Why is math so hard

Answer:

the volume of sand is [tex]50 ft^{3}[/tex]

Step-by-step explanation:

This problem bothers on the mensuration of solid shapes, rectangular prism.

Given data

[tex]Length l= 4 ft Width w= 5ft\\Height h = 3ft[/tex]

if the sandbox is filled with sand of [tex]2\frac{1}{2 } ft[/tex] deep the volume of the sand in the box will be calculated based on the the depth of the sand

converting the depth of sand from mixed fraction to proper fraction we have [tex]2\frac{1}{2} = \frac{5}{2}[/tex]

the expression for the volume of a rectangular prism is

[tex]volume of sand = length * width* height[/tex]

substituting our data into the expression we have

[tex]volume of sand= 5*4 * \frac{5}{2} \\volume of sand = \frac{100}{2} \\volume of sand = 50 ft^{3}[/tex]

Answer:

Check the explanation

Step-by-step explanation:

Present predicted

Revenue - per test 10000 8000

Variable cost - per test 7000 7000

Contribution – per test 3000 1000

Net income (10,000 test – 11,500 tests) 30,000,000 11,500,000

Answer:

Correct answer is D. ASA

Step-by-step explanation:

Let us first define ASA congruence rule:

2 triangles are called congruent according to ASA congruence rule if 2 angles of the triangle and the corresponding side between these two angles are equal to each other.

In the question figure, we can figure out following conclusions from Triangles [tex]\triangle SRT\text{ and }\triangle WXY[/tex] respectively:

As per the definition of option d) ASA congruence, the triangles are congruent.

Answer:

Step-by-step explanation:

Answer:

x-intercept (-7,0)

y-intercept (0,2)

Step-by-step explanation:

Answer:

x-intercept (-7 , 0)

y-intercept (2 , 0)

x intercept is where on the x - aces a point is sitting on on the line

--------------------------     <--- this one is x

y intercept is where on the y- aces a point is sitting on the line

║    <---- this one is y

Answer:

ACB=61°, BAC=58°, AEF=65°

Step-by-step explanation:

C = 122°, 180-122=58° ACB= 122°÷2=61°

61°+61°+A=180, hence 58°

65 because of opposite angles, they are equal

Answer: x = 6, y = 4

Step-by-step explanation:

Given the following :

In parallelogram DEFG:

DH = x + 2, HF = 2y, GH = 4x – 3, and HE = 5y + 1

According to the diagram,

The diagonals of the parallelogram buscect each other

The diagonal GE:

GH = HE

4x - 3 = 5y + 1 - - - - (1)

The Diagonal DF:

DH = HF

x + 2 = 2y

x = 2y - 2 - - - - - (2)

Replace x = 2y - 2 in equation (1)

4(2y - 2) - 3 = 5y + 1

8y - 8 - 3 = 5y + 1

8y - 5y = 1 + 8 + 3

3y = 12

y = 4

Substityte y = 4 in equation (2)

x = 2(4) - 2

x = 8 - 2

x = 6

x = 6, y = 4

Answer:

C) 5 less than z is 33

Step-by-step explanation:

z-5=33

z-5+5=33+5

z=38

38-33=5

Answer:

the closest i got is [tex]\frac{43-24x}{2x-5}[/tex]

Step-by-step explanation:

I belive your answer should be letter B

Answer:

c

Step-by-step explanation:

the correct choice is c

Formula for the area of a quarter circle: A = (pi x r^2) / 4

A = (pi x 2^2) / 4

A = (pi x 4) / 4

A = 4pi / 4

A = 1pi = 3.14 square miles

Hope this helps! :)

Answer:

x = 6 or x = -7

Step-by-step explanation:

Solve for x over the real numbers:

x^2 + x - 42 = 0

The left hand side factors into a product with two terms:

(x - 6) (x + 7) = 0

Split into two equations:

x - 6 = 0 or x + 7 = 0

Add 6 to both sides:

x = 6 or x + 7 = 0

Subtract 7 from both sides:

Answer: x = 6 or x = -7

Answer:

x = 21, y = 2

Step-by-step explanation:

4x- 3y = 78....(1)

2x + 3y = 48 ...(2)

Adding eqiautions (1) and (2)

4x- 3y = 78

2x + 3y = 48

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

6x + 0 = 126....(Here y has been eliminated)

6x = 126

[tex] x= \frac{126}{6}\\\\

\therefore x = 21\\[/tex]

Plugging x = 21 in equation (2) we find:

2 * 21 + 3y = 48

42 + 3y = 48

3y = 48 - 42

3y = 6

[tex] y= \frac{6}{3}\\\\

\therefore y = 2\\[/tex]

Correct answers are

<BDE

<EDF

Answer:

They are already in standard form.

Step-by-step explanation:

Answer:

2.97

Step-by-step explanation:

8.8 = 4 *2.2 = 4 * 220/100

220 = 4 *55

8.8 = (4 *4*55)/100 = 16 *55/100

[tex]\sqrt{8.8} =\sqrt{(16 * 55)}/\sqrt{100\\}[/tex]

[tex]\sqrt{8.8}= \frac{4}{10}*\sqrt{55}[/tex]

≈[tex]\sqrt{8.8} = 0.4 * 7.416 = 2.9664 \\2.97[/tex]

Answer:

28.26 square feet

Step-by-step explanation:

A=πr²

A=(3.14)(3)²=28.26 square feet

Answer:

1st option.

[tex]\sum_{k=1}^{6} \frac{1}{2k-1}[/tex]

Step-by-step explanation:

The given sequence is as follows:

[tex]1 + \dfrac{1}{3}+ \dfrac{1}{5}+ \dfrac{1}{7}+ \dfrac{1}{9}+ \dfrac{1}{11}[/tex]

Here, we can see that the denominator is in AP and the sequence is:

1, 3, 7, 9, 11

first term, a  = 1

Common difference, d = 2

We know that nth term for an AP:

[tex]a_n = a+(n-1)d[/tex]

where a is the first term and

d is the common difference.

So, nth term for above AP:

[tex]a_n = 1+(n-1)\times 2\\\Rightarrow 2n-1[/tex]

Here, we have 'k' in place of 'n':

[tex]a_k = 2k-1[/tex]

And as per the given sequence in the question, the kth term is simply the reciprocal:

i.e. [tex]\dfrac{1}{2k-1}[/tex]

and sum is to be done up to k = 6 from k = 1.

Hence, the summation notation for the sequence

[tex]1 + \dfrac{1}{3}+ \dfrac{1}{5}+ \dfrac{1}{7}+ \dfrac{1}{9}+ \dfrac{1}{11}[/tex]

is:

[tex]\sum_{k=1}^{6} \frac{1}{2k-1}[/tex]

Answer:

it is -1x2

Step-by-step explanation:

by the ex variable u will get it

Answer:

B

Step-by-step explanation:

B. Wendy leaves school to go home. She walks 60 yards north and then 80 yards west. She is 10 yards from the school.

got it right on edge

Answer:

x=1

y=5

Step-by-step explanation:

Found the answer online at math      way

no work and don't report me or delete my answer!!!

Answer:

94.2 inches.

Step-by-step explanation:

First, I just want to clarify that [tex]\pi[/tex] is actually spelled pi, not pie, like the pie you eat.

Finding the circumference is pretty easy. It is just the diameter times pi.

So if the diameter is 30 inches, and we use 3.14 for pi, then the circumference of the sign would be 94.2 inches.

Hope this helps!

Answer:

Speed of boat in still water = 28 miles/hr

Speed of current = 4 miles/hr

Step-by-step explanation:

Speed upstream, u = 96/4 = 24 miles/hr

Speed downstream, v = 96/3 = 32 miles/hr

Speed of boat in still water = ½(v+u)

= ½ (24 + 32) = 28 miles/hr

Speed of the current = ½ ( v - u)

= ½ (32 - 24) = 4 miles/hr

Answer:

b

Step-by-step explanation:

3 + 4x < 2(1 + 2x)

3 + 4x < 2 + 4x

Answer: the second answer

Step-by-step explanation:

If we want to find an inequality with no solution, that means we can expect no x and an unbalanced inequality (e.g., 3<0 which is untrue).

The second one is like that because the inequality is

3+4x[tex]\leq[/tex]2(1+2x)

If we solve it out, we get

3+4x[tex]\leq[/tex]2+4x

When you remove the variable from both sides, you now have

3[tex]\leq[/tex]2

This statement is false, since 2 will never be greater than 3.

If we look at the others, we can see that there are answers for all of them.

Answer:

A(x) = 6.2 - 0.005x

Step-by-step explanation:

If you think about it, either 0.5/0.005 needs to be equal to 0.5%

0.5 is the same as 1/2 and therefore it is the same as 50%

So it must be 0.005!

Tip: I always just divide by 100 to get the decimal, it is a nice, easy and quick method

Answer:

After 3 months, Simon will be able to pay off his loan with the money he holds at his savings account.

Step-by-step explanation:

ending loan's principal balance = beginning loan's principal balance - number of months x $300

or we can simplify it:           l₁ = l₀ - 300x ⇒ l₁ = 3,300 - 300x

l₁ = ending loan's principal balance

x = number of months

ending savings account balance = beginning savings account balance + number of months x $600

or we can simplify it:         s₁ = s₀ + 600x ⇒  s₁ = 1,000 + 600x

s₁ = ending savings account balance

x = number of months

account balances for months

                                    month 1        month 2         month 3         month 4

boat loan                     $3.000         $2,700          $2,400           $2,100

savings account          $1,600         $2,200          $2,800           $3,400

Answer:

y equals 300x plus 3300

Step-by-step explanation:

Your answer would be 25%.

Assuming the coin is not biased, the probability of flipping a heads or tails is 1/2 equally. This remains the same no matter how many times you flip the coin, because the outcome of one flip does not affect the outcome of another.

This means that the probability of getting a tails the first flip is 1/2, and the probability of then getting a heads is also 1/2, so to find the probability of both happening you need to multiply these probabilities together, and 1/2 × 1/2 = 1/4, and 1/4 as a percentage is 25%.

I hope this helps! Let me know if you have any questions :)

Answer:

I think that you need to add obvoiusly.

12351 Thats what I got. But Im not sure if its correct. I hope his helps

Step-by-step explanation:

Answer:

16383

Step-by-step explanation:

12288+3072+767+192+48+12+3 =

Answer:

150 miles

Step-by-step explanation:

8/2 = 4

4x37.5 = 150