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vazorg [7]
4 years ago
8

Please help Mrs.Johnson spend $611 buying lunch for 78 students. If all lunches cost the same, about how much did she spend on e

ach lunch
Mathematics
1 answer:
djverab [1.8K]4 years ago
3 0
<h2>Greetings!</h2>

Answer:

$35.96 to 2.d.p. or 36 to 2.s.f.

Step-by-step explanation:

We can show this by:

611 = 78x

x being the 78 students

To find 1x which is the price of one student, or one lunch, we can simply divide both sides by 78:

\frac{611}{78} = \frac{78x}{78}

Or:

35.95 = 1x

So each lunch cost 35.96 to 2.d.p. or 36 to 2.s.f.


<h2>Hope this helps!</h2>
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Factorise x2 + 5x - 84
lana [24]

(x - 7)(x + 12)

Answer:

{x}^{2}  + 5x - 84 \\  {x}^{2}  + 12x - 7x - 84 \\ x(x + 12) - 7(x + 12) \\ (x - 7)(x + 12)

7 0
3 years ago
What is the area of the hexagon? O 60 O 68 O 120 O 106
Harlamova29_29 [7]

The hexagon is made up of two trapezoids, each having the following dimensions:

a=12\text{ m}\\b=5\text{ m}\\h=4\text{ m}

So, its total area is the sum of the areas of those two trapezoids.

A_h=2A_t=2\cdot\dfrac{1}{2}(a+b)h=(a+b)h\\A_h=(12+5)\cdot 4=68\text{ m}^2

4 0
4 years ago
A rich woman deposits a whole number of dollars x in her bank. The next time she deposits y dollars (still a whole number). Each
grin007 [14]

Answer:

x = 12

y = 22

Total amount = $2596

Step-by-step explanation:

First let's find the value of each deposit until the 10th in relation to x and y:

1st: x

2nd: y

3rd: x + y

4th: x + 2y

5th: 2x + 3y

6th: 3x + 5y

7th: 5x + 8y

8th: 8x + 13y

9th: 13x + 21y

10th: 21x + 34y

Now, we can write a system with two equations and two variables:

2x + 3y = 90

21x + 34y = 1000

From the first equation: x = (90 - 3y)/2

Using this value of x in the second equation, we have:

21*(90 - 3y)/2 + 34y = 1000

945 - 31.5y + 34y = 1000

2.5y = 55

y = 22

Now we can find x:

x = (90 - 3*22)/2 = 12

Now, summing all the deposits, we have a total of 55x + 88y, which is equal to 55*12 + 88*22 = $2596

5 0
4 years ago
4. If some of Tucson's residents have blue eyes and some of Tucson's residents are children, is the statement "Some of Tucson's
Tanzania [10]
Answer: <span>unsubstantiated.

This is, the statement </span><span>"Some of Tucson's residents are blue eyed children" cannot be inferred from the two original statements.

Because the subset of </span><span>"Tucson's residents that have blue eyes" and the subset of "Tucson's residents that are children" might or might not have common elements.</span>
7 0
3 years ago
What is the value of x in the solution to this system of equations?<br> x + 2y = -2<br> x = 4y - 8
Pepsi [2]

Answer:

the answer is (-4,1) in point form and or x= -4, y=1 in equation form.

8 0
3 years ago
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