Step-by-step explanation:
So he sold 33.
29 had pepperoni and of these 29, 15 had also sausage. SO first, to find out how many pepperoni pizzas only he sold you have to substract.
29-15= 14
14pepperoni pizzas
15 pepperoni and sausage pizzas.
Now we add 14 + 15 = 29
Now we do 33-29= 4
So the final answer to the question is:
10 pizzas more
the least divisor of 78 is?
Answer:
Divisors of 78 1,2,3,6,13,26,39,78
A carnival attraction tests your strength by how far in the air you can drive a weight with a hammer. If the weight reaches 15 feet, you win a prize. The equation h = -16t 2+ 31t + 2 gives the height, in feet, and time, in seconds of the weight after it is hit.
a. How long is the weight in the air?
b. What was the weight’s maximum height?
c. Did you win a prize? Why or why not?
Answer:
a. 2 secondsb. ~17 feetc. yesStep-by-step explanation:
Given function:
h(t) = -16t² + 31t + 2a.h(t) = 0 will give us the y-intercept of the graph. The greater value of t is the time the weight in the air
-16t² + 31t + 2 = 016t² - 31t - 2 = 0t = [31 + √(31²+4*16*2)]/32t = (31 + 33)/32t = 2 secondsb.Maximum height is reached at vertex.
The x coordinate of the vertex is determined as x = -b/(2a), considering the standard form of a quadratic function f(x) = ax² + bx + c
t = -31/(-16*2) = 31/32 = 0.96875h(0.96875) = -16(0.96875)² + 31*0.96875 + 2 = 17.015625 ftc.You win the prize as the maximum height is greater than 15 feetA ship left at the port at 9:00 p.m. and arrived at the next port at 5:00 a.m.
the next day. The distance between the 2 ports was 200 km.
Find the average
speed of the ship.
show solution
Answer:
25km/h
Step-by-step explanation:
It would be helpful to understand the 24 hour clock in this case so you don't get confused by the AM and PM. For reference, 5 AM is technically 17AM, since 5 + 12 = 17.
The ship departed at 9pm, subtract that from 17 and you'll get 8 hours.
17 - 9 = 8
We know that there are 8 hours total, and since the ship traveled 200km, we set up a fraction, which is 8hr/200km. Since we want the average speed, we'll go by km/hr. To do this, we need to set the hrs to 1.
8/x = 1
x = 8
200/8 = 25
Your answer is 25km/hr
I need some help with this,and have this done correctly for brainliest.
#5 = 1
Because you have to find x of (-3) and then you find 1.
#6 = 1
The vertical line doesn't represent a function but horizontal line if passed once represents the function.
#7 = 4
You can just plug in the x values into the equation and solve for y and math the answer to the y data.
1) Choice 1, is the correct answer because -3 on the x-axis touches the graph at 6 on the y-axis.
2) Choice 2, is the correct answer. It doesn't pass the horizontal line because it passes through more than one line on the graph. However, it does pass the vertical line test, which only passes through one line and makes this graph a function.
3) Choice 4, is the correct answer. If you use an online graphing tool, you can match up the points on one of these tables. Choice 4 only seems to fit all on these into f(x) = -2x + 6 equation.
Hope this helps :)
Please help! Answer and explanation please!
Answer:
B. 36π in²
Step-by-step explanation:
Given:
Volume = 54π in³
height (h) = 6 in.
Required:
Curved surface area of the can (area for the label needed to wrap around the can without overlapping)
Solution:
First, we need to find the radius (r) of the can.
Volume = πr²h
Plug in the given values and solve for r
54π = π*r²*6
54π = 6π*r²
54π/6π = r²
9 = r²
r = √9
r = 3 in
✔️Find the curved surface area:
Curved surface area = 2πrh
r = 3 in
h = 6 in
Plug in the values
C.S.A = 2*π*3*6
C.S.A = 36π in²
What is the probability of choosing an ace from a deck of cards? Type your answer as a fraction.
Answer:
Step-by-step explanation:
there are 52 cards in a deck, there are 4 aces. This would create a fraction of 4/52. (using the probaility set up of what I want over the total of everything). I hope this helps!
How many curtains can be made from 20 meters of cloth if each curtain requires 2 and 1/2 meters ?
Answer :- 20/2.5 = 8
......
The total number of curtains that can be made is 8 if each curtain requires 2 and 1/2 meters
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that:
20 meters of cloth if each curtain requires 2 and 1/2 meters.
The total length of the cloth = 20 meters
Each curtain requires 2 and 1/2 meters
= 2 + 0.5
= 2.5 meters
Total number of curtains = 20/2.5
Total number of curtains = 8
Thus, the total number of curtains that can be made is 8 if each curtain requires 2 and 1/2 meters
Learn more about the fraction here:
brainly.com/question/1301963
#SPJ2
Find the value of x in the diagram below( HELP PLEASE)
9514 1404 393
Answer:
x = 30
Step-by-step explanation:
The sum of exterior angles of a convex polygon is 360°. Here, that means ...
3x° +x° +2x° +2x° +4x° = 360°
12x = 360
x = 360/12 = 30
The value of x is 30.
Answer:
Solution :-Sum of all angles = 360⁰
[tex] \to \sf \: 2x + 2x + x + 4x + 3x = 360[/tex]
[tex] \to \: 12x = 360[/tex]
[tex] \to \: x = \dfrac{360}{12} [/tex]
[tex] \sf \: x = 30[/tex]
If the cost, C(x), for manufacturing x units of a certain product is given by
C(x) = x2 – 15x + 34
find the number of units manufactured at a cost of $8350.
Answer:
99 units.
Step-by-step explanation:
The cost function for manufacturing x units of a certain product is:
[tex]C(x)=x^2-15x+34[/tex]
We want to find the number of units manufactured at a cost of $8350. Therefore:
[tex]8350=x^2-15x+34[/tex]
Subtract 8350 from both sides:
[tex]x^2-15x-8316=0[/tex]
This equation can be a bit difficult to factor, if even possible, so we can use the quadratic formula:
[tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
In this case, a = 1, b = -15, and c = -8316. Thus:
[tex]\displaystyle x=\frac{-(-15)\pm\sqrt{(-15)^2-4(1)(-8316)}}{2(1)}[/tex]
Simplify:
[tex]\displaystyle x=\frac{15\pm\sqrt{33489}}{2}[/tex]
Evaluate:
[tex]\displaystyle x=\frac{15\pm183}{2}[/tex]
Therefore, our solutions are:
[tex]\displaystyle x=\frac{15+183}{2}=99\text{ and } x=\frac{15-183}{2}=-84[/tex]
We cannot produce negative items, so we can ignore the second answer.
Therefore, for a cost of $8350, 99 items are being produced.
This year, a small business had a total revenue of $14,600. If this is 27% less than their total revenue the previous year, what was their total revenue the previous year?
Given:
The total revenue of this year = $14,600
This year revenue is 27% less than their total revenue in the previous year.
To find:
The total revenue in the previous year.
Solution:
Let x be the total revenue of the previous year.
This year revenue is 27% less than their total revenue the previous year.
Revenue in this year = Revenue in previous year - 27% of it
[tex]14600=x-\dfrac{27}{100}x[/tex]
[tex]14600=x-0.27x[/tex]
[tex]14600=0.73x[/tex]
Divide both sides by 0.73.
[tex]\dfrac{14600}{0.73}=x[/tex]
[tex]20,000=x[/tex]
Therefore, the total revenue in the previous year is $20,000.
Which graph represents the solution set of the following situation? Andrew is buying fruit for a fruit salad. Bananas cost $1 a pound and oranges cost $2 a pound. He plans to buy at least 10 pounds of fruit and spend no more than $20. Let x represent pounds of bananas and let y represent pounds of oranges..
Answer:
[tex]x + y \ge 10[/tex]
[tex]x + 2y \le 20[/tex]
Step-by-step explanation:
The question is incomplete as the graphs are not shown. So, I will derive the inequalities and plot the graph.
Given
[tex]Banana = \$1[/tex]
[tex]Orange = \$ 2[/tex]
[tex]Purchase = 10lb[/tex] --- At least
[tex]Spedings = \$20[/tex] --- Not more than
And we have:
[tex]x = Banana; y = Orange[/tex]
The number of purchase will be represented as:
[tex]x + y \ge Purchase[/tex] ---- (at least)
[tex]x + y \ge 10[/tex]
The amount spent will be represented as;
[tex]1 * x + 2 * y \le 20[/tex] --- (not more than)
[tex]x + 2y \le 20[/tex]
So, the inequalities are:
[tex]x + y \ge 10[/tex]
[tex]x + 2y \le 20[/tex]
See attachment for graph
Use long division to find the quotient of 1,467 and 58. What is the remainder?
Answer:
1467 divided by 58 equals
25 with a remainder of 17
Step-by-step explanation:
Answer:
17
Step-by-step explanation:
I need help with this not a test
Answer:
15$
Step-by-step explanation:
small car is 5 times smaller so we have to multiply the prise of the small car by 5.
Which graph shows a line with an x-intercept of (-4, 0) and a slope of −2/5
vzxxbxcbxvzbfdbnjdznvnjzkxnvjnjnjdb
lolhjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjjodskvxhugvgxjchvgkzjgvcgkjzx
I need to finish this but im confused :(
Answer:
basically, with each value of x, you replace it by x on the equation
Step-by-step explanation:
y=1/3(12)
y=4
--------
y=1/3(3)
y=1
--------
y=1/3(18)
y=6
-------
hope this helped!
answer and show work and ill give brainliest
9514 1404 393
Answer:
(d)
Step-by-step explanation:
The area of the semicircle is ...
A = (1/2)πr²
A = (1/2)(3.14)(4 m)² = 25.12 m²
The area of the triangle is ...
A = 1/2bh
A = 1/2(12 m)(8 m) = 48 m²
Then the total area of the composite figure is ...
total area = semicircle area + triangle area
= 25.12 m² + 48 m² = 73.12 m²
_____
Additional comment
The areas of choices A-C are too small. Choice A represents the area of the full circle. Choice B represents the area of the triangle only. Choice C is completely irrelevant. Choice D is the sum of the first two choices, inappropriately using the full circle area.
You should talk to your teacher about this question. None of the offered choices is correct.
Find the surface area of a cube with side base length 10m.
Answer:
600 m²
Step-by-step explanation:
because the formula for surface area of a cube is 6a² in which a is the side length. so 10² is 100 multiplied by 6 which is 600
Vx
What is the percent decrease when the balance in a bank account goes from $300 to $60?
O The percent decrease is 20%.
O The percent decrease is 25%.
O The percent decrease is 80%.
O The percent decrease is 87%
Answer:
C. 80%
Step-by-step explanation:
Khan academy pls help!
Answer:
The answer is b
Step-by-step explanation:
If you buy a motorcycle for $12,500 in 2015 and it depreciates (shrinks) in value by 15.5% every year, how much will it be worth in 2020?
A) $10,562.50
B) $1718.33
C) $6732.90
D) $5385.10
Answer:
D) $5385.10
Step-by-step explanation:
Exponential equation of decay:
The exponential equation for the decay of an amount after t years is given by:
[tex]A(t) = A(0)(1-r)^t[/tex]
In which A(0) is the initial amount and r is the decay rate, as a decimal.
If you buy a motorcycle for $12,500 in 2015 and it depreciates (shrinks) in value by 15.5% every year
This means that [tex]A(0) = 12500, r = 0.155[/tex]
So
[tex]A(t) = A(0)(1-r)^t[/tex]
[tex]A(t) = 12500(1-0.155)^t[/tex]
[tex]A(t) = 12500(0.845)^t[/tex]
How much will it be worth in 2020?
2020 is 2020 - 2015 = 5 years after 2015, so this is A(5). So
[tex]A(5) = 12500(0.845)^5 = 5385.10[/tex]
The correct answer is given by option D.
Answer this ASAP : The company is also having a problem deciding on a torso design for Tinker. Each design has a height of 10 cm. Below are the three choices they have decided on. 3) Each of the torsos is filled with chocolate. One of the managers wants to throw out Design C. He argues that the amount of chocolate needed to fill it is so much more than the other two types that it shouldn't even be a choice. Is he right or wrong? Explain.
Answer:
All three designs will hold he same amount of chocolate (60 cubic centimeters). So, the manager is wrong.
Step-by-step explanation:
Let's find the volume of each design.
For Design A, the cross section is a rectangle rectangle measured 3 cm by 2 cm.
Therefore, the area of the cross section is:
[tex]A_1=3(2)=6\text{ cm}^2[/tex]
Since the height is 10 cm, the total volume of Design A is:
[tex]V_1=10(6)=60\text{ cm}^2[/tex]
For Design B, the cross section is also a rectangle measuring 3 cm by 2 cm.
So, the area of the cross section is:
[tex]A_2=3(2)=6\text{ cm}^2[/tex]
And the height is still 10 cm. So, the total volume of Design B is:
[tex]V_2=6(10)=60\text{ cm}^3[/tex]
Note that we use the vertical height, and not the slant height. If this seems confusing, imagine each layer being a cracker. If 10 crackers were laid on top of each other perfectly, that is Design A. However, if we were to move each cracker to the right a bit, that is Design B. The volume of both cases are the same.
For Design C, the cross section is a triangle with a base length of 6 cm and a height of 2 cm.
So, the area of the cross section is:
[tex]\displaystyle A_3=\frac{1}{2}(2)(6)=6[/tex]
And since the height is 10 cm, the volume of Design C is:
[tex]V_3=6(10)=60\text{ cm}^3[/tex]
Therefore, as we can see, all three designs will hold he same amount of chocolate. So, the manager is wrong.
what is the average of 301,317,167 and 319
Answer:
150658743
Step-by-step explanation:
(301 317 167+319)÷2=150658743
what is 13 more than 3 times a number is 34 and what is the solution
Answer:
13 + 3x = 34
Variables:
x = random number
Find the lateral area of the cylinder.
Answer:
[tex]A=440\ m^2[/tex]
Step-by-step explanation:
Given that,
The diameter of the cylinder, d = 10 m
Hight, h = 14 m
Radius, r = d/2 = 5 m
We need to find the lateral area of the cylinder. The formula for the lateral area of the cylinder is given by :
[tex]A=2\pi rh\\\\A=2\times \dfrac{22}{7} \times 5\times 14\\A=440\ m^2[/tex]
So, the lateral surface area of the cylinder is equal to [tex]440\ m^2[/tex].
The surface area of a trianglular pyramid is 305 square inches. the area of the base is 35 square inches. Each face has a base of 9 inches. What is the slant height?
Peyton is going to invest $440 and leave it in an account for 5 years. Assuming the
interest is compounded annually, what interest rate, to the nearest tenth of a percent,
would be required in order for Peyton to end up with $520?
Answer:
The required interest rate would be of 3.4% a year.
Step-by-step explanation:
The amount of money earned in compound interest, after t years, is given by:
[tex]P(t) = P(0)(1+r)^t[/tex]
In which P(0) is the initial investment and r is the interest rate, as a decimal.
Peyton is going to invest $440 and leave it in an account for 5 years.
This means that [tex]P(0) = 440, t = 5[/tex]
So
[tex]P(t) = P(0)(1+r)^t[/tex]
[tex]P(t) = 440(1+r)^5[/tex]
What interest rate, to the nearest tenth of a percent, would be required in order for Peyton to end up with $520?
This is r for which P(t) = 520. So
[tex]P(t) = 440(1+r)^5[/tex]
[tex](1+r)^5 = \frac{520}{440}[/tex]
[tex]\sqrt[5]{(1+r)^5} = \sqrt[5]{\frac{52}{44}}[/tex]
[tex]1 + r = (\frac{52}{44})^{\frac{1}{5}}[/tex]
[tex]1 + r = 1.034[/tex]
Then
[tex]r = 1.034 - 1 = 0.034[/tex]
The required interest rate would be of 3.4% a year.
a clothing store sells t-shirts,t,for $8 a shirt, and shorts,s,for $12 each. the store earned $180 revenue last month.the store sold three times as many t-shirts as shorts. using the method of substitution, how many t-shirts and shorts did did the store sell?
Answer:
Let x be the variable for a t-shirt for $8.
Let y be the variable for shorts for $12.
Let z be the variable for the hats that cost $10 each.
We have the expression 1 below:
$464 = $8x + $12y + $10z
other expressions:
3z = x
2z =y
By substitution we can solve each variable:
464 = 8(3z) + 12(2z) + 10z
464 = 24z +24z +10z
464 = 58z
z = 8
Solve for x andy:
3z=x
3*8 = 24=x
2z=y
2*8 = 16 = y
The t-shirts are 24 pieces, the shorts are 16 pieces and hats are 8 pieces.
Step-by-step explanation:
what is the absolute value of 1,123?
Answer:
1,123 is the absolute value because it is a positive integer hence it reaches the positive absolute value
Answer:
the correct answer is 1,123
Step-by-step explanation:
absolute value is the non-negative value of a real number, without regard to its sign. which means [1,123]= 1,123
There are 4 points that form a rectangle. Three of the points are: (-5 -1) (-5 3) (2<3 What are the coordinates of the fourth point?
Answer:
[tex]C = (2,-1)[/tex]
Step-by-step explanation:
Given
[tex]A = (-5,-1)[/tex]
[tex]B = (-5,3)[/tex]
[tex]D = (2,3)[/tex]
Required
The coordinate of the fourth point (C)
The given coordinates indicate the rectangle is vertical/horizontal because it has similar x and y values.
The coordinate of such rectangle can be represented as:
[tex]A = (x_1,y_1)[/tex]
[tex]B = (x_1,y_2)[/tex]
[tex]C = (x_2,y_1)[/tex]
[tex]D = (x_2,y_2)[/tex]
By comparing the general coordinates with the given coordinates, we have:
[tex]x_1 = -5[/tex] --- see A and B
[tex]y_1 = -1[/tex] --- see A and C
[tex]x_2 = 2[/tex] ---- see C and D
[tex]y_2 = 3[/tex] --- see B and D
So, we have:
[tex]C = (x_2,y_1)[/tex]
[tex]C = (2,-1)[/tex]
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