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2 years ago

Gracie drove 280 miles in 2.5 hours. How long will it take her to drive 710 miles at that same speed?

Mathematics

1 answer:

Lerok [7]2 years ago

5 0

Answer:

6.34 hours

Step-by-step explanation:

$speed = \frac{distance}{time} \\ = \frac{280}{2.5} \\ = 112 \: miles \: per \: hour \\ time = \frac{distance}{speed} \\ = \frac{710}{112} \\ = 6.34 \: hours$

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A factory packed 9600kg of flour in to small bags and large bags. Each small bag contained 3kg of flour and each large bag conta

yawa3891 [41]

Answer:

696 large bags of flour were packed.

Step-by-step explanation:

Let large bags of flour be 'y'

Let small bags of flour be 'x'. That is x=2040 (according to the question)

$(3 \times x) + (5 \times y) = 9600$

$(3 \times 2040) + ( 5 \times y) = 9600$

$(6120) + (5 \times x) = 9600$

$(5 \times x) = 9600 - 6120$

$(5 \times x) = 3480$

$x = 3480 \div 5$

$x = 696$

HOPE IT HELPS

#PEACE

5 0

2 years ago

Rewrite the system of linear equations as a matrix equation AX = B.

iren2701 [21]

Answer:

$\left[\begin{array}{ccc}1&2&5\\1&1&1\\4&6&5\end{array}\right]*\left[\begin{array}{ccc}x1\\x2\\x3\end{array}\right]=\left[\begin{array}{ccc}5\\6\\7\end{array}\right]$

Step-by-step explanation:

Let's find the answer.

Because we have 3 equations and 3 variables (x1, x2, x3) a 3x3 matrix (A) can be constructed by using their respectively coefficients.

Equations:

Eq. 1 : x1 + 2x2 + 5x3 = 5

Eq. 2 : x1 + x2 + x3 = 6

E1. 3 : 4x1 + 6x2 + 5x3 = 7

Coefficients for x1 ; x2 ; x3

From eq. 1 : 1 ; 2 ; 5

From eq. 2 : 1 ; 1 ; 1

From eq. 3 : 4 ; 6 ; 5

So matrix A is:

$\left[\begin{array}{ccc}1&2&5\\1&1&1\\4&6&5\end{array}\right]$

And the vector of vriables (X) is:

$\left[\begin{array}{ccc}x1\\x2\\x3\end{array}\right]$

Now we can find the resulting vector (B) using the 'resulting values' from each equation:

$\left[\begin{array}{ccc}5\\6\\7\end{array}\right]$

In conclusion, AX=B is:

$\left[\begin{array}{ccc}1&2&5\\1&1&1\\4&6&5\end{array}\right]*\left[\begin{array}{ccc}x1\\x2\\x3\end{array}\right]=\left[\begin{array}{ccc}5\\6\\7\end{array}\right]$

7 0

3 years ago

The function f(t)=3,502.86(1.15)(t−12) models the amount of money in Gavin's investment account after t years. Gavin says this m

liraira [26]

Answer: Yes, because 3502.86 is multiplied by the exponent. i think, because i was stuck between that and the other yes, and the other yes was wrong, so im pretty sure its that.

Tell me if im right.

Step-by-step explanation:

5 0

2 years ago

The graph shows the prices, in dollars, of different numbers of pies at Erik's store. The table shows the prices, in dollars, of

expeople1 [14]

Answer:

Step-by-step explanation:

The graph shows the prices, in dollars, of different numbers of pies at Erik's store. The table shows the prices, in dollars, of different numbers of doughnuts at the same store. A graph shows Number of Pies on x-axis and Price of Pies on y-axis. The x-axis scale is shown from 0 to 12 at increments of 2, and the y-axis scale is shown from 0 to 160 at increments of 20. A straight line joins the ordered pairs 2, 20 and 4, 40 and 6, 60 and 8, 80 and 10, 100 and 12, 120. Doughnuts Number of Doughnuts Price of Doughnuts (dollars) 2 6 4 12 6 18 8 24 How many dollars more is the price of a pie than the =doughnut at Erik's store? $2 $3 $6 $7The graph shows the prices, in dollars, of different numbers of pies at Erik's store. The table shows the prices, in dollars, of different numbers of doughnuts at the same store. A graph shows Number of Pies on x-axis and Price of Pies on y-axis. The x-axis scale is shown from 0 to 12 at increments of 2, and the y-axis scale is shown from 0 to 160 at increments of 20. A straight line joins the ordered pdoughnut at Erik's store? $2 $3 $6 $7The graph shows the prices, in dollars, of different numbers of pies at Erik's store. The table shows the prices, in dollars, of different numbers of doughnuts at the same store. A graph shows Number of Pies on x-axis and Price of Pies on y-axis. The x-axis scale is shown from 0 to 12 at increments of 2, and the y-axis scale is shown from 0 to 160 at increments of 20. A straight line joins the ordered pairs 2, 20 and 4, 40 and 6, 60 and 8, 80 and 10, 100 and 12, 120. Doughnuts Number of Doughnuts Price of Doughnuts (dollars) 2 6 4 12 6 18 8 24 How many dollars more is the price of a pie than the price of a doughnut at Erik's store? $2 $3 $6 $7The graph shows the prices, in dollars, of different numbers of pies at Erik's store. The table shows the prices, in dollars, of different numbers of doughnuts at the same store. A graph shows Number of Pies on x-axis and Price of Pies on y-axis. The x-axis scale is shown from 0 to 12 at increments of 2, and the y-axis scale is shown from 0 to 160 at increments of 20. A straight line joins the ordered pairs 2, 20 and 4, 40 and 6, 60 and 8, 80 and 10, 100 and 12, 120. Doughnuts Number of Doughnuts Price of Doughnuts (dollars) 2 6 4 12 6 18 8 24 How ma=

8 0

2 years ago

Adding and subtracting the given polynomials

Usimov [2.4K]

You have to combine like terms, so the variable (x, y, s, d, c....) and the exponents must be the same in order to combine them.

For example:

x² + x³ Since they don't have the same exponent, you can't combine them

y² + 3y² = 4y²

23x + x = 24x

4. 2s² + 1 + s² - 2s + 1 You can rearrange it if it makes it easier

2s² + s² - 2s + 1 + 1 = 3s² - 2s + 2

5. 5t² - 2t - 1 - (3t² - 5t + 7) Distribute/multiply the - to (3t² - 5t + 7)

5t² - 2t - 1 - 3t² + 5t - 7 = 2t² + 3t - 8

Do the same for #9 and #10, and you should get:

9. 2k² + 5k - 9

10. 6y³ - 7y² - 6y - 12

3 0

3 years ago