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3 years ago

What is y = -1/3x - 9

Mathematics

1 answer:

mixas84 [53]3 years ago

4 0

Answer:

Step-by-step explanation:

Use the slope-intercept form

y=mx+b

to find the slope m and y-intercept b.

Slope: −13

y-intercept: (0,−9)

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Hallie bikes 1 5/8 km before lunch and 6 1/4 km after lunch. How much farther does Hallie bike after lunch than before lunch? Ex

EleoNora [17]

Answer:

4 $\frac{5}{8}$ km

Step-by-step explanation:

To find how much farther Hallie biked after lunch compared to the amount she biked before lunch, we can subtract the amounts:

6 $\frac{1}{4}-1\frac{5}{8}$

However, we can only subtract fractions that have the same denominator, so we need to convert $\frac{1}{4}$ to a fraction with a denominator of 8:

$\frac{1}{4}=\frac{2}{8}$

Now, we can't subtract 2 from 8, so we need to 'borrow' from the 6 to make the fraction larger:

$6\frac{2}{8}=5\frac{10}{8}$

Now subtract: $5\frac{10}{8}-1\frac{5}{8}=4\frac{5}{8}$

4 0

3 years ago

There were 436 tickets purchased for a major league baseball game. The general admission tickets cost $6.50 and the upper reser

monitta

Answer:

136 general admission tickets were purchased, and 300 upper reserved tickets were purchased.

Step-by-step explanation:

This question is solved using a system of equations.

I am going to say that:

x is the number of general admission tickets purchased.

y is the number of reserved tickets purchased.

There were 436 tickets purchased for a major league baseball game.

This means that $x + y = 436$ , or also, $x = 436-y$

The general admission tickets cost $6.50 and the upper reserved tickets cost $8.00. The total amount of money spent was $3284.00.

This means that $6.5x + 8y = 3284$ . Since $x = 436-y$

$6.5(436-y) + 8y = 3284$

$1.5y = 450$

$y = \frac{450}{1.5}$

$y = 300$

And:

$x = 436 - y = 436 - 300 = 136$

136 general admission tickets were purchased, and 300 upper reserved tickets were purchased.

7 0

3 years ago

In △ABC, point D∈ AC with AD:DC=4:3, point E∈ BC so that BE:EC=1:5. If ACDE=5 in2, find ABDC, AABD, and AABC.

Kaylis [27]

Answer:

ar ΔBDC=6 $in^2$

ar ΔABD=8 $in^2$

ar ΔABC=14 $in^2$

Explanation:

Please take a look of attach figure.

We are given area of triangle ar ΔCDE=5 $in^2$

ar ΔCDE= $\frac{1}{2}\times DN\times EC$ ------------(1)

ar ΔBDE= $\frac{1}{2}\times DN\times BE$ ------------(2)

Divide eq(2) by eq(1) and we get,

$\frac{ar\ ΔBDE}{ar\ ΔCDE}=\frac{BE}{EC}$

$\frac{ar\ ΔBDE}{5}=\frac{1}{5}$

So, ar ΔBDE=1 $in^2$

ar ΔBDC=ar ΔBDE+ ar ΔCDE

ar ΔBDC=1+5 = 6 $in^2$

Similarly,

$\frac{ar\ ΔABD}{ar\ ΔBDC}=\frac{AD}{DC}$

$\frac{ar\ ΔABD}{6}=\frac{4}{3}$

ar ΔABD=8 $in^2$

ar ΔABC=ar ΔABD + ar ΔBDC

ar ΔABC=8+6 = 14 $in^2$

6 0

3 years ago

A gift bag shaped like a rectangular prism has a volume of 1152 cubic inches. The dimensions of the gift bag in terms of its wid

dolphi86 [110]

The answer is
w = 6 in
l = 16 in
h = 12 in

The volume of a rectangular prism with length l, width w, and height h is:
V = l * w * h

V = 1152 in³

After some internet research, I found out that:
l = 2w + 4
h = 18 - w

So,
V = l * w * h
1152 = (2w + 4) * w * (18 - w)

Multiply the first two factors:
1152 = (2w² + 4w) * (18 - w)

Multiply two remaining factors:
1152 = 36w² + 72w - 2 w³ - 4w²

Rearrange:
-2w³ + 36w² - 4w² + 72w = 1152
-2w³ + 32w² + 72w = 1152
-2w³ + 32w² + 72w - 1152 = 0

Divide all by 2:
-w³ + 16w² + 36w - 576 = 0

Multiply by (-1):
w³ - 16w² - 36w + 576 = 0

Rearrange:
(w³ - 36w) - (16w² - 576) = 0

Factor:
w * w² - w * 36 - (16 * w² - 16 * 36) = 0
w(w² - 36) - 16(w² - 36) = 0
(w - 16)(w² - 36) = 0
(w - 16)(w² - 6²) = 0
(w - 16)(w - 6)(w + 6) = 0

So, w - 16 = 0, or w - 6 = 0, or w + 6 = 0.
In other words: w = 16, or w = 6, or w = -6.

Width cannot be negative, so w ≠ -6.
If w = 16, then l = 2 * 16 + 4 = 32 + 4 = 36 and h = 18 - 16 = 2
But, since the height must be greater than the width (h > w), w ≠ 16

If w = 6, then l = 2 * 6 + 4 = 12 + 4 = 16 and h = 18 - 6 = 12.
Thus:
w = 6 in
l = 16 in
h = 12 in

3 0

4 years ago

Could someone just take sometime out of there day to help me I’m really struggling

AfilCa [17]

Answer:

1. given

2. not sure sorry

3. segment addition

4. subraction

5. transative

6. subtraction

7. not sure sorry

im no expert so dont completely trust me :)

Step-by-step explanation:

8 0

4 years ago