The table below shows the number of pencils and pens three friends have in their backpacks.
Who has a greater ratio of pencils to pens?
A. Lydia
B . Angel
C . Elizabeth
Answers
Answer:
Angel has a greater ratio of pencils to pens.
i.e. Angle's pencils to pens = 3 / 2 or 63/42
Thus, option (B) is true.
Step-by-step explanation:
Considering the table
Lydia's Number of Pencils = 10
Lydia's Number of Pens = 7
Lydia's Pencils to Pens ratio = 10/7
Angel's Number of Pencils = 9
Angel's Number of Pens = 6
Angels's Pencils to Pens ratio = 9/6 = 3 / 2
Elizabeth's Number of Pencils = 12
Elizabeth's Number of Pens = 9
Elizabeth's Pencils to Pens ratio = 12/9 = 4 / 3
So, We get the inputs ratios such as:
Lydia's ratio: Angels's ratio: Elizabeth's ratio
10/7 : 3 / 2 : 4 / 3
As the least common denominator (LCD) is: 42
Rewriting as equivalent fractions with the LCD:
10/7 : 3 / 2 : 4 / 3
60 / 42 : 63/42 : 56/42
Sorting from least to greatest:
Sorting this table by the numerators of the equivalent fractions in order from least to greatest:
Elizabeth's ratio : Lydia's ratio : Angels's ratio:
4/3 : 10 /7 : 3 / 2
56/42 : 60 / 42 : 63/42
Therefore, Angel has a greater ratio of pencils to pens.
i.e. Angle's pencils to pens = 3 / 2 or 63/42
Thus, option (B) is true.
Related Questions
Determine the slope of each line.
1.
ТУ
2.
8
ty
8
115,7)
4
(6,5)
4
Х
0
-4
-8
0
-8
4 8
(
2-2)
4
-
-4, -3)
-8
S
Answers
Answer:
The slope of the given line is -4
Step-by-step explanation:
The formula of the slope of a line passes through points (x1, y1) and (x2, y2) is m = [tex]\frac{y2-y1}{x2-x1}[/tex]
In the given figure
∵ The line passes through the points (-6, 5) and (-4, -3)
∴ x1 = -6 and y1 = 5
∴ x2 = -4 and y2 = -3
→ Substitute them in the formula of the slope above
∵ m = [tex]\frac{-3-5}{-4--6}[/tex]
∴ m = [tex]\frac{-8}{-4+6}[/tex]
∴ m = [tex]\frac{-8}{2}[/tex]
∴ m = -4
∴ The slope of the given line is -4
What is the value of fraction x plus z plus y over, y, end fraction, when x equals 7, y equals minus 5, and z equals square root of 9 ?
Answers
10-5/-5
5/-5
-1
ALREADY LATE PLS HELP!!!
Answers
Answer:
36 ounces
Step-by-step explanation:
9 x 4 = 36
Plz help me out I’m so confused
Answers
Answer:
b
Step-by-step explanation:
Answer:
The correct answer would be the second option y-2=1/3(x-3)
need help asap this is due in 20 min!!! i will gove brainliest too! questions 8-11
Answers
8. x= 7
9. x= 9
10. x= -10
11. x= -18
Need help please!!!!!
Answers
Answer:
0 or 5/12
Step-by-step explanation:
with everything subtracted its 0 but with only subtracting 1/6 its 5/12
A cake recipe requires 4 and one-half cups of flour to make 1 cake. How many cakes can be made by a baker who has 16 cups of flour?
A. 3
B. 4
C. 40
D. 72
Answers
Answer:
3 cakes
Step-by-step explanation:
Answer:
3.
Step-by-step explanation:
The real answer is 3.8 but since you cannot make .8 of a cake the answer is 3.
The original price of a ski jacket was $220. It was on sale at a 25% discount. Arianna had a coupon for an additional 10% off the sale price.
What price did Arianna pay for the ski jacket?
Answers
add the two discounts of 25 and 10 percent. then your item will be 65% of the price now.
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9. The model represents an equation.
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1
1
-1
-1
1
1
-1
-1
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1
1
-1
1
1
1
What value of x makes the modeled equation true?
Answers
Answer:
1
Step-by-step explanation:
Pleaz Helpz!!! I needz this done before my final!!!
Answers
the perimeter of the field is 442
width=w
the length of the field is 9 yards less than quadruple W
L=4x - 9
the perimeter is P=2L+2W
you can plug in the values
P= 2(4w-9) + 2W
plug in 442 for P
442= 2(4w- 9) + 2W
442= 8w - 36 + 2W
478 =8w + 2W
478= 10W
47.8 is your answer!!!
If y=32 when x=8, find y when x=30.
Answers
*How to solve*
Step 1: Find how many times larger 30 is than 8
30/8= 3.75
Step 2: Multiply by y
32x3.75=120
Hope this helps comment below for more questions:)
slope =-5, y-intercept =-2
Answers
Answer:
y = -5x - 2
Step-by-step explanation:
y = mx + b
m = -5
b = -2
Step-by-step explanation:
I am not completely sure what your question is, but if you want to write an equation, you can just plug in the values for m and b to get y=-5x-2. If you wish to graph it, start at (0,-2) because that is your y-intercept. Next, move up 5 units and to the left 1 unit since the slope is negative. Now you have the point (-1,3). Connect the dots to get the graph.
Solve using graphing substitution or elimination in the picture
Answers
Answer:
1) 18 quarters and 30 nickels2) 8 quarters and 12 nickelsStep-by-step explanation:
1) Let quarters be x and nickels be y.
Equations based on given, 48 coins, total of $6 = 600c:
x + y = 4825x + 5y = 600Substitute y in the second equation, y = 48 - x
25x + 5(48 - x) = 60025x + 240 - 5x = 60020x = 360x = 18Then value of y is:
y = 48 - 18 = 302) Similarly to problem 1.
x + y = 2025x + 5y = 260Substitution: y= 20 - x
25x + 5(20 - x) = 26025x + 100 - 5x = 26020x = 160x = 8Then finding y:
y = 20 - 8 = 12A tank full of water is leaking at a constant rate for 15 minutes. The equation
y=-8x+ 500
describes the amount of water in the tank, where y is the number of liters and
xis the number of minutes that has elapsed since the tank started to leak.
Which statement is true?
A. There were 8 liters in the tank when the leak started, and it is decreasing by 500 liters per minute.
B. There were 8 liters in the tank when the leak started, and it is increasing by 500 liters per minute.
C. There were 500 liters in the tank when the leak started, and it is decreasing by 8 liters per minute.
D. There were 500 liters in the tank after 15 minutes, and it is
decreasina bv 8 liters per minute.
Answers
Answer:
C. There were 500 liters in the tank when the leak started, and it is decreasing by 8 liters per minute.
Step-by-step explanation:
-8x is the rate of the leak and 500 is the initial value for water in the tank.
A jewelry artist is selling necklaces at an art fair. It costs $135 to rent a booth at the fair. The cost of materials for each necklace is $4.50. The artist is selling the necklaces at $12 each. The inequality LaTeX: 12n > 135 + 4.50n12 n > 135 + 4.50 n represents the situation in which the artist makes a profit. Will the artist make a profit if she sells 15 necklaces? Show how you know. Be sure to indicate what the variable n represents.
Answers
Answer:
The artist will make a profit if she sells 15 necklaces. This is known because 15 is greater than 11.625 (i.e. 15 > 11.625).
Step-by-step explanation:
Note: The question contains some error. The question is therefore rewritten before is answered as follows:
A jewelry artist is selling necklace at an art fair. It costs $135 to rent a booth at the fair. The cost of material for each necklace is $4.50. The artist is selling the necklace at $12 each. The inequality 12n>135+4.50 represents the situation in which the art is making the profit. Will the artist make a profit if she sells 15 necklaces? Show how you know. Be sure to indicate what the variable n represents.
The explanation of the answer is therefore given as follows:
Given;
12n > 135 + 4.50 .................... (1)
Where n represents the number of necklace that must be sold by the artist to make a profit.
Solving for n from equation, we have:
12n > 139.50
n > 139.50 / 12
n > 11.625 ..................... (2)
Equation (2) implies that more than 11.625 necklaces must be sold by the artist to make a profit.
When the artist sells 15 necklaces, it implies that n = 15.
Since more than 11.625 necklaces must be sold by the artist to make a profit, it therefore implies that the artist will make a profit if she sells 15 necklaces. This is known because 15 is greater than 11.625 (i.e. 15 > 11.625).
How many terms are in the expression below?
-4x + 7 + 2x + 10
Answers
Answer:
3
Step-by-step explanation:
-7(x-4)
.......................
Answers
Answer:
28−7x
i think :]
aaaaaaaaaaaaaaaaaaaaahhhhhhhhhhhhhhhhh help
Answers
Answer:
x = 27
STEP BY STEP:
3 = x/9
3 = x/3 x 2
9 x 3 = x
27 = x
x = 27
Hope this helped! Have a good day!
(umm can anyone help me please) I’ll give brainlist <3
Answers
Answer:
12
Step-by-step explanation:
8 times 1.5
Consider this equation.
7.8 + 2(0.75m + 0.4) = -6.4m + 4(0.5m - 0.8)
Mia solved the equation and determined that m = 2. Is she correct?
She is incorrect because when substituting 2 for m the result was a true statement.
She is incorrect because when substituting 2 for m the result was a false statement.
She is correct because when substituting 2 for m the result was a true statement.
She is correct because when substituting 2 for m the result was a false statement.
Answers
Answer:
B . She is incorrect because when substituting 2 for m the result was a false statement.
Step-by-step explanation:
Edge. 2020
Answer:
B
Step-by-step explanation:
Which scenario could be represented by this graph?
Answers
Answer:
its is (b) turns the oven on
Answer:
D
Step-by-step explanation:
I did the test
a company makes a cone-shaped container with a height of 15 in. The area of its base is about 78.8 in.2 Approximately what is the volume if the container?
Answers
Answer:
Approximately the volume of cone-shaped container is 393 in³.
Step-by-step explanation:
Estimate 5,860÷2.1≈
i really need help on it.
Answers
Answer: it 2790
Step-by-step explanation:
The value of 5,860÷2.1 is 2790.
What is division?
In easy phrases, the division may be described because of the splitting of a massive institution into smaller companies such that every institution may have the same number of items. it's far an operation used for identical grouping and the same sharing in math.
What are the terminologies used in the division?dividend, divisor, quotient remainder.Learn more about division here: https://brainly.com/question/25289437
#SPJ2
what is the slope of the 2 points (10,15) (6,23)
Answers
Answer:
The slope is -2.
Step-by-step explanation:
m=y2-y1/x2-x1 (also, y1-y2/x1-x2 is also true.)
=23-15/6-10 m=15-23/10-6
= 8/-4 =-8/4
=4/-2 =-4/2
= 2/-1 =-2/1
m=-2 m=-2
Parallel lines r and s are cut by two transversals, parallel lines t and u.
How many angles are alternate interior angles with angle 9?
Answers
Check the picture below for more information. Hope it helps !
Answer:
2
Step-by-step explanation:
In an experiment, the variable that is manipulated is called the?
Measurement variable
Explanatory variable
Response variable
Confounding variable
Answers
Answer:
Explanatory Variable is the right answer it is the variaable being manipulated and observed.
Step-by-step explanation:
how are ASA and AAS used to show that triangles are congruent?
Answers
Answer:
If two pairs of corresponding angles and the side between them are known to be congruent, the triangles are congruent. This shortcut is known as angle-side-angle (ASA). Another shortcut is angle-angle-side (AAS), where two pairs of angles and the non-included side are known to be congruent.
In ASA, two angles and one common side is equal and in AAS one not common side and two angles are equal.
What is triangle?Simple polygons with three sides and three internal angles make up triangles. One of the fundamental geometric shapes is represented by the symbol and consists of three connected vertices.
The ASA congruence means, there will be two corresponding angles and one side between them will be equal, then the triangles are congruent.
The AAS congruence means, there will be two corresponding angles and one side excluded from them will be equal, then the triangles are congruent.
To know more about Triangles:
https://brainly.com/question/16886469
#SPJ2
50 POINTS An airplane is traveling at a speed of 240 miles/hour with a bearing of 110°. The wind velocity is 56 miles/hour at a bearing of 325°. What are the plane's actual speed and direction angle? (hint: the direction angle is measured from the positive x-axis in a counter-clockwise direction)
A.
The speed is 179.82 miles/hour, and the direction angle is 100.60°.
B.
The speed is 179.82 miles/hour, and the direction angle is 349.40°.
C.
The speed is 196.77 miles/hour, and the direction angle is 115.60°.
D.
The speed is 196.77 miles/hour, and the direction angle is 349.40°.
Answers
Answer:
the speed is 179.82 miles/hour .and the direction angle is 100.60
a scientist is running a simulation of a hypothetical city since she wants to explore its environmental impact over time the city's population is increasing 15 percent every year and there are currently 57,000 people what will the population be in 12 years?
Answers
Answer:
203,549 !!!
Step-by-step explanation:
If f(x) = 3x + 2, what is f(5)?
Answers
Answer:
f(5)=3(5)+2 = 17
Step-by-step explanation: