Answer:
90 Pomegranate and 55 iZac
Step-by-step explanation:
Represent Pomegranate with p and iZac with i
The data can be represented in the following table.
[tex]\begin{array}{cccc}{} & {Pomegranate} & {iZac} & {Total} & {Memory} & {400} & {300} & {52500} & {Disk\ Space} & {80} & {100} & {12700} \ \end{array}[/tex]
The table can be represented as follows:
[tex]400p + 300i = 52500[/tex] --- (1)
[tex]80p + 100i = 12700[/tex] ---- (2)
Multiply equation (2) by 3
[tex]3 *\ ([/tex][tex]80p + 100i = 12700[/tex][tex])[/tex]
[tex]240p + 300i = 38100[/tex] ---- (3)
Subtract (3) from (1)
[tex]400p - 240p + 300i - 300i = 52500 - 38100[/tex]
[tex]160p = 14400[/tex]
Divide both sides by 160
[tex]p = 90[/tex]
Substitute [tex]p = 90[/tex] in (2)
[tex]80p + 100i = 12700[/tex]
[tex]80 * 90 + 100i = 12700[/tex]
[tex]7200 + 100i = 12700[/tex]
Collect like terms
[tex]100i = 12700 - 7200[/tex]
[tex]100i = 5500[/tex]
Divide by 100
[tex]i = 55[/tex]
So;
[tex]p = 90[/tex] and [tex]i = 55[/tex]
Which of the following functions is graphed below ?
Answer:
A. y = |x + 4| - 2.
Step-by-step explanation:
The graph of y = |x| is V shaped and passes through the origin and the slope is 1 (like the given graph).
y = |x + 4) moves the V shaped graph 4 units to the left so the tip of the V is at x = -4.
Now subtracting 2 from this graph will bring the graph to the point where x = -4 and y = -2.
So the given function is y = |x + 4| - 2.
Slope= -1/2 Line passes through the point (9,8). Write equation with point slope form
4n-11=9 replacement set of 4,5,6
Answer:
n = 5
Step-by-step explanation:
4n - 11 = 9
+ 11 = +11
4n = 20
4n/4 = 20/4
=5
A football team has 40 players. One of the players is a kicker. The coach randomly selects a player to perform a conditioning exercise. What is the probability that the player selected is the kicker? Write your answer as a fraction.
Answer:
1/40
Step-by-step explanation:
are -(x-4) and -x+4 equivalent?
Answer:
no
Step-by-step explanation:
Answer:
yes they are
Step-by-step explanation:
Charlotte walks home from school every day at a rate of
4 miles per hour. It takes her 30-minutes to reach
home. Her brother, Noah, runs home from the same
school every day at a rate of 6 miles per hour. How
many fewer minutes does it take Noah than Charlotte
to reach home from school each day? Be sure to
SHOW your WORK!
Answer:
It takes 10 fewer minutes for Noah than for Charlotte to home from school each day.
Step-by-step explanation:
We use the following relation to solve this question:
[tex]v = \frac{d}{t}[/tex]
In which v is the velocity, d is the distance, and t is the time.
Finding the distance:
Charlotte walks home from school every day at a rate of 4 miles per hour. It takes her 30-minutes to reach home.
This means that [tex]t = 0.5, v = 4[/tex]. Time is 0.5 because as the velocity is in miles per hour, the time has to be in hours. We use this to find d.
[tex]v = \frac{d}{t}[/tex]
[tex]4 = \frac{d}{0.5}[/tex]
[tex]d = 4*0.5 = 2[/tex]
The distance is of 2 miles.
Her brother, Noah, runs home from the same school every day at a rate of 6 miles per hour.
We have to find t, in hours, for which [tex]v = 6, d = 2[/tex]. So
[tex]v = \frac{d}{t}[/tex]
[tex]6 = \frac{2}{t}[/tex]
[tex]6t = 2[/tex]
[tex]t = \frac{1}{3}[/tex]
A third of an hour. In minutes, this is a third of 60, that is 60/3 = 20 minutes.
How many fewer minutes does it take Noah than Charlotte to reach home from school each day?
Noah: 20 minutes
Charlotte: 30 minutes
30 - 20 = 10
It takes 10 fewer minutes for Noah than for Charlotte to home from school each day.
Y=-2x^2+16x-35
Axis of Symmetry?
Answer:
Step-by-step explanation:
y=-2x²+16x-35
=-2(x²-8x+16-16)-35
=-2(x²-8x+16)+32-35
=-2(x-4)²-3
axis of symmetry is x-4=0
or x=4
Answer:
y=2x^2+16x-35
a=2, b=16
x= -[tex]\frac{16}{2x2}[/tex]
x=-4
I have 6 yard of ribbon i want to make ornaments that use 1/4 yard each how many ornaments can I make
Answer:
24
Step-by-step explanation:
It take 4 to make one yard and you need six yards soo..
6 x 4 = 24
Answer:
24 ornaments
Step-by-step explanation:
[tex]\frac{1}{4} = 25%[/tex]%
6 yards x 0.25 = 1.5 yards
[tex]\frac{6}{0.25} = 24[/tex] ornaments
to check:
24 ornaments x 0.25 yards each = 6 yards in total
The growing interest in and use of the Internet have forced many companies into considering ways to sell their products on the Web. Therefore, it is of interest to these companies to determine who is using the Web. A statistics practitioner undertook a study to determine how education and Internet use are connected. She took a random sample of 15 adults (20 years of age and older) and asked each to report the years of education they had completed and the number of hours of Internet use in the previous week. These data follow.
Education 11 11 8 13 17 11 11 11
Internet use 10 5 0 14 24 0 15 12
Education 19 13 15 9 15 15 11
Internet use 20 10 5 8 12 15 0
a. Employ a suitable graph to depict the data.
b. Does it appear that there is a linear relationship between the two variables? If so, describe it.
Answer:
Kindly check explanation
Step-by-step explanation:
Given the data:
Education : 11 11 8 13 17 11 11 11 19 13 15 9 15 15 11
Internet use 10 5 0 14 24 0 15 12 20 10 5 8 12 15 0
Labeled scatter plot of Education and Internet Use is attached in the picture below.
Yes there appears to be a linear relationship between the two variables (Education and Internet Use) as the data points appears to have an upward trend depicted by the linear trend line in the graph.
The correlation Coefficient value which is measures the degree of linear relationship between education and internet use is 0.7048
Which expression is equivalent to −3 2/3
Answer:
The answer is -3 - 2/3
Step-by-step explanation:
Just subtract
What are the solutions to the quadric equation x^2-16=0
Answer:
x=4, x=-4
Step-by-step explanation:
x^2-16=0
Add 16 to both sides;
x^2-16+16=0+16
Simplify;
x^2=16
x=[tex]\sqrt{16}[/tex], x[tex]-\sqrt{16}[/tex]
[tex]\sqrt{16}[/tex]
=4
factor the number;16
[tex]\sqrt{4^2}[/tex]
=[tex]\sqrt{4}[/tex]
-[tex]\sqrt{16}[/tex]
Factor the number 16;
[tex]\sqrt{4^2}[/tex]
=-4
mr miller bought 1/3 pounds of nuts he divided the nuts equally among his three children how much did each child get
Answer:
1/9
Step-by-step explanation:
1/3 ÷ 3 = 1/9
People use the KCF method for this kind of solution.
At first it is 1/3 ÷ 3/1, after that you need to flip the 2nd fraction. For example, to be able to flip the fraction to find the answer, the equation your supposed to get after flipping the 2nd fraction is 1/3 x 1/3 which makes 1/9.
Find the area of the polygon
Answer:
14 square units
Whats the relationship between a and b
they are supplemen angles
I just need an approximate value.
Answer:
1.898 ×10^27 kg for Jupiter
and for Neptune 1.024×10^26 kg
Answer:
Hola
Step-by-step explanation:
10 hours to drive 550 miles how many miles per hour ? find rhe unite rate
Answer:
55 mph
Step-by-step explanation:
divide the miles by hours
Traffic on Rosedale Road in Princeton, NJ, follows a Poisson process with rate6cars per minute. Adeer runs out of the woods and tries to cross the road. It takes the deer a random time (independentof everything else), uniformly distributed between2and5seconds, to cross the road. If there is acar passing while the deer is on the road, it will hit the deer with portability2/3(independent ofeverything else). Find the probability of a collision.
Answer:
Step-by-step explanation:
From the given information:
6 cars pass on the road per minute. This implies that per minute, we will have:
6/60 passes = 0.1 car passing the road per second
Thus, for 5 sec; we have:
5 × 0.1 = 0.5
Let assume X signifies to be a random variable which denote the no of cars in the next 5 minutes and which follows a Poisson distribution.
i.e.
[tex]X \sim Poisson (0.5)[/tex]
[tex]\text{P(collision occurs) = 1 - P(no car coming in the following 5 seconds)} \\ \\ =1 - P(X=0)[/tex]
[tex]= 1- \dfrac{[e^{-0.5\times 0.5^0}]}{0!}[/tex]
[tex]= 1 - e^{-0.5}[/tex]
[tex]= 1 - 0.6065[/tex]
[tex]= 0.3935[/tex]
However, the possibility of collision supposes the deer requires 2 seconds to cross the road can be computed as follows:
Suppose Y denote the arbitrary variable that addresses the no. of cars passing the road in 2 secs, then;
[tex]Y \sim Poisson (0.2)[/tex]
[tex]\text{P(collision occurs) = 1 - P(no car coming in the following 2 seconds)} \\ \\ =1 - P(Y=0)[/tex]
[tex]= 1- \dfrac{[e^{-0.2\times 0.2^0}]}{0!}[/tex]
[tex]= 1 - e^{-0.2}[/tex]
[tex]= 1 - 0.8187[/tex]
[tex]= 0.1813[/tex]
Helppppppppp plzzzzz !!!!
In a certain elementary school, 52% of the students are girls. A sample of 65 students is drawn.
1) What is the probability that less 60% of them are girls.
A) 0.0018
B) 0.8023
C) 0.8773
D) 0.9016
Type A, B, C, or D in the box
2) What is the probability that more than 70% of them to be girls.
A) 0.0018
B) 0.8023
C) 0.8773
D) 0.9016
Type A, B, C, or D in the box
3) Would it be unusual for more than 70% of them to be girls.
Type "usual" or "unusual" in the box
Answer:
a
c
b
i think those are right hope im not wrong good luck
Please help, this is due in 30 minutes
Answer:
i think the first one maybe... not so sure
Answer:
Should be B and D
Step-by-step explanation:
You plug in the first number before the comma, and if it equals the second number after the comma then the point 'satisfies the equation'.
Translate this sentence into an inequality:
Five subtracted from c is less than −17
Answer:
-17 < c < 5
Step-by-step explanation:
I think that's the answer
I can't confirm anything
QUICK PLEASE HELP!!!
I’LL MARK BRAINLIEST!!!!
Answer:
c.vertical angle is the answer
Answer:
c
Step-by-step explanation:
vertical
correct answer is c
Click or tap the location where the first dot should be
placed.
CI
Answer:
C.I
Step-by-step explanation:
Answer:
two on the top
one to the left
two to the right
two on the bottom
Step-by-step explanation:
Find the lateral surface area of the following prism: 5 cm 4 cm 5 cm 8 cm 6 cm LSA = [?] cm2 Enter
Answer:
Step-by-step explanation:
I was using 6×8 rectangle as a base of the triangular prism (as shows on the picture.
Let use the definition of a triangular prism and LSA = (5 + 5 + 6) × 8 = 128 cm²
The lateral surface area of the triangular prism is 128 square cm.
What is triangular prism?A triangular Prism is a pentahedron. It is a 3-D shape with two identical faces in the shape of a triangle connected by three rectangular faces. The edges and vertices of the bases are joined with each other via three rectangular sides.
For the given situation,
The sides of the triangle are 5 cm, 6 cm, 5 cm.
The length of the prism = 8 cm
The formula for lateral surface area of triangular prism is
[tex]LSA=(perimeter)(length)[/tex]
On substituting the above values,
⇒ [tex]LSA=(5+6+5)(8)[/tex]
⇒ [tex]LSA=(16)(8)\\[/tex]
⇒ [tex]LSA=128[/tex]
Hence we can conclude that the lateral surface area of the triangular prism is 128 square cm.
Learn more about triangular prism here
https://brainly.com/question/15070306
#SPJ2
I NEED AN ANSWER WITHIN LIKE 10 MINUTES-
Which expression is equivalent to -2 1/4 over -2 2/3
A. 9/4 Divided by 3/2
B. -9/4 divided by (-2/3)
C. -9/4 divided by 2/3
D. 9/4 divided by (-3/2)
Answer:
I think the option B is the answer -9/4 divided by (-2/3)
I hope this might help u
Given the side lengths, determine whether the triangle is acute, right, obtuse, or not a triangle.
15, 16, 21
A Not a Triangle
B Acute
Obtuse
D Right
9514 1404 393
Answer:
B acute
Step-by-step explanation:
We can define a "form factor" for a triangle as ...
f = a² +b² -c²
where c is the longest side length. It will be interpreted as follows:
negative -- obtuse trianglezero -- right trianglepositive -- acute triangleFor this triangle, our "form factor" is ...
f = 15² +16² -21² = 225 +256 -441 = 40 . . . . a positive number
The triangle is Acute.
PLEASE HELP ME!!!!!
sin(a-28)=cos4
a=?
Answer:
sin(a−28)=cos(4)
sin(a−28)=−0.653644
Step-by-step explanation:
What number makes the equation true ? 5*2/5= ? * 1/5
Answer:
10
Step-by-step explanation:
Answer:
5*2/5= 10*1/5
Step-by-step explanation:
MEMO
To: All businesses in Simpsons Square Mall
From: Louise Pembrooke, Simpsons Square Mall Manager
Re: New garbage collection rules
Simpsons Square Mall has hired a new waste collection company. Quick Clean, Inc., will be collecting garbage and recycling from all businesses starting next Monday. Collection days will not change, nor will the types of garbage and recycling that are acceptable to dispose of. The pickup time will be two hours later, so please adjust your schedules accordingly.
Each business will be given one blue garbage can and one green recycling bin. Full garbage cans must weigh no more than 40 pounds. Recycling bins must weigh no more than 20 pounds. Do not overfill the garbage cans. Debris that is not in cans must weigh no more than 10 pounds. Items put in the compactor should weigh no more than 60 pounds, except in December when it may weigh up to 70 pounds. Put your garbage in the alley behind your business’s back door.
You own a store in Simpsons Square Mall. Each garbage can must weigh no more than:
10 pounds.
20 pounds.
40 pounds.
60 pounds.
70 pounds.
Answer:
hhhhhh
Step-by-step explanation:
i think it is 40
The area of the Pacific Ocean is more than 60 million square miles.
What is that in scientific notation?
0 6 x 107
0 6x 107
60 x 10-6
60 106
The scientific notation for this is :-6x10⁷
the ratio of boys to girls is 15:11 .if boys are 435 find the number of girls
Answer:
[tex]Girls = 319[/tex]
Step-by-step explanation:
Given
[tex]Boys: Girls = 15:11[/tex]
Required
Find Girls, when Boys = 435
Substitute 435 for Boys
[tex]435: Girls = 15:11[/tex]
Express as fraction
[tex]\frac{Girls}{435} = \frac{11}{15}[/tex]
Multiply through by 435
[tex]435 * \frac{Girls}{435} = \frac{11}{15}* 435[/tex]
[tex]Girls = \frac{11}{15}* 435[/tex]
[tex]Girls = \frac{11* 435}{15}[/tex]
[tex]Girls = \frac{4785}{15}[/tex]
[tex]Girls = 319[/tex]