Which is the better buy, 36 cans for $3.32, or 9 cans for $0.91 ?
O They are the same.
O 9 cans for $0.91
36 cans for $3.32

Answer:

hamburger =282 calories

soda=212 calories

Step-by-step explanation:

2h+5c=1624 ...............×3

3h+2c=1270 ................×2

use eliminate method: multiply the first equation by 3, and second one by 2 to eliminate h first:

6h+15c= 4872

6h+4c=2540

subtract the two equations

6h+15c-6h-4c=4872-2540

11c=2332

c=2332/11

c=212 calories in soda

substitute c in any equation to get h

2h+5c=1624

2h+5(212)=1624

2h=1624-1060

2h=564

h=564/2=282

h=282 calories

check :

2(282)+5(212)=

564+1060=1624

3h+2c=1270

3(282)+2(212)=1270

Answer:

24/26

Step-by-step explanation:

8/13 divided by 2/3 is the same as:

8/13 times 3/2

8X3= 24

13X2= 26

answer = 24/26

Answer:

12 / 13

Step-by-step explanation:

8 / 13  ÷  2 / 3 ------ just flip 2/3  to --->> 3/2 then multiply

8 / 13  x 3 / 2 = (8 * 3) / (13 * 2)

= 24 / 26

therefore,

= 12 / 13 is the answer

Answer:

0.350

Step-by-step explanation:

Confidence interval = point estimate ± margin of error

Point estimate = Confidence interval - margin of error

To get the margin of error, we will take the average of the difference of the interval given. Given the confidence interval 0.325<p<0.375

Margin of error = 0.375-0.325/2

Margin of error = 0.050/2

Margin of error = 0.025

Using the interval of 0.375

Point estimate = 0.375 - 0.025

Point estimate = 0.350

Find the critical points of [tex]f(x,y)[/tex]:

[tex]\dfrac{\partial f}{\partial x}=-2x=0\implies x=0[/tex]

[tex]\dfrac{\partial f}{\partial y}=y-4y^3=y(1-4y^2)=0\implies y=0\text{ or }y=\pm\dfrac12[/tex]

All three points lie within [tex]D[/tex], and [tex]f[/tex] takes on values of

[tex]\begin{cases}f(0,0)=4\\f\left(0,-\frac12\right)=\frac{65}{16}\\f\left(0,\frac12\right)=\frac{65}{16}\end{cases}[/tex]

Now check for extrema on the boundary of [tex]D[/tex]. Convert to polar coordinates:

[tex]f(x,y)=f(\cos t,\sin t)=g(t)=4-\cos^2-\sin^4t+\dfrac12\sin^2t=3+\dfrac32\sin^2t-\sin^4t[/tex]

Find the critical points of [tex]g(t)[/tex]:

[tex]\dfrac{\mathrm dg}{\mathrm dt}=3\sin t\cos t-4\sin^3t\cos t=\sin t\cos t(3-4\sin^2t)=0[/tex]

[tex]\implies\sin t=0\text{ or }\cos t=0\text{ or }\sin t=\pm\dfrac{\sqrt3}2[/tex]

[tex]\implies t=n\pi\text{ or }t=\dfrac{(2n+1)\pi}2\text{ or }\pm\dfrac\pi3+2n\pi[/tex]

where [tex]n[/tex] is any integer. There are some redundant critical points, so we'll just consider [tex]0\le t< 2\pi[/tex], which gives

[tex]t=0\text{ or }t=\dfrac\pi3\text{ or }t=\dfrac\pi2\text{ or }t=\pi\text{ or }t=\dfrac{3\pi}2\text{ or }t=\dfrac{5\pi}3[/tex]

which gives values of

[tex]\begin{cases}g(0)=3\\g\left(\frac\pi3\right)=\frac{57}{16}\\g\left(\frac\pi2\right)=\frac72\\g(\pi)=3\\g\left(\frac{3\pi}2\right)=\frac72\\g\left(\frac{5\pi}3\right)=\frac{57}{16}\end{cases}[/tex]

So altogether, [tex]f(x,y)[/tex] has an absolute maximum of 65/16 at the points (0, -1/2) and (0, 1/2), and an absolute minimum of 3 at (-1, 0).

Answer: 330 people

Step-by-step explanation:

added them all up

Answer:

113°

Step-by-step explanation:

By remote interior angle theorem:

a + 35° = a - 30° + a - 48°

a + 35° = 2a - 78°

35° + 78° = 2a - a

113° = a

a = 113°

Answer:

i think the answer is 0.3071

Step-by-step explanation:

But I might be wrong

Answer:

-46 is your answer.

Step-by-step explanation:

=4-2(3+2)^2

=4-2(5)^2

=4-2(5✖️5)

=4-2(25)

Opening brackets to simplify

=4-50

=-46 is your answer.

Hope it will help you :)

Answer:

-46

Step-by-step explanation:

[tex]4 - 2(3 + 2)^{2} \\ [/tex]

PEDMAS

[tex]4 - 2(5)^{2} \\ 4 - 2(25) \\ 4 - 50 \\ = - 46[/tex]

10c^6d^-5×2c^-5d^4

20cd^-1

20c×1/d

20c/d

Step-by-step explanation:

Let w be the speed of wind and v be speed of airplane without wind.

[tex]average \: speed = \frac{total \: distance }{total \: time} [/tex]

(A)

[tex]speed \: against \: wind( v - w) = \frac{2100}{6} = 350mph[/tex]

(B)

[tex]speed \: with \: wind(v + w) = \frac{2100}{4} = 525mph[/tex]

(C)

Adding equations A and B, we get :

(v - w) + (v + w) = 350 + 525

2v = 875

V = 437.5 mph

Answer:

2.6 ft

Step-by-step explanation:

8.3/sin 90 = MK/sin 18

MK = 8.3 sin 18 / sin 90

MK = 2.6 ft

Answer:

2.6

Step-by-step explanation:

Two ways of solving:

1. Convert the fractions to decimals:

3/7 = 0.42857

3/5 = 0.6

0.42857 < 0.6

So 3/7 < 3/5

Second way is to rewrite the fractions with a common denominator:

3/7 = 15/35

3/5 = 21/35

Now compare the numerators:

15 < 21 so 3/7 < 3/5

Answer:

No.

Step-by-step explanation:

Irrational numbers are numbers that you can't solve like 3 squared. See you can't find the end of 3 squared, the numbers will go on forever just like pi.

Answer:

No

Step-by-step explanation:

A rational number can be written as the ratio of integers

-4/-1 = -4

This is a rational number

Answer:

91

Step-by-step explanation: 7*13 = 91

91/7 = 13

Answer:

False

Step-by-step explanation:

Right on Odyssey

It is never possible for the theoretical and experimental probabilities to be the same which is false.

Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.

Then the probability is given as,

P = (Favorable event) / (Total event)

Theoretical and experimental probability can be the same in some circumstances.

For example, the theoretical and experimental chance of rolling a fair six-sided dice and receiving a 3 is 1/6. However, the theoretical and experimental probabilities will differ in many other cases due to factors such as sampling error or differences between the idealized model and the real-world situation.

Thus, the statement is false.

More about the probability link is given below.

https://brainly.com/question/795909

#SPJ3

Answer:

2804 cm²

Step-by-step explanation:

Total area comprises of 6 faces: 2 trapezoids and 4 rectangles

Total area:

552*2 + 544 + 238 + 408 + 510 =  2804 cm²

Answer:

19v - 18

Step-by-step explanation:

Hello!

v - 6(-3v + 3)

Distribute the -6

-6 * -3v = 18v

-6 * 3 = -18

v + 18v -18

Combine like terms

19v - 18

The answer is 19v - 18

Hope this helps!

Answer:

V=6;v=1

Step-by-step explanation:

(V-6)(-3v+3)

-3v^2+3v+18v-18

-3v^2+21v-18

Multiple it by minus one we will get

3v^3-21v+18

Now breaking by midterm

3v^2-18v-3v+18

3v(v-6)-3(v-6)

(V-6)(3v-3)

V=6;v=1

Answer:

Graph B

Step-by-step explanation:

In a negative linear association between x and y, we are looking for a graph that:

A. Doesn't curve - is completely straight

B. Decreases in y as x increases (because slope is rise over run)

We know that graphs C and D are eliminated because they aren't linear.

We can also tell that graph A is eliminated because it shows a positive association.

So Graph B is all that's left.

Hope this helped!

Answer:

Graph B

Step-by-step explanation:

A negative linear equation has a straight line that goes down, making B the answer.

Answer:

Our decision rule will be to reject The null hypothesis H0 if the test statistic is less than -1.645, or if it is greater than +1.645.

Step-by-step explanation:

The hypotheses would be;

Null hypothesis;H0: μ = 500

Alternative hypothesis;Ha: μ ≠ 500

Since it's two - tailed at 0.1 level of significance, then each tail will contain 5% or 0.05. From the z-table attached, the corresponding critical value of 0.05 is approximately 1.645 standard deviations from the mean.

Thus, our decision rule will be to reject The null hypothesis H0 if the test statistic is less than -1.645, or if it is greater than +1.645.

Acceleration = final speed - initial speed / time

Acceleration = 6 m/s  - 0 / 3s

Acceleration = 6m/s / 3s

Acceleration = 2 m/s^2

Answer:

[tex]\Huge \boxed{\mathrm{2 \ m/s^2 }}[/tex]

Step-by-step explanation:

[tex]\displaystyle acceleration = \frac{final \ velocity - initial \ velocity}{elapsed \ time}[/tex]

[tex]\displaystyle A = \frac{V_f - V_i}{t}[/tex]

The initial velocity is 0 m/s.

The final velocity is 6 m/s.

The elapsed time is 3 s.

[tex]\displaystyle A = \frac{6 - 0}{3}[/tex]

[tex]\displaystyle A = \frac{6}{3}=2[/tex]

The acceleration is 2 m/s².

Answer:

3 would be 3 million

Step-by-step explanation:

Answer:

b= {1,2,3,4} is the answer

Answer:

x ≥ -1/2

Step-by-step explanation:

We know that we cannot graph imaginary numbers. Therefore, our x value has to be greater than or equal to 0:

To find our domain, we need to set the square root equal to zero:

√(4x + 2) = 0

4x + 2 = 0

4x = -2

x = -1/2

We now know that no value below -1/2 can be used or we will get an imaginary number. Therefore, our answer is x ≥ -1/2

Alternatively, we can graph the function and analyze domain:

Answer: 0.7 liters

Step-by-step explanation:

First convert 3 cups to Liters

3 cups = 0.709765

Now round 0.709765 to the nearest 10 which give you 0.7

Answer:

0.7 liters Hope this helps!

Step-by-step explanation:

Answer:

A. g=11

Step-by-step explanation:

We want to find which choice makes the equation true. Let's plug in each answer choice.

A. g=11

26=7(11-9)+12      

26= 7(2)+12              Solve inside the parentheses.

26= 14+12                 Multiply 7 and 2.

26= 26                      Add 14 and 12.

This answer must be correct, but let's check the other choices .

B. g=12

26=7(12-9)+12      

26= 7(3)+12              Solve inside the parentheses.

26= 21+12                 Multiply 7 and 3.

26≠33                       Add 14 and 12.

This choice is not correct.

C. g= 13

26=7(13-9)+12      

26= 7(4)+12              Solve inside the parentheses.

26= 28+12                Multiply 7 and 4.

26≠40                      Add 28 and 12.

This is also not correct.

D. g= 14

26=7(14-9)+12      

26= 7(5)+12              Solve inside the parentheses.

26= 35+12                 Multiply 7 and 5.

26≠47                       Add 35 and 12.

This choice is not correct either.

The value of g that make the expression 26=7(g-9)+12 a true statement is A. g=11.

Answer:

2x3/2-5/2

=6/-3/2

=-1

6 divide by 2 is +3 and +3 divide by - 3 equals - 1

Answer:

-3x - 6 - 1

- 3x + 7

4x

Step-by-step explanation:

Answer:

$1518.31

Step-by-step explanation:

Books sold = 1307

Earning from 1307 copies = $1408.4

Earning from one copy:

Earning from 1409 copies expected:

Answer:

(-3 ÷ 4)x^2 + 6x

Step-by-step explanation:

Data provided in the question

Maximum height = 12m

Number of seconds = 8

Height = 3m

Based on the above information, the quadratic equation is as follows

Since it took 8 seconds for reaching the maximum height and then it returned to the ground level so here the highest point is done after 4 seconds also this graph represents the motion in parabola so the a should be negative

Now it is mentioned that

a × x ^ 2 + bx + c =0

We can assume that

x = 0

x = 8

As these {0.8} are intercepts of x

When x = 0, then it would be

a × 0 ^ 2 + b(0)  + c = 0 .................... (i)

Therefore 0 = 0

Now x = 8, it would be

a × 8 ^ 2 + b(8)  + c = 0

Therefore a(8)^2 + b(8) + c =  0 ..................(ii)

As we can see  that in the first equation c should be zero

While the second equation would be

64a + 8b = 0

i.e.

8a = -b or a = -b ÷ 8

Now as per the quadratic function, it appears

(-b ÷8)x^2 + bx + 0

Now the parabola vertex is (4, 12)

Now put this in the place of a

(-b ÷ 8)(4)^2 + b(4) = 12

Now for solving this b, all terms should be multiplied by 8

That comes

-b(16) + 32b = 96

16b = 96

So, b = 6.  

As a = -b ÷8

a = -6 ÷ 8

a = -3 ÷4

Now the equation is

= (-3 ÷ 4)x^2 + 6x

Hence, this is the equation

Answer:

The simple interest earned in one year is $10.5

Step-by-step explanation:

Simple interest = p × r × t

Where,

p = principal

r = interest rate

t = time

Principal= $350

Interest rate = 3%

=3/100

=0.03

Time= 1 year

Simple interest = p × r × t

= $350 × 0.03 × 1

= $10.5

The simple interest earned in one year is $10.5