Count and fill in the missing numbers.
..., 44, 45, 46, 47, 48,
,
,
, ...

Answer:

12cm and 16cm

Step-by-step explanation:

The hypotenuse of the right angle triangle  = 20cm

 let the other two sides be x and y;

 The difference;

                x  = y - 4

Problem:

Find x and y;

Solution:

According to the pythagoras theorem;

    x² + y² = 20²  ------ i

       x² + y² = 400 ----- i

and  x - y = 4 ---- ii

So;   x = 4 + y

Now input the value into equation (i);

  (y + 4)² + y² = 400

   (y+4)(y+4) + y² = 400

    y² + y² + 4y + 4y + 16 = 400

    2y² + 8y + 16 = 400

    2y² + 8y + 16 -400 = 0

   2y² + 8y - 384 = 0;

      y² + 4y - 192 = 0

Factorize the equation;

  y² + 16y - 12y - 192 = 0

  y(y + 16) - 12(y + 16) = 0

  (y-12)(y + 16) = 0

     y -12 = 0 or y+ 16 = 0

     y = 12 or -16

It is not realistic for the length of a body to be a negative value, so y= 12;

   since;

    x - y = 4,

    x = 4 + 12

    x = 16

Answer:

4 hours after summer leaves she will have passes zoe

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

Use pemdas!

First use distributive property to get rid of the parenthesis, by multiplying 2 by 3x and -4. Then combine like terms and use inverse operations to simplify each side until you get it down to just x! Hope this helped! :)

Answer:

1. correct (3+2) x 5 is 5 squared

2. 125     5 cubed is 125

3. 50       10 squared and divided by 2 is 50

Step-by-step explanation:

1. is correct

2. 5x5x5

   =25x5

    =125

3. 10x10=100

    100/2

     =50

Hope this helps :)

Answer:

(3+2)*5 ---------> 5 squared

5 cubed --------> 125

10 squared divided by 2 ---------> 50

Step-by-step explanation:

First of all, you don't need to beg. It's all right. You got this!

This question is asking us to simplify what is on the left and match it to the right.

(3+2)*5

5*5= 25

5 squared is 5*5 which is equal to 25

5 cubed is 5*5*5 which is equal to 125

10 squared divided by 2

10*10= 100

100/2= 50

Hope this helps!

Answer:

0 ≤ x ≤ 8

Step-by-step explanation:

Given

4 ≤ x + 4 ≤ 12 ( subtract 4 from each of the 3 intervals

0 ≤ x ≤ 8

Answer:

boom ganag

Step-by-step explanation:

Answer:

Guang reports a higher density of 4.5 × 10⁷ bacteria/m²

Step-by-step explanation:

Since Guang reports a density of 4500 bacteria per square centimeter and Orion reports a density of 50 bacteria per square millimeter, we convert both densities into bacteria per square meter to compare their values.

So, for Guang 4500 bacteria/cm² = 4500 bacteria/cm² × 10⁴ cm²/1 m² = 4500 × 10⁴ bacteria/m² = 4.5 × 10⁷ bacteria/m²

For Orion 50 bacteria/cm² = 50 bacteria/cm² × 10⁴ cm²/1 m² = 50 × 10⁴ bacteria/m² = 5 × 10⁵ bacteria/m²

Since 4.5 × 10⁷ bacteria/m² > 5 × 10⁵ bacteria/m², Guang reports a higher density of 4.5 × 10⁷ bacteria/m²

Answer:

B.) orion reports a higher desity than guang

Step-by-step explanation:

We found that Guang's reported density is 45 bacteria/ millimeter^2, while orion's reported density is 50 bacteria/ millimeter^2.

Answer:

20 riders can ride per minute.

Step-by-step explanation:

The picture says to divide to find the number of riders. If we apply this here, we can see that 1200 ÷ 60 is 20.

The reasoning behind this is:

There are 60 minutes in an hour.

If the park ride lasts a minute, then the ride can have 60 rides per hour.

The question states that the ride can have up to 1200 riders per hour, so you need to divide 1200 by 60.

1200 ÷ 60 = 20.

The difference between a theorem and a conjecture :-

Theorem :- Something which is true and can be proved .

I am giving a very simple example here .

Angle sum theorem :- sum of all angles in a triangle will be equal to 180° .

This is a theorem because every interior angle of a triangle will add up to 180° . It cannot change .

So , something that is definitely true and can be proved is a theorem .

Conjecture :- Something that is supposed to be true , but still hasn't been proved to be true .

Example :-

1a = 10

2a = 20

3a = 30

With this you can guess that 4a must be equal to 40 , but it can't be proved without using algebra .

Therefore , something which is likely to be true is a conjecture ( in maths ) .

Answer:

The cost will be $1662.136  

The total square ft of carpeting will be 231.1122ft^2    

Step-by-step explanation:

For the bedrooms,  the dimension from the image is shown as(see attahced)

Bedroom #2= 10"8' x10"4'

Bedroom #3= 10"8' x11"4'

let us convert all dimension to feet and solve for the area of the bedrooms

Bedroom #2= 10"8' x10"4'

Bedroom #2=10.67x10.33feet

Area of Bedroom #2= 110.2211ft^2

Bedroom #3 = 10"8' x11"4'

Bedroom #3 =10.67x11.33feet

Area of Bedroom #3= 120.8911ft^2

The total area of both rooms is

Total area=110.2211+120.8911

Total area=231.1122ft^2

now the cost of one square floor s $8.99

hence the cost of 231.1122ft^2 will be

Cost of carpet = 231.1122*8.99

Cost of carpet = $2,077.67

Given that, because you are a contractor, you will receive 20% off

therefore it will cost

= (20/100)*2,077.67

=0.2*2,077.67

=$415.534

The cost will now be  $2,077.67-$415.534

= $1662.136

Answer:

B: billie's solution is incorrect since she didnt  

subtract 36 from both sides

Step-by-step explanation:

on the second step, she added 36 on the right.

This is incorrect because when changing one

side on an equation you must change the side

in the same way.

Answer:

B. Billie's solution is right

Answer:

Step-by-step explanation:

From the given information:

Social security taxes can be calculated as:

$128,400 - $128,120

= $280

Also, we know that the current monthly salary = $13, 400

So, social security tax is withheld by $280

This implies that:

Social security taxes = 280 × 0.062

= $17.36

The medical care taxes will now be:

= $13,400 × 1.45%

= $194.30

Using the percentage method to calculate the federal income tax; we have:

Use the tax bracket from 2017, marginal tax rate = 28%

∴

federal income tax = $13400 × 0.028

federal income tax = $3752

Answer: 432 ft^2

Step-by-step explanation:

See attached picture

Answer:

f(5) = -1

Step-by-step explanation:

f(5) is x = 5.

When x = 5, y = -1.

Therefore, f(5) = -1

Answer:

9.= D

10.= 3.5

Step-by-step explanation:

Answer:

Sam's thinking was incorrect.

On number first we have to move 10 units from 0 in positive direction after that negative sign means move in left direction.

But we have 2 negative signs so we need to move 6 units more on positive or right direct as shown below.

Step-by-step explanation:

Answer:

No, Sam was thinking was incorrect

Step-by-step explanation:

Sam's thinkin was incorrect when every time you add and negative to a negative it always become a positive number.

10 - (-6)

10 + 6 = 16

Answer:

14

Step-by-step explanation:

42-28

Answer:

first you subtract 2 from both sides

-6x>18

then you divide

-6 by 18 which is -3 and since you divided with a decimal that flips your sign so your answer is X<-3

Answer:

x<-3

Step-by-step explanation:

First, write the equation and subtract 2 on both sides.

-6x+2>20

     -2  -2

-6x>18

Divide both sides by -6.

-6x>18

/-6  /-6

x<-3

(Remember, we have to flip the sign when multiplying or diving by a negative.)

Hope this helps! Have an amazing day C:

Answer:

D

Step-by-step explanation:

Volume= 1/2 (b*h*l)

((5*3*10)/2 = 75 Units^3

Answer:

13a_29

Step-by-step explanation:

group like terms

Answer:

Cost: $11.50, $13, $14.50, $16, $17.50

Step-by-step explanation:

the pizza's 10 + 1.50x

its always 10 plus the price of the toppings

(x is the amount of toppings)

Answer:

The answer should be 3/22.

Step-by-step explanation:

To multiply the fractions, multiply the numerators and denominators separately.

3 times 1 over 4 times 8,

Multiply straight across,

Answer should be 3/22

The 3/4 times 1/8 equals 3/32.

To calculate the product of fractions, you multiply the numerators together to get the numerator of the result, and multiply the denominators together to get the denominator of the result.

For 3/4 times 1/8:

Numerator: 3 × 1 = 3

Denominator: 4 × 8 = 32

To know more about equals here

https://brainly.com/question/33293967

#SPJ6

Answer:

Hi there!

Your answer is:

x-9y +41

Step-by-step explanation:

4x-5x+7-9y+2x+34

COMBINE LIKE TERMS!

First, X

4x-5x+2x

-1x+2x

x

x+7-9y+34

Next, whole numbers

7+34

41

x-9y +41

Answer:

c≥5

Step-by-step explanation:

hope that helps :)

Step-by-step explanation:

[tex] \frac{ {4}^{7} }{ {4}^{6} } [/tex]

= 4

.......

Answer:

X<-2

Step-by-step explanation:

Answer:

x<-2

Step-by-step explanation:

1. Write equation

4-2x>8

2. Combine like terms

-2x>4

3. Divide(and switch ineqaulity sign because the coefficent is negative)

-2x<4

x<-2