Answer:
54
Step-by-step explanation:
20 ÷ a + 7 • b
Let a = 4 and b = 7
20 ÷ 4 + 7 • 7
Multiply and divide first
5 + 49
Then add
54
Answer:
54
Step-by-step explanation:
a=4 b=7
20/4=5
7✖️7=49
5+49=54
Hope this helps you!
Find the exact value of the following. The distance traveled by a car going 65 miles per hour for 3.5 hours is ____ miles.
Answer:
227.5
Step-by-step explanation:
D=ST so X= 65 x 3.5 = 227.5 miles
D=Distance = x
S=Speed = 65
T=Time = 3.5
Write an algebraic equation to match each graph. (These graphs are not drawn to scale!)
Answer:
y = |x - 1|
Step-by-step explanation:
This graph is the standard graph of y = |x|, shifted 1 unit right. To shift 1 unit right, we have to replace x by x - 1. This works because it replaces f(1) with f(0), f(2) with f(1), etc., shifting the entire graph right.
Select the best answer for the question.
2. Find the sum of the first 8 terms of a geometric series in which a1 = 3 and r= 2.
=============================================
Work Shown:
a = 3 is the first term
r = 2 is the common ratio
Sn = a*(1-r^n)/(1-r) ... sum of the first n terms
S8 = 3*(1-2^8)/(1-2) ... sum of the first 8 terms
S8 = 3*(-255)/(-1)
S8 = 765
----------
We can generate the first 8 terms to get 3, 6, 12, 24, 48, 96, 192, 384. Each new term is found by multiplying the previous one by 2.
Then add them up to get 3+6+12+24+48+96+192+384 = 765. We get the same result.
Answer: Answer: 765
Work Shown:
a = 3 is the first term
r = 2 is the common ratio
Sn = a*(1-r^n)/(1-r) ... sum of the first n terms
S8 = 3*(1-2^8)/(1-2) ... sum of the first 8 terms
S8 = 3*(-255)/(-1)
S8 = 765
I've already done the first part of the question but i have to write it so others can be able to answer my second. i'd be grateful if anyone could give a quick response! Given that €1 = £0.75 a. How much is €530 in £? b. What is the £ to € exchange rate? Hint: It can be helpful to think of it like this: if €1 = £0.75, then €100 = £75 Now work out what £1 is worth.
Answer:
£398
Step-by-step explanation:
€530 = £0.75
530 x 0.75 = £397.50
You round this of to the nearest whole number:
£398
Questions are attached
Answer:
V = 32 in^3
Step-by-step explanation:
The area of the triangle is (1/2)(base)(height), which here comes to:
(1/2)(4 in)(8 in) = 16 in^2.
The volume is (16 in^2)(height) = (16 in^2)(2 in) = 32 in^3
A party mix is made by adding nuts that sell for $2.50 per kg to a cereal mixture that sells for $1 per kg. How much of each should be added to obtain 60 kg of a mix
that will sell for $1.40 per kg?
1. The amount of nuts is ____kg and cereal mixture is ____ kg to obtain 60 kg of a mix that will sell for $1.40 per kg.
Answer:
The amount of nuts is 16 kg and cereal mixture is 44 kg to obtain 60 kg of a mix that will sell for $1.40 per kg
Step-by-step explanation:
Let
x=nuts at $2.50 per kg
y=cereal at $1 per kg
x+y=60 kg (1)
2.50x+y=1.40(60) (2)
From (1)
x=60-y
Substitute x=60-y into (2)
2.50x+y=1.40(60)
2.50(60-y)+y=84
150-2.5y+y=84
-1.5y=84-150
-1.5y=-66
Divide both sides by -1.5
y=44 kg
Substitute y=44 into (1)
x+y=60
x+44=60
x=60-44
=16
x=16 kg
Which of the following graphs represents the equation below? y= 0.666667x + 3
Answer:
the last graph
Step-by-step explanation:
the y intercept is clearly shown as three and then using rise over run you can see that the slope is 2/3 or 0.667
FIRST GETS BRAINLLEST If you spin the spinner below 240 times, which of the following outcomes are reasonable? Select all that apply. A) Lands on blue 131 times B) Lands on yellow 95 times C) Lands on red 95 times D) Lands on blue 210 times
Answer:
it is d
Step-by-step explanation:
it is because d has more parts so it would land on it more then yellow and have a higher chance to land on blue
hope this helps
Answer:
C is the most reasonable.
Step-by-step explanation:
So we can put it in a ratio of 4:3:1. Then add all those up and do 240/8 which is 30. So each number in the ratio is 30. Then we do 4*30=120. 3*30=90. 1*30=30. Both red and blue are close to there answers but red is closer.
help plz i want help
Answer:
1/3
Step-by-step explanation:
There are 9 possible outcomes
We want the ones that have the same color which are GG , YY or BB
P ( same color) = number of same color outcomes / total outcomes
= 3/9
=1/3
Answer:
1/3
Step-by-step explanation:
3/9, simplify to 1/3
24 t 1,507 lb 12 oz + 7 t 938 lb 6 oz
Answer:
31t 2,446 lb 2oz
Step-by-step explanation:
24t+7t=31t
1,507+938=2,445 lb
12 oz+6 oz=18 oz = 1 lb + 2oz (16 oz in a pound)
31t+2,445 lb+1 lb + 2oz=
31t 2,446 lb 2oz
a hummingbird flies forward 149 meters backward 57 meters and forward 23 meters write an equation that can be used to find how far forward the hummingbird flew.
Please help due today
Answer:
X=149-57+23
Step-by-step explanation:
X=149-57+23
Answer:
distance = 149 -57 +23
(-) is backward
(+) is forward
nth term of this sequence please 18, 16, 14, 12
Answer:
[tex]\boxed{\sf -2n+20}[/tex]
Step-by-step explanation:
Let’s find the common difference.
The common difference can be found by subtracting a term in the sequence with the previous term.
[tex]\sf d=16-18\\d=-2[/tex]
Apply formula for the [tex]\sf n^{th}[/tex] term of an arithmetic sequence.
[tex]\sf a_n=a_1+dn-d[/tex]
[tex]\sf a_1[/tex] is the first term of the sequence.
[tex]\sf d[/tex] is the common difference.
[tex]\sf a_n=18+-2n-(-2)[/tex]
[tex]\sf a_n=18+-2n+2[/tex]
[tex]\sf a_n=-2n+20[/tex]
Pls Help!! Jazzmin has 2/5 of a pie. How many 1/10's of a whole pie are there in 2/5 of a whole pie?
Answer options: a.) 1/25 b.) 1/4 c.) 25 d.) 4
PLS write the correct answer
Answer:
d
Step-by-step explanation:
2/5÷ 1/10 = [tex]\frac{2}{5}*\frac{10}{1}[/tex]
= 2 * 2
= 4
Answer:
b
Step-by-step explanation:
LCD of (5, 10): 10
2/5=4/10(multiply top and bottom by 2)
(4/10)/(1/10)= 4
Therefore, 1/10 is 1/4th of 2/5
use De Morgan’s laws to write an equivalent statement.
It’s totally false to say that the student has special needs and doesn’t belong in this classroom.
Answer:
It's totally false to say that the student has special needs or it's totally false to say the student doesn't belong in the classroom.
Step-by-step explanation:
De Morgan's Laws
Not (A and B) is the same as Not A or Not B
Not (A or B) is the same as Not A and Not B
SO:
It's totally false to say that the student has special needs or it's totally false to say the student doesn't belong in the classroom.
Which represents the polynomial written in standard form?
Answer:
Step-by-step explanation:
b
Answer:
I think it's 4x4 - 7xy3- 3x3v/2 +8x2y2
Step-by-step explanation:
A rectangle is graphed on the coordinate grid.
Which represents the equation of the side that is parallel to sider?
y=-X+9
y=-x+ 5
y=x-3
y= X+3
Let’s see if I can help you :)!
With two points you can define a line.
So, the line parallel to s is q, which has these two pointS: (3,6) and (6,3)
There are different ways to get the line. For instance, this one:
Y = a*x+b
a = slope = difference_y/difference_x = (3-6)/(6-3) = -1,
y = -x + b,
Now use any point, say (3,6) to get b:
6 = -3+b-> b - 9.
Line is y = -x + 9,
It checks out in the other point: (6,3) —> 3 = -6+9 = 3. Good.
Other method:
y-y2 = a*(x-x2), where (x2,y2) is one of the two points and a is the slope as defined before.
Really hope this helped you!
Answer:
The answer is B
Step-by-step explanation:
Which of the following is a true proportion of the figure based on the triangle proportionality theorem? Question 13 options: A) ab=ba B) cd=ab C) db=ac D) cb=ab
Answer:
i think A
plz correct me
Step-by-step explanation:
Rectangle ABCD is graphed in the coordinate plane. The following are the vertices of the rectangle: A(-8, -6), B(-3,-6), C(-3, -4), and D(-8, -4). Given these coordinates, what is the length of side AB of this rectangle?
Answer:
The length of AB is 6
Step-by-step explanation:
Graph the question out.
Count from A to B
Below are the distances that each of Davi the Dragon Keeper's four dragons can blow fire (in meters). 0.9, 0.5, 0.3, 1.1. Find the mean absolute deviation (MAD) of the data set.
Answer:
Step-by-step explanation:
MAD is simply the average distance that all of the numbers in your data set are from the mean. Your first step is to put your data in order, then determine the mean. Let’s look at this data set:0.3, 0.5, 0.9, 1.1
The mean of this data set is 0.7Starting with the lower extreme, and checking every number in your data set, determine how far each number is from the mean. First, put the numbers in numerical order, from least to greatest. Determine the distance each number is from 0.7. 0.3=0.40.5=0.20.9=0.21.1=0.4Add up all of the distances. Total distance from the mean (12) ÷ 4 numbers in our data set = a mean absolute deviation of 3.I added a PowerPoint that I made so that if you didn't understand it you could read off of it.
Answer:
[tex]0.3[/tex] - written in [tex]2/14/2021[/tex]
Step-by-step explanation:
The answer is [tex]0.3[/tex] because, [tex]\frac{0.9+0.5+0.3+1.1}{4} =\frac{2.8}{4} =0.7[/tex], so [tex]0.7[/tex] is the mean. After having found the mean, we have to subtract [tex]0.7[/tex] from the numbers, or the numbers from [tex]0.7[/tex]:
Data Point | Distance from the mean
[tex]0.9[/tex] | [tex]0.9-0.7=0.2[/tex]
[tex]0.5[/tex] | [tex]0.7-0.5=0.2[/tex]
[tex]0.3[/tex] | [tex]0.7-0.3=0.4[/tex]
[tex]1.1[/tex] | [tex]1.1-0.7=0.4[/tex]
After finding out the Distance from the mean we'll use their sums and add them all up: [tex]0.2+0.2+0.4+0.4[/tex], then divide them by [tex]4[/tex] because there are [tex]4[/tex] numbers combined together: [tex]\frac{0.2+0.2+0.4+0.4}{4}=\frac{1.2}{4}=0.3[/tex].
So that's why the answer is [tex]0.3[/tex] (Happy Valentines Day!)
pre-algebra !!!. A class contains 3 female and 9 male students. Find the probability that a student chosen at random is a male, and then a second student chosen at random from the remaining students is also male. 9/16 3/4 1/2 6/11 None of the above
Answer:
D
Step-by-step explanation:
The first student is from a class of 12.
The first student = 9/12 for the fist male.
The second male is 8 out of 11.
The probability of both being males is
9/12 * 8/11 = 3/4 * 8/11 = 6/11
Find the value of y.
Answer:
y is 3.6
Step-by-step explanation:
The information given are
Parallel lines crossing two converging lines with proportion 3 and 5 on one and 6 and y on the other
To find y, we have that two or more parallel lines cut by two transversal proportionately cut the transversal lines;
Therefore we have from the measured segment of the two lines;
[tex]\dfrac{3}{5} = \dfrac{y}{6}[/tex]
Which gives;
3 × 6 = 5 × y
y = 3 × 6/5 = 18/5
y = 18/5 = [tex]3\frac{3}{5}[/tex] , which is equal to 3.6.
Which number is an irrational numbe?
Answer:
Option D
Step-by-step explanation:
=> [tex]\sqrt[3]{16}[/tex] is an irrational number because it cannot be written in the form of [tex]\frac{p}{q}[/tex] which is one of the most important characteristics of rational number.
=> The simplified form of [tex]\sqrt[3]{16}[/tex] is [tex]16 ^{1/3[/tex].
Answer:
[tex]\boxed{\sqrt[3]{16}}[/tex]
Step-by-step explanation:
Irrational numbers cannot be expressed as a fraction in the form [tex]\frac{p}{q}[/tex], where [tex]p[/tex] and [tex]q[/tex] are whole integers.
[tex]\sqrt{100} =10[/tex]
[tex]\frac{1}{8} = \frac{1}{8}[/tex]
[tex]-2.2675=\frac{-907}{400}[/tex]
[tex]\sqrt[3]{16} = 2.51984209979...[/tex]
36. The top of a gazebo in a park is in the shape of a
regular pentagonal pyramid. Each side of the
pentagon is 10 feet long. If the slant height of
the roof is about 6.9 feet, what is the lateral
roof area?
A 34.5 ft2
B 50 ft2
C 172.5 ft2
D 250 ft2
Answer:
C. 172.5 ft²
Step-by-step explanation:
area of triangular roof piece is 1/2(10)(6.9) = 34.5
there are 5 of them so 34.5 x 5 = 172.5 ft²
Find the mean absolute deviation (MAD) of the data in the bar chart below.
Mean absolute deviation of the given data is 1.5
What is Mean absolute deviation?The average absolute deviation of a data set is the average of the absolute deviations from a central point.
What is Mean?The arithmetic mean, also known as arithmetic average, is a measure of central tendency of a finite set of numbers
From the given bar chart
Mean = Sum of the terms / Number of terms
Mean = [tex]\frac{4+5+6+1}{4}=4[/tex]
Mean absolute deviation = [tex]\frac{1}{n}[/tex]∑ | mean- x|
MAD = [tex]\frac{|4-4|+|4-5|+|4-6|+|4-1|}{4} =\frac{0+1+2+3}{4}=1.5[/tex]
Hence, Mean absolute deviation of the given data is 1.5
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Answer:
1.5
Step-by-step explanation:
Which value is equivalent to 7 multiplied by 3 multiplied by 2 whole over 7 multiplied by 5, the whole raised to the power of 2 multiplied by 7 to the power of 0 over 5 to the power of negative 3, whole to the power of 3 multiplied by 5 to the power of negative 9?
Answer:
36/25
Step-by-step explanation:
((7*3*2)/7*5)^2 * ((7^0)/(5^-3))^3 * 5^-9
(42/35)^2 * (1/5^-9) * 5^-9
36/25 * 5^9 * 5^-9
36/25 * 5^(9-9)
36/25 * 1
Answer:
35/25
Step-by-step explanation:
i hope this helps
The initial count of a certain type of bacteria in a culture is 350. If the bacteria grows at the rate of 20% per hour, which
function models the number of bacteria after t hours?
Answer:
70
Step-by-step explanation:
[tex]\frac{20}{100}*350=70[/tex]
50 points, show your work. This table shows the battery life of 4 different mobile phones: Phone A: 20 hours Phone B: 25 hours Phone C: 10 Hours Phone D: 18 hours. If 8.45% of the battery life of each mobile phone is used in a day by a typical user, for which mobile phone is 0.8 hour of battery life used in a day? Phone A Phone B Phone C Phone D
Answer:
phone c :)
Step-by-step explanation:
The outside of this set of four cubic blocks with no space between blocks is painted. What is the number of painted square faces?
Answer:
18
Step-by-step explanation:
There would be four faces on the top, left, bottom, and right. That equals 16. (4x4)
There would also 1 on each end, so you have to add 2. That equal 18.
This is assuming you paint the faces on the bottom. If you didn’t, the answer would be 14. (But it doesn’t say not to paint them.)
posts does Tom need and what are the
dimensions of the fence?
I postdyards Therefore, Dimensions are
A bag of marbles can be shared equally among 3,
or 6 students with none left over. What's the least
amount of marbles that can be in the bag?
If there are 150 people born in the world every
minute; how many are bom every Hour? Day?
Year?
Answer:
1) 3 marbles
2) The number of people born every hour is 9000 people
The number of people born every day is 216,000 people
The number of people born every year = 78,840,000 people
Step-by-step explanation:
1) The given information are;
The number of students = 3 or 6
Amount of marbles remaining after sharing = None
Least amount of marbles that can be shared equally among the students = Condition each student gets one marble = 1 × 3 = 3 marbles
The least amount of marbles that can be shared equally among the students = 3 marbles
2) The number of people born int eh world every minute = 150 people
The number of minute in one hour = 60 minutes
∴ The number of people born every hour = 150 × 60 = 9000 people
Given that the number of hours in one day = 24 hours
∴ The number of people born every day = 9000 × 24= 216,000 people
Given that the number of days in one year = 365 days
∴ The number of people born every year = 216,000 × 365= 78,840,000 people
Which statement is true regarding the diagram of circle P? The sum of y and z must be 2x. The sum of y and z must be One-halfx. The difference of z and y must be 2x. The difference of z and y must be One-halfx.
Answer:
The difference of z and y must be 2x.
The statement that will be correct is, the difference of z and y must be 2x, the correct option is C.
What is Angle of Intersecting Secants Theorem?According to Angle of Intersecting Secants Theorem, If two chords extended as secants intersect outside a circle , then the measure of the angle formed by the secants is half the difference of the measures of the intercepted arcs .
The measure of the intercepted arc is z and y
and the measure of the angle formed is x
According to the theorem, the measure of x = ( z-y) /2
The missing image is attached with the answer.
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