82 = 0.82 = multiplier
134.18 x 0.82 = 110.0276
= £110.03 (2.d.p)
A yogurt machine makes
gallon of yogurt
every minute. The total amount y that the
machine makes in x minutes is given by
the equation y
]×. Determine whether the
relationship between x and y is linear and, if
so, if it is proportional,
Step-by-step explanation:
the relationship between x and y is defined by a constant factor.
you can "go" from x to y and from y to x consistently and without any interruptions by applying that constant factor.
that makes it a linear relationship (a line on a chart, hence the name).
proportional relationships are relationships between two variables where their ratios are equivalent. another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality".
so, yes, it is proportional.
and the table is then
x y
0 0
3 3×2/3 = 2
6 6×2/3 = 4
9 9×2/3 = 6
Fine the area of the circle. Round to the nearest tenth. Use 3.14 for pie.
Answer:
the answer is 379.9m²
Step-by-step explanation:
half of 22 is ll time 3.14 equals 379.94. to the nearest tenth is 379.9
A kite string is 100 feet long from the kite to the ground. The string makes a 45° angle with the ground
About how high off the ground is the kite? Leave your answer as a simplified radical
Answer:
It's not very high
Step-by-step explanation:
The angle that the string and the ground maje, is acute, because it's smaller than a right angle. So, since it is an acute angle, it's not very high. It is about 30cm high.
Helpppppp!!!
(Show work)
Answer:
Step-by-step explanation:
Part B: A"C
what is the measure of angle F????
Answer:
Angel F would equal about 50 degrees.
I used my protractor to measure the angle. My answer may be incorrect since I measuring it through a computer screen. (please read more before submitting your answer)
Another strategy:
(this one should be more accurate)
The sum of exterior angles in a polygon is always equal to 360 degrees. Therefore, for all equiangular polygons, the measure of one exterior angle is equal to 360 divided by the number of sides in the polygon.
The angles are given all equal 312 degrees
75 + 91 + 146 = 312 degrees
This means angel F equals:
360 degrees - 312 degrees = F degrees
F = 48 degrees
In conclusion, 48 and 50 are reasonable answers but the strategy used to find the answer 48 degrees makes more sense.
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
George bought a 3-pound bag of potatoes and a 32-ounce bag of carrots. How many pounds of vegetables did George buy?
A) 3 pounds
B) 5 pounds
C) 6 pounds
D) 8 pounds
Answer:
5
Step-by-step explanation:
1 pound = 16 ounces
32/16 = 2
2 + 3 = 5
So therefore he bought 5 pounds of vegetables.
Chin-Mae has a fishtank that measures 75 cm by 45 cm by 35 cm. He also has a jug that holds 1.75 litres. He uses the jug to fill the fishtank with water. How many full jugs of water does it take to fill the fishtank? Show how to check your answer.
To find the volume of a rectangular prism, we can use the following formula:
[tex]V=lwh[/tex]
l = lengthw = widthh = heightConverting between mL and L1000 mL = 1 L
Solving the QuestionWe're given:
Fish tank measurements: 75 cm by 45 cm by 35 cmJug capacity = 1.75 LTo solve this question, we could follow these steps:
Find the volume of the tankDivide the volume of the tank by the jug capacityFind the volume of the tank
[tex]V=lwh[/tex]
⇒ Plug in the measurements: 75 cm by 45 cm by 35 cm
[tex]V=75*45*35\\V=118125[/tex]
Divide the volume of the tank by the capacity of the jug
There is a relationship between cm³ and mL, not cm³ and L. Convert the 1.75 L for the jug capacity to mL:
1.75 × 1000
= 1750
118125 ÷ 1750
= 67.5
AnswerIt takes 68 full jugs of water to fill the tank.
Please help me with this math question. I will give brainliest!! :D
Answer:
C
Step-by-step explanation:
PLS HELP ME I WILL MARK THE BRAINIEST 50 POINTS!!!!!!
Answer:
Done. Check comments
Step-by-step explanation:
Inscribed angles are half the measure of the intercepted arcs. This example shows major arc BEA being intercepted by the supplement of 74, which is 106. If you double that, you get the arc, 212.
The next example shows 80 and 154 are intersected by two chords. The angle created by that intersection is the average of the two intercepted arcs. 117.
When two secant lines intersect, they form an angle that is half the measure of the DIFFERENCE of the intercepted arcs. 145 - 53 = 92/2 = 46.
This is similar to the previous one. Except the difference is between 263 and 97. ACTUALLY, I MADE AN ERROR on the comment about this one.
263-97 = 166/2 = 83***
Can someone help this is due in like 20 minutes Find the value of x in the triangle shown below. 58° 6 6 5.8
Answer:
I'm wonde what it is because I like this stuff
The required value of angle x in the given triangle using the sine formula is 61.31
The triangle is shown in the figure, we have to determine the value of angle x in degrees.
To determine the angle, we must apply the sine formula using the angle-side combination.
Sine formula is given as:
sinA/a = sinB/b=sinC/c
sin58/5.8=sinx/6
Simplifying the above expression:
sinx=0.877
x = sin⁻¹(0.877)
x= 61.31°
Learn more about the sine formula here:
https://brainly.com/question/32029921
#SPJ4
A parabola can be represented by the equation y2 = –x. What are the coordinates of the focus and the equation of the directrix? focus: (negative one-fourth, 0); directrix: x = One-fourth focus: (one-fourth, 0); directrix: x = Negative one-fourth focus: (–4,0); directrix: x = 4 focus: (4,0); directrix: x = –4.
The focus and directrix of the parabola are (–0.25, 0) and x = 0.25. Then the correct option is A.
What is the parabola?It is the locus of a point that moves so that it is always the same distance from a non-movable point and a given line. The non-movable point is called focus and the non-movable line is called the directrix.
A parabola can be represented by the equation y² = – x.
The coordinates of the focus and the equation of the directrix will be given as
We know that the standard equation of the parabola y² = – 4ax.
On comparing, we have
a = 1/4 = 0.25
The focus of the parabola is at (–a, 0) that is (–0.25, 0).
The directrix of the parabola will be given as
y = a
x = 0.25
More about the parabola link is given below.
https://brainly.com/question/8495504
Answer:
A. focus: (negative one-fourth, 0); directrix: x = One-fourth
Step-by-step explanation:
i did it
how to solve 3x - y = -1 and -3x - y= 5
You have just inherited $150,261 from a trust that has matured. You would like to invest the total amount into an account that pays you an annual compounded interest rate of 9. 1%, and you would like to make annual withdrawals over the next 20 years such that by the end of this 20 year period, the amount remaining in the account will be zero dollars. Determine, from the given information, the amount of the annual withdrawals. Round to the nearest cent. A. $16,578. 03 c. $15,978. 10 b. $162,851. 31 d. $15,575. 98.
Answer:
C
Step-by-step
The amount of the annual withdrawals will be $16,574.24.
The given data in the problem is;
P = annual payment
PV= present value = $150,261
r= rate of intreast = 9.1% =9.1/100= 0.091
n = time period= 20
What is the formula for the annual payment ?[tex]P=\frac{r\times PV}{1-(1+r)^{-n}}[/tex]
[tex]P=\frac{0.091\times 150261}{1-(1+0.091)^{-20}}[/tex]
[tex]P=16754.24[/tex]
Therefore, the amount of the annual withdrawals will be $16,574.24.
To learn more about the amount visit:
https://brainly.com/question/25870256
I need help with this math please, thanks in advance. Much appreciated. 50 points available! The most helpful answer will receive brainliest!
1. Sofie decides to develop a survey.
(a) Give an example of a question she could ask on her survey.
(b) How could Sofie select a simple random sample of students to take her survey?
(c) She gives out 80 surveys but receives only 32 completed surveys. What are the sample and population for Sofie’s research?
(d) Of the 32 students who completed surveys, 16 said they use social media while doing schoolwork. If Sofie uses only the completed surveys, what conclusion could she make about the percent of all high school students who use social media while doing schoolwork?
2.Tony decides to use observation. He visits 10 students and observes them doing schoolwork at home for 30 min. If a student looks at social media during that time, he notes it.
(a) Provide an advantage of using observation.
(b) Provide a disadvantage of using observation.
(c) What are the sample and population for Tony’s research?
(d) Suppose 3 of the 10 students looked at social media during the observation. What conclusion could Tony make about the percent of high school students who use social media while doing schoolwork?
Much thanks and appreciation!
Answer:
1. A. how much of the students time is spent on social media during school hours.
B. By using some kind of selection technique Like Having students draw number from a hat, who ever have the specific numbers will take her survey.
C. The population for Sofies research would be a rate of 5/2. For every 5 people who take the survey only 2 turned it in.
D. She would conclude that 1 out of every 2 or 50 percent of students use social media while doing school work.
2. a) It helps to get accurate data or records of the information he wants to process and also is a direct way of carrying out analysis.
b) The students definitely might get distracted in the process of his observation and there fore render the data collection not as accurate as it will be for analysis.
c) The sample are the 10 students
The population are high school students
d) Tony 's conclusion will be 3 out of 10 looked at social media
thus 3/10 * 100 = 30 %
Step-by-step explanation:
choose the name of the highlighted part.
Answer:
B.edge it is the correct answer!
the triangles below are congruent and the corresponding parts are marked
Answer:
Step-by-step explanation:
Jay is measuring the angles of a triangle. He gets 30 degrees and 100 degrees, what is the measured third angle?
Answer:
50°
Step-by-step explanation:
the sum of the 3 angles in a triangle = 180° , that is
3rd + 30° + 100° = 180°
3rd + 130° = 180° ( subtract 130° from both sides )
3rd angle = 50°
Answer:
50 degrees
Step-by-step explanation:
In any triangle, there are 180 degrees. If we add 100 degrees plus 30 degrees to get 130, simply subtract that from 180 the get the measure of the third angle. (180-130= 50) Hope this helps!
Use mental math to find the sum.
150 + 20 + 25
Answer:
50 + 20 = 70
70 + 25 = 95
150 + 95 = 245
In conclusion, 150 + 20 + 25 equals to a total amount of 215.
Step-by-step explanation:
Have a great rest of your day
#TheWizzer
hemo
150 + 20 + 25
= 100 +50+20+20+5
= 100+90+5
=195
Ten tubs of dried cranberries cost $40 how many runs can u buy for $20
Answer:
5 tubs
Step-by-step explanation:
This because if we divided 10 in half we get 5 and if we divide 40 in half we get 20
I hope this helps :)!!
HELP PLEASE!!!!!!!!!
James left a bin outside in his garden to collect rainwater. He notices that 1/4 gallon of water fills 2/3 of the bin. Write and solve an expression to find the amount of water that will fill the entire bin. Show your work. Explain your answer in words
Answer:
3 pints of water will fill up the bin
Step-by-step explanation:
1 gallon = 4 quarts
1/4 gallon = 1 quart
1 quart = 2 pints
That means that Two pints filled 2/3 of the bin meaning that one more pint will fill it up completely
SOMEONE PLS HELP ME !!!!
At what point does the line given by the following equation cross the y-axis? y = (6/9)X + 9
A. (9,0)
B. (0,6/9)
C. (0,9/6)
D. (0,9)
Answer:
D
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 )
y = [tex]\frac{6}{9}[/tex] x + 9 ← is in slope- intercept form
with y- intercept c = 9
then the line crosses the y- axis at (0, 9 )
This figure represents the base of an aquarium that is 9 inches high.
What is the volume of the aquarium?
558 in³
612 in³
702 in³
810 in³
Answer:
Step-by-step explanation:
Answer:
558 in³ for K12
a shopkeeper selling an article at discount of 20% looses rs 400 if he allow 10% discount he gains rs 200 find the marked price and the cost price of the article
Answer:700
Step-by-step explanation:
Let the M.P of the article be x .
A discount of 20% was given on the M.P .
So the selling price of the article ( S.P ) will be M.P - Discount .
Discount = 20 % of x
⇒ Discount = 20/100 of x
⇒ Discount = 1/5 × x
⇒ Discount = x/5
Now S.P = M.P - Discount .
⇒ S.P = x - x/5
⇒ S.P = ( 5 x - x ) / 5
⇒ S.P = 4 x / 5
The shopkeeper loses Rs 200 .
Loss = C.P - S.P
⇒ C.P = Loss + S.P
⇒ C.P = 200 + 4 x / 5
⇒ C.P = ( 1000 + 4 x )/5
Now if he allows 10 % discount then the gain is Rs 150 .
Gain = S.P - C.P
⇒ S.P = Gain + C.P
⇒ S.P = 150 + ( 1000 + 4 x )/5
⇒ S.P = ( 750 + 1000 + 4 x )/5
⇒ S.P = ( 1750 + 4 x )/5
Discount = 10 % of x .
⇒ Discount = 10/100 × x
⇒ Discount = x/10
S.P = M.P - Discount
⇒ ( 1750 + 4 x )/5 = x - x/10
⇒ ( 1750 + 4 x )/5 = 9 x / 10
⇒ 1750 + 4 x = 9 x / 2
⇒ 3500 + 4 x = 9 x
⇒ 9 x - 4 x = 3500
⇒ 5 x = 3500
⇒ x = 3500/5
⇒ x = 700
Nathan is going to invest in an account paying an interest rate of 4. 9% compounded continuously. How much would Nathan need to invest, , for the value of the account to reach $34,000 in 9 years?
[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$34000\\ P=\textit{original amount deposited}\\ r=rate\to 4.9\%\to \frac{4.9}{100}\dotfill &0.049\\ t=years\dotfill &9 \end{cases} \\\\\\ 34000=Pe^{0.049\cdot 9}\implies 34000=Pe^{0.441}\implies \cfrac{34000}{e^{0.441}}=P\implies 21875.35\approx P[/tex]
Multiply. Write your answer in simplest form. 2 5/6x2/5
Answer:
17/15
Step-by-step explanation:
2 5/6 x 2/5
convert 2 5/6 into improper fraction
17/6 x 2/5
cancel out the greatest common factor which would be the 6 and the 2
17/3 x 1/5
multiply straight across
17/15
could also be written as 1 2/15 or 1.13
look at pic please and answer
What is the number halfway between 8516 and 8586?
Answer:
8551
Step-by-step explanation:
The midpoint of two numbers can be found by finding the mean of the two numbersMidpoint = 8516 + 8586 / 2We clearly see both numbers start with the digits '85' therefore their midpoint will also start with '85'The remaining two digits on those two numbers should be added and divided by 2⇒ 16 + 86 / 2 = 102/2 = 51Midpoint = 8551calculate the arithmetic mean of -121 and 49
Answer:
i dont rlly know
Step-by-step explanation:
-121+49 then divide by 2
Answer:
-36
Step-by-step explanation:
The arithmetic mean of n numbers is their sum, divided by n.
The arithmetic mean of your 2 numbers is ...
(-121 +49)/2 = -72/2 = -36
The arithmetic mean of -121 and 49 is -36.
__
Many calculators and spreadsheets have an arithmetic mean function built in.
Can some please explain and solve how to do these unit rate equations?