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2 years ago

Does 7x+3x-8 = 2(5x-4) have one solution, no solution, or infinitely many solutions?

Mathematics

2 answers:

USPshnik [31]2 years ago

5 0

Answer: only has one solution

Step-by-step explanation: If you find the answer for 7x+3x-8, youll get 10x+8. This will be the same answer for 2(5x-4). Making them equal and having only one solution

Ivahew [28]2 years ago

5 0

Answer:

x has infinite values.

Step-by-step explanation:

7x+3x-8 = 2(5x-4) = 7x+3x-8 = ||10x-8 = 10x-8||

In this case this we have the same eqations on both sides, x = anything.

In other words, x have infinite values.

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What does 8/7 to the power of 4 equel

cupoosta [38]

Answer:

The equivalent expression $\frac{8^4}{7^4} = \frac{4096}{2401}\approx 1.71$

Step-by-step explanation:

Given:

$(\frac{8}{7})^4$

We need to find the equivalent for given expression.

Solution:

$(\frac{8}{7})^4$

Now by using Law of indices which states;

$(\frac{a}{b})^n= \frac{a^n}{b^n}$

So applying the same in given expression we get;

$\frac{8^4}{7^4}$

Now we can say that;

$8^4 = 8 \times 8 \times 8 \times 8$

Also

$7^4 = 7 \times 7 \times 7 \times 7$

$\frac{8^4}{7^4} = \frac{8 \times 8 \times 8 \times 8}{7 \times 7 \times 7 \times 7}$

Now We know that;

$8 \times 8 \times 8 \times 8 = 4096$

$7 \times 7 \times 7 \times 7 = 2401$

On substituting we get;

$\frac{8^4}{7^4} = \frac{4096}{2401}\approx 1.71$

Hence The equivalent expression $\frac{8^4}{7^4} = \frac{4096}{2401}\approx 1.71$

5 0

3 years ago

A small boat traveled 29.5 miles upstream in 2 hours. The same boat took 3 hours to travel 59.25 miles downstream. If the speed

mel-nik [20]

Answer:

boat speed: 17.25 mph
current: 2.5 mph

Step-by-step explanation:

Upstream, the speed of the current (c) subtracts from the speed of the boat (b) to give the net speed. Downstream, the speed of the current adds. We can make use of the relation ...

speed = distance/time

b-c = 29.5/2 = 14.75 . . . . . miles/hour

b+c = 59.25/3 = 19.75 . . . .miles/hour

Subtracting the first equation from the second, we get ...

(b+c) -(b-c) = 19.75 -14.75

2c = 5

c = 2.5

Then either equation can be used to find b:

b = 14.75 +c = 17.25

The speed of the boat in still water is 17.25 miles per hour; the speed of the current is 2.5 miles per hour.

5 0

3 years ago

A snack cart sells lemonade for $2 and hot dogs for $5. The vendor sold 86 items today for a total of $330.

Firdavs [7]

Solutions

There are two equations in the system of equations in this problem.
Let x = lemonade and y = hot dogs

Equation # 1

x + y = 86

This says that t<span>he vendor sold 86 items.

</span>Equation # 2

2x + 5y = 330

= $2 for each lemonade
= $5 for each hot dog.

= total amount earned is $330.

Only these two equations are true and needed.

3 0

3 years ago

Read 2 more answers

Evaluate h(x) = -2x + 9 when x = -2.0. and 5

Len [333]

Answer:

h(-2) = 13

h(5) = -1

Step-by-step explanation:

Given the function

h(x) = -2x + 9

Evaluating at x = -22