Answer:
No, she won’t make a profit
Step-by-step explanation:
Here, we are interested in determining if Lucy made a profit or a loss.
The cost of blue paint is 30 pounds for 5 liters. This means that a liter of blue paint is 30/5 = 6 pounds per liter
The cost of yellow paint is 28 pounds per 7 liters, the cost per liter is 28/7 = 4 pounds per liter
Now, in her mixing, she mixes 5 parts of yellow paint and 2 parts of blue paint.
This means that she mixed them the ratio as follows per liter;
For yellow, we have; 5/(5+2) = 5/7
For blue we have 2/(5+2) = 2/7
Now since a liter of yellow paint cost 4 pounds
5/7 of a liter will cost 5/7 * 4 = 20/7 pounds
For the blue paint, a liter cost 6 pounds, 2/7 of a liter will cost 2/7 * 6 = 12/7
The total cost in pounds in this;
20/7 + 12/7 = 32/7 = £4.57 pounds to 2 decimal place
Now she sells her green paint product at £4.5 per liter. Since this is less than the cost price of production which is £4.57, she is running at a loss
Each person in Plimouth was given a plot of land 16.7 m wide by 40.8 m long. The Alden family had four members. What was the square area of the plot of land they were allotted?
Answer:
They were allotted 2725.44 meters² of land.
Step-by-step explanation:
Well a member of the Alden family gets 16.7 meters×40.8 meters or 681.36 meters². Now since there are 4 of them, we multiply how much land one Alden family gets by 4 members.
681.36 m²×4 people = 2725.44 meters²
Answer:
2,725.44 square meters
Step-by-step explanation:
We can do all of the necessary math at once:
(16.7 m)(40.8 m)(4 persons) = 2,725.44 square meters
Is 6.584 a rational
number?
Answer:
Step-by-step explanation:
To get rid of the decimal point in the numerator, we count the numbers after the decimal in 6.584, and multiply the numerator and denominator by 10 if it is 1 number, 100 if it is 2 numbers, 1000 if it is 3 numbers, and so on.
Therefore, in this case we multiply the numerator and denominator by 1000 to get the following fraction: 6584 / 1000
Then, we need to divide the numerator and denominator by the greatest common divisor (GCD) to simplify the fraction.
The GCD of 6584 and 1000 is 8. When we divide the numerator and denominator by 8, we get the following: 823 / 125
Therefore, 6.584 as a fraction is as follows: 823 / 125
Write the explicit formula for the sequence. Then find the fifth term in the sequence.
a1= 3, r=-3
Answer:
a) Explicit Formula : aₙ = 3. (-3)ⁿ⁻¹
b) Fifth term : a₅ = 243
Step-by-step explanation:
This sequence above is the Geometric sequence. The Geometric sequence is calculated using the formula
aₙ= a1.rⁿ⁻¹
where a1 = first term
r = common ratio
n = number of terms
From the above question, we are given
a1= 3, r=-3 and asked to find the explicit formula.
The explicit formula using the geometric sequence formula =
aₙ = 3. (-3)ⁿ⁻¹
b) The fifth term in the sequence is calculated as
aₙ = 3. (-3)ⁿ⁻¹
Where n = 5
a₅ = 3.(-3)⁵⁻¹
a₅ = 3.(-3)⁴
a₅= 243
Of the 650 students at westMoreland junior high ,80% will attend the field trip . How many students will attend the field trip ?
Answer:
520
Step-by-step explanation:multiply 650 by 80 amd then divide by 100
or simply multiply 650 by 0.8
520 number of students will attend the field trip.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
Given that there are 650 students at westMoreland junior high.
80% of the students will attend the field trip.
We need to find the students will attend the field trip.
We need to find what is 80% of the 650.
firstly let us convert 80% to decimal by dividing 80 with 100.
80/100=0.8
Now multiply 0.8 with 650
0.8×650
Zero point eight × Six hundred fifty.
520
Hence, 520 number of students will attend the field trip.
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The manager of a clothing store in the mall wants to collect data to find out customers' opinions of the brands of clothing sold at the store. Which group should he survey to collect the best data?
A.
twenty customers who asked to share their opinions of the clothing brands with the store manager
B.
twenty-five customers who visited the store but did not purchase any clothes
C.
thirty randomly selected customers who shopped at the clothing store
D.
forty randomly selected people in the mall parking lot
Answer:
c
Step-by-step explanation:
Its wouldn't be A since there are numbers bigger than 20 B is not correct since it said 25 people that did not buy any clothes so you would not get a good opinion its not D because out of the 40 people some could have not bought anything from the store. Its C because its the biggest number of people that actually shopped and got things from that store
Answer:
Answer:
c. Thirty randomly selected customers who shopped at the clothing store.
Step-by-step explanation:
Solve 2y - 3 = 4y +6.
I
y=
Answer:
-9/2
Step-by-step explanation:
Begin by subtracting 2y from both sides
(2y - 2y) - 3 = (4y - 2y) + 6
-3 = 2y + 6
Then, subtract 6 from both sides
(-3 - 6) = 2y + (6 - 6)
-9 = 2y
Finally, divide by 2 on each side
(-9/2) = (2y/2)
y = -9/2
What number should be added to both sides of the equation to complete the square? x2 + 3x = 6 (StartFraction 3 Over 2 EndFraction) squared 3 62
Answer:
b
Step-by-step explanation:
The number that should be added to the equation is n = ( 3/2 )²
What is Quadratic Equation?A quadratic equation is a second-order polynomial equation in a single variable x , ax² + bx + c=0. with a ≠ 0. Because it is a second-order polynomial equation, the fundamental theorem of algebra guarantees that it has at least one solution. The solution may be real or complex.
The roots of the quadratic equations are
x = [ -b ± √ ( b² - 4ac ) ] / ( 2a )
where ( b² - 4ac ) is the discriminant
when ( b² - 4ac ) is positive, we get two real solutions
when discriminant is zero we get just one real solution (both answers are the same)
when discriminant is negative we get a pair of complex solutions
Given data ,
Let the quadratic equation be represented as A
Now , the value of A is
To complete the square for the quadratic equation x^2 + 3x = 6, we need to add a constant term to both sides that will make the left-hand side a perfect square trinomial
First, we need to find the coefficient of the x-term, which is 3. Then we take half of this coefficient, which is 3/2, and square it, giving us 9/4.
To complete the square, we add this value to both sides of the equation:
x² + 3x + 9/4 = 6 + 9/4
The left-hand side can now be factored as a perfect square trinomial:
(x + 3/2)² = 33/4
To solve for x, we take the square root of both sides:
x + 3/2 = ±√(33/4)
x = -3/2 ± (1/2)√33
Hence , the number we need to add to both sides of the equation to complete the square is 9/4
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can someone please answer this math question
Answer:
The answer is in the picture
What is 3/4 + 1/5 equal to?
Answer:
[tex]19/20[/tex]
Step-by-step explanation:
[tex]3/4+1/5[/tex]
[tex]15/20 + 4/20[/tex]
[tex]19/20[/tex]
Answer:
[tex] = \frac{19}{20} [/tex]
Step-by-step explanation:
[tex] \frac{3}{4} + \frac{1}{5} \\ \frac{15 + 4}{20} \\ = \frac{19}{20} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Our math team had m students last year, but this year it has already n students! By what percent did the number of students grow?
Answer:
(n-m)/m * 100%
Step-by-step explanation:
The original amount is m
The new amount is n
Take the new amount and subtract the original amount
(n-m)
Divide by the original amount
(n-m)/m
Multiply by 100 %
(n-m)/m * 100%
Answer:
(n-m)/m*100
Step-by-step explanation
trust me its the answer i checked with rsm math homework and it was correct
Which table represents exponential growth?
Answer:
You haven't linked any tables?
Step-by-step explanation:
determine the slope of a line that passes through A(-4, 7) and B(6,3)
Answer:
-2/5
Step-by-step explanation:
The slope is found by
m= (y2-y1)/(x2-x1)
= (3-7)/(6 - -4)
= -4/(6+4)
- 4/(10)
= -2/5
Answer:
[tex]m=\frac{-2}{5}[/tex]
Step-by-step explanation:
Use the formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Plug in the numbers (coordinates) given, like so:
[tex]m=\frac{3-7}{6+4}[/tex]
[tex]m=\frac{-4}{10}[/tex]
Simplify:
[tex]m=\frac{-2}{5}[/tex]
La base de una cartulina rectangular mide 8 cm de altura si le recortamos 3 cm a su altura el area de la nueva cartulina seria 126 cm calcula las dimenciones de la cartulina inicial
Answer:
[tex]w=8cm\\h=18.75cm[/tex]
Step-by-step explanation:
Let:
[tex]w=Width\\h=Initial\hspace{3}height\\h_m=Modified\hspace{3}height\\\\Where:\\\\h_m=h-3[/tex]
The area of the cardboard can be calculated using the formula to find the area of a rectangle:
[tex]A=w*h[/tex]
The area of the new cardboard would be:
[tex]A=w*h_m\\\\Where:\\\\w=8\\h_m=h-3\\A=126[/tex]
So:
[tex]126=8*(h-3)\\\\126=8h-24[/tex]
Solving for h:
[tex]126+24=8h\\\\150=8h\\\\h=\frac{150}{8} =\frac{75}{4} =18.75cm[/tex]
Therefore, the dimensions of the initial cardboard are:
[tex]w=8cm\\h=18.75cm[/tex]
Translation:
Sea:
[tex]w=Ancho\\h=Altura\hspace{3}inicial\\h_m=Altura\hspace{3}modificada\\\\Donde:\\\\h_m=h-3[/tex]
El área de la cartulina se puede calcular usando la fórmula para encontrar el área de un rectángulo:
[tex]A=w*h[/tex]
El área de la nueva cartulina sería:
[tex]A=w*h_m\\\\Donde:\\\\w=8\\h_m=h-3\\A=126[/tex]
Entonces:
[tex]126=8*(h-3)\\\\126=8h-24[/tex]
Resolviendo para h:
[tex]126+24=8h\\\\150=8h\\\\h=\frac{150}{8} =\frac{75}{4} =18.75cm[/tex]
Por lo tanto, las dimensiones de la cartulina inicial son:
[tex]w=8cm\\h=18.75cm[/tex]
In a random survey of 226 college students, 20% reported being "only" children (no siblings). The standard deviation is 2%.
Determine the confidence interval that is likely to contain the percent of all students nationwide who are only children.
Answer:
The confidence interval that is likely to contain the percent of all students nationwide who are only children is (0.1505,0.2554)
Step-by-step explanation:
Total number of students = n = 226
We are given that 20% reported being "only" children (no siblings).
Number of students being "only" children (no siblings) [tex]= 20\% \times 226=\frac{20}{100} \times 226=45.6\sim46[/tex]
So, x = 46
[tex]p=\frac{x}{n}=\frac{46}{226}=0.203[/tex]
Z at 95% is 1.96
Formula for confidence interval for sample proportion :
[tex]CI=p \pm Z \times \sqrt{\frac{p(1-p)}{n}}[/tex]
Substitute the values in the formula :
[tex]CI=0.203 \pm 1.96 \times \sqrt{\frac{0.203(1-0.203)}{226}}\\CI=(0.1505,0.2554)[/tex]
Hence the confidence interval that is likely to contain the percent of all students nationwide who are only children is (0.1505,0.2554)
Point A is the midpoint of side XZ and point B is the
midpoint of side YZ.
What is AX?
2 units
4 units
6 units
5x - 7
O 8 units
2x-2
X+1
B
A
Markandeur
Save and Exit
Et
Answer:
Option (2)
Step-by-step explanation:
Given question is incomplete; here is the complete question.
Point A is the midpoint of side XZ and point B is the midpoint of side YZ.
Triangle XYZ is cut by line segment AB. Point A is the midpoint of side XZ and point B is the midpoint of side YZ. The length of XY is (5x - 7), the length of AB is (x + 1), and the lengths of XA and ZA are (2x - 2). The lengths of YB and BZ are congruent.
What is AX ?
2 units
4 units
6 units
8 units
From the figure attached,
XYZ is a triangle having A and B as the midpoints of the sides XZ and YZ.
By the theorem of midpoints,
AB = [tex]\frac{1}{2}\text{(XY)}[/tex]
Since AB = (x + 1) and XY = (5x - 7)
(x + 1) = [tex]\frac{1}{2}(5x-7)[/tex]
2x + 2 = 5x - 7
5x - 2x = 2 + 7
3x = 9
x = 3
Therefore, side AB = 3 + 1 = 4 units
Side XY = (5x - 7)
= 15 - 7
= 8 units
Side XA = 2(x - 1)
= 4 units
Therefore, Option (2) will be the answer.
Write the polynomial in standard form.
- 4 + 3x - 522
Answer:
3x-526
Step-by-step explanation:
the 3x would go in the beginning. then you subtract (-4-522)= -526.
You are studying for your final exam of the semester. Up to this point, you received 3 exam scores of 81%, 62%, and 94%. To receive a grade of B in the class, you must have an average exam score between 80% and 89% for all 4 exams including the final. Find the widest range of scores that you can get on the final exam to receive a grade of B in the class. [80,81] [76,100] [83,100]
Can someone help me with this please and don’t guess I really need help
Answer:
it should be (5,4)
Step-by-step explanation:
♊♊♊
Answer:
A would be reflected across to (5,-4), so, the bottom answer.
Step-by-step explanation:
For reflections across an axis, all I really do is count how many units a point is from the axis you are reflecting across, and then count the many on the other side of the axis. On this problem, A was 4 units above the x-axis, and 5 from the y-axis. I just counted 8 units down, or, 4 units down from the x-axis, and since I didn't change where my point was on the y-axis, it landed on the point (5,-4).
Factor the given quadratic function x2 + 9x = 36.
Answer:
(x + 12)(x - 3)
Step-by-step explanation:
[tex] {x}^{2} + 9x = 36 \\ {x}^{2} + 9x - 36 = 0 \\ {x}^{2} + 12x - 3x - 36 = 0 \\ x(x + 12) - 3(x + 12) = 0 \\ (x + 12)(x - 3) = 0[/tex]
What’s the error mica make?
Step-by-step explanation:
She should have added 2 to the 3, not 1 because on the right side, she added 1, but that was being multiplied by 2 so to balance the equation she should add 2 to the 3. Hope this helps!
Guillermo is a professional deep water free diver. His altitude (in meters relative to sea level), xxx seconds after diving, is modeled by g(x)=\dfrac{1}{20}x(x-100)g(x)= 20 1 x(x−100)g, left parenthesis, x, right parenthesis, equals, start fraction, 1, divided by, 20, end fraction, x, left parenthesis, x, minus, 100, right parenthesis How many seconds after diving will Guillermo reach his lowest altitude?
Answer: 140
Step-by-step explanation:
Answer: 50
Step-by-step explanation:
Khan academy answer
can i get help please?? Earth has a diameter of approximately 8,000 miles. If the circumference of a circle can be found using the formula C = πd, what is the circumference of Earth? (Use 3.14 for π) A. 2,512,000 miles B. 25,120 miles C. 1,256,000 miles D. 12,560 miles
Answer:
B
Step-by-step explanation:
Circumference is 3.14*d
Where d is the diameter.
3.14*8000
= 25120
The Earth has a circumference of 25120 miles approximately.
Answer:
B. 25,120 miles.
Step-by-step explanation:
Circumference = π * diameter
= 3.14 * 8000
= 25,120 miles.
The perimeter of a rectangle is 16 inches. The equation that represents the perimeter of the rectangle is 2 l plus 2 w equals 16, where l represents the length of the rectangle and w represents the width of the rectangle. Which value is possible for the length of the rectangle? 7 in. 8 in. 9 in. 10 in.
Answer:
7 in.
Step-by-step explanation:
When 7 in. is used this is what happens
2(7) + 2(w) = 16 in.
14 + 2w = 16 in.
Because the 7 in. option leaves room for the value of the width unlike the others.
Answer: 7 inches
Step-by-step explanation:
I took the test on this and scored 100%
1. Write the following in decimal form and say what kind of decimal expansione Suppose we want to
N.
non-terminating non-recurring lyi
many such numbers.
An example of such a number is 0.150150015000150000...
the previous section, yo
I number has a decimal
to represent it on the n
EXERCISE 1.3
1
nber line. We know t
13.
not
given
36
(iii) 4
11
8
So, let us look close
2
3
329
(vi)
mber line between 2 a
13
11
400
enam
s into 10 equal parts
2. You know that = = 0.142857. Can you predict what the decimal expansions of
rision as in Fig. 1.11 (
4 5 6
7'; right of 2 will repres
are, without actually doing the long division? If so, how?
ficulty in observing th
clear view of the san
Hint. Stuurth
It will
2
ond
Answer: ...
Step-by-step explanation:
A person invests 6500 dollars in a bank. The bank pays 7% interest compounded
quarterly. To the nearest tenth of a year, how long must the person leave the money
in the bank until it reaches 20100 dollars?
A= P(1 + -]nt
Answer:
t=16.2 years
Step-by-step explanation:
A=p(1+r/n)^nt
A=$20100
P=$6500
r=7%=0.07
n=4
t=?
t=ln(A/P)/n {ln(1+r/n)}
=ln(20100/6500) / 4{ln(1+0.07/4)}
=ln(3.0923)/4{ln(1+0.0175)}
=ln(3.0923)/4{ln(1.0175)}
=1.1289/4(0.0174)
=1.1289/0.0696
=16.23
To the nearest tenth
t=16.2 years
Need help what’s the solution for b^2-14b=0
Answer:
b = 0 b = 14
Step-by-step explanation:
b^2-14b=0
Factor out a b
b(b-14) = 0
Using the zero product property
b =0 b-14=0
b = 0 b = 14
Find the perimeter of a triangle with side lengths of
√80
√20, and √45
Which of the sequences is an arithmetic sequence?
I need help!!!!
the answer is (A) is arithmetic
Solve and graph. Thank you so much!
Answer:
Step-by-step explanation:
6 + x/2 >= -4
x/2 >= -10
x >= -20
solution is b
.the difference of thirteen and six, multiplied by a number
Step-by-step explanation:
If n represents the number, then you get;
n(13-6) or n(7) or n * 7