Graphing & Solving Inequalities
Answer:
x ≥ 1
Step-by-step explanation:
3 + 4x ≥ 7
3 - 3 + 4x ≥ 7 - 3
4x ≥ 4
4x / 4 ≥ 4 / 4
x ≥ 1
We are painting a rectangular wall of a large room. The dimensions of the wall are 35feet long and 21.5 feet wide. If the total cost of the paint was 421.40 what was the cost in dollars of the paint rounded to the nearest cent
Answer:
56 cent per ft²
Step-by-step explanation:
Wall dimension = 35 feets * 21.5 feets
Total cost of paint used = 421.40
Area of wall = Area of rectangle = Length * width
Area of wall = 35 feets * 21.5 feets
Area of wall = 752.5 ft²
Cost of paint per square feet:
Total coast of paint / Area of wall
$421.40 / 752.5 ft²
= $0.56 per ft²
= 0.56 * 100 = 56
Solve each of these equations.
1. 2(x+5)=3x+1
2. 3y−4=6−2y
3. 3(n+2)=9(6−n)
Answer:
1. x=9
2. y=2
3. n=4
hello just helping out!
If a person is on an 1,800-calorie diet, then how many of their calories will come from fruit?
Answer:
270 calories
Step-by-step explanation:
Someone help me pls
Answer: A. 90° clockwise, E. 270° counterclockwise
How much of a radioactive kind of bromine will be left after 140 hours if the half-life is 35 hours and you start with 864 grams?
Answer:
1, Because the half-life is 6 hours, the initial amount is halved every 6 hours. Due to the total of 18 hours, the starting amount will be divided by 2 (halved) three times. You will then have one-sixth of the original amount, which is 384 grams divided by six equals 48 grams.
Step-by-step explanation:
5 x +4+=34
6y+3=45
8z - 7=57
11t-16=39
2n -6=12+4
3z+4=22???
Answer:
z=6
Step-by-step explanation:
3z +4=22.3z+4-4=22-4.3z=18.3_3=18_3
1-What is 30% of 45?
2-What is 5%of 55.2
Answer:
13.5 and 2.76
Step-by-step explanation:
Using long division to find the quotient, what changes do you first
need to make to the dividend (125x3 - 8)?
(125x3 – 8) = (5x – 2)
Answer:
[tex]\frac{125x^3 - 8}{5x - 2} = 25x^2 + 10x +4[/tex]
Step-by-step explanation:
Given
[tex]Dividend = 125x^3 - 8[/tex]
[tex]Divisor = 5x - 2[/tex]
Required
Determine the quotient
See attachment for complete process.
First, divide 125x^3 by 5x
[tex]\frac{125x^3}{5x} =25x^2[/tex]
Write [tex]25x^2[/tex] at the top
Multiply [tex]5x - 2[/tex] by [tex]25x^2[/tex]
[tex]= 125x^3 - 50x^2[/tex]
Subtract from 125x^3 - 8
i.e.
[tex]125x^3 - 8 - (125x^3 - 50x^2) = 50x^2 - 8[/tex]
Step 2:
Divide 50x^2 by 5x
[tex]\frac{50x^2}{5x} = 10x[/tex]
Write [tex]10x[/tex] at the top
Multiply [tex]5x - 2[/tex] by [tex]10x[/tex]
[tex]= 50x^2 - 20x[/tex]
Subtract from 50x^2 - 8
i.e.
[tex]50x^2 - 8 - (50x^2 - 20x) = 20x - 8[/tex]
Step 3:
Divide 20x by 5x
[tex]\frac{20x}{5x} = 4[/tex]
Write [tex]4[/tex] at the top
Multiply [tex]5x - 2[/tex] by [tex]4[/tex]
[tex]= 20x - 8[/tex]
Subtract from 20x - 8
i.e.
[tex]20x - 8 - (20x - 8) = 0[/tex]
Hence:
[tex]\frac{125x^3 - 8}{5x - 2} = 25x^2 + 10x +4[/tex]
The sum of m and 10
Twenty-four decreased by a number c
Twelve more than eight
The product of three and seven diminished by five
Six multiplied by the sum of seven and a
The quotient of y and negative five
The difference between x and y divided by three
Divide the sum of the square of a and b thrice c
Answer:
m + 10c - 248 + 12 (3×7) - 5(7 + a) × 6y ÷ (-5)(x - y) ÷ 3[tex] {(a + b)}^{2} \div 3c[/tex]Find the area.
2m
2m
3m
Answer:
5 m²
Step-by-step explanation:
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The area of Mark's laptop computer
screen is 12x2 + 3x in?. If the length is
3x, write an expression that represents
the width?
Your answer
Answer:
4x+1
Step-by-step explanation:
The area is 12x2 + 3x in
The length is 3x
Formula is A=L*B
12x2 + 3x=3x*B
Divide both side by 3x
12x2+3x divide by 3x=B
4x+1=B
The express for the width is 4x+1
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Answer:
just use the app Math-way it had a feature where you can take a picture of it and it will answer and give an explanation for your problem
Henry wanted to turn the following circle graph into a bar graph. the tallest bar in this bar graph will be represented by what part of the family budget?
A: insurance/pension
B: food
C: transportation
D: housing
1
Mrs. Wang has a bag that contains 15 pounds of sugar. For each cake she makes, she uses pound of sugar. How
5
many cakes can she make from the 15 pound bag of sugar?
F 20
75
H
5
15
1
20
Sharon Wells Mathematics Cumulum. Inc 2100-
Grade 5 So Wecks Week 1 Assessment
Answer: she can make 3 cakes with 15 pounds of sugar
Step-by-step explanation: 15÷5=3
6.
Do the following conversions:
a.2 GB = ---------------- Kb
b.
2×10 MB = ------------------- B
please answer the question fastly
Answer:
a) 2000000 kilobytes
b)20 000 000 bytes
How long is the wire that supports the tree
10
5.6 ft
3.3 ft-
WHAT DEFINES THE SOLUTION SET FOR THE INEQUALITY -X/2 +4<12 ? DUE BY 10:50
-x/2+4<12
-4 -4
-x/2<8
*2 *2
-x<16
/-1 /-1
x<-16
---
hope it helps
Ron and Freddy built structures out of snap cubes. Ron's tower had an 8-inch square base. Freddy had a 6-inch square base. If Ron's tower had a volume of 320 cubic inches and Freddy's had a volume of 180 cubic inches, Whose tower was taller? Explain your reasoning.
Answer: Ron tower's
Step-by-step explanation:
Given
Ron tower has a base of [tex]A_r=8\ in.^2[/tex]
Freddy tower has a base of [tex]A_f=6\ in.^2[/tex]
Suppose the tower is in the shape of a square prism
The volume of Ron and Freddy tower is [tex]320\ \text{and}\ 180\ in.^3[/tex]
The volume of a square-based prism is [tex]V=\frac{1}{3}a^2h[/tex]
[tex]\therefore \text{height of Ron tower is}\ h_r=\dfrac{3V}{A_r}\\\\\Rightarrow h_r=\dfrac{3\times 320}{8}=120\ in.[/tex]
The height of Freddy tower is
[tex]\Rightarrow h_f=\dfrac{3V}{A_f}\\\\\Rightarrow h_f=\dfrac{3\times 180}{6}=90\ in.[/tex]
Thus, the height of Ron's tower is more than Freddy's tower by [tex]30\ in.[/tex]
Can someone HELPPPPPP?!??!?!?
Answer:
5/5 is 1 so D is correct.
Hope this helps!
If total expenditure of firm is Rs. 1000 i). Price of labour (PL)is Rs 200. ii). |Price of capital (PK) is Rs. 100, then determine the budget line for the firm? (
Answer:
[tex]L + 2K = 200[/tex]
Step-by-step explanation:
Given
[tex]E=1000[/tex] --- Expenditure
[tex]L=200[/tex] --- Labor
[tex]K = 100[/tex] --- Capital
Required
Determine the budget line
First, we calculate the units of labor
[tex]U_1 = \frac{E}{L}[/tex]
[tex]U_1 = \frac{1000}{200}[/tex]
[tex]U_1 = 5[/tex]
Next, the units of capital
[tex]U_2 = \frac{E}{K}[/tex]
[tex]U_2 = \frac{1000}{100}[/tex]
[tex]U_2 = 10[/tex]
The budget line equation is:
[tex]U_1 * L + U_2 * K = E[/tex]
At this point, we take L and K as variables.
So, the equation becomes
[tex]5* L + 10* K = 1000[/tex]
[tex]5 L + 10K = 1000[/tex]
Divide through by 5
[tex]L + 2K = 200[/tex] -- Budget line equation
how many movie tickets can you buy with $42 if one ticket costs $6 (include equation)
1=6
x=42
cross multiply
x=7
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Does anyone know how to do this?
Answer:
1)X+4=2x-17+10
X. =2x-7-4
11=X
DF=11+4
=15
2)FH~
11x+71=12x+32
12x-11x =71-32
X=39
FH=(11×39)+71+(12×39)+32
=1000
3)57+39+8x-12=180
8x+84-84=180-84
8x=96
X=12
4)11x+2=68
11x=66
X=6
5)114+X+37+X=139
2x+151. -151=139-151
X=-6
Answer:
1. x=11
2. x=39
3. x= 12
4. x=6
5. x=-6
Step-by-step explanation:
1. x+4= 10+2x-17
FG=GH
x+4=2x-7
11=x
2. 11x+71=12x+32
subtract from both sides
39=x
3. All angles of a triangle add to 180.
39+57+(8x-12)=180
96+(8x-12)=180
8x-12=84
8x=72
divide both sides by 8
x=9
4. Vertical angles are equal
68=11x+2
66=11x
divide
6=x
5. (114+x)+(37+x)=139
Add like terms
151+2x=139
subtract
2x=-12
x=-6
answer fast please
Calculate the slope of the line going through A(-4,3) and B(0,6)
Answer:
[tex] \frac{3}{4} [/tex]
Step-by-step explanation:
[tex]m = \frac{y2 - y1}{x2 - x1} [/tex]
[tex]m = \frac{6 - 3}{0 - ( - 4)} [/tex]
[tex]m = \frac{6 - 3}{0 + 4} [/tex]
[tex]m = \frac{3}{4} [/tex]
Reina scored twice as many goals at her last field hockey game as she did during the first game of the season. If ff represents the number of goals Reina scored during the first game, which expression represents the number of goals she scored during the last game?
And pls dont say that u put the answer somewhere esle
Answer:2-f
Step-by-step explanation:
Tomiko has a 1:24 scale drawing of her house. In the drawing the dimensions of the rectangular kitchen are 5 3/4 inches by 4 1/4 inches. What is the area, to the nearest square foot of Tomiko's actual kitchen?
Answer: 9 4/4 or 10 whole
Step-by-step explanation:
2 × 10^12 red blood cells have a total mass of 90 grams.
Work out the average mass of 1 red blood cell.
Give your answer in standard form.
Answer:
2×10¹² cells → 90 g
mass of 1 red blood cell : 90÷(2×10¹²) = 45×10^-12 g = 4.5×10^-11 g
Find the perimeter and the area of the figure.
6 cm
7 cm
9.5 cm
6.5 cm
The perimeter and the area of the composite figure are 29 centimeters and 49.5 square centimeters, respectively.
How to determine the perimeter and the area of the figure
In this problem we have the representation of a composite figure, the result of the combination of a rectangle and a triangle. The perimeter of the figure is the sum of the sides and the area of the composite figure is the result of suming the areas of the rectangle and triangle:
Rectangle
A = b · h
Triangle
A = 0.5 · b · h
Where:
b - Baseh - HeightA - AreaAnd the perimeter and the area of the composite figure are now computed:
Perimeter
p = 6 cm + 7 cm + 6.5 cm + 9.5 cm
p = 29 cm
Area
A = 0.5 · (6 cm) · (2.5 cm) + (6 cm) · (7 cm)
A = 7.5 cm² + 42 cm²
A = 49.5 cm²
To learn more on composite figures: https://brainly.com/question/23082031
#SPJ1
Find the value of x. Then find the measure of each interior angle. Show work algebraically
Answer:
Step-by-step explanation:
W=180-144
W=36 degrees
The sum of angles in a triangle always sum to 180 degrees.
6x+1+7x+36=180
13x+37=180
13x=143
x=11
U=6x+1
U=6(11)+1=67 degrees
V=7x
V=7(11)=77 degrees so
x=11 degrees, U=67 degrees, V=77 degrees, and W=36 degrees.