Step-by-step explanation:
<h3><u>G</u><u>i</u><u>v</u><u>e</u><u>n</u><u> </u><u>Inform</u><u>ation</u><u> </u><u>:</u></h3>
- Ryan spent 1/3 of his monthly salary for rent and 1/7 of his monthly salary for his utility bill.
- Remaining money = $759
<h3><u>T</u><u>o</u><u> </u><u>calculate</u><u> </u><u>:</u></h3>
<h3><u>C</u><u>a</u><u>l</u><u>c</u><u>u</u><u>l</u><u>a</u><u>t</u><u>i</u><u>o</u><u>n</u><u> </u><u>:</u></h3>
Let us assume his monthly salary as x. According to the question,
➝ Money spent on rent + Money spent for utility bill + Remaining money = His salary








<u>Therefore,</u><u> </u><u>his</u><u> </u><u>monthly</u><u> </u><u>income</u><u> </u><u>is</u><u> </u><u>$</u><u>1</u><u>4</u><u>4</u><u>9</u><u>.</u>
Answer:
52 miles
Step-by-step explanation:
We can use a ratio to solve this problem. Let put miles over time. We know that 1 hour = 60 minutes. We need to have the units the same.
130 miles x miles
-------------- = ---------------
150 minutes 60 minutes
Using cross products
130 * 60 = 150 x
Divide each side by 150
130/150 * 60 = 150x/150
52 =x
A9th = -1* 5^(n-1)
a9th = -1*5^(9-1)
a9th = -1*5^(8)
a9th = -390625
Hope this helps!
Answer:
f(x) = x² + 4x + 3
Step-by-step explanation:
Here in this problem, we have to find the quadratic function that has x = - 1 and x = - 3 as the only two real zeros.
So, from the above condition, we can say that (x + 1) and (x + 3) are the only two factors of the function.
Therefore, the function will be f(x) = (x + 1)(x + 3), such that if the function is zero, then the solutions will be x = - 1 and x = - 3.
Hence, f(x) = x² + 4x + 3 (Answer)
The area of figure ABCDEF can be computed as the sum of the areas of trapezoid ACDF and triangle ABC, less the area of trangle DEF.
trapezoid ACDF area = (1/2)(AC +DF)·(CD) = (1/2)(8+5)(6) = 39
triangle ABC area = (1/2)(AC)(2) = 8
triangle DEF area = (1/2)(DF)(2) = 5
Area of ABCDEF = (ACDF area) + (ABC area) - (DEF area) = 39 +8 -5 = 42
The actual area of ABCDEF is 42 square units.