Gary ordered 30 pizzas for a party. 60% of the pizzas have 12 slices each. The remaining 40% of the pizzas have 10 slices each. Complete the model. Then complete the statements to find the total number of slices of pizza

Answer:

C. 8(1)=8(−4+3/8x)

Step-by-step explanation:

Given equation

1=−4+3/8x

in this equation in denominator we have 8x,

since we are solving for x we cannot eliminate it, but we have to eliminate 8 in denominator, so that there only numerator in equation and solving process becomes easier.

To eliminate 8,we need to multiply both side by 8, so as to balance the equation and also 8 from denominator gets cancelled in RHS.

1=−4+3/8x

multiply both side by 8

8(1)=8(−4+3/8x)

Thus, option c is correct one

8(1)=8(−4+3/8x)

solving it

8 = -32 + 3/x

adding both side 32

8+32 = -32 + 3/x -32

=> 40 = 3/x

=> x = 3/40

Answer:

1.5

Step-by-step explanation:

Answer:

P(white region) = 0.75 or 75%

Step-by-step explanation:

Find the area of the shaded region:

A = πr²

A = π(2)²

A = 12.56

Find the area of the entire dartboard:

A = πr²

A = π(4)²

A = 50.24

Find the probability that the dart hits the blue region:

P(blue region) = Area of blue region/ Total Area

P(blue region) = 12.56 / 50.24

P(blue region) = 0.25

As total probability is equal to 1, find the probability of throwing a dart that hits the white part of the board by substracting 0.25 from 1

P(white region) = 1 - P(blue region)

P(white region) = 1 - 0.25

P(white region) = 0.75

Answer:

y ≤ x + 3

y ≤ -2x + 3

Step-by-step explanation:

Graph attached shows two solid lines having equal y-intercepts as 3 units.

Since one line passes through two points (0, 3) and (-3, 0),

Slope of this line 'm' = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

                                  = [tex]\frac{3-0}{0+3}[/tex]

                                  = 1

Let the equation of the this line is,

y = mx + b

where m = slope of the line

b = y-intercept

Therefore, equation of the line having slope = 1 and y-intercept = 3 units,

y = 1.x + 3

y = x + 3

Since, shaded region shown is on the left of the line y = x + 3

Therefore, y ≤ x + 3 will be the inequality with shaded area in green.

Slope of the second line passing through (0, 3) and (1.5, 0)

m' = [tex]\frac{3-0}{0-1.5}[/tex]

    = -2

Therefore, equation of the second line will be,

y = (-2)x + 3

y = -2x + 3

Since shade area (In yellow) is below the given solid line, equation of the inequality will be,

y ≤ -2x + 3

Answer: 2748.5 feet

Step-by-step explanation:

Given that the

Height h = 120 feet.

angle of depression = 2.5 degrees

The angle of depression is equal to the angle of elevation.

The base of the observation deck will be achieved by using trigonometry ratio.

Tan Ø = opposite/ adjacent

Opposite = height = 120 feet

Adjacent = base = ?

Substitutes the given parameters into the trigonometry ratio.

Tan 2.5 = 120 / adjacent

Adjacent = 120 / tan 2.5

Adjacent = 2748.452

Therefore, the base of the observation deck is 2748.5 feet

Answer:

1040

Step-by-step explanation:

10^3+4(10)=

1000+40=

1040

Tenth number in the sequence is 1040.

A sequence is a list of ordered numbers. For example, 1, 2, 3, 4, 5.... is a sequence. The numbers are listed in a specific order when we count. Sequences often have specific ways they relate and can be analyzed using products and sums to identify and work with sequences.

Given

Sequence is [tex]n^{3} +4n[/tex] for all positive integers n.

Tenth number in the sequence:

n(10) = [tex]10^{3} +4(10)[/tex]

Tenth number = 1040

Hence, Tenth number in the sequence is 1040.

Find out more information about sequence here

https://brainly.com/question/12491544

#SPJ3

Answer:

The chances are 1/6 because 6-8 is 1/6 of the possible timings.

:)

Answer:

7/8

Step-by-step explanation:

Because it is 8 hours combined (noon to 8) 8 will be the denominator and since it is 3 hours (6 to 8) 3 is the numerator. Keep that aside.

Since there are 2 days in a weekend 2 will be the denominator and since it is on Sunday 1 will be the numerator.

So 3/8 + 1/2 = 7/8

Answer:

Equation y = -2x -3

Step-by-step explanation:

(1,-1) (3,-5)

Slope = -5-(-1) / 3-1 = -5+1/2 = -4/2 = -2

y = mx + K

-1 = -2(1) + k

-1 = -2 + k

k = 1

Equation y = -2x+1

Answer:

Step-by-step explanation:

slope=(y2-y1)/(x2-x1)=(-5-(-1))/(3-1)=(-5+1)/2=-4/2=-2

y-y1=m(x-x1)

y-(-1)=-2(x-1)

y+1=-2(x-1)

y+1=-2x+2

y=-2x+2-1

y=-2x+1

Answer:

it is d

Step-by-step explanation:

it is because d has more parts so it would land on it more then yellow and have a higher chance to land on blue

hope this helps

Answer:

C is the most reasonable.

Step-by-step explanation:

So we can put it in a ratio of 4:3:1. Then add all those up and do 240/8 which is 30. So each number in the ratio is 30. Then we do 4*30=120. 3*30=90. 1*30=30. Both red and blue are close to there answers but red is closer.

Answer:

D. highly unlikely

Step-by-step explanation:

There are 20 total outcomes.

The number 1 is only 1 outcome out of 20 outcomes.

The probability of it landing on 1 is 1/20.

0 - impossible

0.1 - highly unlikely

0.25 - unlikely

0.5 - even

0.75 -  likely

0.9 - highly likely

1 - certain

1/20 = 0.05

0.05 is highly unlikely.

Answer:

highly unlikely

Step-by-step explanation:

There is 1 number 1

P( 1) = 1/20

This is highly unlikely

Answer:

11.8 red

3.4 gray

5.8 brown

Step-by-step explanation:

118+34+58=200

If they only need 20, just move the decimal place by one.

11.8 red

3.4 gray

5.8 brown

Answer:

5 added to a number, x.

Step-by-step explanation:

I phrased it like other ones I saw before so... :) (Also if you ask someone to write it, I'm sure they'd get x+5)

Answer:5 added to a number, x

Step-by-step explanation:

The only line that has a y-intercept of 1 is Line A, therefore, the line that represents the given function is: Line A.

A linear equation that represents a line that has m as slope and b as y-intercept is given as y = mx + b.

Therefore, the line that represents the linear equation of the function, y = 2x + 1 , will have a slope of 2 and a y-intercept of 1.

Thus, the only line that has a y-intercept of 1 is Line A, therefore, the line that represents the given function is: Line A.

Learn more about linear equation function on:

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Answer:

this will be the first graph

A

Step-by-step explanation:

Answer:

B) (35, 260)

Step-by-step explanation:

A veterinarian will prescribe an antibiotic to a dog based on its weight. The effective dosage of the antibiotic is given by d ≥ 1∕5w2, where d is dosage in milligrams and w is the dog's weight in pounds. Which of the following ordered pairs gives an effective dosage of antibiotics for a 35-pound dog?

A) (35, 240)

B) (35, 260)

C) (260, 35)

D) (240, 35)

Ordered pairs is composed of pairs, usually an x coordinate and a y coordinate. It refers to a location of a point on the coordinate. It matches numbers to functions or relations.

Given the relation between d is dosage in milligrams and w is the dog's weight in pounds as d ≥ 1∕5w²

For a 35 pound dog (i.e w = 35 pound). The dosage is given as:

d ≥ 1∕5(35)² ≥ 245 milligrams.

For an ordered pair (x, y), x is the independent variable (input) and y is the dependent variable (output).

The dog weight is the independent variable and the dosage is the dependent variable.

From the ordered pairs, the best option is (35, 260) because 260 ≥ 240

Answer:

(35, 260)

Step-by-step explanation:

I got it right on my quiz!

Answer:

4

Step-by-step explanation:

its unclear what the standard for "symmetric" is though both data points have large and small numbers ranging from the 10-40+ thus, the data range is large and the mean will not accurately represent the data well. Thus median would be best

Answer:

S.A=132

Step-by-step explanation:

A=[[tex]\frac{1}{2}[/tex] x b x h]2

A=[tex]\frac{1}{2}[/tex] x 4 x 3 x 2        12+50+40+30=132

A=12 cm²

A=L x W

A=10 x 5=50

A=L X W

A=10 X 4=40

A=L X W

A=10 X 3=30

Each triangular end has a surface area of (1/2)(base)(height), which in this case is (1/2)(4)(3), or 6 units^2.  There are two ends, so the total area of the ends is 12 units^2.  The three remaining sides account for the surface area

(4)(10) + (5)(10) + 3(10). or 120.

The sum of the surface areas of all five areas is 120 + 12 units^2, or 132 units^2

.Answer:

132 units^2

Answer:

competitions

Step-by-step explanation:

I got it right.

Answer:

the third one

Step-by-step explanation:

try to factor them and if it cannot be factored then it is prime

the only one that cannot be factered is the one you have highlighted so that is correct.

Answer: x=5 y=-6

(5,-6)

Step-by-step explanation:

Solve by elimination

[tex]\begin{bmatrix}x-5y=35\\ 3x-6y=51\end{bmatrix}[/tex]

multiply x-5y=35 by 3

= 3x-15y=105

[tex]\begin{bmatrix}3x-15y=105\\ 3x-6y=51\end{bmatrix}[/tex]

[tex]3x-6y=51[/tex]

-[tex]\underline{3x-15y=105}[/tex]

[tex]9y=-54[/tex]

divide 9 on both sides

y= -6

Now solve for x

you must plug in -6 for y in either equations

i plugged in -6 for y in 3x-15y=105

[tex]3x-15\left(-6\right)=105[/tex]

[tex]3x+15\cdot \:6=105[/tex]

[tex]15\cdot \:6=90[/tex]

[tex]3x+90=105[/tex]

subtract 90 on both sides

[tex]3x=15[/tex]

[tex]\frac{3x}{3}=\frac{15}{3}[/tex]

[tex]x=5[/tex]

Please mark brainliest

Answer:

x=5

y= -6

Step-by-step explanation:

equ= equation

x - 5y= 35 ----- equ (1)

3x - 6y= 51 ----- equ (2)

Multiply equ (1) by 3

3x - 15y= 105 ----- equ(3)

3x - 6y= 51 ----- equ(4)

Subtract equ(4) from equ(3)

-9y= 54

y= -6

Substitute value of y into equ(1)

x - 5 x -6= 35 (the second x here means multiplication)

x + 30= 35

x= 5

Answer:

pen: $1.50 notebook: $2.00

Step-by-step explanation:

4×1.50 =6

5×2 = 10

6+10= 16

3×1.50= 4.50

8×2= 16

4.50 + 16 = 20.50

Answer:Rational

Step-by-step explanation:

Every integer is a rational number, since each integer n can be written in the form n/1.

Answer:

Rational

................

Answer:

[tex]351.8mi^2[/tex]

Step-by-step explanation:

Hey there!

Well the formula to find the surface area of a cylinder is,

[tex]2\pi rh+2\pi r^2[/tex],

So with the h and r being 10 and 4 lets plug it in.

[tex]2\pi (4)(10)+2\pi (4)^2[/tex]

Let's solve!

2π40 + 2π16

80π + 32π

251.3 + 100.5

= [tex]351.8mi^2[/tex]

Hope this helps :)

Answer:

351.9 mi^2

Step-by-step explanation:

The surface area of a cylinder can be found using the following formula.

[tex]SA=2\pi r^2+2\pi rh[/tex]

We know that the height of the cylinder is 10 miles and the radius is 4 miles.

h= 10 mi

r= 4 mi

[tex]SA=2\pi (4 mi)^2+2\pi (4 mi)(10 mi)[/tex]

First, evaluate the exponent 4 mi^2.

4 mi^2= 4 mi * 4 mi = 16 mi^2

[tex]SA=2\pi 16 mi^2+2\pi (4 mi)(10 mi)[/tex]

Next, multiply 16 and 2pi

[tex]SA=100.530965 mi^2+2\pi(4 mi)(10mi)[/tex]

Next, multiply 4 and 10

[tex]SA=100.530965 mi^2+2\pi40mi^2[/tex]

Multiply 40 and 2 pi

[tex]SA=100.530965 mi^2+251.327412mi^2[/tex]

Add the 2 numbers together

[tex]SA=351.858377 mi^2[/tex]

Round to the nearest tenth. The 5 in the hundredth place tells us to round the 8 to a 9 in the tenth place.

[tex]SA=351.9 mi^2[/tex]

The surface area of the cylinder is about 351.9 square miles.

Answer:

15

Step-by-step explanation:

30 quarts of 1 percent combined with 15 quarts of 4 percent would equal 45 quarts of 2%

Answer:

86

Step-by-step explanation:

The sum of the angles in a quadrilateral is 360 degrees

since EF is parallel to HG

m < E + m< H =180

y + 10 + 2y -31 =180

-21+ 3y= 180

3y = 180 + 21

3y = 201

y=67

m <E = 67 + 10 =77

m < F = 2*67 -40= 134 -40=94

m < H = 2*67-31 = 134 -31 = 103

m < G = 360 - (m<E+ m < F + m < H)

= 360 - ( 77+94+103)

= 360- 274

=86

Answer:

1.) 3/5

2.) 3/10

3.) 50

Step-by-step explanation:

i believe my answers are right, they might be wrong. I'm not that old so I can't solve most of these problems.

1.) to get this, you need to multiply the remaining shirts and 2/3

2.) subtract 1/10, and 3/5 from 1, which equals 3/10

3.) is 3/10 is equal to 15, then 1/10 is equal to 5, 5*10=50

Answer:

1) 3/5

2) 3/10

3) 35

Step-by-step explanation:

For majority of the questions, you just have to multiply the numbers together. I think all of them is right... T-T

sry if its wrong.. :|

Answer:

There's two of them, of which are the 3rd and 5th option

Step-by-step explanation:

The formula for calculating a prism is length times width, times the height because it is a 3d object. Length times width is the same as B(base), so those two are the exact same. Don't let that fool you.

Here's a little abstract context:

You've got one loaf of bread right? Well, pretend it's 3 inches by 4 inches. You have one slice, one layer, with 12 inches squared as its area. To make it a loaf, you stack the layers up by multiplying that slice of bread by the value of h.

Answer:

a) 560

b) The Hamburger section will become smaller, the pepperoni will get bigger, the veggie pizza area would increase and the cheese section will decrease.

Step-by-step explanation:

a) 400 pizzas were originally sold (add all pizzas)

1600/400=4

Therefore, 175 (pepperoni pizzas) *4 = 560.

b) Find the difference between the original amount compared to the new amounts to determine what will happen to the size of each sector.    

Hope that helped!!! k

Answer:

(x-9)(x+2)

Step-by-step explanation:

x^2-7x-18

Factor

What two numbers multiply to -18 and add to -7

-9*2 = -18

-9+2 = -7

(x-9)(x+2)

Answer:

4[1/2(5 x 6)] + 6x6

Step-by-step explanation:

The first part of the expression is 4[1/2(5 x 6)]. This is the formula to find the surface area of the triangles. A regular triangle's area is 1/2(l*w). Since there are four trinagles, you have to multiply the whole expression by 4.

The second part of the equation is finding the surface area of the base which is a square. Since squares have four equal sides, its safe to say that you can use 6 * 6.

Hope that helped!