Answer:
1 only
Step-by-step explanation:
because it talks about a coin and a dice and the rest is about cards
The solution to the systems of equations is (7, 3)
Given the systems of equations expressed as:
-x + 4y = 5 ....................1
x - 5y = -2 ...................... 2
Add both equations to have:
-x+x + 4y - 5y = 5 - 2
4y-5y = -3
-y = -3
y = 3
Substitute y = 3 into equation 1:
-x + 4(3) = 5
-x + 12 = 5
-x = 5 - 12
-x = -7
x = 7
Hence the solution to the systems of equations is (7, 3)
Learn more on simultaneous equations here: brainly.com/question/148035
Answer:
252m^3
Step-by-step explanation:
A solid having a triangular base is what we call a triangular prism. For every prism, its volume is always equal to the area of its base times its height. In other words:
V = AxH
V - volume
A- area
H - height of prism
We know that:
h = 4 m (side of base)
b = 14 (other base side)
A = bh/2 = 14x4/2 = 28 m^2
And then: V = A x H = 28 x 9 = 252 m^3
<u>Complete Question:</u>
Janeel has a 10 inch by 12 inch photograph. She wants to scan the photograph, then reduce the results by the same amount in each dimension to post on her Web site. Janeel wants the area of the image to be one eight of the original photograph. Write an equation to represent the area of the reduced image. Find the dimensions of the reduced image.
<u>Correct Answer:</u>
A)
B) Dimensions are : Length = 10-x = 3 inch , Breadth = 12-x = 5 inch
<u>Step-by-step explanation:</u>
a. Write an equation to represent the area of the reduced image.
Let the reduced dimensions is by x , So the new dimensions are
According to question , Area of new image is :
⇒
⇒
⇒
So the equation will be :
⇒
b. Find the dimensions of the reduced image
Let's solve :
⇒
⇒
⇒
By Quadratic formula :
⇒
⇒
⇒
⇒
x = 15 is rejected ! as 15 > 10 ! Side can't be negative
⇒
Therefore, Dimensions are : Length = 10-x = 3 inch , Breadth = 12-x = 5 inch
Answer:
(22•5a3b4)
Step-by-step explanation:
STEP
1
:
Equation at the end of step 1
4ab • (5a2 • b3)
STEP
2
:
Multiplying exponential expressions :
2.1 a1 multiplied by a2 = a(1 + 2) = a3
Multiplying exponential expressions :
2.2 b1 multiplied by b3 = b(1 + 3) = b4
Final result :
(22•5a3b4)