Topic 9: Check Your Understanding

Answer:

The cat weighs more.

Step-by-step explanation:

1 pound is about 0.45 kilograms. If you convert 9lb to kilograms then you will get 4.08 kilograms, so the cat weighs 4.08 kilograms and the pumpkin weighs 3.2 kilograms, therefore the cat weighs more.

Answer: 3,6,9,12,15

Step-by-step explanation:

Im not sure how to explain this but if you listen to school house rock multiple of three song it helps.

Answer:

16a^21

Step-by-step explanation:

Answer:

16 a^21

Step-by-step explanation:

= (2a^3)^4 (a^3)^3

= (2^4 a^3*4) (a^3*3)

= (16a^12) (a^9)

= 16 a^21

Answer: -9/4

Step-by-step explanation:

First you subtract 7/2 from both sides of the equation

3x + 7/2 - 7/2= x - 1 - 7/2

Next what you do is simplify one you add 3 + 7/2 which is 9/2

Then you subtract X from both sides of the equation

3x - x = x - 9/2 - x

combine the terms

2x = -9/2

divide both sides of the equation by the same term

2x/2 = 9/2 / 2

cancel the terms and divide the numbers

x=-9/4

Answer:

Cooling Tower

A power plant consists of many components, but cooling towers are some of the most important. The function of a cooling tower is to release the excess heat (or waste heat) to the atmosphere by cooling down hot fluid (water, in most cases) to a lower temperature.

Step-by-step explanation:

Answer:

you need to spend 23 Dollars

Step-by-step explanation:

for a it's y=12x+60

for b it's y=1x+21

for c it would be) 40-70=-30/1-3=-2 and then divide -30/-2 is 15.

for d it would be y=20x+20

it would be ethier a or d

Answer:

get a nvidia 2600 rtx it a good graphics card and then get a i7 its a good cpu

Step-by-step explanation:

Answer:

c≤  24/25

​

Step-by-step explanation:

"0.3" was replaced by "(3/10)". 2 more similar replacement(s). Simplify 3/10

    61     3      

 (—— -  ——) -  (c + 1)  ≥ 0    then simplify 61/10

  10    10    

3.1       Adding fractions which have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

    61 - (3)                   29

————————  =  ——

     10                          5

29    

 —— -  (c + 1)  ≥ 0  

 5    

4.1   Subtracting a whole from a fraction

Rewrite the whole as a fraction using  5  as the denominator :

            c + 1     (c + 1) • 5

   c + 1 =  —————  =  ———————————

              1            5      

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Rewrite the whole as a fraction using  5  as the denominator :

                         c + 1     (c + 1) • 5

   c + 1 =  —————  =  ———————————

                             1            5    

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

                              29 - ((c+1) • 5)     24 - 5c

————————————————  =  ———————

                                          5                5

    24 - 5c

 ———————  ≥ 0  

      5    

Multiply both sides by  5  

5.2    Multiply both sides by (-1)

Flip the inequality sign since you are multiplying by a negative number

     5c-24  ≤ 0

5.3    Divide both sides by  5  

     c-(24/5)  ≤ 0

5.4      Add  24/5  to both sides

            c ≤ 24/5

Answer:

wehj

Step-by-step explanation:

Answer:

The ladder will go approximately 35.71 ft up the building.

Step-by-step explanation:

The 50 ft ladder is leaning against a building and the base of the ladder is 35 feet from the base of the building.

It means the ladder will form a right triangle with the building with the following dimensions:

Using the Pythagorean Theorem to determine the height,

[tex]a^2+b^2=c^2[/tex]

Here,

Substitute the given values into the equation to determine the height:

[tex]a^2+b^2=c^2[/tex]

[tex]a^2+\left(35\right)^2=\left(50\right)^2[/tex]

[tex]a^2+1225=2500[/tex]

[tex]a^2=1275[/tex]

[tex]\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]

[tex]a=\sqrt{1275},\:a=-\sqrt{1275}[/tex]

[tex]a\:=\:35.71,\:\:\:a\:=\:-35.71[/tex]

We know that height can not be negative. Thus,

[tex]a=35.71[/tex] ft

Therefore, the ladder will go approximately 35.71 ft up the building.

Answer:

5243 65 A

Step-by-step explanation:

Answer:1/2

Step-by-step explanation:

1/2

Answer:

( -3, -2 )

Step-by-step explanation:

Rate me branliest please :)

The true statement is that the equation has one solution; x = 0

We have:

2/3(6x – 3) = 1/2(6x – 4)

When 2 is added to both sides, the equation becomes

4x = 3x

Subtract 3x from both sides of the equation

x = 0

Hence, the equation has one solution; x = 0

Read more about equation solutions at:

https://brainly.com/question/14323743

Answer:

d, you go up for and over 3

Answer: See explanation

Step-by-step explanation:

A. Find the current sale price. Round to the nearest cent if necessary.

B) Members of the stores loyalty club can and additional 10% off their computer purchases. How much do club members pay for the computer with their discount.

A. Current sales price will be:

= $954 - (20% × $954)

= $954 - (0.2 × $954)

= $954 - $190.80

= $763.20

B. Club members will pay:

= $763.20 - (10% × $763.20)

= $763.20 - (0.1 × $763.20)

= $763.20 - $76.32

= $686.88

Answer:

Y=.833x-2

Step-by-step explanation:

correct y intercept and rise over run  gives you the slope.

Answer  )Step-by-step explanation:

y

−

6

=

3

(x

−

3)

Answer:

Step-by-step explanation:

Use the given point (3, 6)

But slope is not known, need it to be known or the second point to find it

Answer:

the answer is 1/2

Step-by-step explanation:

Mean is add up all the numbers and divide by how many numbers there is, so -(2+5-10+15)/4, which is 2/4 or 1/2 plz mark brainliest hope this helps

Answer:

73.3

Step-by-step explanation:

cos 39=(57/x)

x=57/cos 39

= 73.345=73.3

cos x =adjacent/hypotenuse

adjacent is side where angle is subtended

hypotenuse is the longest side of the triangle

I believe the answer is A

Answer:

25 should be the answer.

Step-by-step explanation:

Answer:

5 packs of eggs

3 packs of spoons

Step-by-step explanation:

Eggs are sold in packs of 6

Spoons are sold in packs of 10

The teachers want to have 1 egg for every spoon

Find the Lowest common multiple of 6 and 10

6 = 12, 18, 24, 30, 36, 42, 48, 54, 60

10 = 20, 30, 40, 50, 60

The lowest common multiple of 6 and 10 is 30

If the teachers want to buy exactly 30 spoons and have no leftovers

Eggs are sold in packs of 6

Number of packs needed = 30 /6

= 5 packs

Spoons are sold in packs of 10

Number of packs needed = 30/10

= 3 packs

The teacher will buy 5 packs of eggs and 3 packs of spoons to have exactly 30 spoons and have no leftovers

Answer:

99fht

Step-by-step explanation:

Answer: J) $68.30

Step-by-step explanation:

$273.2/4=$68.3 for each tire

Answer:

J) $68.30

Step-by-step explanation:

Because there are 4 tyres, you split $273.20 into 4 parts, which is $68.30. I hope this helps!

Answer:

If we have 8 * x + y + y:

We have to first substitute in x and y where they should be:

=> 8 * 9 + 10 + 10

According to the order of operations(PEMDAS(parenthesis, exponents, multiplication, division, addition, subtraction, multiplication and division is you go from left to right order, and same with addition and subtraction.)), we do the multiplication first(8*9):

=> 72 + 10 + 10

Now we just add them up:

=> 92

number 1:

[tex]x>\frac{-7}{2}[/tex]

number 2:

[tex]x>-1[/tex]