There are 8 pints in a gallon, so there are 16 pints in two gallons.
2 gallons = 16 Pints
Select all the correct answers
I would say B and D are correct.
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.
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
Please help its due tonight.
A bridge crosses a circular lake. The bridge is represented by the function
y −x = 2 and the lake is represented by the function x^2 +y ^2 = 100.
a. What is the radius of the lake?
b. Find the length of the bridge.
Answer:
a) The radius of the lake to be r=10 units.
b) [tex]14\sqrt{5}[/tex] units
Step-by-step explanation:
The lake has equation: [tex]x^2+y^2=100[/tex]
We can rewrite this as [tex]x^2+y^2=10^2[/tex]
Comparing this to [tex]x^2+y^2=r^2[/tex]
We have the radius of the lake to be r=10 units.
b) The bridge is represented by the function y −x = 2
This is the same as y=x+2
We substitute this into the equation of the circle to get:
[tex]x^2+(x+2)^2=100[/tex]
[tex]x^2+x^2+4x+4-100=0[/tex]
[tex]2x^2+4x-96=0[/tex]
[tex]x^2+2x-48=0[/tex]
[tex](x+8)(x-6)=0[/tex]
[tex]x=-8,x=6[/tex]
When x=8, y=2(8)+2=18
When x=-6, y=2(-6)+2=-10
The length of the bridge is the distance between the points (8,18) and (-6,-10)
[tex]=\sqrt{(8--6)^2+(18--10)^2}[/tex]
[tex]=\sqrt{196+784}[/tex]
[tex]=\sqrt{196+784}[/tex]
[tex]=\sqrt{980}[/tex]
[tex]=14\sqrt{5}[/tex]
Find the surface area of each pyramid to the nearest whole number.
Your answer would be A = 444.72 Or 445
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
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:
Let F(x) 3x^2+2
The quadratic function g(x) is the function f(x) stretch vertically by a factor of 4
Enter the equation of g(x) in the box
Answer: g(x)=12x^2+8
Step-by-step explanation:
original function f(x)=3x^2+2
Now to stretch function vertically and rename to g(x) we just multiply the function by 4;
g(x)=4(3x^2+2)=12x^2+8
Any questions feel free to ask. Thanks
The equation of the function f(x) after stretching is g(x) = 12x² + 8.
What is a function ?A function is a law that relates a dependent and an independent variable.
The function given is
F(x) = 3x²+2
For when a function is vertically stretched
F'(x) = k .F(x)
k >1
here it is given that k = 4
The equation becomes
g(x) = 4( 3x²+2 )
g(x) = 12x² + 8
Therefore , The equation of the function f(x) after stretching is g(x) = 12x² + 8.
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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
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:
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
Find the domain and range of the function.
f(x) = |x – 4| + 3
[tex]f(x) = |x-4|+3 \\ \\ \text{We have no existential conditions: }\\ \Rightarrow D = \mathbb{R}\\ \\ |x-4|\geq 0~~\big|+3 \Rightarrow |x-4|+3 \geq 3 \Rightarrow f(x) \geq 3 \\ \\ \Rightarrow \text{The range of the function is }[3,+\infty)[/tex]
ANSWER
Domain:
All real numbers
Range:
[tex]y \geqslant 3[/tex]
EXPLANATION
The given function is
[tex]f(x) = |x - 4| + 3[/tex]
This is the function obtained by the shifting the base absolute value function to the right by 4 units and up by 3 units.
The vertex of this function is at:
(4,3)
The domain is all real numbers because there is no x-value that will make the function undefined.
The least y-value on this graph is 3.
The graph opens up forever.
The range is [3,∞) or y≥3
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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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]
order from least to greatest:
210%, 2.2 2.2(repeating), 43/20
The order from least to greatest would be first 210%, 43/20, then 2.2222
To order the numbers, they were first converted to decimals: 210% to 2.10, 43/20 to 2.15, and 2.2 (repeating) is slightly more than 2.2. Placing these in order yields: 2.10, 2.15, 2.2 (which includes 2.2 repeating).
Explanation:To order the given numbers from least to greatest, we first need to convert all of them to the same format. We have one in percentage (210%), two decimals (2.2 and 2.2 repeating), and a fraction (43/20).
210% as a decimal is 2.10.2.2 is already in decimal form.2.2 (repeating) means 2.222... which is essentially the same as 2.2 for comparison purposes here.The fraction 43/20 converts to 2.15 as a decimal.Now we can easily compare these numbers:
2.2 (repeating) or 2.22.243/20 or 2.15210% or 2.10As 2.2 (repeating) is marginally larger than 2.2 but essentially they can be considered as equal for comparison. Hence, the ordered list from least to greatest is: 2.10, 2.15, 2.2 (or 2.2 repeating).
Simplify the variable expression by evaluating it's numerical part m-13+42-6
ANSWER
[tex]m + 23[/tex]
EXPLANATION
The given expression is
[tex]m - 13 + 42 - 6[/tex]
We regroup the numerical parts to get;
[tex]m + 42 - 6 - 13[/tex]
Now let us simplify the negative numbers.
[tex]m + 42 - 19[/tex]
We now subtract 19 from 42 to get;
[tex]m + 23[/tex]
We can't simplify further
Hence the simplest form is:
[tex]m + 23[/tex]
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]
Which inequality is graphed on the number line
A. 2(m-3)+7_>11
B.2(m+3)+7_>11
C.2(m-3)-7_<11
D.2(m+3)-7_<11
The equality that is graphed on the line is 2(m-3)+7>11 (A).
The correct inequality graphed on the number line is option C: [tex]\(2(m-3)-7 \leq 11\)[/tex].
To determine the correct inequality graphed on the number line, let's analyze the highlighted region (5 to 10) and compare it with the given options.
The highlighted region indicates values greater than 5. Now, testing each option:
A. [tex]\(2(m-3)+7 \geq 11\)[/tex]:
[tex]\[2(m-3)+7 \geq 11\][/tex]
[tex]\[2m - 6 + 7 \geq 11\][/tex]
[tex]\[2m + 1 \geq 11\][/tex]
[tex]\[2m \geq 10\][/tex]
[tex]\[m \geq 5\][/tex]
B. [tex]\(2(m+3)+7 \geq 11\)[/tex]:
[tex]\[2(m+3)+7 \geq 11\][/tex]
[tex]\[2m + 6 + 7 \geq 11\][/tex]
[tex]\[2m + 13 \geq 11\][/tex]
[tex]\[2m \geq -2\][/tex]
[tex]\[m \geq -1\][/tex]
C. [tex]\(2(m-3)-7 \leq 11\)[/tex]:
[tex]\[2(m-3)-7 \leq 11\][/tex]
[tex]\[2m - 6 - 7 \leq 11\][/tex]
[tex]\[2m - 13 \leq 11\][/tex]
[tex]\[2m \leq 24\][/tex]
[tex]\[m \leq 12\][/tex]
D. [tex]\(2(m+3)-7 \leq 11\)[/tex]:
[tex]\[2(m+3)-7 \leq 11\][/tex]
[tex]\[2m + 6 - 7 \leq 11\][/tex]
[tex]\[2m - 1 \leq 11\][/tex]
[tex]\[2m \leq 12\][/tex]
[tex]\[m \leq 6\][/tex]
Therefore, the correct inequality graphed on the number line is option C: [tex]\(2(m-3)-7 \leq 11\)[/tex].
How can the name of a prism or a pyramid help you visualize the cross sections of the solid?
For example a square base pyramid has a square base so you can visualise the cross sections easily. Another example is a triangular prism, you can visualise the sections
Hope this helps kind off :)
Answer:
If you have a pyramid, you know the it's made of a triangle. If you have a prism with the name beginning with square base, then you know it's going to start with a square.
Step-by-step explanation:
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 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
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.
____________________________________________________
a group of workers takes 5/6 days to plant 3/5 acres. what is the unit rate in acres per day?
The unit rate, or the number of acres the workers can plant in one day, is calculated by dividing the total number of acres (3/5) by the number of days worked (5/6). The result is 18/25 acres per day, or approximately 0.72 acres per day.
Explanation:In this example, we need to find out how many acres the workers plant in one day, also known as the unit rate.
To calculate this, we divide the total amount of acres (3/5) by the total number of days taken (5/6).
So the formula would be: (3/5) ÷ (5/6) = (3/5)*(6/5) = 18/25.
So, the unit rate in acres per day for the group of workers is 18/25 acres/day, which means they plant approximately 0.72 acres per day.
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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
Two angles of a triangle have the same measure and the third one is 12 degrees greater than the measure of each of the other two. Find the measure of the LARGEST angle in the triangle.nah
Answer:
68
Step-by-step explanation:
Let x be the measure of one of the angles of the triangle
Two of the angles have the same measure, so another angle is x
The third is 12 degrees more, x+12
The sum of the three angles of a triangle is 180
x+x+x+12 = 180
Combine like terms
3x+12 = 180
Subtract 12 from each side
3x+12-12 = 180-12
3x = 168
Divide by 3
3x/3 = 168/3
x = 56
x=56
x=56
x+12 = 56+12 = 68
The largest angle is 68
A survey of pet owners found that on average, they spend $1,225 annually per pet, with a standard deviation of $275. Between which two amounts would you expect 95% of the survey’s respondents to spend annually per pet if the sample is approximately normal and comes from a normally distributed population? $675 and $1,500 $675 and $1,775 $950 and $1,500 $950 and $1,775
Answer:
B.$675 and $1,775
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
e2020 exam
Help please, thanks.
Answer:
B
Step-by-step explanation:
C = R/1.8 - 273
C + 273 = R/1.8
1.8 * (C + 273) = R
1.8 can also be read as the fraction 9/5.
9/5 * (C + 273) = R
Thus your answer is B. Hope I helped!
So, if you add it all up it would be...
1.8 which could also be in the fraction form of 9/5 and 9/5 would be basically C.
So, even though C has 5/9 in the front that wouldn't be the case. It would be the one in parentheses we would be focusing on. So, the answer all together would be C.
I Hope this helps! c:
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
sue measured the height of her classroom door. wich could be the height of the door
Answer:
Not enough information
Step-by-step explanation:
how to solve system of equation from a table
Answer:
Look for the same entry in both (all) tables.
Step-by-step explanation:
We assume here that the system of equations consists of two equations in two variables. If there are more equations in more variables, the general approach is the same.
A "solution" to a system of equations is a set of variable values that satisfies all equations of the system simultaneously. A table for one equation will generally list sets of variable values that satisfy that equation. When the same set of values appears in the table for each of the equations, then that set of values is the solution.
__
Example
The attachment shows tables for two equations:
y = 2xy = x+3Highlighted are the table entries that are the same for both equations. This is the solution to the system of equations. (x, y) = (3, 6) satisfies both equations:
6 = 2·36 = 3+3