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2 years ago

2.8y+6+0.2y=5y-4 what is the solution to the linear equation

Mathematics

2 answers:

katrin [286]2 years ago

7 0

2y is the answer. combine like terms = 3y+6-5Y-4 subtract y from each side, add 4 to each side then divide

jek_recluse [69]2 years ago

6 0

2.8y + 6 + 0.2y = 5y - 4

3y + 6 = 5y - 4

6 = 2y -4

10 = 2y

5 = y
I hope this helps love! :)

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In one baseball season Peter hit twice the difference of the number of home runs Alice hit and 6. altogether,they hit 18 home ru

Viktor [21]

<span>In a baseball season:
Peter hit = 2 (x - 6)
Total = 19 hits

X= Alex’s hit
Y = Peter’s Hit

=> Y = 2(x - 6)
=> x + y = 18
Let’s start from the second given equation:
=> x + y =18
=> y = 18 – x
Now, let’s use the first given equation to solve:
=> 18 – x = 2 (x - 6)
=> 18 – x = 2x – 12
=> -3x = -30
x = 10

Now, Let’s try:
=> Y = 2(x - 6)
=> y = 2 (10 - 6)
=> y = 2 (4)
=> y = 8

Thus, Peter hit 8 and Alice hit 10.</span>

4 0

2 years ago

A cube-shaped water tank having 6 ft side lengths is being filled with water. The bottom is solid metal but the sides of the tan

Mekhanik [1.2K]

Answer:

0.033 ft

Step-by-step explanation:

Let g = 32.2 ft/s2 and h be the maximum height that water can be filled before the sides shatter.

Pressure is distributed from 0 to maximum at the bottom like the following equation:

$P = \rho gh$

So the force generated by water pressure on the side of the tank is

$F = PA = \rho ghs/2$

where s = 6ft is the side length of the tank. This force cannot be larger than 200lb

$\rho ghs/2 \leq 200$

$62.4*32.2*h*6/2 \leq 200$

$h \leq 0.033 ft$

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2 years ago

A camp counselor is trying to determine, of the places they have previously camped, where his campers' favorite camping spots ar

GarryVolchara [31]

A

B is incorrect, because some of the campers may have never gone camping before, so they would be unable to say which is their favorite camping spot
C is incorrect because all of those campers have never gone camping before, so they would be unable to say which is their favorite camping spot
D is incorrect because she is asking the campers not the counselors

8 0

2 years ago

Read 2 more answers

A rancher owns a rectangular piece of land that is 4.1 mi long and 2.5 mi wide. Find the units for the perimeter of the rectangl

Naddik [55]

Answer:

13.1mi

Step-by-step explanation:

Length(l) = 4.1mi

Breadth(b) = 2.5 mi

Perimeter of a rectangle = addition of all sides that is = l + l + b + b as a rectangle has 2 opposite equal length and also breadth.

Therefore perimeter = 4.1 + 4.1 + 2.5 + 2.5

= 8.1 + 5

=13.1 mi

I hope this was helpful, Please mark as brainliest

8 0

2 years ago

Read 2 more answers

One way to measure whether the trees in the Wade Tract are uniformly distributed is to examine the average location in the north

tatyana61 [14]

Answer:

Null hypothesis be H₀ : μ = 100

Alternative hypothesis Hₐ : μ < 100

There is sufficient statistical evidence to suggest that the average location of Wade Tract is 100

Step-by-step explanation:

Here we have;

Let our null hypothesis be H₀ : μ = 100 Average location of trees in the Wade Tract is 100

Our alternative hypothesis becomes Hₐ : μ < 100 at 95% confidence level

Proposed average location in Wade Tract, μ = 100

Sample mean, $\bar x$ = 99.74

Standard deviation, s = 58

Sample size, n = 584

The t test formula is therefore;

$t=\frac{\bar{x}-\mu }{\frac{s }{\sqrt{n}}}$

Therefore, with df = 584 -1 = 583, and α = (1 - 0.95)/2 = 0.025

We have $t_{\alpha /2}$ = -1.65

Plugging in the values into the t test formula, we have t = -0.108338, from which the p-value is given as p = 0.4569 which is much more than the value of α, therefore, we accept the null hypothesis as follows;

There is sufficient statistical evidence to suggest that the average location of Wade Tract = 100.

7 0

2 years ago