£4500 is shared between 4 charities.
the donation to charity b is 5/6 of the donation to charity d
charity d's donation is twice the donation to charity c.
the ratio of donations for charity c to charity a is 3:4.
work out the donation to charity b.
Answers
If the donation to charity b is 5/6 of the donation to charity d, charity d's donation is twice the donation to charity c and the ratio of donations for charity c to charity a is 3:4 then the donation to charity b is £1250.
Let's denote the donation to charity a as x. Then the donation to charity c is (3/4)x, and the donation to charity d is 2(3/4)x = (3/2)x.
We know that the donation to charity b is 5/6 of the donation to charity d, so:
donation to charity b = (5/6)(3/2)x = (5/4)x
We also know that the total donation is £4500, so we can set up an equation:
x + (3/4)x + (3/2)x + (5/4)x = £4500
Multiplying through by 4 to get rid of the fractions, we have:
4x + 3x + 6x + 5x = £18,000
18x = £18,000
x = £1000
So the donation to charity b is: (5/4)x = (5/4)(£1000) = £1250
Therefore, the donation to charity b is £1250.
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Related Questions
In a basement renovation, the contractor
measured the length of a wall in a square
room as 18 ft. 4 in. The width of the
doorway is 3 ft. The contractor plans to place
wood trim along the bottom of each wall.
The trim costs $1.69/ft. What is the cost of
the trim for the room, before taxes?
Answers
For the sake of convenience, I’m converting everything to inches then back to ft. 18ft 4in is = to 220 inches. 3 ft is = to 36 inches.
3 of the walls will remain 220 inches, but one will have 36 inches taken off because of the gap in the doorway. Therefore you would add 220+220+220+(220-36). This ends up being 220+220+220+184.
This is equal to 844 inches. 844 inches is 70.333 feet.
To find out how much the trim costs, we’d multiply 1.69x70.333, which is $118.86.
hlep plz i need your help brainly
Answers
Answer:
2 cm and 7 cm
Step-by-step explanation:
6/3 and 21/3 = 2 and 7
The daily dinner bills in a local restaurant are normally distributed with a mean of $30 and a standard deviation of $5.
What is the probability that a randomly selected bill will be at least $39.10?
a. 0.9678
b. 0.0322
c. 0.9656
d. 0.0344
Answers
The probability of a randomly selected bill being at least $39.10 is approximately option (d) 0.0344
To solve this problem, we need to standardize the given value using the standard normal distribution formula
z = (x - mu) / sigma
where:
x = $39.10 (the given value)
mu = $30 (the mean)
sigma = $5 (the standard deviation)
z = (39.10 - 30) / 5
z = 1.82
Now, we need to find the probability of a randomly selected bill being at least $39.10, which is equivalent to finding the area under the standard normal distribution curve to the right of z = 1.82.
Using a standard normal distribution table or calculator, we can find that the probability of a randomly selected bill being at least $39.10 is approximately 0.0344.
Therefore, the correct option is (d) 0.0344.
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What is the slope of y = -4?
Answers
Answer:
-4 is the slope
Step-by-step explanation:
equation is y=mx + b
m = slope
b= y intercept
please help!!
select all expressions that are equal to 3•3•3•3•3
Answers
B and C are correct
Answer:
B and C
Step-by-step explanation:
3*3*3*3*3 is the same as 3 to the 5th power since there are 5 threes. And then if you put 3 to the 4th power multiplied by 3 into a calculator, you'll get the same answer.
2.A line goes through the points (4, 8) and (-4, 6). (a)What is the slope of the line? Show your work(b)Write the equation of the line in point-slope form. Show your work(c)Write the equation of the line in slope-intercept form. Show your work.
Answers
The line passing through two points that are
\((x_1,y_1_{})=(4,8),\text{ }(x_2,y_2)=(-4,6)\)Part (a)
The formula for the slope of a line is given below
\(m=\frac{y_2-y_1}{x_2-x_1}=\frac{6-8}{-4-4}=\frac{-2}{-8}=\frac{1}{4}\)Therefore, the slope of the line is 1/4.
Part (b)
The point-slope form of a line given by the formula
\(y-y_1=m(x-x_1)\)Substitute the values and find the equation of the line as follows
\(y-4=\frac{1}{4}(x-8)\)Part (c)
The slope-intercept form of a line has the general form of
\(y=mx+c\)Now, manipulate the equation in part (b) to convert it into the above form as follows
\(\begin{gathered} y-4=\frac{1}{4}(x-8) \\ \Rightarrow4y-16=x-8 \\ \Rightarrow4y=x+8 \\ \Rightarrow y=\frac{1}{4}x+2 \end{gathered}\)Somebody please help me with this math question and I’ll give you 26 points please if you are going to submit links do not answer me thank you
Answers
4000*.05=200
200*3=600
giving 100 points and 4 brainlist if right
Answers
Answer:
x = -2
Step-by-step explanation:
Step 1: Define
q(x) = 1/2x - 3
q(x) = -4
Step 2: Substitute and Evaluate
-4 = 1/2x - 3
-1 = 1/2x
-2 = x
x = -2
Step 3: Check
q(-2) = 1/2(-2) - 3
q(-2) = -1 - 3
q(-2) = -4
7.
Which kind of function best models the data in the table? Graph the data and write an equation to model the data.
A. exponential; y = 3x – 1
B. linear; y = x – 1
C. quadratic; y = x2 – 1
D. linear; y = –x – 1
Answers
Answer:
D. linear; y = –x – 1
Step-by-step explanation:
Linear; y=-x - 1
The slope is negative since it’s decreasing. So it’s not the first equation. It’s not a quadratic equation because there is no forming U shape for this data. It’s not a exponential function because the slope is not 3 and a exponential function is in the form y=a(b)^x
...............................................................................................................................................
Answer:
The correct answer is D) linear; y = –x – 1
Step-by-step explanation:
To find this, use any values in the table and it will produce a true statement. This is how we check to see if a model is correct. See the two examples below for proof.
(4, 5)
y = -x - 1
-5 = -4 - 1
- 5 = -5 (TRUE)
(0, -1)
y = -x - 1
-1 = 0 - 1
-1 = -1 (TRUE)
Solve each equation. 4t = 48
Answers
(-9) / *fill the blank* = 5
Answers
Answer:-1.8
Step-by-step explanation:
2 If x and y vary directly and y=32 when x=18, then which of the following equations correctly represents
the algebraic relationship between x and y?
(A)y=16/9x
(B)y=x+14
(C) x+y=50
(D)y=9/16x
Answers
The equation would be y = 16/9x which represents the algebraic relationship between x and y which is the correct answer would be an option (A).
What is the equation?The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.
Given that x and y vary directly and y = 32 when x = 18
Direct variation equation can be written as:
y = kx where "k" is a constant.
Substitute the values of y = 32 and x = 18 in the direct variation equation and solve for k:
⇒ 32 = k(18)
⇒ k = 32/18
⇒ k = 16/9
The direct variation equation :
⇒ y = 16/9x
Therefore, the equation would be y = 16/9x which represents the algebraic relationship between x and y.
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A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation. x + y = 24 3x + 5y = 100 What does the solution of this system indicate about the questions on the test? The test contains 4 three-point questions and 20 five-point questions. The test contains 10 three-point questions and 14 five-point questions. The test contains 14 three-point questions and 10 five-point questions. The test contains 20 three-point questions and 8 five-point questions.
Answers
Answer:
The test has 10 3-point questions and 14 5-point questions.
Step-by-step explanation:
x + y = 24
3x + 5y = 100
From the first equation:
3x + 3y = 72
Subtracting:
3x - 3x + 5y - 3y = 100 -72
2y = 28
so y = 14
x + 14 = 24 so x = 10.
10*3 + 5*14
= 30 + 70 = 100 points.
A tropical forest survey conducted by Conservation International included the following statements in the material that accompanied the survey: "A massive change is burning its way through the earth’s environment." "The band of tropical forests that encircle the earth is being cut and burned to the ground at an alarming rate." "Never in history has mankind in flicted such sweeping changes on our planet as the clearing of rain forest taking place right now!" The survey that followed included the questions given in Parts (a)– (d) below. For each of these questions, identify a word or phrase that might affect the response and possibly bias the results of any analysis of the responses. a. "Did you know that the world’s tropical forests are being destroyed at the rate of 80 acres per minute?" b. "Considering what you know about vanishing tropical forests, how would you rate the problem?" c. "Do you think we have an obligation to prevent the man-made extinction of animal and plant species?" d. "Based on what you know now, do you think there is a link between the destruction of tropical forests and changes in the earth’s atmosphere?"
Answers
Researchers must carefully consider their choice of words to avoid bias and ensure a more accurate representation of the responses.
a. The wordings of the questions contain the word "destroyed" and "80 acres per minute," which could cause the respondent to exaggerate the severity of the issue. Therefore, they may respond with strong negative reactions.
b. The question contains the phrase "vanishing tropical forests," which could cause the respondent to exaggerate the severity of the issue. Therefore, they may respond with strong negative reactions.
c. The question is loaded with the phrase "man-made extinction of animal and plant species," hence, the respondents could lean more towards the idea of the need to prevent it. The question is likely to elicit responses directed toward prevention and preservation.
d. The question contains the phrase "changes in the earth’s atmosphere," which suggests a link between the destruction of tropical forests and changes in the earth’s atmosphere. The question is likely to elicit responses that lean towards agreeing with the statement made in the question.
Therefore, researchers must carefully consider their choice of words to avoid bias and ensure a more accurate representation of the responses.
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Which of the following is a quantitative variable?
a) the texture of a rug
b) the breed of a dog
c) the numbers of toppings on a pizza
d) the colour of a person’s hair
Answers
C is the most accurate one i guess
two groups of rats were trained to navigate a runway for food. one group earned a single food pellet, the other received three pellets. what will happen when they are both shifted to a situation in which they earn the alternative reward
Answers
When both groups are shifted to a situation in which they earn an alternative reward after being trained to navigate a runway for food, the group that received three food pellets will continue to perform the task at a high level while the group that received one food pellet will experience difficulty.
It is known that rats have a natural preference for higher rewards. As a result, the group that received three pellets will be more motivated to complete the task since they have already tasted a higher reward. Therefore, they will continue to perform at a high level in the new environment.
On the other hand, the group that received only one pellet may find it challenging to adapt to the new situation since they are now receiving a lower reward. As a result, they may struggle to complete the task, and their performance may decrease.
In conclusion, the group that received three pellets will perform better than the group that received one pellet when both groups are shifted to a situation in which they earn an alternative reward. This is because the rats have a natural preference for higher rewards.
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I need help with these
Answers
The 15 and 9 units side lengths of the parallelogram ABCD, and the 36° measure of the acute interior angle, A indicates the values of the ratios are;
1. AB:BC = 5:3
2. AB:CD = 1:1
3. m∠A : m∠C= 1 : 4
4. m∠B:m∠C = 4:1
5. AD: Perimeter ABCD = 3:16
What is a ratio?A ratio is a representation of the number of times one quantity is contained in another quantity.
The shape of the quadrilateral ABCD in the question = A parallelogram
Length of AB = 15
Length of BC = 9
Measure of angle m∠A = 36°
Therefore;
1. AB:BC = 15:9 = 5:3
2. AB ≅ CD (Opposite sides of a parallelogram are congruent)
AB = CD (Definition of congruency)
AB = 15, therefore, CD = 15 transitive property
AB:CD = 15:15 = 1:1
3. ∠A ≅ ∠C (Opposite interior angles of a parallelogram are congruent)
Therefore; m∠A = m∠C = 36°
∠A and ∠D are supplementary angles (Same side interior angles formed between parallel lines)
Therefore; ∠A + ∠D = 180°
36° + ∠D = 180°
∠D = 180° - 36° = 144°
∠D = 144°
m∠A : m∠C = 36°:144° =1:4
m∠A : m∠C = 1:4
4. ∠B = ∠D = 144° (properties of a parallelogram)
m∠B : m∠C = 144° : 36° = 4:1
5. AD ≅ BC (opposite sides of a parallelogram)
AD = BC = 9 (definition of congruency)
The perimeter of the parallelogram ABCD = AB + BC + CD + DA
Therefore;
Perimeter of parallelogram ABCD = 15 + 9 + 15 + 9 = 48
AD:Perimeter of the ABCD = 9 : 48 = 3 : 16
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3
4
Ralph has gallon of paint. He wants to store all of the
paint equally among 5 containers. How much paint, in
gallons, will Ralph store in each container?
With expectations
Answers
Answer:0.2 gallons and 1.6 pints
Step-by-step explanation:
1 gallon = 8 pint
1 gallon / 5=0.2 gallon
8 pint / 5=1.6 pint
10 players, everyone wagers 100 bucks, everyone picks 0-100, whoever picks to half the average wins the prize, what number would you pick and why?
Answers
The number we should pick near average value is 252 or 253.
In this given scenario, we have 10 players, everyone wagers 100 bucks and everyone picks 0-100. The person who picks to half the average wins the prize. To determine what number we should pick and why, let's start by solving the problem step-by-step.
Step 1: Find the average value of all picks.To find the average, we add up all the picks and divide by the number of players. We have 10 players, so: Sum of all picks = 0 + 1 + 2 + ... + 99 + 100 = 5050
Average value = (sum of all picks) / (number of players)= 5050 / 10= 505
Step 2: Half the average value. To half the average value, we divide it by 2:
Half of average = (average value) / 2= 505 / 2= 252.5
Step 3: Choose the number closest to half the average. Now that we know that the half of the average value is 252.5, we should choose the number closest to it. The person who picks the number closest to 252.5 wins the prize. If we pick a number less than 252.5, we will not win because someone who chose a number greater than 252.5 will win. If we pick a number greater than 252.5, we will not win because someone who chose a number less than 252.5 will win.So, the number we should pick is 252 or 253. Both numbers are equally close to 252.5. If we want to win, we should choose one of these numbers.
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what is the simplified form of \(\sqrt{160}\) ?
Answers
An angle exceeds three times its complement by 10°, find it.
Answers
Answer:
30° angle it might be same
help! what is the missing length?
Answers
Answer:
Hello! answer: 30
Step-by-step explanation:
32 × 30 = 960 HOPE THAT HELPS!
Your summer jobs include working for a lawn mowing service and a car wash. Last week you worked
• 22 hours mowing lawns
• 4 hours at the car wash
You are paid $10 per hour at the car wash.
What is the amount per hour you make mowing lawns if your total earnings for last week was $392?
Answers
Can anyone please help
Answers
2. 64 = 2 × 2 × 2 × 2 × 2 × 2 2 |64
√64 = √2 × 2 × 2 × 2 × 2 × 2 2 |32
√64 = 2 × 2 × 2 2 |16
√64 = 2³ 2 |8
√64 = 8 2 |4
2 |2
3. No positive square root exists for -85 as it is a negative integer. The squares of a number is always positive.
4. 114 is not a perfect square. √114 = 10.677078252
5. √16 = 4
6. √105 = 10 (nearest)
7. √81 = 9
8. √14 = 4 (nearest)
9. √8 = 3 (nearest)
This composite figure is made up of three simpler shapes. What is the area of
the figure?
2 cm
6 cm
8 cm
4 cm
10 cm
A. 94 square centimeters
B. 47 square centimeters
C. 100 square centimeters
D. 70 square centimeters
Answers
Answer:
a. 94 square centimeters
Step-by-step explanation:
Antonio draws a spuare that has 13 centimeters what the perimeter of his spuare
Answers
Answer:
52 centimeters
Step-by-step explanation:
A square has 4 sides
Side of square = 13 cm
Perimeter of square = sum of all sides of square
Perimeter of square = 4 x 13 = 52 cm
If f(x )= 3/x-3, what is (fof)(x)?
Answers
Answer:
the second option is correct.
Step-by-step explanation:
that is the solution above.
Lisa uses 2 pieces of copper wire, each 9 feet long, for
each robot she builds. If she started with a 500-yard roll
of copper wire, which of the following represents the
number of yards of wire left on the roll after 'Lisa built r
robots? (3 feet = 1 yard)
Answers
Answer:
yards of wire left on the roll = 500 - r(3)
Step-by-step explanation:
9 feet = 3 yards we need to find how much wire is left on the roll after she builds a certain amount of robots. she uses 9 feet or 3 yards per robot so we have to multiply the amount of robots (r) by 3 yards and subtract that from 500 yards or the total amount of wire she has and that gives us the total amount of wire she has left. Hope this helps.
What is the inverse of the statement?
A number that has exactly two distinct factors is prime.
If a number has exactly two distinct factors, then the number is prime.
If a number does not have exactly two distinct factors, then the number is not prime.
If a number is not prime, then the number does not have exactly two distinct factors.
If a number is prime, then the number has exactly two distinct fac
Answers
The inverse of the statement is "If a number does not have exactly two distinct factors, then the number is not prime." Thus Option 2 is the answer.
When a conditional statement is reversed, the hypothesis and conclusion are both negated. The hypothesis in the original statement is "a number with exactly two distinct factors," while the conclusion is "is prime."
To make the inverse, we negate both sections. "A number does not have exactly two distinct factors" is the antonym of "A number that has exactly two distinct factors." "Is not prime" is the opposite of "is prime."
As a result, the inverse statement is "If a number does not have exactly two distinct factors, then the number is not prime."
It's crucial to remember that a statement's inverse could or might not be accurate. In this instance, the inverse is true since the definition of a prime number is incompatible with the fact that a number has more than two components if it has more than exactly two different factors.
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PLSSS HELPPPP ASAPPP
The solid below is made from cubes.
Find its volume.
Answers
Answer:
volume = 45 yd³
Step-by-step explanation:
5 x 3 x 3 = 45 yd³
The volume of the cuboid will be 45 cubic yards.
What is the volume of the cuboid?Volume is defined as the space occupied by any object in the three-Dimensions. All three parameters are required for the volume like length, width, and height of cube or cubes.
Given that the cuboid is having small cubes of side 1 yard. The length width and height of the cuboid is 5yd, 3yd, and 3yd respectively.
The volume will be calculated as:-
Volume = L x W x H
Volume = 5 x 3 x 3
Volume = 45 yards
Therefore, the volume of the cuboid will be 45 cubic yards.
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