prove that the statement is true
AC ≅DB

By solving a linear equation, we can see that you should use 4lb of the $2.4/lb mix.

First, if you use x pounds of the $2.4/lb mix, the total mass of mixture that you will have is:

(x + 5lb).

And that mass must cost $1.5/lb, so the costs on the left side must be equivalent to the cost on the right side.

x*$2.4/lb + 5lb*($1.5/lb) = (x + 5lb)$1.9/lb

Now we need to solve this for x

x*$2.4/lb +  5lb*($1.5/lb) = x*$1.9/lb + 5lb*$1.9/lb

x*$2.4/lb - x*$1.9/lb  = 5lb*$1.9/lb -  5lb*($1.5/lb)

x*$0.5/lb = $2

x = $2/($0.5/lb) = 4lb

You should use 4lb of the $2.4/lb mix.

If you want to learn more about linear equations, you can read:

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Answer:

$0.18

Step-by-step explanation:

apple(s) : price

8         :    $1.44

4         :    $0.72

2         :    $0.36

1          :    $0.18

Using the Central Limit Theorem, it is found that the distribution of the sample mean of six randomly selected bottles is approximately normal, with mean 473 ml and standard error of 1.22 ml.

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

In this problem, for the population, we have that:

[tex]\mu = 473, \sigma = 3[/tex]

Then, for the sample of n = 6:

[tex]s = \frac{3}{\sqrt{6}} = 1.22[/tex]

More can be learned about the Central Limit Theorem at https://brainly.com/question/24663213

Answer:

option 4

Step-by-step explanation:

using the sine/ cosine ratios in the right triangle and the exact values

cos30° = [tex]\frac{\sqrt{3} }{2}[/tex] , sin30° = [tex]\frac{1}{2}[/tex] , then

cos30° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{20\sqrt{3} }[/tex] = [tex]\frac{\sqrt{3} }{2}[/tex] ( cross- multiply )

2x = 20[tex]\sqrt{3}[/tex] × [tex]\sqrt{3}[/tex] = 20 × 3 = 60 ( divide both sides by 2 )

x = 30

and

sin30° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{y}{20\sqrt{3} }[/tex] = [tex]\frac{1}{2}[/tex] ( cross- multiply )

2y = 20[tex]\sqrt{3}[/tex] ( divide both sides by 2 )

y = 10[tex]\sqrt{3}[/tex]

Step-by-step explanation:

sum of angle of quadrilateral is 360°

so,

2a+3a+4a+6a=360°

15a=360°

a = 360°/15= 24°

Now,

2a= 2×24=48

3a=3×24=74

4a=4×24=96

6a=6×24=120

Step-by-step explanation:

cosine is cos(angle)= adjacent/hypotenuse

sine is sin(angle) = opposite/hypotenuse

Tangent is tan(angle)= opposite/adjacent

for all of those

if the equation is something like tan(69)= x/69

multiply both sides by 69 so it will end up as x=69tan(69) and put that in the calculator

if it is something like tan(69)= 69/x

just swap x and tan(69)

it is much easier

it will then be 69/tan(69) and put that in the calculator

Answer:

  $282

Step-by-step explanation:

The price per ticket can be found by dividing the total cost by the number of tickets, then subtracting the value of any per-ticket add-ons.

  5(x +17) = 1495 . . . . . total cost of 5 tickets with 17 per ticket ins charge

  x +17 = 299 . . . . . . divide by 5

  x = 282 . . . . . . . price of 1 ticket

The price of one ticket is $282.

Answer:

Only Katie is correct

Step-by-step explanation:

4:10 = 2:5

3:9 = 1:3

10:25 = 2:5

4:10 = 10:25

Answer:

Katie

Step-by-step explanation:

if you multiply 4 by 2.5, you get 10. if you multiply 10 by 2.5 you get 25!

The sine and cosine are related to the definitions because of the identity [tex]\cos^{2}\theta + \sin^{2}\theta = 1[/tex].

The unit circle is a particular case of the Pythagorean theorem, in which hypotenuse ([tex]r[/tex]) has a measure of a unit. That is:

[tex]x^{2}+y^{2} = r^{2}[/tex]  (1)

Where:

If we divide the entire expression by [tex]r^{2}[/tex], then we have the following identity:

[tex]\left(\frac{x}{r} \right)^{2}+\left(\frac{y}{r} \right)^{2} = 1[/tex]

And by trigonometric relations, we have the following formula:

[tex]\cos^{2}\theta + \sin^{2}\theta = 1[/tex]  (2)

The sine and cosine are related to the definitions because of the identity [tex]\cos^{2}\theta + \sin^{2}\theta = 1[/tex]. [tex]\blacksquare[/tex]

To learn more on trigonometry, we kindly invite to check this verified question: https://brainly.com/question/6904750

Answer:

My guess is that the first box is 1 and the second box is 2 but that is a guess. I hope that helped! :)

Step-by-step explanation:

Answer:

1st box

Step-by-step explanation:

Answer:

9 1/7

Take 5 4/7 + 3 13/21 and get 9 1/7

Answer:

d

Step-by-step explanation:

28÷100×125=35

hope it helps

Answer:

35

Step-by-step explanation:

28% of 125=35

16% of 125=20

32% of 125=40

24% of 125=30

Answer:

514.5552

Step-by-step explanation:

:)

Answer:

514.55528

Step-by-step explanation:

that what 71.2% of 722.69 is it is 514.55528

Answer:

[tex] \frac{1}{1.5} [/tex]

Step-by-step explanation:

Let B represent Bill age

A be adam age

C be charlie age

We know that

[tex]b = 2a[/tex]

We also know that

[tex]c = b - 3[/tex]

And we know that

[tex]a + b + c = 27[/tex]

Fist let subsitue c for b-3

[tex]a + b + (b - 3) = 27[/tex]

[tex]a + 2b - 3 = 27[/tex]

[tex]a + 2b = 30[/tex]

We know that b=2a so

[tex]a + 2(2a) = 30[/tex]

[tex]a + 4a = 30[/tex]

[tex]5a = 30[/tex]

[tex]a = 6[/tex]

Plug that in first equation to solve for b

[tex]b = 2(6)[/tex]

[tex]b = 12[/tex]

Finally plug that in the final equation to solve for c.

[tex]6 + 12 + c = 27[/tex]

[tex]c = 9[/tex]

Know we want the ratio of Adam age, a to Charlie age, c.

So we have

[tex] \frac{6}{9} = \frac{2}{3} = \frac{1}{1.5} [/tex]

Answer:

the answer would be answer B

Answer:

the answer is number is the last one

Answer:

7/12

Step-by-step explanation:

Draw a rectangle with 12 squares. 5 of them will be pop and 7 will not.

The equation will be 12/12 = 5/12 + n. You will subtract 5/12 from each side and get 7/12 = n.

Answer:

22 degrees

Step-by-step explanation:

158 x 2 is 316

360 - 316 = 44

44 / 2 = 22

and both are the same angles for each set of angles.

» The diameter of a circle is 12 kilometers. What is the circle's circumference? Use 3.14.

— — — — — — — — — —

To find the circumference, use pi (π), a mathematical constant. Its value is approximately equal to 3.14.

— Multiply the diameter with π in order to get the circumference of a Circle.

Therefore, the circumference of the circle is 37.68 kilometers.

_______________∞_______________

Answer:

37.68km

Step-by-step explanation:

thus

alternative

Answer:

1/4

Step-by-step explanation:

A good way to explain this is if you have a bar split into fourths you are able to split each part into three parts making them twelfths

Answer:

182:242

Step-by-step explanation:

Reduce the ratio by its halves (50 percent) and simplify.

Although for this case, you could reduce it even further, because this is a ratio, not the true height.

If this is a test, I would not recommend that.

Answer:

7+(((3^2)*((-5)+1))/2

=-11

Step-by-step explanation:

Answer:

-2/5

Step-by-step explanation:

When you reflect a point across the line y = x, the x-coordinate and y-coordinate change places. If you reflect over the line y = -x, the x-coordinate and y-coordinate change places and are negated (the signs are changed). the line y = x is the point (y, x). the line y = -x is the point (-y, -x).

Answer:

the graph represents how many cups of chicken are required to make X number of salads

so point A represents making 3 salads requires 1.5 cups of chicken

Answer:

i cant see the photo

Step-by-step explanation:

Answer:

Gwendolen FairFax - believes that style is more important than sincerity

Jack Worthing - leads a double life

Lady Bracknell - a cunning, snobbish, and dominating woman

Cecily Cardew - extremely imaginative and lives in a fantasy world of her own

Algernon Moncrieff - a dandy

Explanation:

Edmenteum

Answer:

1. (x-6)(x+1)

Verify = x² + x - 6x - 6 = x² - 5x - 6

2. (x+8)(x-5)

Verify = x² - 5x + 8x - 40 = x² +3x - 40

3. (x-10)(x+3)

Verify = x² + 3x - 10x - 30 = x² - 7x - 30

Answer:

[tex]3x-7y=-10_{(1)} \\x=5y+2_{(2)}\\[/tex]

Substituting Equation 2 into equation 1

[tex]3(5y+2)-7y=-10_{(3)} \\15y+6-7y=-10\\15y-7y+6=-10\\8y+6=-10\\8y=-10-6\\8y=-16\\y=\frac{-16}{8} \\y=-2\\[/tex]

Substitute the value of y into Equation 2

[tex]x=5y+2\\x=5(-2)+2\\x=-10+2\\x=-8\\[/tex]

Therefore x=-8, y=-2

Step-by-step explanation:

Have a nice day :)

Answer:

the answer is 40.8 m2

Step-by-step explanation:

The area of a figure is the amount of space the figure occupies

The surface area of the figure is 34.8 square meters

How to determine the area of the shape

From the question, we have:

The dimensions of the congruent squares are 3 m by 3 m

The dimensions of the parallelogram are height of 2.8 m, and base of 6 m

So, the area of the figure is:

Area = 2 * Area of square + Area of parallelogram

This gives

Evaluate the products

Evaluate the sum

Hence, the surface area of the figure is 34.8 square meters

Read more about surface areas at:

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so the answer is 40.8 m2

The area of a figure is the amount of space the figure occupies

Hence, The surface area of the figure is 34.8 square meters

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Now, From the question, we have:

The dimensions of the congruent squares are 3 m by 3 m

The dimensions of the parallelogram are height of 2.8 m, and base of 6 m

So, the area of the figure is:

Area = 2 × Area of square + Area of parallelogram

This gives;

Area = 2 × 3 × 3 + 2.8 × 6

Area = 18 + 16.8

Area = 34.8 m²

Hence, The surface area of the figure is. 34.8 square meters

Learn more about surface areas at:

brainly.com/question/24571594

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