Answer:
For 3 people Kevin would need 90g of strawberry jelly, 6 sponge fingers, 315ml of custard and 135g of tinned fruit.
Step-by-step explanation:
To work this out you would need to work out how many ingredients would be needed for 1 person, so you would need to divide each ingredient amounts by 4. (For example for the strawberry jelly you would do 120÷4 which is 30).
Then, to work out how many ingredients would be needed for 3 people you would need to multiply the ingredient amounts by 3. (Like 30×3 is 90).
you randomly choose a natural number from 1 to 20. what id the probability that you will choose 8 or a multiple of 4?
Answer:
20%
Step-by-step explanation:
The elements or numbers are 1,2,3,4....20
And the probability you looking for is 4 and 8...thus only two elements... Counting them individually out of the total elements... Hence this gives... 2/20=1/10
You and the chess teacher have been playing chess for 18 minutes to make the chess club you must win the game in less than 45 minutes how much time do you have to win the chess game
45 - 18 = 27
About 27 mintues
Given that you and the chess teacher have been playing the game for 18 minutes and you need to win the game in less than 45 minutes, you need to subtract the time you have already spent playing from the total time allowed. So, 45 minutes (total time) - 18 minutes (time spent) = 27 minutes. You have 27 minutes left to win the chess game and enter the chess club.
Explanation:The question is asking how much time you have left to win the chess game in order to make it into the chess club, given that you and the chess teacher have been playing the game for 18 minutes, and you need to win the game in less than 45 minutes. This translates to a mathematical problem of subtraction.
To find out how much time you have left, subtract the time you have already spent playing from the total time allowed. This would be 45 minutes (total time) - 18 minutes (time spent).
Step-by-step explanation:From the 45 minutes, subtract the time already spent, which is 18 minutes.The result will be the time remaining to win the game.So, 45 minutes - 18 minutes = 27 minutes
.
You have 27 minutes to win the chess game and enter the chess club.
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The figure below shows trapezoid ABCD on a coordinate plane. Which following expressions represents the area of the figure EBCD in square units
The answer is 74 square units so B
Hope this helps you
Have a great day
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Answer:
EBCD=55.5 square units
Step-by-step explanation:
Since EBCD is a trapezoid you would plug in the lengths of the sides into the formula. First I will give you the side lengths.
BC=√37
EB=√37
CD=√74
ED=2√37
To solve for the area of EBCD we have to plug the numbers into the trapezoid formula 2√37+√37 divided by 2 times √37 =111/2 which that equals 55.5 square units.
I also know this is correct because I just took the assignment myself.
PLEASE HELP Which expression is equivalent? 8 − 5(3x − 7)
A) 15x + 43 B) 9x − 21 C) −9x + 21 D) −15x + 43
Which expression is equivalent? 6(2x + 3) − 4(5x + 2)
A) 8x + 10 Eliminate B) 8x − 10 C) −8x + 10 D) −8x − 10 Which is equivalent to the expression? 4(x + 5) + 4x + 8
A) 4(2x + 7) B) 5x + 17 C) 8(x + 4) D) 8x + 13
Answer:
Q1. D) -15x + 43Q2. C) -8x + 10Q3. A) 4(2x + 7)Step-by-step explanation:
[tex]Q1:\\8-5(3x-7)\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\=8-(5)(3x)+(-5)(-7)=8-15x+35=-15x+(8+35)\\=\boxed{-15x+43}[/tex]
[tex]Q2:\\6(2x+3)-4(5x+2)\qquad\text{use the distributive property}\\\\=(6)(2x)+(6)(3)+(-4)(5x)+(-4)(2)=12x+18-20x-8\\\\\text{combine like terms}\\\\=(12x-20x)+(18-8)=\boxed{-8x+10}[/tex]
[tex]Q3.\\4(x+5)+4x+8\qquad\text{use the distributive property}\\\\=(4)(x)+(4)(5)+4x+8=4x+20+4x+8\\\\\text{combine like terms}\\\\=(4x+4x)+(20+8)=\boxed{8x+28}=(4)(2x)+(4)(7)=\boxed{4(2x+7)}[/tex]
An Easter basket contains eggs of three different colors. Find the total number of eggs in the basket if 2/7 of all eggs are green, 1/4 of all are blue and the rest 26 eggs are red.
Answer:
15/28
Step-by-step explanation:
2/7 plus 1/4 plus 26 is 15/28
Answer:
Total number of eggs in basket = 56
Step-by-step explanation:
Let z be the total number of eggs
Green eggs = [tex]\frac{2}{7}[/tex] × z ........1
Blue eggs = [tex]\frac{1}{4}[/tex] × z .......2
Rest of eggs = 26 ........3
The addition of 1, 2 and 3 is equal to z
[tex]\frac{2}{7}[/tex] × z + [tex]\frac{1}{4}[/tex] + 26 = z
[tex]\frac{8z + 7 z}{28}[/tex] + 26 = z ∵GCF for 4 and 7 is 28
[tex]\frac{15z}{28}[/tex] + 26 = z
15z + (26 × 28) = 28z ∵ multiply both sides by 28
15z + 728 = 28z
28z - 15z = 728 .......... rearranging above equation
13z = 728 ⇒ z = [tex]\frac{728}{13}[/tex] ⇒ z = 56
Total number of eggs = z = 56
Write and solve the equation and then check your answer.
A number increased by twenty-six is forty-two.
Which statements are correct? Check all that apply.
This is an addition problem.
This is a subtraction problem
The correct equation is s + 26 = 42.
The correct equation is s – 26 = 42.
To solve the equation, add 26 to both sides.
To solve the equation, subtract 26 from both sides.
Answer:
(statements listed below are correct)
this is an addition problem.correct equation is s + 26 = 42.to solve the equation, subtract 26 from both sides.Step-by-step explanation:
The correct statements are Option(A), Option(C) and Option(F).
What is an equation?A mathematical statement that consists of an equal symbol between two algebraic expressions with the same value is known as an equation.
Let the number be = S
When it is increased by 26 it becomes 42
S + 26 = 42( Option(A) and Option(C))
Subtract 26 from both the sides (Option(F))
S + 26 - 26 = 42 - 26
S = 16
Hence, it is proved that Option(A), Option(C) and Option(F) are correct.
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Draw an angle of negative pie over three in
Standard position.
Check the picture below.
recall that negative angles go "clockwise".
50+ POINTS AND BRAINLIEST! PLEASE BE CORRECT!
What is the surface area of the prism?
Answer:
=234 mm^2
Step-by-step explanation:
The surface area of a rectangular prism is given by
SA = 2 (lw +lh +hw) where l is the length, w is the width and h is the height
SA = 2 ( 15*3 + 15*4 + 3*4)
= 2( 45+60+12)
= 2(117)
=234 mm^2
what is the surface area of the figure ?
A. 291 ft2
B. 582 ft2
C. 900 ft2
D. 399 ft2
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582 is your answer and i already checked i hope you get it right :)
Answer: B: 582 ft2
Step-by-step explanation: 9*15= 135+36= 171 ft for the face. 171*2= 342 ft for front and back. 342+2*(15*4)=462+(6*4)=486........ and so on with all the sides.
Nelly runs a 10 mile race in 88 minutes. At this rate, how long would it take him to run 6.5 mile race.
Answer:
57.2 minutes
Step-by-step explanation:
One way in which to solve this problem is to write and solve an equation of ratios:
6.5 mi x
------------ = -----------
10 mi 88 min
Cross-multiplying, we get:
10x = 572
Then x = 57.2 minutes (to run this 6.5 mile race)
Justin made a scale drawing of a rectangular playground. he used the scale 2 inches: 3 feet. His drawing is 18 inches by 24 inches. What is the actual area of the playground?
Answer:-Steps-
1.)Divide 18 by 2
(18/2=9)
2.)Divide 24 by 2
(24/2=12)
3.)Multiply 18 and 3
(18 x 3 = 54)
4.)Multiply 24 and 3
(24 x 3 = 72)
5.) Now multiply 54 and 72
(54 x 72 = 3888)
The answer is 3888 feet or 118056 centimeters.
Step-by-step explanation:
The actual area of the playground is determined by converting the scale drawing dimensions to real-life measurements using the provided scale, resulting in a playground area of 972 square feet.
Justin has created a scale drawing of a playground using the scale 2 inches: 3 feet. To find the actual area of the playground, we first convert the dimensions of the drawing to real-life dimensions. The scale factor is found by dividing the scale's drawing unit by the real unit. This gives us a factor of 1 inch being equivalent to 1.5 feet since 2 inches represent 3 feet (2 inches / 3 feet = 1 inch / 1.5 feet).
The drawing dimensions are 18 inches by 24 inches. We multiply each dimension by our conversion factor (1.5 feet per inch) to get the real-life measurements:
Real length = 18 inches * 1.5 feet/inch = 27 feetReal width = 24 inches * 1.5 feet/inch = 36 feetTo find the actual area, we multiply the length by the width:
Area = length * width = 27 feet * 36 feet = 972 square feet
The actual area of the playground is 972 square feet.
What type of association does the following scatter plot represent?
A. Positive linear association
B. Negative linear association
C. Positive nonlinear association
D. Negative nonlinear association
B negative linear association
Someone help me please
i think this is the answer
Step-by-step explanation: So i think the answer is 2 : 3 and another one is
3 to 2
Divide -3x3 - 2x2 - x - 2 by x – 2.
Answer:
The answer..,
Step-by-step explanation:
Let me know if you wanted the steps (:
ANSWER
[tex] \frac{ - 3 {x}^{3} - 2 {x}^{2} - x - 2}{x - 2} = - 3 {x}^{2} - 8x - 17 - \frac{36}{x - 2} [/tex]
EXPLANATION
We want to divide
[tex] - 3 {x}^{3} - 2 {x}^{2} - x - 2[/tex]
by
[tex]x - 2[/tex]
We perform synthetic division to obtain:
The remainder to be -36.
The quotient is
[tex] - 3 {x}^{2} - 8x - 17[/tex]
Therefore,
[tex] \frac{ - 3 {x}^{3} - 2 {x}^{2} - x - 2}{x - 2} = - 3 {x}^{2} - 8x - 17 - \frac{36}{x - 2} [/tex]
The scores on an exam are normally distributed, with a mean of 75 and a standard deviation of 5. What percent of the scores are less than 80?
A. 50%
B. 84%
C. 13.5%
D. 16%
Answer:
B. 84%
Step-by-step explanation:
Given
Mean= π=75
Standard Deviation= σ=5
As we have to calculate the percentage of score less than 80, we will find the z-score of 80
z=(x-μ)/σ
= (80-75)/5
=5/5
=1
The z-score table value for 1 is 0.8413.
For converting this value into percentage, the value will be multiplied by 100.
So,
Percentage of students whose score is less than 80 = 0.8413*100
=84.13%
Rounding off gives us : 84%
So option B is the correct answer..
What is the value of f^-1 (2)
Answer:
2/f is the correct answer.
The value of f^-1(2) refers to the value of x in the original function f(x) that corresponds to f(x) = 2. Essentially, it is asking what value of x, when substituted into the original function, would provide an answer of 2.
Explanation:The value of f^-1(2) is the pre-image, or the value of the variable x in the original function f(x), that corresponds to f(x) = 2 in the original function. An inverse function undoes the operation of the original function. For instance, if you have a function f(x) = y, the inverse function, denoted f^-1, would give you back x when you input y. Therefore, f^-1(2) asks for the value of x that would result in f(x) = 2 in the original function.
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This week laptops are 25% off. If a laptop costs $340, what is its sale price?
____________________________________________________
Answer:
Your answer would be $255
____________________________________________________
Step-by-step explanation:
To solve these kind of problems, what we have to do is find how much of 340 is 25%, and then subtract that number to the original price.
Let's give you some important information in the text:
25% off$340With the information above, we can solve our problem.
First, we would need to find how much of 340 is 25%, and to do that, we would multiply 340 by 0.25:
[tex]340*0.25 = 85[/tex]
When you solve, you should get 85. But, you're not done yet, we need to find out how much the sales price is, not how much of it is discounted.
In order to find the sales price, we would get our original number (the number it originally cost), and subtract it with the amount of money it's removing (85).
In this case, we would subtract 340 by 85.
[tex]340-85=255[/tex]
Your FINAL answer should be 255
The sales price of the laptop would be $255.
____________________________________________________
Use the slope formula to find the missing coordinate: R(0,_), S(-4,2) m=5
Answer
The missing value is 22
step-by-step explanation
The slope formula is
[tex]m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]
From the question,
m=5
[tex]x_2=-4[/tex]
[tex]y_2=2[/tex]
and
[tex]x_1=0[/tex]
We substitute these values to get,
[tex]5= \frac{2 - y_1}{ - 4- 0} [/tex]
Simplify
[tex]5= \frac{2 - y_1}{ - 4} [/tex]
[tex]5 \times - 4=2 - y_1[/tex]
[tex] - 20=2 - y_1[/tex]
[tex] - 20 - 2=- y_1[/tex]
[tex]22= y_1[/tex]
[tex] y_1 = 22[/tex]
The missing value is 22
Select all the correct answers
I would say B and D are correct.
What is the value this is -3 standard deviations from the mean?
Answer:
x = 44.9
Step-by-step explanation:
This equation shown falls in the formula for z score:
[tex]z=\frac{x-\mu}{\sigma}[/tex]
Where [tex]\mu[/tex] = 62
[tex]\sigma[/tex] = 5.7
ans z = -3
So, which value corresponds to a z-score of -3???
we cross multiply and do algebra to solve for x:
[tex]-3=\frac{x-62}{5.7}\\-3*5.7=x-62\\-17.1=x-62\\-17.1+62=x\\44.9=x[/tex]
what's is the value of (2/3)^3
Answer: 8/27
(2/3)^3
2^3/3^3
= 8/27; alternative form: 0.29
For this case we must find the value of the following expression:[tex](\frac {2} {3}) ^ 3 =[/tex]
Then, rewriting the expression:
[tex]\frac {2 ^ 3} {3 ^ 3} = \frac {2 * 2 * 2} {3 * 3 * 3} = \frac {8} {27}[/tex]
Simplifying the expression in decimal form we have:
[tex]\frac {8} {27} = 0.2963[/tex]
Answer:
[tex]\frac {8} {27} = 0.2963[/tex]
Select the three sums equivalent to 13/8.
Answer:
26/16, 39/24, 52/32
Step-by-step explanation:
Answer: can you give me answer choises so i can answer?
Timothy's box holds 5 kilograms of magazines and 27 kilograms of books.What is the total mass of the magazines and books
Answer:
31
Step-by-step explanation:
Answer:
135
Step-by-step explanation:
you multiply 5 times 27 equals 135
An airplane is at a location 800 miles due west of city X. Another airplane is at a distance of 1,200 miles southwest of city X. The angle at city X created by the paths of the two planes moving away from city X measures 60°. What is the distance between the two airplanes to the nearest mile? Assume that the planes are flying at the same altitude.
Answer:
The distance between the two airplanes (to the nearest mile) is 1058 miles.
Step-by-step explanation:
An airplane A is at a location 800 miles due west of city X. So AX = 800 miles.
Another airplane is at a distance of 1,200 miles southwest of city X. So BX = 1200 miles.
The angle at city X created by the paths of the two planes moving away from city X measures 60°. So angle ∠AXB = 60°.
In triangle ΔAXB, AX = 800 miles, BX = 1200 miles, ∠AXB = 60°.
Using law of cosines:-
AB² = AX² + BX² - 2 * AX * BX * cos(∠AXB).
AB² = 800² + 1200² - 2 * 800 * 1200 * cos(60°).
AB² = 640000 + 1440000 - 2 * 960000 * 1/2
AB² = 2080000 - 960000
AB² = 1120000
AB = √(1120000) = 1058.300524
Hence, the distance between the two airplanes (to the nearest mile) is 1058 miles.
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Cone A has a radius of 12 inches and Cone B has a radius of 30 inches. If the cones are similar and the volume of Cone A is 48 ft^2, find the volume of Cone B.
Answer:
750 ft^3
Step-by-step explanation:
Given that the cones are similar, the first step would be to determine their linear scale factor; That is the ratio of their radii;
[tex]\frac{RadiusB}{RadiusA}=\frac{30}{12}=2.5[/tex]
The next step is to determine the volume scale factors. Since the linear scale factor is 2.5, the volume scale factor would be;
volume scale factor = (linear scale factor)^3
= 2.5^3 = 125/8
The volume of Cone B will thus be;
volume of Cone A * volume scale factor = 48 * 125/8 = 750 ft^3
what is the tangent ratio for
Answer:
tan T = 3/4
tan U = 4/3
Step-by-step explanation:
The tangent ratio is opposite / adjacent. The ratio will vary for each angle since the perspective of each angle will be different. For example Angle T has an adjacent side of 4 while Angle U has an adjacent side of 3. The tangent ratios for Angles U and T are listed below:
tan T = 3/4
tan U = 4/3
Answer:
Step-by-step explanation:
tan(T) = 3/4
tan(U) = 4/3
tan(V) = 5/4
HURRY AND ANSWER
How can we cut 5 and 9 to find the median
if this is asking what I think it is, all you do is subtract 5 by 9, divide it by 2, then add the product to five. which will get you 7.
5 + 9 = 14
14/2 = 7
The answer is 7
Suppose that y varies inversely with x. Write an equation for the inverse variation. y=6 when x=8
Answer:
y = 48/x
Step-by-step explanation:
"Inverse variation" means y is proportional to the inverse of x. If the constant of proportionality is represented by k, then ...
y = k/x
Multiplying by x, we find k to be ...
xy = k
So, the given values tell us k is ...
8·6 = k = 48
and the desired equation is ...
y = 48/x
Answer:
i think y = 48/x
Step-by-step explanation:
The two triangular pyramids are similar. The smaller pyramid has a volume of 52 inches3. What is the volume of the larger pyramid? Round to the nearest tenth. in.3
Answer:
the volume of the larger pyramid = 175.5 inches³
Step-by-step explanation:
* Lets revise the similar
- If two solids are similar,then the ratio between each two
corresponding dimensions are qual
- Their perimeters have the same ratio
- Their areas have the square of the equal ratio
- Their volumes have the cube of the equal ratio
* Lets solve the problem
- The two triangular pyramids are similar
- The perimeter of the base of the small one = 14 inches
- The perimeter of the base of the big one = 21 inches
∴ The ratio of the similarity = 14/21 = 2/3
∴ The ratio between their volumes is (2/3)³ = 8/27
∵ The volume of the small one = 52 inches³
- W will us the cub of the ratio to find the larger volume
∴ 52/V = 8/27 ⇒ by using the cross multiplication
∴ 52 × 27 = 8 × V
∴ 1404 = 8V ⇒ divide both sides by 8
∴ V = 175.5 inches³
Answer:
175.5 on edge
Step-by-step explanation:
hope it helps
Choose the answer. Which best describes this quadrilateral? a. polygon with all right angles B. polygon with exactly 1 pair of sides that are equal in length c. polygon with exactly 1 pair of parallel sides D. polygon with 4 sides that are equal in length
Answer:
the best answer would be C
Answer:
D
Step-by-step explanation: