The ratio of 3 scoops of hot cocoa mix to 10 miniature marshmallows and 8 ounces of water. is 3:10
What is Ratio?
A ratio in mathematics demonstrates how many times one number is present in another. For instance, if a dish of fruit contains eight oranges and six lemons, the ratio of oranges to lemons is eight to six. Similarly, the ratio of oranges to the overall amount of fruit is 8:14, while the ratio of lemons to oranges is 6:8.
Given :-
amount of cocoa scoops = 3
amount of miniature marshmallows used = 10
We have to find out the Ratio of scoops of hot cocoa to miniature marshmallows:
First we will simplify the term if there is any
Scoops of hot cocoa / miniature marshmallows = 3/10
Since, the simplification is already been done
Thus, the ratio will be:
3 : 10
Hence, The ratio of scoops of hot cocoa to miniature marshmallows is 3:10
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determine whether the ordered pair (8,-5) is a solution to the equation 3x-2y=6
If a litre of water is provided for 20 people, how much for 50 people?
Using the distributive property, an expression equivalent to 48 + 30 is
By using a distributive property the expression 48 + 30 will be written as 6(8+5).
What is distributive property?The distributive property of binary operations in mathematics generalizes the distributive law, which states that in elementary algebra, equality is always true.
Given expression of addition is 48 + 30. The expression by using distributive property will be written as:-
E = 48 + 30
Take 6 commons from the above equation.
E = 48 + 30 = 6 ( 8 + 5 )
48 + 30 = 6( 8 + 5 ) ( Distributive property )
Therefore, by using a distributive property the expression 48 + 30 will be written as 6(8+5).
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The conservation club has 32 members. There are 18 girls in the club.
What is the ratio of girls to boys in simplest form?
716
916
97
79
Answer:
9:7
Step-by-step explanation:
i took the test
A bakery sells packages of 6 cupcakes for $10. If the bakery starts selling the cupcakes in packages of 12, how much would you expect a package of 12 to cost?
Explain your reasoning.
what is this answer because I don't know how to do it
Steve was offered $5,025 per year for a weekend lifeguard ing job at a local pool. he wants to know how much his monthly income will be at this salary level. what is his rate of pay in dollars per month ?
The rate of his salary per month is $418.75
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:
Steve was offered $5,025 per year
We know, 1 year= 12 month
So, Steve's Salary per month would be
= 5025/ 12
= $418.75
Hence, the rate of his salary per month is $418.75
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The height of a window is 0.6 feet less than 2.5 times its width. If the height of the window is 4.9 feet, which equation can be used to determine x, the width of the window?
Answer:
The CORRECT answer is 2.5x - 0.6 = 4.9
math help Brainliest will be given I solved RS wrong how do I do it I got 112
RS and RT are both segments on the same line. Therefore their equation can be added together and set equal to the equation that is given representing the entire length of segment ST.:
4x+10+ -2x+24=4x+12
Now that you have created one larger equation to solve for x you can now go ahead and combine like terms, (all the x's with the x's and the regular numbers with the regular numbers)
2x+34=4x+12
Now you must move the variables and constants to the opposite sides of the equation. This is called isolating the variable:
2x= 22
Now you can solve for x by dividing by 2 and your answer is x = 11
Now that you have solved for the value of x you can take that value and plug it into the equation that is given for the length of segment RS.
-2X+24 NOW BECOMESSS......
-2(11)+24= -22+24= 2
The length of segment RS is 2
The length of segment RT is 54Erica Sutherland earns a yearly salary go 45,650, how much would Erica earn in a monthly paycheck
divide the yearly pay by 12 ( 12 months in a year)
45650 / 12 = 3804.17 per month
NEED HELP ASAP THANKS
Evan is making a table that will be created in the shape of the figure below. The table top is a triangle attached to a rectangle. To purchase the right amount of paint, he needs to know the area of the table top. He can only spend $10 on paint, which is enough to cover 150 ft2 of surface area. What is the maximum length of the base of the rectangle he can build? An image of a compound shape made up of a rectangle and a triangle is shown. The length of the rectangle is labeled x and the width is labeled 6 feet. The base of the triangle is labeled 4 feet and the height is labeled 6 feet.
x = __________________ ft
Numerical Answers Expected! Answer for Blank 1:
Jill says that 6 is a common factor of 56 and 36 is she correct explain
Find 3 consecutive odd integers such that the sum of 7 times the smallest and twice the largest is -91?
Answer: -11, -9, -7
the smallest: 2x+1 = -11
Step-by-step explanation:
{z - some integer}
2z+1 - the smallest number
7(2z+1) - seven times the smallest number
2z+1+2=2z+3 - the middle number
2z+3+2 = 2z+5 - the largest number
2(2z+5) - twice the largest number
7(2z+1) + 2(2z+5) - the sum of 7 times the smallest and twice the largest
7(2z+1) + 2(2z+5) = -91
14z + 7 + 4z + 10 = -91
-17 -17
18z = -108
÷18 ÷18
z = -6
2z+1 = 2(-6)+1 = -12 + 1 = -11
2z+3 = 2(-6)+3 = -12 + 3 = -9
2z+5 = 2(-6)+5 = -12 + 5 = -7
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Write two expressions that represent 3/12
Gina works at a diner.She earns 6$ each hour plus tips.In one week,She worksed 37 hours a week and earned 434$ in tips.How much dud she nake altogether? Write an equation.Use a variable for the unknown.Solve
If answer is 86 please say true if not put answer thanks
this is just my sister's homework not mines I'm a sixth grader not a fourth grader.
.3.
ron wants to buy a videoo game with a selling price of $48 on sale for 50% off. the sales tax in his state is 4.5% A)how much will ron have to pay in all? B) if he has $25 can he afford to purchase the game?
how do you find the markuo and markup rate if the price is $49.95 and the cost is 26.97
I have little tolerance for risk, so I must be willing to accept lower returns on my investment
Please help me as soon as possible, I'll give brainliest to whoever got it done and right first. Here's the question:
Describe the graph of the function f(x) = x3 − 18x2 + 101x − 180. Include the y-intercept, x-intercepts, and the shape of the graph.
Rachel types 162 words in 3 minutes Rachel types at a constant rate how many words does Rachel type per minute
Answer:
54 words does Rachel type per minute
Step-by-step explanation:
Unit rate defined as the rates are expressed as a quantity as 1 such as 4 meter per seconds or 5 km per hour
As per the statement:
Rachel types 162 words in 3 minutes Rachel types at a constant rate.
We have to find how many words does Rachel type per minute.
By definition of unit rate:
[tex]\text{Unit rate per minute} = \frac{162}{3}[/tex]
Simplify:
[tex]\text{Unit rate per minute} =54[/tex] words
Therefore, 54 words does Rachel type per minute
The number of words typed by Rachael in one minute at a constant rate is 54 words
The parameters given :
Step-by-step explanation:
Number of words typed = 162 words Time taken = 3 minutesSince, the typing rate is constant ; the typing rate per minute can be calculated thus :
(Number of words typed ÷ number of minutes) (162 / 3) = 54 words per minute.Therefore, Rachael types at a constant rate of 54 words per minute.
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5x - (x-2) > 2x - 4 (x -8)
The odds against Chip beating his friend in a round of golf are 1 : 5. Find the probability that Chip will beat his friend
0.5,1/5,0.35,12/35,4/5 least to greatest
Over the last week the daily low temperatures in degrees Fahrenheit have been -4 , 6.2 , 18 1/2 , -5.9 , 21 , -1/4 , And 1.75.list all these numbers in order from greatest to least
An office supply store sells 128 pens in each bag. A business bought 9 bags of pens one month and 7 bags of pens the next month. How many pens total did the business buy?
A. 2,304 pens
B. 2,048 pens
C. 6,712 pens
D. 7,764 pens
The business bought a total of 2,048 pens over two months. In the first month, they purchased 1,152 pens, and in the second month, they purchased 896 pens.
Explanation:The problem involves simple multiplication and addition operations. First, we need to find out how many pens the business bought in total for each month. In the first month, the business bought 9 bags of pens, and each bag contains 128 pens. So, we multiply 9 (number of bags) by 128 (number of pens per bag) to get 1,152 pens for the first month.
For the second month, the business bought 7 bags of pens. Again, we multiply 7 (number of bags) by 128 (number of pens per bag) to get 896 pens.
Finally, we add together the totals for the two months: 1,152 pens (for the first month) plus 896 pens (for the second month) gives us a total of 2,048 pens bought by the business over the two months. So, the correct answer is B. 2,048 pens.
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Ryan made 3/4 of a gallon of lemonade. Each glass holds 1/8 of a gallon of lemonade. How many glasses can Ryan fill?
6 Glasses Ryan can made.
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:
Ryan made 3/4 of a gallon of lemonade.
Each glass holds 1/8 of a gallon of lemonade.
so, the number of glasses of Ryan made
= (3/4)/ (1/8)
= 3/4 x 8
= 3 x 2
= 6
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Mt. Everest rises 54768 feet in the air while Mt. Rushmore stretches a mere 8976 feet . What is the difference in the height of these two mountains expressed in scientific Notation?
The difference in height between Mt. Everest and Mt. Rushmore is 45,792 feet expressed in standard notation and 4.5792x10^4 feet in scientific notation.
Explanation:
The student is asked to calculate the difference in height between Mt. Everest and Mt. Rushmore and express that difference in scientific notation. The height of Mt. Everest is 54,768 feet and the height of Mt. Rushmore is 8,976 feet. To calculate the difference in height, subtract the height of Mt. Rushmore from the height of Mt. Everest: 54,768 feet - 8,976 feet = 45,792 feet.
To express this difference in scientific notation, move the decimal point to just after the first digit (4), resulting in 4.5792. Then count how many places you moved the decimal. In this case, it moved 4 places, so the exponent is 4. Therefore, the difference in height between Mt. Everest and Mt. Rushmore is approximately 4.5792x10^4 feet in scientific notation.
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A 6-foot-wide hallway is painted as shown, using equal amounts of white and black paint.
a. How long is the hallway?
b. Can this same hallway be painted with the same pattern, but using twice as much black paint as white paint? Explain.
we know that
The hallway is painted using equal amounts of white and black paint
so
To know the amount of white paint------> calculate the area of white paint
[tex]A=5x*6=30x\ ft^{2}[/tex]
To know the amount of black paint------> calculate the area of black paint
[tex]A=(x+1)*4*6=(24+24x)\ ft^{2}[/tex]
equate the areas
[tex]30x=(24+24x)\\30x-24x=24\\6x=24\\x=4\ ft[/tex]
Find the length of the hallway
[tex]5x+(4x+4)=9x+4=9*4+4=40\ ft[/tex]
therefore
the answer part a) is
The hallway is [tex]40\ ft[/tex] long
Part b) Can this same hallway be painted with the same pattern, but using twice as much black paint as white paint?
we know that
the amount of white paint is [tex]30x\ ft^{2}[/tex]
if the black paint is twice that the white paint
then
amount of black paint is [tex]2*30x=60x\ ft^{2}[/tex]
amount of black paint with the same pattern is [tex](24+24x)\ ft^{2}[/tex]
equate
(24+24x)\ ft^{2}=(60x)\ ft^{2}
solve for the new value of x
[tex]24x+24=60x\\ 60x-24x=24\\ x=24/36\\x= 2/3\ ft[/tex]
Find the new length of the hallway
[tex]5x+(4x+4)=9x+4=9*(2/3)+4=10\ ft[/tex]
therefore
the answer is
Yes, the same hallway can be painted with the same pattern, using twice as much black paint as white paint, but the hallway decreases in length
Answer:
Thank you so much callculista
Step-by-step explanation:
The formula y-y1 = m(x-x1) is the point-slope form of the equation of a lie where m is the slope of the line and (x,y) and (x1,y1)are points of the line. Solve the equation for m, and find slope of a line that includes the points (4,-2) and (5,0)
Answer:
m=2
Step-by-step explanation:
(5 x 8) x (5 x 8) = ___ squared