Multiply (5.6 x 10") (6.1 x 10* )and write the
answer in scientific notation.

Answer:

x = 3/2

Step-by-step explanation:

Given:

9 - 4x = 2x

Step 1: Addition property of equality

9 - 4x + 4x = 2x + 4x

9 = 6x

Step 2: Division property of equality:

9 = 6x

9/6 = 6x/6

9/6 = x

x = 9/6

= 3/2

x = 3/2

Check:

9 - 4x = 2x

9 - 4(3/2) = 2(3/2)

9 - 12/2 = 6/2

9 - 6 = 3

3 = 3

Answer:

a = 8.7

Step-by-step explanation:

The Pythagorean theorem is

a^2+b^2 = c^2 where a and b are the legs and c is the hypotenuse

a^2+5^2 = 10^2

a^2 +25 = 100

a^2 = 100-25

a^2 = 75

Taking the square root of each side

sqrt(a^2) =sqrt(75)

a =8.660254038

Rounding to the nearest tenth

a = 8.7

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Explanation:

1/2 = 4/8 after multiplying top and bottom by 8

So the mixed number 7  1/2 is the same as 7  4/8

We can convert to an improper fraction like so

7  4/8

7 + 4/8

7*(8/8) + 4/8

56/8 + 4/8

(56+4)/8

60/8

Notice how dividing 60 over 8 leads to 7 remainder 4. Think of it like having 60 cookies and you want to share them amongst 8 friends. Each friend gets 7 whole cookies (7*8 = 56 taken so far) and then we have 60-56 = 4 left over as the remainder.

Through similar steps, you should find that the mixed number 1  7/8 converts to the improper fraction 15/8.

-----------------------------

To rephrase the problem with improper fractions would be to say:

"The electrician needs to buy 60/8 feet of wire. There are 15/8 feet of wire in each spool. How many spools should the electrician buy?"

Let x be the answer to that question.

We multiply the number of spools (x) by the amount of feet of wire per spool (15/8) to get the expression (15/8)x

Set this equal to the target 60/8 and solve for x

(15/8)x = 60/8

15x = 60 .... multiply both sides by 8 to clear out the fractions

x = 60/15

x = 4

The electrician needs to buy exactly 4 spools

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A different approach could have us convert each mixed number into decimal form

7  1/2 = 7 + 1/2 = 7 + 0.5 = 7.5

1  7/8 = 1 + 7/8 = 1 + 0.875 = 1.875

So the electrician needs to buy 7.5 ft total and each spool has 1.875 ft of wire.

Using the same idea as before, we would then have,

1.875x = 7.5

x = (7.5)/(1.875)

x = 4

Answer:

you can put the number on one side of the equation then the "x" part on the other side.

with c) 4x = 6-10

           4x = -4

            x = -4/4

            x = -1

with d) 7x - 1 = 4x + 8

           7x - 4x = 8 + 1

           3x  = 9

           x = 9/3

           x = 3

Answer:

c) x = -1.  d) x = 3

Step-by-step explanation:

c) move like terms together. then get x by itself

10 + 4x = 6

-10

4x = -4

4x/4 = -4/4

x = -1

d) move like terms together.  then get x by itself

7x-1 = 4x+8

+1          -4x

3x = 9

3x/3 =9/3

x = 3

Answer:

4.6

Step-by-step explanation:

tan(75) = 17/x

x = 17/tan(75)

x = 34-17√3

x = 4.6

Answered by GAUTHMATH

Answer: A,C,D

Step-by-step explanation:

Answer:

pretty sure it's a, c, and d

Step-by-step explanation:

polygons have straight sides, not curved. it's a 2d figure, and it is enclosed. b doesn't fit the criteria of that because of the fact that the shape is a bit curved, as the other options do fit that criteria.

Answer:

x = 35.0

Step-by-step explanation:

the height is 26√3 since the left one is a 30-60-90 triangle

so to find x

cos(39) = x/26√3

or, x = 26√3×cos(39)

or, x = 35.0

Answered by GAUTHMATH

Answer:

10,000

Step-by-step explanation:

cuhcuhcuhcuhcuhcuhc

Answer:

{1,2,3,4,5,6}

.

.

.

.

1/3

correct answer

Answer:

1,2,3,4,5,6

1/3

the correct ans

Step-by-step explanation:

according to question let 2a and 5a be the given rations

2a/ 5a given fraction

2a-2/5a-2

Answer:

Solution given:

Sin[tex]\theta_{1}=\frac{-24}{25}[/tex]

[tex]\frac{opposite}{hypotenuse}=\frac{-24}{25}[/tex]

equating corresponding value

opposite=-24

hypoyenuse=25

adjacent=x

By using Pythagoras law

hypotenuse²=opposite²+adjacent²

25²=(-24)²+x²

625=576+x²

x²=625-576

x=49

x=[tex]\sqrt{49}=7[/tex]

In IV quadrant

Cos angle is positive

Cos[tex]\theta_{1}=\frac{adjacent}{hypotenuse}[/tex]

Answer:

cos theta = 7/25

Step-by-step explanation:

sin theta = opp / hyp

We can find the adj side by using the pythagorean theorem

adj ^2 + opp ^2 = hyp^2

adj^2 + (-24)^2 = 25^2

adj^2 +576 = 625

adj^2 =625 -576

adj^2 = 49

Taking the square root of each side

adj = 7

Since we are in the 4th quadrant, adj is positive

cos theta = adj / hyp

cos theta = 7/25

Answer:

98 is the answer

Step-by-step explanation:

you add 8 each time

Answer:

a₁₃ = 98

Step-by-step explanation:

The nth term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 2 and d = a₂ - a₁ = 10 - 2 = 8 , then

a₁₃ = 2 + (12 × 8) = 2 + 96 = 98

Answer:

$962.00

Step-by-step explanation:

We can start from the first sentence of the word problem and work from there.

First, the employee is working for 40 hours at $18.50 per hour. This means that for each hour, the employee is gaining $18.50 . This can be represented as $18.50 * 40 = $740 for their base pay.

Next, the employee works 8 hours of overtime at 1.5 * base pay (18.50). For each hour of overtime they work, they earn 1.5 * 18.50 = $27.75 dollars. Their earnings from overtime work for the week can be represented as

8 * 27.75 = $222

Because all the employee's hours are encompassed in overtime and base pay, we can add the two together to get

740 + 222 = $962.00 for their total pay for the week

Answer:

A

Step-by-step explanation:

As the angles are equal, AB=BC, 16x-7=12x+1, 4x=8, x=2.

Answer:

210

Step-by-step explanation:

In a normal distribtuion mean=mode=median

so 210=median

Step-by-step explanation:

c. The slope is positive.

hope this helps you

have a nice day

Answer:

1.5 yrs

Step-by-step explanation:

let the present age=x

x+5=2+3x

3x-x=5-2

2x=3

x=3/2=1.5 years

Answer:

3x + 2 = x + 5.

Step-by-step explanation:

Peter is currently x years old. In 5 years, his age will be x + 5. According to the prompt, Peter's age will be 2 + 3 times his current age, x, which can be represented as 2 + 3x. 2 + 3x is the same age as x + 5, so we can represent it as...

2 + 3x = x + 5

3x - x = 5 - 2

2x = 3

x = 1.5

This means that Peter is 1.5 years old.

Hope this helps!

Answer:

A = 16.625

Step-by-step explanation:

Given :-

To rewrite in :-

Answer :-

Hence :-

Answer:

Step-by-step explanation:

Prime numbers are basically numbers that don't have any factors that multiply to get that number except for 1 and the number itself. (For example: 2, 3, 5, 7, 11, 13 and so on are all prime numbers)

The question is asking to express 60 into prime numbers. 60 is 30*2, and since 2 is a prime number, we can circle it. Then we continue on with 30, which can divide into 15*2. Again, since 2 is a prime number, we circle it, while 15 can be factored further because 5*3 is 15. Since 5 and 3 are prime numbers, we circle them too. In the end, we have the prime numbers 5, 3, 2, and 2. There are two 2's in our factorization, so therefore we can simplify that to 2^2 since they ask for your answer in index form. There is only one 5 and one 3, and they ask to write them  in asscending order, and so the answer would be (2^2)*3*5. Hope this helps!

Answer:

1,041,958.5, or 104,195 1/2

Step-by-step explanation:

All you have to do is 15787.25 times 66, because 15787.25 is the price for on acre, so 66 acres will be 15787.25 times 66. If you want to put it in fraction form, you can do 15787 1/4 times 66. I hoped you liked this answer!

Step-by-step explanation:

Since there is a 45 and 90 degree angle, this is a 45-45-90 triangle. The legs are equal in a 45-45-90 ttiangle. The hypotenuse sqr root of 2 times more than the legs. So this means the hypotenuse measure is

[tex]18 \sqrt{2} [/tex]

So we can set up a equation.

[tex] {18}^{2} + {x}^{2} = ({18 \sqrt{2}) }^{2} [/tex]

[tex]x = 18[/tex]

So the missing side is 18

Multiply the numerator and denominator by the conjugate of the denominator:

[tex]\dfrac{6+9i}{-1+4i} \times \dfrac{-1-4i}{-1-4i} = \dfrac{(6+9i)(-1-4i)}{(-1)^2-(4i)^2}[/tex]

Simplify:

[tex]\dfrac{(6+9i)(-1-4i)}{(-1)^2-(4i)^2} = \dfrac{-6-9i-24i-36i^2}{1-16i^2} = \dfrac{-6-33i-36i^2}{1-16i^2} = \dfrac{-6-33i+36}{1+16} = \boxed{\dfrac{30-33i}{17}}[/tex]

Answer:

Step-by-step explanation:

The inscribed angles are made up of the remote interior angles of this hexagon, of which each of them measures 120 degrees. That means that if this is measure of the inscribed angle, the arc this angle intercepts is twice the degree measure of the inscribed angle. The arcs then will all measure 240 degrees.

Answer:

u =√6

v =√5

Step-by-step explanation:

u = √(1²+2²+1²) =√(1+4+1) = √6

v = √(1²+2²) =√(1+4) = √5

Step-by-step explanation:

I am not sure I fully understand what your teacher wants from you, but I would say we only need to define the burning rate per hour for both people, and with that normed rate (number / hour) we can answer the main question directly.

Thomas burned 675 cal/ 2 hours.

by dividing to and bottom by 2 (it is important to do the same action on the top and the bottom to keep the value of the ratio unchanged) we get

337.5 cal / hour

and Marvin burned 1035 cal / 3 hours.

so, the same trick, this time dividing to and bottom by 3 to norm the whole ratio to a 1 hour baseline :

345 cal / hour

so, Marvin burned more calories per hour.

Answers:

choice A)   y = 0x

choice D)  y = 0/x

========================================================

Explanation:

Choice A is the same as y = 0 because 0x turns into 0. Multiplying 0 with any number always leads to 0.

Similarly, choice D is the same as y = 0 as well. Dividing 0 over any nonzero value leads to 0. Note the key term "nonzero" here. We cannot have 0 in the denominator. So x = 0 is not allowed for choice D.

So for any nonzero x, we have 0x and 0/x result in the same thing.

-----------

Extra info:

Choice B can be ruled out because something like x = 2 leads to y = 2.

Choice C is ruled out because we can never have 0 in the denominator.

y............. xnxnxnxnxnccncncncnnncncjcjnf

Answer:

30 minutes

Step-by-step explanation:

Walk rate = 88 paces/ minute

Average length of pace = 0.875 m

Time taken to walk 2.31 km ;

The distance in metres :

1000 m = 1 km

2.31 km = (1000 * 2.31) = 2310 m

Recall :

Time taken = distance / speed

Distance walked in a minute = 88 * 0.875 = 77 m

Time taken = 2310 / 77

Time taken = 30 minutes