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3 years ago

Need help? Sorry if u see my work that I erased

Mathematics

2 answers:

sveta [45]3 years ago

8 0

6
4
4
12
3
4
I can't read the last one, sorry.

Luba_88 [7]3 years ago

4 0

1 batch= 1 1/2 cups flour 4 batches= 6 cups
1 batch = 1 tsp baking power and 1 tsp baking soda 4 batches = 4 tbsp and 1 tsp of baking powder and baking soda
1 batch = 3 large bananas 4 batches = 12 banans
1 batch = 3/4 cup sugar 4 batches =3 cups sugar
1 batch = 1 egg and 4 batches = 4 egg
1 batch = ? butter 4 batches = ? butter
for butter (i cant see the number) just take it 4 times. like if its 1/2 go
1/2+1/2+1/2+1/2 which is 2 cups. but i helped on most

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A large rectangular area is to be fenced off ( a large rectangle divided into 2 smaller rectangles). The fence used to divide th

Anvisha [2.4K]

Answer:

Length of area is 857.14 ft

Width of area is 857.14 ft

Length of dividing fence is 857.14 ft

Step-by-step explanation:

Here we have

Area of rectangle = Length × Width

The dimension, of the rectangle with the largest area is the dimension of a square, hence we have;

Length of rectangle = Width of rectangle = x

Hence, the perimeter of the area = 4·x, while the width of the dividing fence = x

Therefore, since the we have;

Cost of the perimeter fence = $15/foot

Cost of the dividing fence = $10/foot

Then;

4·x × 15 + x × 10 = 60000

60·x + 10·x = 60000

x = 60000/70 = 857.14 ft

Which gives the following dimensions;

Length of area = 857.14 ft

Width of area = 857.14 ft

Length of dividing fence = 857.14 ft.

3 0

3 years ago

Use a net to find the surface area of the prism.

eimsori [14]

Answer:

1232 m^2.

Step-by-step explanation:

The net consists of 2 triangles and 3 rectangles.

Area of each triangle = 1/2 * 24*7 .

Area of 1 rectangle = 25 * 19.

The other 2 have areas 24*19 and 7 * 19.

Therefore the surface area of the prism

= 2 * 1/2 * 24 * 7 + 25*19 + 24*19 + 7*19

= 1232 m^2.

6 0

3 years ago

Read 2 more answers

What is the value of the expression 6 3/4(-11.5)?

ANTONII [103]

Answer:

-8.635

Step-by-step explanation:

I used trigonometric identification

6 0

3 years ago

Manuel earns $7.25 per hour helping his neighbor. Last month he earned $348. Choose the correct equation and solution which dete

zysi [14]

Answer:

Number of hours= 48 hours

Step-by-step explanation:

Giving the following information:

Hourly rate= $7.25

Total earned= $348

<u>To calculate the number of hours worked, we need to use the following formula:</u>

Total earned= hourly rate*number of hours

number of hours= total earned / hourly rate

number of hours= 348 / 7.25

number of hours= 48 hours

6 0

3 years ago

Evaluate 1^3 + 2^3 +3^3 +.......+ n^3

Molodets [167]

Notice that

$(n+1)^4-n^4=4n^3+6n^2+4n+1$

so that

$\displaystyle\sum_{i=1}^n((n+1)^4-n^4)=\sum_{i=1}^n(4i^3+6i^2+4i+1)$

We have

$\displaystyle\sum_{i=1}^n((i+1)^4-i^4)=(2^4-1^4)+(3^4-2^4)+(4^4-3^4)+\cdots+((n+1)^4-n^4)$

$\implies\displaystyle\sum_{i=1}^n((i+1)^4-i^4)=(n+1)^4-1$

so that

$\displaystyle(n+1)^4-1=\sum_{i=1}^n(4i^3+6i^2+4i+1)$

You might already know that

$\displaystyle\sum_{i=1}^n1=n$

$\displaystyle\sum_{i=1}^ni=\frac{n(n+1)}2$

$\displaystyle\sum_{i=1}^ni^2=\frac{n(n+1)(2n+1)}6$

so from these formulas we get

$\displaystyle(n+1)^4-1=4\sum_{i=1}^ni^3+n(n+1)(2n+1)+2n(n+1)+n$

$\implies\displaystyle\sum_{i=1}^ni^3=\frac{(n+1)^4-1-n(n+1)(2n+1)-2n(n+1)-n}4$

$\implies\boxed{\displaystyle\sum_{i=1}^ni^3=\frac{n^2(n+1)^2}4}$

If you don't know the formulas mentioned above:

The first one should be obvious; if you add $n$ copies of 1 together, you end up with $n$ .
The second one is easily derived: If $S=1+2+3+\cdots+n$ , then $S=n+(n-1)+(n-2)+\cdots+1$ , so that $2S=n(n+1)$ or $S=\dfrac{n(n+1)}2$ .
The third can be derived using a similar strategy to the one used here. Consider the expression $(n+1)^3-n^3=3n^2+3n+1$ , and so on.

7 0

4 years ago