Answer:
14 cups
Step-by-step explanation:
Amount of juice had = 7/5 gallons
Cup to fill = 1/10 gallons
We can therefore write;
1cup = 1/10 gallons
x cups =7/5 gallons
ross multiply
1/10 x = 7/5
x/10 = 7/5
70 = 5x
x = 70/5
x = 14
Hence 14 cups cam be filled
I need a little help here, please and thank you guys
Answer-So the dimensions of the rectangle are width is 4 m and length is 11 m
Step-by-step explanation:
Equation for Perimeter of a rectangle: Perimeter = 2W + 2L
Defining the variables, let
Width = x
Length = 2x+3 (3 more than twice the width)
Plugging everything into the equation
30= 2(x) + 2(2x+3) using the distributive property,
30=2x+4x+6 combining like terms
30=6x+6 subtracting 6 from both sides,
24=6x divide both sides by 6
4=x This means that the width is 4 m
To get the length, use the expression L=2x+3 and plug in x = 4 that was already solved for
L=2(4)+3
L=8+3 = 11 m
So the dimensions of the rectangle are width is 4 m and length is 11 m
A Light Rail ticket in Baltimore for a one-way trip costs $1.60. Would it have been a better deal for Mr. K to buy the day pass at $5.20 if he needed to make 3 one way trips?
Answer:
no, three one way tickets are cheaper by 0.40 cents
Step-by-step explanation:
A Light Rail ticket in Baltimore for a one-way trip costs $1.60. Would it have been a better deal for Mr. K to buy the day pass at $5.20 if he needed to make 3 one way trips?
My explanation; 1.60+1.60= 3.20+1.60=4.80. so three one way trips will equal out to be 4.80, while a day pass is 5.20.
Someone help ASAP PLEASE
Answer: 7 1/2 minutes
Answer:
7.5 mins.
Step-by-step explanation:
We know the unit rate is 1.5 mins for 1 km. So we can just multiply both numbers by 5.
1.5/1 = 7.5/5
It takes a shark 7.5 (7 1/2) minutes to swim 5 km.
help 5 start rating helpp\ plzzzzz
Answer:
hwbqjakakakakakakamamakjajajq
a + bx: a = 15,b= -4, and x = -3
At a swimming race, 3 out of 10 swimmers won a ribbon. What percent of the swimmers won a ribbon?
Answer:
30% of the swimmers won a ribbion
and 70% didnt
Step-by-step explanation:
Anyone help please, can anybody help me with these questions?
Answer:
what are they
Step-by-step explanation:
we cant see anything
Parallelogram ABCD is a square. The length of side BC = x +4 and the perimeter of ABCD = 80, what is the length of side BC?
Answer: 20
Step-by-step explanation: ABCD Equals 80 so each side would be 20. 20 , 40 , 60 , "80".
Answer:
the answer is 20 i got it right on the test
Step-by-step explanation:
Please I need help like now
Answer:
it's is d
Step-by-step explanation:
seening this info
for every 2/3 of cold water there is 1/2 of vegetable Oil
to make this answer complte if if we add a another cup of water the amount that is requared and since were adding 1/2 of oil which is 2/3 of water need adding 2/3+2/3=4/3
Hence 4/3 or D is right
There are 5 times as many boys as girls in a school.
Together the school has 810 pupils.
How many boys are there?
Triangle ABC is reflected across line n to create A'B'C'.
C
57
59°
A
61
67
B
B
n
А
What is the measure of
Answer:
Angle C is 54 degrees
Step-by-step explanation:
Angle B is 67 degrees and Angle A is 59 degrees. You add those two together to get 126 and subtract that from 180 to get the measure of Angle C
The measure of angle C is 54°.
From the diagram given, triangle A'B'C is a reflection of triangle ABC, therefore, triangle A'B'C' is similar to triangle ABC.
This implies that:angle A = angle A' = 59°
angle B = angle B' = 67°
angle C = angle C' = ?
Therefore,angle C = 180 - (angle A + angle B) ---> Sum of angles in a triangle equals 180°.
Plug in the valuesangle C = [tex]180 - (59 + 67)\\[/tex]
angle C = 54°
Therefore, the measure of angle C is 54°.
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Suppose that populations of men and women have the following summary statistics for their heights (in
centimeters):
Mean
Standard deviation
Men
HM = 172
M = 7.2
Women
Uw = 162
ow = 5.4
Both distributions are approximately normal. Suppose we randomly select a man and a woman from each
population, and calculate the difference between their heights. We can assume that their heights are
independent
Find the probability that the woman is taller than the man
You may round your answer to two decimal places
IN
P woman taller
Answer:
.13
Step-by-step explanation:
172-162 = 10
We can find the standard deviation of D by adding the variances of the heights and taking the square root:
σ
D
2
σ
D
2
σ
D
=σ
M
2
+σ
W
2
=7.2
2
+5.4
2
square root of 81
=9
Representing probability with area
When D= M-W =0, their heights are equal. When the man is taller, D is positive, and when the woman is taller, D is negative. Since we know the distribution of the difference D is normally distributed, the probability that the woman is taller than the man can be found by calculating the shaded area below D=0, in the corresponding normal distribution:
A standard normal curve is plotted on a horizontal axis representing D, that goes from negative 17 to 37. The mean, or mu sub D, = 10. The standard deviations, or sigma sub D = 9. The value 0 is marked. The area under the curve to the left of 0 is shaded, representing the probability that the woman is taller. The area to the right represents the probability that the man is taller.
normalcdf:
lower bound: −9999
upper bound: 0
μ=10
σ=9
Using subtraction of normal variables, it is found that there is a 0.1335 = 13.35% probability that the woman is taller than the man.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X. When two measures are subtracted, the mean is the subtraction of the means while the standard deviation is the square root of the variances.In this problem:
Men have mean weight of 172 cm, women of 162 cm, hence, for the distribution of the differences, the mean is [tex]\mu = 162 - 172 = -10[/tex].The standard deviation is the square root of the sum of the variances, hence [tex]\sigma = \sqrt{7.2^2 + 5.4^2} = 9[/tex]The probability of the women being taller is P(X > 0), which is 1 subtracted by the p-value of Z when X = 0.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{0 - (-10)}{9}[/tex]
[tex]Z = 1.11[/tex]
[tex]Z = 1.11[/tex] has a p-value of 0.8665.
1 - 0.8665 = 0.1335
0.1335 = 13.35% probability that the woman is taller than the man.
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1.) Given : S is the midpoint of RT; PR = PT
Prove : PRS = PTS
2.) Given : E is the midpoint of AB and CD
Prove: AEC=BED
Answer: 1.
Given: S is the midpoint of RT
PR=PT
To Prove: PRS=PTS
Step-by-step explanation:
If PR=PT in a triangle PRT, then the triangle is isosceles triangle.
Therefore, ∠PRT=∠PTR (opposite angles of an isosceles triangle are equal)
In ▲PRS and ▲PTS
PR=PT
∠PRT=∠PTR
PS=PS (PS is common)
therefore, ▲PRS≅▲PTS
Therefore, ∠PRS=∠PTS
Hence proved.
Answer: 2.
Given: E is the midpoint of AB and CD.
To Prove: AEC=BED
Step-by-step explanation:
If AB and CD are the diagonals of rectangle, then
diagonals AB=CD, sides AC=BD and AD=BC
In ▲AEC and ▲BED,
∠AEC=∠BED(vertically opposite angles)
AE=BE
AC=BD
therefore, ▲AEC≅▲BED
Therefore, ∠AEC=∠BED
Hence Proved.
The proofing of each part should be explained below.
Prove:a.
In the case when
PR=PT in a triangle PRT,
So the triangle is an isosceles triangle.
Therefore, ∠PRT=∠PTR
Now
In ΔPRS and ΔPTS
PR=PT
So,
∠PRT=∠PTR
So,
PS=PS (PS is common)
ΔPRS≅ΔPTS
Hence proved.
2.
In the case when AB and CD are the diagonals of the rectangle,
So,
diagonals AB=CD, sides AC=BD and AD=BC
In ΔAEC and ΔBED,
So,
∠AEC=∠BED
That means
AE=BE
AC=BD
therefore, ΔAEC≅ΔBED
Hence Proved.
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1. A television is advertised for sale at 33% off. The original price is x dollars. (a) Write two different equivalent expressions to represent the sale price of the TV. (b) What do the two different expressions reveal about the relationship between the sale price and the original price? Answer:
Answer:
1. (a) x-0.33x and 0.67x
1. (b) The differences between the two is the expression and the variable (x) are in difference place.
2. (a) 7h
2. (b) 5h
2. (c) I'm not complete sure but I assume you add 7h and 5h but add a expression using those numbers and variable.
Step-by-step explanation:
~~I hope this helps~~
I'm sorry if it's late. I go to 12k as well, I'm in 7th grade. :)
Divide 5,917 ÷ 37 = ________.
161 r 9
161 r 34
159 r 9
159 r 34
Answer:
the last one
Step-by-step explanation:
37*159+34=5917
Answer:
159 r 9
Step-by-step explanation:
the quotient of 5 ÷A is equal _ the quotient of A ÷ 5
Answer:
5÷A and A÷5=A×A and 5×5=A=25
Evaluate the expression 9 + (7 - 4)2 ÷ 3.
6
3
18
12
Answer:
11
Step-by-step explanation:
None of these answer choices you have are correct. you have to do parentheses first, which gives you 9 + (3)2/3, then you do division which gives you .6666666666, then you multiply that by 3 and you get 2 and add that to 9
1 is 25% of what number?
Answer:
4
hope it helps.........
Answer:
1 is 25% of 4
Step-by-step explanation:
let the number be x,
so, 25% of x = 1
=》25/100 × x = 1
=》 1/4 × x = 1
=》 x = 1×4
=》 x = 4
hence the required number is 4
i hope u got it
Rotate the vector (5,1) 90°
clockwise about the origin.
Answer:
(-1, 5)
Step-by-step explanation:
this is correct
The new coordinates of the vector (5,1) after rotating it 90° clockwise about the origin would be (-1,5).
What is a transformation?A point is transformed when it is moved from where it was originally to a new location. Translation, rotation, reflection, and dilation are examples of different transformations.
Rotating a vector 90° clockwise in a 2D coordinate system can be accomplished by "flipping" the vector's x and y coordinates and then negating one of them.
In this case, the original x-coordinate is 5 and the y-coordinate is 1.
When we negate the x-coordinate and swap the positions of x and y, we get the new coordinates of (-1,5).
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The width of the rectangle is 40% of its length. What is the area of the rectangle?
A rectangle. The length is 20 feet.
Answer:
160in²
Step-by-step explanation:
40% = 0.4 = 4/10
The length is 20, 40% of that is (0.4)(20) = 8in
Length * width . = 20*8 = 160in²
The width of the rectangle is equal to 8 feet.
What is the area of the rectangle?The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.
The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that the width of the rectangle is 40% of its length.
The width will be calculated as,
W = 0.4 x L
W = 0.4 x 20
W = 8 feet
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16.437 rounded to the nearest tenth is 16.4.
Answer:
yes
Step-by-step explanation:
Answer:
16.437 rounded to the nearest tenth is 16.4
Step-by-step explanation:
the sum of 1 1/3 and 5/6
Answer:
2 1/6
Hope this helps!
Answer:
the right answer is 9/2
Step-by-step explanation:
thanks
Divide 18 and 904 please I don’t want to be wrong
Answer:
452/9 or 50 2/9
Step-by-step explanation:
I don’t know if theses are the right answer that’s what I got
I hope so they are right
The graph of an absolute value function contains the points (1, 2), (0, 0), and (–1, 2). Shawn thinks the function this graph represents is f(x) = 2|–x|. Brielle thinks the function this graph represents is f(x) = 2|x|. Determine who is correct and explain why.
Answer:
Shawn and Brielle are correct, since absolute has the following property: [tex]|a| = |-a|[/tex], [tex]a\in \mathbb{R}[/tex]
Step-by-step explanation:
Both Shawn and Brielle are correct, because the absolute value has the following property:
[tex]|a| = |-a|[/tex], [tex]a\in \mathbb{R}[/tex]
Which means that [tex]|x|[/tex] and [tex]|-x|[/tex] gives the same result.
Answer:
Both Shawn and Brielle are correct. The absolute value parent function is symmetric with respect to the y-axis, and the absolute value of negative x is a reflection across the y-axis, so the graph of these two functions would look identical. Additionally, if you wanted to verify that the given points are on the graph of both functions, you could substitute them into the functions to get true statements.
Step-by-step explanation:
Sample Answer on Edge
Consider the function given by the graph. What are
these values?
f-2)=
fo) =
f4) =
The function f(x) for the input values are f(-2) = 2, f(0) = 3 and f(4) = -1
How to evaluate the piecewise function f(x) for the input valuesFrom the question, we have the following parameters that can be used in our computation:
The graph of a function and a set of input values
The input values are given as
–2, 0, and 4
Next, we read the above input values from the graph
Using the above as a guide, we have the following:
f(-2) = 2
f(0) = 3
f(4) = -1
Hence, the values are f(-2) = 2, f(0) = 3 and f(4) = -1
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PLEASE ANSWER ASAP FOR BRANLEST!!!!!!!!!!!!!!!
Solve the equation
9(k - 2) = -6
what is k?
Answer:
k= 4/3
Step-by-step explanation:
distribute 9 9k- 18=-6
add 18 to both sides 9k= 12
divide by 9
The value of k is 4/3 or 1.334.
What is Equation?A statement that supports the equality of two expressions that are connected by the equals sign "=" is an equation.
An equation is a condition on a variable in algebra. It only holds true for a specific value of the variable.
Polynomial equations and linear equations are two prominent families of equations that algebra takes into account.
Given equation
9(k - 2) = -6
9k - 18 = -6
add 18 both sides
9k - 18 + 18 = -6 + 18
9k = 12
k = 12/9 =4/3 = 1.334
Hence the value of k is 4/3 or 1.334.
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Factor the polynomial completely.
3x^(2) - 8x + 5
Answer:
(x-1) (3x-5)
Step-by-step explanation:
i hope this helps have a wonderful day!
Answer:
i am only in 8th grade but this is the answer
(x-1)(3x-5)
Step-by-step explanation:
What is the slope of the line whose equation is y=3/5x-4
PLZ HELP ME. 3 questions be my angel.
Answer:
82
Step-by-step explanation:
eat good
In the diagram the radius of the outer circle is 2x cm and the radius of the inner circle is 6 cm. The area of the shaded region is 160
let's find the area of the outer circle and the inside circle
the inside's circle area
A= π x 6²=36π
the outer's
A' = π x 4x²= 4πx²
A'-A=4πx²- 36π=160πcm² equivalent to x²- 9=40, so x²=49 implies x =sqrt(49)=7, x=7.