Answer:
He needs 16 ounces of raisins and 8 ounces of nuts
Step-by-step explanation:
Let
x -----> the number of ounces of raisins
y -----> the number of ounces of nuts
we know that
x+y=24 -----> equation A
x=2y -----> equation B
Solve the system by substitution
Substitute equation B in equation A and solve for y
(2y)+y=24
3y=24
y=8 ounces of nuts
Find the value of x
x=2(8)=16 ounces of raisins
therefore
He needs 16 ounces of raisins and 8 ounces of nuts
Answer:
Step-by-step explanation:
Retrieved Data
1) Exponential functions are given in this form:
For these questions let's focus on these two topics:
If x>0 then they are increasing, if x<0 then they are decreasing ones.
If the base is negative, a<0 then the graph will be traced below the x-axis.
Check the each and their corresponding function based on these pieces of information.
2) Check them below
Answer:
90°
Step-by-step explanation:
5x+20=9x
20=9x-5x
20=4x
x=5
5x+20+9x=
5(5)+20+9(5)=
25+20+45=
90
Answer:
19.5m
Step-by-step explanation:
Use the Pythagorean theorem.
a^2 + b^2 = c^2
The longest side, 35m, is c and the base of the triangle, 29m, is b.
a^2 + 29^2 = 35^2
Simplify.
a^2 + 841 = 1225
Get a by itself by adding -841 to both sides to cancel out the 841.
a^2 = 384
Find the square root of both sides to get rid of the exponent.
square root of 384 = ~19.5959
a = 19.5
Step 1: Simplify both sides of the inequality
<span>Step 2: Divide both sides by -8.</span>
x ≥<span><span> 3/2</span></span>
