Simplify the expression. -5a + 3b + 8a

A model of an Egyptian pyramid has a slant height of 18 centimeters and a 15-centimeter square base. What is the surface area o

Angelina_Jolie [31]

Answer:

here is an example to guide you

Step-by-step explanation:

To find how much paper for the model, you will use the formula for area of a square and area of a triangle.

A = bh

7.2 x 7.2

A = 51.84 cm²

A = 1/2bh

1/2 x 7.2 x 6

A = 21.6 cm²

21.6 cm² x 4 = 86.4 cm²

86.4 + 51.86=138.3

You will need 138.3 cm² of paper.

4 0

3 years ago

A school is taking a field trip with 195 students and 10 adults. Each bus can hold at most 40 students. We need to determine the

Alex777 [14]

Answer:

$40n>195+10$

$n>5.125$

Step-by-step explanation:

The equality must satisfy the following:

A total of 195 students and 10 adults with 40 students per bus at most.

If the students it can take is at most 40, we must consider the adults as well. This maximum excludes the adults so therefore the actual amount of students must be less the 40 to allow adults on the bus as well.

$40n>195+10$

We can solve for n:

$40n>205$

$n>5.125$

The number of buses need for this trip must great than 5.

8 0

3 years ago

Find a counterexample to show that the given conjecture is false:

andreev551 [17]

Answer:

Step-by-step explanation:

The conjecture: "The sum of two positive even integers is always an odd integer" can be easily be proven false with a counterexample.

Pick A=20 and B=16, both are positive even integers.

The sum of both A + B = 36 is an even integer. This is a counterexample because being even is the contrary of being odd.

Counterexample: 20 + 16 = 36

In fact, the conjecture is always false, since there cannot be found any pair of positive integers whose sum is odd.

Other possible counterexamples are:

10 + 8, 700 + 40, 12 + 14, etc.

4 0

3 years ago

Kirk has 12 dollars less than jim. If jim spends half of his money and kirk spends none,then kirk will have two dollars more tha

skelet666 [1.2K]

Answer:

Jim had $28

Kirk had $16

Step-by-step explanation:

Let

the amount of dollars Kirk has be "k"

and

the amount of dollars Jim has be "j"

Kirk has 12 dolalrs LESS THAN Jim, so we can write:

j = k + 12

Jim spends half & kirk spends none, so:

Jim has:

(k+12)(1/2) = (1/2)k + 12(1/2) = (1/2)k + 6

Kirk still has:

k

This will make Kirk's amount(k) be 2 dollar MORE THAN JIM'S AMOUNT (1/2k + 6). So we can write:

k = 2 + (1/2)k + 6

Now we can solve this for k:

$k=2+\frac{1}{2}k+6\\k-\frac{1}{2}k=6+2\\\frac{1}{2}k=8\\k=16$

And now, finding jim's amount:

j = k + 12

j = 16 + 12

j = 28

Initially,

Jim had $28

Kirk had $16

8 0

3 years ago

Discount: Buy Two shirts get 50 percent off third shirt. Ky wants to buy three shirts, which were originally priced at $49.96 ea

Anarel [89]

The three shirts cost $124.90

3 0

3 years ago