Solve the simultaneous equations
2x - 3y = 12
3x + 4y = 1

What am I doing wrong here?

Answer:

All three designs will hold he same amount of chocolate (60 cubic centimeters). So, the manager is wrong.

Step-by-step explanation:

Let's find the volume of each design.

For Design A, the cross section is a rectangle rectangle measured 3 cm by 2 cm.

Therefore, the area of the cross section is:

[tex]A_1=3(2)=6\text{ cm}^2[/tex]

Since the height is 10 cm, the total volume of Design A is:

[tex]V_1=10(6)=60\text{ cm}^2[/tex]

For Design B, the cross section is also a rectangle measuring 3 cm by 2 cm.

So, the area of the cross section is:

[tex]A_2=3(2)=6\text{ cm}^2[/tex]

And the height is still 10 cm. So, the total volume of Design B is:

[tex]V_2=6(10)=60\text{ cm}^3[/tex]

Note that we use the vertical height, and not the slant height. If this seems confusing, imagine each layer being a cracker. If 10 crackers were laid on top of each other perfectly, that is Design A. However, if we were to move each cracker to the right a bit, that is Design B. The volume of both cases are the same.

For Design C, the cross section is a triangle with a base length of 6 cm and a height of 2 cm.

So, the area of the cross section is:

[tex]\displaystyle A_3=\frac{1}{2}(2)(6)=6[/tex]

And since the height is 10 cm, the volume of Design C is:

[tex]V_3=6(10)=60\text{ cm}^3[/tex]

Therefore, as we can see, all three designs will hold he same amount of chocolate. So, the manager is wrong.

9514 1404 393

Answer:

  53

Step-by-step explanation:

Their average is the sum divided by 2: 108/2 = 54. This average is the even number between the two odd numbers of interest.

The smaller number is 53.

2) 4

Hope this helps :T

Answer:The answer is D

Step-by-step explanation: Mark me brainliest please

Answer:

88.4ft²

Step-by-step explanation:

oh lordy, why, why, nobody's garden is actually like this, and even if it was, you don't need to know the area, hold onto your hats:

So, we're going to assume that we can split the 10.4 evenly into the triangles and the trapezoid, so let's start with that:

10.4 ÷ 2 = 5.2 (if this is what get the whole thing wrong, I'm so sorry)

So, now we're going to do the triangle to the left of the trapezoid (remember that the formula for a triangle is base x height ÷ 2):

6 x 5.2 ÷ 2 = 15.6

So the area is 15.6ft

Now let's do the triangles under the trapezoid:

So the entire length of the under thing is 18 feet, and we take off 6 from the previous triangle, so:

18 - 6 = 12

and we're going to assume that both the triangles are equal:

12 ÷ 2 = 6

6 x 5.2 = 15.6 (at this point I realize that all the triangles are equal, welp, we just did that for nothing, anyways) now we need two of them

15.6 x 2 = 31.2

So the area of the triangles under the trapezoid is 31.2ft

Now, the trapezoid:

so we know that the top base is 4 feet, and we know that the bottom one is 12 from the triangles above us, (the formula for a trapezoid is (base + base)height ÷ 2) so:

4 + 12 = 16

16 x 5.2 = 83.2

83.2 ÷ 2 = 41.6

So the trapezoid is 41.6ft

Now we add all of our disgustingness together:

15.6 + 31.2 + 41.6 = 88.4

So, the area of the entire garden is 88.4ft²

hope this helps:)

Answer:

Part A: 3x + 36 = 180

Part B: x = 48

Step-by-step explanation:

A straight line is equal to 180 degrees. Knowing this, both 3x and 36 should be equal to 180. Write an equation:

3x + 36 = 180

Solve the equation:

3x + 36 = 180

Subtract 36 from both sides

3x = 144

Divide both sides by 3 to isolate the variable

x = 48

Check your work:

3(48) + 36 = 180

144 + 36 = 180

180 = 180

Correct

Answer:

5.7 m is the answer

Step-by-step explanation:

a = 7m

b = ?

c = 9m

According to the Pythagorean theorem,

a² + b² = c²

7² + b² = 9²

49 + b² = 81

b² = 81 - 49

b² = 32

b = 5.656

Round to the nearest tenth,

b = 5.7 m

Answer:

a) 11/7 pages or about 1.57

b) 23/11 dollars or 2.09090909....... (goes on forever)

BRAINLIEST PLS

Answer:

82+2>34

84>34

True

I hope this helps :)

Answer:

∝∦⊄↑∫∫π≡³≥α㏑∩⊃∞

Step-by-step explanation:

Answer:

X=4

Step-by-step explanation:

2(2x-4)+4=12

4x-8+4=12

4x-4=12

4x-4+4=12+4

4x=16

x=4

835.71$

Step-by-step explanation:

is the answer just done it

Answer:

32 homes

Step-by-step explanation:

To get the amount of homes with a pool, simply do

HOMES * 0.40

So 80x0.4 = 32 homes with a pool

Answer:

b.  TWO SAMPLE T TEST FOR POPULATION MEANS

Step-by-step explanation: the problem mentions difference and the mean number of minutes so you know it'll be a difference in population MEAN

Answer:

h = 2 ft

Step-by-step explanation:

V = lwh

144 = (9)*(8)*(h)

144 = (72)*h

h = 144/72

h = 2 ft

Answer:

n = 110

Step-by-step explanation:

Margin of Error :

Zcritical * s/ sqrt(n)

s = standard deviation = 4

Margin of Error = ±0.75

Zcritical at 95% level of confidence = 1.96

Margin of Error = Zcritical * s/ sqrt(n)

0.75 = 1.96 * 4 / sqrt(n)

0.75 = 7.84 / sqrt(n)

Take the square of both sides

0.5625 = 61.4656 / n

0.5625 * n = 61.4656

0.5625 = 61.4656

n = 61.4656 / 0.5625

n = 109.27217

About 110 samples

Answer:

100.29m

Step-by-step explanation:

Answer: the fountain is located at point (-1,-0.5)

Step-by-step explanation:

Answer: (-1 , -0.5)

Step-by-step explanation:

Answer:

15ft³

Step-by-step explanation:

Answer:

I did not understand your question.

But the answer is 40.0625

Answer:

we add the powers to have 4-6 =-2

4 to power -2 which gives 0.0625

Answer:

I believe it is B

Step-by-step explanation:

if correct pls mark brainliest

Answer:

4^8

Step-by-step explanation:

When multiplying powers, keep the base the same and add the exponents.

4^6 x 4^2 = 4^8

Answer:

x=8

y=1

the point would be at (8,1)

Answer:

C.

Step-by-step explanation:

Length * width * height = volume

15*9*9 = 1215

Answer:

no it doesn't as no is variable.

Answer:

what

Step-by-step explanation:

Answer:

im confused

Step-by-step explanation: