Which weighs more: a watermelon that weighs 7.5 kilograms or a baby that weighs 12
pounds? Explain your reasoning. Note: 1 pound is about 0.45 kilograms.

Answer: 32 ft²

Step-by-step explanation:

The area of a trapezoid is calculable using the formula:

= (a + b)/ 2 * height

Where a and b are the base lengths.

= (1 + 7) / 2 * 8

= 8/2 * 8

= 4 * 8

= 32 ft²

Answer:

Step-by-step explanation:

Given functions f(x) and g(x). f(x) is:

Converted into vertex form, it is:

g(x) has vertex at (-2, -14), it's vertex form is:

Comparing f(x) and g(x) we see both have same x- coordinate of the vertex (x = -2).

Both have positive leading factors, therefore the vertex is their minimum point.

Function f(x) has vertex above the x-axis as y-coordinate of the vertex is positive. Hence no intersection with x-axis.

Function g(x) has negative y-coordinate of the vertex, so it has two intersections with x-axis.

Correct choice is A

Answer:a

Step-by-step explanation:

Did it

Answer:

Answer is D (2 drinks and 5 hotdog's)

Step-by-step explanation: 1st answer is over as it is $19.25 for only the hotdogs. 2nd is $18.50 which is a little over. 3rd one is $22.25. And the forth one is $16.75 which is perfect because he cant buy anything else with the remainder of his money.

You can use trial and error for 3 drinks and 2 drinks and can see how many hot dogs are available for Jacob to buy in $18 budget.

Jacob, with $18 dollars for food, under given conditions, can buy:

Option D: 2 drinks and 5 hot dogs.

This can be modeled by mathematical expression with use of variables, and inequality.

Suppose that you can by [tex]x[/tex] drinks and [tex]y[/tex] hot dogs, then their amount should not exceed $18 and they should try to use that $18 as much as they can.

Since 1 drink costs $1.5 and 1 hot dog costs $2.75, thus,

[tex]1.5x + 2.75y \leq18[/tex]

For 2 drinks:

Since x = amount of drinks = 2, thus from the obtained inequality, we have:

[tex]1.5x + 2.75y \leq 18\\1.5 \times 2 + 2.75y \leq 18\\2.75y \leq 18 - 3\\y \leq \dfrac{15}{2.75}\\\\y \leq 5.555...\\y = 5[/tex]

We took y = 5 since it is closest integer less than 5.55... since we cannot buy drink or hot dog in decimal points generally and cannot spend more than $18

Thus, if Jacob buys 2 drinks, then he can by 5 hot dogs at max.

For 3 drinks:

Since drinks' amount increased, then hot dogs amount will have to decrease to keep them together under $18. And since in 2 drinks Jacob could by 5 hot dogs, thus, now he will have to buy less than 5 hot dogs, which are not given in options.

Thus,

Jacob, with $18 dollars for food, under given conditions, can buy:

Option D: 2 drinks and 5 hot dogs.

Learn more about inequalities here:

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Answer:

(2x−1)(2x−1)

Step-by-step explanation:

Factor 4x2−4x+1

4x2−4x+1

=(2x−1)(2x−1)

Answer:

10 teeth must go on the driven gear

Step-by-step explanation:

Let the number of teeth be x

In order for the new product to maintain the same ratio as the old the ratio must remain the same. This means that

17:5 = 34:x

[tex]\frac{17}{5} = \frac{34}{x}\\Now\ let\ us\ cross-multiply\\17 \times x = 5 \times 34\\17x = 170\\dividing\ both\ sides\ by\ 17 \\x = \frac{170}{17} \\x = 10[/tex]

∴ 10 teeth must go on the driven gear

hence ratio = 34:10

Answer:

its 4 or d

Step-by-step explanation:

hope this helps!

please mark me brainliest! thanks!

4 and -12 are equal to -48

Answer:

Step-by-step explanation:

A recipe uses 214 cups of flour for a batch of cookies. Henry makes 10 batches of cookies for a bake sale.

A model shows a total of c cups divided into 10 sections, each labeled 2 and 1 fourth.

Part A

Which equation models the total number of cups of flour, c, Henry needs?

c+214=10

214×c=10

10+c=214

214×10=c

Part B

How many cups of flour does Henry need?

2014cups

2212cups

2434cups

2512cups

Part C

Estimate how much flour Henry would need to make 15 batches of cookies. Explain.

I would round 214 to 2, so Henry would need about 30 cups of flour.

I would round 214 to 3, so Henry would need about 45 cups of flour.

I would round 214 to 1, so Henry would need about 15 cups of flour.

I would round 214 to 234, so Henry would need about 30 cups of flour.​

Answer:

1st is True, I'm pretty sure

Step-by-step explanation:

Answer:

y=-2x+2

Step-by-step explanation:

Inverse of -2x+2 {x-2}{2}

Answer:

the early bird special plate is 52

Step-by-step explanation:

Let us assume the early bird special be x

And, regualr price be y

Now the equations are

x + y = 93

7x + 9y = 733

Now multiply by 7 in equation (1)

7x + 7y = 651

7x + 9y = 733

Now subtract these two equations

-2y = 82

y = 41

x = 93  - 41

= 52

hence, the early bird special plate is 52

Answer:20 months

Step-by-step explanation:

2% of 1000 is 20 1000-1400=400

400/20=20 so 20 months

Answer:

1 time

Step-by-step explanation:

8 x 1 = 8

8 x 2 = 16

Its bigger than 15.

Answer:

Step-by-step explanation:

It is a sphere with radius r = 5 cm

volume = (4/3)πr³

  = (4/3)π(5³)

  ≅ 523.60 cm³

Answer:

f(X)=7 X=1

X=2. f(X)=14

f(X)=21. X= 3

X=4. f(X)=28

X=5. f(X)=35

just substitute in the equation

Answer:2 1/3

Step-by-step explanation:2+5=7 3 divided by 7 equals 2 1/3

Answer:

4 dolars left

Step-by-step explanation:

im smart

Answer:

its a little hard sorry I dont know

Answer:

[tex] {x}^{16} {y}^{22} [/tex]

Step-by-step explanation:

multiple the top exponents by 3 and the u subtract the bottoms

Answer:

3/4 x = 2/3

If we multiply both sides by 4/3 we will have

x = 2/3 × 4/3 = 8/9 hour

[tex]52 \times 2 = 104[/tex]

The recipe told her to add 104 g of flour

//

Proof:

[tex]104 \times 0.50 = 52[/tex]

Answer:

So the answer is 12cm square

Step-by-step explanation:

Base is 6cm and hight is 4 so 6×4 is 24÷2 is 12

Answer:

A, C, and D

Step-by-step explanation:

2 + 3.5 - 1.5 = 4

Answer: The answer would be x = 19/3, 5/3

Step-by-step explanation:

Since we are finding the x intercepts, we must set the equation to equate 0. So:

0 = 3 |x-4| - 7

Then, we want to simplify the right side so it is just the absolute value, so lets start by adding 7 to both sides.

0 = 3 |x-4| - 7

+7              +7

7= 3 |x-4|

Now we divide both sides by 3.

7= 3 |x-4|

3        3

7/3 = |x-4|

Now, due to the properties of absolute value, we must solve this twice, since absolute value always leads to a positive value, we want to set up one equation where 7/3 is positive and one where it is negative.

7/3 = x-4        -7/3 = x-4

add 4 to both sides

7/3 = x-4        -7/3 = x-4

+4      +4          +4     +4

Then, you get your two x values

x= 6.333... or 19/3 AND x = 1.66666 or 5/3

Answer:

The slope is 25 and the y-intercept is 100

Step-by-step explanation:

With linear equations (y = mx + b), m is always the slope, which, in this case, is 25. It could also be written as [tex]\frac{25}{1}[/tex], although it's not necessary here

B is always the y-intercept, which is 100 here

Answer:

your  cat will be 12 your friend will be either 16 or 24

Step-by-step explanation:

Friend is 12 years old and cat is 4 years old.

Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side.

Given,

Cat is 8 years younger than your friend

Let age of friend be x

then, age of cat be x - 8

But In 4 years, your friend will be twice as old as your cat

x + 4 = 2(x - 8 + 4)

x + 4 = 2x - 16 + 8

x + 4 = 2x - 8

-2x + x = - 12

x = 12

Age of friend = 12 years

Age of cat = 12 - 8 = 4 years

Hence, 12 years is age of friend and 8 years is age of cat.

Learn more about equation here:

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