Jessica had 289 dollars to spend on 7 books. After
buying them she had 16 dollars. How much did each book cost?

The units of [tex]r'(t)[/tex] are gallons per square hour.

Dimensionally speaking, [tex]r(t)[/tex], expressed in gallons per hour, is length raised to third power divided by time. Capacity units are volume units.

As rate of change represents the instantaneous change of [tex]r(t)[/tex] in time, then we find that units are length raised to third power divided by time raised to second power.

Hence, the units of [tex]r'(t)[/tex] are gallons per square hour.

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Answer:

Triangle I think

Step-by-step explanation:

Answer:

Step-by-step explanation:

triangle

Answer:

[tex]3 \frac{3}{7} \\ = \frac{24}{7} \\ [/tex]

[tex]The \: reciprocal \: of \: \frac{24}{7} = \frac{7}{21} .[/tex]

Answer:

Step-by-step explanation:

Equation of the line

[tex]\\ \sf\longmapsto y=mx+b[/tex]

[tex]\\ \sf\longmapsto y=4x+4[/tex]

The number of tons of corns grown on the farm is given my a multiple of

the number of acres planted.

The number of tons of corn predicted per 5 acres planted = 20 tons

Therefore, we have;

The completed table is presented as follows;

[tex]\begin{tabular}{c|c|c}\underline{Number of Acres Planted with Corn}&\underline{4 tons per acre} &\underline{Tons of Corn Grown}\\5&5 \times 4&20\\10&10 \times 4&40\\15&15 \times 4&60\\20&20 \times 4&80\end{array}\right][/tex]

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Answer:

-1/6

Step-by-step explanation:

(2/3-1)/2

(-1/3)/2

-1/6

Step-by-step explanation:

check the attached file

Answer:

1) 2n + 1 = 17

2) n - 3 = 12

3) 3n = 2n + 5

4) 2n + 2 = n + 8

Step-by-step explanation:

Use "n" to represent the unknown number.

For question one:

we double the number → 2n

then we increase (add) by one → + 1

is (equal) to seventeen → = 17

For question two:

three less (minus) than a number is (equals) twelve → n - 3 = 12

Question three:

triple (times 3) a number is the same (equal) as double (times 2) the number increased (add) by five → 3n = 2n + 5

Question four:

double (times two) a number increased (add) by two is (equals) the same as the sum (add) of the number and eight → 2n + 2 = n + 8

Step-by-step explanation:

the general equation of a line is

y = ax + b

a is the slope of the line.

b is the y-intercept (the point, where the line crosses the y-axis, meaning the y value when x=0).

we get b by using the point coordinates in the equation and solve for b :

6 = -3×4 + b = -12 + b

18 = b

so, the full line equation is

y = -3x + 18

which is answer C : 3x + y = 18

Answer:

X = 2/3 and Y = 3

Step-by-step explanation:

Matrix: 3 -1 -1

-3 5 13

Main determinant:

| 3 -1 |

| -3 5| = 12

Dx: |-1 -1|

|13. 5| = 8

X = 8/12 = 2/3

Determinant y:

|3 -1|

|-3 13| = 36

Y = 36/12 = 3

Answer:   X = -(1/2) AND X = (3/2)

Step-by-step explanation:

4x^2 – 2x – 3 = 2x

4x^2 – 4x – 3 = 0

(2x+1)(2x-3) = 0

1.  (2x+1) = 0

    2x = -1

      X = -(1/2)

2.  (2x-3) = 0

      2X = 3

         X = (3/2)

x² = (1,5)² + (1,5)²

x² = 2,25 + 2,25

x² = 4,5

x = 2,1m

[tex]\bold{\underline{Solution : -}}[/tex]

[tex]\sf x^2 = (1.5)^2 + (1.5)^2 [/tex]

[tex]\sf x^2 = 2.25 + 2.25 [/tex]

[tex]\sf x^2 = 4.5 [/tex]

[tex]\sf x = \sqrt{4.5} \approx 2.1[/tex]

Area models are used to evaluate products and divisions

[tex]\mathbf{79 \div 7 = 11\ R\ 1}[/tex] is false

The division equation is given as:

[tex]\mathbf{79 \div 7 = 11\ R\ 1}[/tex]

Express 79 as 77 + 2

[tex]\mathbf{(77 + 2) \div 7 = 11\ R\ 1}[/tex]

Split the expression on the left-hand side

[tex]\mathbf{77 \div 7+ 2 \div 7 = 11\ R\ 1}[/tex]

Divide 77 by 7

[tex]\mathbf{11+ 2 \div 7 = 11\ R\ 1}[/tex]

2 divided by 7 is 0 with a remainder of 2

So, we have:

[tex]\mathbf{11\ R 2 = 11\ R\ 1}[/tex]

The equations above are not equal.

This is represented as:

[tex]\mathbf{11\ R 2 \ne 11\ R\ 1}[/tex]

Hence, [tex]\mathbf{79 \div 7 = 11\ R\ 1}[/tex] is false

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Answer:

Step-by-step explanation:

If the long segments have the same ratio as the short segments, then corresponding sides of the large and small triangles are proportional.

  LG/MH = 12.5/10 = 1.25

  GN/HN = 40/32 = 1.25 . . . . so the triangles are similar

__

The proportional side pairs are LN and GN, MN and HN. Angle N is between those side pairs, so the SAS criterion applies.

Since corresponding vertices are (L, G), (M, H), and (N, N). ∆GHN will be similar to ∆LMN.

Answer:

12/16 9/12

3/4

Step-by-step explanation:

12/16 = 15/20 = 9/12

scale factor = 3/4

Answer:

The other fractions are [tex]\frac{9}{12}[/tex] and [tex]\frac{15}{20}[/tex].

the scale factor is [tex]\frac{3}{4}[/tex].

Each of the sides on XYZ are 3/4 of the corresponding sides on ABC.

They would both have the same number of books after 6 months.

The number of books they would have is 33.

This expression can be used to determine the number of books Suzanne would have after x months: 15 + 3x

This expression can be used to determine the number of books Jack would have after x months: 57 - 4x

In order to determine the month in which both people would have the same number of books, equate both expressions.

15 + 3x = 57 - 4x

Combine similar terms

3x + 4x = 57 - 15

7x = 42

Divide both sides b y 7

x = 6

Number of books they would have : 15 + 3(6) = 15 + 18 = 33

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Answer:

Step-by-step explanation:

Answer:

Betty is 15.

Mike is 5.

Step-by-step explanation:

We can let Betty's age be b and Mike's age be m.

Since Betty's age is 3 times of Mike, then

[tex]b=3m[/tex]

In 5 years, the age of Betty and Mike would be [tex]b+5[/tex] and [tex]m+5[/tex] respectively.

Since Betty is 2 times as old as Mike then, then [tex]b+5=2(m+5)[/tex].

We know that [tex]b=3m[/tex], so we can substitute that:

[tex]3m+5=2(m+5)[/tex]

Expand:

[tex]3m+5=2m+10[/tex]

Subtract 5 from both sides:

[tex]3m+5-5=2m+10-5[/tex]

[tex]3m=2m+5[/tex]

Subtract 2m from both sides:

[tex]3m-2m=2m+5-2m[/tex]

[tex]m=5[/tex].

Mike is 5 years old.

Since Betty is 3 times as old as Mike, Betty's age is [tex]5*3=15[/tex]

Answer:

If zero is considered to be positive, the answer is zero (0).

otherwise

562 negative consecutive integers, then 0, then 562 positive consecutive integers has a sum of zero (0).

Moving the start, the smallest integer up 1 adds 1125 to the sum.

1125 = 9 * 125

1125 = 9 * 5³

= 9³ * 5³ is the smallest sum

= 45³

= 91125

Therefore the smallest  possible sum is 91125

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Answer:

x=2, y=3

Step-by-step explanation:

First, graph both equations on a rectangular coordinate system (see attached screenshot). Then, simply figure out where these two lines intersect. Since they intersect at (2,3), x=2 and y=3.

Plugging these values in the equations for x and y, you can see if these are the correct answers:

(3)=3(2)-3, (2)+(3)=5

Since both of these are true, you have the right answer.

Answer:

-3 ≤ x ≤ 0

Step-by-step explanation:

2x + 3 ≤ 3

2x ≤ 0

x ≤ 0

-2x - 3 ≤ 3

-2x ≤ 6

x ≥ -3

Answer:

graph ab

Step-by-step explanation:

Answer:

-1

Step-by-step explanation:

Using the formula to find gradient or slope:

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

Using any two points from the graph: (-2, 0) (0, -2)

Substitute this into the equation to get the answer of -1.

Answer:

22100

Step-by-step explanation:

First you would add the truckloads of concrete for both playgrounds (3 5/8 + 3 5/8 + 1 9/10). Then you would divide that by 1/2. Finally multiply that number by 2000. (Pls mark me the brainliest)