Mr. Smith has an online cooking show. Before he films an episode about baking the perfect pound cake, he prepares his ingredients. His recipe calls for 2 1 /2 cups of sugar for the cake and 1 1/ 4 cups of sugar for the vanilla glaze. How many 1 /4 -cup scoops of sugar does he need? Write your answer as a whole number, fraction, or mixed number. Simplify any fractions.
Answer:
15
Step-by-step explanation:
We are given
Mr. Smith's recipe calls for 2 1/2 cups of sugar for the cake and 1 1/4 cups of sugar for the vanilla glaze.
The total amount of sugar he would need
2 1/2 + 1 1/4
= (2 + 1) + (1/2 + 1/4)
= 3 3/4 cups of sugar.
We need this amount of sugar in 1/4 cup scoops.
This is calculated as:
let x be the number of scoops needed
x * 1/4 = 3 3/4
x* 1/4 = 15/4 ( 3 3/4 = 15/4)
x= 15
Therefore, he would be needing 15 , 1/4 cup scoop of sugar
pile of sand has weight of 90kg the sand is put into a small bag, medium bag and a large bag in the ratio 2:3:7
work out the weight of sand in each bag
Answer:
Sand in small bag = 2x = 2(7.5) = 15 kgSand in medium bag = 3x = 3(7.5) = 22.5 kgSand in a large bag = 7x = 7(7.5) = 52.5 kgStep-by-step explanation:
Total weight = 90 kg
As 90 kg has been distributed in 3 bags in the ratio 2:3:7
Let the small bag contains = 2x
Let the medium bag contains = 3x
Let the big bag contains = 7x
so the equation becomes
2x+3x+7x = 90
12x = 90
x = 90/12
x = 7.5
Thus,
Sand in small bag = 2x = 2(7.5) = 15 kgSand in medium bag = 3x = 3(7.5) = 22.5 kgSand in a large bag = 7x = 7(7.5) = 52.5 kgSOLUTION CHECK
15+22.5+52.5=90 kg
At Priscilla's Purse Warehouse, it takes 2 over 3 of a day to complete 1 over 9 of an order of purses. At this rate, how long will it take to complete the entire order of purses?
3 and 2 over 3 days
5 days
6 days
13 and 1 over 2 days
2/3 of a day = 1 purse
2/3 ×9 = or 2×9/ 3 =
= 18/3 = 18÷3 = 6
It will take 6 days to complete the entire order of purses
Answer:
6 days I do math yes yes
Anna is in charge of the alumni fundraiser for her alma mater. She is selling pre-sale tickets for $10 and at-the-door tickets for $25. The venue has the capacity to hold 400 people. The graph represents the number of tickets Anna needs to sell to offset her upfront costs and raise at least $5,000 for her school
What is the minimum number of pre-sale tickets she needs to sell to make her goal?
333
66
67
Answer:
67
Explanation:
Let us assume that Anna sells x number of pre-sale tickets and y number of at-the-door tickets.
Since, total capacity of the venue is 400, so we can write x + y = 400 ...... (1)
Now, given that each pre-sale ticket costs $10 and each at-the-door ticket costs $25, and the total funds she needs to raise is $5000
So, we can write 10x + 25y = 5000, ⇒ x + 2.5y = 500 .... (2)
Now, solving equations (1) and (2) we get,
(2.5 - 1)y = 500 - 400 = 100
⇒ 1.5y = 100
⇒ y = 66.67
Hence, from equation (1) we get, x = 400 - 66.67 = 333.33
Since Y can't be a fraction and it can not be < 66.67 (Otherwise the goal of $5000 can not be achieved)
So, the minimum number of at-the-door ticket she needs to sell to make her goal is 67.
The minimum number of pre-sale tickets she needs to sell to make her goal are 333.
What is a mathematical function, equation and expression? function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is that Anna is in charge of the alumni fundraiser for her alma mater. She is selling pre-sale tickets for $10 and at-the-door tickets for $25. The venue has the capacity to hold 400 people.
We can write the equations representing the given situation as -
10x + 25y = 5000 ....... Eq{1}
x + y = 400 ....... Eq{2}
where [x] represents the number of people who bought the pre-sale tickets for $10 and [y] represents the number of peoples who bought at-the-door tickets.
So, we can write -
x = (400 - y)
So, we can write -
10(400 - y) + 25y = 5000
4000 - 10y + 25y = 5000
15y = 5000 - 4000
15y = 1000
y = 66.67
So, we get -
x = 400 - 66.67
x = 333.34
x = 333 {approx.}
Therefore, the minimum number of pre-sale tickets she needs to sell to make her goal are 333.
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Simplify |−19+9/3| - |14−22/9|.
Answer:
22/9 is correct
Step-by-step explanation:
Please solve this it’s due in 2 hours I’ll give brainliest ONLY ANSWER IF YOU KNOW
Answer:
All are positive, and point upwards. The angle that they increase along the horizontal axis is different.
Step-by-step explanation:
There are no negative signs that the x is multiplied in any of the equations, and the number they are multiplied by is different for each graph: one is 1, another is 2, and the last is 3.
Iliana claims that she can construct a triangle from a 12-inch rod, a 36-inch rod, and a 39.4-inch rod. Which statement explains whether she is correct?
Iliana cannot construct a triangle because the sum of the two smaller sides will not be greater than the third side.
Iliana cannot construct a triangle because the sum of the two smaller sides will be greater than the third side.
Iliana will be able to construct a triangle because the sum of any two sides is greater than the third side.
Iliana will be able to construct a triangle because the sum of any two sides is less than the third side.
Answer:
C. Iliana will be able to construct a triangle because the sum of any two sides is greater than the third side.
Step-by-step explanation:
edge
Iliana will be able to construct a triangle because the sum of any two sides is greater than the third side.
How to determine the correct statement?The sides of the triangle are given as:
12, 36 and 39.4 inches
According to the triangle inequality theorem, the following must be true
x + y >= z
Where z is the longest side.
This means that:
12 + 36 >= 39.4
Evaluate the sum
48 >= 39.4
The above inequality is true
Hence, the true statement is (c)
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Write the fraction in simplest form: 55/132 ASAP pls help me
Answer:
5/12
Step-by-step explanation:
Reduce the expression by canceling the common factors
0.7456 nearest thousandth
Answer:
0.746
Step-by-step explanation:
Choose the inequality that describes the following problem.
Mark wants to get at least a 90% for his marks in his science class. So far, he has
taken five 100-points tests, and he scored 460 points total. The final test is 150
points. What must he score to finish the class at his goal of at least 90%?
Answer:
[tex]x\geq 125[/tex]
Step-by-step explanation:
So first we have to find out the total number of points possibleSo he took 5 tests each with a max score of 100 points, so that's 500 points totalThe final test will be 150 points, so his whole grade is out of 500+150= 650 pointsHe has already scored 460 of those 650 pointsNow how much must he get in the least, on the last test in order to make 90%?Now we need to find what 90% of 650 points isso [tex]\frac{90}{100} *650=\frac{90*650}{100} =585points[/tex] Then we ask ourselves, how much must we add to 460, to get 585 points? 585-460= 125 pointsSo Mark needs to get either 125 points or more on the next test to make 90% or moreNow let's say the letter [tex]x[/tex] means whatever grade number Mark gets on his next testThis number must not be less than 125, so it must be either equal to or greater than 125 pointsSo [tex]x\geq 125[/tex]It's due in like 10 minutes please help me out
Answer:
it should be x=4
Step-by-step explanation:
The line that is perpendicular to
y
=
−
3
is a horizontal line, because horizontal and vertical lines (
x
- and
y
- axes for example) are perpendicular. Therefore, this line will take the form
x
=
n
where
n
is the
x
-coordinate of the point passed through. The
x
-coordinate of the given ordered pair
(
4
,
−
6
)
is
4
, so the equation must be
x
=
4
i need help graphing this plz
Answer:
Step-by-step explanation:
Your going to start at -5 then go up 3 and over to the right 2 then repeat it over and over until you get your line. :)
Mary has $65,000 to invest in two accounts. The first account is a private savings offering 6% annual interest and the second account is a government savings account offering 4% annual interest. How much money should Mary invest in each account to make $3520 in total annual interest.
Answer:
first account with 6% interest ( x ) = $46000
second account with 4% interest ( y ) = $19000
Step-by-step explanation:
Principal = $65000
first interest rate = 6%
second interest rate = 4%
assuming ; X = money invested in first account , Y = money invested in second account
hence :
( 65000 - y ) * 6% + ( 65000 - x ) * 4% = 3520
3900 - 0.06 y + 2600 - 0.04 x = 3520
0.04 x + 0.06 y = 3900 + 2600 - 3520
0.04 x + 0.06 y = 2980 ----- ( 1)
x + y = 65000 ------- ( 2 )
solve equation 1 and 2 simultaneously by elimination method
0.04 x + 0.06 y = 2980 ------ ( 3 )
0.06 x + 0.06 y = 3900 ------- ( 4 )
subtract equation 3 form equation 4
0.02 x = 920 , hence x = $46000
therefore y = $65000 - $46000 = $19000
Select the expressions that are equivalent to 8(-3c).
-24c
C + 5
8 - 30
8(0 - 3)
A 234 inch board is cut into two pieces. One piece is five times the length of the order. Find the length of the shorter piece.
Answer:
39 inches
Step-by-step explanation:
5x+x=234
6x=234
234/6=39
x=39 inches
What’s the value for y?
Answer:
c -2
x=0
y=3x-2
=3×0-2
=0-2
=-2
A cylinder and a cone have the same diameter: 8 inches. The height of the cylinder is 3 inches. The height of the cone is 18 inches. Use π = 3.14. What is the relationship between the volume of this cylinder and this cone? Explain your answer by determining the volume of each and comparing them. Show all your work. (10 points)
Answer:
The volume of the cylinder is 1.5 more that the one of the cone (i think)
Step-by-step explanation:
HOPE THIS HELPS (i am not sure it is correct)
PLZZ MARK BRAINLIEST if correct
Answer:
Step-by-step explanation:
A cylinder and a cone have the same diameter: 8 inches. The height of the cylinder is 3 inches. The height of the cone is 18 inches.
Use π = 3.14.
Find the difference of functions s and r shown below. r(x) = –x² + 3x s(x) = 2x + 1 (s – r)(x) =
Answer:
[tex](s-r)(x)=x^2-x+1[/tex]
Step-by-step explanation:
So we subtract functions the same way we do numbers, ergo[tex](s-r)(x)=s(x)-r(x)\\ (2x+1)-(-x^2+3x)\\2x+1+x^2-3x\\x^2+2x-3x+1\\(s-r)(x)=x^2-x+1[/tex]Answer:
There are 2 parts of the equation
The first answer to answer is (2x+1)--(-x2+3x)
The second answer is x2--x+1
Step-by-step explanation:
I hope you have a wonderful day!!
Love you all!!
4. Find the sum of the first eighteen terms of the arithmetic sequence whose nth
term is an = 15 + 8n.
a. 1438
b. 1638
c. 1836
d. 1783
Answer:
The sum of first eighteen terms of the arithmetic sequence is [tex]\mathbf{S_{18}=1638}[/tex]
Option B is correct option.
Step-by-step explanation:
We need to find the sum of the first eighteen terms of the arithmetic sequence whose nth term is an = 15 + 8n
The formula used to calculate sum of arithmetic sequence is: [tex]S_n=\frac{n}{2}(a_1+a_n)[/tex]
Finding a₁ by putting n=1
[tex]a_n=15+8n\\a_{1}=15+8(1)\\a_{1}=15+8\\a_{1}=23[/tex]
We have [tex]a_1=23[/tex]
Finding 18th term n=18
[tex]a_n=15+8n\\a_{18}=15+8(18)\\a_{18}=15+144\\a_{18}=159[/tex]
So, the sum of first eighteen terms of the arithmetic sequence is:
[tex]S_n=\frac{n}{2}(a_1+a_n)\\S_{18}=\frac{n}{2}(a_1+a_{18})\\S_{18}=\frac{18}{2}( 23+159)\\S_{18}=9(182)\\S_{18}=1638[/tex]
So, the sum of first eighteen terms of the arithmetic sequence is [tex]\mathbf{S_{18}=1638}[/tex]
Option B is correct option.
Solve for X. x/7 + 9/1= 15
Answer:x=42 i think not a 100
Step-by-step explanation:
Find the slope of the line.
1/3
-1/3
3
-3
Answer:
if a line is like so it has a positive slope: / . IF a line is like this it has a negative: \
Therefore that leaves out -1/3 and -3
Either A or C is correct
From the y intercept (where the line intercepts the y axis), in this case 2, to the next point on the line (3, 3) it goes up 1 and over 3 to get to that point from the intercept. Therefore the slope is 1/3. (Rise/run)
1/3
Step-by-step explanation:
I need help with this
Answer:
A, B, and C
Step-by-step explanation:
We can substitute each number into each equation
2 < -1 + 5 true
2 > 1 true
1 > 0 true
A is correct
4 < -1 + 5 true
4 > 1 true
1 > 0 true
B is correct
3 < -0 + 5 true
3 > 0 true
0 > 0 true
C is correct
5 < -2 + 5 false
D is incorrect
PLEASE HELP ME
SOLVE FOR X
X varies directly with the square of y, where x > 0, and y > 0. If x= 3 when y= 5, then what is the value of y when x = 48?
Answer: 50 i think
Step-by-step explanation:
The Anderson family is preparing for a family reunion. They think they will need 22 juice boxes for every 6 children who attend. How many juice boxes will they need if they are expecting 15 children?
Answer:
52
Step-by-step explanation:
26 divided 4 multiplied by 8 equals 52
Unit rate is the quantity of an amount of something at a rate of one of another quantity.
1 children = 22/6 juice boxes
15 children = 55 juice boxes
The number of juice boxes that are needed for 15 children is
55 juice boxes.
What is a unit rate?It is the quantity of an amount of something at a rate of one of another quantity.
In 2 hours, a man can walk for 6 miles
In 1 hour, a man will walk for 3 miles.
We have,
They think they will need 22 juice boxes for every 6 children who attend.
This can be written as,
6 children = 22 juice boxes
Divide 6 on both sides.
1 children = 22/6 juice boxes
Multiply 15 on both sides.
15 children = 15 x 22/6 juice boxes
15 children = 5 x 11 juice boxes
15 children = 55 juice boxes
Thus,
The number of juice boxes that is needed for 15 children is
55 juice boxes.
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Point A is located at and point B is located at . What is the distance between points A and B? (1 point)
Question 9 options:
1)
= ; therefore, the distance from A to B is units
2)
= ; therefore, the distance from A to B is units
3)
= ; therefore, the distance from A to B is units
4)
= ; therefore, the distance from A to B is units
As your question is missing some information, so after some research I was able to find the potential question you wanted to ask which is:
Point A is located at negative 4 over 6 and point B is located at negative 1 over 6. What is the distance between points A and B?
So, I am going to answer you based on the complete question I was able to find, which anyways would clear your concept.
Answer:
The distance between A and B will be: [tex]\frac{3}{6}[/tex]
Step-by-step explanation:
From the question statement, it is clear that
Point A is located at negative 4 over 6 i.e. -4/6, and
point B is located at negative 1 over 6 i.e. -1/6.
As we know that we can determine the distance between two negative numbers on a given line by finding the distance by taking the absolute value of the difference between those numbers.
so,
Distance between A and B will be:
[tex]\left|-\frac{4}{6}-\left(-\frac{1}{6}\right)\right|=\left|-\frac{4}{6}+\frac{1}{6}\right|[/tex]
[tex]=\left|\frac{-4+1}{6}\right|[/tex]
[tex]=\left|-\frac{3}{6}\right|[/tex]
[tex]=\frac{3}{6}[/tex]
Hence, the distance between A and B will be: [tex]\frac{3}{6}[/tex]
point A is located at -2, 5
point B is located at 5,5
the distance is 7 units
Find A and B if the graph of Ax + By = 12 passes through (2,1) and is parallel to the graph of 2x - 7y = 3
Answer:
24-21
Step-by-step explanation:
2×12=24 7×3=21 I started from 2×2 towards 2×12 when I got the answer and I started 7×1 towards 7×3
3/8 - ( -1/4 ) simplify
Answer:
5/8
Step-by-step explanation:
Subtracting a negative is the same as adding.
3/8 - (-1/4) = 3/8 + 1/4 = 3/8 + 2/8 = 5/8
Answer:
3/8+2/8=5/8, so the answer is 5/8.
Last week, April and Kwaku raised money for Hurricane Harvey victims. April raised $48 which is 150% of what
Kwaku raised. How much money did Kwaku raise?
Answer:
60
Step-by-step explanation:
Answer 48 is a 150% of what number
Step-by-step explanation:
32
150 percent (calculated percentage %) of what number equals 48? Answer: 32.
Divide 405 in the ratio
4:11
Answer:
U
Step-by-step explanation:
Hahahahah
Three times a number added to six is equal to five times the same number.
Answer: 4 times 3 equals 12, and that plus 6 is 18. 18 divided by 5 is not 4, sorry if i interpreted your statement wrong, but that is incorrect, or my brain is melting. Help.
Step-by-step explanation: