Students were surveyed about birthdays. How many more students were born on Wednesday than friday?

Shana bought sodas and popcorn for the movies .Sodas cost $3 each and popcorn cost $4 per bag . Shana bought 7 things from the c

asambeis [7]

Answer: Shana bought 2 sodas.

Shana bought 5 bags of popcorn.

Step-by-step explanation:

Let S represent the number of sodas that Shana bought.

Let B represent the number of bags of popcorn that Shana bought.

Shana bought 7 things from the concession., all either sodas or bags of popcorn. This means that

S + B = 7

Sodas cost $3 each and popcorn cost $4 per bag. Shana spent a total of $26. This means that

3S + 4B = 26 - - - - - - - - - - - - -1

Substituting S = 7 - B into equation 1, it becomes

3(7 - B) + 4B = 26

21 - 3B + 4B = 26

- 3B + 4B = 26 - 21

B = 5

S = 7 - B = 7 - 5

S = 2

3 0

3 years ago

Levi's car used 8 gallons of gas to drive 280 miles. At what rate does his car use gas in gallons per mile? Express your answer

Svetach [21]

Answer:

35 miles

Step-by-step explanation:

5 0

3 years ago

The ratio of green marbles to yellow marbles in Toby’s bag is equal to 2:3. What percent of the marbles in the bag are green mar

Andrews [41]

40% is the answer. you create a ratio and percent table is a way of solving it. Hope this helps!

3 0

3 years ago

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Which team has the mode with the highest score?

Andrei [34K]

Team B has a mode of 60, which is the highest mode of all three teams. Team A has a mode of 48 and Team C has a mode of 30. Mode is the number that occurs most frequently in the set of data.

8 0

3 years ago

<img src="https://tex.z-dn.net/?f=%20%5Cunderline%7B%20%5Cunderline%7B%20%5Ctext%7Bquestion%7D%7D%7D%20%3A%20" id="TexFormula1"

steposvetlana [31]

Answer:

See Below.

Step-by-step explanation:

In the given figure, AP = BP = PC.

And we want to prove that ∠ABC is a right angle.

Since AP = BP and BP = PC, we can create two isosceles triangles: ΔAPB and ΔCPB.

By the definition of isosceles triangles, in ΔAPB, ∠PAB and ∠PBA are equivalent. Let the measure of each of them be x°.

Likewise, in ΔCPB, ∠PCB and ∠PBC are equivalent.

And since AP = BP = PC, each of the angles∠PCB and ∠PBC will also be equivalent to x°.

And since the sum of the interior angles of a triangle total 180°, we acquire:

$\angle PAB+\angle PBA+\angle PCB+\angle PBC=180$

Since they are all equivalent:

$4x=180$

Hence:

$x=45^\circ$

∠ABC is the sum of ∠PBA and ∠PBC, each of which measures 45°. Hence:

$\angle ABC=\angle PBA+\angle PBC=45+45=90^\circ$

8 0

2 years ago

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