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3 years ago

John is a quarterback. This year, he completed 350350 passes, which is 70\%70% of all the passes he's attempted this year.

1 answer:

3 0

X represents the number of all passes for the year.
350 passes =70% of all the passes
350 passes =70% of x
0.70x =350
By solving we find
X= 500 passes

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A barrel contains 15 1/3 liters of water. 3/4 of the water was used to water plants.

liq [111]

Change the 15 1/3 to an improper fraction (46/3). Next multiply this by (3/4).
(46/3)(3/4) = 46/4 = 23/2 = 11.5 gallons was used to water the plants

15 1/3 - 11 1/2 = 46/3 - 23/2 = 92/6 - 69/6 = 23/6 = 3 5/6 gallons of water are left in the barrel

5 0

2 years ago

Solve the inequality 15 ≥ q + 3

oksano4ka [1.4K]

Answer:

$q\le \:12$

Step-by-step explanation:

<u>Solving</u>

$\mathrm{Switch\:sides}$ (Not a required step)

$q+3\le \:15$

$\mathrm{Subtract\:}3\mathrm{\:from\:both\:sides}$

$q+3-3\le \:15-3\\=q\le \:12$

$\bold{q\le \:12}$

<u>Graphing</u>

5 0

2 years ago

Based on the work shown on the right, check all of the possible solutions of the equation.

Mazyrski [523]

Incomplete question. However, here is a similar question attached.

Solve 3x^2 + 17x - 6 = 0.

Based on the work shown to the left, which of these values are possible solutions of the equation? Check all of the boxes that apply

A X=-6

B X=6

C X=-1/3

D X=1/3

E X=0

Answer:

A and D

Step-by-step explanation:

Note that such question requires using completing the square method of solving equations. By using the values X= -6 and X= 1/3 we arrive at a solution.

7 0

3 years ago

Which products result in a difference of squares? Check all that apply.

Amanda [17]

Answer:

2nd - (w - 5)(w + 5)

4th - (-4v - 9)(-4v + 9)

Step-by-step explanation:

1. The first option shows an expression multiplied by its opposite(x -1), so therefore, it does not show the difference of squares

2. The second option does show the difference of squares because it is in the form (a + b)(a - b)

3. The third option is just a square because the same expression is multiplied by itself.

4. The fourth option is the difference of squares because it is in the form (a + b)(a - b). a equals -4v and b equals 9 in this case.

5. The fifth option is not the difference of squares. No term in common in both expressions

6. The sixth option is just a square because the same expression is multiplied by itself.

In all, there are two options that are the difference of squares, the 2nd and 4th.

5 0

3 years ago

the area of a square whose sides have length x cm is increasing at the rate of 12cm²/s. how fast is the length of a side increas

katovenus [111]

Answer:

0.67 cm/s

Step-by-step explanation:

The area of a square is given by :

$A=x^2$ ....(1)

Where

x is the side of a square

$\dfrac{dA}{dt}=12\ cm^2/s$

Differentiating equation (1) wrt t.

$\dfrac{dA}{dt}=2x\times \dfrac{dx}{dt}$

When A = 81cm², the side of the square, x = 9 cm

Put all the values,

$12=2\times 9\times \dfrac{dx}{dt}\\\\\dfrac{dx}{dt}=\dfrac{2}{3}\\\\\dfrac{dx}{dt}=0.67\ cm/s$

So, the length of the side of a square is changing at the rate of 0.67 cm/s.

4 0

2 years ago