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3 years ago

Jacob followed a recipe that requires 2 cups of water for ever 3 cups of flour. If he

Mathematics

1 answer:

Kazeer [188]3 years ago

7 0

Answer:

he used 5 1/3 everything else is to low or high

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Miriam took a survey, asking each family in her neighborhood how many pets they have. She made a graph showing the results: [asy

otez555 [7]

Answer:

1.8

Step-by-step explanation:

The graph of the problem is plotted using Asymptote and attached.

From the graph:

6 Families had 0 Pets
3 Families had 1 Pets
3 Families had 2 Pets
6 Families had 3 Pets
1 Family had 4 Pets
1 Family had 5 Pets

There are a total of 20 families.

Average Number of Pets

$=\dfrac{6*0+3*1+3*2+6*3+1*4+1*5}{20} \\\\=\dfrac{36}{20}\\\\=1.8$

The average number of pets per family is 1.8.

4 0

3 years ago

Alabama Instruments Company has set up a production line to manufacture a new calculator. The rate of production of these calcul

kondaur [170]

Answer:

Calculators from the beginning of the third week to the end of the fourth week = 4048.

Step-by-step explanation:

We know that the rate of production of these calculators after t weeks is given by

$\frac{dx}{dt} =5000(1-\frac{100}{(t+10)^{2}})$

To find the number of calculators that have been produced in a period, we need to take the integral of the function above; the desired time is t=2 (beginning of third week) to t=4 (end of the fourth week). Therefore, the number of calculators produced in the given time is

$\int\limits^4_2 {\frac{dx}{dt} } \, dt = \int\limits^4_2 {5000(1-\frac{100}{(t+10)^{2} }) } \, dt$

Substitute $t+10=u$ and $dt=du$ , observe that the limits of integration will change

$\int\limits^4_2 {\frac{dx}{dt} } \, dt => \int\limits^{14}_{12} {\frac{du}{dt} } \, dt$

$5000\int\limits^{14}_{12} { 1-\frac{100}{u^{2} } } \, du$

$5000(u+100u^{-1})\left \{ {{14} \atop {12}}\right.\\5000(2+\frac{100}{14}-\frac{100}{12} )\\4047.62$ ≈ 4048

4 0

3 years ago

Which table contains ordered pairs that lie in the graph of a line but not in the graph of a linear function?

Marizza181 [45]

Answer:

Step-by-step explanation:

Again, in this case, you are looking for the undefine <em>rate of change</em> [<em>slope</em>], meaning that there are repetitive x-coordinates. With that being said, you have your answer.

I am joyous to assist you anytime.

3 0

3 years ago

Can anyone help me out pls

mojhsa [17]

Answer:

C) 1/6

Step-by-step explanation:

test each option with a calculator to see which option ends up with 0.166666....

A) 1/12 = 0.833333333... (not the answer)

B) 1/3 = 0.33333333... (not the answer)

C) 1/6 = 0.1666666... (this is the answer!)

D) 1/9 = 0.1111111... (not the answer)

3 0

3 years ago

Read 2 more answers

Which of the following are exterior angles? Check all that apply.

s344n2d4d5 [400]

2,3,5,6 are all exterior angles because they are out of the triangle

8 0

3 years ago