answer the question with an explanation, please
The ratio of Amy's loan repayments to her earnings last year was 7/23
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
A variable can either be dependent or independent. A dependent variable depend on other variable while an independent variable does not depend on other variables.
Amy earned £18400 and her total loan repayments were £5600. Hence:
Ratio of repayments to earnings = £5600 / £18400 = 7/23
The ratio of Amy's loan repayments to her earnings last year was 7/23
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During the first week of school Andrew purchased two pounds of Jellies and two pounds of Bonbons for $38. The second week of school he purchased two pounds of Jellies and four pounds of Chocolates for $74 and the third week he purchased two pounds of Jellies, two pounds of Bonbons and one pound of Chocolates for $53. What is the cost of one pound of Chocolates?
Answer:
j = $7
b = $12
c = $15
Step-by-step explanation:
Let
j = cost of one pound of jelly
b = cost of one pound of Bonbon
c = cost of one pound of chocolate
First week:
two pounds of Jellies and two pounds of Bonbons for $38.
2j + 2b = 38
Second week:
two pounds of Jellies and four pounds of Chocolates for $74
2j + 4c = 74
Third week:
two pounds of Jellies, two pounds of Bonbons and one pound of Chocolates for $53.
2j + 2b + c = 53
Recall,
2j + 2b = 38
So,
38 + c = 53
c = 53 - 38
= 15
c = $15
Substitute c = 15 into
2j + 4c = 74
2j + 4(15) = 74
2j + 60 = 74
2j = 74 - 60
2j = 14
j = 14/2
= 7
j = $7
Substitute j = 7 into
2j + 2b = 38
2(7) + 2b = 38
14 + 2b = 38
2b = 38 - 14
2b = 24
b = 24/2
= 12
b = $12
Emily wins 22000$. She has to pay 10% for charity and then she decides to buy a car for 10800$. She divides the rest of them between her son and daughter in the ratio 1:4. How much does her daughter get.
Answer:
$7 200
Step-by-step explanation:
Amount of money paid for charity = [tex]\frac{10}{100}[/tex] × $22 000
= $2 200
Remaining money left for children = $22 000 - $2 200 - $10 800
= $9000
Let the amount of money her son receives be x and the amount her daughter gets be 4x.
Son's $ + Daughter's $ = $9000
x + 4x = 9000
5x = 9000
Amount of money her daughter gets (4x) = [tex]\frac{4}{5}[/tex] × 9000
= $7 200
What is the solution to the equation 6n+7=55
Answer:
n = 8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define Equation
6n + 7 = 55
Step 2: Solve for n
Subtract 7 on both sides: 6n = 48Divide 6 on both sides: n = 8Step 3: Check
Plug in n into the original equation to verify it's a solution.
Substitute in n: 6(8) + 7 = 55Multiply: 48 + 7 = 55Add: 55 = 55Here we see that 55 does indeed equal 55.
∴ n = 8 is a solution of the equation.
Answer:
n =8 I hope this helped
Solution:
6n +7-7=55-7
I hope this helped
Which number is a solution of the inequality?
8< x ( 7- x)
A. 2
B. 8
C. –1
D. 0
Answer:
8< (2) ( 7- (2)) = 8<10 which is true
so A. is the answer
Step-by-step explanation:
Amir solved the following equation. describe the first mistake he made.
2x-2=14
-2 -2
2x =12
2. 2
X=6
Answer:
he faked too much
Step-by-step explanation:
The bill for the repair of a computer was $179. The cost of parts was $44, and labor charge was $45 per hour. How many hours did it take to repair the computer?
Step-by-step explanation:
44 + 45h = 179
45h = 179 - 44
45h = 135
h = 135/45
h = 3 It took 3h to repair
I hope that help's
if y directly with x, and y= -20 when x=3, what is y when x=15?
Step-by-step explanation:
you can ask questions for clarification
which are equivalent to 3
-
4
Answer: 9/12 is equivalent to 3/4.
Explanation: 3 times 12 = 36 and 4 times 9 = 36.
Hope this helps!
Solve Each Equation show work
7. |n| - 4 = - 3
8. -3 |x|= - 18
Answer:
1. n is 1 or -1
2. x is 6 or -6
Step-by-step explanation:
1. |n| -4 = -3
|n| = -3 + 4
|n| = 1
so n = 1 or - 1
2) -3|x| = -18
divide both sides by -3
|x| = -18/-3
|x| = 6
so x = -6 or 6
3. Based on the data within your schedule and curve, are you using your resources efficiently? Support your answer using the data presented. i used the numbers Combinations Running shoe inserts Hiking boot inserts
A 0 10
B 3 8
C 6 6
D 9 4
E 12 2
F 15 0
please help brainlyistttt
3. No, I am not using my resources very efficiently. This is because when we need to make more hiking boots you have to make fewer running shoes.
4. I would recommend for them to focus on the hiking boots more because they use less material to make them.
hope this is correct c:
Yes, my resources are being used efficiently if I choose point D, as then I will be making equal amounts of product (1 to 1 ratio).
What is a statistics?
'Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.'
According to the given problem,
This is the most efficient point by far compared to the others, because the two axes are the closest together out of all of the 7 points.
I would recommend that the Shoe Hut focus on both of them, as they have a perfect 1 to 1 ratio.
However, if needed, it is possible to allocate all production power towards running shoe insoles at a 15 to 0 ratio compared to hiking shoe insoles at10 to 0.
Hence, we concluded that, It would be better for the shoe hut to focus on running shoe insoles because they are easier to produce and there is less production of cost.
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PLEASE LOOKS AT PHOTO it’s due tonight i’m struggling badly :(
Answer:
y = 6.32
Step-by-step explanation:
7^2-3^2= 40
hope it helped
Please help me with this.
Write the expression 8x^2y + 3xy^2 - 2xy - x^2y + 3xy - 5xy^2 in simplest form.
Then, answer the following questions using complete sentences:
a. How many terms are in the simplified expression?
b. How many of the terms in the simplified expression are positive?
Answer:
[tex]7x^{2} y-2xy^2+xy[/tex]
Three terms.
Two terms are positive.
Step-by-step explanation:
[tex]8x^2y + 3xy^2 - 2xy - x^2y + 3xy - 5xy^2[/tex]
Group like terms
[tex]=8x^{2} y-x^{2} y+3xy^2-5xy^2-2xy+3xy[/tex]
Add similar elements: [tex]8x^{2} y-x^2y=7x^2y[/tex]
[tex]=7x^2y+3xy^2-5xy^2-2xy+3xy[/tex]
Add similar elements: [tex]3xy^2-5xy^2=-2xy^2[/tex]
[tex]=7x^{2} y-2xy^2-2xy+3xy[/tex]
Add similar elements: [tex]-2xy+3xy=xy[/tex]
[tex]=7x^2y-2xy^2+xy[/tex]
[tex]7x^2y[/tex] and [tex]-2xy^2[/tex] and [tex]xy[/tex] are the three different terms.
Only [tex]7x^2y[/tex] and [tex]xy[/tex] are positive terms, thus making two positive terms.
A jeweler has a watch for sale for $75.00. If she charges her customer $7.50 for sales tax, what is the percent of sales tax?
Answer:
10 percent
Step-by-step explanation:
7.5 times 10 = 75.
plez give me brainiest
whats the answer giving brainliest XD
Answer:
C.
Step-by-step explanation:
Keep, change, flip.
Keep the first number, change the division sign to a multiplication sign, and flip the numerator and denominator of the second number.
Answer:
C. 1/2 * 5/4
Step-by-step explanation:
Reciprocals
An environmentalist tracks the total number of trees y in a park after x years of a planting program. The line of best fit for the data is represented by the equation y = 4x + 15. What is the percent change in the total number of trees from x = 3 to x = 6? Round your answer to the nearest percent.
Answer:
44.4%
Step-by-step explanation:
Given that:
Equation of best fit : y = 4x + 15
Where, y = number of trees x years after a planting program
When x = 3
y = 4(3) + 15 = 12 + 15 = 27 trees
When x = 6
y = 4(6) + 15 = 24 + 15 = 39 trees
Percentage change in total number of trees:
((39 - 27) / 27) * 100%
(12 / 27) * 100%
0.44444 * 100%
= 44.4%
8 is what percent of 64?
Answer:
The answer is 12.5
step by step
solve 3x + 4 = 5x + 28
Answer:
x = -12
Step-by-step explanation:
Step 1: Subtract 5x from both sides.
3x + 4 - 5x = 5x + 28 - 5x
-2x + 4 = 28
Step 2: Subtract 4 from both sides.
-2x + 4 - 4 = 28 - 4
-2x = 24
Divide both sides by -2.
-2x/-2 = 24/-2
x = -12
Answer:
x= -12
Step-by-step explanation:
Somebody plz help me
Answer:
I am sorry thats a lot to type out.
Step-by-step explanation:
I will say that to know if its rational, you have to see if the integer can be written in a fraction (like 0.333, 89/10, -4, 0)
Answer:
Whole numbers: 3, [tex]\sqrt{4}[/tex], [tex]\frac{49}{7}[/tex], zero
Integer but not whole: -100, -34, -4, -[tex]\frac{8}{4}[/tex]
Rational number: 9.23456, [tex]\frac{1}{2}[/tex], [tex]\frac{89}{10}[/tex], 0.333_
Irrational number: [tex]\pi[/tex], 0.456783_, [tex]\sqrt{8}[/tex]
Step-by-step explanation:
Whole number is any number that does not have a decimal and is not negative. [tex]\sqrt{4}[/tex] = 2. [tex]\frac{49}{7}[/tex] = 7. 0 is not negative and does not have a decimal so it is also a whole number.
Integers are any number that does not have a decimal and can be both positive or negative. -[tex]\frac{8}{4}[/tex] = -2.
A rational number can have a decimal but the decimal digits must terminate or the digit must repeat. [tex]\frac{1}{2}[/tex] is 0.5. [tex]\frac{89}{10}[/tex] is 8.9 and 0.333_ repeats the digit 3 so it is rational.
An irrational number can have a decimal and the decimal digits must list on forever or not repeat. [tex]\pi[/tex] is naturally an irrational number as it does not repeat and it spreads on forever. 0.456783_ does not repeat and goes on forever due to the dash at the back. [tex]\sqrt{8}[/tex] is also not rational.
9. Which of the following vary inversely with each other?
(a) speed and distance covered.
(b) distance covered and taxi fare.
(c) distance travelled and time taken.
(d) speed and time taken.
8th class maths . please explain your answer
Answer:
speed and distance covered
Step-by-step explanation:
when the distance is a constant, the time is related inversely.
The numerator of a rational number 8
Answer:
We conclude that the numerator of a rational number 8 will be 8.
Step-by-step explanation:
We know that any number which can be written in the form p/q is called a rational number.
i.e. p/q
Where p and q are integers and q≠0.
Here:
The numerator is pThe denominator is qGiven the number
8
As number '8' can be written in the form p/q, so it is a rational number.
i.e. 8/1
Thus,
The numerator = 8The denominator = 1Therefore, we conclude that the numerator of a rational number 8 will be 8.
Change the fraction to an equivalent fraction using multiplication.
\(\frac{5}{7}=\frac{?}{21}\)
Answer:
[tex]\frac{5}{7\\}[/tex] * [tex]\frac{3}{3}[/tex] = [tex]\frac{15}{21}[/tex]
Step-by-step explanation:
To get an equivalent fraction, we multiply by a fraction that is equal to one. The purpose is to alter the denominator of the fraction. To get from a denominator of 7 to 21 we multiply by 3. Therefore we will multiply 5/7 by 3/3 to get the new equivalent fraction with a denominator of 21.
Answer:
a0 - 15
Step-by-step explanation:
12 - 3a for a=3. if a=3, 12 - 3a= ?
Answer:
3
Step-by-step explanation:
if a=3 then 12-3a = 12-9 = 3
Which point in the graph is on f(x)=3x5^x
Answer:???
Step-by-step explanation:
Answer:
(1,15)
Step-by-step explanation:
what is the result of converting 60 ounces to pounds remember there are 16 ounces in a pound brainly
The 60 ounces equals 3.75 pounds.
We are given in question the relation between pound and ounce. So, using that to find out the result of converting 60 ounces to pound. We will simply divide the given number of ounces by number of ounces in a pound.
Representing the given relation in equation form -
16 ounces = 1 pound
Thus, 1 ounce = [tex]\frac{1}{16}[/tex] pounds
Rewriting the equation for 60 ounces
So, number of pounds in 60 ounces will be = [tex]\frac{1*60}{16}[/tex]
Performing multiplication and division to find the number of pounds in 60 ounces to
Number of pounds in 60 ounces = 3.75
Thus, the result of converting 60 ounces to pounds is 3.75 pounds.
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increase 300 by 12%.
Answer:
300, percentage increased by 12% (percent) of its value = 336
Step-by-step explanation:
What will the date be in 2 months and 3 weeks? current date: December 13, 2020.
Answer: March 6th, 2021
HELP PLEASE ILL GIVE 27 POINTS
120% of x is 96. What is x?
Answer:
Step-by-step explanation:
You can do this using a small equation.
120% x = 96 Change 120% to a decimal
120/100 * x = 96 Multiply by 100
120x = 96 * 100
120x = 9600 Divide by 120
x = 9600/120
x = 80
Look what you got. 20% more than 80 is 96. x is smaller than 96.
If you take 20/100 * 80 = 16
if you add 16 to 80, you get 96
Answer:
x = 80
Step-by-step explanation:
120 % of x = 96
or, 120/ 100 × x = 96 change percentage to 100 and devide
or, 6 / 5 × x = 96
or, 6x / 5 =96. multiply 6 and x
or, 6x = 96 × 5. change devide sign to multiply
or, 6x = 480. multiply
or, x = 480 / 6. change multiply sign to devide
therefore, x = 80
hope this answer will help you.
have a great time
can someone plz plz plz help me choose an answer for this idk what it is
Answer:
Largest number ins scientific notation: 1.4 x 10⁹ (Diameter of sun)
Step-by-step explanation:
We need to find the largest number ins scientific notation.
The number which has highest degree would be the largest.
In the given options, Diameter of Sun has highest power i.e 10⁹
All other options have lower degrees.
So, largest number ins scientific notation: 1.4 x 10⁹ (Diameter of sun)
Find the measure of the missing angle
Answer:
33
Step-by-step explanation:
90-57 = 33
Answer:
33 degrees
Step-by-step explanation:
its a right triangle which is 90 degrees so if you just subtract 90-57 you'll get your answer which is 33.