A 32 ft board is cut into three pieces at a sawmill. The second piece is 5 ft longer than the first and the third piece is 1 ft longer than the second.
What are the lengths of the three pieces?
Answer:
The first piece is 7 ft long, the second piece is 12 ft long, and the third piece is 13 ft long
Step-by-step explanation:
Let x represent the length of the first piece.
Since the second piece is 5 ft longer than the first, it can be represented by x + 5
Since the third piece is 1 ft longer than the second, it can be represented by x + 6
Create an equation that adds all of these terms up to 32, and solve for x
(x) + (x + 5) + (x + 6) = 32
3x + 11 = 32
3x = 21
x = 7
So, the first piece is 7 ft long.
Using the expressions we created, solve for the lengths of the second and third pieces.
x + 5
7 + 5 = 12
x + 6
7 + 6 = 13
The first piece is 7 ft long, the second piece is 12 ft long, and the third piece is 13 ft long
Determine which point is part of the solution set to the following
system of inequalities: f(x) < x + 4; f(x) > - X-3; and f(x) < 5.
(0,0)
(-60)
(-3, 4)
(4,6)
Find the quotient of 376 divided by 4
Answer:
94
Step-by-step explanation:
I WILL MARK BRAINLIEST The account balance of each of three children at the end of a month is shown below: Kyle has -52.25 Jason has -52.00 Sue has as much savings in her account as the amount Kyle owes the bank. Part A: On a blank paper, draw a number line from -4 to +4. Plot points on the number line to show the account balances of the three children Label the points using the name of each of each child . describe in detail how you created and labeled this number line,and what it looks like in detail Part B: Determine whether Kyle or Jason owes the bank more Use absolute values and inequalities to write statements that justify your conclusion (5 points)
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Answer:
see attached
Step-by-step explanation:
Given:
Kyle's balance is -$2.25
Jason's balance is -$2.00
Sue's balance is: $2.25
Required:
A: plot and label the points on a number line from -4 to +4
describe how you did it
B: determine who owes more
Solution:
Part A: For the attached plot, we used the Desmos graphing calculator utility, giving it the points (-2.25, 0), (-2.00, 0), and (2.25, 0) to plot on x-y coordinates. The y-axis and minor grid lines are suppressed in order to better approximate a number line. The "label" facility is utilized to attach labels to the points.
Part B: Balances are owed to the bank when the balance is negative. The more negative it is, the more is owed. Kyle's point is farthest to the left on the number line (and is left of 0), so Kyle owes more. The ordering is ...
-2.25 < -2.00 < 0
where |-2.25| > |-2.00|. The number -2.25 is Kyle's balance, so he owes more.
Hello! The girl above me is correct :)
If p varies jointly as q and r, and p = 150 when q = 18 and r = 5, find q when p = 345 and r = 9.
Answer:
Step-by-step explanation:
P varies jointly as q and r
p=k* q r
150 =k *(18)(5)
150 = k*(90)
150/90 = k
5/3 = k
find q when p=345 and r =9
p=k* q r
345 = (5/3) * q *9
345 = 45 q / 3
1035 = 45 q
q=23
The required value of the q in the proportionality relationship is given as q = 23.
Given that,
p varies jointly as q and r, and p = 150 when q = 18 and r = 5, find q when p = 345 and r = 9.
What is proportionality?proportionality is defined as between two or more sets of values, and how these values are related to each other in the sense are they directly proportional or inversely proportional to each other.
P varies jointly as q and r
p =k × q r - - - - - (1)
150 =k × 18× 5
k = 5 / 3
Put k = 5/3, p = 345 and r = 9 in equation 1
345 = (5/3) × q ×9
q = 23
The required value of the q in the proportionality relationship is given as q = 23.
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A company that makes hair-care products had 4,000 people try a new shampoo. Of the 4,000 people, 16 had a mild allergic reaction. What percent of the people had a mild allergic reaction?
Answer:
0.4% or in decimal form 0.004
Step-by-step explanation:
took the test and got it right!
evaluate: (_1_i)^(5/3)
Answer:
(
1
)
(
5
/
3
)
Step-by-step explanation:
inasmuch as 76543 is greater than 43765 help pleace
Answer:
32778
Step-by-step explanation:
76543-43765=32778
Sam made a model of the Liberty Bell with a
base circumference of 8 inches. If the base
crcumference of the actual Liberty Bell is 12
feet, what scale did he use?
Answer:
1 : 18
Step-by-step explanation:
When finding scale factor, both measurements should in same unit
Circumference of the model bell = 8 inches
1 feet = 12 inches
12 feet = 12 * 12 = 144 inches
Circumference of the actual bell = 12feet = 144 inches
Model : Actual = 8 : 144
= 8÷8 : 144÷8
= 1 : 18
What is the median for the set of data 3.5 1 3 4
Answer:
3.5
Step-by-step explanation:
Test Scores
1, 1, 2, 3, 3, 4, 4, 5, 5, 5
median(middle #)
(3+4)/2 = 7/2 = 3.5
Answer:
3.5
Step-by-step explanation:
What is the volume, in cubic centimeters, of a cube with an edge length of 15 centimeters?
Answer:
3375cm
Step-by-step explanation:
because it is asking for volume it is cubed
wich 15 x 15 x 15 3 times equals volume of cube hope that makes sense
Order the numbers from least to greatest!
Answer:
edcafgb
Step-by-step explanation:
-2 1/2 = -5/2 < -2 < -1.75 < -1 < 1.75 < 9/4
*-2 1/2 and -5/2 are the same.
what is a square unit
Answer:
A square unit is a small area of a square used to find a total.
Step-by-step explanation:
A picture of Margo's garden is shown below. It is made of 2 rectangular prisms. She wants to
-10 feet -
1 foot
3 feet
7 feet
3 feet
7 feet
2 feet
09 cubic feet
O 10 cubic feet
0 98 cubic feet
0 107 cubic feet
The Volume of dirt required for the Margo's garden which is made of 2 rectangular prisms is, 107 cubic feet, So option D is correct
What is Volume?In mathematics, Space occupied by three dimensional objects is called Volume. Basically it is a space within closed region of every three dimensional objects.
In given problem, we have two rectangular prisms
One has sides (1 feet, 3 feet, 3 feet)
Another one has sides (2 feet, 7 feet, 7 feet)
Volume of a rectangular prism = Length×Height×Width
Volume of a rectangular prism 1 = 3×1×3 = 9
Volume of a rectangular prism 2 = 7×2×7 = 98
Total Volume = 107
Hence, Total dirt required 107 cubic feet
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Please help me (>^ <)
-Solving Equations with variables on both sides
Answer:
1) x = -1
2) x = 11
3) x = -3
4) x = -14
5) x = -7
6) x = 5
7) x = 12
8) x = -4
Step-by-step explanation:
use the photomath app
Given the graph below, which of the following statements is true?
Answer:
A. the graph represent a one - to - one function because every x-value is paired with only y-value
Step-by-step explanation:
that's it
is anyone good with Vertex Angles? i need help
Answer:
t=5
Step-by-step explanation:
Vertical angles are congruent
So we put the value equivalent to each other
110=4t+90
Isolate t
110=4t+90
-90 -90
20=4t
Divide to isolate t
20/4=4t/4
5=t
what is 81 divided by 9
Answer:
9
Step-by-step explanation:
9
9x9 = 81
Therefore, 81 ÷ 9 is 9
What does MIJ equal ?
Pls help 10 ptsssssssssssss
NO LINKS
Answer: If m=2, then 28 divided by 2 equals 14. Plug m into the equation.
Find the measurement of the angle labeled X
PLEASE IM REALLY BAD AT THESE QUICK!!!!!!!!!!!!!
Answer:
b.
42+x+90+8=180° linear pair
x=180-140=40°
x=40°
c.
10+x+90+3x=180 linear pair
4x=180-100
x=80/4=20
x=20°
I need help on homework its due tomorrow
Find the diameter of the circle with the given circumference. Use 3.14 for π(PI). C=22 cm
Find the area of the shape shown below. 2 4 1. 2 2 2 2 units
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Answer:
10 square units
Step-by-step explanation:
The shape is a trapezoid with bases of 2 units and 8 units. Its height is 2 units, so its area is ...
A = 1/2(b1 +b2)h
A = (1/2)(2 +8)(2) = 10
The area of the shape is 10 square units.
What is the volume of a hemisphere with a radius of 9.8 in, rounded to the nearest tenth of a cubic inch?
Answer:
the volume of the hemisphere is 1970.2 cubic inches.
Step-by-step explanation:
The given is,
Radius of hemisphere is 9.8 inches.
Step:1
Formula of volume of hemisphere is,
..................(1)
Where,
r - Radius of hemisphere
Step:2
From the given,
r = 9.8 inches
Equation (1) becomes,
=
=
= (0.66666666)(3.1415)(942.192)
= 1971.23
Volume of hemisphere = 1971.23 cubic inches
Result:is 1970.2 cubic inches.
Answer:
1971.2
Step-by-step explanation:
I just did it and got it right, it's not 1970.2, trust me
What is the value of the following
expression when d=2?
3d + (2.d)-4
Answer:
6
Step-by-step explanation:
I used a calculator and the answer is 6
Line u has a slope of Line v is parallel to line u. What is the slope of line v? v יל Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
I have no idea what the answer is because I am in 6th grade but good luck
Step-by-step explanation:
I don't know
Please help givin brainliest
Answer:
Answer H
Step-by-step explanation:
Simplify.
Remove all perfect squares from inside the square root. Assume x is positive.
√ 20x^8
Write the proportion.
8.5 hours is to 3.4 hours as
7.0 hours is to 2.8 hours?