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lana66690 [7]
3 years ago
6

Which ordered pair will solve the equation 2 × 4 + x = y?

Mathematics
1 answer:
Bezzdna [24]3 years ago
5 0
This answer uses NMF, which you can find out about on my profile:

Preliminary work:
Following the BIDMAS order of operations, we can calculate part of it already, and that's the 2•4, which equals 8.
Therefore, the equation now reads:
8+x = y

x = 5:
8+5 = 13
13 ≠ 16
13 ≠ y

x = 4:
8+4 = 12
12 = 12
12 = y

Therefore, the pair is (4, 12)
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Yochanan walked from home to the bus stop at an average speed of 5 km / h. He immediately got on his school bus and traveled at
kari74 [83]

Answer: 5 km walking and 30 km by bus

Step-by-step explanation:

Yochanan walked from home to the bus stop at an average speed of 5 km / h. He immediately got on his school bus and traveled at an average speed of 60 km / h until he got to school. The total distance from his home to school is 35 km, and the entire trip took 1.5 hours. How many km did Yochanan cover by walking and how many did he cover by travelling on the bus?

walking - 5km/h                                         bus - 60km/h

distance walking - d₁                                 distance bus - d₂

time walking - t₁                                         time bus - t₂

d₁ + d₂ = 35

t₁ + t₂ = 1.5

v = d/t

vwalking = d₁/t₁

5 = d₁/t₁ ⇒ d₁ = 5t₁

vbus = d₂/t₂

60 = d₂/t₂ ⇒ d₂ = 60t₂

d₁ + d₂ = 35 ⇒ 5t₁ + 60t₂ = 35

_________________________

5t₁ + 60t₂ = 35

t₁ + t₂ = 1.5  (*-5)

5t₁ + 60t₂ = 35

-5t₁ -5t₂ = -7.5   (+)

__________________________

55t₂ = 27.5

t₂ = 27.5/55 = 0.5 h

t₁ + t₂ = 1.5 ⇒ t₁ = 1.5 - 0.5 = 1h

d₁ = 5t₁ ⇒ d₁ = 5.1 = 5 km

d₂ = 60t₂ ⇒ d₂ = 30.0.5 = 30 km

6 0
2 years ago
9. In the diagram below, Angle A is 50 degrees. What is angle B?
maw [93]

Answer:

130

Step-by-step explanation:

Angle B = 180 - Angle A

180 - 50 = 130

4 0
2 years ago
Read 2 more answers
A game normally cost $53.00, but Isabel used a coupon and got the game for $37.10. The coupon was for what percent off.
Artist 52 [7]
We could use the numbers and the difference of the original cost - the end price in a equation.

53 × x/100 = 15.9

Cross multiply 100 × 15.9.

53x=1590

Divide both sides by 53.

x=30

The coupon was 30%
5 0
3 years ago
Read 2 more answers
Find the slope of the line that passes through (8,7) &(3,6
saveliy_v [14]

Answer:

1/5

Step-by-step explanation:

slope= (y2 - y1)/(x2 - x1) = (7-6)/(8-3) = 1/5

8 0
3 years ago
What is the solution to 3|–3x 9| = –18? x = –5 x = 5 or x = 1 x = –5 or x = 1 no solution
alexdok [17]

Answer:

81

Step-by-step explanation:

that is the solution above

6 0
2 years ago
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