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3 years ago

What could the formula 2a + 2b represent?

Mathematics

2 answers:

sattari [20]3 years ago

6 0

Becaus you have 2A and 2b this is what i think it could mean A+A+B+B

wolverine [178]3 years ago

5 0

The answer could be 2(a+b)

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A collector has 120 movie posters and 100 band posters. She wants

Juliette [100K]

Answer:

She should sell 20 band posters from total 80 to keep the maintain the same ratio.

Step-by-step explanation:

The total number of movie posters collector has = 120

The total number of band posters collector has = 80

The current ratio of movie poster : band poster = 120 : 100

or, reducing the ratio further, we get

ratio of movie poster : band poster = 6 : 5 ...... (1)

Now, the number of posters she wants to sell = 24

So, the remaining movie poster left = 120 - 24 = 96

Let us assume she sells m band posters to keep the ratio equal.

So, the number of band posters she is left with = 100 - m

⇒The ratio of movie poster left : band poster left = 96 : 100 - m .. (2)

Now here as the ratio remains same after selling m band posters, so

$\frac{6}{5} = \frac{96}{100 - m} \\\implies 100 - m = 96 \times\frac{5}{6} = 80\\or, 100 - 80 = m\\\implies m= 20$

or, m = 20

Hence, she should sell 20 band posters from total 80 to keep the maintain the same ratio.

7 0

3 years ago

How do I find the quotient 7/8÷2/9

Lena [83]

$\dfrac{\frac{7}{8}}{\frac{2}{9}}=\frac{7}{8}\cdot\frac{9}{2}=\frac{63}{16}$

5 0

2 years ago

Read 2 more answers

Write the polynomial in factored form. <br><br> p(x)=(x+5)(x-___)(x+___)

Rom4ik [11]

Answer:

Step-by-step explanation:

Given : $p(x)=x^{3} +6x^{2} -7x-60$

Solution :

Part A:

First find the potential roots of p(x) using rational root theorem;

So, $\text{Possible roots} =\pm\frac{\text{factors of constant term}}{\text{factors of leading coefficient}}$

Since constant term = -60

Leading coefficient = 1

$\text{Possible roots} =\pm\frac{\text{factors of 60}}{\text{factors of 1}}$

$\text{Possible roots} =\pm\frac{1,2,3,4,5,6,10,12,15,20,60}{1}$

Thus the possible roots are $\pm1, \pm2, \pm 3, \pm4, \pm5,\pm6, \pm10, \pm12, \pm15, \pm20, \pm60$

Thus from the given options the correct answers are -10,-5,3,15

Now For Part B we will use synthetic division

Out of the possible roots we will use the root which gives remainder 0 in synthetic division :

Since we can see in the figure With -5 we are getting 0 remainder.

Refer the attached figure

We have completed the table and have obtained the following resulting coefficients: 1 , 1,−12,0. All the coefficients except the last one are the coefficients of the quotient, the last coefficient is the remainder.

Thus the quotient is $x^{2} +x-12$

And remainder is 0 .

So to get the other two factors of the given polynomial we will solve the quotient by middle term splitting

$x^{2} +x-12=0$

$x^{2} +4x-3x-12=0$

$x(x+4)-3(x+4)=0$

$(x-3)(x+4)=0$

Thus x-3 and x+4 are the other two factors

So , p(x)=(x+5)(x-3)(x+4)

3 0

3 years ago

Read 2 more answers

You intend to estimate a population mean with a confidence interval. You believe the population to have a normal distribution. Y

Luda [366]

Answer:

T = 4.541

Step-by-step explanation:

We don't have the standard deviation for the population, so we use the t-distribution.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 4 - 1 = 3

98% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 3 degrees of freedom(y-axis) and a confidence level of $1 - \frac{1 - 0.98}{2} = 0.99$ . So we have T = 4.541

6 0

2 years ago

Erika bought 3 kilograms of cinnamon red hots and 1 kilogram of gummy bears for $21.00. Meanwhile, Irene bought 3 kilograms of c

grin007 [14]

Erika $21
3k of cinnamon
1g of gummies

Irene $39
3k of cinnamon
3k of gummies

c= cost of 1 kilogram of cinnamon
g= cost of 1 kilogram of gummies

Erika's Equation
3c + 1g= $21

Irene's Equation
3c + 3g= $39

Solve for one variable in equation one and substitute it in the other equation.

3c + 1g= 21
subtract 3c from both sides
g= 21 - 3c

Substitute g=21 - 3c in equation
3c + 3g= $39
3c + 3 (21 - 3c)= 39
multiply all in parentheses
3c + 63 - 9c= 39
63 - 6c= 39
subtract 63 from both sides
-6c= -24
c= $4

Substitute c=4 in equation to find g
3c + g= 21
3(4) + g= 21
12 + g= 21
subtract 12 from both sides
g= $9

ANSWER: The price of 1 kilogram of cinnamon red hots is $4. The cost of 1 kilogram of gummies is $9.

Hope this helps! :)

3 0

3 years ago