15m+20g=300
m+g=17

solve by elimination and SHOW YOUR WORK​

The solution to the equation is

x = b/a ± √(b^2/a^2) / a.

Generally, To solve the equation using the completing the square method, we first move all the terms to one side of the equation by subtracting abx and 2b² from both sides, giving us:

a²x² = abx + 2b²

Which is

a²x² - abx - 2b² = 0

Next, we need to add and subtract a term so that the left side of the equation can be written as a perfect square.

We need to find the square of half of the coefficient of the x term, which is -ab/2a.

So we add and subtract (ab/2a)^2 = (b^2/a^2) on the left side of the equation:

a²x² - abx - 2b² + (b²/a²) - (b²/a²) = 0

This gives us the left side of the equation as

(ax - b/a)² = b²/a².

We can then take the square root of both sides:

ax - b/a = ±√(b²/a²)

Finally, we can add b/a to both sides to get the solution:

x = b/a ± √(b²/a²) / a

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Answer:

1.8 meters

Step-by-step explanation:

Multiply 12 by 0.15 to get your answer. You multiply because the question says "15% of 12 meters" which means you need to multiply.

Answer: 1.8

Step-by-step explanation:

Multiply 12 by .15 (15% as a decimal), and you'll get 1.8 meters. You multiply, because it says 15% of 12 meters.

Answer:

Step-by-step explanation:

surface area=4×(4×2)+2×(4×4)=32+32=64 m²

Step-by-step explanation:

No, Richard's inequality is not correct. In order to determine the correct inequality, we first need to find the total number of books that Richard read in 4th and 5th grade. In 5th grade, he read 9 more books than in 4th grade, so the total number of books he read in 5th grade was 37 + 9 = 46 books. The total number of books he read in 4th and 5th grade is therefore 46 + 37 = 83 books.

Since Richard plans to read at least 12 more books than the total number of books he read in 4th and 5th grade, he needs to read at least 83 + 12 = 95 books in 6th grade. In order to have read at least 180 books in total over 4th, 5th, and 6th grade, his inequality should be b ≥ 180. However, b represents the number of books he plans to read in 6th grade, which means the inequality should be 95 ≥ 180, which is not true. Therefore, Richard's inequality is not correct.

Answer:

32 is 32% of 100

Step-by-step explanation:

Answer: 100

Step-by-step explanation: 32 is 32% of 100

Answer:

Rectangle and triangle

The time required for Latisha to walk around the rim at a rate of 2 mph is 0.235 hours.

Speed is defined as when an object is in motion, the distance covered by that object per unit of time is called speed.

here,
Ubehebe crater in Death Valley has a diameter of a little more than 1/2 a mile.
Circumference of the rim,
= πD

= 3.14 × 1/2
= 1.57 mile

Time = Distance/speed
Time = 1.57 / 2
Time = 0.785 hours

Thus, the time required for Latisha to walk around the rim at a rate of 2 mph is 0.235 hours.

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Answer:

C

Step-by-step explanation:

Sorry if I’m wrong but I think I’m right

Answer:

answer is C

Step-by-step explanation:

it's just 12.95 times 3

Answer:

[tex] \frac{9}{10} \times 54 = \frac{9 \times 54}{10} = \frac{486}{10} = 48 \frac{6}{10} = \frac{243}{5} [/tex]

Answer:5 weeks

Step-by-step explanation:

Answer:

27.72

Step-by-step explanation:

Just sum up all the sides together

Answer:

24 feet

Step-by-step explanation:

ok, so first we need convert the yards into feet.

12 yards=36 feet

(one yard=3 feet)

then, we need to convert the inches into feet.

144 inches=12 feet

(one foot=12 inches)

so now, our dimensions are 36 feet by 12 feet

36-12=24

the length of the room exceeds the width by 24 feet!

hope this helped <33333333333

Answer:

206

Step-by-step explanation:

A=2(wl+hl+hw)

Answer:

50 rabbits

Step-by-step explanation:

?/2  =    400/100

multiply 2 by 400

2 times 400 = 800

now, divide it by 100

800/100 = 8

every two months = 8 rabits

12 months in a year

12/ 2 equals 6

6 times 8 = 48

+the two begining rabbits

= 50 total rabbits

Answer:

19.5º

Step-by-step explanation:

Every triangle is equal to 180º for all angles. So, you add 33.5 + 127 and subtract the sum by 180.

33.5 + 127= 160.5

180- 160.5 = 19.5

So, the angle F is 19.5º

Hope this helps !!

-Ketifa

Answer:

look at the picture I sent

Precipitation (inches), 2.08, 1.98, 2.64, 3.29; Snowfall (inches), 17.6, 14.2, 11.7, 3.4; The Ithaca Climate Page.

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Answer:

C

Step-by-step explanation:

48 × 19.5 = 936in

936in = 78ft

The length of the diagonal of the rectangular tennis court is given as follows:

26.4 meters.

The tennis court is rectangular, meaning that the diagonal is the hypotenuse of a right triangle, in which the sides are the length and the width.

Applying the Pythagorean Theorem, the diagonal length can be obtained as follows:

d² = 24² + 11²

d² = 697

[tex]d = \sqrt{697}[/tex]

d = 26.4 m.

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Answer: it depends on the number you took

Step-by-step explanation:

x

−

1

x−1?x

)

=

2

x

4

−

3

x

+

3

f(x)=2x

4

−3x+3, then what is the remainder when

f

(

x

)

f(x) is divided by

x

−

1

x−1?

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

Work Shown:

The equation y = a*b^x updates to y = 1500*(1.08)^x

Plug x = 15 into the equation to find out how much money you have after 15 years.

y = 1500*(1.08)^x

y = 1500*(1.08)^15

y = 1500*(3.17216911419828)

y = 4758.25367129741

y = 4758.25

Don't forget to round to the nearest cent.

The solution to the equations are

0 ∈ N is False               7/2 ∈ Q is True

√16 ∈ Q' is False          π ∈ Q' is True

3/2 ∈ I is False              -3 ∈  R is True

0 ∈ I is True                  -1 ∈ I⁺ is False

( 1 - 3 ) ∈ N is False       8/2 ∈ I is True

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number be represented as A

Now , the equation will be

a)

Let the number be A = 0

The number 0 is a whole number , rational number and an integer

0 is not a natural number

So , the equation is False

b)

Let the number be A = √16

The value of A = 4

The number 4 is a natural number , whole number , rational number and an integer

4 is not an irrational number

So , the equation is False

c)

Let the number be A = 3/2

The number 3/2 is a rational number

3/2 is not an integer

So , the equation is False

d)

Let the number be A = 0

The number 0 is a whole number , rational number and an integer

0 is an integer

So , the equation is True

e)

Let the number be A =  ( 1 - 3 )

The value of A = -2

The number -2 is a rational number and an integer

-2 is not a natural number

So , the equation is False

f)

Let the number be A = 7/2

The number 7/2 is a rational number

7/2 is a rational number

So , the equation is True

g)

Let the number be A = π

The number π  is an irrational number

π is an irrational number

So , the equation is True

h)

Let the number be A = -3

The number -3 is a real number

7/2 is a real number

So , the equation is True

i)

Let the number be A = -1

The number -1 is an integer and real number

-1 is a negative integer

So , the equation is False

j)

Let the number be A = 8/2

The value of A = 4

The number 4 is a natural , whole , integer and rational number

4 is an integer

So , the equation is True

Hence , the equations are solved

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Answer:

Answer:

the change would be 2% of course

The change in the unemployment rate is -1%.

Given to us:

output grew = 7%

full-employment output grew = ΔY = 5%

According to Okun's law,

employment output - 2 (change in the unemployment rate) = output grew

5% - 2(Δu) = 7%

- 2(Δu) = 7% - 5%

- 2(Δu) = 2%

[tex]\bold {\Delta u = \frac{2\%}{-2} }[/tex]

[tex]\bold{\Delta u = -1\%}}[/tex]

Hence, the change in the unemployment rate is -1%.

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Answer:

1350

Step-by-step explanation:

if she spilt her pay EQUALLY between 3 things, and she added 450 to her savings, everything else would be 450 too. so 450 x 3 = 1350