A restaurant manager states the number of customers that enter the restaurant is equal to 4 times the number of people that buy a hotdog from the hotdog cart plus 9. The manager also states that the number of customers that enter their restaurant is equal to 3 times the number of people that buy a hotdog from the hotdog cart plus 35. What number of people buying a hotdog from the hotdog cart across the street makes the equation 4x+9=3x+35 true? Round your answer to the nearest whole number.

The probability of randomly selecting a hat from a costume closet of 8 dresses, 3 shirt , 5 pairs of pant and 4 hats is 1 / 5

probability = number of favourable outcomes / total number of the possible outcome

Therefore,

probability of randomly selecting a hat = number of hat / total number of possible outcome

Therefore,

number of hat = 4

total number of possible outcome = 8 + 3 + 5 + 4 = 20

Therefore,

probability of randomly selecting a hat = 4 / 20

probability of randomly selecting a hat = 1 / 5

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Answer:

-2

Step-by-step explanation:

-8 + 2 = -6; -6=3y; then -6 divided by 3 = -2

Answer:

5x + 6y

Hope it helps!

Answer:

-10xy

Step-by-step explanation:

Answer:

-10xy

Step-by-step explanation:

distributive property

5*-2=-10

-10xy

The positive solution of the quadratic equation [tex]\rm 0=-x^2+2x+1[/tex]  is x=2.41

It is given that the quadratic equation:

[tex]\rm 0=-x^2+2x+1[/tex]

It is required to find the solution to the above quadratic equation.

A quadratic equation is a second-degree algebraic equation represented by the:

[tex]\rm ax^2+bx+c=0[/tex]........(1)

Where a, b, and c are the constants and [tex]\rm a\neq 0[/tex]

We know that:

[tex]\rm x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

We have:

[tex]\rm 0=-x^2+2x+1\\\rm or \\\rm -x^2+2x+1=0[/tex] ..........(2)

After comparing (1) and (2) we get:

[tex]\rm a=-1, b=2, and \ c=1[/tex]

Put these values in the above formula we get:

[tex]\rm x=\frac{-2\pm \sqrt{2^2-(4)(-1)(1)}}{(2)(-1)}\\\rm x=\frac{-2\pm \sqrt{8}}{-2}\\\rm x=\frac{-2\pm 2\sqrt{2 }}{-2}\\\rm x={1\pm \sqrt{2}}[/tex]

[tex]\rm x=1+\sqrt{2} \ or \ x=1-\sqrt{2} \\\\\sqrt{2} = 1.41\\\rm so \ x= 1+1.41 \ or \ x= 1-1.41\\\rm x=2.41 or \ x=-0.41[/tex]

Thus, the positive solution of the quadratic equation is x=2.41

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Answer:

x= 2.41

Step-by-step explanation:

Answer:

f/6 - 20 = 34.75

f = -88.5

Step-by-step explanation:

-88.5/6 = -14.75

-14.75 - 20 = 34.75

Answer:

you forgot to distribute 2 into the -3

I'm going to assume you ment 8

Step-by-step explanation:

2(x-3)=5

2x-6=5

+6 to both sides

2x=11

÷2 both sides

x = 5.5

Answer:

30

Step-by-step explanation:

5z + 20 + 10 - 5z

= 5z - 5z+ 20 + 10

= 30

1)

[tex]m = \frac{y - y}{x - x} = \frac{55 - 59}{10 - 0} = \frac{ - 4}{10} = - \frac{2}{5} [/tex]

[tex]y = - \frac{2}{5} x + b[/tex]

Since the line passes through the point (0,59), the coordinates of this point satisfies the equation of y;

[tex]59 = - \frac{2}{5} (0) + b[/tex]

[tex]b = 59[/tex]

Final answer:

[tex]y = - \frac{2}{5} x + 59[/tex]

While guessing and checking is one way to do this problem, I will show you how to do it algebraically.

Let one side be A

Let the other side be B

2(A+B)=16

A*B=15

First equation because the perimeter is 16 and the second because the area is 15. Now solve the system of equations

A+B=8

A=8-B

Substitute into equation two

B(8-B)=15

-B^2+8b-15=0

B^2-8b+15=0

(B+3)(B+5)=0

B=3,5

A=5,3 respectively

From this we can see that one side is 5 meters long while the other side is three meters long.

Step-by-step explanation

Since we're looking at a rectangle, let's consider its perimeter and area formulas.

Perimeter: 2x + 2y (A rectangle has four sides, with two equal sides, so this is x + x + y + y simplified)

Area: (x)(y) (length x breadth so, x times y)

So we have two equations: 2x + 2y = 16 and x*y = 15. Solve simultaneously. Refer to the attached image.

Answer:

15

Step-by-step explanation:

The cards have 5 possible outcomes and the spinner has 3 possible outcomes. To find the sample size, you need to calculate the number of possibilities when drawing 1 card and landing on 1 side of the spinner. You can do this by multiplying the possible outcomes together.

5×3 = 15

Therefore, the sample size is 15.

Answer:

Option 1: 15

Step-by-step explanation:

Ricky is playing a game using 5 cards and a spinner

Card 1 , Card 2 , Card 3 , Card 4 , Card 5

and

㉦ Green, Red, Blue

Ricky picks a card and spins the spinner

The sample size outcome is:

{(1, G) (1, R) (1, B) (2, G) (2, R) (2, B) (3, G) (3, R) (3, B) (4, G) (4, R) (4, B) (5, G) (5, R) (5, B)}

Sample size is 15

Hello! The answer is 69.11

Step-by-step explanation:

This is the formula you use: Circumference = 2 * π * r

r = Radius, the radius is just half of the (22) diameter, so half of 22 is 11.

2 * π * 11 =  69.11

Answer:

To find the volume of a rectangular prism, multiply its 3 dimensions: length x width x height. The volume is expressed in cubic units.

Step-by-step explanation:

..

Answer:

YES

Step-by-step explanation:

To solve this inequality, you need to multiply both sides by -5.

When you multiply or divide both sides of an inequality by a negative number, you must flip the inequality symbol.

Answer: YES

The total balance of Greg account after he makes the monthly payment for July is $864.99.

Monthly payment is the payment which has to paid against the loan amount or the borrowed money calculated with interest rate.

It can be calculated with the following formula.

[tex]M=P\left(1-\dfrac{r}{1-(1+r)^{-nt}}\right)[/tex]

Here, (P) is the principal amount, (r) is the interest rate and (t) is time.

Greg has a credit card which requires a minimum monthly payment of 2.06% of the total balance.

His card has an apr of 11.45%, compounded monthly. At the beginning of May, Greg had a balance of $318.97 on his credit card.

In the Month of May he make payment of 46.96, 33.51, and 26.99. Greg had a balance of $318.97 on his credit card. The total balance after the end of may is,

[tex]P=46.96+33.51+26.99+318.97\\P=426.43[/tex]

The financial charge on this payment with Apr 11.45% is 4.07. Thus, the payment become 430.5.

The payment for the June 97.24, 112.57,72.45. The payment at the end of June is 719.56 and financial charge is 10.22.

The payment become 722.98. The payment for the June 41.14, 101.84. At the end of July 865.96.

The total balance of Greg account after he makes the monthly payment for July is $864.99.

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Answer:

b

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

Answer:

what is the question exactly

Step-by-step explanation:

Answer:

(Its so important to show pictures where pictures when they are needed lol)

Based on the y-values in the table, the exponential function appears to grow FASTER THAN then linear function.

Step-by-step explanation:

Picture below

Answer:

-$7.20

Step-by-step explanation:

-$2.40 x 3 = -$7.20

Answer:

around 433.1 cm

find the first shape's volume.

L x W x H method.

[tex]4 * 10 * 8 = 320cm[/tex]

Length is eight, height is 4, and width is 10.

Now, the 2nd shape.

The formula of finding a sphere with a radius of 3 is V = 4/3[tex]pi^3[/tex]

In that case, the answer should be an estimated 113.1

Add the two cm's together.

[tex]320 + 113.1 = 433.1[/tex]

Please note that this is rounded to tenths place and estimated.

Please mark brainliest. Thanks! :)

First of all we will divide the figure in two shapes. One is hemisphere and other is a cuboid.

Volume of hemisphere:

[tex] \boxed{ \tt \:v = \frac{2}{3} \pi {r}^{3} }[/tex]

Volume of cuboid:

[tex] \boxed{ \tt \: v = length \times breadth \times height}[/tex]

[tex]\red{ \rule{35pt}{2pt}} \orange{ \rule{35pt}{2pt}} \color{yellow}{ \rule{35pt} {2pt}} \green{ \rule{35pt} {2pt}} \blue{ \rule{35pt} {2pt}} \purple{ \rule{35pt} {2pt}}[/tex]

[tex] \sf \dashrightarrow \: v = \frac{2}{3} \times \frac{22}{7} \times {3}^{3} [/tex]

[tex] \sf \dashrightarrow \: v = \frac{2}{ \cancel3} \times \frac{22}{7} \times \cancel{27}[/tex]

[tex] \sf \dashrightarrow \: v = 2 \times \frac{22}{7} \times 9[/tex]

[tex] \sf \dashrightarrow \: v = \frac{396}{7} [/tex]

[tex] \sf \dashrightarrow \: v = 56.6 \: {cm}^{3} [/tex]

[tex] \bf \multimap \: v = 8 \times 10 \times 4[/tex]

[tex] \bf \multimap \: v = 80 \times 4[/tex]

[tex] \bf \multimap \: v = 320 \: {cm}^{3} [/tex]

[tex] \rm \leadsto \: total \: volume = 56.6 + 320 \: {cm}^{3} [/tex]

[tex] \rm \leadsto \: total \: volume = 376.6\: {cm}^{3} [/tex]

If we round to the nearest tenth the total volume is ᭄

[tex] \rm \twoheadrightarrow volume = 380 \: {cm}^{3} [/tex]

Answer:

Neither are monomials.

Step-by-step explanation:

Take a look at the root word of monomials.

Answer:

[tex]\sf 35 \%[/tex]

explanation:

[tex]\hookrightarrow \sf \dfrac{orange \ juice \ intake}{recommended \ mg} * 100[/tex]

[tex]\hookrightarrow \sf \dfrac{7*100}{2000} *100[/tex]

[tex]\hookrightarrow \sf 35 \%[/tex]

Answer:

Step-by-step explanation:

100x7=700

So you ate 700mg of Vitamin C by eating oranges 7 times in that day.

Now, lets figure out the percent part

700 n/100x2000

=35%

We didn't even have to round.

So hence, your answer is B.35%

Thanks!

Mark me brainliest!

Answer:

A

Step-by-step explanation:

Answer:

r ≈ 12.1

Step-by-step explanation:

from the diagram the radius r of the circle is GM and GE and

GA = r - 4

using Pythagoras' identity in right triangle AGM , then

9² + (r - 4)² = r² ← expand factor on left using FOIL

81 + r² - 8r + 16 = r² ( subtract r² from both sides )

97 - 8r = 0 ( subtract 97 from both sides )

- 8r = - 97 ( divide both sides by - 8 )

r = [tex]\frac{-97}{-8}[/tex] ≈ 12.1 ( to 1 dec. place )

Answer:

X= -3 or X=-9

Step-by-step explanation:

Answer: x = -3, x = -9

Step-by-step explanation: |x + 6| + 10 = 13

Firstly, subtract 10 from both sides:

|x + 6| = 3

Since it is an absolute value, separate it into two equations with either outcome:

x + 6 = 3

x + 6 = -3

Solve for x now.

x + 6 = 3

Subtract 6 from both sides:

x = -3

x + 6 = -3

Subtract 6 from both sides:

x = -9

Voila! Hope this helps.

Answer:

arc QS = 95°

Step-by-step explanation:

the inscribed angle QSR is half the measure of its intercepted arc RQ , then

arc RQ = 2 × 95° = 190°

the sum of the arcs in a circle = 360° , then

arc QS = 360° - arc SR - arc RQ = 360° - 75° - 190° = 95°

Answer:

2×2×13 = 52

or 2² × 13 = 52

it depends on how you want to present your answer

Answer:

There should be 5 lines of symmetry.

Step-by-step explanation:

Carla's draw only one line of symmetry but in a regular pentagon there should be 5 line of symmetry.

Here,

Carla was asked to draw all the lines of symmetry for a regular pentagon.

She drew the picture as shown.

We have to find Carla's mistake.

What is Regular Pentagon?

A regular pentagon is a pentagon that has 5 equal sides and 5 equal angles.

Now,

As shown in figure,

Carla's draw only one line of symmetry.

But in a regular pentagon there should be 5 line of symmetry.

Hence, There should be 5 line of symmetry.

Option 4 is true.

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Answer:

4300 [tex]\frac{67}{1000}[/tex]

Step-by-step explanation:

evaluate each part

4 × 1000 = 4000

3 × 100 = 300

6 ×[tex]\frac{1}{100}[/tex] = [tex]\frac{6}{100}[/tex] × [tex]\frac{10}{10}[/tex] = [tex]\frac{60}{1000}[/tex]

7 × [tex]\frac{1}{1000}[/tex] = [tex]\frac{7}{1000}[/tex]

Thus

4000 + 300 + [tex]\frac{60}{1000}[/tex] + [tex]\frac{7}{1000}[/tex]

= 4300 [tex]\frac{67}{1000}[/tex]

Answer:

The answer would be D

Step-by-step explanation:

Because  We multiplied 25 by 100, because there are 100 cents in a dollar, and we divided 2,500 by 5, because there are 5 cents in a nickel.

Answer:

0, 1

Step-by-step explanation:

Whole numbers do not include negatives !

Answer:

Step-by-step explanation:

Converse of alternate interior angles theorem:

This theorem states that if two lines are intersected by a transversal and the alternate interior angles are congruent, lines will be parallel.

Therefore, p║n.

Perpendicular transversal theorem:

By this theorem,

In a plane, if a line is perpendicular to one of two parallel lines, then it will be perpendicular to the other line.

Therefore, l ⊥ p.

Options selected in the blank spaces are correct.