The percentage reduction in Caroline's earnings if she decides to go ahead with her plan is 30%.
How to calculate the value?Since Caroline works 8 hours each day for 5 days a week and she's earns £11 per hour. The amount earned for the week is:
= (80 × 5 × £11)
= £440
When she is planning on reducing her working schedule and only work 7 hours each day for 4 days a week. The amount will be:
= (4 × 7 × £11)
= £308
The percentage reduction will be:
= Difference on amount / Old amount × 100
= (440 - 308) /440 × 100
= 132/440 × 100
= 0.3
= 30%
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Caroline works 8 hours each day for 5 days a week. She's earns £11 per hour. Caroline is planning on reducing her working schedule and only work 7 hours each day for 4 days a week work out the percentage reduction in Caroline's earnings if she decides to go ahead with her plan
Isaac and Albert spot a hot air balloon flying at a low altitude. They decide to calculate its height by standing 400 feet apart on a level surface and measuring the angle of elevation to the balloon. From
Albert, the balloon was at an angle of elevation of 62°and from Issac its was 48º. Determine the height of
the balloon above the ground to the nearest foot.
Answer:
144 feet to nearest foot.
Step-by-step explanation:
Let the distance between Albert and the point on the ground that the balloon is directly above be x feet Then for Isaac the distance is 400 - x feet
So we have 2 right angled triangles and:
tan 62 = h/x
tan 48 = h / (400- x) where h is the height of the balloon.
From the first equation x = h / tan 62 so plugging this into the second one:
tan 48 = h / ( 400 - h/tan 62)
h = 400 tan 48 - h tan 48 tan 62
h + h tan 48 tan 62 = 400 tan 48
h ( 1 + tan48 tan62) = 400 tan48
h = 400 tan 48 / (1 + tan 48 tan 62)
= 143.8 feet.
Find x of the angles are supplementary 3x-2 and 41 degrees ?
Answer:
x = 47
Step-by-step explanation:
3x - 2 + 41 = 180 {Supplementary}
3x + 39 = 180
3x = 180 - 39
3x = 141
x = 141/3
x = 47
At Putt Putt, they offer a special for unlimited mini golf. You decide to go golfing with your friends. After golfing and purchasing lots of food, you end up spending $50. In total you leave Putt Putt with $5. Let s represent the amount of money you started with.
Part 1: Write an equation involving s
Part 2: Solve for how much money you brought to Putt Putt.
Answer:
part 1: a-50=5. a=55
Step-by-step explanation:
because fifty five minus 50 is equal to 5
determine the missing angle
Answer:
46°
Step-by-step explanation:
These angles are same-side supplementary, therefore they add up to 180°.
180 - 134 = 46°.
if socks cost $8.97 for 3 pairs how much does one pair cost?
Answer:
7
Step-by-step explanation:
Answer:
$2.99
Step-by-step explanation:
$8.97/3 = 2.99
$8.97 divided by 3 equals $2.99
Good Luck!
Find the value of x that makes m ∥ n 2x x
Answer:
Step-by-step explanation:
m/n = 2x/2
but what is the equation u didnt mentiones though
PLEASE HELP!!!! ANSWER FAST
Step-by-step explanation:
[tex] {d}^{2} = {5}^{2} + {5}^{2} \\ {d}^{2} = 50 \\ d = 5 \sqrt{2} \\ [/tex]
[tex] \tan(60) = \frac{4}{c} \\ c = \frac{4}{ \tan(60) } = 2.3[/tex]
Rewrite the following expression using exponents
1/16
Answer:
6.25 * 10^-2
Step-by-step explanation:
hmmmmmmmmm
(04.05)
Which of the following is true about a function that is constant? (4 points)
HELP PLEASE
Answer:
A. it is a horizontal line
Step-by-step explanation:
Use your scratch paper to draw a coordinate plane and plot the following data set: (4,3), (1,2), (9.1), (10,2), (9,10), (1,7),(5,0), and (6,1),
What type of association exists between the data points?
Answer:
3,)ft
Step-by-step explanationpads: 1 7(.9t
Find the volume of the composite solid. Round your
answer to the nearest tenth.
8 cm
8 cm
8 cm
14
The volume is about
cubic centimeters.
Answer:
this image is unclear i cant answewr this
Step-by-step explanation:
Is this line an accurate line estimate of
best fit for the data?
Yes
No
Answer:
no.........................
what is the y intercept of 2y - 2x = 8
Answer:
Step-by-step explanation:
Write in y = mx + b form
here, b ----> y intercept
2y - 2x = 8
2y = 2x + 8 {Divide the equation by 2}
[tex]\frac{2y}{2}=\frac{2x}{2}+\frac{8}{2}\\[/tex]
y = x + 4
y-intercept = 4
Which of the following is a perfect square?
A.) 115
B.) 169
C.) 154
D.) 279
Answer:
B (169)
Step-by-step explanation:
In the isosceles triangle ABC
AB=AC
angle B = (3x 32)º
angle C =(87-2x)"
Work out the value
of x.
Answer:
x = 4.5
Step-by-step explanation:
Angle B = angle C because it is an isosceles triangle.
3x32 = 87-2x
96 = 87-2x
reduce:
9 = 2x
x = 4.5
An isosceles triangle is one with two equal-length sides. The value of x is 11.
What is an isosceles triangle?An isosceles triangle is one with two equal-length sides. It is sometimes stated as having exactly two equal-length sides, and sometimes as having at least two equal-length sides, with the latter form containing the equilateral triangle as a particular case.
Since in an isosceles triangle, the angle made by the equal sides and the base are equal, therefore, we can write,
∠B = ∠C
3x + 32 = 87 - 2x
3x + 2x = 87 - 32
5x = 55
x = 11
Hence, the value of x is 11.
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2^2 x 3^4 x 2^5/ 9 x 4^2
Answer:
Please refer to the attachment
Hope it helps
Please mark me as the brainliest
Thank you
Solve the equation and enter the value of x below.
X +
+(-8) = 2
X =
Answer:
x = 10.
Step-by-step explanation:
x + (-8) = 2.
First, isolate x by adding 8 to both sides.
x = 8 + 2.
Next, solve.
x = 10.
Finally, you can come to the conclusion that x = 10. Always plug in your answer to make sure it works.
10 - 8 = 2.
2 = 2.
A pair of shoes is on sale for 30% off. The original price is p. Which expression can be used to find the price of the shoes after the discount? 0.30p 0.70p 1.30p 30p
Answer:
0.30p
Step-by-step explanation:
(px30)/100=0.3p
Answer:
0.70 p
Step-by-step explanation:
If the item is 30% off, the new price is 0.7p because we want to know how much 70% of the original price was.
1/2x+4=20 solve for x.. Help?
Answer: 32
Step-by-step explanation: ok so here is what i do for those I grab a caculator (desmos online caculator i like to use but not required) then ill do (1/2×x)+4 but then once i write that i go back to the x delete the x and keep putting random numbers in higher and higher by one till the i get the answer (example: for this one i wrote that than i removed the x in it and did 1/2×5+4 then when that did not equal 20 i turned the 5 into a 6 then 6 was wrong so 7, then 8, then i just skipped to 20 then 20 was still wrong so skipped to 30, 30 was also wrong but CLOSE so then i tried 31 then 32 till the answer was 20 and when i did 32 it did say 20) hopes this helps
Answer: x=32
Step-by-step explanation:
1/2x+4=20
-4 -4
1/2x=16
Multiply by 1/2 on each side
x=32
Please answer!!! I’ll make brainliest
Answer:
x = 6
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
let the third side be x , then
x² + 8² = 10²
x² + 64 = 100 ( subtract 64 from both sides )
x² = 36 ( take the square root of both sides )
x = [tex]\sqrt{36}[/tex] = 6
Answer:
6
Step-by-step explanation
Ordered triples only apply to right triangles
3,4,5 is an ordered triple
multiply (3,4,5) by 2 and you get (6,8,10)
the 2 other side lengths are 8 and the hypotenuse is 10 then the other side length is 6.
-------------------
That is just a way to do it quickly and it does not always apply.
the formula for Pythagorean and theorem is a^2+b^2=c^2
a=leg of the triangle
b=other leg of teh triangle
c=hypotenuse(longest leg)
as we can see here 10 is the longest so it is the hypotenuse.
So then we can assume that 8 is a leg of the triangle
so we insert that into the equation
a^2+8^2=10^2
subtract 8^2 from both sides
a^2=10^2-8^2
a^2=100-64
a^2=36
square root both sides
a=√(36)
a=6
Hope that helps :)
Find the volume of the prism.
5 ft
3 ft
5 ft
4 ft
Answer:
you have to show the prism
Find the value of that makes DEF~XYZ
Answer:
DEF~XYZ
xz/DF=xy/de in similar triangle side are proportional
3x/7=7.5/5
3x=7.5/5 ×1/7=7.5/35
Which is a set of collinear points?
Two lines intersect at point H. One line goes through points L and J. The other line goes through points G, I, and K.
A. G, H, I
B. L, H, I
C. G, H, J
D. G, I, J
Answer:
Step-by-step explanation:
Abcd
Find the range of each function for the given domain-
Answer:
42
90
Step-by-step explanation:
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Need help with this question
Answer:
C. x = 3
Step-by-step explanation:
8x - 8 = 2x + 10
get the x on it's own
8x - 8 + 8 = 8x
2x + 10 + 8 = 2x + 18
8x = 2x + 18
8x - 2x = 6x
2x + 18 - 2x = 18
6x = 18
now divide each side by 6
6x / 6 = x
18 / 6 = 3
x = 3
X=3
Explanation
8x-8=2x+10
6x=18
x=3
1). There are 25 students in grade 7. 15 are boys and others are girls. A
student is selected for a field trip at random.
A) Find the probability of selecting a boy
B) Find the probability of selecting a girl|
Answer: 1) 15:25 or 15/25 2) 10:25 or 10/25
Step-by-step explanation: if there are 25 students total and there are 15 boys that means the rest are girls so 25-15 is 10 girls. So the ratio for selecting a boy would be 15:25 or 15/25 and the ratio for selecting a girl would be 10:25 or 10/25
Hiiiiiiiiiiiiiiiiiiii take your best guess
Please can i have the correct answer this is a important test
I will mark you brainliest
I just need part B only
Answer:
thin think back to wen you were l lerning about it come on you can do it
Which expression is equivalent to 12x + 20y?
How many right angles need to be put together to make:
a.) 360 degrees?
b.) 180 degrees?
C.) 270 degrees?
d.) A straight angle?
Answer:
A 180° angle is called a straight angle. Angles such as 270 degrees which are more than 180 but less than 360 degrees are called reflex angles. A 360° angle is called a complete angle.
Answer:
A. 4
B. 2
C. 3
D. 2
Step-by-step explanation:
Multiplication!!! Always remember that a right angle is 90 degrees, also a straight angle is 180 degrees..
Remember like this:
90 x 1 =90
90 x 2 =180
90 x 3 = 270
90 x 4 = 360
AAAAAAAAAAAAAAAAA HELP