Answer: Variable: y= Number of sour straws.
Inequality: 7.50+1.50y ≤ 15
Solution: y ≤ 5
Step-by-step explanation:
Let y= Number of sour straws.
Cost for nachos = $7.50
Cost per sour straw = $1.50
Total cost = 7.50+1.50y
Money he has $15
Total cost must be less than orequal to the money he has.
So required inequality: 7.50+1.50y ≤ 15
Subtract 7.50 from both sides
[tex]1.5y\leq 7.5\\\\\Rightarrow\ y\leq\dfrac{7.5}{1.5}\\\\\Rightarrow\ y\leq 5[/tex]
He can buy at most 5 sour straws.
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:
What is the equation in point−slope form of the line passing through (1, 2) and (2, 5)?
(5 points)
A.) (y − 2) = −3(x − 1)
B.) (y − 2) = 3(x − 1)
C.) (y − 1) = −3(x − 2)
D.) (y + 2) = 3(x + 1)
Please make sure the answer is correct
Answer:
B
Step-by-step explanation:
First, find the slope by using change in y divided by change in x.
Change in y = 5 - 2 = 3
Change in x = 2 - 1 = 1
This means that the slope is 3/1 = 3.
Then, you put it in the point-slope form so:
(y - 2) = 3(x - 1)
x/5 - 12 = -8 equals what
a pizza costs $11 and $1.50 per topping write a equation for cost in dollars and the nunber of toppings
Answer:
y= 11 + 1.50x. (y is the price, x is number of toppings)
Step-by-step explanation:
Solve the system by any method.
(3x – 4y = -5
(5x + 8y = -1
Answer:
( x , y ) = ( -1,1/2)
Step-by-step explanation:
Solve the equation for X
[tex]\left \{ {{x=-5/3+4/3y} \atop {5x+8y=-1}} \right.[/tex]
Substitute the given value of x into the equation 5x + 8y = -1
5(-5/3+4/3y)+8y=-1
Solve the equation for Y
y=-1/2
Substitute the given value of y into the equation x = -5 / 3 + 4 / 3y
x=-5/3+4/3×1/2
Solve the equation for X
x=-1
The system solution is the computer pair
(x,y)=(-1,1/2)
Check if the ordered pair given to the solution of the system of equations
[tex]\left \{ {{3*(-1)-4*1/2=-5} \atop {5*(-1)+8*1/2=-1}} \right.[/tex]
Simplify the equations
[tex]\left \{ {{-5=-5} \atop {-1=-1}} \right.[/tex]
The ordered pair is the solution of the system of equations, since both equations are true
(x,y)=(-1,1/2)
Jack and Jill applied for the same credit card from the same bank. The bank checked both of their FICO scores. Jack had an excellent credit rating, and
Jill had a poor credit rating
Jack was approved for a card with an APR of 12%. What was his monthly periodic rate?
Jill was approved for a card with an APR of 21%. What was her monthly periodic rate?
If each of them had an average daily balance of $700 and had to pay a finance charge, how much MORE will Jill pay than Jack?
Answer:
a. Jack's monthly periodic rate = 1%
b. Jill's monthly periodic rate = 1.75%
c. Amount paid more by Jill than Jack = $5.25
Step-by-step explanation:
a. Jack was approved for a card with an APR of 12%. What was his monthly periodic rate?
Jack's monthly periodic rate = Jack's annual percentage rate (APR) / Number of months in a year = 12% / 12 = 1%
b. Jill was approved for a card with an APR of 21%. What was her monthly periodic rate?
Jill's monthly periodic rate = Jill's APR / Number of months in a year = 21% / 12 = 1.75%
c. If each of them had an average daily balance of $700 and had to pay a finance charge, how much MORE will Jill pay than Jack?
Jack's finance charge = Jack's monthly periodic rate * Average daily balance = 1% * $700 = $7
Jill's finance charge = Jill's monthly periodic rate * Average daily balance = 1.75% * $700 = $12.25
Amount paid more by Jill than Jack = Jill's finance charge - Jack's finance charge = $12.25 - $7 = $5.25
Determine the value of the variable from the image below.
Answer:
x=29Step-by-step explanation:
to understand the solving stepsyou need to know about:right angleequationPEMDASto solve:xlet's solve:a right angle contains 90° (always)
according to the question
x+3+x-1+x+1=90
3x3=90
x=87
x=29
solved56 cm
42 cm
What is the length of the hypotenuse?
C=
centimeters
Answer:
70
Step-by-step explanation:
56*56 = 3136
42*42 = 1764
3136+1764 = 4900
4900 squared is 70
Can somebody plz help answer these word prob questions plz thanks! (Grade7math( btw :)
WILL MARK BRAINLIEST WHOEVER ANSWER FIRST :DDD
Answer:
3:1
8:5
Step-by-step explanation:
no clue how to answer this
Answer:
s=4.75
Step-by-step explanation:
Just substitute the given variable values into the original equation
s=10•½+½•-2•½²
s=5+-1•¼
s=5+-¼
s=-4.75
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
Can some one help me please?? x+7 1/3=18 2/3
Answer:
Solve for x by simplifying both sides of the equation, then isolating the variable.
Exact Form: x = 34 /3
Decimal Form: x = 11. ¯ 3
Mixed Number Form: x = 11 1 /3
Step-by-step explanation:
hope this helps!
Which sentence can represent the inequality
Two functions are given below f(x) and h(x) State the axis of symmetry for each function and explain how you found it
Answer:
The axis of symmetry is the horizontal shift. If I am not wrong, you might be learning about absolute value functions or parabolas.
The absolute value function: f(x)= a|x-h|+k
The parabola (Vertex form of a quadriceps function): f(x)= a(x-h)^2+k
The variable ‘h’ is the horizontal shift, in other words, the axis of symmetry
(9x - 18)°
find the value of x
Answer:
x=2
Step-by-step explanation:
Help me for brainlist please
Answer:
C 80in^2
Step-by-step explanation:
Multiply 12*3*2 for the area of both sides of the H to get 72
For the middle multiply 2*4 to get 8
72+8=80
can someone please help me, ill give brainliest plus points!
Answer:
9 is the correct answer all the best
Step-by-step explanation:
(x + 0.5)/6 = 19/12
2(x + 0.5) = 19 (multiply 12 on both sides)
x + 0.5 = 9.5 (divide 2 on both sides)
x = 9 (subtract 0.5 on both sides)
The answer is 9.
Plzz help I’ll mark Brainly!!!
Given: ΔLMN ≅ ΔPQR Find: m
A school band consists of 45 boys and 50 girls of total number of boy 18 play the drums what percent of boys in the band play the drums
Explain how you could set up an equation to find the amount of money you should save each week to buy the iguana that’s $9 in 6 weeks.
Determine the value of 3p if p =
6
Answer:
18
Step-by-step explanation:
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Answer:
[tex]y = \frac{1}{2} x + \frac{1}{2} [/tex]
Step-by-step explanation:
equation of line formula:
[tex]y = mx + c[/tex]
m = slope
c = y-intercept
1) find m
slope formula:
[tex]m = \frac{ y_{2} - y_{1} }{ x_{2} - x_{1}} [/tex]
take 2 coordinates from the given graph and substitute the values into the slope formula
i) (-1,0)
[tex]x _{1} = - 1[/tex]
[tex]y_{1} = 0[/tex]
ii) (3,2)
[tex]x_{2} = 3[/tex]
[tex]y_{2} = 2[/tex]
substitute the values into the slope formula
[tex]m = \frac{2 - 0}{3 - ( - 1)} [/tex]
[tex]m = \frac{2}{4} [/tex]
[tex]m = \frac{1}{2} [/tex]
2) find the half equation of the line by substituting the value of m into the equation of line formula
[tex]y = \frac{1}{2} x + c[/tex]
3) find c by substituting either coordinate into the half equation
(3,2)
x = 3
y = 2
[tex]2 = \frac{1}{2} (3) + c[/tex]
[tex]2 = \frac{3}{2} + c[/tex]
[tex]2 - \frac{3}{2} = c[/tex]
[tex] \frac{1}{2} = c [/tex]
[tex]c = \frac{1}{2} [/tex]
4) find equation of line by substituting the value of c into the half equation
[tex]y = \frac{1}{2} x + \frac{1}{2} [/tex]
A scientist measures the change in the temperature of a chemical solution. At the start of the experiment, the solution is at a temperature of -14.96ºC. The temperature decreases 2.9ºC each hour. 1️⃣ Find the temperature of the solution after 3 hours. 2️⃣ Find the temperature of the estimated solution after 3 hours.
Answer:
-6.26°C
Step-by-step explanation:
Given that:
Initial temperature = - 14.96ºC
Temperature change per hour = 2.9ºC
Hence, the temperature of the solution after 3 hours can be obtained thus :
Final temperature = (initial temperature + (temperature change per hour * Number of hours))
Temperature after 3 hours :
-14.96 + 2.9(3)
-14.96 + 8.7
= - 6.26
Graphing a linear inequality in the plane: Standard form
Answer:
attached
Step-by-step explanation:
draw line pass (-12,0) and (0,3), solution is the shaded part
Can anyone help me with this?
Answer: C
Step-by-step explanation: The graph shows "Height" and "Seconds" not only the height, meaning its "the number of seconds it takes the ball to reach its maximum height"
Answer:
C
Step-by-step explanation:
The number of seconds it takes the ball..
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.
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
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:
solve this problem here vv:
Answer:
3
Step-by-step explanation:
Answer:
3 coefficients or answer c
Step-by-step explanation:
A coefficient is a holder of a vairable for example 5x in this equation 5 is the variable.
hope this helped brutherrr