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avanturin [10]
3 years ago
12

Kyla made 15 cups of pudding for a class. If there are 20 students in the class, how much with each student get? Write your answ

er as a fraction in lowest terms.
Mathematics
1 answer:
EleoNora [17]3 years ago
7 0

Answer:

Each student get \frac{3}{4} cups.

Step-by-step explanation:

15÷20=0.75

turn into fraction \frac{3}{4}

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(2/3 + 3/4) × (3/6 + 4/9)<br><br>​
melisa1 [442]

Answer:

289/216

Step-by-step explanation:

add the parentheses first

(2/3+3/4)×(3/6+4/9)=

17/12×17/18

then multiply

17/12×17/18=

286/216

5 0
3 years ago
Read 2 more answers
Does This Graph Represent A Function? Why Or Why Not?
kumpel [21]
Its C. because it doesnt pass the vertical line test. if u draw a line through it it touches 2 lines but it should touch only one so its C.
3 0
3 years ago
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Dr. Silas studies a culture of bacteria under a microscope. The function b(t)=50(1.4)^t represents the number of bacteria t hour
saul85 [17]
a) Remember that the y-intercept of a exponential function f(x)=a^{x} is f(0), so the only thing to do to find the y-intercept in our functions is evaluate it at t=0:
b(t)=50(1.4) ^{t}
b(0)=50(1.4)^{0}
b(0)=50(1)
b(0)=50
We can conclude that the y-intercept of our function is (0,50), and it represents the initial bacteria population in the sample.

b) To find if the function is growing or decaying, we are going to convert its decimal part to a fraction. Then, we will compare the numerator and the denominator of the fraction. If the numerator is grater than the denominator, the function is growing; if the opposite is true, the function is decaying.
Remember that to convert a decimal into a fraction we are going to add the denominator 1 to our decimal and then we'll multiply both of them by a power of ten for each number after the decimal point:
\frac{1.4}{1} . \frac{10}{10} = \frac{14}{10} = \frac{7}{5}
Now we can rewrite our exponential function:
b(t)=50( \frac{7}{5})^{t}
Since the numerator is grater than the denominator, it is growing faster than the denominator; therefore the function is growing.

c) The only thing we need to do here is evaluate the function at t=5:
b(t)=50(1.4)^{t}
b(5)=50(1.4)^{5}
b(5)=50(5.37824)
b(5)=268.912

We can conclude that after 5 hours <span>Dr. Silas began her study will be 268.9 bacteria in the sample.</span>
4 0
3 years ago
Performance task trigonometric identities
marishachu [46]

#1

\\ \sf\longmapsto cos75°

\\ \sf\longmapsto cos(45+30)°

\\ \sf\longmapsto cos45cos30+sin45.sin30

\\ \sf\longmapsto \dfrac{1}{\sqrt{2}}\times \dfrac{\sqrt{3}}{2}+\dfrac{1}{\sqrt{2}}\times \dfrac{1}{2}

\\ \sf\longmapsto \dfrac{\sqrt{3}}{2\sqrt{2}}+\dfrac{1}{2\sqrt{2}}

\\ \sf\longmapsto \dfrac{\sqrt{3}+1}{2\sqrt{2}}

#2

\\ \sf\longmapsto tan\left(-\dfrac{\pi}{12}\right)

\\ \sf\longmapsto tan(-15°)

\\ \sf\longmapsto \dfrac{sin(-15)}{cos(-15)}

\\ \sf\longmapsto \dfrac{-sin15}{cos15}

\\ \sf\longmapsto -\dfrac{\dfrac{\sqrt{3}-1}{2\sqrt{2}}}{\dfrac{\sqrt{3}+1}{2\sqrt{2}}}

\\ \sf\longmapsto -\left(\dfrac{\sqrt{3}-1}{\sqrt{3}+1}\right)

5 0
3 years ago
Please help ASAP. Help me with the answer
Kisachek [45]

let's start with attempting to isolate the variable. remember what you do to one side you have to do to the other. -1

2x=3/4x+8

-3/4x from both sides

5/4x = 8

multiply both sides by 4

5x =32

divide both sides by 5

x=6.4 or 6 2/5. sorry if this is wrong

3 0
3 years ago
Read 2 more answers
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