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kari74 [83]
4 years ago
10

Can someone please help

Mathematics
1 answer:
Inga [223]4 years ago
3 0

Answer:

15 boys.

Step-by-step explanation:

A class constituting of boys and girls:

Has a total of 35 students.

The number of girls outnumber that of boys by 5.

Let the number of boys be x such that the number of girls is x + 5.

∴

x + x + 5 = 35

2x + 5 = 35

2x = 35 - 5 = 30

x = 30/2 = 15

So there are 15 boys and 35 - 15 = 20 girls.

*<em>I believe you can now solve the second question.</em>

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Katherine is considering two new cell phone plans. She doesn't want to spend more for minutes she won't use. One plan allows up
mojhsa [17]

Answer:

The first plan of $49 will be best plan for her.

Step-by-step explanation:

Katherine used 1479 minutes call in the last 6 months.

So, the average monthly call that Katherine made is \frac{1479}{6} =246.5 minutes.

Now, there are two plans for mobile recharge.

One is 250 minutes call time for $49 and the other is 350 minutes call time for $65.

Since 246.5 < 250 and Katherine does not want to spend more for minutes she won't use, then the first plan of $49 will be the best plan for her. (Answer)

8 0
4 years ago
Please explain why. Thanks
xxTIMURxx [149]

<h3><u>Question</u> :-</h3>

Is (x-2) is a factor of x³-3x²-x +7 –

  • Yes
  • No ☑

<h3><u>Explanation</u> :-</h3>

We are given –

  • Polynomial function, P(x) = x³-3x²-x +7

  • In order to check if x - 2 is a factor of x³-3x²-x +7 or not, we must show that P(2) = 0.

  • Let's find value of x!

\qquad \twoheadrightarrow\bf P(x) = x³-3x²-x +7

\qquad \twoheadrightarrow\bf Q(x) =x - 2

\qquad \twoheadrightarrow\bf If \:Q(x) = 0

\qquad \twoheadrightarrow\bf x - 2 = 0

\qquad \twoheadrightarrow\bf x = 2

Now Put x = 2 into the polynomial –

\qquad \purple{\twoheadrightarrow\bf P(2) = 2³-3(2)²-2+7}

\qquad \twoheadrightarrow\sf P(2) = 8 - 3 \times 4 +5

\qquad \twoheadrightarrow\sf P(2) = 8 -12 +5

\qquad \twoheadrightarrow\sf P(2) = 13-12

\qquad \purple{\twoheadrightarrow\bf P(2) =1 }

  • Since the value of the polynomial function st x = 2 is not Zero (0). Henceforth, ( x - 2) is a factor of  x³-3x²-x +7.

________________________________________

5 0
2 years ago
Bonnie is n years old.
grin007 [14]

Answer:

T = 5n + 7

Step-by-step explanation:

Bonnie : n

Clara : 3n

Danesh : 7 + n

T = n + 3n + 7 + n

T = 5n + 7

6 0
3 years ago
If a triangle has a base of 5 and a height of 10, what is the area
Afina-wow [57]

Answer: 25

Step-by-step explanation:

Area equals 1/2 base x height

1/2 5 x 10

1/2 50

25

4 0
3 years ago
Read 2 more answers
The equation of the graphed line is 2x – y = –6.<br><br><br> What is the x-intercept of the graph?
Bas_tet [7]
U can either look at ur graph...and where the line crosses the x axis is ur x intercept...which is (-3,0)

OR

take ur equation and sub in 0 for y, and solve for x, ur x intercept.
2x - y = -6
2x - 0 = -6
2x = -6
x = -6/2
x = -3.....so ur x intercept is (-3,0)
4 0
3 years ago
Read 2 more answers
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