Marcy is making cookies. For each batch of dough, she needs 23 cup of sugar. How much sugar will she use if she makes 6 batches of cookies?
Answer:
138 cups of sugar
Step-by-step explanation:
23 cups for 1 batch times 6 batches equals 138.
23*6=138
86% of a university's freshman class are majoring in Computer Science. If 8514 students in the freshman class are Computer Science majors, how many students are in the freshman class?
Answer:
9900 Students
Step-by-step explanation:
Divide 8513 by .86 to show the rest of the freshman class.
You can check by doing 9900 times .86 to see %86 of 9900
Total there are 9900 students are in the freshman class.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given that, 86% of a university's freshman class are majoring in Computer Science.
8514 students in the freshman class are Computer Science majors.
Let the number of students are in the freshman class be x.
Here, 86% of x=8514
86/100 ×x=8514
86x=851400
x=851400/86
x=9900
Therefore, total there are 9900 students are in the freshman class.
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LMN is a right-angle triangle. Angle NLM=90. PQ is parallel to LM. The area of triangle PNQ is 8cm^2. The area of triangle LPQ is 16cm^2. Work out the area of triangle
Answer:
The area of LQM is [tex]48cm^2[/tex]
Step-by-step explanation:
Given
Area of PNQ = 8
Area of LPQ = 16
See attachment for triangles
The area of PNQ is calculated as:
[tex]Area = \frac{1}{2} * PQ * PN[/tex]
Substitute 8 for Area
[tex]8 = \frac{1}{2} * PQ * PN[/tex]
[tex]PQ * PN = 16[/tex]
The area of LPQ is calculated as:
[tex]Area = \frac{1}{2} * PQ * LP[/tex]
Substitute 16 for Area
[tex]16= \frac{1}{2} * PQ * LP[/tex]
From the attachment:
[tex]PN + LP =LN[/tex]
Make LP the subject
[tex]LP = LN -PN[/tex]
So:
[tex]16= \frac{1}{2} * PQ * (LN -PN)[/tex]
We have:
[tex]16= \frac{1}{2} * PQ * (LN -PN)[/tex] and [tex]PQ * PN = 16[/tex]
Equate both expressions:
[tex]\frac{1}{2} * PQ *(LN - PN) = PQ * PN[/tex]
Divide both sides by PQ
[tex]\frac{1}{2} (LN - PN) = PN[/tex]
Multiply both sides by 2
[tex]LN - PN = 2PN[/tex]
[tex]LN= 3PN[/tex]
Since PNQ is similar to LNM, the following equivalent ratios exist:
[tex]\frac{LM}{PQ} = \frac{LN}{PN}[/tex]
Substitute [tex]LN= 3PN[/tex]
[tex]\frac{LM}{PQ} = \frac{3PN}{PN}[/tex]
[tex]\frac{LM}{PQ} = 3[/tex]
[tex]LM = 3PQ[/tex]
Area of LQM is:
[tex]Area = \frac{1}{2} * LM * LP[/tex]
This gives:
[tex]Area = \frac{1}{2} * 3PQ * LP[/tex]
[tex]Area = 3 *\frac{1}{2} *PQ * LP[/tex]
Recall that:
[tex]16= \frac{1}{2} * PQ * LP[/tex]
So:
[tex]Area = 3 *16[/tex]
[tex]Area = 48cm^2[/tex]
Please help
-2x = x - 15
Answer: x=5
Step-by-step explanation:
subtract x from both sides
-2x-x=x-15-x
-3x=15
then divide both sides by -3
-3x=-15
-3x -3
x=5
hope this helps! please mark as brainliest! Thanks
The money used in Tajikistan is called the Somoni. The exchange rate is $7 = 22 Somoni. Find how many dollars you would receive if you exchanged 66 Somoni.
A: $207.43
B: $21
C: $16
D: $18
Answer:
B: $21
Step-by-step explanation:
Evaluate the expression 3 ⋅ 2^t , when t=1. *
Answer:
6
Step-by-step explanation:
3 ⋅ 2^t
Let t=1
3 ⋅ 2^1
Exponents first
3 * 2
6
Simplify the expression: ∣∣112 − 56∣∣ − (25 + 110)
The answer should be -79
Given that,
The equation is ∣∣112 − 56∣∣ − (25 + 110).Based on the above information, the calculation is as follows:
= (112 - 56) - (25 + 110)
= 56 -135
= -79
Learn more: brainly.com/question/17429689
Answer:
1/4
Step-by-step explanation:
I got it right
72 in.= ______ yd.
yd.=yards
in.=inches
HOW MANY YARDS ARE IN 72 INCHES? HOW DO I SHOW MY WORK FOR THAT???!!!!!
correct=brainliest
Answer:
72 inches equals 2 yards to get the answer you divide 72 by 36 which equals 2 .
Step-by-step explanation:
Use the course calculator to solve this problem:
8 + 17 × 26
Answer:
450
Step-by-step explanation:
8+17=25
25x26=450
Answer: 500
Step-by-step explanation:
You have to do multiplication first according to PEMDAS so you do 17 times 26 and you get 442 add 8 you get 500.
WILL GIVE BRAIN IF CORRECT
i. c b a
ii. e d f
iii. h i g
hope this helps
now give me your brain lol
Answer:
1. (<A) > (<B) > (<C)
2. (<F) > (<D) > (<E)
3. (<H) > (<I) > (<G)
Step-by-step explanation:
The sides-angles theorem in a triangle states that the largest angle in a triangle will be opposite the largest side. One can apply this to the given set of triangles:
(1)
CB > AC > AB
4.4 > 3.1 > 2.7
(<A) > (<B) > (<C)
(2)
DE > FE > DF
(x) > (x-3) > (x-5)
(<F) > (<D) > (<E)
(3)
GI > GH > HI
(21x) > (14x) > (13x)
(<H) > (<I) > (<G)
What percent of 50 is 36?
Answer:
72%
Step-by-step explanation:
%/100 = is/of Write formula
x/100 = 36/50 Substitute known values
50x=3600 Cross multiply
/50 /50 Divide both sides by 50 to isolate x
x =72
What is the value of x in the equation (x/5) - 1 = 5.2
I need the work btw
Answer: 31
Step-by-step explanation:
(x/5) - 1 = 5.2
x/5 = 6.2
x = 6.2 x 5
x = 31
Answer:
To find
=>The value of x in the Equation => (X/5)-1=5.2
Step-by-step explanation:
(X/5)-1 =5.2
(X/5)= 5.2+1
x/5=6.2
X= 6.2*5
X=31
Classify the triangle by its sides:
17 cm, 5 cm, 13 cm?
Answer:
13 cm i think.
Step-by-step explanation:
Dr. Porterfield a financial counselor guru informed Mr. Halpayne he needs $2,000,000 saved if he intends to retire with his wives (7 of them) and not be homeless in future. Calculate the present value Mr. Halpayne needs if he intends to retire in 20 years provided he invests in a financial plan that pays 5% interest compunded monthly.
9514 1404 393
Answer:
$737,289
Step-by-step explanation:
The future value of an investment P invested at rate r per year compounded monthly for t years is ...
FV = P(1 +r/12)^(12·t)
We want to find P for the given future value, so we can solve for that:
P = FV/(1 +r/12)^(12·t) = FV(1 +r/12)^(-12·t)
P = $2,000,000(1 +.05/12)^(-240) = $737,289
Mr. Halpayne needs a present value of $737,289 to support his retirement.
Read aloude What fraction of the jug did the three boys drink at the soccer game?
Answer:
1/3
Step-by-step explanation:
if all the boys drank out of the jug than the fraction would be 1/3
1/3+1/3+1/3=1
An isosceles triangle has an angle that measures 110°. Which other angles could be in that isosceles triangle? Choose all that apply
Answer:
2. 35 degree.
Answer:
35°, 35°
Step-by-step explanation:
An isosceles triangle has 2 congruent angles.
The sum of the measures of the angles of a triangle is 180°.
A triangle cannot have 2 angles measuring 110° each since that sum alone equals 220° which is more than 180° before taking into account the measure of the third angle.
That means the angle measuring 110° must be the vertex angle. The other two angles are congruent, and each one measures x.
x + x + 110 = 180
2x + 110 = 180
2x = 70
x = 35
Answer: 35°, 35°
4=2/9x A) 6 B) 9 C) 15 D) 18
Answer:
D. 18
Step-by-step explanation:
multiply both sides by 9/2, the reciprocal of 2/9.4×(9/2)=x
express 4×(9/2) as a single fraction.4×9/2=x
multiply 4 and 9 to get 36.36/2=x
divide 36 by 2 to get 18.18=x
swap sides so that all variable terms are on the left hand side.x=18
Answer:
D 18
Step-by-step explanation:
you devide 4 by 2/9 and get your answer
Help asap! I really need some help here!!!
Answer: 9 ft2
Step-by-step explanation:
i took that test yesterday
Can someone please help me with this math question
Answer:
The answer would be D
Step-by-step explanation:
Most of the points are grouped together and can be define by a line or equation so there is a correlation between the outside temperatures and the heating cost so right away we can eliminate option A
There is no such thing as a constant correlation so we can eliminate answer choice C
As the temperatures rise ( or as the x values rise) the cost of heating decreases ( or the y values decrease) This is an example of negative correlation correlation because as one value increase the other value decreases.
this is also notable from looking at the graph .
name three solutions of the inequality of z < 4
the answer is: 1,2,3
the inequality represents less than, meaning the value of z is less than 4
which leaves us with 3 numbers, 1, 2 and 3
An angle measures (2x + 11).
. What is the measure of an angle that is vertical to the given angle?
Please help ASAP
The required measure of a vertical angle is given as 2x + 11.
An angle measures (2x + 11). The measure of an angle that is vertical to the given angle is to be determined.
What is the angle?orientation of one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.
here,
The measure of angle remains the same because vertical angles are always equal for the two intersecting lines.
Thus, the required measure of a vertical angle is given as 2x + 11.
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Convert the mixed number into an improper fraction: 3 2/9
In the diagram, which two angles are alternate interior angles with angle 14?
4 lines intersect to form 16 angles. The angles created, clockwise from top left are 1, 2, 3, 4; 5, 6, 7, 8; 13, 14, 15, 16; 9, 10, 11, 12.
Angle 4 and Angle 12
Angle 3 and Angle 9
Angle 2 and Angle 10
Angle 12 and Angle 15
Answer: Angle 3 and Angle 9
Step-by-step explanation:
Answer:
3 9
Step-by-step explanation:
If a=b-2x/x+c,then what is the value of x in terns of a,b & c ?
Answer:
[tex]x=\frac{b-ac}{a+2} ; a\neq -2[/tex]
Step-by-step explanation:
Multiply both sides: by x+c
a(x+c)=[tex]\frac{b-2x}{x+c}[/tex] (x+c)
Simplify: a(x+c)=b-2x
Expand: ax+ac=b-2x
Subtract ac from both sides: ax+ac-ac=b-2x-ac
Simplify: ax=b-2x-ac
Add 2x to both sides: ax+2x=b-2x-ac+2x
Simplify: ax+2x=b-ac
Factor ax+2x: x(a+2)
x(a+2)=b-ac
Divide both sides by a+2: [tex]\frac{x(a+2)}{a+2}[/tex] = [tex]\frac{b}{a+2}[/tex] - [tex]\frac{ac}{a+2}[/tex] ; a≠-2
Simplify: [tex]x=\frac{b-ac}{a+2} ; a\neq -2[/tex]
13) Which set of values is a function?
*
Answer:
The first option
Step-by-step explanation:
The points represented by the table lie on a line. How can you find the slope of the line
from the table? What is the slope of the line?
Answer:
Step-by-step explanation:
okay so you can take any two points 1 x one y in the form (x, y) and (x, y) so
(2, 5) and (4, 1)
then use the slope formula y2-y1/ x2 -x1
1-5+=4
4-2=2
slope equals 4/2 simplified equals 2
I THINKKKKK!
Using the digits 1, 3, 5, 7 at most once, you can make many three-digit numbers. What is the maximum possible sum of two such distinct numbers?
Answer:
1504
Step-by-step explanation:
Given the digits :
1, 3, 5, 7
The maximum possible sum of two distinct three digit numbers formed from the digits above will be the sum of the the two hight possible three digit numbers that can be formed.
Highest three digit number = 753
Next highest = 751
The sum of these two. Values gives :
753 + 751 = 1504
SOMEONE PLEASE HELP MEEEEE3
What's the product of 3 2/3 and 14 2/5 ?
A. 52 4/5
B. 52 4/15
C. 54
D. 42 4/5
Answer:
52 4/5
Have a nice day! :)
Factor by using the distributive property: 8x - 4y + 20.
a.2(4x - 2y + 10)
b.8(x - y + 12)
c.4xy(2x - 2y + 5)
d.4(2x - y + 5)