Answer:
Given triangles are similar
[tex] \frac{9}{6} = \frac{x}{4} \\\frac{3}{2} = \frac{x}{4} \\ x = \frac{(3 \times 4)}{2} \\ \boxed{x = 6}[/tex]
Value of x is 6.The ratio of girls to boys is 8 girls to 4 boys.
If there are 4 girls, how many boys are there?
Answer:
4
Step-by-step explanation:
What is the complete factorization of x^2 + 2x − 63?
A. (x + 21)(x − 3)
B. (x − 9)(x + 7)
C. (x + 9)(x − 7)
D. (x − 21)(x + 3)
Answer:
C. (x+9)(x-7)
Step-by-step explanation:
(x*x)=x^2
(9*x)=9x
(-7*x)= -7x
(9*-7)= -63
x^2+9x-7x-63 = x^2+2x-63
Ben is playing a card game. The numbers of the cards in his hand are 2, 3, 4, 4, 5, 7, 9, and 10. Ben may only play one card at a time.
What is the probability the next card Ben plays will be an odd number?
343 fourths
121 half
383 eighths
14
Answer: Half
Step-by-step explanation:
Two snakes race the speed of the first is 24 1/2 inches per minute and the speed of the other is 26 inches per minute how far apart with they be in 3 min? 10 min?
Answer:
637, 245
Step-by-step explanation:
Speed is the rate of change in the position of an object. The distance between the two snakes after 10 mins is 15 inches.
What is the relation between speed, distance, and Time?We know that sped, distance, and time all are in a relationship to each other. this relationship can be given as,
[tex]\rm{Speed = \dfrac{Distance}{Time}[/tex]
Given to us
Two snakes race The speed of the first is 24 1/2 inches per minute The speed of the other is 26 inches per minute What is the distance between them after 3 mins?The relative speed between them, as they are moving in the same direction, therefore,
Relative speed = (26-24.5) = 1.5 inches per minute
[tex]\text{Distance between them after 3 mins}= \rm speed \times \rm time[/tex]
[tex]= 1.5 \times 3\ mins\\= 4.5\ inches[/tex]
Thus, the distance between the two snakes after 3 mins is 4.5 inches.
What is the distance between them after 10 mins?The relative speed between them, as they are moving in the same direction, therefore,
Relative speed = (26-24.5) = 1.5 inches per minute
[tex]\text{Distance between them after 10 mins}= \rm speed \times \rm time[/tex]
[tex]= 1.5 \times 10\ mins\\= 15\ inches[/tex]
Thus, the distance between the two snakes after 10 mins is 15 inches.
Learn more about Speed, distance, and Time:
https://brainly.com/question/15100898
I NEED HELP!!!!
Physical therapists measure strength on a dynamometer, which uses a unit called a foot-pound. Suppose you increase the strength in your elbow joint from 90 foot-pounds to 125 foot-pounds. Find the percent of increase to the nearest percent.
A.
39%
B.
138.9%
C.
28%
Answer:
A. 39%
Step-by-step explanation:
(125-90)/(90)=(35)/(90)=0.3889 or 39%
To find the percent increase, we need to divide the amount of change by the original amount.