Estimate 38 x 9= ___

Answer:

rectangular prism, 6 faces, 8 vertices

Answer:

The figure is a rectangular prism with 6 faces, moreover, it has 8 vertices.

Answer: 1/2

Step-by-step explanation:

Number of red balloons = 17

Number of purple balloons = 11

Number of orange balloons = 3

Number of green balloons = 1

Number of yellow balloons = 2

Total number of balloons = 34

The probability that a randomly selected balloon will be red will be:

= Number of red balloons/Total number of balloons

= 17/34

= 1/2

Answer:

4

Step-by-step explanation:

Think about it like this: What number multiplied by itself is equal to 16. It's 4! Because 4 *4 = 16. Thus, the missing base is 4

Answer:

It is 4

Step-by-step explanation:

It would be 4 since the square root of 16 is 4.

Answer:

x = 25

Step-by-step explanation:

(4x - 17) + 36 + 61 = 180

(4x - 17) + 97 = 180

4x - 17 = 83

4x = 100

x = 25

Have a nice day!

Answer:

x = 25

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

Sum the 3 angles and equate to 180

4x - 17 + 61 + 36 = 180

4x + 80 = 180 ( subtract 80 from both sides )

4x = 100 ( divide both sides by 4 )

x = 25

Step-by-step explanation:

AB = DC = 40 - 2x

AD = BC = 30 - 2x

there is not more explanation possible, I think.

we cut off from each side 2 pieces of x cm. so, AB, DC, AD, BC are the the remaining lengths.

the volume of the box is ground area times height (x is the length of the remaining flaps after the cut, so, when folding up these flaps/sides, they will be x cm high).

Volume = y = AB×AD×x

=> y = (40-2x)×(30-2x)×x = (1200 - 60x - 80x + 4x²)×x =

= (1200 - 140x + 4x²)×x = 4x³ - 140x² + 1200x

Answer:

C. the method by which they are selected limits conscious and unconscious bias and the accuracy/representativeness of the sample can be estimated.

Step-by-step explanation:

The probability sampling technique allows for each element in the sample to be representative of the population data from which the samples are drawn. This sort of sampling technique helps to randomize and eliminate errors which might creep into measurement. Since the researcher has the knowledge of the population data or distribution, he takes advantage of these in the allocation of samples using the probabilities of each Sample.

Answer:

3 feet

Step-by-step explanation:

Volume of a rectangular object = length x width x height

360 = 8 x 15 x height

360 = 120 x height

height = 360 / 120

height = 3ft

Answer:

The minimum number of hours the plumer can work is 1 hour and 15 minutes and the maximum number of hours is 6.

Step-by-step explanation:

Answer:

D. an = 4n

Step-by-step explanation:

The formula for finding a term of an arithmetic sequence is:

an = a1 + (n-1)d

where an is the nth term, a1 is the first term and d is the common difference between the terms.

To find d we can take any two adjacent terms and subtract one from the other. e.g. 8 - 4 = 4, 16-12 = 4 etc.

The common difference here is 4, and we can see that the first term of the sequence is also 4, therefore our formula now looks like this:

an = 4 + (n-1)4

Now we can just expand out the brackets to find the final answer:

an = 4 + 4n - 4

an = 4n

Hope this helped!

Answer:

1. 50°

2.135

3.20°

4.45°

Step-by-step explanation:

1. A right angle adds up to 90 degrees adding that with 40 degrees you get 130. When you subtract the with 180 because a triangle add up to 180 you get 50°. 90+40=130 180-130=50 (might be better in column method.)

2.Add both 20 and 25 to get 45 and subtract your answer with 180 because triangles add up to 180. 20+25=45 180-45=135(might be better in column method)

3.Add 130 and 30 to get 160. Subtract 180 by your answer and get 20.

130+30=160 180-160=20(might be better in column method)

4. Add 95+40 and subtract your answer by 180. 180 subtracted by 135 is 45.

95+40=135 180-135=45(might be better in column method)

Answer:

x = 6

Step-by-step explanation:

The 2 angles are vertical angles and are congruent , so

11x - 14 = 7x + 10 ( subtract 7x from both sides )

4x - 14 = 10 ( add 14 to both sides )

4x = 24 ( divide both sides by 4 )

x = 6

Answer:

A. 24 ÷ [6 − 2] × 5 + 6

Step-by-step explanation:

Sarah's teacher wrote this expression on the whiteboard. 24 ÷ 6 − 2 × 5 + 6 Where could she place brackets in the expression for it to be equal to 36? A. 24 ÷ [6 − 2] × 5 + 6 B. 24 ÷ 6 − [2 × 5 + 6] C. [24 ÷ 6] − 2 × 5 + 6 D. 24 ÷ 6 − 2 × [5 + 6]

Rule of operations

BODMAS

B = Bracket

O = 0f

D = Division

M = Multiplication

A = Addition

S = Subtraction.

Check all options

A. 24 ÷ [6 − 2] × 5 + 6

= 24 ÷ (4) × 5 + 6

= 6 × 5 + 6

= 30 + 6

= 36

B. 24 ÷ 6 − [2 × 5 + 6]

= 4 - (10 + 6)

= 4 - 10 + 6

= 0

C. [24 ÷ 6] − 2 × 5 + 6

= 4 - 10 + 6

= 0

D. 24 ÷ 6 − 2 × [5 + 6]

= 4 - 2(11)

= 4 - 22

= -18

Option A is the correct answer

We know that :

⊕   Area of a Rectangle is given by : Length × Width

Let us calculate the Area of the Rectangle in the Left side of the figure

⇒   Area of Left Rectangle : (x - 3) (x + 2x)

⇒   Area of Left Rectangle : (x - 3) (3x)

⇒   Area of Left Rectangle : 3x² - 9x

Let us calculate the Area of the Rectangle in the right side of the figure

⇒   Area of the Right Rectangle : (x - 1)(x)

⇒   Area of the Right Rectangle : x² - x

Given : Combined area of both rectangles is 50 cm²

⇒   3x² - 9x + x² - x = 50

⇒   4x² - 10x = 50

⇒   2x² - 5x - 25 = 0

Comparing the above equation with ax² + bx + c = 0,

we can notice that :

→   a = 2

→   b = -5

→   c = -25

the answer is x=-1 or x= 5

Answer:

3

Step-by-step explanation:

because x + (-12) =-9

so x= -9 +12

x = 3

Answer:

32.5 miles

Step-by-step explanation:

We can convert 52 km to miles using the given estimation.

To convert 52 km to miles, create a proportion where x is how many miles are in 52 km:

[tex]\frac{5}{8}[/tex] = [tex]\frac{x}{52}[/tex]

Cross multiply and solve for x

8x = 260

x = 32.5

So, in 52 km, there are approximately 32.5 miles

52 km is approximately equal to 32.5 miles.

A mathematical assessment of two numbers is called a proportion. If two sets of provided numbers rise or fall in the same relation, then the ratios are said to be directly proportional to each other.

If we are given the estimation that 5 miles is approximately 8 km, we can use this ratio to convert 52 km to miles.

Let's set up a proportion:

5 miles / 8 km = x miles / 52 km

Cross-multiplying, we get:

5 miles × 52 km = 8 km × x miles

260 miles = 8x

To solve for x, divide both sides of the equation by 8:

260 miles / 8 = x

x ≈ 32.5 miles

Therefore, 52 km is approximately equal to 32.5 miles.

Learn more about the proportion here:

brainly.com/question/1504221

#SPJ2

Answer:

8 and 1 third.

Step-by-step explanation:

Answer:

B I am guessing, not that good at english, though

Answer:

a) y = (x + 1)^2 - 3

b) minimum

c) (-1, -3)

Step by step:

We start with the equation:

y = x^2 + 2*x - 2

First, we want to complete the square to write the equation in the vertex form.

y = (x - h)^2 + k

Such that the vertex is (h, k)

To complete the square, we can write this as:

y = x^2 + 2*1*x - 2

Now we can add and subtract 1

y = x^2 + 2*1*x + 1 - 1 - 2

y = (x^2 + 2*1*x + 1) - 3

The thing inside the parentheses can be written as:

x^2 + 2*1*x + 1 = (x + 1)^2

Then the quadratic equation will be written as:

y = (x + 1)^2 - 3

This is the vertex form.

b) Now we want to know if the vertex is a minimum or a maximum.

Remember that the leading coefficient tells use if the graph of the function opens up or down.

If the leading coefficient is positive, the graph opens up (then the vertex is a minimum)

If the leading coefficient is negative, the graph opens down (then the vertex is a maximum)

In this case, we can write:

y = 1*(x + 1)^2 - 3

The leading coefficient is 1, positive.

Then the vertex is a minimum.

c) The coordinates of the vertex are:

Remember that in the vertex form:

y = (x - h)^2 + k

the vertex is (h, k)

Then the vertex of our equation is:

(-1, - 3)

Answer:

16

Step-by-step explanation:

use desmos

Answer: 20

Step-by-step explanation:

4x4-2+4-4-4-4-4-4-4-4+20+10 = 20

Answer:

Step-by-step explanation:

Use formula:

Given

Find the amount:

Answer:

The percentage rate is 4.5%

Step-by-step explanation:

The simple interest earned in this situation is $1270 - $1000, or $270.

the simple interest formula is i =prt.

Here, i = $270 = ($1000)(r)(6 yr).

                $270

Then r = ------------------- = 0.045

                $1000(6 yr)

The percentage rate is 4.5%

The Ball Rolls Downhill, It's Kinetic Energy Increases And It's Potential Energy Maximum.

Hope Helps! :)

[tex] \: \: [/tex]

Answer: 63.2 cm³

Step-by-step explanation:

The tank was 3/4 filled up when the stones were dropped in. This means that the stones had to first get the water level to 4/4 before it could begin to spill. Then after it spilled, it still spilled 180 cm³ of water.

This means that the stones took 1/4 of the total prism and then 180 cm³ as well.

The volume of the 25 identical stones is therefore:

= (5,600 * 1/4) + 180

= 1,580 cm³

The volume of each individual stone is:

= 1,580 / 25

= 63.2 cm³

Answer:

20 gallons

Step-by-step explanation:

set up proportion

15/x=75/100

cross multiply

75x=1500

x=20 gallons

Answer:  0 and 1, in that order

The numbers   0   and   1   are respectively the additive and multiplicative identities of rational numbers.

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

Explanation:

The additive identity is 0 because adding 0 to any number leads to the original number. For instance, 7+0 = 7. In general we can say x+0 = x or we could also say 0+x = x.

The multiplicative identity is 1 because multiplying 1 with anything leads to that original number. Example: 1*5 = 5 or 9*1 = 1. The general template is x*1 = x which is the same as saying 1*x = x.

These ideas not only apply to rational numbers, but to real numbers as well.

Answer:

Q1 - 5

Q3 - 12.75

Interquartile Range = 7.75

(i think)

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

-2 ( x+2)=-12

-2x - 4 = -12

-2x = -8

x = 4