The system of equations is x + y = 15 and 0.10x + 0.25y = 2.85. Then the number of dimes and quarters will be 6 and 9, respectively.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
Madelyn has a total of 15 dimes and quartets in her piggy bank. The total amount of money in her piggy bank is $2.85.
Let 'x' be the number of dimes and 'y' be the number of quarters. Then the equations are given as,
0.10x + 0.25y = 2.85 ....1
x + y = 15 ....2
From equations 1 and 2, then we have
0.10(15 - y) + 0.25y = 2.85
1.5 - 0.10y + 0.25y = 2.85
0.15y = 1.35
y = 9
Then the value of the variable 'x' is given as,
x + 9 = 15
x = 6
The system of equations is x + y = 15 and 0.10x + 0.25y = 2.85. Then the number of dimes and quarters will be 6 and 9, respectively.
More about the solution of the equation link is given below.
https://brainly.com/question/545403
#SPJ5
In Louisville, 40% of the population is female and 60% are males. 36% of Louisville's population is under 18. The ratio of males to females who are under 18 is 2:1. If there are 1,176 males who are under 18, what is the population of females who are over 18.
Answer:
1411 females
Step-by-step explanation:
Given that:
Male population = 60%
Female population = 40%
36% of total population are under 18
Ratio of male to female under 18 = 2 : 1
Males under 18 = 1176
Females over 18 =?
The population of females under 18:
If males under 18 = 1176
Then female under 18 = 1176 / 2 = 588
Hence number of population under 18 = (1176 + 588) = 1764
1764 = 36% of the entire population
Hence, (100 - 36)% = 64% of the entire population are over 18
1764 = 0.36
x = 0.72
x = (0.72 * 1764) / 0.36
x = 3528
Hence, 40% of the population above 18 are female
0.4 * 3528 = 1411.2
= 1411 females are over 18
HELP HAVING A BAD DAY
Brandon decided to make his own hand sanitizer.
To be effective, hand sanitizer should contain 60% alcohol.
How much water does Brandon need to make 250ml of hand sanitizer?
I WILL REWARD BRAINLIEST FOR CORRECT ANSWER
Answer:
I think he might need 100ml.
Step-by-step explanation:
Brandon needs to use 100 ml of water to make 250 ml of hand sanitizer.
What is the percentage?The percentage is defined as a ratio expressed as a fraction of 100.
To save money, Brandon made his own hand sanitizer. Hand sanitizer needs 60% alcohol to be effective.
We have to determine the amount of water to manufacture 250ml of hand sanitizer.
To make 250ml of hand sanitizer with 60% alcohol, Brandon needs to use 250ml x 60% = 150ml of alcohol.
Since the total volume of the hand sanitizer is 250ml,
Brandon needs to use 250ml - 150ml = 100ml of water to make 250ml of hand sanitizer.
Therefore, he needs to use 100 ml of water to make 250 ml of hand sanitizer.
Learn more about the percentages here:
brainly.com/question/24159063
#SPJ2
10000000000000000000x0 + 111111111111111111111111111111111111111111111111111111
Answer:
111111111111111111111111111111111111111111111111111111
Step-by-step explanation:
Given 2x (x + 1) - 3 (x + 1), what can be done to simplify for factoring?
A.
Subtract 2x.
B.
Factor out (x+ 1).
C.
Add 3.
D.
Multiply by (x + 1).
Answer:
Im not sure but i think its b
12. You are at a carnival and you can spend no more than $15 on games. If you spent $8.75 already, how much money do you have left to spend? Write an inequality and solve.
15-8.75= 7.25
That is the answer
-3x + 1 – 3 – 6x what is the awnser
Answer:
-9x-2
Step-by-step explanation:
Answer:
-9x -2
Step-by-step explanation:
-3x + 1 – 3 – 6x
Combine like terms
-3x -6x +1 -3
-9x -2
Ahmad’s father is 4 times as old as Ahmad. After 5 years, father will be three times as old as Ahmad. Find their present ages
The present age of Ahmed and Ahmed's father is 12 and 36 respectively.
Step-by-step explanation:
Given : Ahmed's father is thrice as old as Ahmed. After 12 years, his age will be twice that of his son.
To Find : Their present age ?
Solution :
Let the Ahmed's age be 'x'.
Ahmed's father is thrice as old as Ahmed.
i.e. Ahmed's father age is '3x'
After 12 years, his age will be twice that of his son.
i.e. 3x+12 = 2(x+12)3x+12=2(x+12)
Solving the equation,
3x+12 = 2x+243x+12=2x+24
x=12x=12
So, Ahmed's age is 12.
Ahmed's father age is 3\times 12=363×12=36
Therefore, The present age of Ahmed and Ahmed's father is 12 and 36 respectively.
There is 3 times in space of 4 times please mark as brainlistFind the measure of side JK
Answer:
In ΔIJK, the measure of ∠K=90°, JK = 90 feet, and KI = 54 feet. Find the measure of ∠I to the nearest tenth of a degree.
Step-by-step explanation:
If the price is the same for each yard, how much money would 12 yards of fabric cost? $18.00 $21.00 $24.75 $26.25
Answer:
The answer is $21
Step-by-step explanation:
The amount of money for 12 yards of fabric is $ 21.00
Given data:
To determine the cost of 12 yards of fabric, we can use the information provided in the table. We observe that the cost of fabric increases linearly with the number of yards.
The table shows that 3 yards of fabric cost $5.25. To find the cost per yard, we divide the total cost by the number of yards:
$5.25 / 3 = $1.75
On simplifying the equation:
Now we can use this cost per yard to calculate the cost of 12 yards:
$1.75 × 12 = $21.00
Hence, 12 yards of fabric would cost $21.00.
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ2
The complete question is attached below:
The table below shows the amount of money needed to buy certain amounts of fabric.Fabric Cost
Yards of Fabric
Total
Cost
3
$5.25
6
$10.50
9
$15.75
12
?
If the price is the same for each yard, how much money would 12 yards of fabric cost?
$18.00
$21.00
$24.75
$26.25
what is the value of f
Answer:
f = 54°
Step-by-step explanation:
54° and f are vertical angles and are congruent, thus
f = 54°
4 • (2)3 equals???????
Answer:
24
Step-by-step explanation:
4*6=24
WILL MARK BRAINLIEST !!!
find the indicated value for each of the figures shown or described
Answer:
10. 9
In the first question we can solve using the Pythagorean theorem. It states that the hypotenuse in a right triangle or the longest side of the triangle, squared is equal to the other 2 sides, squared. Its expressed as so: C^2 = A^2 + b^2 where c is the hypotenuse and a and b are the other sides oft eh triangle.
Therefore,
15^2 = 12^2+x^2
225=144+x^2
81=x^2
x=9
__________________________________________________________
11. x=12
In this figure, there are 2 right triangles on the sides of the square. If we can find the lengths of the base of both triangles then we can find x using the Pythagorean theorem. the total base is 21 and the square is 11. 11+a+b=21. We can assume that both triangles are congruent and therefore we can solve this equation:
11+a+b=21
a+b=10
5+5=10
b=5
a=5
The bases of the two triangles are 5 and the hypotenuse is 13. Now we can solve using the Pythagorean theorem:
c^2 = a^2+b^2
13^2=5^2+x^2
169=25+x^2
144=x^2
144= 12 x 12
x=12
__________________________________________________________
12.
The diagnol of a triangle is the hypotenuse and since the length is the square root of 3, we have all the information we need.
c^2 = a^2+b^2
2^2 = (square root of 3)^2+b^2
4=3+b^2
1=b^2
b=1
Step-by-step explanation:
Cookies are on sale! Today each cookie costs \$0.75$0.75dollar sign, 0, point, 75 less than the normal price. Right now if you buy 777 of them it will only cost you \$2.80$2.80dollar sign, 2, point, 80!Write an equation to determine the normal price of each cookie
Answer:
The equation to determine the normal price of each cookie is
7(x - 0.75) = 2.80
The normal price of each cookie = $1.15
Step-by-step explanation:
Let us represent the normal price of a cookie as : x
We are told that:
Today each cookie costs \$0.75less than the normal price.
The price of a cookie today is
x - 0.75
Right now if you buy 7 of them it will only cost you \$2.80$
Hence:
7(x - 0.75) = 2.80
Solving for x
7x - 5.25 = 2.80
7x = 2.80 + 5.25
7x = 8.05
x = 8.05/7
x = $1.15
The normal price of each cookie = $1.15
Answer:
$ 1.15
Step-by-step explanation:
7(c-0.75) = 2.80 is the equation
$1.15 is the total for C
I did this khan before and this is correct
Hope this helps!
;)
Jessica is looking at the blueprints for her new apartment. In the blueprints,
the length of the master bedroom is 2.5 inches. What is the actual length of
the master bedroom in feet?
Answer: 20 feet
Step-by-step explanation: you want to do 2.5 x 8
Which number sentence is true?
A. -1/12 times 6/7 = -1/14
b. -1/12 times (-6/7)= -1/14
c. 1/12 times 6/7 = -1/14
d.1/12 times (-6/7) = 1/14
Answer:
We conclude that:
[tex]-\frac{1}{12}\cdot \frac{6}{7}=-\frac{1}{14}[/tex]
Hence, option (A) is true.
Step-by-step explanation:
Let us solve the expression
-1/12 times 6/7 = -1/14Let us solve the L.H.S to check whether it becomes equal to R.H.S
[tex]-\frac{1}{12}\:\times \frac{6}{7}[/tex]
Factor the number: 12=6×2
[tex]-\frac{1}{6\cdot \:2}\cdot \frac{6}{7}[/tex]
Cross - cancel the common factor
[tex]-\frac{1}{2}\cdot \frac{1}{7}[/tex]
[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}[/tex]
[tex]-\frac{1\cdot \:1}{2\cdot \:7}[/tex]
Multiply the number: 7×2 = 14
[tex]-\frac{1}{14}[/tex]
Therefore, we conclude that:
[tex]-\frac{1}{12}\cdot \frac{6}{7}=-\frac{1}{14}[/tex]
Hence, option (A) is true.
Answer:
a
Step-by-step explanation:
EXPLAIN HOW TO PARTITION SHAPES (sorry for caps lock)
Answer:
Partition shapes is to create equal shares by partitioning one whole area into small same-size areas.
a. (x+2) (x2 +x+2) + 2(x3 + x2)
Answer:
3x³ + 5x² + 4x + 4
Step-by-step explanation:
Given
(x + 2)(x² + x + 2) + 2(x³ + x²)
To expand the product, each term in the second factor is multiplied by each term in the first factor, that is
x(x² + x + 2) + 2(x² + x + 2) + 2(x³ + x²) ← distribute the parenthesis
= x³ + x² + 2x + 2x² + 2x + 4 + 2x³ + 2x² ← collect like terms
= 3x³ + 5x² + 4x + 4
-write each product using an exponent 6 x 6 =
The product is expressed as an exponent as 6 x 6 = 6².
Given data:
To write the product 6 x 6 using an exponent, we can express it as 6².
The different Laws of exponents are:
mᵃ×mᵇ = mᵃ⁺ᵇ
mᵃ / mᵇ = mᵃ⁻ᵇ
( mᵃ )ᵇ = mᵃᵇ
mᵃ / nᵃ = ( m / n )ᵃ
m⁰ = 1
m⁻ᵃ = ( 1 / mᵃ )
When we multiply a number by itself, we can represent the repeated multiplication using an exponent. In this case, we have 6 multiplied by 6, which is the same as saying 6 raised to the power of 2 (6²).
The exponent 2 indicates that we are multiplying 6 by itself 2 times.
Hence, the product 6 x 6 can be written as 6².
To learn more about exponents click :
https://brainly.com/question/28966438
#SPJ2
Pls help, The graph of a proportional relationship contains the point (20, 4) .
What is the corresponding equation?
Enter your answer as a fraction in simplest form by filling in the boxes.
y = ?/? x
Answer:
y = 1/5 x
Step-by-step explanation:
Answer:
1
--
5
Step-by-step explanation
Can you give jasmynpurifoy branliest
WILL MARK BRAINLIEST!!!! BRAINLIEST!
Write 206 in base 7
Answer:
104
Step-by-step explanation:
A school has 1,000 students on Wednesday, 300 students went on a field trip. What percent of students did not go on the field trip?
Answer:
%70
Step-by-step explanation:1,000=%100 300+%30 1000 - 300 = 700 so 700 + %70
Graph the linear equation y= -1/2x-1
Answer:
thetht
Step-by-step explanation:jtejr
Evaluate this expression when x is 50
-6x+150
Answer:
-150
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightStep-by-step explanation:
Step 1: Define
-6x + 150
x = 50
Step 2: Evaluate
Substitute in x: -6(50) + 150Multiply: -300 + 150Add: -150Amitas kitchen is rectangular with an area of 3 3 4 square meters the width of the kitchen is 1 1 2 meters what is the length in meters of amitas kitchen
Answer:
2 1/5 meters
Step-by-step explanation:
Given that:
Area of kitchen = 3 3/4
Width of kitchen = 1 1/2
Length = x
Recall : Area of rectangle = Length * width
Area of kitchen = length * width
3 3/4 = x * 1 1/2
15 / 4 = x * 3/2
x = 15/4 ÷ 3/2
x = 15/4 * 2/3
x = 30/12 = 2 6/30
x = 2 1/5
if A # B means the same thing as 2 A- B, then 1 # ( (2 # 3 ) # 4) equals:
By definition of #,
2 # 3 = 2•2 - 3 = 4 - 3 = 1
(2 # 3) # 4 = 1 # 4 = 2•1 - 4 = 2 - 4 = -2
1 # ((2 # 3) # 4) = 1 # (-2) = 2•1 - (-2) = 2 + 2 = 4
The 1 # ( (2 # 3 ) # 4) equals to 4.
Given that,
if A # B means the same thing as 2 A- B.Based on the above information, the calculation is as follows:
By definition of #,
= 2 # 3
= 2(2) - 3
= 4 - 3
= 1
Now
=(2 # 3) # 4
= 1 # 4
= 2(1) - 4
= 2 - 4
= -2
Now
=1 # ((2 # 3) # 4)
= 1 # (-2)
= 2(1) - (-2)
= 2 + 2
= 4
Learn more: brainly.com/question/16911495
which is a mathematical property shown here
8(x+7)
1 commutative property
2 distributive property
3 identity of addition
WILL GIVE BRAINLIEST if you spin the following spinners how many outcomes are possible
Answer: 30 OR C
Step-by-step explanation:
Expand and simplify 5(3x+2)-2(4x-1)
Answer:
15x+10-8x+2
7x+12
Step-by-step explanation:
Answer:
7 x + 12
Step-by-step explanation:
pleaseee help me answer this!!! it is my last question help!!!
Can someone solve this problem with work please? :)