Answer:
[tex]Each =\pounds 1121[/tex]
Step-by-step explanation:
See comment for complete question.
Given
[tex]Total = \pounds 8968[/tex]
[tex]Projects = 8[/tex]
Required
Determine the amount allotted to each
From the question, we understand that each project gets each allocation.
So, the amount of each is:
[tex]Each =\frac{Total}{Projects}[/tex]
[tex]Each =\frac{\pounds 8968}{8}[/tex]
[tex]Each =\pounds 1121[/tex]
Each project gets £1121
Calculate the product: 48×38.
Answer:
1824
Step-by-step explanation:
48 x 38 =1824
The main height of a basketball team is 6 feet with the standard deviation of 0.2 feet. The team center is 6.9 feet tall. Find the center Z score. Is the score unusual?
Complete Question
The mean height of a basketball team is 6 feet with the standard deviation of 0.2 feet. The team center is 6.9 feet tall. Find the center Z score. Is the score unusual?
Answer:
Center Z score = 4.5
The score is unusual
Step-by-step explanation:
The mean height of a basketball team is 6 feet with the standard deviation of 0.2 feet. The team center is 6.9 feet tall. Find the center Z score. Is the score unusual?
The formula for z score is:
z = (x-μ)/σ, where
x is the raw score = 6.9feet
μ is the population mean = 6feet
σ is the population standard deviation = 0.2 feet
Hence:
Z = 6.9 - 6/0.2
Z = 0.9/0.2
Z = 4.5
Yes this score is unusual
You are building a doghouse for Fido, your loyal poodle. The blueprint of the doghouse uses a scale of 1 : 14. The floor of the doghouse measures 2" x 2.5" on the blueprint.
Answer:
28" x 35"
Step-by-step explanation:
Based on the ratio we see that for every 1 inch in the blueprint there are a total of 14 inches in the real-life model of the doghouse. Therefore, in order to find the actual dimensions of the real-life doghouse we simply need to multiply the individual length and width dimensions of the blueprint by 14. Since the real-life model is 14 times bigger according to the ratio.
2 * 14 = 28
2.5 * 14 = 35
Finally, we can see that the real-life doghouse has a the following dimensions 28" x 35"
Hello can someone pls help me with this!
Answer:
slope = 6x
Step-by-step explanation:
the formula to find slope between 2 points is "m = (y2 - y1)/(x2-x1)", or "m = rise/run". so when you plug in the numbers, you get "m = (12 - 6)/(2 - 1)", which gives you "m = 6/1", which is just 6x.
Answer:
Slope = 6
Step-by-step explanation:
From the graph we get:
(x1, y1) = (1, 6) and
(x2, y2) = (2, 12)
Slope = (y2 - y1) / (x2 - x1)
= (12 - 6) / (2 - 1)
= 6 / 1
= 6
Type the missing number in this sequence:
1,
,
36,
216,
1,296
Two possible plans for a new bathroom are shown. Is there a value of x for which the perimeters are equal? Show your work. Explain the reasoning.
Answer:
There is no value of x to fit this requirement.
Step-by-step explanation:
The 2 perimeters in terms of x are:
4(x + 3) for the square and
2(x+1) + 2(x +4) for the rectangle
and these need to be equal so
we equate these 2 and solve for x:
4(x + 3) = 2(x+1) + 2(x +4)
4x + 12 = 2x + 2 + 2x + 8
4x + 12 = 4x + 10
4x - 4x = 10 - 12
0 = -2 which is of course absurd so there is no solution to this equation.
Answer:
(x+3)•4=(x+4)•2+(x+1)•2
Step-by-step explanation:
4x+12=2x+8+2x+2
4x-2x-2x=-12+8+2
0=-2
this expression is indeterminate.
The measure of ∠A is 12° greater than the measure of ∠B. The two angles are complementary. Find the measure of each angle.
The m∠A is __° and m∠B is __°.
Answer:
39° = m∠A
51° = m∠B
Step-by-step explanation:
Complementary angles have a sum of their measures = 90
Let x = m∠B
then x + 12 = ∠A
m∠A + m∠B = 90
x + 12 + x = 90
2x + 12 = 90
2x = 78
x = 39° = m∠A
x + 12 = 39 + 12 = 51° = m∠B
The measure of ∠A is 39°.
The measure of ∠B is 51°.
Here,
The measure of ∠A is 12° greater than the measure of ∠B.
The two angles are complementary.
We have to find the measure of each angle.
What is Complementary angle?
Complementary angles have a sum of their measures is 90°.
Now,
The measure of ∠A is 12° greater than the measure of ∠B.
Let m∠B = x
Then, ∠A = x + 12
The two angles are complementary.
Hence,
m∠A + m∠B = 90
x + 12 + x = 90
2x + 12 = 90
2x = 78
x = 39°
And, x + 12 = 39 + 12 = 51°
Hence, The m∠A is 39° and m∠B is 51°.
Learn more about the complementary angle visit:
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Which value from the set {3, 12, 18, 27} makes true?
????????????
Answer:
The answer would be 27
Step-by-step explanation:
You need to multiply 9 to both sides. Please mark me brainliest.
Which types of dilation are the given scale factors? Select Expansion or Contraction to correctly describe the type of dilation for each given scale factor.
Answer:
Expansion
Contraction
Expansion
Contraction
Step-by-step explanation:
The correct type of dilation for given scale factors are 1) contraction, 2) contraction, 3) expansion 4) contraction
What is dilation?Dilation is a type of transformation in geometry, in which the original figure changes its scales, either reduce or enlarge.
Given are scale factors,
Scale factor symbolized by k,
We know that, when k > 1, the figure expands or enlarge.
When k < 1, the figure reduces or contract.
And when k = 1, the figure is congruent to the dilation.
1) -5 = (contraction)
1 > -5, therefore, figure is contraction.
2) -1/4 = (contraction)
1 > -1/4, therefore, figure is contraction.
3) 3.5 = (expanding)
1 < 3.5, therefore, figure is expanding.
4) 6/7 = (contraction)
6/7 = 0.8571 < 1, therefore, figure is (contraction)
Hence, -5 = (contraction), -1/4 = (contraction), 3.5 = (expanding) and 6/7 = (contraction)
For more references on dilation, click;
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Aiden has two toy cars that measure two and one fourth inches, three that measure two three eight inches, one that measures two and seven eights inches, one that measures 2 and one eights inches, and one that measures two and three fourths inches. How long is aidens longest toy car.
Answer:
So, the longest toy car length is [tex]2\frac{7}{8}inches[/tex]
Step-by-step explanation:
Given - Aiden has two toy cars that measure two and one fourth inches,
three that measure two three eight inches, one that measures two
and seven eights inches, one that measures 2 and one eights
inches, and one that measures two and three fourths inches.
To find - How long is Aiden's longest toy car.
Proof -
Measure of 1st car - 2 inches
Measure of 2nd car - [tex]\frac{1}{4} inches[/tex] = 0.25 inches
Measure of 3rd car - [tex]2\frac{3}{8} inches[/tex] = 2.375 inches
Measure of 4th car - [tex]2\frac{7}{8}inches[/tex] = 2.875 inches
Measure of 5th car - [tex]2\frac{1}{8}inches[/tex] = 2.125 inches
Measure of 6th car - [tex]2\frac{3}{4}inches[/tex] = 2.75 inches
So, the longest toy car length is [tex]2\frac{7}{8}inches[/tex] (2.875 inches )
PLEASE HELP ITS REALLY EASY PLS IM DESPERATE AHHHH PSLPLSPLS
SOMEONE PLEASE HELP ME WITH THIS QUESTION, AND PLEASE SHOW WORK. ASAP
Answer:
52cm
Step-by-step explanation:
6^2 = 36
4^2 = 16
16+36= 52
please help quickly!! thanks!! :))
When the angle of elevation to the sun is 52", a tree casts a shadow that is 13 feet long. What is
the height of the tree? Round to the nearest tenth.
Answer:
72
Step-by-step explanation:
Answer:
x=10.156713
Step-by-step explanation:
tan(52)=13/x
x^2-4x+3=0 determine the nature of the roots
x^2 - 4x + 3 = 0
Factor the left side.
What two numbers when multiplied yield 3 but when added yield the middle coefficient -4?
How about -1 times -3?
Yes, (-1)(-3) is 3 but when added yield -4.
(x - 3)(x - 1) = 0
Set each factor to 0 and solve for x.
x - 3 = 0
x = 3
x - 1 = 0
x = 1
The word root is just another word for solution or the zero of a polynomial.
Answer: x = 1 or x = 3 are the roots.
Quadrilateral FGHI is dilated by a scale factor of to form quadrilateral F'G'H'I.
What is the measure of side I'F'?
H
62.6
I
56
28
56
Answer:
I’F’ = 21
Step-by-step explanation:
To find the length of I’F’
We perform the dilation on IF using the given dilation factor
All we have to do here is to multiply the length of IF by the dilation factor
We have this as ;
28 * 3/4 = 21
What is the average rate of change over the interval 1≤x≤3
9514 1404 393
Answer:
3
Step-by-step explanation:
The average rate of change is the slope of the line between the points at the ends of the interval: (1, -2) and (3, 4). That is given by the slope formula ...
m = (y2 -y1)/(x2 -x1)
m = (4 -(-2))/(3 -1) = 6/2
m = 3
The average rate of change on the interval is 3.
Which group of numbers is listed from greatest to least? -3, -4, -7, -8, -9 9, 7, 6, -5, -4 8, -6, 5, -4, 1 -3, -1, 0, 2, 7
HELPPPPPPP!!!!!! i need this today
Answer:
(d) 78√3
hope it is right answer for it !!
Which of the following systems of linear equations has no solution?
Answer:
3rd choice
Step-by-step explanation:
The answer is the 3rd choice.
x cannot be 3 and 5 at the same time.
x = 3
x = 5
Subtract the first equation from the second equation.
x - x = 5 - 3
0 = 2
Since 0 = 2 is a false statement, there is no solution.
Answer: 3rd choice
Select all the values that are equivalent to -(7/8)
Answer:
last option
the correct answer is
- (- 7 / - 8)
A square has a diagonal length of 13m what is the side length of the square round to the nearest centimeter?
Answer:
a≈9.19m
Step-by-step explanation:
Write the expression as a power of 3
Help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help
Answer:
14. Answer : 3² . 3³ . 3¹ . 3⁴
Answer:
14. Answer : 3² . 3³ . 3¹ . 3⁴
Step-by-step explanation:
because I just know
1x+2x+3x=180 find the measure of each angles.
Answer:
x=30 is the answer no hate if I'm wrong :)
Step-by-step explanation:
The sum of angles in a triangle is 180 so we add them all and we get x=30.
Then find the measure of each angle by substitution.
Please help me thanks
Answer:
2
Step-by-step explanation:
In a game, the player wins if he rolls a 4 on a number cube (six sides). If the number cube is rolled 24 times, then what is a reasonable prediction for the number of times a 4 will be rolled?
Answer:
6
Step-by-step explanation:
ℎ 4 6
[tex]24 \div 4 = 6[/tex]
30=-6x+6
Solve the equation
Answer:
-4
Step-by-step explanation:
24 = -6x
-4 = x
............
Answer:
x = -4
Step-by-step explanation:
30 = - 6x + 6
- 6x = 30 - 6
- 6x = 24
- x = 24 / 6
- x = 4
x = - 4
Explore equivalent ratios by using the slider. Complete the sentences below. For every __ apples, there are 6 oranges.
Answer:
For every 2 apples, there are 6 oranges
Step-by-step explanation:
I got it on khan so trust me
(P. S. could u give me brainliest?)
Helpppp meeee please☹️
it's B because the input is put together in only one output.
Answer:
B
Step-by-step explanation:
A function's x should not repeat, but the y can !
Input=x
Output=y
Expressed in simplest radical form, the product of √6 and √15 is