Round steak costs $6.95 per pound. Sara wants to buy 9.5 pounds of round steak which she estimates will cost $54. Which statement about Sara’s estimate is true?

1. Sarah rounded $6.95 and 9.5 up. $54 is enough money to buy the steak.
2. Sarah incorrectly multiplied 9 and 6. Her estimate should be $63.
3. Sarah rounded 9.5 up to 10. Her estimate of $54 is too high.
4. Sarah rounded $6.95 and 9.5 down. Her estimate of $54 is too low.

The firework is an illustration of the equation of a parabola.

The x-intercepts are 0 and 78, the y-intercept is 0, and the vertex is (39,760.5)

The casings hit the ground after 78 seconds.

This means that, a point on the graph is:

[tex]\mathbf{(x,y) = (78,0)}[/tex]

The firework exploded at a maximum of 760.5.

This means that, the vertex is:

[tex]\mathbf{(h,k) = (39,760.5)}[/tex]

The equation of a parabola is:

[tex]\mathbf{y = a(x - h)^2 + k}[/tex]

So, we have:

[tex]\mathbf{0 = a(78 - 39)^2 + 760.5}[/tex]

[tex]\mathbf{0 = a(39)^2 + 760.5}[/tex]

Subtract 760.5 from both sides

[tex]\mathbf{a(39)^2 =- 760.5}[/tex]

[tex]\mathbf{1521a =- 760.5}[/tex]

Solve for a

[tex]\mathbf{a =- \frac{760.5}{1521}}[/tex]

[tex]\mathbf{a =- 0.5}[/tex]

Substitute [tex]\mathbf{a =- 0.5}[/tex] and [tex]\mathbf{(h,k) = (39,760.5)}[/tex] in [tex]\mathbf{y = a(x - h)^2 + k}[/tex]

[tex]\mathbf{y = -0.5(x - 39)^2 + 760.5}[/tex]

See attachment for the graph of [tex]\mathbf{y = -0.5(x - 39)^2 + 760.5}[/tex].

From the graph:

From the equation:

Hence, the x-intercepts are 0 and 78, the y-intercept is 0, and the vertex is (39,760.5)

Read more about parabolas at:

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Answer: Even thought it’s the ultimate substrate it can be harmful to plants

Step-by-step explanation: it also reduces glucose for cellular respiration

Answer:

Answer is in the pic

Step-by-step explanation:

A translation is just a movement of the figure so in this case you just add 3 to the x part of the coordinate.

so originally k (-2,5)    m (-3,1)      l (1,1)

add 3 to x so

k (1,5)   m (0,1)   l (4,1)

Answer:

[tex]x=\pm i[/tex]

Step-by-step explanation:

[tex]3x^2+5=2[/tex]

[tex]3x^2=-3[/tex]

[tex]x^2=-1[/tex]

[tex]x=\pm i[/tex]

Answer:

x=19/2

Step-by-step explanation:

5/x+7=-2

5=-2(x+7)

5=-2x-14

5+14=-2x

19=-2x

Therefore

2x=-19

x=19/2

Answer:

i d k but now i want candles from bath and body works

Step-by-step explanation:

Answer:

Yes

Because

[tex] \frac{pn}{kr} = \frac{pt}{kg} = \frac{tn}{gr} = \frac{1}{2} [/tex]

Also all angles are equal

Answer:

Yes

Step-by-step explanation:

Angle are equal and the ratio of the sides is 2:1.

Using the principle of common difference , we can observe that the distance moved per roll increases by a constant amount of centimeters . Hence, the distance moved in the 5th roll is 180 cm

Setting up a proportional relationship :

The common difference between each roll can be obtained thus :

d2 - d1 = d3 - d2 = d4 - d3

60 - 20 = 100 - 60 = 140 - 100

40 = 40 = 40

Hence, the common difference = 40

The distance obtained on the fifth roll :

d(5) = d(4) + common difference

d(5) = 140 + 40

d(5) = 180

Therefore, the distance obtained on the fifth roll is 180 cm

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Answer:

ac = 18.5

Step-by-step explanation:

perimeter of a rectangle =  [tex]2(l+b)[/tex]

= 138m^2= 2(2x + 6 ) + 52

= 4x + 12 + 52 = 138  

= 4x + 64 = 138

= 4x = 138 - 64

= 4x = 74

= x =  74/4

= x = 18.5

Answer:

1. p->q

2. p<->q

3. :.p^q

Step-by-step explanation:

I hope this will help you

Step-by-step explanation:

8) 125=x+90° (exterior angle= sum of two opposite interior angle)

x= 35°

9) y=80° ( vertically opposite angle)

x= 180-50-80= 50°.

hope this helps you.

Answer:

ok?

Step-by-step explanation:

Answer:

what's your question even-

Answer:

2.4× 10^4

Step-by-step explanation:

you just sum 1.6 with 0.8

[tex]2.4 \times {10}^{4} [/tex]

Answer:

0 > -60

Step-by-step explanation:

Every negative number is less than 0

Answer:

No solution

Step-by-step explanation:

Each side of the equation,once distributed, has 5x.

The 5x's cancel out to x= x-5

Which is incorrect and has no solution.

Answer:

They have 763 baseball cards in total

Step-by-step explanation:

7×109=763

Answer:

They have 763 baseball cards in total (BRANILIST PLEASE!!!!)

Step-by-step explanation:

You just multiply the number of friends with the number of cards each person has.

Answer:

x = 50, y = 20.

Step-by-step explanation:

x + y = 70

x - y = 30

From the second equation x = 30 + y, so substituting this in the first equation:

30 + y + y = 70

2y = 70 - 30 = 40

y = 20

and x - 20 = 30

so x = 50.

Answer:

20 , 50

Step-by-step explanation:

The sum of two numbers is 70 ⇒ x + y = 70  -------------(I)

x = 70 - y  

Their difference 30 ⇒ x - y = 30  ----------(II)

Substitute x = 70 - y in equation (II)

70 - y - y = 30

Combine like terms

70 - 2y = 30

     -2y = 30 - 70

      -2y = -40

Divide both sides by (-2)

y = -40/-2

x = 20

Substitute the value of x in (I)

20 + y = 70

y = 70 - 20

y  = 50

Answer:

the y-intercept is 10

Step-by-step explanation:

Answer:

1. y=20x+100(this is the equation)

2. 260(this is how much he has after 8 weeks)

Step-by-step explanation:

Saving is the remaining money after all the expenditure. Thus, Johnny's total savings after 8 weeks will be $[tex]260[/tex].

Johnny is saving money to buy a Nintendo Switch.

He already saved the amount of $100.

He plans to save from his allowance each week is $20

The equation that represents the total savings is mentioned below.

[tex]y=20x+100[/tex]

Therefore, Substitute the values and solve them further.

[tex]y= (20\times 8) + 100[/tex]

[tex]y= 260[/tex]

Hence, Johnny's total savings after 8 weeks will be $[tex]260[/tex]

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Answer:

64 = 4x

64 divided by the total sides the garden has, 4

Answer:

1.81

Step-by-step explanation:

becase 4.51 -2.7 equls 1.81 its kinda simple

Answer:

Answer is 1.81

Step-by-step explanation:

The way you get this is by subtracting normally.⤵⤵⤵

[tex] \: \: \: \: 4.51 \\ \frac{ - 2.70}{} [/tex]

1 - 0 = 1

Since you can't subtract 7 from 5 you have to carry over from the next number (4). Take from 4, that leaves 3 in its place, and now you got an extra 1, so you can subtract 7 from 15 to get 8. Now subtract 2 from that 3 to get 1. That's how you get the answer 1.81 .

It's basically a normal subtraction problem, you just have to Remember to put the decimal point in the right place.

Hope this helped :)

Answer:

Step-by-step explanation:

an (the nth term ) = a1 + d(n - 1)

=  6 + 3(n - 1).

a17 = 6 + 3(17-1)

= 6 + 48

= 54.

Answer:

19

Step-by-step explanation:

(48 - 23) + 6 = 31

23 - 6 = 17

(48 - 23) -6 = 19

The answer for (1) is 31, the answer for (2) is 25, and the answer for (3) is 17.

It is defined as the diagram that shows a logical relation between sets.

The Venn diagram consists of circles to show the logical relation.

It is given that:

In a secondary school class, 23 pupils study Economics, 6 pupils study both Government and Economics. 48 pupils study either Government or Economics or both.

Based on the information we can draw a Venn diagram:

From the Venn diagram:

A + B = 17 + 6

A + B = 23

B = 6

A + B + C = 48

A = 23 - 6 = 17

C = 48 - 17 - 6

C = 25

The total number of pupils who only study Government = 25

The total number of pupils who study Government = 25 + 6 = 31

The total number of pupils who study Economics only = 17

Thus, the answer for (1) is 31, the answer for (2) is 25, and the answer for (3) is 17.

Learn more about the Venn diagram here:

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#SPJ2

Answer:

60

Step-by-step explanation:

S₄ = 4(4+1)(4+2) = 120

S₃ = 3(3+1)(3+2) = 60

4th term = 120-60=60

mean; 147

median; 147

mode; 152