Answer:
a. [tex]C(25) = 146.25[/tex]
b. [tex]C(100) = 165[/tex]
c. [tex]x = 187[/tex]
d. Increment in number of uniform causes an increment in price
Step-by-step explanation:
Given
[tex]C(x) = 140 + 0.25x[/tex]
Solving (a)
[tex]x = 25[/tex]
This gives:
[tex]C(x) = 140 + 0.25x[/tex]
[tex]C(25) = 140 + 0.25 * 25[/tex]
[tex]C(25) = 140 + 6.25[/tex]
[tex]C(25) = 146.25[/tex]
Solving (b):
[tex]x = 100[/tex]
This gives:
[tex]C(x) = 140 + 0.25x[/tex]
[tex]C(100) = 140 + 0.25 * 100[/tex]
[tex]C(100) = 140 + 25[/tex]
[tex]C(100) = 165[/tex]
Solving (c):
Average cost = $1 per logo
For x logos,
Average cost = $1 * x
Average cost = $x
So, we have:
[tex]C(x) = 140 + 0.25x[/tex]
[tex]x = 140 + 0.25x[/tex]
Collect Like Terms
[tex]x - 0.25x = 140[/tex]
[tex]0.75x = 140[/tex]
Solve for x
[tex]x = 140/0.75[/tex]
[tex]x = 187[/tex] ---- Approximated
Solving (d): What happens when number uniform increases.
Notice that in (a) & (b).
x increases from 25 to 100
Price also increases from $146.25 to $165.
Hence:
Increment in number of uniform causes an increment in price
explain the relationship between a strategy such as number sense and a written method such as partial products or area models for multiplying decimal numbers
The relationship between strategy and written method in mathematics is that;
Strategies can be changed or modified whereas written methods cannot be changed or modified because they have standards upon which such methods are based.
In mathematics, strategies are defined as the different ways in which a problem can be approached. For example;A student wants to perform addition of 19 and 46.
He could add the number straight away by doing 19 + 46 = 65or he can
take away 1 from 46 to become 45 and add that 1 to 19 to become 20 and
then sum 45 and 20 together as 20 + 45 = 65.
So we can see that the two strategies used to add 19 and 46 gave the same result.
In contrast, when dealing with written methods like partial products one cannot use any other method apart from that stated in the written method.For example, we want to use partial products to multiply 13 x 52.
The solution would become (10 × 50) + (10 × 2) + (3 × 50) + (3 × 2) = 676.
In this method, there cannot be another way used as the standard for using partial products is written and fixed.
Read more at; https://brainly.com/question/18884089
A rectangular poster is 5 dm long and 3 dm wide. Sara wants to paint the whole poster. Find the area of the poster in square cm.
Answer:
[tex]\boxed{1500cm^{2} }[/tex]
Step-by-step explanation:
Area = Length × Width
→ Identify the length and width
Length = 5 and Width = 3
→ Substitute in the values
Area = 5 dm × 3 dm
→ Convert into cm
Area = 50 cm × 30 cm
→ Simplify
1500 cm²
HELP ME PLS ITS DUE TODAY :((
Answer:
3 8
18 48
22.5 60
27 72
Step-by-step explanation:
3:8 ratio
18/3=6
8*6=48
Answer:
48
60
72
Step-by-step explanation:
1. Find the number of times x or the first column numbers are multiplied to get y or the second column numbers.
2. Equation: 3*?=8, ? = 8/3
3. Multiply all of the other numbers by 8/3 to get the answers.
4. 3*8/3=8, 18*8/3=48, 22.5*8/3=60, 27*8/3=72.
Answers: 48, 60, 72
Find the equation of the line in slope-intercept form. f Slope is 2/3 through (3, 4)
Answer:
y=2/3x+2
Step-by-step explanation:
Bill and Jerry are both taking their hot-air balloons to the balloon show.
They are good friends and like to share experiences. The especially like that when
they get to fly their balloons next to each other. Unfortunately they did not get
cleared to depart at the same time. Bill got to go up first and had already started
to descend by the time that Jerry was cleared. Five seconds before Jerry takes
off Bill’s balloon basket was 1032 feet above the ground falling at a constant rate.
Five seconds after Jerry takes off Bill’s basket was 985 feet above the ground
and Jerry’s balloon basket was 57 feet off the ground and rising at the same
constant rate the whole time. To the nearest tenth of a second, how long after
Jerry’s balloon took off will the height of the two balloon baskets be the same
height?
9514 1404 393
Answer:
62.6 seconds
Step-by-step explanation:
We can use the 2-point form of the equation for a line to write equations for the heights of the balloons.
y = (y2 -y1)/(x2 -x1)(x -x1) +y1
__
For Bill's balloon, the two given points are ...
(t, h) = (-5, 1032) and (5, 985)
Then the equation is ...
h = (985 -1032)/(5 -(-5))(t -(-5)) +1032
h = -47/10(t +5) +1032
__
For Jerry's balloon, the two given points are ...
(t, h) = (0, 0) and (5, 57)
Then the equation is ...
h = (57-0)/(5-0)(t -0) +0
h = (57/5)t
__
The heights are equal when ...
-47/10(t +5) +1032 = (57/5)t
1008.5 = t(57/5 +47/10) = 16.1t
Then the time until heights are the same is ...
t = 1008.5/16.1 ≈ 62.6 . . . seconds
please view the picture
Answer:
see below
Step-by-step explanation:
3x+9y = 27.9
To find the x intercept , let y=0
3x +0 = 27.9
Divide each side by 3
3x/3 = 27.9/3
x = 9.3
The x intercept is 9.3
To find the y intercept , let x=0
0+9y = 27.9
Divide each side by p
9y/9= 27.9/9
y = 3.1
The y intercept is 3.1
BRAINLIEST Multiply each side by the common denominator
Answer:
c. x² + 2x -5 = 0
Step-by-step explanation:
Given expression;
[tex]\frac{5}{x}[/tex] = [tex]\frac{x + 2}{3}[/tex]
Unknown:
The quadratic equation equivalent to this expression:
Solution:
The common denominator here is 3x;
So, multiply both sides by 3x
[tex]\frac{5}{x}[/tex] x 3x = [tex]\frac{x + 2}{3} x[/tex] 3x
5 x 3 = (x + 2)x
15 = x² + 2x
So;
x² + 2x - 15
The quadratic expression is x² + 2x - 15
what is (2 cubed) to the fourth power
Answer: 4096
Step-by-step explanation: 2^3=8, 8^4=4096.
Answer:
4096
Step-by-step explanation:
2 cubed=8
8^4=4096
Please look at the pic and help it got marked wrong
Answer:
although it is true that could be -(1/4)^4
if you multiply the answer can also be -1/256
Heya!!
your answer is!
-1/256
plz help im having a very hard time answering these questions
i will mark u as brainliest
STEP BY STEP EXPLANATION:
drops
-12.5 - (-4.8) What is the value of the expression?
can somebody PLZ HELP ME ASAP!!
Answer:
34 days 4 hours and 40 minutes
Step-by-step explanation:
First convert 3,962km to miles.
There are 1.609km in 1 mile so:
3,962km/1.609km = 2461.87 miles ≈ 2,462mi
If your walking speed is 3mph then divide the distance by 3.
2462/3 = 820.67hours.
Let's figure out the number of days, hours, minutes.
820.67hr/24 = 34.1944 days since we have a fraction of a day, let's figure out hours.
.1944 x 24 = 4.6666 So 4 hours and some minutes, let's figure out the minutes.
.66666 x 60 = 40
At 3mph it will take you 34 days 4 hours and 40 minutes to walk from New York to Los Angeles if you take no breaks and don't sleep.
what is 2/16 as a decimal
Please help ASAP! All questions.
Answer:
I think i don't really know its been awhile for me.
Step-by-step explanation:
But i think you do 2 x 10 and what ever you get from that you multiply by 5 and what get from that you divide by 24.
I may not be right.
So please don't hate i tried.
SOMEBODY HELP !!!!!!!
Answer:
i got
[tex] - \frac{11}{12} [/tex]
I do not know if I'm right please tell me me if I'm wrong
A pitchers earned-run average E varies directly as the number R of earned runs allowed and inversely as the number of I innings pitched. A certain pitcher had an earned-run average of 2.92, giving up 85 earned runs in 262 innings. How many earned runs would the pitcher have given up having pitched 311 innings with the same average?
9514 1404 393
Answer:
101 runs
Step-by-step explanation:
The given relation is ...
E = kR/I
The value of k can be found from the given numbers.
2.92 = k(85/262)
k = 2.92(262/85) = 9
__
Solving the above equation for R, we get ...
R = E·I/9 = (2.92)(311)/9 = 100.9 ≈ 101
The pitcher would have given up 101 earned runs in 311 innings.
Round to the nearest whole number 7.6
Answer:
8
Step-by-step explanation:
You would round because 7.6 is over half
Which of the pairs of events below is mutually exclusive?
Select the correct answer below:
drawing an ace of spades and then drawing another ace of spades without replacement from a standard deck of cards
drawing a 2 and drawing a 4 with replacement from a standard deck of cards
drawing a heart and then drawing a spade without replacement from a standard deck of cards
drawing a jack and then drawing a 7 without replacement from a standard deck of cards
Answer:
Drawing an ace of spades and then drawing another ace of spades without replacement from a standard deck of cards.
Step-by-step explanation:
Given four pair of events:
1. Drawing an ace of spades and then drawing another ace of spades without replacement from a standard deck of cards
2. Drawing a 2 and drawing a 4 with replacement from a standard deck of cards
3. Drawing a heart and then drawing a spade without replacement from a standard deck of cards
4. Drawing a jack and then drawing a 7 without replacement from a standard deck of cards
To find:
Which of the pairs is mutually exclusive?
Solution:
First of all, let us have a look at the definition of mutually exclusive events.
Mutually exclusive events do not have any case in common.
In other words, two events are known as mutually exclusive when both the events can not occur at the same time.
Now, let us have a look at the given options one by one:
1. Drawing an ace of spades and then drawing another ace of spades without replacement from a standard deck of cards.
We know that there is only one ace of spades in a standard deck.
Therefore, the two events can not occur one after the other, so these are mutually exclusive events.
2. Drawing a 2 and drawing a 4 with replacement from a standard deck of cards.
The two events can occur one after the other, so these are not mutually exclusive.
3. Drawing a heart and then drawing a spade without replacement from a standard deck of cards.
Separate cards are drawn one after the other, so not mutually exclusive.
4. Drawing a jack and then drawing a 7 without replacement from a standard deck of cards.
Separate cards are drawn one after the other, so not mutually exclusive.
let f(x) = 2x - 1, g(x) = x²- 2 x+ 1. find (f• g ) (x)
Answer:
f•g(x) = f(x)•g(x)
f•g(x) = (2x-1) (x²-2x+1)
= 2x³-4x²+2x-x²+2x-1
= 2x³-5x²+4x-1
2. If Mrs. Esposito drove 585 miles to North Carolina in 9 hours, what speed was she driving? (miles per hour) a. 55 mph b. 60 mph c. 58.5mph d. 65mph
Your answer is 65
Step-by-step explanation:
You need to divide 585 by 9 the answer is 65
3(2x + 1) – (4x + 2)
How do i siplify this
Answer:
= 2x + 1
Step-by-step explanation:
is this a keep, change, change?
-9-8
Answer:
umm i think so
Step-by-step explanation:
ryans tennis club Membership Which is 11$ is deducted each month which expression shows the total deductions for the year?
Answer:
(-$11)x12
Step-by-step explanation:
hope this helps if its right can i get brainliest
Monica works at a local bike shop. On Friday, she sold 5 mountain bikes and 10 road bikes. On Saturday, she sold 9 mountain bikes and 15 road bikes. Did Monica sell the same ratio of mountain bikes to road bikes on both days?
Answer:
they aren't the same ratio
Step-by-step explanation:
ratio of 5:10 then 9:15
5/10 and 9/15
and that is simplified
2.5/5 and 3/5 so they aren't the same ratio
The Jackson family went to eat at Applebees. Their bill came to $32.89. They gave the waiter a 15% tip. What was the total amount they paid for their bill?
$32.89
15% tip
Is $4.94
Making the total of the bill
$37.83
Find the equation of a line parallel to −2x+2y=6 that contains the point (3,−5). Write the equation in slope-intercept form.
| 1) A penny made in 1982 weighs about 0.11 ounce. A
penny made in 2013 weighs about 0.09 ounce. Which
penny weighs more? Solve this problem any way you
choose.
Answer:
Weight in 1982
Step-by-step explanation:
Given parameters:
Weight of penny in 1982 = 0.11 ounce
Weight of penny in 2013 = 0.09 ounce
Unknown:
Which penny weighs more = ?
Solution:
Simply, we are looking for which number is higher,
0.11 or 0.09
Let us find the differences;
if x is greater than y then, x - y must be positive
If 0.11 is greater then 0.09, then 0.11 - 0.09 must be positive
= 0.02, it is positive
The weight of a penny in 1982 is greater than that in 2013
Find the cardinal number of the set:
{2,4,6,...,18}
Answer:
9
Step-by-step explanation:
The cardinality of a set - the number of terms in that set.
in the set {2, 4, 6, ... 18}
We can assume that the numbers follow a pattern: in this case, the pattern is multiples of 2 till 18 starting with 2.
so that means that the full set is
{2, 4, 6, 8, 10, 12, 14, 16, 18}
There are 9 numbers in that set;
so the cardinality of the set is 9
PLZ HURRY IT'S URGENT!!
What is the y-intercept of the line?
y=2/3x+4
options:
0
1
2/3
4
Answer:
4
Step-by-step explanation:
y intercept is always the value without a coeffiecent
Answer:
ITS 4
Step-by-step explanation:
2 points 5. What property is used to get from Step 1 to Step 2? * Step 1 : 28x + 10 = 66 Step 2: 28x = 56
Answer: subtraction property of equality
Step-by-step explanation: