MATHEMATICS MIDDLE SCHOOL

Giulia runs an average of 15 minutes each day. She has a goal of running 100 minutes in seven days. Well she complete her running goal in seven days ? explain to a friend

Answers

Answer 1

Answer:

Running time for 1 day = 15

Running time for 1 week = 15*7= 105

So, yes she has completed her goal

Answer 2

Answer:

Final answer:

Giulia will complete her running goal in seven days.

Explanation:

To determine if Giulia will complete her running goal in seven days, we need to calculate her total running time. Since she runs for an average of 15 minutes each day, her total running time in seven days would be 15 minutes/day * 7 days = 105 minutes. Therefore, Giulia will be able to complete her running goal of 100 minutes in seven days.

Learn more about Running goal here:

brainly.com/question/33718774

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HELP ASAPA storage container is in the shape of a rectangular prism, with a length of 3 1/5
feet, and width of 1 3/4
feet, and a height of 2 1/4
feet. What is the container’s volume?
A)5 3/5 cubic feet
B)7 1/5 cubic feet
C)12 3/5 cubic feet
D)14 2/5 cubic feet

Answers

So,

All we have to do is multiply all three dimensions together.

First, convert all fractions into improper fractions.

$3 (1)/(5)--\ \textgreater \ (16)/(5)$

$1 (3)/(4) --\ \textgreater \ (7)/(4)$

$2 (1)/(4) --\ \textgreater \ (9)/(4)$

Now multiply the fractions together.

$(16)/(5)*(7)/(4)*(9)/(4)= (2*2*2*2*3*3*7)/(2*2*2*2*5)$

$(3*3*7)/(5)--\ \textgreater \ (63)/(5)\ or\ 12 (3)/(5)\ ft.^3$

The correct option is C.

40 BIG POINTS! Help me with math please!
@ TheProfessor35

Answers

the linear model would be the line of best fit
it is the line that represents the average of the points or the line that represents the majority of them equally

so the asnwer would be B since it goest thorugh the middle of the points in teh direction tha tsems right

y=mx+b
m=slope=rise/run
b=y intercept or when x=0

it seems to go up 1 unot for 1 unot it goes to the right sl slope is 1/1=1
y=1x+
x is zero when y=2
y=1x+2

so look at the variabel M line and see where it matches the variable N line
looks to be at 10

slope=(y2-y1)/(x2-x1)
pick 2 points
y is up
x=right

so somepoints are
(0,50) and (20,250)
x1=0
y1=50
x2=20
y2=250
(250-50)/(20-0)=200/20=20/2=10/1=1
y=10x+b
find where x=0
y=50
y=10x+50

so the answers are

B
y=x+2
10
y=10x+50

1) The answer is B because it goes through the cluster.

2) Now find the slope and the y intercept.

The slope = 1
Y intercept, where it croses y = 2

y = 1x + 2

3) Look where x = 50, and find y.
x = 50, y = 10

Answer: 10

4) The slope is 10, find two points on the line and calculate
m = y2 - y1/x2 - x1
m = 10

Now find where it crosses, this one is easy, it's 50.

Answer: y=10x+50

24. A flat roof rises at a 30° angle from the front wall of a storage shed to the back wall. The front wall is11.5 feet tall and the back wall is 20.2 feet tall. Find the length of the roof line and the depth of the shed from front to back. Round vour answers to the nearest tenth of a foot.

SHOW WORK
WILL MARK BRANLIEST

Answers

Answer:

Length of the roof line is $17.4\ feet$ . And depth of the shed is $15.07\ feet$

Step-by-step explanation:

Given front wall is 11.5 feet tall, back wall is 20.2 feet. And roof rises at 30° angle from the front wall.

Let $h$ be the length of the roof line. And $b$ the depth of the shed.

We can see it is a right angle triangle with opposite $20.2-11.5=8.7\ feet$ (see the attachment)

Now,

$sin(30)=(Opposite)/(Hypotenuse)\n \nsin(30)=(8.7)/(h)\n\nh=(8.7)/(0.5)\n\nh=17.4\ feet$

Also,

$tan(30)=(Opposite)/(Adjacent)\n\ntan(30)=(8.7)/(b)\n\nb=(8.7)/(tan(30))\n\nb=(8.7)/(0.577)\n\nb=15.07\ feet$

So, Length of the roof line is $17.4\ feet$ . And depth of the shed is $15.07\ feet$

Answer:

17.4 ft

Step-by-step explanation:

Given: Height of front wall is 11.5 ft

Height of back wall is 20.2 ft

Attach is the picture drawn for the question.

First lets find the depth of shed from from front to back wall.

Depth of shed from front to back wall= length of back wall - length of front wall.

∴ Depth of shed from front to back wall= $20.2-11.5= 8.7\ ft$

Now, using sine rule of trignometry to find length of roof line.

We know, $Sin \theta= (Opposite)/(Hypotenous)$

⇒ $sin 30= (8.7)/(hypotenous)$

⇒ $(1)/(2) = (8.7)/(Hypotenous)$

Cross multiplying

⇒ $Hypontenous= 8.7* 2$

∴ Hypontenous= 17.4 feet

Hence, length of roof line is 17.4 ft.

Karina rows a boat downstream for 66 miles. The return trip upstream took 16 hours longer. If the current flows at 4 mph, how fast does Karina row in still water?

Answers

Answer:

7 mph

Step-by-step explanation:

Let x be the speed in still water hence

Time to move downstream will be $\frac {66}{x+4}$

Time to move upstream will be $\frac {66}{x-4}$

Difference will be

$\frac {66}{x-4}-\frac {66}{x+4}=16$

$66(x+4)-66(x-4)= 16(x^(2)-16)$

$66x+264-66x+264=16x^(2)-256$

$16x^(2)-256-528=0$

$x^(2)-16-33=0$

$x^(2)=49$

x=7

Write the equation of the line of best fit using the slope-intercept formula y = mx + b. Show all your work, including the points used to determine the slope and how the equation was determined.

Answers

Answer:

$y=x+3$

Step-by-step explanation:

we know that

The linear equation in slope intercept form is equal to

$y=mx+b$

where

m is the slope

b is the y-intercept

step 1

Find the slope

Take two points from the graph

see the attached figure

about (37,40) and (47,50)

The formula to calculate the slope between two points is equal to

$m=(y2-y1)/(x2-x1)$

substitute

$m=(50-40)/(47-37)$

$m=(10)/(10)=1$

step 2

Find the y-intercept

we have

$m=1\npoint\ (37,40)$

substitute in the linear equation

$40=(1)(37)+b$

solve for b

$b=3$

therefore

The linear equation is

$y=x+3$

3) Katie leaves a 25% tip ona restaurant bill of $82.OO Including the tip, what is the total amount of her bill?

Answers

82=100%
add 25%

100%+25%=125%

125% of 82

percent means parts out of 100
125%=125/100=1.25

'of' means multiply

125% of 82 means

1.25 times 82=102.5

total cost=$102.50

It's easily done in one step. 125%*82=102.5 The answer is $102.5

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