The sum of two numbers is -10.5. Can one of these addens be positive and the other negative? Provide an example to prove your answer.

Answer:

120 apples and 100 oranges

Step-by-step explanation:

6/11 x 220 = 120 apples

5/11 x 220 = 100 oranges

Answer:

c) is the correct answer

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

Answer:

5^20 • 7^40

Step-by-step explanation:

each exponent needs to multiply each 10.

Answer:

D. [tex]5^{20}[/tex] x [tex]7^{40}[/tex]

Step-by-step explanation:

Original Equation=  [tex](5^2 \cdot 7^4)^{10}[/tex]  

Apply exponent rule: [tex](a\cdot b) ^n[/tex] = [tex]a^n[/tex] [tex]b^n[/tex]

= [tex](5^2)^{10}[/tex]  x   [tex](7^4)^{10}[/tex]

Distribute them

= [tex]5^{20}[/tex]  x  [tex](7^4)^{10}[/tex]

= [tex]5^{20}[/tex] x [tex]7^{40}[/tex]

Hope this helps!

Answer:

The value is   [tex]P(X < 0.50 ) = 0.43133[/tex]

Step-by-step explanation

From the question we are told that

    The population proportion is  p =  0.51

     The sample size is  n  =  75

Generally given that the sample size is large enough (i.e n > 30) the mean of this sampling distribution is mathematically represented as

            [tex]\mu_x = p = 0.5 1[/tex]

Generally the standard deviation of this sample distribution is mathematically represented as

                [tex]\sigma = \sqrt{\frac{p(1- p)}{ n} }[/tex]

=>          [tex]\sigma = \sqrt{\frac{0.51 (1- 0.51 )}{75} }[/tex]

=>          [tex]\sigma = 0.058[/tex]

Generally the probability that in a random sample of 75 voters, fewer than 50% of the sample will vote for Candidate A is mathematically represented as

          [tex]P(X < 0.50 ) = P( \frac{ X - \mu_x }{\sigma } < \frac{ 0.50 - 0.51 }{0.0578 } )[/tex]

[tex]\frac{X -\mu}{\sigma }  =  Z (The  \ standardized \  value\  of  \ X )[/tex]

=>       [tex]P(X < 0.50 ) = P( Z < -0.1730 )[/tex]

From the z table  the area under the normal curve to the left corresponding to   -0.1720  is

        [tex]P( Z < -0.1730 ) = 0.43133[/tex]

So

         [tex]P(X < 0.50 ) = 0.43133[/tex]

Answer:

The system of equations is given as:

x ≥ $500

y ≥ $800

x + y ≤ 1600

20x + 30y ≥ 2800

Step-by-step explanation:

From the question

We are told that

x = Number of $20 seats

y = Number of $30 seats

$20 seats = At least $500 (greater than or equal to)

$30 seats = At least $800 (greater than or equal to)

You are designing a social hall that would seat no more than 1600 people

No more than means less than or equal to ≤ 1600 people

x + y ≤ 1600 people

Total revenue generated = At least $2800. This means ≥ (greater than or equal to).

20x + 30y ≥ $2800

The system of equations is given as:

x ≥ $500

y ≥ $800

x + y ≤ 1600

20x + 30y ≥ 2800

Option C is the correct Option.

Answer:

Antonio's first error occurred in First step where he added the denominators of both fractions instead of finding a common denominator.

Step-by-step explanation:

In order to add or subtract two fractions, a common denominator is found and then the denominators of both fractions are made equal to the common denominator.

The given fractions are:

[tex]\frac{2}{9}\ and\ \frac{1}{5}[/tex]

The common denominator is the number which is the multiple off denominators of both fractions involved.

Antonio made his first error in first step. Instead of finding a common multiple denominator, he add the denominator of both fractions which is wrong.

The correct method is:

[tex]\frac{2}{9} + \frac{1}{5}\\= \frac{2*5}{9*5} + \frac{1*9}{5*9}\\=\frac{10}{45}+\frac{9}{45}\\=\frac{19}{45}[/tex]

Hence,

Antonio's first error occurred in First step where he added the denominators of both fractions instead of finding a common denominator.

Answer:

{-4, 1, 5, 8}

Step-by-step explanation:

The domain of a relation are all of the inputs (or x-values) of it.

Identify the x-values shown.

{(-4, 8), (8, 10), (5, 4), (1, 6), (5, -9)}

{-4, 1, 5, 8} is the domain of the relation.

Hope this helps.

2 hours Step-by-step explanation:

Answer: 2 hours.

Step-by-step explanation:

2/5 hour = one load of laundry

2/5 x 5 = 10/5 = 2 hours.

It will take Shonda 2 hours to dry 5 loads of laundry.

Hope this helps!

Answer:

it is the answer A

Step-by-step explanation:

Answer:

7/96

Step-by-step explanation:

to find the answer you need to multiply both numerators together and put that over the product of the denominators, this is going to leave you with a fraction smaller than the original fractions. that is normal, because you are multiplying terms smaller than one together. same applies to decimals less than one

Answer:

800,004,500

Step-by-step explanation:

Answer:

$14,900

Step-by-step explanation:

Given that,

Miguel made $6,743 in February and $8,152 in March.

We need to find the amount of money Miguel earned.

It is equal to the sum of amount made in February and March.

Sum = $6,743 + $8,152

= $14895

Nearest hundred :

Sum = $14,900

Hence, the total amount is $14,900.

Answer:

1/3x3/4=3/12

3/4=3/12x3/1

=3/12x3/1x4/3

=3/4

Answer: 60 , 60 , 61

Step-by-step explanation:

Answer:

$20

Step-by-step explanation:

he gave 5*3=15 dollars to his children

he took 5

add together to get 20

Answer:

$20

Step-by-step explanation:

$3 x 5 = $15

$15 + $5 = $20

Answer:

30°  is one of the degree measures of the angles.

Hence, option (A) is true.

Step-by-step explanation:

Given that the degree measure of one of two complementary angles is twice that of the other.

Complementary angles

Thus the equation becomes

x + 2x = 90°

3x =  90°

Divide both equations by 3

3x/3 = 90°/3

x = 30°

Therefore, 30°  is one of the degree measures of the angles.

Hence, option (A) is true.

The degree measure of one of two complementary angles is twice that of the other. What is one of the degree measures of the angles?

A.) 30 degrees

Let one angle = x

According to statement,

Another angle = 2 × first angle

[tex] \sf : \implies Another \: angle = 2x[/tex]

Now, we know that sum of complementary angles is 90°

Hence,

[tex] \sf : \implies x + 2x = 90^{\circ}[/tex]

[tex] \sf : \implies 3x = 90^{\circ}[/tex]

[tex] \sf : \implies x = \dfrac{\cancel{90}^{\circ}}{\cancel{3}}[/tex]

[tex] \sf : \implies x = 30^{\circ}[/tex]

[tex] \Large \underline{\boxed{\sf{ x = 30^{\circ} }}}[/tex]

Therefore, one of the angle is 30°.

Another angle = 2 × 30° = 60°

Answer:

24$

Step-by-step explanation:

Answer:

Part A)

[tex]\displaystyle \frac{dy}{dx}=-\frac{2xy+y^2}{x^2+2xy}[/tex]

Part B)

[tex]\displaystyle y=-\frac{5}{8}x+\frac{9}{4}[/tex]

Step-by-step explanation:

We have the equation:

[tex]\displaystyle x^2y+y^2x=6[/tex]

Part A)

We want to find the derivative of our function, dy/dx.

So, we will take the derivative of both sides with respect to x:

[tex]\displaystyle \frac{d}{dx}\Big[x^2y+y^2x\Big]=\frac{d}{dx}\big[6\big][/tex]

The derivative of a constant is 0. We can expand the left:

[tex]\displaystyle \frac{d}{dx}\Big[x^2y\Big]+\frac{d}{dx}\Big[y^2x\Big]=0[/tex]

Differentiate using the product rule:

[tex]\displaystyle \Big(\frac{d}{dx}\big[x^2\big]y+x^2\frac{d}{dx}\big[y\big]\Big)+\Big(\frac{d}{dx}\big[y^2\big]x+y^2\frac{d}{dx}\big[x\big]\Big)=0[/tex]

Implicitly differentiate:

[tex]\displaystyle (2xy+x^2\frac{dy}{dx})+(2y\frac{dy}{dx}x+y^2)=0[/tex]

Rearrange:

[tex]\displaystyle \Big(x^2\frac{dy}{dx}+2xy\frac{dy}{dx}\Big)+(2xy+y^2)=0[/tex]

Isolate the dy/dx:

[tex]\displaystyle \frac{dy}{dx}(x^2+2xy)=-(2xy+y^2)[/tex]

Hence, our derivative is:

[tex]\displaystyle \frac{dy}{dx}=-\frac{2xy+y^2}{x^2+2xy}[/tex]

Part B)

We want to find the equation of the tangent line at (2, 1).

So, let's find the slope of the tangent line using the derivative. Substitute:

[tex]\displaystyle \frac{dy}{dx}_{(2,1)}=-\frac{2(2)(1)+(1)^2}{(2)^2+2(2)(1)}[/tex]

Evaluate:

[tex]\displaystyle \frac{dy}{dx}_{(2,1)}=-\frac{4+1}{4+4}=-\frac{5}{8}[/tex]

Then by the point-slope form:

[tex]y-y_1=m(x-x_1)[/tex]

Yields:

[tex]\displaystyle y-1=-\frac{5}{8}(x-2)[/tex]

Distribute:

[tex]\displaystyle y-1=-\frac{5}{8}x+\frac{5}{4}[/tex]

Hence, our equation is:

[tex]\displaystyle y=-\frac{5}{8}x+\frac{9}{4}[/tex]

Answer:

100

Step-by-step explanation:

Answer:

Hence 262 adults and 88chidren are in the audience

Step-by-step explanation:

Let the number adults be x

Let the number of children be y

If there are 350seats in the theatre then;

x+y =350 .... 1

Also if $10.50was charged for adults and $7.50 for children with total amount of $3411, then;

10.50x + 7.50 y = 3411..... 2

Solve simultaneously

From 1, x = 350-y

Substitute into 2:

10.50(350-y) +7.50y = 3411

3675-10.5y+7.50y = 3412

3675-3y = 3411

-3y = 3411-3675

-3y = -264

y = 264/3

y = 88

From 3: x = 350-y

x = 350-88

x = 262

Hence 262 adults and 88chidren are in the audience

=================================================

Explanation:

The domain is the set of allowed x inputs. The range is the set of possible y outputs.

The set {-2,-1,0,1,2} represents all the possible x inputs

Let's plug each of those into the equation y = 3x-6 to find the corresponding paired out puts.

Note: y = f(x), so f(x) = 3x-6 is the same as y = 3x-6.

---------------

If x = -2, then,

y = 3x-6

y = 3(-2)-6

y = -6-6

y = -12

We see that x = -2 and y = -12 pair up together.

The value -2 in the domain maps to -12 in the range.

----------------

If x = -1, then,

y = 3x-6

y = 3(-1)-6

y = -3-6

y = -9

The input x = -1 in the domain maps to the output y = -9 in the range

So far the range consists of {-12, -9} in either order.

The answer is between A and D

-----------------

If x = 0, then,

y = 3x-6

y = 3(0)-6

y = 0-6

y = -6

So -6 is also part of the range. We have {-12, -9, -6} so far. The answer is still between A and D.

------------------

If x = 1, then,

y = 3x-6

y = 3(1)-6

y = 3-6

y = -3

The range updates to {-12, -9, -6, -3}

A and D are still equally valid

-------------------

We have one more x value to try

If x = 2, then,

y = 3x-6

y = 3(2)-6

y = 6-6

y = 0

Since y = 0 is in the range, instead of y = 1, this rules out choice A

The answer is therefore D.  {-12, -9, -6, -3, 0}

Answer:

$26.43

Step-by-step explanation:

A pound = $1.81. Multiply the price per pound by however many pounds Shelly is buying.

Answer:

26.426

Step-by-step explanation:

1.81x14.6=26.426

Answer:

its the first one brsinlest plz

Step-by-step explanation:

Answer:

I think it is $59.5

Step-by-step explanation:

Hope this helped have an amazing day!

Answer:

36

Step-by-step explanation:

USE PYTHOGORAS THEOREM

A²=C²-B²

C²=3600

B²=2304

3600-2304=1296

√1296=36

hope it helps

Have a nice Day , I would appreciate it if you could mark my answer brainliest

Answer:

111 can i get brailyist for replying so fast.

Answer:

23

Step-by-step explanation:

[tex] \frac{2}{5} \times \frac{x}{59} [/tex]

the number of drops of nectar goes on the bottom, and the number of butterflies goes on the top

then you cross multiply to get 5x= 118

solve for × and you get 23.6

for this situation, 0.6 of a butterfly doesn't make sense, so we need to round down.

we round down because it's okay if there's extra nectar, but there can't be less than enough.

you can be 23 butterflies with 59 drops of nectar

Answer:

4100

Step-by-step explanation:

If only the mens are 10%, The total is 100.

so we multiply 410 with 10 which gives 4100.