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Lostsunrise [7]
3 years ago
7

8(2x + 3) = PxQ

Mathematics
1 answer:
anyanavicka [17]3 years ago
5 0

Respuesta:

P = 16; Q = 24

P = 0; Q = 0

Explicación paso a paso:

Dada la relación:

8 (2x + 3) = Px + Q

Abra el soporte

16x + 24 = Px + Q

Los valores de P y Q para los que la ecuación tiene infinidad de solución:

Px = 16x

Q = 24

Por tanto, en P = 16; Q = 24, la ecuación tiene infinidad de soluciones.

Valores de P y Q para los que la ecuación no tiene solución:

Px = 0; P = 0

Q = 0

Por tanto, los valores de P y Q para los que la ecuación no tiene solución es 0

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Carl has 9 1/2 cups of juice for a party. If each party goer gets exactly 3/5 cup of juice each, how many party goers will get t
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Answer: 158

Step-by-step explanation:

Okay so the total is 9 5/10.

Each party goer needs 6/10

So 95/10 / 6/0=. 95/10x10/6

=950/6 = 158.

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3 years ago
Researchers wanted to determine if having a supply of sugary snacks in the bedroom is associated with obesity. The researchers a
I am Lyosha [343]

Answer:

c)

Step-by-step explanation:

The definition of an observational study is: one where researchers observe the effect of a risk factor or an intervention but they do not try to change who is exposed to the factor.

In this particular example, the researchers administered a questionnaire to 391 twelve-year-old and concluded that the body mass index of the adolescents who had a supply of sugary snacks in their bedroom was significantly higher than that of the adolescents who did not have a supply of sugary snacks in their bedroom.

This is not an observational study because the researchers actually administered a questionnaire and analyzed the results. To be an observational study the individuals would have been observed without any intervention (the questionnaire could have had an effect on the adolescents changing their habits)

7 0
3 years ago
A master painter can paint 110 square yards of surface area with a roller in 1 hour, while his apprentice can paint 85 square fe
7nadin3 [17]

The apprentice needs 6.25 hours to complete the job using the brush

<h3><u>Solution:</u></h3>

Given, A master painter can paint 110 square yards of surface area with a roller in 1 hour

\text { Then, his rate of painting }=110 \text { yard }^{2}

We know that 1 yard = 3 feet

=110 \times(1 \text { yard })^{2}=110 \times(3 \text { feet })^{2}=110 \times 9 \text { feet }^{2}=990 \text { square feet. }

While his apprentice can paint 85 square feet of surface area per hour with a brush

Together they are painting a building with a surface area of 5100 square feet.

After painting for 4\frac{1}{4} hours , the master painter lets the apprentice Finish the job.  

Now, they worked for 4\frac{1}{4} hours  

Then, area painted = area painted by master + area painted by apprentice

\text { Area painted }=990 \text { square feet per hour } \times 4 \frac{1}{4} \text { hours }+85 \text { square feet per hour } \times 4 \frac{1}{4} \text { hours }

\text { Area painted }=990 \times \frac{4 \times 4+1}{4}+85 \times \frac{4 \times 4+1}{4}

\begin{array}{l}{\text { Area painted }=990 \times \frac{17}{4}+85 \times \frac{17}{4}=(990+85) \times \frac{17}{4}} \\\\ {\text { Area painted }=1075 \times \frac{17}{4}=4568.75 \text { square feet. }}\end{array}

Now, the remaining area to be painted = total area – painted area  

Area to be painted = 5100 – 4568.75 = 531.25

So, apprentice has to paint 531.25 square feet alone.

\text { Then, time required }=\frac{\text { area to be painted }}{\text { his rate of painting }}

=\frac{531.25}{85}=6.25

Hence, the apprentice needs 6.25 hours to complete the job

7 0
4 years ago
Write as a product of two polynomials. <br><br> (x-y)^2-a(y-x)
Setler79 [48]

Answer:

\sf{(x-y)^2-a(y-x)} \\ = \sf{({x}^{2}  - 2xy +  {y}^{2} ) - (ay - ax)} \\

7 0
2 years ago
Read 2 more answers
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