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taurus [48]
3 years ago
13

monica has some cookies. she gave seven to her sister. then, she divided the remainder into two halfway, and she still had five

cookies left. writing equations using symbols
Mathematics
1 answer:
mestny [16]3 years ago
6 0

Answer:  \bold{\dfrac{x-7}{2}=5\qquad \rightarrow \qquad x = 17}

<u>Step-by-step explanation:</u>

Monica has some cookies: x

She gave seven to her sister: x - 7

Then she divided the remainder into 2: \dfrac{x-7}{2}

She still had five cookies left: \dfrac{x-7}{2}=5


To solve, multiply both sides by 2, then add 7 to both sides.

\dfrac{x-7}{2}(2)=5(2)\qquad \rightarrow \qquad x - 7 = 10

x - 7 = 10\qquad \rightarrow \qquad x = 17

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How many ways are there to distribute five balls into seven boxes if?
katovenus [111]
There are a lot of ways but here are a couple of examples.
1. 1,2,3,4,5 - 1,2,4,5,3 - 1,4,5,3,2...... So on Hope this helps:)
3 0
3 years ago
A group of band instructors answered a survey about hours of rehearsal per week and number of competitions won. The graph shows
IRISSAK [1]

Answer: B. 31

Step-by-step explanation:

This linear regression was constructed by relating the hours practiced per week and the number of competitions won.

Going by this graph, the number of competitions they can expect to win at 5 practices a week is 31.

This is derived by looking for the point where 5 competitions on the x-axis intersects with the line. This point is at 31 competitions on the y axis which would make it the answer.

5 0
3 years ago
Read 2 more answers
First line joins ordered pairs negative 4, 3 and 2, negative 3. Second line joins negative 4, negative 3 and 2, 3. Part A shaded
elena55 [62]

The part that represents the solution to the inequality will be Part B shaded below first line and above second line.

<h3>How to depict the inequality?</h3>

From the information given, the equation of the first line will be:

y - 3 = (-3 - 3/2 + 4)(x + 4)

y - 3 = -1(x + 4)

y + x = -4 + 3

x + y = -1

The equation of the second line will be:

y + 3 = -1(x + 4)

y = x + 4 - 3

y = x + 1

This is plotted on the graph attached.

From the systems of equations, the statement that is correct about the two systems of equations is that They will have the same solution because the first equation of System B is obtained by adding the first equation of System A to 3 times the second equation of System A.

Learn more about inequalities on:

brainly.com/question/12215820

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4 0
2 years ago
Brian is solving the equation x squared minus three-fourths x = 5. What value must be added to both sides of the equation to mak
Allushta [10]

Answer:

  StartFraction 9 Over 64 EndFraction

Step-by-step explanation:

He must add the square of half the x coefficient. That coefficient is 3/4, so half of it is 3/8 and the square of that is ...

  (3/8)^2 = 9/64

Brian mus add 9/64 to boths sides of the equation.

6 0
3 years ago
Read 2 more answers
PLEASE HELP ASAP!!! WILL AWARD BRAINLIEST!! THANKS!! A restaurant offers 6 choices of appetizer, 8 choices of main meal and 5 ch
gayaneshka [121]

Answer:

377 meals

Step-by-step explanation:

If you choose to have all three courses, then there are 6 choices for the first course, 8 for the second, and 5 for the last, making a total of 6*8*5=240 different possible meals.

If you choose two courses, then there are 3 options. You can pick appetizer and main meal, which would give you 6*8=48 possibilities. You can pick main meal and dessert, which would give you 8*5=40 possibilities. Finally you can pick appetizer and desert, which would give you 6*5=30 possibilities. In total these are 118 different possible meals with two courses.

Finally, you could choose 1 course, which would give you 6+8+5=19 different meals.

In total, this is 240+118+19=377 meals

8 0
3 years ago
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