Answer:
32 x 3 - 5 = 91
Step-by-step explanation:
First multiply because of order of operations (PEMDAS,) to get 96. Then subtract 5 from 96, to get 91.
In the seating for a concert, the first row has 10 chairs. Every row after that has 2 more chairs. 7. What is the explicit formula that models this situation? 8. How many chairs are in row 20?
9514 1404 393
Answer:
7. c(n) = 10 +2(n -1)
8. c(20) = 48
Step-by-step explanation:
7. Your arithmetic sequence has first term a1=10 and constant difference d=2. The explicit formula for terms of an arithmetic sequence is ...
an = a1 +d(n -1)
If we use c(n) as the function name for the function giving the number of chairs in row n, then we can fill in the numbers we know to get ...
c(n) = 10 + 2(n -1)
__
8. Evaluating the function when n=20, we find ...
c(20) = 10 +2(10-1) = 10 +2·19 = 10 +38
c(20) = 48
There are 48 chairs in row 20.
The cost of a car rental is $25 per day plus 22 per mile. You are on a daily budget of $90. Write and solve an inequality to find the greatest distance you can drive each day while staying within your budget. Use pencil and paper. Find 2 other two-step inequalities with the same solutions.
Answer: You can drive, at most, 2.95 miles per day.
x ≤ 2.95
Step-by-step explanation:
In a single day, you can spend at most $90
Then if C represents the cost of renting the car, then we will have the inequality:
C ≤ $90
Now let's find the equation for C.
We know that we have a fixed cost of $25 plus $22 per mile, then if you drive x miles, the total cost will be $25 plus x times $22, or:
C = $25 + x*$22.
We can now replace that in the inequality:
$25 + x*$22 ≤ $90
Now let's isolate the variable x
x*$22 ≤ $90 - $25
x*$22 ≤ $65
x ≤ $65/$22 = 2.95
x ≤ 2.95
You can drive at most, 2.95 miles per day.
To find other inequalities with the same solution we can start with the solution:
x ≤ 2.95
Now let's multiply both sides by a number (the units of the number can be dollars, in that way we can make a similar problem)
Let's multiply both sides by $10:
x*$10 ≤ 2.95*$10 = $29.5
x*$10 ≤ $29.5
Now let's add the same number in both sides, for example, $5.
x*$10 + $5 ≤ $29.5 + $5 = $34.5
x*$10 + $5 ≤ $34.5
We could write this problem as:
"To rent a cab in your city, you have an initial cost of $5, plus $10 for each mile driven. How many miles could you drive if at most you can spend $34.50?"
You could be more creative with the problem, but this is the way in which you can craft problems of this type when you already know the solution.
30 points! RIGHT ANSWER GETS BRAINLIEST!
Use 3 for pi. Area= (blank) circumference= (blank) meters
Answer:
Step-by-step explanation:
pi x 7 squared = 153.938040026
Given points H, I and J and HI = 9,1J = 9 and HJ = 16 . Are the three points collinear?
Answer:
Yes, the three points are collinear.
Step-by-step explanation:
None.
OMG HELP OMG HELP OMG HELP
Answer:
a
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
3 bouquets of 3$ is 3*3 = 3^2
4 bouquets of 2$ = 2 * 4
What value could you write in after 3x that would make the equation true for all values of x?
3x+12 = 3x+
Answer:
12
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
Identity property/ Associative Property
Tash conducted a survey of the students in her school.
From the results, Tash calculated that 60% of the
students go to school by bus.
Lian knows that 450 students go to school by bus.
How can she use the information to find the number of
students in the school?
Answer:
The total number of students in the school is 750. You can use algebraic equation to calculate the number of the students. Let x be the total number of students in the school. Hope this helps.
An episode of the television show, Legend of the Far Mountain, normally lasts 30 minutes and has 8 minutes of commercials. Tonight is the season finale, and the show will be 90 minutes long.
If the ratio of the show's length to the amount of commercial time is the same, how many minutes of commercials there will be during tonight's show?
Answer:
24
Step-by-step explanation:
If there will be 8 for 30
and it's 90 it mean it's just has more 30's
30 + 30+ 30=90
plplpl solve the answer
Given:
The expression is:
[tex]\sqrt[3]{\dfrac{-512}{729}}[/tex]
To find:
The value of the given expression.
Solution:
We have,
[tex]\sqrt[3]{\dfrac{-512}{729}}[/tex]
It can be rewritten as
[tex]=\sqrt[3]{\dfrac{(-8)\times (-8) \times (-8)}{9\times 9\times 9}}[/tex]
[tex]=\sqrt[3]{\dfrac{(-8)^3}{9^3}}[/tex] [tex][\because a^ma^n=a^{m+n}][/tex]
[tex]=\sqrt[3]{\left(\dfrac{-8}{9}\right)^3}[/tex] [tex][\because \dfrac{a^m}{b^m}=\left(\dfrac{a}{b}\right)^m][/tex]
[tex]=\dfrac{-8}{9}[/tex] [tex][\because \sqrt[n]{x^n}=x][/tex]
The value of given expression is [tex]\dfrac{-8}{9}[/tex].
Therefore, the correct option is b.
A cake was sliced into 8 parts. If each of these kids gets a slice of cake, what part of the cake will be left? Will the remaining cake be enough if there will be 5 more kids coming?
Step-by-step explanation:
Hello can you please give the amount of kids first?
HELPPP
Ali and Jake went on a cross-country
trip. They took a train part of the way,
and took a bus the rest of the way. They
traveled a total of 1100 kilometers,
riding on the train 350 more kilometers
than on the bus.
Let x = kilometers traveled by bus. Let
y = kilometers traveled by train.
Answer:
so what are we trying to figure out?
Step-by-step explanation:
An airplane ascended into the sky to a steady altitude of 35000 feet. The same plane descended to a steady altitude of 32000 feet. How many feet did the airplane descend
Answer:
3000 feets
Step-by-step explanation:
Given that :
Initial Ascent to steady altitude = 35,000 feets
Descent to steady altitude = 32,000 feets
Number of feets the plane descend :
(Initial ascent to steady altitude - descent to steady altitude)
(35000 - 32000) feets = 3,000 feets
Simply please will give brainlist to first correct answer
use the number line to find the absolue value of 7 (A -7, (B 0, (C 7, (D 14
Answer:
Can you put a number line in the picture?
Step-by-step explanation:
That would really help
Answer:
I think its C but without the number line a cant tell.
Step-by-step explanation:
Tommy earned $5 mowing the lawn on Saturday. He earned more money on Sunday. Write an equation that shows the amount of money Tom has earned
Answer:
f(x)=2x+5
Step-by-step explanation:
If you think about it, 5 is the y intercept, meaning the money he earn that day. While Sunday, he earned more which is the Slope of 2x because its 2 times the number. And you add them together, and there you go.
7x ( 3 x 4) = ( 7 x 3) x4
what property
Commutative
Identity
Associative
Distributive
i’ll give the brain thing
If bricks are each 3 inches × 4 inches × 8 inches, how many bricks can be fit into a space which is 1 foot × 4 feet × 8 feet?
A 1 to 250
B 251 to 500
C 501 to 750
D 751 to 1000
E >1000
Answer:
The correct option is B.
Step-by-step explanation:
Consider the provided information.
The dimensions of bricks are in inches so convert foot into inches.
1 foot = 12 in
4 feet = 48 in
8 feet = 96 in
To calculate the number of bricks that fit into space we divide the space's volume by the volume of 1 brick.
[tex]\text{Number of bricks in space}=\dfrac{12\times 48 \times96}{3\times 4 \times8}[/tex]
[tex]\text{Number of bricks in space}=576[/tex]
Hence, 576 bricks can be fit into a space.
Therefore the correct option is B.
Couch and coffee table cost a total of $996. The cost of the couch is two times the cost of the coffee table find the cost of each item.
Answer:500
Step-by-step explanation:
is a hotdog a taco or a sandwitch?
Answer:
Step-by-step explanation:
None of them
Ehich of thr following expressions has a Simplified value of 3A -2?
You had a goal to collect 150 cans for a food drive. You were able to collect 90 cans. What percent of your goal did you collect?
Answer:
60 %
Step-by-step explanation:
multiply .90 * 150
Answer:
60%
Step-by-step explanation:
hope this helps <3
Howie works at a petting zoo. He fed a piglet 1/5 of a bottle of milk then gave 3/4 of what was left to the calf. How much of the bottle of milk did the calf drink
Answer:
[tex]\frac{3}{5}[/tex]th part of the bottle will be drunk by the calf.
Step-by-step explanation:
Part of the bottle fed by the piglet = [tex]\frac{1}{5}[/tex]
Milk left in the bottle = 1 - [tex]\frac{1}{5}[/tex]
= [tex]\frac{5-1}{5}[/tex]
= [tex]\frac{4}{5}[/tex]
Milk drunk by the calf = [tex]\frac{3}{4}[/tex]th of the left part
= [tex]\frac{3}{4}\times \frac{4}{5}[/tex]
= [tex]\frac{3}{5}[/tex]th part of the bottle
Therefore, [tex]\frac{3}{5}[/tex]th part of the bottle will be drunk by the calf.
One report said that it rained 3 inches in two days. It actually rained 1.05 inches and 1.8 inches. How far off was the report? Explain your answer.
Answer:
Step-by-step explanation:
1.80 + 1.05 = 2.85
3.00 - 2.85 = .15 inches
Could someone help me solve this problem?
Answer: 18 students would like to learn Spanish
Step-by-step explanation:
What is the equation of the line that passes through the point (1, 3) and is perpendicular to the line 2x+3y=15?
The equation of the line that passes through the point(1, 3) and is perpendicular to the line 2x + 3y = 15 is y = 3 / 2x + 3 / 2.
How to find the equation of a line perpendicular to another?The line passing through (1, 3) is perpendicular to the equation 2x+3y=15.
Therefore,
y = mx + b
where
m = slopeb = y-interceptHence,
3y = -2x + 15
y = -2 / 3 x + 5
For line to be perpendicular it must follow the following rules;
m₁m₂ = -1
m₁(-2 / 3) = -1
-2m₁ = -3
m₁ = 3 / 2
Therefore, the equation can be found as follows:
3 = 3 / 2(1) + b
3 = 3 / 2 + b
b = 3 - 3 / 2
b = 6 - 3 / 2
b = 3 / 2
Hence,
y = 3 / 2x + 3 / 2
learn more on equation of a line here: https://brainly.com/question/21511618
#SPJ2
For fx), evaluate the following:
a. (0)
b. (6)
Answer:
a. f(0) = 4
b. f(6) = 8
Step-by-step explanation:
Let us solve the question
∵ f(x) = x + 4 if x < 5 ⇒ First part
→ That means if x less then 5 we will use this part of f(x)
∵ f(x) = 8 if 5 ≤ x < 7 ⇒ Second part
→ That means if x = 5 or greater than 5 and less than 7, we will use
this part of f(x)
∵ f(x) = 2x - 1 if 7 ≤ x ≤ 10 ⇒ Third part
→ That means if x equal 7 or greater than 7 and less than 10 or equal 10,
we will use this part of f(x)
a. The value of f(0)
∵ x = 0
∵ 0 < 5
→ That means we will use the first part of f(x)
∵ f(x) = x + 4
∴ f(0) = 0 + 4
∴ f(0) = 4
b. The value of f(6)
∵ x = 6
∵ 6 is between 5 and 7
→ That means we will use the second part of f(x)
∵ f(x) = 8
→ It means the value of f(x) is 8 for any values of x from 5 to less than 7
∴ f(6) = 8
pls help. i have to write it in exponential form
X × X - X × X × X × X × X + 17= X × X × X + 2
Can u pls help me with this question
Y varies with x. When y=39, x=3. Find the value of y when x=2
Answer:
[tex] \frac{39}{y} = \frac{3}{2} \\ y = \frac{39 \times 2}{3} \\ \boxed{y = 26}[/tex]
26 is the right answer.Decimal or fraction form round all the way!
Answer:
The answer to the question provided is
[tex] \frac{1}{4} [/tex]