I am building birdhouses for all of my students for an upcoming project. If I complete 2 1/2 birdhouses in 2/3 of an hour of workwhat is my unit rate of birdhouses per bour?

Answer:

Must save 8 weeks or more to purchase the bike.

Step-by-step explanation:15*w >= 120 where W is the number of weeks.

w >= 120/15 = 8

You need to save $15 every week for the next 8 weeks in order to purchase the bike.

In mathematics, an inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions.

Given is that you save $15 per week to purchase a bike that costs $120.

Assume that you need [w] weeks to save $120 for the bike.

Amount earned per week [A] = $15

Amount earned in [w] weeks [W] = $15w

Money needed [R] = $120

The inequality can be written as -

[W] ≥ [R]

We can write it as -

15w ≥ 120

Solving the inequality, we get -

15w/15 ≥ 120/15

w ≥ 8

Therefore, you need to save $15 every week for the next 8 weeks in order to purchase the bike.

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Answer:

length =√area use this formula

The side length of square can be found by taking the square root of Area.

Square are closed polygons which consist of four sides and four angles.

Each angle is 90 degree.

All the sides are of equal length.

So, by the definition of square, we know that the side lengths of square are equal.

The formula to calculate the area of the square is,

Area = a², where a is the length of one side of the square.

Let Area be given, let it be equal to A.

Then,

a² = A

Taking square root on both sides,

a = √A

Hence the side length is found by taking the square root of Area.

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Answer:

3 hours

Step-by-step explanation:

24/7 = 3.42 hours and rounded that will be 3 hours

Answer:

X = 15

Step-by-step explanation:

Let's solve your equation step-by-step.

−18+x=−x+12

Step 1: Simplify both sides of the equation.

x−18=−x+12

Step 2: Add x to both sides.

x−18+x=−x+12+x

2x−18=12

Step 3: Add 18 to both sides.

2x−18+18=12+18

2x=30

Step 4: Divide both sides by 2.

2x/2 30/2 = 15

Answer:

B: Use a 95% confidence level.

Step-by-step explanation:

In the case when the random sample size from a population is collected and it determined the 98% confidence interval so that decrease the margin of error is to use a 95% confidence interval as it is needed to have a less critical value

So according to the given options, the option B is correct

Answer:

1/2a = -5

a = (-5 x 2) : 1

a = -10

8 - b = 9,5

b = 8 - 9,5

b = -1,25

0,1 = -10c

c = 0,1 : -10

c = -0,01

I hope it's helpful.

Answer:

-4x + y + 6z

Step-by-step explanation:

Combine like terms (Terms with the same variable):

(2x + 5y - z) + (-6x - 4y + 7z)

Add straight across:

2x - 6x = -4x

5y - 4y = y

-z + 7z = 7z - z = 6z

-4x + y + 6z is your answer.

~

Answer:

-4x +y + 6z (Cyan answer)

Answer:

64.8

Step-by-step explanation:

Pythagoreon Theroem

a^2 + b^2 = c^2  in  this situation it would actually be the opposite, seeing where the "x" is (on a leg) c^2 - b^2 = a^2. First  take the square of 67 and 17

67 squared is 4489 and 17 squared is 289 then  subtract both results

4489-289 = 4200 take the square root of this number

64.8074  (Round to the tenths 64.8)

Answer:

31

Step-by-step explanation:

Answer:

I think it would be A.

Answer:

angle SXV

Step-by-step explanation:

Answer:

1,300 students

Step-by-step explanation:

1864 - 564 = 1300

Answer:

4

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

Answer:

131

Step-by-step explanation:

Hope it helps ;)

Answer:

49

Step-by-step explanation:

8*7=56

7*6=42

56+42=98

98/2=49

Answer:

105 for 3 hours

Step-by-step explanation:

First we have to find that how much he is charged for 1 hour.

140 : 4 = 35 per hour

Then we have to find how much he is charged for 3 hours by multiplying with 3.

3 x 35 = 105 per 3 hours

Answer:

£105

Step-by-step explanation:

let y represent the unknown amount

£150 = 4 hrs

y = 3 hrs

we then cross multiply

£150 x 3 hrs = y x 4 hrs

450= 4y

divide both sides by 4

450/4 = 4y/4

105 = y

Answer:

The probability is 0.341

Step-by-step explanation:

Here, we want to calculate the probability that the student will win exactly one of the two matches

This means that;

If they win on Saturday, they lose on Sunday

or

If they lose on Saturday, they win on sunday

So either of the two scenarios will give that the team will win on either of the two days

Mathematically, we have that;

(0.45 * 0.33) + (0.55 * 0.35)

= 0.1485 + 1925

= 0.341

Answer:

subtract 260-135=120

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

78/13 = 6 crayons

Answer:

6 crayons I believe

Step-by-step explanation:

78/13= 6

Answer:

Answer is 62 degrees.

Step-by-step explanation:

The sum of all angles of a triangle is 180°

x + 70 + 48 = 180

x + 118 = 180

x = 180 - 118

x = 62

Step-by-step explanation:

(2x-5) = 3(4+x/2) then solve for x.

2x-5 = 12 + (3/2)x

2x-(3/2)x = 17

x/2 = 17

x=34

Checking the left side, (2x-5) = 2(34) - 5 = 63.

Checking the right side, 3(4+(34/2)) = 3(4+17) = 3(21) = 63.

Answer:

[tex]\frac{3}{8}[/tex]

Step-by-step explanation:

[tex]\frac{1}{2}[/tex] x [tex]\frac{3}{4}[/tex]

multiply like normal:

[tex]\frac{1}{2}[/tex] x [tex]\frac{3}{4}[/tex] = [tex]\frac{3}{8}[/tex]

Answer:

-9x - 10

Step-by-step explanation:

Answer:

x=9/2

Step-by-step explanation:

So in this equation we have to solve using PEMDAS, or parentheses, exponents, multiplication, division, addition, then subtraction, going from left to right. So first, i deal with whats in the parentheses, but since it cannot be subtracted, I next go on to the next step. Since there are no exponents, our next step is to multiply or distribute 2 into (-3-6x). In other words, i multiply 2 by -3 and 2 by -6x. This is going to be -6 -12x. After that, i add and subtract common factors, so 3x-12x is -9x, and -4-6 is -10. This leaves us with -9x-10=0. I  add 10 to each side according to addition property of equality. Thus, the equation is -9x=-10. Divide both sides by -9, by the division property of equality, and u get 10/9. If you want a decimal answer, type it into a calculator.

Answer:

Yep,

it is correct!

Answer:

No

Step-by-step explanation:

14:12 is not equivalent to 7:5 because if you divide 14 by 2, you would get 7. If you divide 12 by 2, however, you will get 6. So the equivalent ratio for 14:12 is 7:6.