Using proportions, it is found that the expression that represents the number of reams of paper the company produced during the second year is:
⇒ 4.704 x 10¹⁰
What is Proportional?Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.
Given that;
During the first year of operation, a company produced 8.4 x 10⁹ reams of paper.
And, During the second year, the company produced 5.6 times the number of reams of paper that it produced during the first year.
Hence, , In the first year, the company produced reams, and in the second year, 5.6 times that, that is, we multiply the amount by 5.6, hence:
⇒ 8.4 x 10⁹ x 5.6
⇒ 4.704 x 10¹⁰
Thus, Using proportions, it is found that the expression that represents the number of reams of paper the company produced during the second year is:
⇒ 4.704 x 10¹⁰
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Ms. Hernandez is taking her children and their friends to the movies. She will pay $10 for her adult ticket and $7 for each child ticket. Ms. Hernandez does not want to spend more than $40. Which inequality can be used to find c, the number of child tickets Ms. Hernandez can purchase?
Answer:
The inequality can be used to find c, the number of child tickets Ms. Hernandez can purchase is option (D) 10 + 7x ≤ 40.
Step-by-step explanation:
Step 1: Let x be the number of child tickets that Ms. Hernandez can purchase.
Step 2: The cost of the adult ticket is $10, and the cost of each child ticket is $7. Therefore, the total cost T of the tickets can be expressed as:
T = 10 + 7x
Step 3: Ms. Hernandez does not want to spend more than $40. So, we can write an inequality to express this:
T ≤ 40
Substituting the expression for T, we get:
10 + 7x ≤ 40
Simplifying the inequality:
7x ≤ 30
Step 4: Dividing both sides by 7:
x ≤ 4.2857
Since we cannot purchase a fraction of a ticket, Ms. Hernandez can purchase at most 4 child tickets.
Therefore, the inequality that can be used to find c is:
7x + 10 ≤ 40 or 10 + 7x ≤ 40.
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hopefully the last question!!
Answer:
the answer is 16.23
each shelf on Sandra's bookcase is 42 1/2 inches long each book she wil place on a shelf is 3/4 inches wide what is the greatest number of books of this size can she fit on one shelf?
(the answer is 56 but I need to have the work)
Answer: yeah 56
Step-by-step explanation:
42.5 divided by .75 is 56.666666666666666666666666666667
And with this type of question, you have to round down to a whole number so, 56
Hope this helps :)
Please! I have class again tomorrow and homework is due! Urgent!
Find the area of the composite figure.
A) 38 square units
B) 49 square units
C) 41.7 square units
D) 34.8 square units
Answer:
The answer is C (41.7)
Step-by-step explanation:
If you have any questions please ask me! :)
Triangle ABC ~ triangle DEF. Use the image to answer the question.
a triangle ABC with side AC labeled 7.32 and a second triangle DEF with side DE labeled 8.8, side FD labeled 6.1 and side EF labeled 6.4
Determine the length of side AB and BC in triangle ABC.
AB = 10.065, BC = 8.388
AB = 8.8, BC = 6.4
AB = 10.56, BC = 7.68
AB = 7.425, BC = 5.954
Answer:
AB = 10.56 BC = 7.68
Step-by-step explanation:
With AC provided, we first have to find the quotient of AC and DF.
AC = 7.32
DF = 6.1
7.32 ÷ 6.1 = 1.2
So AC's dimensions are 1.2 times larger. So we use 1.2 to find AB and BC.
The similar sideline of AB is DE, and DE = 8.8
So we multiply 8.8 by 1.2
8.8 x 1.2 = 10.56
AB = 10.56
We do the same for BC. BC's similar sideline is EF, and EF = 6.4
6.4 x 1.2 = 7.68
BC = 7.68
Therefore AB = 10.56 and BC = 7.68
i need help.............................................
Answer: 9 yd^2
Step-by-step explanation: 4.5 x 2 = 9
Answer:
31.5 (31 1/2)
Step-by-step explanation:
A=l x w x h
3 1/2 x 4 1/2 x 2= 31 1/2/31.5
pls help me 1st awner gets brainlyest
if I understood the problem correctly I think a is 35, and b is 25
can u help me pls ik u lookin so pls help me
Answer:
1240.4 mm²
Hope this helps!
Step-by-step explanation:
The surface area of the regular pyramid is the area of the base plus the area of the 5 triangles.
One triangle has the formula of [tex]\frac{1}{2}[/tex] × Base × ( Slant ) Height.
One triangle has the area of [tex]\frac{1}{2}[/tex] × 16 × 20 = 8 × 20 = 160 mm²
160 mm² × 5 ( cause there are 5 triangles ) = 800 mm²
800 mm² + 440.4 mm² = 1240.4 mm²
Answer:
1240.4 mm²
Step-by-step explanation:
Surface area: add all of the sides' areas
Area of a triangle is 1/2 bh
1/2 (16)(20)=160(one side)
Since there are 5 sides we would do 160x5=800
Then adding the 2 areas together
440.4+800=1240.4
What is area of the composite shape? ___ sq. ft
Use 3.14 for "pi" and round to the nearest hundredths place.
Answer:
236.63
Step-by-step explanation:
Find the approximate radius of a circle with a circumference of 51.81 millimeters. Use 3.14 for π. Round to the nearest hundredth if necessary.
Answer: 16.5
Step-by-step explanation:
51.81/3.14=16.5
Simple :)
Hope it helps!
The model represents an equation
What is the solution for the equation
Please help will give brainlest
Answer:
G. x = 6/5
Step-by-step explanation:
There are 5x's and 4 ones on the left side ==> 5x + 4
There are 10 ones on the right side ==> 10
Equation left and right side expressions gives the equation:
5x + 4 = 10
Subtract 4 on both sides:
5x + 4 - 4 = 10 -4
5x = 6
Divide by 5 both sides
5x/5 = 6/5
x = 6/5
I cant figure it out I have only one more chance too
Answer: I believe it's 57
Step-by-step explanation:
Find the value of x in the figure.
A) 130
B) 34
C) 19
D) 100
Answer:
The answer is D (100)
Step-by-step explanation:
If you have any questions please ask me!
Choose an expression that is equivalent to the following.
6n + 2(3 - 5n)
A. n+6
B. 16n+6
C. 6-4n
D. 11n
Answer: C. 6-4n
Step-by-step explanation:
We will simplify the expression and see which one is equivalent.
Given:
6n + 2(3 - 5n)
Distribute:
6n + 6 - 10n
Subtract:
-4n + 6
This is the same as 6 - 4n, so our answer is C. 6-4n
Answer:
6-4n (C.)
Step-by-step explanation:
First you would do 2x3=6
2x-5n=-10n
6n+ -10n= -4n
6-4n
tryingtogetverified u have helped me sm thank u btw.
Answer:5sweaters
Step-by-step explanation:
if u add 40 twice for each sheep wich there are five sheeps that makes 200 then take away 40 till u get zero and counts how many 40s you took away
Please help will give brainlest
Answer:
C) 10 + 7x > 40
Step-by-step explanation:
we know that ms. Hernandez Already paid 10 for her ticket and we know how much money it would cost for each child, but we do not know how many kids there are, also we know that she ms. Hernandez doesn’t want to spend more than 40
Ms.Hernandez = 10
Children = 7x
A number > 40
10 + 7x > 40
Kevin goes to a restaurant that offers 4 appetizer choices, 4 different meats, 6 vegetables, 4 desserts, and 7 drinks. Assuming he gets one of each, how many different meals could he order? Responses A 184 B 25 C 2688 D 672 E 504
Which of the following is the solution set of x < 5?
A) x = {5, 4, 3, 2, 1, ... }
B) x = {5, 6, 7, 8, 9, ... }
C) x = {4, 3, 2, 1, ... }
D) x = {3, 4, 5, 6, 7, ... }
with solution pls, show the solution how did you get the answer
The best answer from the options provided is C, because "x<5" means all the numbers less than 5 and answer C only has integers that are less than 5.
Now C isn't a perfect answer, because C leaves out all the other fractions and decimals like 4.3 and 3/4 that are also less than 5, but aren't in answer C.
But given your choices, A, B, and D are not the answer, since they all have a number included that's greater than OR equal to 5.
What is area of the composite shape? ___ sq. in.
Use 3.14 for "pi" and round to the nearest hundredths place.
Answer:
7.14
Step-by-step explanation:
each semicircle is (1/2)(pi)(r^2)
together they are just pi(r^2)
this is pi(1^2)
or just pi
the square is 2x2
this is 4
so its 4+pi
7.14
Answer:
7.14 in^2
Step-by-step explanation:
3.14 x 1 ^2= 3.14
2 x 2 = 4
3.14+4= 7.14
please help......................
Answer: 6.6 in^2
Step-by-step explanation:
2.2 x 3 = 6.6
Greg has 4 shirts: a white one, a black one, a red one, and a blue one. He also has two pairs of pants, one blue and one tan. What is the probability, if Greg gets dressed in the dark, that he winds up wearing the white shirt and tan pants? Show your work.
Answer:
1/8 probability or a 12.5% chance
Step-by-step explanation:
Greg has 4 choices for his shirt and 2 choices for his pants. The total number of possible outfits is then 4*2 = 8. Since Greg is equally likely to choose any one of these outfits, the probability that he chooses the white shirt and tan pants is 1/8.
Simplify the expression.
9(-1/3m + 4) - 6m
A. -3m + 36
B. 3m + 36
C. -9m + 36
D. 9m + 36
Answer:
9(-1/3m + 4) - 6m can be simplified as follows:
- Distribute the 9: 9(-1/3m) + 9(4) - 6m
- Simplify: -3m + 36 - 6m
- Combine like terms: -9m + 36
Therefore, the simplified expression is -9m + 36.
So, the answer is C.
Step-by-step explanation:
pls help mee/////////
Answer:c
Step-by-step explanation:im smart
i hate geometry....so very much
Answer: 128 cm
Step-by-step explanation: 96+24+8=128cm
What is the solution set for the inequality 5 - 4m > 25
The solution set for the inequality 5 - 4m > 25 is m < -5.
Simplifying the solution;
- 4m + 5 > 25
Adding -5 on both Sides,
(-4m + 5) + (-5) > 25 + (-5)
-4m + 5 - 5 > 25 - 5
-4m > 20
Now, Dividing both sides by 4;
4m/4 < -20/4
m < -5
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what is -3 1/3 -2?
its for an i-ready assignment
Answer:
The answer is -5.333
fraction answer: -5 333/1000
Step-by-step explanation:
If you have any questions ask me please! :)
Answer:
-5.33333333333
I am so sorry but please help and if its not too much please explain how you did it too!♡ TY!<3
Answe 56
Step-by-step explanation:
hoped that helped
Which of the following combinations of side lengths will form a triangle with vertices X, Y, and Z? (will give brainliest)
(A.) XY = 18 mm , YZ = 20 mm , XZ = 39 mm
(B. ) XY = 17 mm , YZ = 20 mm , XZ = 36 mm
(C.) XY = 16 mm , YZ = 20 mm , XZ = 37 mm
(D.) XY = 17 mm , YZ = 19 mm , XZ = 37 mm
Answer:
The answer is B and D
Step-by-step explanation:
Why did you post the same question twice?
If you have any questions ask me please! :)
Answer:
B
Step-by-step explanation:
hope this helps
The scale on a map reads 4 cm = 1.6 m. The relationship on the map is graphed on a coordinate grid, with centimeters on the y -axis and meters on the x -axis. The rate of change is: blank blank per blank
a. 0.4
b. 2.5
c. centimeters
d. meters
Answer:
To find the rate of change, we need to determine how much the value on the y-axis changes for every unit change on the x-axis.
The scale on the map reads 4 cm = 1.6 m, which means that for every 1 meter on the x-axis, there are 2.5 centimeters on the y-axis (since 4 cm is equivalent to 1.6 m, we can divide both sides by 1.6 to get 1 cm is equivalent to 0.4 m, or 2.5 cm is equivalent to 1 m).
Therefore, the rate of change on this graph is:
2.5 centimeters per meter
Or, we can express this as:
2.5 cm/m
Step-by-step explanation: