The graph of the equation ax+3y=48 passes through the point (-3, 14). what value of A accurately completes the equation
Answers
Answer:
The value of a = -2
Step-by-step explanation:
Given the equation: ax + 3y =48 .....[1] and it is passes through the point (-3, 14).
To find the value of a which completes the equation;
Substitute the point (-3 , 14) i.e, x = -3 and y = 14 in [1] to solve for a;
or
-3a + 42 = 48
Subtract 42 from both sides we get;
-3a + 42 -42 =48 -42
Simplify:
-3a = 6
Divide both sides by -3 we get;
a = -2
Substitute this value in [1] to completes the equation:
-2x + 3y =48
therefore, the value of a = -2 accurately completes the equation -2x + 3y =48
working attached
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Is #1 correct and I need help on #2 THANKS :)
What is the multiplicative inverse of 6 + 2i?
What is the greatest common factor of 24 44 52 in prime factorizations?
Answers
first step i will divide the 1260 by numbers that I know it is divisible by (ends in 0 so it will be 10, sum of the digits is 9 so will be divisible by 3)
1260=126*10=9*14*10=3*3*2*7*2*5
i need to write the prime numbers in order
1260=2*2*3*3*5*7 is choice A
Answer:
Let’s count every 4 as 2^2, and put the negative in front of the parentheses. The result would be -(2^2*2^2*2^2*2^2*2^1*2^2*2^2*2^2*2^2*2^2*2^2*2^2*2^1), or -2^(2+2+2+2+1+2+2+2+2+2+2+2+1), or -2^12, which would be -4096.
Answers
Answer:
You can find out how many gallons your using by dividing $154 by $22 then you find you have 7 gallons you multiply 7 gallon by 340 square to get your square feet of 2,380 for your room
Answers
Answer:
rectangular is 114ft and triangular is 112ft
Step-by-step explanation:
Let the volume of a rectangular prism be VR and that of right triangular prism be VT. If The volume of the rectangular prism is 32 cubic feet more than the volume of the right triangular prism, then VR = 32 + VT
Since VR = length * width and height
VR = 6*x*3
VR = 18x ft³
Also VT = Length *width * Height/2
VT = (7 * x * 4)/2
VT = 28x/2
VT = 14xft³
Since VR = 32 + VT
18x = 32+(14x)
collect like terms
18x-14x = 32
4x = 32
divide both sides by 4
4x/4 = 32/4
x = 8
Volume of the rectangular prism = 18x
Volume of the rectangular prism = 18*8
Volume of the rectangular prism = 144ft³
Volume of the right triangular prism = 14x
Volume of the rectangular prism = 14*8
Volume of the rectangular prism = 112ft³
The volume of the rectangular prism is 144 ft³ and the volume of the triangular prism is 112 ft³.
To find the volume of each figure, we'll use the formulas for volume of a rectangular prism and volume of a right triangular prism. The volume of a rectangular prism is given by the formula V = L × W × H, where L represents the length, W represents the width, and H represents the height.
The volume of a right triangular prism is given by the formula V = (1/2) × L × W × H, where L represents the length, W represents the width, and H represents the height.
Given the information provided, we have:
- For the rectangular prism: L = 6 ft, W = x (unknown), and H = 3 ft.
- For the triangular prism: L = 7 ft, W = x (unknown), and H = 4 ft.
We are also told that the volume of the rectangular prism is 32 cubic feet more than the volume of the right triangular prism.
Let's set up the equations and solve for the volume of each figure:
Equation for the volume of the rectangular prism:
V_rectangular = L × W × H = 6 × x × 3 = 18x
Equation for the volume of the triangular prism:
V_triangular = (1/2) * L × W × H = (1/2) × 7 × x × 4 = 14x
We are given that the volume of the rectangular prism is 32 cubic feet more than the volume of the triangular prism. So, we can set up the equation: V_rectangular = V_triangular + 32
Substituting the equations for the volumes: 18x = 14x + 32
Simplifying the equation: 4x = 32
Dividing both sides by 4: x = 8
Now, we can find the volume of each figure by substituting the value of x:
Volume of the rectangular prism: V_rectangular = 18x = 18 × 8 = 144 ft³
Volume of the triangular prism: V_triangular = 14x = 14 × 8 = 112 ft³
Learn more about Prism here:
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2l + 2w ≤ 180
Answers
Perimeter:
2L + 2W < 180
2L + 2(0.5L) < 180
2L + 1L < 180
3L < 180
÷3 ÷3
L < 60
Length should be less than or equal to 60 inches while width should be greater than or equal to 30 inches.
The length, L should be less than or equal to 60 inches whereas the width, W should be greater than or equal to 30 inches.
What are inequalities?
Inequalities refers to a system of two or more quantities in which one quantity is greater than or less than the other.
Based on the data given:
W > 0.5L
Perimeter of the blanket is given as:
2L + 2W < 180
2L + 2(0.5L) < 180
2L + 1L < 180
3L < 180
L < 60
Therefore, the length, L should be less than or equal to 60 inches whereas the width, W should be greater than or equal to 30 inches.
Learn more about inequalities at: brainly.com/question/24372553
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Answers
Answer:
Step-by-step explanation:
let the number of rows=x
seats in each row=3x
so number of seats=x(3x)=3x²
3x²=675
x²=225
x=15
number of rows=15
and seats in each row=15×3=45
Answer: 15 rows with 45 seats each
Step-by-step explanation:
Let x = the number of rows, then 3x= the number of seats in a row.
seats × row= total
3x × x=675
3x²=675
x²=225
x=15
Answers
2/x = 1/x + 1/x
whatever x number you have, for example:
2/5 = 1/5 + 1/5
But then, you can express a fraction in many different ways, for example again:
2/5 = 1/5 + 1/5 = 2/10 + 2/10
= 1/10 + 1/10 + 1/10 + 1/10
so there are an infinite ways of expressing such a fraction.