Answer:
[tex]C = 1000S + 500B[/tex]
Step-by-step explanation:
Given
[tex]S = Banana\ Splits[/tex]
[tex]B=Bacon\ Rolls[/tex]
Reading through the question, we have:
Number of calories per serving:
[tex]S \to 1000[/tex]
[tex]B \to 500[/tex]
Let
[tex]x = Cholesterol[/tex]
[tex]y =Sugar[/tex]
So, we have:
Each serving of S
[tex]x \to 1S[/tex]
[tex]y \to 3S[/tex]
Each serving of B
[tex]x \to 4B[/tex]
[tex]y \to 1B[/tex]
Recommendation
[tex]x \to \le 10[/tex] - i.e. not more than 10 units of cholesterol
[tex]y \to \ge 2 \& \le 9[/tex] i.e. At least 2units but not more than 9 units of sugar
So, the constraints are:
[tex]S + 4B \le 10[/tex]
[tex]3S + B \ge 2[/tex]
[tex]3S + B \le 9[/tex]
Recall that the calories per serving is:
[tex]S \to 1000[/tex]
[tex]B \to 500[/tex]
Hence, the objective function is:
[tex]C = 1000S + 500B[/tex]
Please help me out give brainly
Find the area of the trapezoid.
Answer:
78 ft squared
Step-by-step explanation:
To find the area of trapezoid, we could use this formula:
.5*height*(sum of bases)
We know both the base lengths. They are 10 and 16 ft.
The height can be found by looking at that right triangle whose base is (16-10) ft or 6 ft.
So we want to find the height which is opposite the 45 degree angle and we have the adjacent side's measurement of 6ft.
This has the tangent ratio written all over it since tangent of an angle is opposite side's measurement over adjacent side's measurement.
tan(45)=height/6
1=height/6
6=height
6ft=height
The answer is:
.5*height*(sum of bases)
.5*6 ft*(10 ft+16 ft)
3 ft(26 ft)
78 ft squared
Note: That one right triangle is an isosceles right triangle so we didn't need trigonometry.
Last year the schools newspaper so if full page ad for $16.50 each of H half page is $9.60 each day school they plan to increase the cost of 8 x 50% which expressions represent the total amount the school newspaper will earn from selling the same number of four and half page ad this year
Question isn't well formatted, however. From what can be gathered form the question :
Options are given
Answer:
4(1.5 * 16.50) + (1.5 * 9.60)
$113.40
Step-by-step explanation:
Last year:
Cost of full page ad = $16.50
Cost of half page ad = $9.60
50% increase in ad price this year :
Price, this year :
Full page = 1.50 * 16. 50 = $24.75
Half page = 1.50 * $9.60 = $14.4
Expression :
4(1.5 * 16.50) + (1.5 * 9.60)
Cost of a 4 and 1/2 page ad :
Full page = 4 * $24.75 = $99
Half page = 1 * $14.4 = $14.40
Total cost = $(99 + 14.40) = $113.40
Please help me as soon as possible; your help is highly appreciated .The topic is Probability. I will give 5 stars rating to whoever helps me first ,and correctly does so.
Erica babysits for 4 1/2 hours and is paid $27 . If the people she babysits for have $31.50 to pay her, how long can they stay out?
Answer:
5.25 hours or 5 1/4 hours
Step-by-step explanation:
According to the scenario, calculation of given data are as follows,
Total time = 4 1/2 hours or 270 mins
Total payment = $27
First we calculate the time for $1, then
So, $27 = 270 mins
$1 = 270 ÷ 27 = 10 mins
Now, we can calculate total time in $31.50 by using following formula,
Total time in $31.50 = 10 mins × 31.50
= 315 mins
= 5.25 hours or 5 1/4 hours
Find the area of the given triangle.
While on an 8.0 h trip, a car traveled for 3.5 h at an average speed of 90 km/h before stopping for 1.0 h. The car then traveled for 2.0 h at an average speed of 80.0 km/h For the last 1.5 h, the car traveled at an average speed of only 70.0 km/h. What was the average speed of the car for the entire 8.0 h trip?
Answer:
72.5 km/h
Step-by-step explanation:
Multiply the km/h by how many hours your going at that speed/total number of hours on trip.
(90x(3.5/8))+(80x(2/8))+(70x(1.5/8))
39.375+20.5+13.125
72.5km/h
HELP! I HAVE NO IDEA HOW TO DO IT <3
Answer:
TY
Step-by-step explanation:
Nice
Thanks for the free Poi nts!
A number divided by six is 7
It is Marcie's first turn to roll. Which ratio shows the theoretical probability that she will not land on a star space? 1/6 1/3 1/2 2/3
Answer:
[tex]P(Not\ Star) =\frac{2}{3}[/tex]
Step-by-step explanation:
Given
See attachment
Required
Theoretical probability that a roll will not land on a star
From the attachment, we have:
[tex]n = 12[/tex] --- Total space
[tex]Star = 4[/tex]
So, the theoretical probability that a roll will land on a star is:
[tex]P(Star) = \frac{n(Star)}{n}[/tex]
[tex]P(Star) = \frac{4}{12}[/tex]
[tex]P(Star) = \frac{1}{3}[/tex]
Using the complement rule, the probability that it will not land on a star is:
[tex]P(Not\ Star) = 1 - P(Star)[/tex]
[tex]P(Not\ Star) = 1 - \frac{1}{3}[/tex]
Take LCM
[tex]P(Not\ Star) =\frac{3-1}{3}[/tex]
[tex]P(Not\ Star) =\frac{2}{3}[/tex]
Answer:
Look at the photo below
Step-by-step explanation:
How to solve (7.1 × 10−5)(6.7 × 10−6)??
Please help by giving step-by-step explanations.
Popular Problems Algebra Evaluate Using Scientific Notation (7.1*10^-5)(6.7*10^-6)
(
7.1
⋅
10
−
5
)
(
6.7
⋅
10
−
6
)
Group coefficients together and exponents together to multiply numbers in scientific notation.
(
7.1
⋅
6.7
)
(
10
−
5
⋅
10
−
6
)
Multiply
7.1
by
6.7
.
47.57
(
10
−
5
⋅
10
−
6
)
Use the power rule
a
m
a
n
=
a
m
+
n
to combine exponents.
47.57
⋅
10
−
5
−
6
Subtract
6
from
−
5
.
47.57
⋅
10
−
11
Write
47.57
⋅
10
−
11
in proper scientific notation.
4.757
⋅
10
−
10
Answer:
4026
Step-by-step explanation:
Remember PEMDAS:
P - parenthesis
E - exponents
MD - Multiplication and Division (Left to Right)
AS - Addition and Subtraction (Left to Right)
------------------------
Start off by doing the parenthesis (7.1 x 10-5)
We must perform multiplication first so 7.1 x 10 is 71. From there you subtract 5 so 71 - 5 is 66!
So far we have: 66(6.7 x 10-6)
But we aren't done yet!
You must solve (6.7 x 10-6)
Same goes here, multiplication is done first so we would do 6.7 x 10 which is 67. Next, 67-6 which is 61.
We now have (66)(61)
When there is no sign of multiplication or division and the numbers are next to each other like this, you perform multiplication. So, 66x61 is 4026.
Thus, the answer is 4026!
P.S please mark brainiest, this took time <3
WILL MARK BRAINLIEST!!
Find the values of x and y
Answer:
Y = 5.8
X = 2.887
Step-by-step explanation:
to get X
[tex] \tan( 30 ) = \: \frac{x}{5} \\ x = \tan(30) \times 5 \\ x = 2.887[/tex]to get Y
using pythagoras theorem [tex] {y}^{2} = {2.88}^{2} + {5}^{2} \\ \\ {y}^{2} = 8.33 + 25 \\ \\ y = \sqrt{33.33} \\ y = 5.8[/tex]Answer:
y - 5.8
x - 2.887
pleasee mark Brainliest
Using the x-values 3, 5, 8, which of the T-tables represents the ordered pairs solving y = 3.5x - 2?
Answer: you are given the equation 3.5x - 2 so you will plug in your x-values (3,5,8)
Step-by-step explanation:
1. 3.5(3)-2
2. 3.5(5)-2= 15.5.
3. 3.5(8)-2 =26
~This is your table ~
X-3 Y-8.5
X-5 Y-15.5
X-8 Y-26
I tried to explain it on here. Good luck !!
What is the circumference and area of a circle with a radius of 16 QUICK
What is the decimal equivalent of Two-sixths?
0.3
0.3
0.6
0.6
A baseball bat that originally sold for $65 is on sale at a 15% discount. Which single gift card amount would cover the complete cost of the discounted bat? Select all that apply.
A
$10
B
$15
C
$50
D
$60
E
$80
Answer:
A
$10
Step-by-step explanation:
15% of $65 is 9.75
so $10 would cover the given amount
We want to see which card can cover completely the cost of a bat after a discount is applied. We will see that the correct options are:
D and E.
The baseball bat is originally sold for $65.
It has a discount of a 15%, then the new price is given by:
P = $65*(1 - 15%/100%) = $65*(1 - 0.15) = $65*0.85 = $55.25
So the gift cards that cover the whole cost of the discounted bat are these ones with a value equal or larger than $55.25
The correct options are:
D: $60
E: $80
With these two you could pay the complete cost of the discounted bat.
If you want to learn more, you can read:
https://brainly.com/question/2730006
find the solution of given expression,
[tex] \sqrt{216 \times 6} [/tex]
Answer:
Solution given
:[tex] \sqrt{216 \times 6} [/tex]=[tex] \sqrt{36²} [/tex]=±36 is your answer
You go completely unprepared for a multiple choice quiz. The quiz has five questions, each with four answer choices. Describe a simulation that you could use to determine the experimental probability of guessing all five questions correctly.
Answer: I feel d.u.m.b. when there's a genius here
Most likely your gonna fail
Average 50-75 range
Step-by-step explanation:
Mostly luck in this percentage thou
Thats common sense
Answer:
Step-by-step explanation:
Computer languages love this kind of question. You could run it a million times and the computer would bring back an answer in under 10 seconds.
Let us suppose that 4 is the correct answer for all 5 questions.
Run the simulation 1000000 times. There is only 1 answer that is acceptable
select a random number from 1 to 4
do this 5 times
If all five random numbers are 4 then add 1 to counter which keeps track of the number of times 4 was chosen 5 times (it will be pretty small).
End by displaying the number of times 4 was chosen 5 times
Divide by 1 million.
In running the simulation, I described using Delphi it ran the simulation in under 1 second. That is, took the test 1 million times.
I'm going to save this answer and if I can edit the question I'll tell you what I got. If not, I suppose I could put it in a comment.
The experimental answer I got was 993 which is awfully close to 1/1000 which is approximately the theoretical answer. So my simulation that I described will work really well.
The theoretical answer is
1/4 * 1/4 * 1/4 * 1/4 *1/4 = 1 / 1024 So actually 1/1000 (which my simulation nearly got) is really kind of close.
There are other ways of doing this simulation.
Can someone helpp I’m taking a test?
The distance between the school and the house of a student living in a village is 2km 125m. Every day he covers the distance both ways by walking. Find the total distance covered by him in 4 days.
Answer:
17,000m
or 7 km
Step-by-step explanation:
distance covered in 4 days = total distance x 2 x 4 days
convert the total distance to meters
(1000m x 2) + 125 = 2125m
total distance = 2125 x 2 x 4 = 17,000m or 7km
Hello! I need a bit of help with this problem.
Answer:
I'm pretty sure it's 15 for orange and 30 for blue
Solve for x. Round your answer to the nearest whole degree.
I’ll give brainliest
Answer:
33°
Step-by-step explanation:
cos(x) = 21/25
[tex]cos^{-1}(21/25)[/tex] ≈ 32.86°
to the nearest whole number, that would be ≈ 33°
Find the circumference
Answer:
C=2πr
C=2π(1.9) cm
C=11.94 cm
Step-by-step explanation:
radius of a circle (r)=1.9 cm
Circumference of a circle (C)=?
We know that,
C=2πr
C=2π(1.9) cm
C=11.94 cm
So, the circumference of the circle is 11.94 cm.
6).
24 eggs are needed to make omelets for 8 people, how many eggs
are needed to make an omelets for 6 people?
Answer:
18 eggs
Step-by-step explanation:
first we divide 24 by 8 to see how many eggs are in one omlete
24/8=3
Now we take 3 times 6 ( because there is 6 people you are making it for)
6x3=18
18 eggs
If you need more help I would love to help!
Answer:
18 eggs
Step-by-step explanation:
1: x/24=6/8
2: 24*6=144-(1st step for cross multiplication)
3: 144/8=18-(2nd step for cross multiplication)
4: 18 eggs-(final answer)
Cross multiplication: Write your 2(or more) equivilent fractions, and write your variable as x or any other letter. If your variable is in the numerator, take the denominator and multiply it with the other fraction's numerator and divide your answer with the denominator of the other fraction. If x is in the denominator, switch your variable with the other fractions numerator and solve the same way you would if the variable was in the numerator-(sorry if I made it to complex, but the idea is really simple:)
A line has a slope of Negative one-half and a y-intercept of –2.
A coordinate plane.
What is the x-intercept of the line?
–4
–1
1
4
Answer:
A
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
The answer is 1, you need to do the Math correctly.
There are 144 square inches in 1 square foot. How many square inches are in 2.5 square feet?
Answer:
360 square inches
Step-by-step explanation:
There are 360 square inches in 2.5 square feet.
To find out how many square inches are in 2.5 square feet, we need to multiply the number of square feet by the conversion factor.
Given that there are 144 square inches in 1 square foot, we can set up a proportion to solve for the number of square inches in 2.5 square feet:
1 square foot = 144 square inches
2.5 square feet = x square inches
Setting up the proportion:
1 square foot / 144 square inches = 2.5 square feet / x square inches
Cross-multiplying the proportions:
(1 square foot) x square inches = 144 square inches (2.5 square feet)
Simplifying the equation:
x square inches = 144 square inches (2.5 square feet)
Multiplying the values:
x square inches = 360 square inches
Therefore, there are 360 square inches in 2.5 square feet.
To learn more about multiplication;
https://brainly.com/question/19634536
#SPJ6
yeah its me again you are smart im not and this assignment is due in literally 5 mins i need yalls help please ;-;
Answer:
x = 2
Step-by-step explanation:
5 ÷ 2 1/2 =
5 x 2/5 = 10/5 = 2
Answer:
I think it is 2
Step-by-step explanation:
5 ÷ 2 1/2 =2
finish solving for x
NO LINKS OR I WILL REPORT
Answer:
x=10 y=20
Step-by-step explanation:
point 1 and -2 lies in the dash quadrant
Given:
The point is (1,-2).
To find:
The quadrant in which the point (1,-2) lies.
Solution:
We know that,
In first quadrant, both coordinates are positive, i.e., (x,y).
In second quadrant, x coordinate is negative but the y-coordinate is positive, i.e., (-x,y).
In third quadrant, both coordinates are negative, i.e., (-x,-y).
In fourth quadrant, x coordinate is positive but the y-coordinate is negative, i.e., (x,-y).
Where, x and y are two non-negative values.
In the given point (1,-2) the x coordinate is positive but the y-coordinate is negative.
Therefore, the point (1,-2) lies in fourth quadrant.
[tex] \bigstar \: \underline{ \underline{ \tt{Question}}} : [/tex] In the given figure , M and N are the centres of two intersecting circles. Prove that :
i. PQ [tex] \perp[/tex] MN
ii. PR = RQ
~Thanks in advance! <3
Answer:
See Below.
Step-by-step explanation:
We are given two intersecting circles with centers M and N.
And we want to prove that: I) PQ ⊥ MN and that II) PR = RQ.
Since MP and MQ are radii of the same circle:
[tex]MP\cong MQ[/tex]
Likewise, since NP and NQ are radii of the same circle:
[tex]NP\cong NQ[/tex]
And by the Reflexive Property:
[tex]PQ\cong PQ[/tex]
Therefore, by SSS Congruence:
[tex]\Delta MPN\cong \Delta MQN[/tex]
By CPCTC:
[tex]\displaystyle \angle PMN\cong \angle QMN[/tex]
And by the Reflexive Property:
[tex]MR\cong MR[/tex]
And since they are the radii of the same circle:
[tex]MP\cong MQ[/tex]
Therefore, by SAS Congruence:
[tex]\Delta MPR\cong \Delta MQR[/tex]
Therefore, by CPCTC:
[tex]PR\cong RQ[/tex]
Note that PQ is a chord in Circle M.
Therefore:
[tex]\text{Segment $MN$ bisects chord $PQ$}[/tex]
In a circle, a segment that passes through the center of the circle that is perpendicular to a chord also bisects the chord.
And conversely, a segment that passes through the center of a circle that bisects a chord in the circle is also perpendicular to the chord.
So:
[tex]\displaystyle PQ\perp MN[/tex]
Answer:
Step-by-step explanation:
First step is to prove triangle MPN ad MQN are congruent.
MP=MQ, radius of circle M
NP=NQ, radius of circle N
we have two S in SAS and for A, we need to prove angle MPN = MQN
consider triangle QMP, it is isosceles so angle MPQ = MQP
consider triangle QNP; it is isosceles so angle QPN = PQN
combining the two above
angle MPN = MPQ+QPN = MQP+PQN = MQN
By SAS, triangle MPN and MQN are congruent
By symmetry, MN is perpendicular to PQ
It also disects PQ so PR = RQ