All categories

4 years ago

If 8y - 8=24 find the value of 2y

Mathematics

1 answer:

Mariulka [41]4 years ago

4 0

Answer:

2y =8

Step-by-step explanation:

$8y - 8 = 24$

First let's find the value of y

Collect like terms and simplify ;

$8y = 24 + 8 \\ 8y = 32$

Divide both sides of the equation by 8

$\frac{8y}{8} = \frac{32}{8}$

Simplify

$y = 4$

Substitute 4 for y into 2y

$2y \\ = 2(4) \\ = 4 \times 2 = 8$

You might be interested in

The equation of a line is y = -4x + 10 What is the y-intercept of the line

Vikentia [17]

Answer:

Step-by-step explanation:

the formula y = mx +c

the y is obviously, y.

m, also means the gradient has a value of -4

c is the y-intercept, so the value of c is 10.

4 0

2 years ago

On his outward journey, Ali travelled at a speed of s km/h for 2.5 hours. On his return journey, he increased his speed by 4 km/

den301095 [7]

Answer:

3.08 km/h.

Step-by-step explanation:

We know that,

$Speed=\dfrac{Distance}{Time}$

Ali traveled at a speed of s km/h for 2.5 hours.

Let d be the distance and t be the time.

$2.5=\dfrac{d}{t}$

$2.5t=d$ ...(1)

On his return journey, he increased his speed by 4 km/h and saved 15 minutes. So, distance is d and times is t-15.

$4=\dfrac{d}{t-15}$

$4(t-15)=d$ ...(2)

From (1) and (2), we get

$4(t-15)=2.5t$

$4t-60-2.5t=0$

$1.5t=60$

$t=40$

Put t=40 in (1).

$d=2.5(40)=100$

So, t=40 and d=100.

Now,

Total distance = d + d = 100 + 100 = 200

Total time = t + t - 15 = 40 + 40 - 15 = 65

So, the average speed is

$\text{Average speed}=\dfrac{\text{Total distance}}{\text{Total time}}$

$\text{Average speed}=\dfrac{200}{65}$

$\text{Average speed}\approx 3.08$

Therefore, the average speed is 3.08 km/h.

3 0

4 years ago

18 football teams who play each other twice. how many matches are played

tekilochka [14]

Answer:

Total number of matches = 306 matches

Step-by-step explanation:

Given:

Total number of team = 18

Per team number of play = 2

Find:

Total number of matches

Computation:

Total number of matches = [(Total number of team x 2)(Total number of team -1)]/2

Total number of matches = [(18 x 2)(18-1)]/2

Total number of matches = 612 / 2

Total number of matches = 306 matches

5 0

3 years ago

What is the interval notation for x+1>34?

vodka [1.7K]

Explanation:

First you subtract by -1 both sides of an equation.

$x+1-1=34-1$

Then, simplify the number.

34-1=33

x>33

Or interval notation 33,∞

Final answer: → x>33 and 33,∞

Hope this helps!

Thanks!

8 0

3 years ago

Harry Potter decides it’s too cold for him to stay in Hogwarts and wants to fly straight south. He is not sure where to point hi

GrogVix [38]

Harry Potter decides it’s too cold for him to stay in Hogwarts and wants to fly straight south, the heading he should have and the velocity of the broom with respect to the ground are mathematically given as

VR = 20, 699 m/s South

<h3>What is the heading he should have and the velocity of the broom with respect to the ground?</h3>

Divide horizontal and vertical components of Vs and Vw vectors

For Vs

Vs = Vs cos∅ [s] + Vs Sin∅ [w]

Vs = 18 Co58 [s] + 18 sin∅ [w]

For Vw

Vw = Vw Cos 55' [s] + Vw Sin 55 [E]

5.8333 x Cos 55 (s) + 5-8333 Sin 55 [E]

Vw = 3.3458 [s] + 4.7783 [E]

Resultant velocity VR = Vs + Vw

VR= 18 Coso (s) + 18 sine [w] +3.3458 (5) +42783 (E)

VR = (186030 +3.3458) [5] + (18sing - 4.7183)6]

(Harry Potter) flies south

18sin∅ - 4.7783 18=0

Hence

Sin∅ = 4.7783 18/18

∅ =sin{-1}(4.7783 18/18)

∅ = 15.3943

Harry Potter flies in the direction south to ∅ = $15.3943w]

Hence velocity

VR = (18 cos∅ + 35452) s + 0

VR = (17.3541 +3-3458) s

VR = 20, 69999 m/s South

If 8y - 8=24 find the value of 2y ​

If 8y - 8=24 find the value of 2y