Answer:
Kayla bought 7 tacos and 10 hotdogs
Step-by-step explanation:
Let the number of hotdogs be x.
Let the number of tacos be y.
i) It is given that x = y + 3
ii) It is also given that 3.5x + 4y = 63, therefore 7x + 8y = 126
iii) substituting the value of x from i) in ii) we get 7(y + 3) + 8y = 126
therefore 15y + 21 = 126
therefore 15y = 105
therefore y = 7
Therfore Kayla bought 7 tacos
iv) Using the value of y from iii) in i) we x = 7 + 3 = 10
Therefore Kayla bought 10 hotdogs
Answer:
d = 24
Step-by-step explanation:
The area of a circle is given by A = π * r²
We are told the area of the clock is 144π.
Let's clear the formula for the radius:
r² = A / π
r² = 144π / π
r² = 144
r = √144
r = 12
The diameter is two times the radius, d = 2r = 2*12 = 24.
Answer:
3x - 8 > 22
Step-by-step explanation:
" eight less" means to subract 8 form something. If you had 10 apples and I took some so now you had 8 less apples, you'd have 10 - 8 = 2 apples
"three times a number" means 3x. 3 times some number.
The expression 3x - 8 means "8 less than 3 times a number"
"is" is math is a statement of equality, either an equals sign or an inequality needs to go here.
Our inequality is
3x - 8 > 22
Answer:
y = 1/4x -8
Step-by-step explanation:
First find the slope of the line
x-4y =3
Subtract x from each side
x-4y -x = -x+3
-4y = -x+3
Divide each side by -4
-4y/-4 = -x/-4 +3/-4
y = 1/4 x -3/4
This is in the form y= mx+b where the slope is m and the y intercept is b
The slope is 1/4
We want the same slope
y = 1/4x +b
we know the y intercept is -8
y = 1/4x -8
All three numbers multiplied to get the volume
surface area is the formula times base 1 and base 2 times base 3 and answer
