Answer:
each chair weighs 6 lbs and the crate weighs 18 lbs.
Step-by-step explanation:
The solution is: 6 lbs does the crate weigh and, 18 lbs does each chair weigh.
What is equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign. In its simplest form in algebra, the definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
here, we have,
given that,
When you load 8 identical chairs into a crate, the total weight is 66 lbs. When you load 11 of those same chairs into the same crate, the total weight is 84 lbs.
let, each chair weigh = x
and, the crate weigh = y
so, we get,
the equations as:
8x + y = 66 ....(1)
11x + y = 84 ....(2)
now, solving this two equations,
we get,
subtracting (2) - (1),
3x = 18
or, x = 6
so, we have,
y = 18
Hence, The solution is: 6 lbs does the crate weigh and, 18 lbs does each chair weigh.
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A butcher has 3 1 3 pounds of ground beef that will be priced at $1.35 per pound. He divides the meat into 8 equal packages. To the nearest cent, the price of each package is $ .
Answer:
$0.56
Step-by-step explanation:
Cost of 3 1/3 pounds of beef at $1.35 per pound
= 3 1/3 × 1.35
= 10/3 × 1.35
= $4.5
He divides the meat into 8 equal packages. To the nearest cent, the price of each package is $
= $4.5 / 8
= $0.5625
Approximately $0.56 to the nearest cent
If f(n)= n2. n, then f(-4) is?
Answer:
f(-4) = 16
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
f(n) = n²
f(-4) is n = -4
Step 2: Evaluate
Substitute: f(-4) = (-4)²Exponents: f(-4) = 16Marta put $4.89 in her coin bank. Each day she added 1 quarter, 1 nickel, and 6 pennies. How much does she add each day? How much money was in her coin bank after 6 days?
Step-by-step explanation:
Marta put $4.89 in her coin bank.
Each day she added 1 quarter, 1 nickel, and 6 pennies.
We know that,
1 quarter = 25 cents
1 nickel = 5 cents
1 penny = 1 cent
⇒ 6 pennies = 6 cent
Total amount added in 6 days,
= 25 cents + 5 cents + 6 cent
= 36 cents
We know that,
1$ = 100 cents
36 cents = $0.36
Total money in her bank,
= $4.89 + $0.36
= $5.25
Hence, this is the required solution.
Circle the "best buy."
4 for $1.50
35 cents each
6 for $2.00
Mr. O’Hara found that on a recent trip his car used 12 gallons of gas to drive 396 miles. Assume that m represents the number of miles driven and g represents the number of gallons of gas used. What value makes the equation m=_*g represent the relationship between gallons of gas and miles driven?
Answer:
I think the answer would be 33. I am not exactly sure though.
The temperature was 80 °F and then fell 20 °F. What is the new temperature?
Solve the equation. y/8 = 5. y=
Answer:
y = 40
Step-by-step explanation:
Given
[tex]\frac{y}{8}[/tex] = 5 ( multiply both sides by 8 to clear the fraction )
y = 8 × 5 = 40
1. The difference of five times a number and 6 is -2.
Answer:
13
Step-by-step explanation:
5-x+6=-2
X=13
A company that makes hair products had 9000 people try new shampoo of the 9000 people 72 had a mild allergic reaction what percent of the people had a mild allergic reaction
Answer:
0.8%
Step-by-step explanation:
Number of people had mild allergic attack = 72
% of people who had mild allergic attack = 72/9000 × 100%
= 0.8%(Answer)
HELP! SSUUUUUUUUPER EASY! REEEEEEEEEEEALLY QUICK! I'm just du. mb
Answer:
15m^6
Step-by-step explanation:
Multiply 3 times 5
add 4 and 2
What is 1 • (4/5) • (4/5) • (4/5) • (4/5) • (4/5)
Answer:
1024/3125 = 0.328
Step-by-step explanation:
Three of the vertices of quadrilateral MARY are M (-3,1), A(3,3), and R(5,7). Find the
coordinates of Y, such that, quadrilateral MARY is a parallelogram.
Use coordinate geometry to prove that MARY is a parallelogram.
9514 1404 393
Answer:
Y = (-1, 5)
Step-by-step explanation:
The diagonals of a parallelogram bisect each other, so have the same midpoint. That is ...
(M +R)/2 = (A +Y)/2
Y = M + R - A . . . . . . multiply by 2 and subtract A
Y = (-3, 1) +(5, 7) -(3, 3) = (-3 +5 -3, 1 +7, -3) . . . . . substitute point coordinates
Y = (-1, 5)
Coordinate geometry was used to find Y that makes MARY a parallelogram. The fact that there is a solution is proof enough that MARY is a parallelogram.
_____
Your teacher may expect the "proof" to be either or both of ...
showing opposite sides have the same slopeshowing opposite line segments have the same lengthGiven the method used above, both of these are unnecessary. However, in the interest of completeness, we will demonstrate.
Slope and Length of MA
slope = (3 -1)/(3 -(-3)) = 2/6 = 1/3
length = √(2²+6²) = √40
Slope and Length of AR
slope = (7 -3)/(5 -3) = 4/2 = 2
length = √(4² +2²) = √20
Slope and Length of RY
slope = (5 -7)/(-1 -5) = -2/-6 = 1/3 . . . . same as opposite side MA
length = √((-2)²+(-6)²) = √40 . . . . . . . same as opposite side MA
Slope and Length of YM
slope = (1 -5)/(-3 -(-1)) = -4/-2 = 2 . . . . same as opposite side AR
length = √((-4)² +(-2)²) = √20 . . . . . . same as opposite side AR
Opposite sides have the same slopes, so the figure is a parallelogram.
Opposite sides have the same lengths, so the figure is a parallelogram.
Please help me due today
3. Which equation illustrates the associative
property of addition?
A. (x + y) + 3 = x + (y + 3)
B. 3(x + y) = 3x + 3y
C. x + y = y + x
D. x + 0 = x
Answer: C. x + y = y + x
Step-by-step explanation:
Answer:
A. (x + y) + 3 = x + (y + 3)
Step-by-step explanation-
The associative property of addition allows the numbers grouped within the parenthesis to be switched with the other numbers in the equation to make the problem easier to solve.
Hope this helped!
4+1/4 x + 3 = 10 pls help me
Answer:
= 1 2
Step-by-step explanation:
Combine multiplied terms into a single fraction
Multiply by 1
Add the numbers
Subtract 7 from both sides of the equation then Simplify
help pls !!!! order them from least to greatest
Answer: 3.5 , 2 1/2 , 5, 7, 11, π
Step-by-step explanation:
i hope i said those right
Lucas has a goal to practice his violin for 300 minutes per week. How many more minutes does Lucas needs to practice in order to meet his goal ? On Saturday he practice for 45 minutes On Sunday he practice for 50 minutes
Answer:
205 minutes
Step-by-step explanation:
Step one:
given data
We are told that Luca's goal is to practice violin for 300 minutes in a week
He has practiced 45 minutes and 50 minutes for Saturday and Sunday already
that is in all, 45+50= 95minutes
Required
The remaining minutes of practice
Step two:
the deficit in practice is
300-95= 205 minutes
help please need this answer quickly!!
Answer:
m<4 = 83
m<1 = 97
Step-by-step explanation:
bduruhrie
A Boat is tied to the dock with a 25-foot rope. When the rope is pulled tight, the boat is 18 feet away from the base of the dock. The rope connects to the boat at the level of the water. What is the measure, to the nearest tenth of a degree, of x, the angle formed by the rope and the surface of the water?
Answer:
43.9°
Step-by-step explanation:
We solve the above question using the Trigonometric function of Cosine
cos x = Adjacent/Hypotenuse
From the question
Adjacent = Distance of the boat from the dock = 18 feet
Hypotenuse = Length of the rope = 25 feet
The angle formed by the rope and the surface of the water = x
Hence:
cos x = 18/25
x = arc cos (18/25)
x = 43.945519562°
Approximately θ = 43.9°
The angle formed by the rope and the surface of the water is given as 43.9°
A shoe store buys a shipment of nike shoes that cost $70 each to the purchases. They want to markup their prices for the customers by 30%. How much would the customer pay for a pair of nikes
Given :
A shoe store buys a shipment of Nike shoes that cost $70 each to the purchases.
They want to markup their prices for the customers by 30%.
To Find :
How much would the customer pay for a pair of Nikes.
Solution :
C.P = $70 .
It is given that selling price is 30% more than the S.P.
So, S.P = C.P + C.P×0.30
S.P = C.P×1.30
S.P = 70×1.30
S.P = $91.
Therefore, the customer would pay $91 for a pair.
Find the value: 3/2 ÷ 5/8 (write your answer as a fraction AND as a decimal number)
Answer:
Decimal : 2.4
Fraction: 2 4/10 or 2 2/5
Step-by-step explanation:
hope this helps :) plz mark brainliest to help my rank
3 5
/ ÷ /
2 8
To solve this, the first step would be to make the reciprocal of 5 / 8 which is 8 / 5, then change the division sign to a multiplication sign.
3 8
/ x /
2 5
3 x 8 = 24
2 x 5 = 10
24 / 10 = 12 / 5 or 2 2/5
12 divided by 5 = 2.4
Ahhhh sorry i misread it the first time and flipped the wrong equation
Distributed Property
Please simplify 5(-x-4)-4
thanks
-5x2y - 3x4
What’s the answer
You have to multiply properties of exponents and simplify it
Answer: -2x(5y+6)
Step-by-step explanation:
Consider the system of equations: y=3x & y=3x+12. How many solutions does the system have?
A) One Solution
B) No Solution
C) infinite Solutions
Solve the inequality. Graph the solution.
5(9 + 4) > 15
Answer:
barely any pounts, √
Step-by-step explanation:
Which side has a length of 10 units?
Answer:
I'm not honestly for sure but i'm guessing the side G, J because it is the longest!
Hope this helps,
0Drink0Milk0
it is Gj your welcome it has to be
Can somebody help me with this thank you.
A product promoter will be working a booth at the county fair. The worker will be paid $30 for the day and an additional $2 for every person they get to sign up for a trial of their product. Write an equation that models the situation. Y represents the total amount of money earned for a day. X represents the number of people signed up for a trial of the product.
Need the answer soon!
What would the Equation be.
Answer:
I believe it is Y=30+2x
Step-by-step explanation:
Since the $30 is given no matter what, we can use it as b.
Since slope always changes, we use it as our m.
X= amount of people
2= charge per person
If there were 5 people there, the equation would look like this: y= $2(5)+$30
The dollar signs are just an aid.
Answer:
Y=2x+30
Step-by-step explanation:
The b is 30
While the slope is 2
Using y=mx+b that will be your answer.
Question 7 of 10
Determine which postulate or theorem can be used to prove
that ASEA = APEN.
A. AAS
B.SAS
C.ASA
D.SSS
Answer:
Option C
Step-by-step explanation:
From the picture attached,
Given:
SE ≅ EP
∠ESA ≅ ∠ EPN
To Prove:
ΔSEA ≅ ΔPEN
Solution:
Statements Reasons
1). SE ≅ EP 1). Given
2). ∠ESA ≅ ∠ EPN 2). Given
3). ∠SEA ≅ ∠NEP 3). Vertical angles theorem
4). ΔSEA ≅ ΔPEN 4). By ASA postulate
Therefore, Option C is the correct option.
during a field trip 60 students are put into equal sized groups,describe two ways to interpret 60divided by 5 in this context
Answer:
12 students
Step-by-step explanation:
You can just divide 60 by 5 and get the answer, or you could go the longer route and put an amount into each of the five groups until it comes up to 60, then you will have your answer of how many students are in each group.
Hope this helped mark as brainliest.
