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4vir4ik [10]
3 years ago
6

Seaside Bike Shop rents bikes for $10 plus 54 per hour. Jack paid $30 to rent a bike. Which equation, when solved for x, gives t

he
number of hours he rented the bike?
Mathematics
1 answer:
lozanna [386]3 years ago
4 0
Y=54x+10
If he paid $30 it would be
30=54x + 10
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Let n (AUB)=32n(B)=16and n(ANB)9 find n (A)​
Lubov Fominskaja [6]

Answer:

32

Step-by-step explanation:

n(A∪B)=n(A)+n(B)−n(A∩B)−−−−−−−(1)

Given n(A)= ? we represent with x

n(B)= 16

n(A∪B) = 32

Substituting in equation 1 to get n(A)

32  = n(A) + 9 − 9

⇒n(A) = 32 − 0

n(A)  = 32

to confirm this we put the values into the formula below

n(A∪B)=n(A)+n(B)−n(A∩B)−−−−−−−(1)

32 =  32 + 9 - 9

4 0
2 years ago
Read 2 more answers
In AOPQ, o = 700 cm, p = 840 cm and q=620 cm. Find the measure of _P to the<br> nearest degree
Westkost [7]

Given:

In triangle OPQ, o = 700 cm, p = 840 cm and q=620 cm.

To find:

The measure of angle P.

Solution:

According to the Law of Cosines:

\cos A=\dfrac{b^2+c^2-a^2}{2bc}

Using Law of Cosines in triangle OPQ, we get

\cos P=\dfrac{o^2+q^2-p^2}{2oq}

\cos P=\dfrac{(700)^2+(620)^2-(840)^2}{2(700)(620)}

\cos P=\dfrac{490000+384400-705600}{868000}

\cos P=\dfrac{168800}{868000}

On further simplification, we get

\cos P=0.19447

P=\cos^{-1}(0.19447)

P=78.786236

P\approx 79

Therefore, the measure of angle P is 79 degrees.

8 0
3 years ago
Read 2 more answers
On a number​ line, suppose point E has a coordinate of -4 ​, and EG = 13. What are the possible coordinates of point​ G?
Ludmilka [50]

Answer:

9 or -17

Step-by-step explanation:

Hello!

The distance can be positive or negative, as we are just counting the number of units they are apart.

To find the possible coordinates for G, we can add or subtract 13 from -4 to find the possible coordinates for G.

<h3>Find G</h3>
  • -4 + 13 = G1
    -4 - 13 = G2
  • 9 = G1
    -17 = G2

The possible coordinates of G are 9 or -17.

7 0
1 year ago
A factory sells backpacks for $35 each. The cost to make 1 backpack is $15. In addition to the cost of making backpacks, the fac
Otrada [13]

Answer:9400 backpacks

\geqStep-by-step explanation

since the number of packs to be sold in a  is represented by x,

selling price for 1 week = 35x

cost price for 1 week = 15x

profit = 35x-15x = 20x

additional cost of production = 11,000

this implies that 20x - 11,000 \geq 7800

20x - 11,000 \geq 7,800

20x \geq 7800+ 11000

20x \geq 18,800

x \geq 18800/2

x \geq 9,400

at least 9,400 packs have to be sold each week to make a profit of $7800

7 0
3 years ago
Cho khối lăng trụ có đáy là hình vuông a và chiều cao bằng 2a. Thể tích của khối lăng trụ đã cho bằng bao nhiêu
Alenkinab [10]

Answer:

Step-by-step explanation:

V=B*h=a*a*2a

3 0
3 years ago
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