solve the equation m + 45 = 32

Answer:

-1/6 u + 2/3 = v

Step-by-step explanation:

You can solve for v here so that the equation is in terms of u.

-3u + 6 = 18v - 6                Add 6 to both sides

-3u + 12 = 18v                    Divide everything by 18

-3/18 u + 12/18 = v             Simplify fractions

-1/6 u + 2/3 = v

The sum its +2

2+2=4

4+2=6

6+2=8

8+2=10

And so on the numbers just keep sum for 2

Final answer:

To find the sum of even numbers from 2 to 70, we use the arithmetic sequence sum formula, resulting in a total sum of 1260.

Explanation:

The student's question is asking to find the sum of even numbers from 2 to 70. To do this, we can recognize that this is an arithmetic sequence, where the first term (a1) is 2, the last term (an) is 70, and the common difference (d) is 2, as we are stepping through even numbers only. This sequence has (70/2) terms, which gives us 35 terms.

The sum of an arithmetic sequence is given by the formula S = n/2 (a1 + an), where S is the sum, n is the number of terms, a1 is the first term, and an is the last term. By applying this formula, we can calculate the sum as follows: S = 35/2 (2 + 70) = 35 (72/2) = 35 (36) = 1260.

Therefore, the sum of the even numbers from 2 to 70 is 1260.

Answer:

1, 2, 3

Step-by-step explanation:

Half of 2 is 1.

Half of 4 is 2.

Half of 6 is 3.

Answer:

x      y

2     1

4     2

6     3

Step-by-step explanation:

y is one  half as much as x

so y = 1/2 x

when x = 2;  y = 1/2 (2) = 1

when x = 4 ; y = 1/2 (4) = 2

when x = 6;  y = 1/2 (6) = 3

Answer: OPTION D

Step-by-step explanation:

By definition, an exponential parent function (The simplest forn of an exponentil function) has the following form:

[tex]f(x)=b^x[/tex]

When an exponential function has the form [tex]f(x)=b^x+k[/tex], means that this is shifted k units up.

Therefore, keeping the above on mind, you can conclude that the equation of the function g(x) is the shown below:

[tex]g(x)=3^x+1[/tex]

Answer:

D

Step-by-step explanation:

The length of the missing side is 12.

The length of the missing side of the triangle can be calculated using pythagoras rule ;

Adjacent² = hypotenus² - opposite²

Substituting our values ;

a² = 37² - 35²

a² = 1369 - 1225

a² = 144

Take the square root of both sides ;

a = √144

a = 12

Hence, the length of the missing side is 12.

Basd on the right-angled triangle, the length of the missing side is equal to 12 units.

In Mathematics and Euclidean Geometry, Pythagorean theorem can be represented by the following mathematical equation (formula):

[tex]z^2=x^2 + y^2[/tex]

Where:

x is the opposite side of a right-angled triangle.

y is the adjacent side of a right-angled triangle.

z is the hypotenuse of a right-angled triangle.

Note: Let the variable "x" represent the missing side length.

In order to determine the missing side length, we would have to apply Pythagorean's theorem as follows;

[tex]37^2=x^{2} +35^2\\\\x^2=37^2-35^2\\\\x^{2} =1369-1225\\\\x^{2} =144\\\\x=\sqrt{144}[/tex]

x = 12 units.

80% × 494.4 =

(80 ÷ 100) × 494.4 =

(80 × 494.4) ÷ 100 =

39,552 ÷ 100 =

395.52;

proof

395.52 ÷ 494.4 =

0.8 =

0.8 × 100/100 =

0.8 × 100% =

(0.8 × 100)% =

80%

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Answer:

1/4 acre every 1 hour

Step-by-step explanation:

divide 1/3 with 3/4 to find unit rate

Answer:

[tex]\frac{4}{9}acres/hr[/tex]

Step-by-step explanation:

Givens

To find the fraction that represents the constant per hour, we just need to divide both expression, like this

[tex]\frac{1}{3}acre \div \frac{3}{4}hr=\frac{1}{3}\times \frac{4}{3} =\frac{4}{9}acres/hr[/tex]

Therefore, the expression that represents the acres Jack can mow per hour is

[tex]\frac{4}{9}acres/hr[/tex]

Answer:

24

Step-by-step explanation:

Hello

The concept is factorial number, so:

4! = 4*3*2*1 = 24

Best regards

Answer:

A) 24

Step-by-step explanation:

using n × ( n - 1)×...× 2 × 1

4 × 3 × 2 × 1 = 24

Answer:

$3098.93

Step-by-step explanation:

We can use the formula for compound growth to solve this. The formula is:

[tex]F=P(1+r)^t[/tex]

Where

F is the future value (the value at end of 14 years, our answer)

P is the initial amount invested ($1250)

r is the interest rate, in decimal (6.7% is 0.067)

t is the time in years (14, in our case)

Plugging in all the information we have:

[tex]F=P(1+r)^t\\F=1250(1+0.067)^14\\F=1250(1.067)^14\\F=3098.93[/tex]

The account will accrue $3098.93 after 14 years.

Perimeter is the sum of all four sides.

A square has 4 equal sides, so all the sides of the square are 3 3/4 inches.

Perimeter = 3 3/4 x 4 = 15 inches.

Answer:

B/p -1 =w

Step-by-step explanation:

B=pw+p

Subtract p from each side

B-p=pw+p-p

B-p=pw

Divide each side by p

(B-p) /p = pw/p

(B-p) /p = w

B/p -1 =w

Answer:

It would be the first.

Step-by-step explanation:

a1 = -1

a2 = -1 + 0.5 = -0.5

a3 = -0.5 + 0.5 = 0

etc.

Answer:

"Multiply the previous value by 2"

Step-by-step explanation:

Let's check the first 2 terms for all the answer choices.

1. Add [tex]\frac{1}{16}[/tex] to the previous value:

[tex]\frac{1}{32}+\frac{1}{16}=\frac{3}{32}[/tex]

Doesn't match.

2. Subtract [tex]\frac{1}{16}[/tex] from the previous value:

[tex]\frac{1}{32}-\frac{1}{16}=-\frac{1}{32}[/tex]

Doesn't match.

3. Divide the previous value by 2:

[tex]\frac{\frac{1}{32}}{2}\\=\frac{1}{32}*\frac{1}{2}=\frac{1}{64}[/tex]

Doesn't match.

4. Multiply the previous value by 2:

[tex]\frac{1}{32}*2=\frac{2}{32}=\frac{1}{16}[/tex]

DOES WORK!

Also, doing the same thing with all the other values would give us matching answer. So this choice is right.

Answer:

A meter is 100 times larger than a centimeter

Step-by-step explanation:

A meter is larger than a cm. u can try it on a ruler. look  at the cm notice how it is smaller than a meter.

Answer:

It depends.

Step-by-step explanation:

I won't say centimeter is less or more than a meter, because 1 meter is equal to 100 center centimeter. But when you compare different measurement it can, for example:

2 m = 200 cm (Both are same)

3 m > 250 cm (m is greater, actually 3m = 300 cm)

4 m < 450 cm (cm is greater, 4 m = 400 cm)  

//Hope it helps.

Answer:

Yes, it is a solution

Step-by-step explanation:

Plug the given (x, y) point of (1.5, 0) into the equation to find out...

4(0) + 2(1.5) = 3

0 + 3 = 3

3 = 3

The given ordered pair (1.5,0) is a solution of the equation 4y + 2x = 3.

The solution of an equation, when substituted makes the left-hand side equal to the right-hand side. It is the value for which the LHS = RHS.

The equation is 4y + 2x = 3.

The given ordered pair is (x,y) = (1.5,0). Now substitute the values of x and y.

4y + 2x = 3

⇒ 4(0) + 2(1.5) = 3

⇒ 0 + 3 = 3

⇒ 3 = 3

Therefore, we have determined that the given ordered pair (1.5,0) is a solution of the equation 4y + 2x = 3.

Learn more about the solution of an equation here: https://brainly.com/question/25678139

#SPJ2

c. y = 6x is answer

Example

If b = 5 and h = 10

a = 1/2 * b * h

a = 1/2 * 5 * 10

a = 25

2a = 2 (1/2 * b * h)

2 * 25 = 2 (1/2 * 5 * 10)

50 = 2 (25)

50 = 50

2a = b * h

2 * 25 = 5 * 10

50 = 50

2a - b = h

2 * 25 - 5 = 10

50 - 5 = 12

45 = 10

This is false.

If Hiro divided both sides by 2 instead:

2a ÷ 2 = b * h ÷ 2

2 * 25 ÷ 2 = 5 * 10 ÷ 2

50 ÷ 2 = 50 ÷ 2

25 = 25

Answer:

Hiro should divide both sides by 2.

Step-by-step explanation:

Answer:

92

Step-by-step explanation:

question how many total boxes did u stack one day?

how i subtracted 250-12=233

then 233-141= 92

92 boxes stacked

Answer:

I don't fully know but my best guess would be Linear?

Step-by-step explanation:

Answer: the answer is nonlinear

Step-by-step explanation:

The wrong answer is d

Answer:

−8x−8x+13

for the first -8x it has a 2 for an exponient

hope im not you late :)

Answer:

504 km

Step-by-step explanation:

divide 180 by 15 (because 3 hours is 180 minutes)

after you divide you get 12

then multiply 12 by the 42 kilometers and you get 504

Answer:

504 km

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

given

2x + 5y = 5 ( isolate the term in y by subtracting 2x from both sides )

5y = 5 - 2x ( divide both sides by 5 )

y = [tex]\frac{5-2x}{5}[/tex]

To solve 2x + 5y = 5 for y, subtract 2x from both sides and then divide by 5 to get y = 1 - (2/5)x.

To solve the equation 2x + 5y = 5 for y, we need to isolate y on one side of the equation. Here are the steps to do it:

Therefore, the solution for y in terms of x is y = 1 - (2/5)x.

Answer:

Step-by-step explanation:

Answer:

[tex]96units^2[/tex]

Step-by-step explanation:

The total surface area of a cube is given by [tex]6l^2[/tex].

The first cube has side length [tex]l=6[/tex] units.

This cube has total surface area, [tex]6(6)^2=216units^2[/tex].

If the second cube is reduced in size by [tex]\frac{2}{3}[/tex], then the corresponding change in area is [tex]\frac{2^2}{3^2}=\frac{4}{9}[/tex].

the total surface area of the new cube is [tex]=\frac{4}{9}\times 216[/tex].

[tex]=96units^2[/tex]

Answer:

3,315 is the answer

Step-by-step explanation:

1) Just divide

9945 ÷ 3 = 3,315

Not hard

But here my answer!

Answer:

Step-by-step explanation:

[tex]4.7 * 10^{7}[/tex]

Answer:

4.7 * 10^7

Step-by-step explanation:

Put a decimal at the end.

47 000 000.

Count the places to the left of the decimal.

There are 6 zeros and one more place to get a number between 1 and 10.

1 ≤ x < 10 ( note that 10 is not included).

There are 6 + 1 places to move.

Answer: 4.7 * 10^7

Answer:

13.7

Step-by-step explanation:

Rewrite 15 - 1.3 as 15.0 - 1.3.

Then rewrite this result as

15.0

-  1.3

--------

and subtract as indicated.

First note that 15-1 = 14, and that 15-2= 13.  Thus, the correct answer will be between 13 and 14.

Subtract:

15.0

-  1.3

--------

This results in 13.7.

15 - 1.3 simplifies to 13.7 is the numeric result obtained after subtracting 1.3 from 15.

When we simplify the expression 15 - 1.3, we are performing basic arithmetic operations, specifically subtraction.

The step-by-step process is:

1. Write down the expression: 15 - 1.3

2. Perform the subtraction: Subtract 1.3 from 15

15 - 1.3 = 13.7

The result 13.7 is the difference between 15 and 1.3.