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telo118 [61]
3 years ago
13

Could someone help me do this using substitution I need to know how to do this for math

Mathematics
2 answers:
wariber [46]3 years ago
8 0
Set them equal to each other
gtnhenbr [62]3 years ago
5 0
Since both equations are equal to x, y-7 = 2 - 8y
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Es of two children are 11 and 8 years.
nikdorinn [45]

Answer:

<em>In 5 years the product of their ages will be 208</em>

Step-by-step explanation:

The age of two children is 11 and 8 years.

Let's call x the number of years ahead.

We need to find when the product of their future ages is 208. The 11 years old child will be 11+x years old and the other child will be 8+x years, thus:

(11+x)(8+x)=208

Operating:

88+11x+8x+x^2=208

Simplifying:

x^2+19x-120=0

Factoring:

(x-5)(x+24)=0

Solving:

x=5, x=-24

The negative solution is not valid, thus x=5

In 5 years the product of their ages will be 208

3 0
2 years ago
Find P(4).<br> A 1/8<br> B 1/4<br> C 1/2
olga nikolaevna [1]
The correct answer would be A. There is only a 1/8th percent chance of the spinner landing on 4.
4 0
3 years ago
At 9:00 on Saturday morning, two bicyclists heading in opposite directions pass each other on a bicycle path.The bicyclist headi
gizmo_the_mogwai [7]
----------------------------------------------------------------------------------------------
Find the duration
----------------------------------------------------------------------------------------------
Time : 9:00am to 10:15am 
Duration: 1hour 15 mins or 1.25hours

----------------------------------------------------------------------------------------------
Find difference in distance travelled between the two cyclists.
----------------------------------------------------------------------------------------------
Difference in speed = 6km/h
1 hour = 6 km
1.25 hours = 7.5km

----------------------------------------------------------------------------------------------
Find the distance the cyclist traveled
----------------------------------------------------------------------------------------------
42.5 - 7.5 = 35km
35km ÷ 2 = 17.5km

The slower cyclist traveled 17.5 km in the 1.25 hours

17.5 + 7.5 = 25 km

The faster cyclist traveled 25km in the 1.25 hours

----------------------------------------------------------------------------------------------
Find the speed of the slower cyclist
----------------------------------------------------------------------------------------------
1.25 hour = 17.5 km
1 hour = 17.25 ÷ 1.25
1 hour = 14km

The cyclist was traveling at 14km/h

----------------------------------------------------------------------------------------------
Find the speed of the faster cyclist
----------------------------------------------------------------------------------------------
1.25 hour = 25km
1 hour = 25 ÷ 1.25
1hour = 20 km

The cyclist was traveling at 20km/hour

----------------------------------------------------------------------------------------------
Answer: The speed were 14km/h and 20 km/h
----------------------------------------------------------------------------------------------

8 0
3 years ago
Read 2 more answers
The value of y is directly proportional to the value of x. If y = 180 when x = 50, the value of y when x = 25?​
Triss [41]

Answer: y = 90

Step-by-step explanation:

Since x and y are proportional, when x =25 (which is 50 divided by 2), y would be 90 since 90 is 180 divided by 2.

8 0
3 years ago
Read 2 more answers
Use trigonometric identities to solve the trigonometric equation sin(2∅)-cos(∅)=0 for 0≤∅≤2π. You must show all of your work ana
SOVA2 [1]

Step-by-step explanation:

sin(2x) = 2sin(x)cos(x)

2sin(x)cos(x) - cos(x) = 0

so one solution is cos(x) = 0.

=> x = pi/2 and 3pi/2 (90° and 270°)

for cos(x) <> 0 we have then

2sin(x) - 1 = 0

2sin(x) = 1

sin(x) = 1/2

=> x = pi/6 and 5pi/6 (30° and 150°)

3 0
2 years ago
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