A can of orange and a chocolate bar cost £1.30 together. Two cans of orange and a chocolate bar cost £2.15 together. How much would three cans of orange and four chocolate bars cost?
Solving the system of linear equations provided, we find that the cost of a can of orange is £0.85 and a chocolate bar costs £0.45. Therefore, three cans of orange and four chocolate bars would cost £4.35.
The student's question involves solving a system of linear equations to find the individual prices of a can of orange and a chocolate bar. Once the individual prices are determined, the student wants to know the total cost of three cans of orange and four chocolate bars. Here's a step-by-step approach to solve this problem:
Let the price of a can of orange be 'O' and the price of a chocolate bar be 'C'.
The first equation from the given information would be O + C = £1.30.
The second equation would be 2O + C = £2.15.
Subtract the first equation from the second to find the price of an additional can of orange, which gives us O = £0.85.
Substitute the value of O in the first equation to find C, which yields C = £0.45.
Now, calculate the cost of three cans of orange and four chocolate bars: 3O + 4C = 3(£0.85) + 4(£0.45) = £2.55 + £1.80 = £4.35.
So, three cans of orange and four chocolate bars would cost £4.35 together.
What is the absolute value of 7.4
Write an algebraic expression for the sum of 3 coins and c coins.
Daniel is completing a home project. He needs 13 pieces of wood, each 1 1/2 feet long, to complete the project. How much wood does Daniel need to complete his home project?
8 2/3 ft
11 1/2 ft
14 1/2 ft
19 1/2 ft
Answer:
Daniel will need [tex]19\frac{1}{2}[/tex] feet wood to complete his home project.
Step-by-step explanation:
We are told that Daniel needs 13 pieces of wood, each [tex]1\frac{1}{2}[/tex] feet long, to complete his home project.
To find total amount of wood needed we will multiply number of wood pieces by length of each wooden piece.
First of all we will convert our mixed fraction to improper fraction as: [tex]1 \frac{1}{2} =\frac{3}{2}[/tex]
Now let us multiply our values.
[tex]13*\frac{3}{2} =\frac{39}{2}[/tex]
Now we will convert this improper fraction to mixed fraction to find our final answer.
[tex]\frac{39}{2}=19\frac{1}{2}[/tex]
Therefore, Daniel needs [tex]19\frac{1}{2}[/tex] feet wood to complete his home project.
solve for the variable k.
m/k=x
The equation m/k = x solved for k will be k = m / x.
What is the solution to the equation?The distribution of weights to the variables involved that establishes the equilibrium in the calculation is referred to as a result.
Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.
The equation is given below.
m/k = x
Simplify the equation for k, then we have
x = m / k
kx = m
k = m / x
The equation m/k = x solved for k will be k = m / x.
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rosa, roberto, andrea, and inno find an estamate for the square root of ten who has proposed the best solution
Rosa, use the square root of 9 and the square root of 25
Roberto, use the square root of 4 and the square root of 90
Andrea, use the square root of 11 and the square root of 12
Inno, use the square root of 9 and the square root of 16
Final answer:
Inno's solution of using the square root of 9 and 16 is the best estimate for the square root of ten, as it provides a narrower and more accurate range for the estimate.
Explanation:
To estimate a square root that is not a perfect square, one strategy is to find integers that the number falls between, and then those integers' respective square roots give us a range within which the square root of the number will fall.
Rosa and Inno's approaches are similar and most appropriate because they both use 9 and another square number that is close to 10.
Rosa uses the square roots of 9 and 25. Since the square root of 9 is 3, and the square root of 25 is 5, we know that √10 is a little more than 3, because 10 is closer to 9 than it is to 25. Inno uses the square roots of 9 and 16. Since the square root of 16 is 4, √10 is closer to 3 than 4 because 10 is closer to 9.
Therefore, Inno's solution gives a closer estimate of the square root of 10, as it falls between 3 and 4 (and closer to 3), and this is the best solution among those proposed.
Simplify the product. 8x2(4x2 + 4y6)
Answer:
32x^4+32x^2y^6
Step-by-step explanation:
The root symbol was forgotten in the provided question. It should look like this:
Simplify the product. 8x^2(4x^2 + 4y^6)
What are the earnings for:
1.) 5 days at $69.00 a day = $_____
2.) 3.5 days at $27.75 a day = $____
1. $69.00 * 5 = $345.00
2. $27.75 * 3.5 = $97.13
What is the LCD of the fractions 1/3 and 11/15
The LCD of the fractions [tex]\frac{1}{3} ,\frac{11}{15}[/tex] is 15
What is fraction?"It is a part of a whole number and a way to split up a number into equal parts."
What is LCD of the fractions?"The least common denominator (LCD) is the smallest number that can be a common denominator for a set of fractions."
For given question,
We have been given two fractions [tex]\frac{1}{3} ,\frac{11}{15}[/tex]
We need to find the least common denominator of [tex]\frac{1}{3} ,\frac{11}{15}[/tex]
The denominator of fraction [tex]\frac{1}{3}[/tex] is 3.
and the denominator of fraction [tex]\frac{11}{15}[/tex] is 15.
Multiples of 3 are 3, 6, 9, 12, 15, 18,...
Multiples of 15 are 15, 30, 45,...
The least common multiple of 3 and 15 is 15.
Therefore, the LCD of the fractions [tex]\frac{1}{3} ,\frac{11}{15}[/tex] is 15
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Expression equivalent to 45.701
give an example of two principal amounts and two periods of time for which the simple interest turned at 2.42 percent would be equal
Loudness, or the intensity of sound, is measured in decibels. The sound level of a television is about 70 decibels, which is considered a safe hearing level. A food blender runs at 20 decibels higher than a TV, and a jet engine's decibel reading is 40 less than twice that of a blender. At this level, exposure can cause hearing loss. Find the intensity of the sound of a jet engine.
Jill’s front door is 42” wide and 84” tall. She purchased a circular table that is 96 inches in diameter. Will the table fit through the front door?
There are two sizes of trucks available: larger truck with a 2.5-ton payload, and smaller trucks with 1.5-ton payload. To unload a freight train 21 larger trucks are needed . How many smaller trucks would be needed for the same job?
Answer:
35 smaller trucks.
Step-by-step explanation:
Given:
i) The larger truck with a 2.5-ton payload, and smaller trucks with 1.5-ton payload.
ii) To unload a freight train 21 larger trucks are needed .
Total load of the freight train = 21 times 2.5 tons
= 21 × 2.5
= 52.5 tons
To find the number of small trucks needed, we need to divide 52.5 by 1.5
= 52.5 ÷ 1.5
= 35 small trucks needed.
So, to unload the freight, we need 35 smaller trucks.
Dave rented a limousine for his wife's birthday. The hourly rate is $70. They used the limousine for 4 hours, plus Dave gave the driver a 20% tip. How much did he spend in total for the hourly charges plus tip? Question options: Dave gave the driver a 20% tip. How much did he spend in total for the hourly charges plus tip?
Question 2 options:
A)
$364
B)
$224
C)
$392
D)
$336
Simplify 3x + (-12x) - 5x.
Jamie has 7/10 of a pound of chicken to cook for dinner. If she is going to split the chicken beween 3 people,how much chicken will each person get?
Answer:
7/30
Step-by-step explanation:
Ten times a number increased by 4 is no more than 25, how do u write it as an inequality?
Jose is surveying shoppers about their use of the new pharmacy in a grocery store. Which of the following questions in his survey is a statistical question?
Who is the manager of the pharmacy?
Where is the pharmacy located in the store?
How many pharmacists are there in the pharmacy?
How many hours do you spend at the pharmacy each month?
Answer:
How many hours do you spend at the pharmacy each month?
Step-by-step explanation:
A statistical question is a question that will have variable answers. It will not have a single answer. Like - How tall are the students in your class?
So, here the answer is -
How many hours do you spend at the pharmacy each month?
As here, the answer can be variable. Some days it can be 8 hours, some days it can be 12 hours.
Given: F = {(0, 1), (2, 4), (4, 6), (6, 8)} and G = {(2, 5), (4, 7), (5, 8), (6, 9), (7, 5)} (F - G) (6) =
Answer:
The value of (F-G)(6) is -1.
Step-by-step explanation:
The given functions are defined as
[tex]F = \{(0, 1), (2, 4), (4, 6), (6, 8)\}[/tex]
[tex]G = \{(2, 5), (4, 7), (5, 8), (6, 9), (7, 5)\}[/tex]
We need to find the value of (F-G)(6).
Using subtraction of two function property, we get
[tex](F-G)(6)=F(6)-G(6)[/tex] .... (1)
From the given functions it is cleared that the value of function F is 8 at x=6 and the value of function G is 9 at x=6. It means
[tex]F(6)=8[/tex]
[tex]G(6)=9[/tex]
Substitute F(6)=8 and G(6)=9 in equation (1).
[tex](F-G)(6)=8-9[/tex]
[tex](F-G)(6)=-1[/tex]
Therefore the value of (F-G)(6) is -1.
half of a number (or a number divided by2)
The sum of 19.3 and a number is 30.4. Which equation can be used to solve the problem?
Answer:
YOUR CORRECT ANSWER'S (B.)Step-by-step explanation:
I TOOK THE TEST.A music store bought a CD set at a cost of $10. When the store sold the CD set, the percent markup was 30%. Find the selling price.
PLEASE EXPLAIN THXS HOOMAN
Look at image for deh question.
Factor 3/4 out of 3/4z + 6
A building is 1 ft from a 12-ft fence that surrounds the property. A worker wants to wash a window in the building 1515 ft from the ground.ground. He plans to place a ladder over the fence so it rsts against the building. (See the figure.) He decides he should place the ladder 9 ft from the fence for stability. To the nearest tenth of a foot, how long a ladder will he need?
Using the Pythagorean Theorem for the given right triangle, we calculated that the worker would need a ladder of at least 25 feet in length to reach the window.
Explanation:The problem described can be solved by using the Pythagorean Theorem, which is appropriate for any right triangle. In the given problem, we have a right triangle - one side is the distance from the fence to where the ladder touches the building (12ft + 1ft + 9ft = 22ft), the other side is the height of the window from the ground (15ft), and the hypotenuse is the length of the ladder we need to find.
According to the Pythagorean theorem: [tex]A^2 + B^2 = C^2[/tex]. If we plug in our values, it would look like [tex]15^2 + 22^2 = C^2[/tex]. After carrying out the operations, we find that C^2 = 625.
To find the length of the ladder (C), we take the square root of 625, which is 25ft. So, the worker needs a ladder that is at least 25 feet long.
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The reading speed of second grade students is approximately normal, with a mean of 88 words per minute (wpm) and a standard deviation of 12 wpm. a) What is the probability a randomly selected student will read more than 95 words per minute? b) What is the probability that a random sample of 12 second grade students results in a mean reading rate of more than 95 words per minute? c) What is the probability that a random sample of 24 second grade students results in a mean reading rate of more than 95 words per minute? d) What effect does increasing the sample size have on the probability? Provide an explanation for this result.
5x - 2y = 12 solve for y
Martin had 7 pounds of grapes left, and he gave away 2/5 of them. Explain how to use compatible numbers to estimate the amount of grapes he gave away.
Answer:
Step-by-step explanation:
The amount of grapes that he gave away is 3.5 pounds.
Number of grapes with Martin = 7 pounds
Fraction given away = 2/5
In this case, to use compatible numbers, we have to find a fraction that's close to 2/5 which will be 1/2.
Then, we have to multiply 1/2 by 7 and this will be:
= 1/2 × 7
= 3.5
In conclusion, the amount of grapes that he gave away is 3.5 pounds.
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ordering numbers from greatest to least is called putting them in *blank* order