Find the 97th term of the arithmetic sequence 17, 26, 35, …

Answer:

[tex]22.5\:\text{minutes}[/tex]

Step-by-step explanation:

In 15 minutes, Jennifer has mowed [tex]\frac{2}{3}[/tex] of the lawn (given in problem). This means that it will take her [tex]\frac{3}{2}\cdot 15=22.5\:\text{minutes}[/tex] to mow the entire lawn, assuming a constant rate.

Equation:

Let [tex]x[/tex] represent the entire lawn:

[tex]\frac{2}{3}x=15,\\x=\frac{15}{\frac{2}{3}}=15\cdot \frac{3}{2}=\boxed{22.5}[/tex]

Answer: 130 kg 920 g

Step-by-step explanation:

Given

The weight of the goat is 59 kg  720 g

The combined weight of goat and cow is 190 kg 640 g

Suppose, the weight of the cow is x kg

We know, 1 kg=1000 g

Converting weight into kg

Goat weight

[tex]=59+0.720\\=59.720\ kg[/tex]

Total weight

[tex]=190+0.640\\=190.640\ kg[/tex]

Then, the cow weight is given by

[tex]\Rightarrow 190.640-59.720\\\Rightarrow 130.920\ kg\ \text{or}\ 130\ kg\ 920\ g[/tex]

Answer:

C is equivalent

Step-by-step explanation:

7/12*4/5

7*4/12*5

28/60

7/15

7/12/5/4

7/12*4/5

7*4/12*5

28/60

7/15

Answer:

A) 4.005*10^6

Step-by-step explanation:

Answer:

[tex]Area=94~sq~units[/tex]

Step-by-step explanation:

[tex]prism=2(lb+bh+hl)[/tex]

[tex]Given: l=5 ~units , b=4 ~units,h=3 ~units[/tex]

[tex]Area=2(5*4+4*3+3*5)[/tex]

[tex]=2(20+12+15)[/tex]

[tex]=2(47)[/tex]

[tex]=94[/tex]

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hope it helps...

have a great day!!

Answer:

your answer is 94 sq units

Step-by-step explanation:

hope it helps...

9514 1404 393

Answer:

  -4.2

Step-by-step explanation:

The linear term is missing from the quadratic, which means it is symmetrical about the vertical line x=0. For each x-intercept greater than 0, another is its opposite. The opposite of 4.2 is -4.2

The other x-intercept is -4.2.

__

Consider the parent function ...

  y = x^2

which is symmetrical about the y-axis.

Transforming it to ax^2 +k causes it to be scaled vertically by a factor of 'a', and shifted vertically up k units. Neither of these transformations affects the horizontal position of the curve, so it remains symmetrical about the y-axis. Attached is one example of a quadratic of this form with an x-intercept of 4.2.

Answer:

Cathy made 288 free throws out of 320 and 324 free throws out of 360

Step-by-step explanation

Answer:

12.5%

Step-by-step explanation:

Previous grams of protein = 48g

Present grams of protein = 54g

By what percentage did Amanda increase the amount of protein she eats?

Percentage increase in the amount of protein = (present grams - previous grams) / previous grams × 100

= (54g - 48g) / 48g × 100

= 6g/48g × 100

= 1/8 × 100

= 0.125 × 100

= 12.5%

Percentage increase in the amount of protein = 12.5%

Answer:

25.85 Euros

Step-by-step explanation:

1 US dollar = 0.55 Euros

0.55 x 47 = 25.85 Euros

Hope this helped :)

Answer:

25.85 Euros

explanation:

If 1 US dollar equals .55 Euros then 47*0.55=25.85 Euros

Answer:

21%

Step-by-step explanation:

8+7+8+6+6= 35 total marbles

35-2 used = 33 marbles left

100/33 = 3% per marble

7 yellow left x 3 % = 21%

Answer:

7/25

Step-by-step explanation:

Let's remove all the marbles that were drawn by the bag first. That makes...

Red: 6

Blue: 6

Purple: 6

Yellow: 7

If we have 7 yellow marbles currently in a bag of 25 marbles, then the chance that the third student draws a yellow is...

7/25

Answer: 81

Step-by-step explanation: The median is the middle number in a sorted, ascending or descending, list of numbers and can be more descriptive of that data set than the average. Write all of the numbers and cross out a even amount of numbers on both sides. Image 1 shows your problem. If your problem had another number, you solve it differently. Check image 2.

Answer:

65

Step-by-step explanation:

2x+15 = 145

2x = 145-15

2x = 130

x = 65

Answer:

I think x=65

Step-by-step explanation:

Since both of the angles are vertical to one another that would mean they are equal to each other. When writing 2x +15=145 you would solve for x.

Answer:

You forgot to send the question. Send the full question when you can

Answer:

Cyrus defeated Medes and the Babylonians.

More Info:

By the 6th century BC, the Medes had built a large empire that included the Persians to the east and the Assyrians to the west. However, in 550 BC Cyrus the Great of Persia conquered the Medes, acquiring Assyria in the process.

Answer:He will pay $9.50 for each shirt plus a one-time fee of $22.50 for the design.

Which equation can be used to find y, the total cost to buy x shirts?

A) y = 9.5x + 22.5

B) y =22.5x + 9.5

C) y = 9.5x - 22.5

D) y =22.5x - 9.5

He would use equation A.

Step-by-step explanation:If each shirt cost 9.50 you would multiply that by how many shirts you have plus the one time fee of 22.50 you would get the equation y= 9.5x + 22.5

Answer:

2(√17b³ )c⁵

Step-by-step explanation:

We are to simplify the expression given below

√68b³c¹⁰

Simplifying 68

= √(17 × 4)b³c¹⁰

Hence

= 2√17b³c¹⁰

= 2 √17b³ × √c¹⁰

= 2 √17b³ × c¹⁰/²

= 2(√17b³ )c⁵

sara is unlikely to score a point on her next turn

Answer:

the answer is the 3rd one

Answer:

x = number of students in each van = 16

y = number of students in each bus = 47

(bus, van) = (47, 16)

Step-by-step explanation:

Let

x = number of students in each van

y = number of students in each bus

This can be represented by the equation

7x + 6y = 394 (1)

3x + 12y = 612 (2)

Using elimination method

Multiply (1) by 2

14x + 12y = 788 (3)

3x + 12y = 612 (2)

Subtract (2) from (3) to eliminate y

14x - 3x = 788 - 612

11x = 176

x = 176/11

x = 16

Substitute x = 16 into (1)

7x + 6y = 394 (1)

7(16) + 6y = 394

112 + 6y = 394

6y = 394 - 112

6y = 282

y = 282/6

y = 47

x = number of students in each van = 16

y = number of students in each bus = 47

(bus, van) = (47, 16)

Answer:

2

Step-by-step explanation:

Let us name the white chips "W" and the black ones "B". If there are 9 tiles and 4 are in black then the rest, that is 5, in white, like this:

B-B-B-B-W-W-W-W-W

First movement, in turn we can flip 3 tiles, in this case we flip two blacks and one white, it would look like this:

W-W-B-B-B-W-W-W-W

The second movement is to turn the 3 black ones and thus they would all be blank

W-W-W-W-W-W-W-W-W

This means that, the smallest number of movements is 2.

The function that produces the sequence with n: [1,2,...,] is "f(n) = 9n + 17" (Option C). See the explanation below.

Note that we want a function which produces the sequence 26, 35, 44, 53, 62, if {1, 2, 3......n} is plugged into it.

Lets test the function with the integer 1:

9 (1) + 17

= 9+ 17

= 26 [Correct]

Lets true 2;

9(2) + 17

= 18 + 17

= 35 [Correct]

Lets try 3;

9 (3) + 17

= 27 + 17

= 44 [Correct]

Hence the selected function (Option C) is correct.

Learn more about sequences:
https://brainly.com/question/6561461
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Answer:

1- 22.5°

2- 45°

5- 112.5°

Step-by-step explanation:

[tex]180 \div 8 = 22.5[/tex]

[tex]22.5 \times 5 = 112.5[/tex]

[tex]22.5 \times 2 = 45[/tex]

[tex]22.5 \times 1 = 22.5[/tex]

Answer:

She is wrong

Step-by-step explanation:

in one gallon there is 128 ounces, and 2 would make it 256.

40 - 8 ounce cups would make it 320 ounces, therefore she would need 3 gallons at least.

Answer:

she is wrong

Step-by-step explanation:

in one gallon there is 128 ounces, and 2 would make it 256. 40 - 8 ounce cups would make it 320 ounces, therefore she would need 3 gallons at least.

Answer:

y=2x-5

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(3-1)/(4-3)

m=2/1

m=2

y-y1=m(x-x1)

y-1=2(x-3)

y=2x-6+1

y=2x-5

Answer:

y = mx+b

Step-by-step explanation:

Answer:

Step-by-step explanation:

Question 3

5 (k + 4) - 2k

Use distributive property of multiplication.

5k + 20 -2k

Combine like terms to get your answer.

3k +20

Question 4

2 (3 + d - 1)

Simplify the expression in the parenthesis.

2 (2 + d)

Use distributive property of multiplication.

4 + 2d

If you wanted it to be accepted at higher levels, switch the terms around.

2d + 4

Answer:

i think is 424. its what my mom just explain to me

Answer:

yes

Step-by-step explanation:

hopes this helped;0