Answer:
The length of the first piece is 0.51 m
The length of the second piece is 0.31 m
The length of the third piece is 0.28 m
Step-by-step explanation:
The question is a simultaneous equation with word problem
The total length of the wood = 0.9 m
The number of pieces the wood is cut into = 3
The length of the first piece = 0.2 m + The length of the second piece
The length of the third piece = The length of the second piece - 0.23 m
Let "y" represent the length of the second piece, let "x" represent the length of the first piece, and let "z" represent the length of the third piece, we have;
x = 0.2 + y...(1)
z = y - 0.23...(2)
x + y + z = 0.9...(3)
Therefore, by substitution, we have;
0.2 + y + y + y - 0.23 = 0.9
3·y - 0.03 = 0.9
3·y = 0.9 + 0.03 = 0.93
y = 0.93/3 = 0.31
y = 0.31
The length of the second piece = y = 0.31 m
From equation (1), we have;
x = 0.2 + y = 0.2 + 0.31 = 0.51
x = 0.51
The length of the first piece = x = 0.51 m
From equation (2), we have;
z = y - 0.23
z = 0.51 - 0.23 = 0.28
z = 0.28
The length of the third piece = z = 0.28 m.
1. For each statement below, mark if it's TRUE or FALSE.
Answer:
1 is True 2 is False 3 is False 4 is True 5 is False
Step-by-step explanation:
Which expression can you simplify by combining like terms?
6d2+5cd−3dc+8
12c2−8d2c+3dc+4
7d2−3c2+6d−c
16c2+8cd+7c−8d
Answer:
[tex]6 {d}^{2} + 5cd - 3dc + 8[/tex]
Step-by-step explanation:
b/c we can substructure 5cd and 3dc b/c it doesn't matter if the place of cd and dc change. what I mean if 5 ×3=15 and it is the same with 3×5=15 both of the product are the same but, if it is - and ÷ it wil be wrong for example 5-3=2 but 3-5= -2
if is helpful ❤❤
THANK YOU
Please help me thanks please
Answer:
1200 cubic units
Step-by-step explanation:
If you split the shape into two parts, you can find the volume of each and solve. For the first part, you do 10x8x6 to get 480. For the second part you do 12x10x6 to get 720. Add 480+720 to get 1200.
Hope it helps!
is 6z-2z+4=4+2z+6z equivalent
Answer:
Step-by-step explanation:
0
Answer:
Yes
Step-by-step explanation:
Lol
Are x+2 (7-x) and x+20-3x equivalent?
Answer:
No
Step-by-step explanation:
Kamilah noticed that three different-sized boxes of the same cookies were on sale at a grocery store. The 0.425 kg box was on sale for $3.59, the 0.74 kg box was on sale for $4.88, and the 0.95 kg box was on sale for $7.29. Which box of cookies was the best buy? Explain your reasoning. To get you started: 3.59 : 0.425 1kg/ 0.425kg= 2.35 0.425 x 2.35= 1kg $3.59 x 2.35= $8.44 3.59 : 0.425 -> $8.44 : 1kg
Answer:
The best buy is the 0.74 kg box
Step-by-step explanation:
Kamilah noticed that three different-sized boxes of the same cookies were on sale at a grocery store.
We find the unit price for 1 box
a) The 0.425 kg box was on sale for $3.59
= 1 kg = $3.25/0.425
= $7.6470588235
b) the 0.74 kg box was on sale for $4.88,
1 kg = $4.88/0.7$
= $6.5945945946
c) the 0.95 kg box was on sale for $7.29.
1 kg = $7.29/0.95
= $7.6736842105
Which box of cookies was the best buy?
The best buy is the 0.74kg box because 1kg of this box has a lesser price compared to the others.
In this hanger, the weight of the triangle is x and the weight of the square is y.
Answer:
y = 4
Step-by-step explanation:
4y 1x
3x 1y
1x=6
18
6+16 =22
18+4= 22
Solving Inequalities, HELP PLEASE.!!
Answer:
Group 1. x>-2
Group 2.x≥-2
Group 3.x<-2
Group 4.x≤-2
Plz help
Suppose y varies directly with x, and y = 13 when x = 4. What direct variation equation relates x and y? What is the value of y when x = –6?
Answer:
direct variation equation: y = 13/4x
y = -19.5 when x = -6
Step-by-step explanation:
y = kx where 'k' is the constant to proportionality
13 = 4k
k = 13/4
equation: y = 13/4x
plug in -6 for 'x' to find value of 'y'
y = 13/4(-6)
y = -19 1/2
Determine the domain of this graph
Answer:
Domain: (-1, 7)
Step-by-step explanation:
Your x-values are your domain and your y-values are your range. In this case, the function ranges from -1 to 7.
Write an equation of the line that passes through the given point and has the given slope. (4, 2); slope 1/2
Answer:
y = 1/2x
Step-by-step explanation:
Substitute the given information into the equation y = mx + b
Your goal is to find what b is
Obviously, the point given --> (4, 2) is the x and y.
The m is the slope (1/2)
Work down below!
A student has a container with a volume of 0.5 liter. He estimates the volume to be 0.4 liter. By what percent is the student's estimate off?
Answer:
20
Step-by-step explanation:
0.5-0.4=0.1,0.1/0.5×100= 20
The students's estimation is 80%.
What is a percentage?A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.
Given that a student has a container with a volume of 0.5 liter.
He estimates the volume to be 0.4 liter.
Now to find the percentage of estimation,
estimated volume = correct volume × required percentage / 100
0.4 = 0.5 × required percentage / 100
Required percentage = 0.4 × 100 / 0.5
Required percentage = 0.4 × 100 / 0.5
Required percentage = 80%
Therefore, the students's estimation is 80%.
To learn more about the percentage;
https://brainly.com/question/24159063
#SPJ2
The neon lights on the dance club sign blink 240 times in 2 minutes. How many times does the neon sign blink in 10 minutes?
Answer:
it blinks 1,200 times
Step-by-step explanation:
Calculate |m| if m=21-72i. Round off answer to nearest hundred
Answer:
n6666667900087474455
plz help me out with this
Answer:
B and a great deal on a spring break and a good time to get answer for the spread of Islam in the Horn of the following elements has your examination and your
Is this a proportional relationship?
please help with this.
Answer:
I don't know how sorry àaaaaaaaaaaaaàaàaaaaaàaaà
The total cost of a pizza and 3 drinks is $19. The price of the pizza is $10 and each drink is the same price, d.
Answer:
each of the drinks are $3
Step-by-step explanation:
Answer: 10 d d d / 19
D = 3
Step-by-step explanation:
The Invisible Hand promotes
A. marketplace inflation
B. marketplace competition
C. marketplace monopolies
D. marketplace shortages
Mrs.Walker would like to give each of her 32 students no less than three stickers. How many stickers must she have
Answer:
Mrs. Walker will need at least 96 stickers in order to give each of her students at least 3 stickers each.
Step-by-step explanation:
32*3=96.
96 is the minimum
maria pays 15.20 for 5.3 pounds of candy what is the price per pound of candy
Answer:
$2.90 per pound
Step-by-step explanation:
You must divide the total from the amount bought.
15.20/5.3 = 2.8679245283
Next, you round the number by the first 2 decimals.
2.86 = 2.90 - The answer
Check if you need to make sure the answer is correct
Write an equation for the nth term of the following arithmetic sequence. 30, 26, 22, 18, . . . (WILL GIVE BRAINLEST)
The diameter of a circle measures 26 yd. What is the circumference of the circle?
Use 3.14 for it, and do not round your answer. Be sure to include the correct unit in your answer.
0
26 yd
Answer:
26 times 3.14=81.64
Step-by-step explanation:
Johnny and Mark's combined age is 26 years old. Johnny is two years older than twice Mark's age. Write a system of equations and solve for each of their ages
m * 2 + 2 = j
Answer:
Mark is 8
Johnny is 18
Step-by-step explanation:
m * 2 = j - 2
26 - 2 = 24
24 / 3 = 8
8 * 2 + 2 = 18
find the equation of the line shown
Answer:
[tex]y = - 1x + 9[/tex]
Step-by-step explanation:
Remmeber:
[tex]Slope = \frac{rise}{run} [/tex]
r+11=5
what is r? in order to get 5
Answer:
6 lol
Step-by-step explanation:
Answer:
r = -6
Step-by-step explanation:
r + 11 = 5 which is also 5 - 11 = r
So, r = -6
-3w-4=3+3
w=?????????
Answer:
-3.33333
Step-by-step explanation:
-3w - 4 = 3 + 3
Combine like terms
-3w - 4 = 6
Add 4 on both sides
-3w - 4 + 4 = 6 + 4
-3w = 10
Divide by -1 to isolate the variable
-3w/-3 = 10/-3
w = - 3.33333 ( the 3 keeps repeating)
A flagpole casts a shadow of 25.5 meters long. Tim stands at a distance of 15.4 meters from the base of the flagpole, such that the end of Tim's shadow meets the end of the flagpole's shadow. If Tim is 2.3 meters tall, determine and state the height of the flagpole to the nearest tenth of a meter.
Answer:
5.8 meters
Step-by-step explanation:
The formula to calculate this is given as:
Height/ Shadow
Shadow of the pole = 25.5 m
Height of the pole = x m
Tim's shadow = Height of the pole - Tim's distance
25.5 m - 15.4 m = 10.1 m
Tim's height = 2.3 m
Hence:
x/25.5 = 2.3/10.1
Cross Multiply
10.1x = 25.5 × 2.3
x = 25.5 × 2.3/10.1
x = 5.8069306931 m
Approximately = 5.8m
Hence, the height of the flagpole = 5.8m
What is the y-intercept?
(0, 8)
(8, 0)
2/1
4/1
Answer:
8 and 0
Step-by-step explanation:
Two fair dice are rolled. What is the probability of rolling:(a)double 6 (b)double 3(c) one dice 5, the other dice 6(d) a total of 10(e) a total of 3 or less