Answer:
Bike alone = 39
Step-by-step explanation:
Given that:
Total number = n(T) = 100
Jog= n(J)
Bike = n(B)
Bike and jog = n(BnJ) = 21
Number who jog = 46
Jog alone = 46 - 21 = 25
Neither jog nor bike = 15
Let bike alone = x
Hence,
Jog alone + bike alone + jog and bike + none of the two = 100
25 + x + 21 + 15 = 100
x = 39
Answer:
2x³ + x² - 11x - 15
Step-by-step explanation:
Step 1: Write out expression
2x³ + x² + 7x - 6 - (-2x + 10x + 10x + 9)
Step 2: Distribute negative
2x³ + x² + 7x - 6 + 2x - 10x - 10x - 9
Step 3: Combine like terms (x)
2x³ + x² + 9x - 10x - 10x - 9 - 6
2x³ + x² - x - 10x - 9 - 6
2x³ + x² - 11x - 9 - 6
Step 4: Combine like terms (constants)
2x³ + x² - 11x - 15
Answer:
What 108 represents here is that the total number of phones she has to fix each week is 108 phones
Step-by-step explanation:
The linear equation is
P = 108-23d
compare this with the general form;
y = mx + c
we have;
P = -23d + 108
We can see that 108 represents the y-intercept in this case
The x-value at the y-intercept is 0
So what this mean is that the number of phones she has to fix each week is 108
I am doing with Question Number 2
Let the two numbers be 'x' and 'y'.
According to the question, the product of two numbers is 14.
So, xy=14 (Equation 1)
Now, one of the numbers is 3 ½ times the other.
So, 
(Equation 2)
Substituting the value of 'x' from equation 2 in equation 1, we get
So, y= 2 and -2
So, 
and 
x=7 and -7
Numbers are 2,7 and -2,-7.
Sum of numbers 2 and 7 = 9
Sum of numbers -2 and -7 = -9.
3(23) really means 3*23, or just 3 multiplied by 23. For example: "Jana has 23 dollars. Her friend John has $23, and his friend Jacob also has 23 dollars. How much money do they have all together?" To solve this problem mentally, you could break 3*23 into two numbers you're familiar with multiplying, like 20 and 3, and then add the numbers together. For example: 3*20 + 3*3. 3*20=60, 3*3=9, and 60+9=69. So, 3*23=69.
