The answer is C, 4 to the 21st over 5 to the 6th power.
Tropical dried fruit costs $1.50 per pound and regular dried fruit costs $0.90 per pound. You want to create a mixed bag of tropical dried fruit and regular dried fruit that is worth $1.30 per pound. How many pounds of tropical dried fruit do you need if you have already purchased 50 pounds of regular dried fruit?
t = total amount of lbs of Tropical dried fruit
m = total amount of lbs of mixed bag
[tex]\begin{array}{lcccl} &\stackrel{fruit}{lbs}&\stackrel{per~lb}{price}&\stackrel{total}{price}\\ \cline{2-4}&\\ \textit{tropical fruit}&t&1.50&1.5t\\ \textit{regular fruit}&50&0.90&45\\ \cline{2-4}&\\ \textit{mix bag}&m&1.30&1.3m \end{array}~\hfill \begin{cases} t+50=m\\ 1.5t+45=1.3m \end{cases} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{\textit{substituting on the 1st equation}}{1.5t+45=1.3\stackrel{m}{(t+50)}}\implies 1.5t+45=1.3t+65\implies 0.2t+45=65 \\\\\\ 0.2t=20\implies t=\cfrac{20}{0.2}\implies \boxed{t=100}[/tex]
find the angle of rotation that maps point D onto point A
Answer:
A - 144
Step-by-step explanation:
everything else would be too far
Write a multiplication equation that represents the question: how many 2/3 are in 9/8?
how many 2/3 are in 9/8?
or another way to put it will be
how many times does 2/3 go into 9/8?
well, is simply a division.
[tex]\cfrac{9}{8}\div \cfrac{2}{3}\implies \cfrac{9}{8}\cdot \cfrac{3}{2}[/tex]
Kyla earns a commission. She makes 2.5% of the amount she sells. Last week, she sold
$3,500 worth of furniture. How much was her commission?
Answer:
$87.50
Step-by-step explanation:
Find an equation of the plane.
The plane that contains the line
x = 3 + 2t,
y = t,
z = 6 − t
and is parallel to the plane
2x + 4y + 8z = 16
Answer:
x +2y +4z = 27
Step-by-step explanation:
The parallel plane will have the same coefficients of x, y, z as the given plane. We notice those have a common factor of 2, so the equation can be reduced to ...
x +2y +4z = constant
This equation is satisfied for every point on the line, so we have ...
(3 +2t) +2(t) +4(6 -t) = constant . . . . . substituting for x, y, z
3 +2t +2t +24 -4t = constant
27 = constant
The equation of the desired plane is ...
x +2y +4z = 27
The normal to the given plane is (2, 4, 8), and the plane we want is parallel to this one so it has the same normal vector.
When t = 0, the given line, and thus the plane we want, passes through the point (3, 0, 6).
Then the equation of the plane is given by
(2, 4, 8) • (x - 3, y - 0, z - 6) = 0
2 (x - 3) + 4y + 8 (z - 6) = 0
2x + 4y + 8z = 54
or
x + 2y + 4z = 27
4. This diagram is a straightedge and compass construction of a line perpendicular to line AB passing through point C. Which segment has the same length as segment EA.
a. EC
b. ED
C. BE
d. BD
Answer:
Segment ED has the same length as EA
The line segment which is equal to EA is ED. Therefore, option B is the correct answer.
In the given diagram, a line perpendicular to line AB passes through point C.
What is the tangent to the circle?A tangent to a circle is a line which intersects the circle at only one point. The common point between the tangent and the circle is called the point of contact.
The length of two tangents drawn from an external point to a circle is equal.
From the given figure we can see there are three circles, two large circles and one small circle.
Line segment EA is tangent to a small circle.
The line segment which is equal to EA is ED because ED is another tangent to a small circle from the same external point.
The line segment which is equal to EA is ED. Therefore, option B is the correct answer.
To learn more about the tangent to a circle visit:
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I wish this was free ✋
Answer: It is tho ?
Step-by-step explanation:
Latex paint sells for $21 per gallon and will cost you $210 to paint your room. If each gallon will cover 300 square feet, how many square feet of wall space do you have in your room?
square feet
Answer: 3000 square feet
Step-by-step explanation: 21x10=210 . 300x10=3000
Use the function below to find f(-2).
f(x) = 5x
O A. -25
O B. 1/10
O c. 1/25
O D. -10
Answer: is c. 1/25
the question is a year old but thought i'd help out and answer it since i just took the test on a.pex and the only other answer to the question is wrong
The value of the function f(2) is -10.
Option D is the correct answer.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
To find f(-2), we need to substitute -2 for x in the function f(x) = 5x:
So,
f(-2) = 5(-2) = -10
Therefore,
The value of the function f(2) is -10.
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Which of the following is equivalent to [picture]
A) a0 + a1 + a2 + a3 + a4 + a5
B) a1 + a2 + a3 + a4 + a5
C) a0 + a1 + a2 + . . .
D) a1 + a2 + a3 + . . . + a∞
Answer:
A) a0 + a1 + a2 + a3 + a4 + a5
Step-by-step explanation:
Answer:
A) a0 + a1 + a2 + a3 + a4 + a5
Step-by-step explanation:
Write the percent as fraction or mixed number in simplest form 34%
Answer: 34/100
Step-by-step explanation:
it is 34% out of 100, so it is 34/100. Reduced is 17/50
Convert the following fraction to a decimal.
Can someone please help me.
Answer:
make that 30 percent int a fraction and u should know what to do
Step-by-step explanation:
LAST ATTEMPT MARKING AS BRAINLIEST!! (Graph the image of the figure using the dilation given)
Answers:
[tex]L(1,0) \to L \ ' \ (4.5,0)\\\\J(-1,-1) \to J \ ' \ (-4.5, 4.5)\\\\K(-1,1) \to K \ ' \ (-4.5,4.5)\\\\[/tex]
===================================
Explanation:
We multiply each coordinate of each point by the scale factor 4.5
For example, point L(1,0) moves to L ' (4.5, 0) since 4.5*1 = 4.5
This trick only works because the origin is the center of dilation. If the center is some other point, then you'd have to translate first, dilate, then translate back again.
PLS HELP!!!!!! (again! XP)
Express each of these numbers, as a product of two fractions 2/25
Please help me solve this math problem
Answer:
I think it is undefined.
LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Draw a dilation of the figure using the given scale factor )
个,
4800
3. Alexander is taking 15 credit-hours this semester at college. The
relationship between tuition and credit hours is shown by the graph below.
What is the constant of proportionality?
A. 15
B. 400
C. 800
D. 6000
4400
4000
3600
3200
2800
2400
2000
Tuition
1600
1200
800
400
2
3
S
4
Credit Hours
7
&
9
Answer:
4800
3. Alexander is taking 15 credit-hours this semester at college. The
relationship between tuition and credit hours is shown by the graph below.
What is the constant of proportionality?
A. 15
B. 400
C. 800
D. 6000
4400
4000
3600
3200
2800
2400
2000
Tuition
1600
1200
800
400
2
3
S
4
Credit Hours
7
&
9
Step-by-step explanation:
3.Original DNA sequence: 3' TACCGCTTACGTCTGATCGCT 5'
Mutated DNA sequence: 3' TACCGCTTATTATTACGTGCTGCTATCGCT 5'
Type of mutation (3pts):
Amino acid ( 3pts):
Type of mutation ( 3pts):
4. Original DNA sequence: 3' TACCGCTTACGTCTGATCGCT 5'
Mutated DNA sequence: 3' TACCGCTAATTATTACGTGCTGCTATCGCT 5'
Type of mutation ( 3pts) :
Amino acid ( 3pts):
Type of mutation ( 3pts):
3. The original sequence
TAC - CGC - TTA - CGT - CTG - ATC - GCT
codes for
tyr - arg - leu - arg - leu - ile - ala
while the mutated sequence codes for
TAC - CGC - TTA - TTA - TTA - CGT - GCT - GCT - ATC - GCT
tyr - arg - leu - leu - leu - arg - ala - ala - ile - ala
There are several frameshift mutations involved here:
• the first inserts 6 bases (TTA - TTA)
• the second inserts 1 base (G) before the CTG triplet (underlined)
• the third inserts 2 bases (CT) after the CTG triplet
4. The original sequence is the same as before. The mutated sequence
TAC - CGC - TAA - TTA - TTA - CGT - GCT - GCT - ATC - GCT
codes for
tyr - arg - STOP - leu - leu - arg - ala - ala - ile - ala
Then
• there is a (nonsense) point mutation that swaps T for A in the original TTA triplet (nonsense since it produces a stop codon that would halt replication/expression)
• there is a frameshift mutation that inserts 3 bases (TTA)
as well as two other frameshift mutations that also occurred in the previous part.
A rectangle that measures 10 inches by 7 inches.
Which expression will determine the perimeter, in inches, of the rectangle?
Answer:
( 2 x 10 ) + ( 2 x 7)
Step-by-step explanation:
Hope this helped!
Answer: 34 inches Perimeter = 2L + 2W
Step-by-step explanation:
A rectangle has two sets of equal side lengths. We'll assign 10 inches to the length, L, and 7 inches to the width, W.
The perimeter of a rectangle is 2L + 2W
Perimeter, P = 2(10) + 2*(7)
P = 20 + 14
P = 34 inches
William has $22 to buy strings for his guitar. Each set of strings costs $5.
How many sets of strings can he buy? Do not include units in your answer.
Answer here
SUBMIT
Answer:
4
Step-by-step explanation:
4 sets of strings will cost:
4×5=20
He will have $2 left over. Not enough to buy another set.
Or 5x<=22 DIVIDE BOTH SIDES BY 5
x <= 4.4 since he cannot buy .4 sets (this is a fraction of a set) He can only buy 4 sets
Complete the table of ordered pairs for the linear equation
Answer:
Step-by-step explanation:
See attachment.
Find the value of x need help
Answer:
x = -8
Step-by-step explanation:
Angle 2 would be the same as 139
thus if angle 2 = x+147
then
139 = x + 147
x = -8
After a party there is 3/4 of a pizza left. You split it evenly between you and 3 friends. What fraction of a pizza does everyone get?
Answer:
3/16
Step-by-step explanation:
3/4÷4=3/16
Since there are 4 people, not 3, divide the remaining pizza by 4.
A hose fills a pool up at a rate of 15 gallons every 2 hours. At this rate how many
gallons of water will be in the pool in 24 hours?
Answer:
there will be 180 gallons of water in the pool after 24 hours
Step-by-step explanation:
[tex]\frac{15}{2} *\frac{12}{12}= \frac{180}{24}[/tex]
Answer:
180 gallons
Step-by-step explanation:
Ok so,
2 hours = 15 gallons.
if we multiply both sides by 12 we can find out how many gallons of water will be in the pool in 24 hours
2 x 12 = 24
15 x 12 = 180
There will be 180 gallons of water in the pool after 24 hours.
pls help me in this question
a . If 3x,2x and (x+12) are supplymentary angles find the sizes of unknown angles
Answer:
x=28°
Step-by-step explanation:
supplementary angles equal 180°
So:
3x+2x+x+12=180°
6x+12=180
6x=168
x=28°
Therefore:
3x:
3(28)=84°
2x:
2(28)=26°
x+12:
28+12=40°
Question One:
An Internet-based company that sells discount accessories for cell
phones often ships an excessive number of defective products. The
company needs better control of quality. Suppose it has 20 identical
car chargers on hand but that 5 are defective. If the company decides
to randomly select 10 of these items, what is the probability that 2 of
the 10 will be defective?
Probability that 2 of the 10 chargers will be defective =0.35
Number of ways of selecting 10 chargers from 20 chargers is 20C10
20C10 = 184756
Number of ways of selecting 10 chargers from 20 = 184756
Number of ways of selecting 2 defective chargers from 5 defective chargers = 5C2
5C2 = 10
Since 2 defective chargers have been chosen, there remains 8 to choose
Number of ways of selecting 8 good chargers from 15 remaining chargers = 15C8
Number of ways of selecting 8 good chargers from 15 remaining chargers = 6435
Probability that 2 of the 10 will be defective =
(10x6435)/184756
Probability that 2 of the 10 will be defective = 64350/184756
Probability that 2 of the 10 chargers will be defective =0.35
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if x+1/x=7,find x^2+1/x^2
Answer:
x²+1/x² = 51
Explanation:
Given x - 1/x = 7 ---(1)
We know the algebraic identity:
a²+b²-2ab = (a-b)²
Or
a²+b² = (a-b)²+2ab
Now,
x²+1/x²
= (x-1/x)²+2*x*(1/x)
= (x-1/x)²+2
:7²+2 [ from (1)] =
= 49+2
= 51
Therefore,
x²+1/x² = 51
help me plssssssssssssssssssss
Answer:
multiply by 2
Step-by-step explanation:
Examine the figure. What is the measure of angle a?
A = 180-90-31
A = 59
Answer: 59