lines to this one, will be like:

y = (-1/5)*x + c

Where c can be any real number.

Now, we also want this line to pass through (-40, 2012)

This means that when x = -40, the value of y must be 2012

We could replace these values in our equation above and solve it for c.

2012 = -(1/5)*(-40) + c

2012 = 40/5 + c

2012 = 8 + c

2012 - 8 = c = 2004

Then the equation is:

y = -(1/5)*x + 2004.

Answer:

Steps below

Step-by-step explanation:

(3/x²)+ 2/x =1   (x ≠ 0)

(3/x²) + 2x/x² = 1

(3 + 2x) / x² = 1

3 + 2x = x²

x² - 2x - 3 = 0

(x + 1) (x - 3) =0

x = -1 or x = 3

Answer:

A). Scale factor = [tex]\frac{1}{4}[/tex]

B). Length of the unknown side = 2.75 feet

Step-by-step explanation:

Part A

Since, the large rectangle was scaled by a scale factor 'k' to form the smaller rectangle,

Scale factor = [tex]\frac{\text{Side length of the image}}{\text{Side length of the preimage}}[/tex]

                    = [tex]\frac{\text{Side length of the smaller rectangle}}{\text{Side length of the larger rectangle}}[/tex]

                    = [tex]\frac{4}{16}[/tex]

                    = [tex]\frac{1}{4}[/tex]

Part B

Scale factor = [tex]\frac{\text{Side length of the smaller rectangle}}{\text{Side length of the larger rectangle}}[/tex]

[tex]\frac{1}{4}=\frac{\text{Side length of the smaller rectangle}}{11}[/tex]

Therefore, side length of the unknown side = [tex]\frac{11}{4}[/tex] = 2.75 feet

Answer:

[tex]26x^6y^4[/tex]

Step-by-step explanation:

the volume is like

[tex]V = length\cdot width\cdot depth[/tex]

so we have

[tex]V= 4yx^5\cdot 3xy\cdot 2y^2\\\\V=(4\cdot 3\cdot 2)(y\cdot y \cdot y^2)(x^5 \cdot x)\\\\V = 24(y^4)(x^6)\\\\V=24x^6y^4[/tex]

Answer:

C-1/64

Step-by-step explanation:

(1/4)(1/4)(1/4)=1/64

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652.50

Step-by-step explanation:

1450 x .09 x 5 = 652.50

Answer:

c. 2n-6

Step-by-step explanation:

6 less than 2xSteve so 2n-6

Answer:

1/25

Step-by-step explanation:

1/25 is simplified, as 1 and 25 have no common factors.

(Unless you're saying 1/5 * 1/5?)

Fraction 1/25 is Already in its simplest form. It may be expressed in decimal form as 0.04

To simplify the fraction, we have to divide the numerator and denominator by their greatest common divisor (GCD).

Do the factorization of numerator and denominator

1 can be written as [tex]1\times1[/tex]

And 25 can be written as [tex]1\times5\times 5[/tex].

After factorization, we see that 1 is the greatest factor, which is common in both.

Divide the numerator and denominator by their greatest common divisor (1).

[tex]\dfrac{1 \div 1}{25\div1}[/tex]

[tex]=\dfrac{1}{25}[/tex]

Hence, 1/25 can not be further simplified.

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Answer:

24 square root of 5

Step-by-step explanation:

Do you need the steps?

Answer:

22.63

Step-by-step explanation:

direct method through calculator

Answer:

£450

Step-by-step explanation:

12%=£54

100%=?

we will criss cross it then 12%×?=100%×£54÷12

=£450

Answer:

3 y + g y

Step-by-step explanation:

The probability of picking a chocolate chip cookie is 1/3.

Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.

Given, A box contains 5 chocolate chip cookies, 4 sugar, and 6 oatmeal raisin.

N represents no. of.

So, N(S) = 5 + 4 + 6 = 15.

N(CC) = 5, N(SR) = 4 and N(OR) = 6.

∴  The probability of picking a chocolate chip cookie is = N(CC)/N(S).

= 5/15.

= 1/3.

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Answer:

whats the question?

Step-by-step explanation:

Answer:

Kayla is correct

Step-by-step explanation:

For a vertical line, the x-value is the same

This means there is no change in the x value

A slope is calculated by dividing by the change in x value

since in this case , we will be dividing by zero, it means that the value of our slope is going to be undefined

This means that Kayla is correct

Answer:

1) B=-12

2) 189.69

Step-by-step explanation:

Explanation 1: To find B, we have to replace the given points in the equation, that is , x=2 and y=1

[tex]3x+By+6=0\\3.2+B.1+6=0[/tex]

Then we solve for B.

[tex]6+B+6=0\\B+12=0\\B=-12\\[/tex]

Hence , B=-12

explanation 2: you have the following equation for the number of liters 3% milk:

[tex]0.03+0.1(200)-x=0.05(200)[/tex]

Solve the previous equation for x:

[tex]0.03x+20-x=10[/tex]

[tex]0.03-x=10-20\\-0.97x=-10\\x=10.31[/tex]

Hence , there are 10.31 liters of 3% milk  

Add the numbers of liters 10% butterfat is :

[tex]200-10.31=189.69 liters[/tex]

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Answer:

0

Step-by-step explanation:

y2-y1/x2-x1

3-3/4-19

0/-15

So its 0

Answer:

there are a total of 20 boys and 30 girls in the choir of 50 students

Step-by-step explanation:

Scale the ratio 2:3. so that the numbers on either side sum to 50 . 2+3=5 , and 50÷5=10 , so we scale our ratio by a factor of 10 . So there are a total of 20 boys and 30 girls in the choir of 50 students

Answer:

C. x = 50

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

the answer is $18.5

Step-by-step explanation:

30 + tax is $31.50

Answer:

$18.50

Step-by-step explanation:

Before Tax Price: $30

Sales Tax Rate: 5%

After Tax Price: $18.50

How can you find how much the sales tax is? Let's say you're buying a $100 item with a sales tax of 5%. Your math would be simply:

[cost of the item] x [percentage as a decimal] = [sales tax]

Answer:

Step-by-step explanation:

Answer:

Converting y = -2x +5 to point-slope form will be:

Step-by-step explanation:

We know that the slope-intercept form of the line equation is

y = mx+b

where

Given the equation

[tex]y = -2x +5[/tex]

comparing with the  slope-intercept form

Slope of the line = m = -2

The y-intercept b = 5

We know that the value of y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

Thus, the ordered pair or point representing the y-intercept will be:

Now, we have

Now, using the point-slope form of the line equation

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

where

substituting the values m = -2 and the point (x₁, y₁) = (0, 5)

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

[tex]y - 5 = -2(x-0)[/tex]

Therefore, converting y = -2x +5 to point-slope form will be: