Step-by-step explanation:
13 pounds of sugar for $6.
for a single pound of sugar we need to divide everything by 13 to keep the same ratio (relationship).
1 pound cost then 6/13 = 0.461538462... ≈ $0.46
Grades 3, 4, and 5 have their annual field day together. Each grade is given 15 gallons of water. If there are a total of 370 students, will there be enough water for each student to have 2 cups? First, solve for how many cups the students have.
Using proportions, it is found that the number of cups per student is of 1.97. hence there will not be enough for each student to have 2 cups.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three.
Each gallon is worth 16 cups, hence, since each grade is given 15 gallons of water, and the trip consists of three grades, the number of cups is given by:
C = 3 x 15 x 16 = 720.
There is a total of 370 students, hence the number of cups per student is given by:
n = 720/370 = 1.97.
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What is the measure of angle B in degrees
Angle C and the 112 degree angle are supplementary, so angle C measures 180-112=68 degrees.
This means that by the exterior angle theorem, [tex]m\angle B=51^{\circ}+68^{\circ}=\boxed{119^{\circ}}[/tex]
Find the area of the sector in terms of pi. 170 6 Area = [?] T
Answer:
see the attachment photo!
The product of 80 and 5,000 is...
Answer: 400,000
Step-by-step explanation:
The product is the result of multiplication. In other words, you would multiply 80×5,000.
I hope this helps!! :)
( brain + 95 points ) A triangular prism has a height of 10 cm and the triangle has a base of 4 cm and a height of 6 cm. Find the volume of the triangular prism.
Area of base
1/2BH1/2(4)(6)2(6)12cm²Volume
Area of base× height12(10)120cm³According to the general equation for conditional probability, if P(A n B') = 2/9 and P(B) = 1/3, what is P( A I B')?
A. 5/6
B. 2/3
C. 1/6
D. 1/3
Answer:
B. 2/3Step-by-step explanation:
Formula:
[tex]p\left( A|B\right) =\frac{p\left( A\cap B\right) }{p\left( B\right) }[/tex]
Then
[tex]p\left( A|B\right) =\frac{\frac{2}{9} }{\frac{1}{3} } =\frac{2}{9} \times \frac{3}{1}=\frac{6}{9}=\frac{2}{3}[/tex]
HELP ASAP!!!!!!!!!!!
Answer:
a) ΔCED ~ ΔCAB
b) 157.5 m
Step-by-step explanation:
The similarity statement for geometric figures lists the corresponding vertices in the same order. Corresponding sides of similar figures are proportional. That fact can be used to find the missing side length.
__
a)The right angles are corresponding. Angle C corresponds to itself, so the similarity statement can be written ...
ΔCED ~ ΔCAB
__
b)Corresponding sides are proportional, so we can write ...
AB/AC = ED/EC
AB/(50+160) = 120/160 . . . . . using the numerical values
AB = 210 × 120/160 = 157.5 . . . meters
The length of the lake is 157.5 meters.
Which of the following produces an image that is not congruent to the pre-image?
A. translation
B. dilation
C. rotation
D. reflection
Answer:
Dilation
Step-by-step explanation:
it’s a dilation because the dilation changes how big the image is or what it looks like after the original image.
A bowl contains 28 black, 21 red, 23 blue, and 10 green balls
A ball is drawn at random. P (blue).
Answer:
P (blue) = 23 / 82
Step-by-step explanation:
There are 23 blue out of 82 (28 + 21 + 23 + 10 = 82) balls
or,
23 / 82
So, the probability of a blue ball being chosen is 23/82
(or a 28% chance [rounded])
Two triangles are proportional, and the first triangle has a base of 10 cm and a height of 15 cm. If the base of the second triangle is 12 cm, what is the height of the second triangle?
Answer: b1/b1=h1/h2=10/12=15/h2 so use criss cross and equel to 15×12=10h2 both sides devide by 10 and equel 180/10=18
so h2=18
choose the symbol for the line XY.
The mathematical symbol for the line XY is XY(a line on top it) . The first option
How to represent a line with a symbol?There are so many mathematical symbols use in geometry. They include ∠(angles), ⊥(perpendicular line), Δ(triangle), ≅(congruency) and many more.
Therefore, the symbol for the line XY is as follows;
XY(a line on top it)
It means line segment "XY"
In words, it is the line segment between X and Y
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When Jessie goes to the mall, she alwavs makes sure to have $10 for lunch at the food court. At the tood court, her favorite restaurant is Wings I Stuff. Each bone-in wing costs $0.35 each and each boneless wing costs 50.45 each. What is the greatest number of each wing that she can purchase with her money?
The computation shows that the greatest number of each wing that she can purchase with her money will be 28 wings.
How to calculate the value?From the information, Jessie goes to the mall, she alwavs makes sure to have $10 for lunch at the food.
In this case, he cannot be able to buy boneless wings a it cost $50.45. Therefore, the number of bone in wing that can be bought will be:
= 10/0.35
= 28
Therefore, the computation shows that the greatest number of each wing that she can purchase with her money will be 28 wings.
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Select ALL the correct answers. Let f(t) be the amount of garbage, in tons, produced by a city, and let t be the time in years after 2000. Which statements are true for the given function? When f(12) = 2,155, the 12 represents "12 tons of garbage produced," and the 2,155 represents "the year 2155." The independent variable is t. The dependent variable is f(t). The independent variable is f(t). The dependent variable is t. When f(4) = 1,458.6, the 4 represents "the year 2004," and the 1,458.6 represents "1,458.6 tons of garbage produced." When f(2) = 1,323, the 2 represents "the year 2002," and the 1,323 represents "1,323 tons of garbage produced." Reset Next
Using function concepts, it is found that the correct statements are given by:
The independent variable is t. The dependent variable is f(t).When f(4) = 1,458.6, the 4 represents "the year 2004," and the 1,458.6 represents "1,458.6 tons of garbage produced." When f(2) = 1,323, the 2 represents "the year 2002," and the 1,323 represents "1,323 tons of garbage produced."What does the function f(t) represents?It gives the amount of garbage, in tons, produced by a city in t years after 2000.
The amount depends on the number of years, hence:
t is the independent variable.f(t) is the dependent variable.Hence, the correct statements are given by:
The independent variable is t. The dependent variable is f(t).When f(4) = 1,458.6, the 4 represents "the year 2004," and the 1,458.6 represents "1,458.6 tons of garbage produced." When f(2) = 1,323, the 2 represents "the year 2002," and the 1,323 represents "1,323 tons of garbage produced."More can be learned about functions at https://brainly.com/question/25537936
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Select the correct answer. If is modified as , what transformations will be seen in the graph? A. The graph will reflect across the x-axis and then shift units up. B. The graph will reflect across the y-axis and then shift units down. C. The graph will reflect across the x-axis and then shift units to left. D. The graph will reflect across the y-axis and then shift units to right.
The transformation is (b) The graph will reflect across the y-axis and then shift 5 units down.
How to determine the transformation?The missing phrase in the question is: "If f(x) = 2ˣ + 1 is modified as g(x) = 2⁻ˣ + 1 - 5"
The functions are given as:
f(x) = 2ˣ + 1
g(x) = 2⁻ˣ + 1 - 5
First, the function f(x) is reflected across the y-axis (this eliminates options a and c)
The rule of this transformation is
(x,y) ⇒ (-x,y)
So, we have:
f'(x) = 2⁻ˣ + 1
Next, the function f(x) is shifted down by 5 units (this eliminates options d)
The rule of this transformation is
(x,y) ⇒ (x,y - 5)
So, we have:
f''(x) = 2⁻ˣ + 1 - 5
By comparing the functions f"(x) and g(x), we have:
g(x) = f''(x) = 2⁻ˣ + 1 - 5
Hence, the transformation is (b) The graph will reflect across the y-axis and then shift 5 units down.
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A large construction company wants to review the ages of its sales representatives. A sampling of the ages of 25 sales reps are given:
50 42 32 35 41 44 24 46 31 47 36 32 30 44 22 47 31 56 28 37 49 28 42 38 45
The following histogram is a representation of the data.
A histogram has ages on the x-axis, and frequency on the y-axis. Ages 20 to 24 has a frequency of 2, 25 to 29 is 2, 30 to 34 is 5, 35 to 39 is 4, 40 to 44 is 5, 45 to 49 is 5, 50 to 54 is 1, 55 to 59 is 1.
Calculate the mean and median ages.
a.
The mean age is 38.28. The median age is 38.
b.
The mean age is 38. The median age is 38.28.
c.
The mean age is 37.08. The median age is 38.
d.
The mean age is 36.88. The median age is 37.08.
Please select the best answer from the choices provided
A
B
C
D
The mean and median of the given set of data are respectively; The mean age is 38.28. The median age is 38.
How to find the mean and median of a set of data?The mean simply means the average of the set of data. Thus;
Mean = ∑x/n
∑x = 22 + 24 + 28 + 28 + 30 + 31 + 31 + 32 + 32 + 35 + 36 + 37 + 38 + 41 + 42 + 42 + 44 + 44 + 45 + 46 + 46 + 47 + 47 + 49 + 50
∑x = 957
Mean = 957/25
Mean ≈ 38.28
B) Median is the midterm when arranged in ascending order. When we arrange in ascending order, we get;
22, 24, 28, 28, 30, 31, 31, 32, 32, 35, 36, 37, 38, 41, 42, 42, 44, 44, 45, 46, 46, 47, 47, 49, 50
Thus, the median is 38.
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Find the surface area of this cube 7m 7m 7m. Be sure to include the correct unit in your answer.
Answer:
294[tex]m^2[/tex]
Step-by-step explanation:
The area of one face of the cube would be 7 x 7 = 49 [tex]m^2[/tex]
Since there are 6 faces on a cube, the total surface area would therefore be 49 x 6 = [tex]294m^2[/tex]
How do I complete this?
Answer + Step-by-step explanation:
CE bisects AB
CE ⊥ AB
Then
CE is the perpendicular bisector of AB.
Therefore
CA = CB and DA = DB
…………………………………
we have :
CA = CB
DA = DB
CD is a common side of the two triangles ACD and BCD
Hence , ΔACD ≅ ΔBCD
⇒ ∠CAD ≅ ∠CBD.
anyone who can solve this problem
(•‿•｡◕‿◕｡｡◕‿◕｡｡◕‿◕｡｡◕‿◕｡｡◕‿◕｡｡◕‿◕｡
Find the missing side of this right triangle.
X
9
22
X = [?]
Enter the number that belongs in the green box.
Answer:
x = sqrt(403)
Step-by-step explanation:
Use Pythagorean Theorem for right triangles
x^2 + 9^2 = 22^2
x = sqrt 403
Which equation is the inverse of 5y+4= (x+3)² + 2?
is the U.S. ever on sale to canadians?
Answer:
No because Us is powerful country canada is also powerful but U S ever sale to candians
Fill in the blank.
5 × 5/2 = __ x 1/6
Answer:
25
Step-by-step explanation:
When multiplying a whole number by a fraction, the first step is to multiply the whole number by the numerator. Then, you divide by the denominator. For example, on the left side, 5 x 5 = 25. You are left with 25/6. Finally, when you divide by 6, you are left with 4.166.....
If the denominator is the same (6) on both sides, to get the same answer, you somehow need to get the numerator (25) the same. So, what whole number can be multiplied by 1 to get 25? This number is 25. Therefore, the missing number is 25. This answer is correct because 25 x 1 = 25. You would be left with 25/6 and get a final answer of 4.166....
Estimate the product.
14×212
Find the quotient.
7/8 ÷ 2 1/4
WILL GIVE 30 POINTS
Step-by-step explanation:
Hello there!
This is how we solve this problem
7/8 ÷ 2 1/4
[tex] \frac{7}{8} \div 2 \frac{1}{4} \: conveting \: to \: improper \: faction\\ \\ = \frac{7}{8} \div \frac{9}{4} \\ = \frac{7}{8} \times \frac{4}{9} \: multiply \: through \\ = \frac{7}{18} [/tex]
= 7/18
I hope this helps.
Have a nice studies.
Explain how you would use addition to find the product of -2 and 5
PLEASE ILL GIVE 25 POINTS ANS MARK BRAINIEST IF SOMEONE GIVES ME THE RIGHT ANSWER PLEASE PLEASE PLWASE
Answer:
Radius:3.14
Circumference: 6.28
Step-by-step explanation:
C=2(pi)(r)
replace r with 1
and you get 6.28
R=(pi)(r)^2
Replace r with 1
multiply and you get 3.14
Solve
x=4
-7x +y =-22
Answer:
y = 6
Step-by-step explanation:
-7 (4) + y = -22
-28 + y = - 22
+28 + 28
y = 6
Which of the following is an example of a permutation?
The correct answer that is an example of a permutation is; D: The number of ways 7 books can be selected from 50.
How to solve permutation problems?
Formula for permutation is;
nPr = n!/(n - r)!
Now, permutation is defined as the arrangement of objects in a definite order. Thus, looking at the given options, the only one that depicts permutation is Option D.
Thus, the correct answer is the number of ways 7 books can be selected from 50.
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can someone help please
Answer:
2 good scoops
Step-by-step explanation:
I got you I think
Triangle XYZ is rotated 90º clockwise about the origin to form triangle X'Y'Z', then reflected across the x-axis to form triangle X''Y''Z''. Which of the following statements is true for ΔXYZ and ΔX''Y''Z''? Question 25 options: ΔXYZ and ΔX''Y''Z'' are similar ΔXYZ and ΔX''Y''Z'' are congruent ΔXYZ and ΔX''Y''Z'' are neither congruent nor similar There isn't enough information given to identify whether ΔXYZ and ΔX''Y''Z'' are similar or congruent
1.ΔXYZ and ΔX''Y''Z'' are similar
2.ΔXYZ and ΔX''Y''Z'' are congruent
3.ΔXYZ and ΔX''Y''Z'' are neither congruent nor similar
4.There isn't enough information given to identify whether ΔXYZ and ΔX''Y''Z'' are similar or congruent
The statement that is true for ΔXYZ and ΔX''Y''Z'' is; 2: ΔXYZ and ΔX''Y''Z'' are congruent
How to identify coordinates of transformed triangles?We are told that;
- Triangle XYZ is rotated 90º clockwise about the origin to form triangle X'Y'Z'.
- Thereafter, reflected across the x-axis to form triangle X''Y''Z''
Now, in transformation, Reflection is flipping an object across a line without changing its size or shape while Rotation is rotating an object about a fixed point without changing its size or shape. Thus, it means that the size and shape of the triangle formed is not different from the original one.
Thus, we can say that both triangles are congruent because the shape and size didn't change.
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