Answer: 5 benches and 23 students
Step-by-step explanation:
I will answer in English.
We have E students and B benches.
If we sit 4 students per bench, we have 3 students left.
then:
E = 4*B + 3
And if we sit 5 students per bench, there are two places with no students sited.
E = 5*B - 2
now we can replace the E in the second equation with the right part in the first equation:
4*B + 3 = 5*B - 2
3 + 2 = 5*B - 4*B
5 = B
So we have 5 benches, and:
E = 4*5 + 3 = 23 students.
Answer:
B
Step-by-step explanation:
lets start off by looking at point A (1,1)
4 units to the right is along the x-axis, so the x-coordinate would be 5 (1 + 4)
2 units up is on the y-axis, so the y-coordinate would be 3 (1 + 2)
A is now (5,3). we can eliminate choices A, C, and D as they each have negative numbers in them, and we are moving in the positive direction, not the negative.
the answer is B
Answer:
see explanation and attachment
Step-by-step explanation:
(1) y = -x + 2
so slope is -1 and y-intercept is (0,2)
(2) 2x - y = 7
y = 2x - 7
so slope is 2 and y-intercept is (0,-7)
<h3>We'll be using...</h3>
To find the volume, you use a simple formula. And that formula is L×W×H.
To find the surface area, you need to find the area of each piece and add it up later in the end.
<h3 />
<em>75.</em>
L=3 cm, W=1 cm, H=3 cm ... We'll be using.
<em>Volume</em>
To solve the volume, you need to use the formula. 3×1×3.
3×1×3 ... Equation
3×3 ... Step 2
9 ... Answer
<em>Surface area</em>
(3×3)2 ... Multiply by 2 since there is only 2 3×3 piece
36+((3×1)4) ... Step 2
18+12... Step 3
30 ... Answer.
So for number <em>75, </em>volume = 9 cm³ and SA = 30 cm²
<em>76.</em>
L=6 ft, W=2 ft, H=5 ft
<em>Volume</em>
6×2×5 ... Step 1
12×5 ... Step 2
60 ... Answer
<em>Surface area</em>
(6×5)2 ... Step 1
(2×5)2 ... Step 2
(6×2)2 ... Step 3
60+20+24 ... Step 4
104 ... Answer
So, for number <em>76, </em>volume = 60 cm³, SA = 104 cm²
77.
L=4 m, W=2 m, H=6 m
<em>Volume </em>
4×2×6 ... Step 1
8×6 ... Step 2
48 ... Answer
<em>Surface Area</em>
(4×2)2 ... Step 1
(2×6)2 ... Step 2
(4×6)2 ... Step 3
16+24+48 ... Step 4
40+48 ... Step 5
88 ... Answer
So, for 77, Volume = 48 m³ and SA = 88 m²
