Answer:
(-12,2)
Step-by-step explanation:
2x + 4y = -16
2y - x = 16
Multiply the bottom part by 2.
2x + 4y = -16
4y - 2x = 32
Add the equations and the answers to the equations up, and they will equal each other.
(2x + 4y) + (4y - 2x) = -16 + 32
8y = 16
y = 2
Plug y = 2 to the 2nd equation.
2*2 - x = 16
4 - x = 16
Subtract 4 from both sides.
-x = 12
Multiply both sides by -1.
x = -12
the sum of the two postive numbers in 9. what is the maximum product that will result from the first number and the square of the second number.
Answer:
i believe this is the answer 4.5 and 4.5
Step-by-step explanation:
Let the nos to be a,b then
a+b==9
ab to be maxed
above eq can also be written as a(9-a)
9a - a^2==0
differ. this eq
9–2a=0
a=9/2==4.5
so the nos are 4.5 and 4.5
but if you want answers in integer then Nos are4 and 5
A cylindrical vase has a diameter of 6 inches. At the bottom of the vase, there are 7 marbles, each of diameter 3 inches. The vase is filled with water up to a height of 12 inches. Which of the following could be used to calculate the volume of water in the vase?
π(12in)2(3in) − 7(four over threeπ(1.5in)3)
π(3in)2(12in) − 7(four over threeπ(1.5in)3)
π(12in)2(3in) − 1.5(four over threeπ(7in)3)
π(3in)2(12in) − 1.5(four over threeπ(7in)3)
Answer:
Step-by-step explanation:
Vase:
h = 12 in
r = diameter/2 = 6/2 = 3 in
Volume of vase = πr²h
= π(3)²*12
Marbles:
r = 3/2 = 1.5 in
\(Volume \ of \ marbles = \dfrac{4}{3}\pi r^{3}\\\\\\Volume \ of \ 7 marbles=7*\dfrac{4}{3}\pi (1.5)^{3}\)
Volume of water = Volume of vase - volume of 7 marbles
\(= \pi (3)^{2}*12 - 7*\dfrac{4}{3}\pi (1.5)^{3}\)
Answer:
second choice
Step-by-step explanation:
the volume of water in the vase
= volume of the vase up to the height 12 inches - volume of 7 marbles
= π(6/2)²(12) - 7(4/3)π(3/2)³
so answer is the second choice
−4(2x+5)+2x+3= −11 what is x
Answer:
X=-1
Step-by-step explanation:
− 4 ( 2 + 5 ) + 2 + 3 = − 1 1
− 8 − 2 0 + 2 + 3 = − 1 1
− 8 − 1 7 + 2 = − 1 1
− 6 − 1 7 = − 1 1
− 6 − 1 7 + 1 7 = − 1 1 + 1 7
−6 = 6
Then, divide both sides of the equation by the same term: 6
and you get x=-1
A cell phone company charges $40 per month plus a $35 activation fee.Write an expression for the total cost for m months.
40m+35=
Step-by-step explanation:
I'm not sure but I think it is this
40m+35=
13,644 round to nearest ten thousand
Answer:
14,000
Step-by-step explanation:
(anything lower than 5 doesn't go up)
13,644 (4 is lower than 5 so the second number stays the same)
13,640 (4 is lower than 5 so the third number stays the same)
13,600 (6 is higher than 5 so the fourth number goes higher)
14,000 is the answer
ps can u please give me brainly
Answer:
13000
Step-by-step explanation:
the number in the ten thousandth place is 1 check
after 1 if value is 5 or greater round it
l-7l =
whatffwfefffwwfw
if 20% of 200 people know how to ski, how many people know how to ski
Answer:
200 x 20% = 200 x 20/100 = 40.
Answer is 40.
find the length of the missing sides round answers to the nearest tenth
Answer:
x= 9.37
y = 17.69
Step-by-step explanation:
in order to find the answer, use the trigonometries.
First finding x which is tan(32) = x/15
x = tan(32)15
and Y is cos(32) = 15/y
y = 15/cos(32)
I hope this helps
Which number doesn't share the same pattern as
2,20, 4,8,300
1st question answer pls
let's take a peek at the picture above, hmmm let's notice the vertex is at (-1 , 2), now let's get a point besides the vertex hmmm let's see it passes through (-2 , -1).
So we can reword that as what's the equation of a quadratic whose vertex is at (-1 , 2) and it passes through (-2 , -1)?
\(~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)}\\\\ \stackrel{a~is~negative}{op ens~\cap}\qquad \stackrel{a~is~positive}{op ens~\cup} \end{cases} \\\\[-0.35em] ~\dotfill\)
\(\begin{cases} h=-1\\ k=2\\ \end{cases}\implies y=a(~~x-(-1)~~)^2 + 2\hspace{4em}\textit{we also know that} \begin{cases} x=-2\\ y=-1 \end{cases} \\\\\\ -1=a( ~~-2-(-1) ~~ )^2 + 2\implies -3=a(-2+1)^2\implies -3=a \\\\\\ ~\hfill~ {\Large \begin{array}{llll} y=-3(x+1)^2 + 2 \end{array}} ~\hfill~\)
Answer:
y = -3(x + 1)^2 + 2
Step-by-step explanation:
y = a(x - h)^2 + k is the vertex form of a quadratic, where
(x, y) are any point that lies on the parabola,a is a constant determining whether the parabola opens upward or downward,and (h, k) are the coordinates of the vertex.Finding (h, k):
We see from the graph that the vertex is a maximum and its coordinates are (-1, 2). Thus h is -1 and k is 2. Since h becomes negative, it will be 1 in the parentheses: (x - (-1) = (x + 1).
Finding a:
In order to find a, we will need to plug in a point on the parabola for (x, y) and (-1, 2) for h and k. We see that (0, -1) lies on the parabola so we can use this point for (x, y).
-1 = a(0 - (-1))^2 + 2
-1 = a(0 + 1)^2 + 2
-3 = a(1)^2
-3 = a
Thus, a = -3.
Thus, the exact equation in vertex form of the parabola is:
y = -3(x + 1)^2 + 2
I attached a picture from Desmos Graphing Calculator that shows how the equation I provided works and contains the two points you marked on the parabola, including (-1, 2) aka the maximum, and (0, -1) aka the y-intercept.
Malcolm has $50 gift card to a local car wash and order is the ultimate car wash each visit is $8.95
The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.
The correct answer choice is option B.
How much cheaper is the car washes Malcolm orders than the car washes Martha's order?Malcolm's gift card = $50.
Cost Malcolm's car wash per visit = $7
Martha's gift card = $180
Cost Martha's car wash per visit = Difference between gift card balance of first and second visit
= $180 - $160
= $20
How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7
= $13
Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13
The complete question is attached in the diagram.
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1500 students in class and 1200 are present what is percentage of absent?
Answer:
300% percent of the people are absent...
Step-by-step explanation:
Here is a frequency distribution table (FDT) for a small data set: data value frequency 14 14 15 11 16 23 17 10 18 13 Find the following measures of central tendency: mean (I (Please show your answer to one decimal place.) median (Please enter an exact answer:) mode (Please enter an exact answer: )
The mean is 14.7, the median is 16, and the mode is 16.
To find the mean, we need to calculate the sum of all the data values and divide it by the total number of observations.
The sum of the data values is:
14 x 14 + 15 x 11 + 16 x 23 + 17 x 10 + 18 x 13 = 196 + 165 + 368 + 170 + 234 = 1043
The number of observations is:
14 + 11 + 23 + 10 + 13 = 71
The mean is calculated as follows,
1043 / 71 = 14.7 (rounded to one decimal place)
The median is the central value in the data collection. To find the median, we need to arrange the data values in ascending order and find the middle value. In this case, we have an odd number of observations, so the median is simply the middle value.
14, 14, 15, 15, 16, 16, 16, 16, 16, 16, 16, 17, 17, 18, 18, 18
The median is 16.
The mode is the value that appears most repeatedly in the data set. In this case, the mode is 16 since it occurs the most (23 times).
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Pamela is buying a $242,000 home with a 30-year mortgage. She will make
an 8% down payment. Use the table below to find her monthly PMI payment.
Base-To-Loan %
95.01% to 97%
90.01% to 95%
85.01% to 90%
85% and Under
OA. $96.48
OB. $144.72
OC. $157.30
OD. $151.01
Fixed-Rate Loan
30 yrs. 15 yrs.
0.90% 0.79%
0.78% 0.26%
0.52% 0.23%
0.32% 0.19%
ARM 2% +1 Year Cap
30 yrs.
15 yrs.
n/a
0.92% 0.81%
0.65%
n/a
0.37%
0.54%
0.26%
Of the 40 students in a class , 2/5 are girls. Of the girls , 1/4 wear glasses. How many girls do not wear glasses
Answer:
12 girls
Step-by-step explanation:
2/5 x 40 = 16
1/4 x 16 = 4
16 - 4 = 12
Question 11 of 25
Company A charges a $120 annual fee plus $7 per hour car share fee.
Company B charges $100 plus $9 per hour. What is the minimum number of
hours that a car share needs to be used per year to make company A a better
deal?
A. 12
B. 11
O C. 10
D. 9
Answer: is A
Step-by-step explanation:
Audrey is growing basil. On February 1st, her plant was 5 inches tall. A week later, the plant was 9 inches tall. By what percent did the plant grow?
Answer:
80%
Step-by-step explanation:
We know that the plant was 5 inches and it grew 4 inches to become 9 inches, so now we just need to figure out what percentage 4 is of 5. An easy way to do this is by multiplying 5 by 2 to get 10 and since 4 is 40% of ten we know that 4 is 80% of 5 because we have to multiply 4 by 2 because we did 5.
the plant grew by 80%.
Step-by-step explanation:
What is the surface area of a triangular prism
Answer:
surface area=bh+2ls+lb
Step-by-step explanation:
If you think it is too long to remember, just find the area of each of the shapes on it and add them together.
Hope this helps :)
What is the equation of the line in slope intercept form?
Answer:
y = x + 60
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
calculate m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (20, 80) and (x₂, y₂ ) = (40, 100) ← 2 points on the line
m = \(\frac{100-80}{40-20}\) = \(\frac{20}{20}\) = 1
the line crosses the y- axis at (0, 60 ) ⇒ c = 60
y = x + 60 ← equation of line
A triangle has a base length of 2ac2 and a height 6 centimeters more than the base length. Find the area of the triangle if a = 4 and c = 2.
The area of the triangle with the given base and height where a = 4 and c = 2 is: 608 cm²
What is the Area of a Triangle?Area = 1/2(base)(height).
Given the parameters:
Base length = 2ac² cmHeight = 2ac² + 6 cmIf a = 4 and c = 2, then:
Area = 1/2(base)(height) = 1/2(2ac²)(2ac² + 6)
Area = 1/2(2 × 4 × 2²)(2 × 4 × 2² + 6)
Area = 1/2(32)(38)
Area = 608 cm²
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what fraction of an hour is 6 minutes? give answer in its simplest form
Answer:
fraction is 1hr has 60 min so 6/60 is 1/10th fraction
Step-by-step explanation:
Answer:
QUESTION: what fraction of an hour is 6 minutes? give the answer in its simplest form.
ANSWER: 0.100
Step-by-step explanation:
Hope that this helps you out! :)
If you have any questions please put them in the comment section below this answer.
Have a great rest of your day/night!
Please thank me on my profile if this answer has helped you.
Evaluate the following algebraic expression: 64-9p when p=4
Answer:
28
Step-by-step explanation:
64 - 9(4)
64 - 36
28
5. You buy a boat for $35,000 that * 10 points
depreciates in value at about 17%
per year. How much will it be worth
in 3 years?
Your answer
Answer:
9000
Step-by-step explanation:
4. Uncle Royce is 42. What is his target heart rate range?
O 120-180 beats per minute
O 150-200 beats per minute
O116-160 beats per minute
O170-236 beats per minute
Step-by-step explanation:
70 to 85 % of his maximum
Maximum is estimated to be 220 - age = 220 - 42 = 178
70% of this is 125
85 % is 89 151
I believe I would go with the third choice 116-160 bpm
Polygon A has an area of 18 square feet and Polygon B has an area of 98 square feet. If the two polygons are similar, and Polygon B has a side length of 14 feet, find the corresponding side length in Polygon A.
Answer:
6 feet
Step-by-step explanation:
Let the length of side length in polygon A be represented by x. Since the two polygons are similar, then it can be deduced that;
Area scale factor = \((linear scale factor)^{2}\)
linear scale factor = \(\sqrt{Area scale factor}\)
Area scale factor = \(\frac{98}{18}\)
So that,
linear scale factor = \(\sqrt{\frac{98}{18} }\)
= 2.3333
The length of side of polygon A = \(\frac{14}{2.3333}\)
= 6.0085
Therefore, the corresponding side length of polygon A is 6 feet.
The time it takes to fly from Los Angeles to New York varies inversely as the speed of the plane. If
the trip takes 6 hours at 900 km/h, what would be the speed if the trip took 10 hours?
Answer: speed is 540 km/h
Step-by-step explanation: Lets mark speed as v.
Because distenace is same, you can mark 6 h · 900 km/h = 10 h · v
and v = 5400 km / 10 h = 540 km/h.
Or using inverse proportions : 10 h / 6 h = v / 900 km/h .
Before multiplying you turn lastproportion around :
10 h / 6 h = 600 km/ h / v ,which gives 10 v = 6 · 900 km/h
and result is same
a question was asked by a teacher to a student. She gave the student a jumbled word and told him to make words out of it. The jumbled word is gzeysktqix. Now you know what to do. see ya!
The teacher's question, the student can provide a List of words including "sixty," "zesty," "skit," "site," "size," "exit," "yeti," "kits," "kite," and "ties."
Let unscramble the jumbled word "gzeysktqix" and find the possible words that can be formed.
Upon unscrambling, we can find several possible words:
1. Sixty
2. Zesty
3. Skit
4. Site
5. Size
6. Exit
7. Yeti
8. Kits
9. Kite
10. Ties
These are some of the words that can be formed from the jumbled letters "gzeysktqix." There may be additional words that can be created, depending on the specific rules or restrictions given by the teacher.
Unscrambling words can be a fun and challenging exercise that helps improve vocabulary, word recognition, and problem-solving skills. It allows students to enhance their language abilities and discover new words they might not have known before.
Remember, the key is to rearrange the given letters systematically and try different combinations until meaningful words are formed.
So, in response to the teacher's question, the student can provide a list of words including "sixty," "zesty," "skit," "site," "size," "exit," "yeti," "kits," "kite," and "ties."
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The circumference of a circle is 87 cm. What is the DIAMETER of the circle?
A) 2 cm
B) 4 cm
C) 6 cm
D) 8 cm
Answer:
27.70
Step-by-step explanation:
you have to do 87 divided by the pi you only have to do 3.14 as the pi.
Rae leaves a party and heads north
walking at 2 km/hr. Dana leaves the same
party one hour later and heads south at
pace of 3 km/hr. How many hours will it
take the friends to put 7 km between
them?
The required it will take 2 hours for the friends to put 7 km between them.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Let's call the number of hours it takes the friends to be "x". During that time, Rae will have traveled 2x km. And Dana will have traveled 3(x-1) km (since she left an hour later).
We can now set up an equation:
2x + 3(x-1) = 7
Expanding the second term:
2x + 3x - 3 = 7
Combining like terms:
5x - 3 = 7
Adding 3 to both sides:
5x = 10
Finally, dividing both sides by 5:
x = 2
So it will take 2 hours for the friends to put 7 km between them.
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Bridget rolls a fair dice 360 times. How many times would Bridget expect to roll a five?
Answer:
60
Step-by-step explanation:
The probability of rolling a 5 is
P(5) =number of 5's on a die/ total number of numbers on a die
=1/6
Multiply the probability times the number of rolls
P(5) * 360
1/6 * 360
60
She should expect 60 rolls with a number 5.