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AysviL [449]
2 years ago
15

Determined to finish his mocha frappe before daniela,jeremy now drinks his 12-ounce mocha frappe at a rate of 1/3 an ounce per s

econd. Daniela starts with her usual 20-ounce mocha frappe and drinks at the same rate as before, 2/3 an ounce per second.
Mathematics
1 answer:
notka56 [123]2 years ago
6 0

Answer:

Daniela finished first.

It will take 36 seconds for Jeremy to finish the drink and Daniela 30, so daniela will finish first.

12 times 1/3 = 36

20 times 1/3= 60, divided by 2, because its 2/3 not 1 third, equals 30

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The slope of a line is -5 and its y-intercept is 8. Discuss how you will write the equation in the slope-intercept form
Jobisdone [24]

Step-by-step explanation:

slope-intercept form : y = mx + b

m = slope

b = y intercept

y = -5x +8

6 0
3 years ago
The field inside a running track is made up of a rectangle that is 84.39 m long and 73 m wide, together with a half-circle at ea
ioda

Answer:

The distance around the inside is 199.44 m.

Step-by-step explanation:

Given that,

Length = 84.39 m

Width = 9.76 m

Suppose, all the way around and 73 m wide.

We know that,

Perimeter of half circle is

perimeter = \pi r

We need to calculate the inner radius of the circle

Using formula of radius

r=\dfrac{D}{2}

Put the value into the formula

r=\dfrac{9.76}{2}

r=4.88\ m

We need to calculate the distance around the inside

Using formula of distance

Distance around the inside= two inner perimeter of the circle+two length of rectangle

D=2\pi r+2l

Put the value into the formula

D=2\pi\times4.88+2\times84.39

D=199.44\ m

Hence, The distance around the inside is 199.44 m.

6 0
3 years ago
Verb dale had a total of 45.8 inches of rain this year. This year's total was 7.48 inches greater than last year's total. What w
Delvig [45]
1. 45.8-7.48=38.32 in

2. 5/6-3/4=10/12-9/12= 1/12 miles farther
5 0
3 years ago
Read 2 more answers
Applications 24. A rocket is launched into the air. Its height in feet, after x seconds, is given by the equation The starting h
SVEN [57.7K]

The given function is

h(x)=-16x^2+300x+20

According to this function, the starting height of the rocket is 20 feet because that's the initial condition of the problem stated by the independent term.

Additionally, we find the maximum height by calculating the vertex of the function V(h,k).

h=-\frac{b}{2a}

Where a = -16 and b = 300.

\begin{gathered} h=-\frac{300}{2(-16)}=\frac{300}{32}=\frac{150}{16}=\frac{75}{8} \\ h=9.375 \end{gathered}

Then, we find k by evaluating the function

\begin{gathered} k=-16(9.375)^2+300(9.375)+20 \\ k=-1406.25+2812.5+20=1426.25 \end{gathered}

Hence, the maximum height is 1426.25 feet.

At last, to know the time need to hit the ground, we just use h=9.375 and we multiply it by 2

t=2\cdot9.375=18.75

Hence, the rocket hits the ground after 18.75 seconds.

6 0
1 year ago
Name the kind or kinds of symmetry the following figure has: point, line, plane, or none. (Select all that apply.).
Marina CMI [18]

Answer:

line

Step-by-step explanation:

5 0
2 years ago
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