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andrew-mc [135]

1 year ago

8

Write an equation showing the relationship between the number of baskets (b) made from outside the three-point line and the numb

er of points scored (p).

2 answers:

monitta1 year ago

8 0

P=3b
P(points scored) 3(three point line) B(baskets)

Scorpion4ik [409]1 year ago

4 0

P=3b

p is the total number of points scored. Since there are 3 points being scored, you multiply that by the number of baskets made, b.

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) Asuka travels at an average speed of 50 mph for 20 miles.

Anuta_ua [19.1K]

Answer: 41.86 miles/hour

Step-by-step explanation:

Use Distance = Speed*Time to find the two missing values with the data that is provided for those two cases [<em>in brackets</em>].

MPH MILES HOURS

50 20 [<em>0.4]</em>

[<em>40</em>] <u>70</u> <u>1.75</u>

Totals 90 miles 2.15 hours

Average = 90 miles/2.15 hours

41.86 mph

5 0

2 years ago

10. Emmilynn gets paid $975 each month. If she opens a savings account with a $100 check she

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3 years ago

The price of a 40-inch television is $268 plus 8% sales tax rate. What is the amount of the sales tax for the television, in dol

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3 0

1 year ago

I BEG YOU I WILL DO ANYTHING HELP algebraically solve the following system of equations. Show all your work

sertanlavr [38]

<h2>Answers:</h2>

Solving for x on the question - <em>2x + 3y = 32</em> |

Answer : x = $\frac{-3}{2}$ ⁻y + 16

Solving for y on the question - <em>2x + 3y = 32</em> |

Answer : y = $\frac{-2}{3}$ x + $\frac{32}{3}$

<h3></h3>

Solving for x on question - 5x - 4y = -81 |

Answer : x = $\frac{4}{5}$ y + $\frac{-81}{5}$

Solving for y on question - 5x - 4y = -81 |

Answer : y = $\frac{-5}{4}$ x + $\frac{81}{4}$

<h2>Step-by-step explanation:</h2>

<em>(Solving for x on question - 2x + 3y = 32)</em>

2x + 3y = 32

Step 1: Add -3y to both sides.

2x + 3y + −3y = 32 + −3y

2x = −3y + 32

Step 2: Divide both sides by 2.

$\frac{2x}{2}$ = $\frac{-3y+32}{2}$

<u>x = </u> $\frac{-3}{2}$ <u>⁻y + 16</u><u> </u>

<em>(Solving for y on question - 2x + 3y = 32)</em>

2x + 3y = 32

Step 1: Add -2x to both sides.

2x + 3y + −2x = 32+ −2x

3y = −2x + 32

Step 2: Divide both sides by 3.

$\frac{3y}{3}$ = $\frac{-2x+32}{3}$

<u>y = </u> $\frac{-2}{3}$ <u>x + </u> $\frac{32}{3}$ <u> </u>

<em>(Solving for x on question - 5x - 4y = -81)</em>

5x − 4y = −81

Step 1: Add 4y to both sides.

5x − 4y + 4y = −81 + 4y

5x = 4y − 81

Step 2: Divide both sides by 5.

$\frac{5x}{5}$ = $\frac{4y-81}{5}$

<u>x = </u> $\frac{4}{5}$ <u>y + </u> $\frac{-81}{5}$ <u> </u>

<em>(Solving for y on question - 5x - 4y = -81 )</em>

5x − 4y = −81

Step 1: Add -5x to both sides.

5x − 4y + −5x = −81 + −5x

−4y = −5x − 81

Step 2: Divide both sides by -4.

$\frac{-4y}{-4}$ = $\frac{-5x-81}{-4}$

y = $\frac{-5}{4}$ x + $\frac{81}{4}$

5 0

2 years ago

1) work out the value of (1.7x10^4)x (8.5x10^-2) give your answer in standard form.

Mashutka [201]

ANSWER TO QUESTION 1

$(1.7\times 10^4)\times(8.5\times 10^{-2})$

We rewrite to obtain;

$(1.7\times 10^4)\times(8.5\times 10^{-2})=(1.7\times 8.5)\times(10^4\times 10^{-2})$

Recall this product law of indices

$a^m\times a^n=a^{m+n}$

we apply this law to obtain,

$(1.7\times 10^4)\times(8.5\times 10^{-2})=14.45\times10^{4+-2}$

This simplifies to

$(1.7\times 10^4)\times(8.5\times 10^{-2})=14.45\times10^{2}$

We need to rewrite this in standard form;

$(1.7\times 10^4)\times(8.5\times 10^{-2})=1.445\times 10^1\times10^{2}$

We apply the product law again to get

$(1.7\times 10^4)\times(8.5\times 10^{-2})=1.445\times 10^{1+2}$

This simplifies to

$(1.7\times 10^4)\times(8.5\times 10^{-2})=1.445\times 10^{3}$

ANSWER TO QUESTION 2

$(6.8\times 10^2)\times(1.3\times 10^{-3})$

We rewrite to obtain;

$(6.8\times 10^2)\times(1.3\times 10^-3)=(6.8\times 1.3)\times(10^2\times 10^{-3})$

Recall this product law of indices

$a^m\times a^n=a^{m+n}$

we apply this law to obtain,

$(6.8\times 10^2)\times(1.3\times 10^-3)=8.84\times10^{2+-3}$

This simplifies to

$(6.8\times 10^2)\times(1.3\times 10^-3)=8.84\times10^{-1}$

This is already in standard form.

8 0

2 years ago