Leo dug up 6 4/5 pounds of
treasure on his first dig. Anne dug
up 4 1/2 pounds of treasure. How
much more treasure did Leo dig
up than Anne?

Answer:

It will take them (Matt and Chris) 0.395 hours to be 64 miles apart

It will take 5.5 hours for the boats to be 66 miles apart

Step-by-step explanation:

We are to determine the time when Matt and Chris will be 64 miles apart, that is, when the total distance traveled by both of them will be 64 miles.

Let the time be t and

Let the distance covered by Matt be S₁ and the distance covered by Chris be S₂.

For Matt,

From the question, Matt drives at a speed of 79 miles per hour

From the formula

Distance = Speed × Time

S = v × t

∴ S₁ = 79×t

S₁ = 79t

For Chris,

From the question, Chris drives at a speed of 83 miles per hour

Using the same formula,

∴ S₂ = 83 × t

S₂ = 83t

To determine when they will be 64 miles apart, that is when S₁ + S₂ = 64 miles.

Hence,

S₁ + S₂ = 79t + 83t

∴64 = 79t + 83t

64 = 162t

t = 64/162

t = 0.395 hours

Hence, it will take them 0.395 hours to be 64 miles apart.

For the boats,

To determine how many hours it will take them to be 66 miles apart, that is when the total distance traveled by the two boats will be 66 miles.

Let the time be t and

Let the distance traveled by the northbound boat be S₁ and the distance traveled by the southbound both be S₂.

From the question,

The northbound boat travels five miles per hour

From the formula

Velocity = Distance / Time

Then, Distance = Velocity × Time

That is, S = v × t

Hence, for the northbound boat,

S = S₁

v = 5 miles per hour

∴ S₁ = 5t

Also from the question,

The  southbound boat goes seven miles per hour

Hence, for the southbound boat

S = S₂

v = 7 miles per hour

∴ S₂ = 7t

To determine when the boats will be 66 miles apart, that is when S₁ + S₂ = 66 miles

Then,

S₁ + S₂ = 5t + 7t

Hence,

66 = 5t + 7t

66 = 12t

t = 66/12

t = 5.5 hours

Hence, it will take 5.5 hours for the boats to be 66 miles apart.

Answer:

No. He will not have enough dog food for 27 days.

Step-by-step explanation:

If he only has 18 cups and he feeds one cup to his dog everyday. He will not have enough for 27 days. he will only have enough for 18.

Answer:

A

Step-by-step explanation:

-2/3 = -4/6, -4/6 + -4/6 = -8/6 = -4/3

Answer: D. -4/3

Step-by-step explanation:

-2/3 + -4/6

make the denominators the same

so -2 * 2 and 3 * 2 = -4/6

-4/6 + -4/6 = -8/6 = -4/3

Answer:

8%

Step-by-step explanation:

0.36/4.50=0.08=8%

Answer:

We know that the formula to get the equation of a rational function is:

y = a * (factors of x intercepts) / (factor of vertical asymptote)

We are given the equation:

y = (3x - 18) / (2x + 1)

from the formula, we know that the value in the denominator is the factor of the vertical asymptote

So, we can write that:

2x + 1 = 0              [where x is the vertical asymptote]

x = -1/2

Therefore, the vertical asymptote of the given equation is -1/2

Answer:

the answer is x-16

I hope it will help

Answer:

I think the answer is 8², I just multiplied it by it’s self(squared)

I’ve never helped someone on functions before, this one seemed comprehend able

Step-by-step explanation:

Please give me brainliest

Answer:

D.

Step-by-step explanation:

I'm 70% sure

Answer:

1. y-intercept = -7

equation: y = 5x - 7

2. y-intercept = -3

equation: y = -2x - 3

3. slope = [tex]\frac{8}{3}[/tex]

Step-by-step explanation:

slope-intercept form: y = mx + b

slope formula: [tex]\frac{y2 - y1}{x2 - x1}[/tex]

To write an equation in slope-intercept form, you need to know the slope(m) and the y-intercept(b).

1. Given: m = 5, P(2, 3). To find the y-intercept, input the given values of m and the point into the equation format and solve for b:

y = mx + b

3 = 5(2) + b

3 = 10 + b

-7 = b

The y-intercept is -7.

Now that we know the slope and the y-intercept, we can write the equation:

y = 5x - 7

2. Given: m = -2, P(-4, 5). To find the y-intercept, input the given values of m and the point into the equation and solve for b:

y = mx + b

5 = -2(-4) + b

5 = 8 + b

-3 = b

The y-intercept is -3.

Now that we know the slope and the y-intercept, we can write the equation:

y = -2x - 3

3. Given: P(3, -5), Q(6, 3). To find the slope, input the given points into the slope formula:

(3, -5) = (x1, y1)

(6, 3) = (x2, y2)

[tex]\frac{y2-y1}{x2-x1}[/tex]

[tex]\frac{3-(-5)}{6-3}[/tex]

Simplify:

3 - (-5) = 3 + 5 = 8

6 - 3 = 3

[tex]\frac{8}{3}[/tex]

The slope of the line passing through points P and Q is [tex]\frac{8}{3}[/tex].

I hope this helps. :)

Answer:

-5,0,0.56,12%,1/2

Step-by-step explanation:

Answer:

1986

Step-by-step explanation:

Function that represents railroad miles

[tex]y=-1250.2x + 142602[/tex]

Function that represents number of highway miles

[tex]y=501.5x + 158449[/tex]

We have to find in which year (1995+x) the miles of railroad and highway is the same so

[tex]-1250.2x + 142602=501.5x + 158449\\\Rightarrow -1250.2x-501.5x=158449-142606\\\Rightarrow -1751.7x=15843\\\Rightarrow x=-\dfrac{15843}{1751.7}\\\Rightarrow x=-9.044\ \text{years}\approx -9\ \text{years}[/tex]

So, the year is [tex]1995+x=1995+(-9)=1986[/tex]

In the year 1986 the railroad and highway miles were equal.

It is estimated that the number of railroad miles and the number of highway miles were the same during the year 1986.

Given

The function y =-1250.2x + 142,602 represents the railrond miles.

While the function y =501.5x + 158,449 models the number of highway miles.

For each function, x is the number of years after 1995.

The year in which it is estimated that the number of the country's railroad miles and the number of the country's highway miles were the same.

Therefore,

[tex]\rm -1250.2x + 142,602=501.5x + 158,449\\\\-1250.2x -501.5x = 158,449-142,602\\\\-1751.7x=15847\\\\x = \dfrac{15847}{-1751.7}\\\\x=-9[/tex]

Then,

1995 - 9 = 1986

It is estimated that the number of railroad miles and the number of highway miles were the same during the year 1986.

To know more about Equation click the link given below.

https://brainly.com/question/20010866

Answer: the answer is b

Step-by-step explanation:

Answer: B.63

Step-by-step explanation: OK so if angle VKQ is 153, then angle DKJ also has to be 153 because of vertical angles. Then we know that angle MKJ is 90, so angle DKM is angle DKJ. Minus 90. 153-90=63.

Answer:

3/4

Step-by-step explanation:

do you need a deep explanation? or just a quick one?

Answer: the slope is 4/3

Explanation :

1) pick 2 points on the graph. I picked ( 30, 20) and (60,60)

2) to find m, we do rise over run. Y is the rise and x is the run.

3) subtract the y exponents from eachother over the x exponents.

4) Do this : 60-20/ 60-30 . After solving, you should get 4/3.

5) good luck

Answer:

[tex]A) h=\frac{V}{\pi r^2}[/tex]

Step-by-step explanation:

[tex]V=\pi r^2h\\h=\frac{V}{\pi r^2}[/tex]

Answer:

Can you add the picture please???

Step-by-step explanation:

Answer:

88m

Step-by-step explanation:

area = 6.16msq

πrsq=6.16

22/7*rsq=6.16/100

22/7*rsq=616

rsq=616*7/22

rsq=4321/22

rsq=196

r=√196

r=14m

diameter=14*2=28m

radius=14m

circumfrence=2πr

=2*22/7*14

=44*2

=88m

Answer: The answer is A

Step-by-step explanation: Because 6*20= 120

Answer:

balls

Step-by-step explanation:

lol hahahahahahahahhahahahahahhahahahahahahahahhahah

Answer:

two balls for every one paddle

Step-by-step explanation:

Answer:

9x + 11

Step-by-step explanation:

5(2x+3)-(x+4)

10x+15-x-4        Use distributive property

10x-x +15-4       Combine like terms

9x + 11

Hope this helps!

Answer:

of what?

Step-by-step explanation:

if you could send a picture Thad be great

Answer:

option 3

both (3, 2) and (2, -1) are solutions

Answer:

C

Step-by-step explanation:

-3x + y = -7

use (3, 2) as plug ins for x and y

-3x + y = -7 (rewrite)

-3 x 3 + 2 = -7 (solve)

-3 x 3 = -9

-9 + 2 = -7

same with the other numbers (2, -1)

but i'm lazy

Answer:

between 500 to 600 because I like

Answer:

4:3

Step-by-step explanation:

There are 8 yellow spots and 6 blue spots

8:6

We can divide each side by 2 since they are both even

8/2: 6/2

4:3

Answer:

4:3

Step-by-step explanation:

Answer:THXXXXXXXSSSSS FOR THE POINTS

Step-by-step explanation:

Answer:

***T O O T***

Answer:

8 ft of yarn

Step-by-step explanation:

146/18= 8.111

Round that number down to 8 to make all students get equal amounts of yarn

Answer:

8.11 ft

Step-by-step explanation:

146 ft divided into 18 prices

146 ÷ 18 = 8.11 ft for each student.

Answer:

A. Expression

Step-by-step explanation:

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Answer:

y=1/2x-1

Step-by-step explanation:

y=mx+b where m equals the slope and b equals the y-intercept. Hope this helps!

Answer:

cos 60 degrees=1/2 and sin 60 degrees = square root 3/2

The answer it's true.