Answer:
$8.00
Step-by-step explanation:
cross multiply to get
then divide by 25 and you will get
x=8
Answer:
D
Step-by-step explanation:
You need to get the x out of the position in which is currently sitting, which is exponential. The only way to get an exponent out from that position is to take the log of both sides. The power rule of logs allows us to move the exponent down in front of the log. Like this:
7x - 2 log (125)=log(150)
Now you want to divide both sides by log(125) to get the 7x - 2 all by itself:
![7x-2=\frac{log(150)}{log(125)}](https://tex.z-dn.net/?f=7x-2%3D%5Cfrac%7Blog%28150%29%7D%7Blog%28125%29%7D)
Do that on your calculator and you'll get this:
7x - 2 = 1.037760918
Add 2 to both sides to get
7x = 3.037760918
then divide both sides by 7:
x = .4339 which rounds to .4340
Answer:
Answered
Step-by-step explanation:
"if the oven is hot then you may put the cake in". This the premise.
Now, The necessary condition will be "If the oven is hot" meaning the cake can be put inside the oven only when the oven is hot and not otherwise. So, here the hotness of the oven becomes the necessary condition.
"Oven is hot" is the necessary condition "to put the cake in"
Answer:
a)1 cup of flour
b)67.5 minutes
Step-by-step explanation:
a) A recipe requires 3 cups of flour to make 27 dinner rolls. How much flour is needed to make 9 rolls?
From the above question, we know that:
27 dinner rolls = 3 cups of flour
9 dinner rolls = x
Cross Multiply
27 rolls × x = 9 rolls × 3 cups
x = 9 rolls × 3 cups/27 rolls
x = 1 cup of flour
Hence, 1 cup of flour is needed to make 9 dinner rolls
b) Mandy runs 4 km in 18 min. She plans to run in a 15 km race. How long will it take her to complete the race?
From the above question:
4 km = 18 minutes
15km = x
Cross Multiply
4km × x = 15km × 18 minutes
x = 15km × 18minutes/4km
x = 67.5 minutes
Hence, in a 15km race , it would take her 67.5 minutes to complete her race.
Answer:
<em>T</em> = 5<em>g</em> + 3
Step-by-step explanation:
The information provided is summarized as follows:
- At party each guest receives five party favors
- The variable "<em>g</em>" represent the number of guests.
- Only three favors are left at the end.
Let <em>T</em> represent the total number of favors bought.
The expression representing the total number of favors given to the guests is:
5<em>g</em>.
Then the expression representing the total number of favors bought is:
<em>T</em> = 5<em>g</em> + 3