Answer:
D, A, E, C, B or 2, 5, 4, 1, 3
Step-by-step explanation:
In general, you compare each line to the one before, and figure out what step was taken. Anything involving an arithmetic operation is allowed by the <Operation> Property of Order.
1. Matches the equation you're solving. This equation is Given.
2. The parentheses have been eliminated by multiplying their insides by the factor outside. The Distributive Property says you can do that.
3. The term 7x has been subtracted from both sides. The Subtraction Property of Order says you can do that.
4. The term -20 has been eliminated by adding 20 to both sides. The Addition Property of Order says you can do that.
5. Both sides have been divided by 18. The Division Property of Order says you can do that.
In a two digit number, the sum of the digit is 14. Twice the tens digit exceeds the units digit by one. Find the numbers?
Answer:
59
Step-by-step explanation:
x= tens place of number
y= ones place of number
set up equations:
"sum of the digit is 14"
sum is the result of addition
x+y=14
"Twice the tens digit exceeds the units digit by one"
2x is bigger than y by 1
if 2x is bigger, then add 1 to the opposite side to balance the equation:
2x=y+1
with 2 equations you can solve for 2 variables:
2x=y+1
2x-1=y
substitute into x+y=14
x+(2x-1)=14
3x-1=14
3x=15
x=5
------
subtitute to find y
x+y=14
5+y=14
y=9
number is 59
a ball bounces 124 feet off the ground. each time it bounces it bounces half of its original height. How much tell the total is 500 feet
The ratio of green balloons to blue balloons is 6 to 9 if there are 1620 blue balloons how many green balloons are there
ASAP HELPPPPPPPPP PLEASE!!!!
Answer:
1. y=3/5x +1
2. x = -3
3. y = 4
4. y = -1/3x + 4
5. y=5x + 4
6. y= 3/4 x + 1
7. y = 9/4x - 1/2
8. y = 5/3x
9. y = -5x +5
10. y = 2x - 5
11. y = -4x - 4
12. y = 1/4x - 4
Step-by-step explanation:
math lol
bob has 20 apples, billy has 20 pears, bob gives 4 pears to his little sister, billys uncle gives him 69 bananas. What is the difference between the total fruits billy and bob have
Answer:
73
Step-by-step explanation:
Bob
20-4=16
Billy 20+69=89
89-16=73
3 pairs of $23.67 gloves. what is the unit price?
Answer:
7.89 dollars
Step-by-step explanation:
The unit price would be the price of one pair of gloves.
So divide the total cost by the number of pairs bought.
23.67/3= 7.89
The sum of two numbers is 80
their difference is 38.
The product of these 2 numbers is __?
kiyo bought a pizza for 12.75 and four medium drinks to Pauli’s pizza. Define a variable and write an expression to represent the total amount of money he spent. Then find the total cost if one drink costs $3.
The total cost, if one drink costs $3 is $27.75
Let the cost of a pizza be xLet the cost of a drink be yIf kiyo bought a pizza for 12.75 and four medium drinks to Pauli’s pizza, this expressed as x + 4y
Since a pizza costs $12.75, hence x = $12.75
The function becomes 12.75 + 5y
f(y) = 12.75 + 5y
To get the total cost if one drink costs $3, hence;
f(3) = 12.75 + 5(3)
f(3) = 12.75 + 15
f(3) = 27.75
Hene the total cost, if one drink costs $3 is $27.75
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i need help with this!!
Answer:
Answer: x <-4Step-by-step explanation:
you need to do it step by step and use something that will help
8x-4<-36
8x<-36+4
8x<-32
Answer: x<-4
the equation above models h, the height of a firework shell in feet, t seconds after launch. what is the height in feet, of the firework shell 2 seconds after launch?
3. Solve by graphing. Round each answer to the nearest tenth.
x^2 - 7x = 11
Answer:
-1.3, 8.3
Step-by-step explanation:
Based on the graph below, the solutions are -1.3 and 8.3.
ABC is a right triangle. If AC = 7 and BC 8, find AB. Leave your answer in simplest radical form.
Step-by-step explanation:
We don't know if AB is a hypotenuse or leg.
If AB is hypotenuse:
[tex]AB=\sqrt{AC^2+BC^2} =\sqrt{7^2+8^2} =\sqrt{49+64} =\sqrt{113}[/tex]If AB is leg:
[tex]AB=\sqrt{BC^2-AC^2} =\sqrt{8^2-7^2} =\sqrt{64-49} =\sqrt{15}[/tex]For base/Perpendicular
AB²=8²-7²AB²=64-49AB²=15AB=√15For Hypotenuse
AB²=8²+7²=64+49AB²=113AB=√113Suppose $22,825 is deposited into a savings account with a simple interest rate of 4.03%. Find the account balance after 5 years and 3 months.
Enter the answer in dollars and cents, and round to the nearest cent, if needed. Do not include the dollar sign. For example, if the answer is $0.61, only the number 0.61 should be entered.
Based on the information that's given, the account balance after the years given will be $27654.20.
The formula for simple interest is calculated as:
= PRT / 100
where,
Principal = $22825
Rate = 4.03%
Time = 5 years, 3 months = 5.25 years
Therefore, the simple interest will be:
= ($22825 × 4.03 × 5.25) / 100
= $4829.20
Therefore, the amount will be:
= $22825 + $4829.20
= $27654.20
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Answer:
The amount will be $27654.20
Step-by-step explanation:
10. Andrew has deposited $5500 ond has withdrawn $4800 Two times consecutively. Find the amount in his account.
Answer:
-4100
Step-by-step explanation:
STEP ONE:
5500-4800(2)
STEP TWO:
5500-9600
STEP THREE:
Get -4100.
So, the answer is -4100.
The Royal Fruit Company produces two types of fruit drinks. The first type is 80% pure fruit juice, and the second type is 100% pure fruit juice. The company is attempting to produce a fruit drink that contains 95% pure fruit juice. How many pints of each of the two existing types of drink must be used to make 220 pints of a mixture that is 95% pure fruit juice?
Answer:
55 from un-pure and 165 from pure
Step-by-step explanation:
to get 220 pints with 95% purity you need a mixture of 209 parts to 11 parts (220 *0.95 and 220 * 0.05)
we call the un-pure mixture a and the pure mixture b
all un-pure parts come from a and b in the following ratios
11 = 0.2a + 0b (each pint of mixture a adds 0.2 pints of unpure stuff and each pint of b adds no unpure stuff)
which we can then solve as:
a = 55
all pure parts come from a and b in the following rations
209 = 0.8a + 1b (each pint of mixture a adds 0.8 pints of pure stuff and each pint of b adds a full pint of the pure stuff)
now we can replace a with 55 (from above)
209 = 44 + b, and solve to
b = 165
now to double check
55 * (0.8x + 0.2y) + 165x would give you
44x + 11y + 165x, which is
11x + 209y and if you then check the ratio
209 / (209+11) = 0.95 again
There will be 55 pints and of un-pure and 165 pints of pure fruit drinks.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
To get 220 pints with 95% purity you need a mixture of 209 parts to 11 parts (220 *0.95 and 220 * 0.05)
We call the un-pure mixture a and the pure mixture b
All un-pure parts come from a and b in the following ratios
11 = 0.2a + 0b (each pint of mixture a adds 0.2 pints of unpure stuff and each pint of b adds no unpure stuff)
which we can then solve as:
a = 55
All pure parts come from a and b in the following rations.
209 = 0.8a + 1b (each pint of mixture a adds 0.8 pints of pure stuff and each pint of b adds a full pint of the pure stuff)
Now we can replace a with 55 (from above)
209 = 44 + b, and solve to
b = 165
Now to double check
55 x (0.8x + 0.2y) + 165x would give you
44x + 11y + 165x, which is
11x + 209y and if you then check the ratio
209 / (209+11) = 0.95
Therefore, there will be 55 pints of unpure and 165 pints of pure fruit drinks.
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HELP PLEASE!!!
What is the ratio of 1713.57^2/4113.87^3.
Answer:
4.21747×10^-5
Step-by-step explanation:
Your calculator can do the division for you. The ratio is about 4.21747×10^-5.
__
This is approximately 10/237109.
Jerry took a test that had 45 questions on it. He got 36 correct. Enter the
percentage of questions Jerry got correct.
Answer:
80% is what he got on the test
out of 300 students at rsm summer camp 180 are boys what fraction of all students are boys
Answer:
3/5
Step-by-step explanation:
so first of all...
out of
300
students,
180
are boys.
180/300
which, simply by 60
3/5
so.. 3/5 of the people at rsm (whatever that is) summer camp are boys! Explanation isn't good, but you didn't really ask for it so i think you're ok... I guess. Now i just need an answer to my problem...
In rsm summer camp, fraction of boys is 3/5.
What is a fraction?A fraction is a numeral that represents a rational number.
Let a and b be two numbers, then their fraction can be represented as a/b.
Given that,
Total number of students at rsm summer camp = 300.
Total number of boys at rsm summer camp = 180.
To find the fraction of boys to all students.
Fraction of boys = number of boys / total number of students
= 180 / 300
= 18 / 30
= 3 / 5
The required fraction of boys is 3/5.
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What is the area of the square?
32 square units
64 square units
24 square units
16 square units
Answer:
64 square units
Step-by-step explanation:
All you have to do is multiply 8 by 8 to get 64.
Can someone please give me the (Answers) to this? ... please ...
Answer:
For A1-4 I am pretty sure the answers are: Question 1.) 3/1 (or 3) Question 2.) -6/6 (also can be written as -1) Question 3.) 9/5 and Question 4.) -4/3
Step-by-step explanation:
For Question 1 you just rise 3 and run 1 which gets you 3/1
For Question 2, to get from coordinate 2 to 8 you add 6, and to get from coordinate -10 to -16 you subtract 6. This leaves you with -6/6 (or -1)
For Question 3, the slope is written within the equation (y=9/5x-5) the 9/5 is the slope.
For Question 4, you take 4x+3y=6 and turn it into y=mx+b form, to do so you subtract 4x on both sides leaving you with 3y=-4x+6. Then you divide 3 on both sides, y=-4x/3 + 6/3. Then the result would be y=-4/3x+2 which means that the slope is -4/3.
I am not sure if these are all correct, but i hope it helps! :)
Layla has 5.49 pounds of wood she divides it into 7
so basically 5.49÷7
Answer:
0.7842857142857143
Step-by-step explanation: i would right an explanation but i cant put it all so you will just have to trust me
HELP ME PLZZZZ
its really hard and i cant solve it i have two more quetions to answer and thats it so plz help
Answer:
(-1, -6)
Step-by-step explanation:
graph it pleaseeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
Step-by-step explanation:
5c + 4f ≥ 200
c + f ≤ 60
c > 0
f > 0
the vertex angle of isosceles triangle is 110 degrees. what are the measures of the base angles
Answer:
35°
Step-by-step explanation:
The base angles of an isosceles triangle are congruent , then
base angles = [tex]\frac{180-110}{2}[/tex] = [tex]\frac{70}{2}[/tex] = 35°
7/13 as a decimal rounded to the nearest hundredth
Answer:
0.54
Step-by-step explanation:
Answer:
0.54
Step-by-step explanation:
calculator. easy.
what is the x coordinate to the solution for the following system of equations
x = 2y
4x - 3y = 15
Answer:
x=6
Step-by-step explanation:
x=2y
4x-3y=15
4(2y)-3y=15
8y-3y=15
5y=15
y=3
x=2y
x=2(3)
x=6
1. For each incomplete expression, indicate the number that will result in the expression
being equal to 0.
Expression
2 -
3 +
4-
5+
6-
7+
Answer
Answer:
2-2=0, 3+(-3)=0, 4-4=0, 5+(-5)=0, 6-6=0, and 7+(-7)=0
Step-by-step explanation:
i have no idea what math this is or what its looking for so please comment how to improve the answer
6x+ 14 <--28
AND
3r + 28 < 25
Answer:
what?
Step-by-step explanation:
Y'all i need some help with this.
Answer:
Divide everything by 100.
Step-by-step explanation:
If you divide every number you want by 100, you get a decimal out of 100.
The bottom of a rectangular swimming pool has a perimeter of 62 meters. Its area is 220 square meters. What are the dimensions of the pool?
_____ meters by _____ meters
Answer:
13640cubicmeter........