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7nadin3 [17]
3 years ago
8

The school events committee is planning to buy a banner and some helium balloons for graduation night. A store charges them $35

for the banner and $3 for each helium balloon. If the committee has at most $125 to spend, how many helium balloons can they buy
Mathematics
2 answers:
faust18 [17]3 years ago
7 0

Answer:

30 balloons

Step-by-step explanation:

Cost of banner = $ 35

Remaining amount after paying for banner = 125 - 35 = $90

Number of balloons = Remaining amount ÷ cost of one balloon

= 90 ÷ 3

 = 30

Nat2105 [25]3 years ago
3 0

Answer:

30 baloons

Step-by-step explanation:

1. Remove the price of the banner from the total amount you can spend.  You should then end up with $90

2.  Divide 90 by 3, because each balloon costs $3.  You should end up with 30.

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What is the solution set of the quadratic inequality f(x) greater than or equal to 0
stellarik [79]

ANSWER

{x | x \in \: R}

EXPLANATION

From the graph, the given quadratic inequality is

{(x + 3)}^{2}  \geqslant 0

We can see that the corresponding quadratic function is a perfect square.

Since the graph opens upwards and it is always above the x-axis, any real number you plug into the inequality, the result is greater than or equal to zero.

Hence the solution set is

{x | x \in \: R}

The correct answer is A

3 0
3 years ago
Which of the equations below could be the equation of this parabola?
Mademuasel [1]

Answer:

Option B: y = -\frac{1}{2} x^2

Step-by-step explanation:

The parabola has its concavity downwards, so we need a function in the model:

y = ax^2 + bx + c

With a negative value of 'a'

The vertex is (0,0), so we have that:

0 = 0a + 0b + c

c = 0

The x-coordinate of the vertex is given by the equation:

x\_vertex = -b/2a

-b/2a = 0

b = 0

So we have a function in the model:

y = ax^2

With a < 0

The only option with this format is B:

y = -\frac{1}{2} x^2

7 0
3 years ago
Please show work and will give Brainliest!!!!
Tpy6a [65]

Answer:

y + 9 = -0.4(x-7)

Step-by-step explanation:

in slope form , we will use y - y1 =m ( x - x1) ,

which will be y + 9 = -2/5(x-7) ,

in reduced form , we have y + 9 = -0.4(x-7)

6 0
3 years ago
Please help! It's due soon.
Sedbober [7]

Answer:

Because f(g(x)) = g(f(x)) = x, f and g <u>are </u> inverse functions.

Step-by-step explanation:

f(g(x)) = f(\frac{1}{4}\sqrt{x}) = 16(\frac{1}{4}\sqrt{x} ) ^{2} = 16(\frac{1}{16}x)=x

g(f(x)) = g (16x^{2}) = \frac{1}{4}\sqrt{16x^{2} } = \frac{1}{4}(4x) = x

6 0
3 years ago
20 POINTS<br><br>please help and have a good weekend
Over [174]

A = 6 cm; B = 3 cm; C = 8 cm; D = 10 cm

The Surface area of the prism = 120 cm².

<h3>How to Find the Surface Area of Triangular Prism?</h3>

Surface area = Area of A + B + C + D

The side lengths are:

A = 6 cm

B = 3 cm

C = 8 cm

D = 10 cm

Surface area of the prism = 2(area of triangular face) + area of rectangle 1 + area of rectangle 2 + area of rectangle 3

Area of triangular face = 1/2(b)(h) = 1/2(8)(6) = 24 cm

Area of rectangle 1 = (length)(width) = (10)(3) = 30 cm²

Area of rectangle 2 = (length)(width) = (6)(3) = 18 cm²

Area of rectangle 3 = (length)(width) = (8)(3) = 24 cm²

Surface area of the prism = 2(24) + 30 + 18 + 24 = 120 cm².

Learn more about Surface Area of Triangular Prism on:

brainly.com/question/16147227

#SPJ1

4 0
2 years ago
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