Answer:
12 R11 or 12 11/12
Step-by-step explanation:
Lizzy has 6.5 hours to tutor 4 students and spend 1.5 hours in a lab. She plans to tutor each student the same amount of time. The inequality 6.5 - 4t (greater than or equal to)5 can be used to find t, the amount of time in hours Lizzy could spend with each student. Solve the inequality. Can Lizzy tutor each student for 1.5 hours? Explain.
Lizzy can tutor each student for at least 1.25 hours, so she cannot tutor them for 1.5 hours as it exceeds the maximum time available per student according to the inequality 6.5 - 4t \<= 1.5.
Lizzy has a total of 6.5 hours to distribute between four students and her 1.5 hours in a lab. To figure out the maximum time she can spend tutoring each student (t), we use the inequality 6.5 - 4t \<= 1.5. Solving this inequality:
First, add 4t to both sides: 6.5 \<= 1.5 + 4t.Then, subtract 1.5 from both sides: 6.5 - 1.5 \<= 4t, or 5 \<= 4t.Finally, divide both sides by 4: 5/4 \<= t, which simplifies to 1.25 \<= t.This means that Lizzy can spend at least 1.25 hours with each student. Therefore, she cannot tutor each student for 1.5 hours because 1.5 is greater than 1.25. The critical point to note here is that the inequality dictates the maximum amount of time Lizzy has per student, not the minimum.
what two different multiplication problems have a product of 2.352
Two multiplication problems that have product of 2.352 are -
1.47 x 1.6 = 2.3520.147 x 16 = 2.352What is Equation Modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
Given is 147 x 16 as 2352.
In order to obtain the product of 2.352, we can write -
1.47 x 1.6 = 2.352
0.147 x 16 = 2.352
Therefore, two multiplication problems that have product of 2.352 are -
1.47 x 1.6 = 2.3520.147 x 16 = 2.352To solve more questions on Equation Modelling, visit the link below -
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Solve system of equations using substitution x=7y and 3x+2y=23
Shya works part-time at a gift-wrapping. The store sells wrapping paper rolls and package of wrapping rolls. There are a total of 125 rolls and package. Each roll costs $3.50 and each package costs $2.25. The total of all of the rolls and package is $347.50 . How many rolls of wrapping paper are there?
There are 53 rolls of wrapping paper.
To solve for the number of rolls of wrapping paper that Shya has, we can set up a system of linear equations based on the information provided:
Let R be the number of rolls of wrapping paper.
Let P be the number of packages.
From the question, we have two equations:
R + P = 125 (the total number of rolls and packages)
3.50R + 2.25P = 347.50 (the total cost of rolls and packages)
To find the value of R, we will solve this system using the substitution or elimination method.
First, let's use the substitution method by expressing P in terms of R from the first equation:
P = 125 - R
Now substituting this expression into the second equation gives us:
3.50R + 2.25(125 - R) = 347.50
3.50R + 281.25 - 2.25R = 347.50
1.25R = 347.50 - 281.25
1.25R = 66.25
R = 66.25 / 1.25
R = 53
Therefore, there are 53 rolls of wrapping paper.
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in what year was the total number of states in the United States 3/5 the number it was in 1960
Write a word problem that could be represented and solved by the equation 72 divided by 12
A container of oregano is 17 pounds heavier than a container of peppercorns their total weight is 253 pounds the peppercorns will be sold in a one ounce bags how many bags of peppercorns can be made
What is the number of possible outcomes if three quarters are tossed and the total numbers of heads and tails are counted?
Answer:
there is 4 possible outcomes
Step-by-step explanation:
TTT three tails/no heads
TTH two tails/one head
THT
HTT
HHT two heads/one tail
HTH
THH
HHH three heads/no tails
i get why you would think its 8 because it goes 8 times but that is not an outcome. hope this helped :)
Your new cell phone plan charges $50 per month for 400 minutes of talk time. The plan charges $0.10 for each additional minute you talk. You use 50 additional minutes this month. What is your bill for the month?
A.5
B.55
C.95
D.450
Answer:
Option (b) is correct.
The monthly bill if we uses 50 additional minutes this month is $ 55
Step-by-step explanation:
Given: Your new cell phone plan charges $50 per month for 400 minutes of talk time. The plan charges $0.10 for each additional minute you talk.
We have to find the monthly bill if we uses 50 additional minutes this month.
Consider the given plan.
cell phone plan charges $50 per month for 400 minutes of talk time. The plan charges $0.10 for each additional minute you talk.
Let the monthly charge be y and x be the number of additional minutes.
So, the equation becomes,
y = 50 + 0.10(x)
For, The given month the additional minutes are 50.
so, y = 50 + 0.10(50) = 55
Therefore, The monthly bill if we uses 50 additional minutes this month is $ 55
chad has two pieces of wood.one piece is7\12 foot long the second piece is 5\12 foot longer then the first piece. how long is the second one
How do you solve for s? s + 1/4= 12 1/2
The value of the expression s is 12 1/4
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the given expression be s + 1/4 = 12 1/2
On Simplifying the equation , we get
s + 1/4 = 12 1/2
Now ,
1/4 = 0.25
1/2 = 0.5
So , Subtracting 1/4 on both sides , we get
s = 12 1/2 - 1/4
s = 12.5 - 0.25
s = 12.25
And ,
Substituting the value of 1/4 from the expression , we get
s = 12 1/4
Hence , the value of the expression s is 12 1/4
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What is the last step when solving the equation below for x?
A Subtract 8x from each side of the equation.
B Subtract 3 from each side of the equation.
C Divide each side of the equation by 8.
D Add 8 to each side of the equation.
A computer moniter is solid by the diagonal length of the screen a computer monitor has a 15 inch screen the screen has a width of 13 inches what is the height of the screen round your answer to the nearest tenth
Final answer:
The height of the computer monitor with a 15-inch diagonal and 13-inch width, using the Pythagorean theorem, is approximately 7.5 inches.
Explanation:
To find the height of the computer monitor when given the diagonal length and the width, we can use the Pythagorean theorem.
The diagonal, width, and height of the monitor form a right-angled triangle, where the diagonal is the hypotenuse.
The formula is c² = a² + b², where c is the diagonal (hypotenuse), a is the width, and b is the height we want to find.
Let's plug in the values we have: 15² = 13² + b².
Simplifying, we get 225 = 169 + b². Subtract 169 from both sides to get b² = 56. Take the square root of both sides to find the height, which gives us b ≈ 7.5 inches.
Hence, the height of the screen would be approximately 7.5 inches when rounded to the nearest tenth.
Mr.Ragg has 3 gallons of orange juice.How many pints of carrot juice does he have?
140 miles on 6 gallons to unit rate
the coordinates of d.e.f are d (4,3),e (7,3)and f (6,8). if you translate d.e.f 4 unite left and 3 unite up what are the coordinates of f?
To find the new coordinates of point F after translating it 4 units left and 3 units up, we adjust its x-coordinate by subtracting 4 and its y-coordinate by adding 3, resulting in the new coordinates (2, 11).
Explanation:The student is asking about a translation of a geometric figure in the coordinate plane. The coordinates of point F are initially (6,8). A translation of 4 units left and 3 units up would change these coordinates. To translate 4 units left, we subtract 4 from the x-coordinate, and to translate 3 units up, we add 3 to the y-coordinate.
Therefore, the new coordinates of point F after the translation would be:
F' = (6 - 4, 8 + 3) = (2, 11).
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Lindsay and menonhave 1,240 stickers.menon has 4 times as many stickers as Lindsay.menon decides to have 6 stickers on each page of an album.a.how many stickers does menon have?b.after menon fills some pages in album,how many stickers are left over?c.How many stickers does he need to complete one more page?
Answer:
a. 992 stickers
b. 2 stickers
c. 4 stickers
Step-by-step explanation:
Let Lindsay has x stickers,
∵ Menon has 4 times as many stickers as Lindsay,
So, the number of stickers Menon has = 4x,
Thus, the total stickers = x + 4x = 5x
According to the question,
5x = 1240
⇒ x = 248,
a. Thus, the number of stickers Menon has = 4x = 4(248) = 992,
b. If Menon fills some pages in album such that each page contains 6 stickers,
Then the number of such pages = [tex]\frac{\text{stickers contained by Menon}}{6}[/tex]
[tex]=\frac{992}{6}[/tex]
= 165 pages and 2 stickers,
Thus, 2 stickers are left over.
c. ∵ Every page contains 6 stickers,
I.e. he needs 4 more stickers for one more page.
George bought 30 packs of football cards.there were 14 cards in each pack. How many cards did George buy?
The cost of peanuts varies directly with the number of pounds. if 3 pounds of peanuts cost $6.30, what is the cost of 4.5 pounds
The cost of 4.5 pounds of peanut is $9.45.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Cost of 3 pounds peanuts = $6.30
So, Cost of 1 pounds = 6.30/ 3
= $2.10
Then, Cost of 4.5 pounds
= 4.5 x 2.10
= $9.45
Hence, cost of 4.5 pounds of peanut is $9.45.
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All of the following are representation of the rational number 7 except : A 14/2, B 7.0000, C 49/7 ,D .7
What are the partial products for 145 divided by 5??
Substitution method for y = - x + 1 and 2x - y = 5
Sam needs 5/6 cup mashed bananas and 3/4 Cup mashed strawberries for a recipe. He wants to find whether he needs more bananas or more strawberries . How can he write 5/6 and 3/4 as a pair of fractions with a common denominator
cooper is measuring ingredients for his special dessert. He needs a total of 70.4 mL of milk and melted butter. The recipe calls for 30.6 mL of butter. How much milk, m, does cooper need for his recipe?
Cooper needs a total of 70.4 mL of milk and butter for his recipe.
The recipe calls for 30.6 mL of butter.
So the rest of it should be milk.
How much? Total - Butter = Milk
Hence we have,
[tex]70.4-30.6=39.8[/tex]
So, Cooper needs [tex]m=39.8[/tex] mL of milk.
ANSWER: m = 39.8 mL (milk)
Out Of 30 Questions,Ahmad answered 12 of them incorrectly.What percent of the questions did he answer correctly?
What is the value of (1.7)2 ?
What is 9 5/9-6 6 5/6
Simon bought a $48 table on sale at 30% off. Select from the drop-down menu to correctly complete the sentence. An estimate for the discount is
a 0.03(50)
b 0.3(50)
c 3(50)
d 30(50)
Simon bought a $48 table on sale. The price of the table can be estumated by $50.
The sale propose 30% off, then an estimate for the discount can be calculated using proportion:
$50 -- 100%,
$x -- 30%
that is mathematically
[tex]\dfrac{\$50}{\$x}=\dfrac{100\%}{30\%}.[/tex]
Find x:
[tex]\$x=\dfrac{\$50\cdot 30\%}{100\%}=0.3\cdot \$50.[/tex]
Answer: correct choice is B
Answer:
b. [tex]0.3\cdot(50)[/tex]
Step-by-step explanation:
We have been given that Simon bought a $48 table on sale at 30% off. We are asked to choose the correct option that gives an estimate for the discount .
Since 48 is very closer to 50, so to find an estimated amount of discount we need to find 30% of 50.
[tex]\text{Estimated amount of discount}=30\%\text{ of }50[/tex]
[tex]\text{Estimated amount of discount}=\frac{30}{100}\cdot(50)[/tex]
[tex]\text{Estimated amount of discount}=0.3\cdot(50)[/tex]
Therefore, an estimate for the discount is [tex]0.3\cdot(50)[/tex] and option 'b' is the correct choice.
Plz help me with the once that are circle