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photoshop1234 [79]
3 years ago
12

The double number line shows that in 2 minutes, Pogo the dog can fetch a frisbee 6 times.

Mathematics
1 answer:
kotegsom [21]3 years ago
4 0

Answer: try mat way

Step-by-step explanation:

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if each border paving stone costs $4.75, how much will the stones on the border of the patio cost if there are 324 paving stones
8_murik_8 [283]

Answer:

If there are 324 paving stones, it will cost $1539

Step-by-step explanation:

324 x 4.75 = 1539

5 0
2 years ago
6 to the power of 8 divided by 6 to the power of 4
tensa zangetsu [6.8K]

Answer:

7.716049382716049e-4‬ or 1,296

Step-by-step explanation:

If 6 is to the power of 8 and my mind is not mistaken. Then it's 6^8=1,679,616 and then divide that by 6 to the power of 4 is 6^4=1,296. In the end with the numbers set. 1,679,616 Divided by 1,296 or 1,296 divided by 1,679,616.

3 0
3 years ago
A church is bringing a group of its members to a "clean comedians" show. If they bring 15 people, it will cost $10 each. For eac
ratelena [41]

Answer:

a) $169.2

b) $202.8

c) the church can bring either 31 or 34 members

Step-by-step explanation:

For each person the church brings that exceeds 15, the ticket price goes down by $0.20

18 members exceed 15 by 3.

This means that for 3 persons the church brings that exceeds 15, we have 3*0.20 = $0.60

The price of the ticket will now be

10 - 0.6 = $9.40

For the 18 members, we now have

18*9.4 = $169.2

b) The model for bringing a number of people at a particular cost = C(x)

x is the number of people that exceeds 15

C(x) = (15+x)(10-0.2x)

C(x) = 150 - 3x + 10x - 0.2x^2

= 150 + 7x - 0.2x^2

In bringing 26 people to the show, it is 11 more than 15

C(11) = 150 + 7(11) - 0.2(11)^2

C(11) = 150 +77 - 24.2

= $202.8

c) if the church can only afford $210.8, to solve x, we have

150 + 7x - 0.2x^2 = 210.8

-0.2x^2 + 7x + 150 = 210.8

-0.2x^2 + 7x + 150 - 210.8 = 0

-0.2x^2 + 7x -60.8 = 0

(-b +/-√b^2 - 4ac) / 2a

a = -0.2 , b = 7 c = -60.8

(-7 +/-√7^2 - 4(-0.2)(-60.8)) / 2(-0.2) = 0

(-7 +/-√49 - 48.64) / -0.4 = 0

(-7 +/-√0.36) / -0.4 = 0

(-7 +/- 0.6) / -0.4 = 0

(-7+0.6)/-0.4 or (-7 - 0.6)/-0.4

(-6.4)/-0.4 or (-7.6)/- 0.4

16 or 19

So we have (15+16) = 31 members

(15+19) = 34 members

The church can bring either 31 members or 34 members

8 0
3 years ago
The longest side of an acute triangle measures 30inches. The two remaining sides are congruent, but their length is unknown. Wha
Nitella [24]

The two short sides must be longer than those required in an isosceles right triangle. The ratio of side length to hypotenuse length in a 45°-45°-90° triangle is 1 : √2. So, such a triangle requires side lengths of 30/√2 ≈ 21.213 inches. Its perimeter will be about

... (30 +21.213 +21.213) in = 72.426 in

Since the perimeter needs to be slightly longer than that for the triangle to be acute, the smallest possible perimeter is ...

... 72.43 in

8 0
3 years ago
Which of the answers are correct? there is possibly more than one.
Aleonysh [2.5K]

Answer:

b_2 = \frac{2A}{h} -b_1

Step-by-step explanation:

Given

A = \frac{1}{2}h(b_1 + b_2)

Required

Select equivalent expressions

Multiply through by 2

2*A = 2*\frac{1}{2}h(b_1 + b_2)

2*A = h(b_1 + b_2)

2A = h(b_1 + b_2)

Divide through by h

\frac{2A}{h} = \frac{h(b_1 + b_2)}{h}

\frac{2A}{h} = b_1 + b_2

Subtract b1 from both sides

\frac{2A}{h} -b_1= -b_1 + b_1 + b_2

\frac{2A}{h} -b_1=  b_2

b_2 = \frac{2A}{h} -b_1

<em>From the list of options, there is only one answer</em>

4 0
3 years ago
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