Yolanda and her 3 brothers shared a box of 156 toy dinosaurs. About how many Dino's did each child get?
Yolanda and her 3 brothers are sharing 156 toy dinosaurs. By dividing 156 by the total number of children, which is 4, we find that each child gets 39 toy dinosaurs.
Explanation:The question requires us to divide a certain number of items, specifically toy dinosaurs, equally among a group of children. Yolanda and her 3 brothers share a total of 156 toy dinosaurs. To find out how many dinosaurs each child gets, we need to perform a simple division operation.
Since there are 4 children in total (Yolanda plus her 3 brothers), we divide the total number of toy dinosaurs by 4:
156 toy dinosaurs ÷ 4 children = 39 toy dinosaurs per childTherefore, each child would receive approximately 39 toy dinosaurs.
Final answer:
To determine how many toy dinosaurs each child receives, divide 156 (the total number of dinosaurs) by 4 (the number of children), resulting in 39 dinosaurs per child.
Explanation:
The subject of this question is Mathematics, and it belongs to the Middle School grade level. The question involves dividing a set of items equally among a group of children, which is a basic arithmetic problem.
Yolanda and her 3 brothers together make a group of 4 children. To find out how many toy dinosaurs each child gets, we divide the total number of toy dinosaurs by the number of children:
Total number of toy dinosaurs: 156
Number of children: 4
Number of dinosaurs per child = 156 ÷ 4
= 39
So, each child would receive approximately 39 toy dinosaurs.
f(x)=x^2-x-1 , average rate of change of f over interval -1 greater than or equal to x less than or equal to 1
The average rate of change of the function f(x)=x^2-x-1 over the interval from -1 to 1 is calculated as the change in the function's values over the change in x, which results in -1.
Explanation:The average rate of change of a function f(x) over a given interval [a, b] is defined as the change in f(x) divided by the change in x. It is equal to the value of the function at point b minus the value of the function at point a, divided by (b-a).
For the function f(x)=x^2-x-1, we are given the interval from -1 to 1. In this case, a=-1 and b=1.
So first calculate f(a) and f(b), i.e., f(-1) = (-1)^2 -(-1)-1 = 1, and f(1) = (1)^2 -(1)-1 = -1.
Then, plug these values into the average rate of change formula, which gives us (-1-1) / (1 - (-1)) = -2 / 2 = -1. So the average rate of change of the function f over the interval from -1 to 1 is -1.
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A certain TV can be purchased from the manufacturer for $160. A certain online retailer has a standard markup of 30%, and a certain superstore has a standard markup of 40%.
(a) What is the price of the TV when purchased online? What is the price of the TV when purchased at the superstore?
(b) What is the difference between the prices in Part (a)? How does this relate to the difference in the markup?
Answer:
The price of the TV purchased online is $208
The price of the TV purchased at the superstore is $224
Explanation
To solve this, we are going to use the markup formula solved for price:
[tex]Price=markup*cost+cost[/tex]
where
[tex]markup[/tex] is expressed in decimal form
- For the online retailer:
We know that the the TV can be purchased from the manufacturer for $160, so [tex]cost=160[/tex]. We also know that its markup is 30%; to express the markup as a decimal, we just need to divide it by 100%, so [tex]markup=\frac{30}{100} =0.3[/tex]. Now we can replace the values in our formula to find the price of the TV at the online retailer:
[tex]Price=markup*cost+cost[/tex]
[tex]Price=0.3*160+160[/tex]
[tex]Price=48+160[/tex]
[tex]Price=208[/tex]
The price of the TV purchased online is $208
- For the superstore:
The cost is the same, so [tex]cost=160[/tex]. The markup this time is 40%, so [tex]markup=\frac{40}{100}=0.4[/tex]. Let's replace the values to find the price:
[tex]Price=0.4*160+160[/tex]
[tex]Price=64+160[/tex]
[tex]Price=224[/tex]
The price of the TV purchased at the superstore is $224
(b)Answer
The difference between the prices is $16
The difference relates to the markup in two ways:
- When the markup increases 10% (from 30% to 40%), the price of the TV increases by $16.
- When the markup increases 10% (from 30% to 40%), the price of the TV increases 7.7%.
Explanation
To find the difference of our prices, we just need to subtract the price of the TV purchased at the superstore from the price of the TV purchased online:
$224 - $208 = $16
Now, to find how much the cost increased when the markup increases from 30% to 40%, we are going to divide the result of the difference of the two prices by the price of the TV at the online retailer, and then multiply by 100%:
[tex]\frac{16}{208} *100=7.69[/tex]
Which rounds to 7.7%
We can conclude that when the markup increases 10% (from 30% to 40%), the price of the TV increases 7.7%.
We can also conclude that when the markup increases 10% (from 30% to 40%), the price of the TV increases by $16.
Answer:
a) The price online of the TV is 208$
And in the superstore, it is 224$
b) The difference between the prices is $16.
208 - 224 = 16
The market difference is related as follows:
When the markup increases by 10% (from 30% to 40%), the price of the TV increases by $16.
350 yards to 420 yards
The range from 350 yards to 420 yards is of 70 yards.
To understand the range from 350 yards to 420 yards, it is important to recognize that this involves simple subtraction and addition within a specific interval. The interval is calculated as follows:
The lower limit: 350 yardsThe upper limit: 420 yardsThe range between these two distances is:
Lower Limit: 350 yardsUpper Limit: 420 yardsTo find the difference, which represents the span or range between these two points, simply subtract the smaller number from the larger number:
420 yards - 350 yards = 70 yards
Thus, the range between 350 yards and 420 yards is a total of 70 yards.
What is 5.62 in expanded form
Answer:
5.62 = (5 x 1) + (6/10) + (2/100)
Step-by-step explanation:
5.62 = (5 x 1) + (6/10) + (2/100)
What is the equation in point-slope form of a line that passes through the points (3, −5) and (−8, 4)?
A. y−4=−1/5(x+8)
B. y+4=−9/11(x−8)
C. y−4=−9/11(x+8)
D. y+4=−1/5(x−8)
Answer:
C. [tex]y-4=-\frac{9}{11}(x+8)[/tex]
Step-by-step explanation:
The point slope form is [tex]y-y_1=m(x-x_1)[/tex] where m is the slope,
First we are going to calculate [tex]m[/tex]:
If you have two points:
[tex]A=(x_1,y_1)\\B=(x_2,y_2)[/tex]
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
In this case: A=(-8,4) and B=(3,-5)
[tex]x_1=-8, y_1=4\\x_2=3, y_2=-5[/tex]
Replacing in the formula:
[tex]m=\frac{-5-4}{3-(-8)}=-\frac{9}{11}[/tex]
Then [tex]y-y_1=-\frac{9}{11}(x-x_1)[/tex],
Now we have to replace with: [tex]x_1=-8, y_1=4[/tex],
[tex]y-y_1=-\frac{9}{11}(x-x_1)\\\\y-4=-\frac{9}{11}(x-(-8))\\\\y-4=-\frac{9}{11}(x+8)[/tex]
Then the equation in point-slope form of a line that passes through the points (3, −5) and (−8, 4) is:
C. [tex]y-4=-\frac{9}{11}(x+8)[/tex]
Regina purchased 1.75 pounds of turkey breast from her local deli for $5.99 per pound. To the nearest cent, how much did she spend at all?
What algebraic expression is 6 more than number c
The algebraic expression for ''6 more than number c'' is written as;
⇒ c + 6
What is an expression?
Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The expression is,
''6 more than number c''
Now,
The term ''6 more'' means to ''increase 6'' or to ''add 6''.
Thus, The expression ''6 more than number c'' is written as;
⇒ c + 6
Therefore, The algebraic expression for ''6 more than number c'' is written as;
⇒ c + 6
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$4.30 markup, 40% discount, 6% tax
find the sum of 28 and 59 show your work
Graph the equation 18x + 15y = 90 in y=mx+b Please just explain the equation to me you don't have to graph it. It's y=18x+6 right?
Carl wants to fill up his fish tank with water. To determine the amount of water that it will take to fill the tank, Carl needs to calculate the ____________ of the tank. A) area B) volume C) perimeter D) lateral area
Answer:
The answer is B. Volume
Step-by-step explanation:
Finding the area of the tank would only show the size of one of the panals. The perimater is the length around one of the side panels of the tank. Lateral area is simmiler to the surface area, howerver it excludes the base and top. Volume is the only answer choice that calculates how much water will fill the tank. Volume can be found by multiplying the base multiplyed my the length multiplyed by the hight.
Answer:
b volume
Step-by-step explanation:
Chris wants to leave a 15% tip on the price of the food, calculated before sales tax. What is the maximum cost of food the group can order and not go over $63? Help Please
Coach brown bought 6 basketballs for $16 each and 6 footballs for $24 each. The expression 6× 16+6×24 gives the total cost in dollars of the basketballs and footballs. Use the distributive property to write the expression another way. Then evaluate.
Tom practiced piano 1 1/3 hours on Monday and 5/6 hours on Tuesday. how much did he practice in all those two days
jayson is installing nee flooring in his home if the lenght of the room is 26 feet and the width is 6 feet how many sq feet of flooring does Jayson need
-5 1/3 divided by 2 3/4 in fraction form
19.25 X 0.12=
please show work
A family is tracking its spending habits. Over the past year, the grocery bill has ranged from $110 to $170.
Suppose you were going to plot these points on a coordinate grid.
(a) What is a good scale to use for the y-axis? Explain your reasoning.
(b) What is a good interval to use for the y-axis? Explain your reasoning.
Answer:
A. $10
B. 12 points
Step-by-step explanation:
Let, the x-axis represents the number of months and y-axis represents the money for the grocery.
Now, as we have the range of the grocery bills from $110 to $170.
Thus, taking the scale of $10 on y-axis will give us 7 intervals in which the changes in the grocery bills can be viewed.
Hence, a scale of $10 is a good scale.
Further, as y-axis represents the number of months. Thus, taking 12 months will be sufficient to plot the graph and show the changes in the grocery bills.
Hence, 12 points representing months are sufficient.
24 boxes of crayons wigh 235.2 oz. how many oz is each box of crayons?
3p-4=8and 2p=4 is it equivalent
Can someone help me out here . Thanks!
1. Explain how you would model 5 x 2/3
2. When you multiply 2/3 by a fraction less than one, how does the product compare to the factors? Explain.
3. There is 5/6 of an apple pie left from dinner. Tomorrow, Victor plans to eat 1/6 of the pie that was left. How much of the whole pie will he eat tomorrow?
A. 1/36
B. 5/36
C. 1/3
D. 2/3
4. Matt made the model below to help him solve his math problem. Which of the expressions could he have been working out? (Yes, I made the model which emojis.)
Blue Heart: Green Square
Yellow Heart: Yellow Square
Broken Heart: Blank Square
A. 3/12 x 3/4
B. 3/4 x 3
C. 3/12 x 3/12
D. 1/3 x 3/4
5. If an angle measures 100 degrees, through what fraction of a circle does the angle turn?
A. 1/100
B. 1/4
C. 100/360
D. 1/2
Final answer:
To model 5 x 2/3, think of having 5 groups of 2/3 each. Multiplying 2/3 by a fraction less than one yields a smaller product. Victor will eat 5/36 of the whole apple pie, and an angle of 100 degrees represents 100/360 of a full circle.
Explanation:
To model 5 x 2/3, you can visualize having 5 groups of something, with each group containing 2/3 of that item. For example, if you have 5 pies, and you take 2/3 out of each pie, you would have a total of (5 x 2/3 = 10/3) pies.
When you multiply 2/3 by a fraction less than one, the product is smaller than the original fraction of 2/3 because you're effectively taking a portion of a portion, which reduces the overall size.
For the apple pie scenario, Victor plans to eat 1/6 of the 5/6 of a pie that is left, so the amount he will eat is (5/6 x 1/6 = 5/36) of the whole pie, which means the correct answer is Option B, 5/36.
Without the visual model provided, it is challenging to determine exactly which expressions Matt could have been working out. However, if you can provide the model, the answer would depend on the relationship between the hearts, squares, and the blank squares in Matt's model.
An angle of 100 degrees represents 100/360 or roughly 5/18 of a full circle since a full circle has 360 degrees. Therefore, the answer is Option C, 100/360.
broccoli cost 1.50 per pound at a grocery store. how much does 64 ounces of broccoli cost, before tax
what is 34 divided by 594 LONG DIVISION
Answer:
thanks
Step-by-step explanation:
8465+485744-37493
Kathleen studied 2/3 of the night's in the month. If the month has 30 days, how many nights did she study?
The number of nights studies in a month is 20.
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.
Example: 1/2, 1/3 is a fraction.
We have,
Number of nights in a month = 30
The number of nights studied in a month.
= 2/3 x 20
= 2 x 10
= 20
Thus,
The number of nights is 20.
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Curtis school has 1,575 students. The students to teacher ratio is 15 to 1. How many teachers are at Curtis school.
Antonio gave 27 tomatoes to his neighbor and 15 to his brother.he had 72 tomatoes before giving some away.how many tomatoes does Antonio have lefted.
2000g 75.75kg 5050g 3kg order then from smallest to gretest
12% of 72 is what number?
Answer:
x = 8.64
Step-by-step explanation:
12% of 72 = (12/100) * 72/x
= 0.12 * 72
x = 8.64
8.64 is 12% of 72. Determining any kind of percentage will not be a challenge for anybody if the above procedure is followed step by step.
(I think you are in the same county like me. Is it Dadeschools in Miami. Oh and the the Chapter is Chapter 2 Lesson 3 "The Percent Proportion" right?....)
You must be a 12 Grader by now...