9514 1404 393
Answer:
(a) 84
Step-by-step explanation:
The largest integer that will round to 80 is one that does not have 5 or more in the ones place: 84.
__
The largest decimal number of a particular precision is 84.99999... (some finite number of 9s). If there are an infinite number of 9s, the number can be shown to be equal to 85, which would round to 90.
The sum of two numbers is fifteen. One number is three less than the other. Determine the system of equations.
Answer:
let, one number be x
then, other number be x-3
X+X-3=15
or, 2X=15+3
or,2X=18
or,X=18÷2
or,X=9
one number =9
then another number=X-3=9-3=6
The system of equations with two numbers x ad y are,
⇒ [tex]x + y = 15[/tex]
⇒ [tex]x = y - 3[/tex]
Given that,
The sum of two numbers is fifteen.
And, One number is three less than the other.
Let us assume that,
Two variables for the numbers in the system of equations are x and y.
Hence, we can write the system of equations as,
The sum of two numbers is fifteen.
⇒ [tex]x + y = 15[/tex]
And, One number is three less than the other.
⇒ [tex]x = y - 3[/tex]
So, the system of equations is,
⇒ [tex]x + y = 15[/tex]
⇒ [tex]x = y - 3[/tex]
Learn more about systems of equations at:
brainly.com/question/14323743
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elena's retirement part will cost $16 if she invites 8 guests. If there are 10 guest how much will elena retirement party cost?
Answer:
$20
Step-by-step explanation:
Please mark me as brainliest
Answer:
Elena's retirement party will cost $20 if she invites 10 guests.
Step-by-step explanation:
We know this because the problem tells us that the party will cost $16 if she invites 8 guests, which means that every guest costs $2 and if we multiply 2 and 10 we get 20.
What is the volume of the rectangular prism (please help urgent)
Answer:
The answer is 1 1/9 ft
Step-by-step explanation:
Multiply 5/3 x 2/3 x 1
Which expression is equivalent to the one below?
Answer:
D. [tex]5\cdot\frac{1}{2}[/tex]
Step-by-step explanation:
[tex]5\div 2 =\frac{5}{2} \\\\5\times\frac{1}{2}\\\\=\frac{5}{1}\times\frac{1}{2}\\\\=\frac{5}{2} \\[/tex]
Solve the following System of Equations using Substitution:
x+3y=1
−3x−3y=−15
Answer:
x=7, y=-2 (negative 2)
Step-by-step explanation:
14. A rare bacterial culture is being grown in a lab. As the days progress, the cells multiply and grow.
After 1 day, there is only 1 cell.
After 2 days, there are 9 cells.
After 3 days, there are 20 cells.
After 4 days, there are 34 cells.
Awhich recursive equation represents the pattern? (2 points)
an = an - 1 + 3n
an = an - 1 +n + 2)
an = an - 1 + 3(n + 2)
an = an - 1 + (3n + 2)
Answer:
a[n] = a[n-1] +(3n +2)
Step-by-step explanation:
The difference between Day 1 and Day 2 is 9 - 1 = 8 cells. The difference between a2 and a1 in each of the answer choices is a2 -a1 = ...
3n = 3(2) = 6 ≠ 8
n+2 = 2+2 = 4 ≠ 8
3(n+2) = 3(2+2) = 12 ≠ 8
3n +2 = 3(2) +2 = 8 . . . . . . this is the appropriate choice:
[tex]\boxed{a_n=a_{n-1}+(3n+2)}[/tex]
Which of the following statements is true about completing a square? A. When completing the square, subtract the square of half the coefficient of x from both sides of the equation. B. When completing the square, add the square of half the coefficient of x to only the x^2+bx side of the equation. C. When completing the square, add half the coefficient of x to both sides of the equation. D. When completing the square, add the square of half the coefficient of x to both sides of the equation.
Answer:
D
Step-by-step explanation:
So, let's say that we have the following equation:
[tex]x^2+bx=0[/tex]
And we want to complete the square.
What we need to do is to divide the coefficient of x by half. Square that. Then add that number to both sides.
The answer that reflects this is choice D.
For instance if we have:
[tex]x^2+4x=0[/tex]
Divide 4 by 2 and then square it.
4/2 is 2. 2²=4. Add 4 to both sides. Thus:
[tex](x^2+4x)+4=0+4[/tex]
And now, we can complete the square:
[tex](x+2)^2=4[/tex]
Evaluate f(x) = 5x - 1 given the inputs (-1, 0,1,2)
Answer:
-6, -1, 4, 9
Step-by-step explanation:
You can substitute the values and do the arithmetic:
f(-1) = 5(-1) -1 = -5 -1 = -6
Or, you can recognize that the output values will increase by 5 for each increase of 1 in the input value.
f(0) = -6 +5 = -1
f(1) = -1 +5 = 4
f(2) = 4 +5 = 9
The (input, output) pairs are ...
(-1, -6), (0, -1), (1, 4), (2, 9)
A dog walker charges a flat rate of $6 per walk plus an hourly rate of $30. How much does the dog walker charge for a 45 minute walk? Write an equation in function notation for the situation, and then use it to solve the problem. Determine if the given statement is True or False.
The dependent variable is the number of hours.
A True B False
The function for the walker's fee is f(h) = 30h + 6.
A True B False
The dog walker charges $22.50 for a 45 minute walk.
A True B False
Answer:
- False
- True
- false
Step-by-step explanation:
- The variable that changes is the price
- 30 is the slope and 6 is the y-int
- 30(.75) + 6 = 28.5
Solve the following absolute value equation. If needed, write your answer as a fraction reduced to lowest terms. Please explain your answer |y−43|−|y−35| =0
Answer:
y = 39
Step-by-step explanation:
|y−43|−|y−35| =0
add |y−35| to each side
|y−43|= |y−35|
This tells us that y must be between 35 and 43
That means |y−35| is positive so we can remove the absolute value signs
|y−43| is negative so we negate each term ( or multiply by -1)
-y+43 = y - 35
Add y to each side
y-y+43 = y+y-35
43 = 2y -35
Add 35 to each side
43+35 = 2y
78 = 2y
Divide by 2
78/2 = 2y/2
39 = y
Answer:
Step-by-step explanation:
I need help please !! Please be correct, and if you can please explain.
Answer:
a and c are undefined.
b and d are zero.
Step-by-step explanation:
Vertical lines are undefined because of division by 0 (a and c).
The run is zero.
Horizontal lines have a slope of 0 (b and d).
The rise is zero.
What is the sum of 73.04 × 1.2
Answer:
87.648
Step-by-step explanation:
It may be hard to multiply decimals. However, if you can break the decimal up into two separate equations, it can make it easier. Solving 73.04 x 1.2 is the same as solving (73.04 x 1) + (73.04 x 0.2). You already can say that 73.04 x 1 is 73.04. And then you can solve 73.04 x 0.2. Solving 73.04 x 0.2 is the same as solving 73.04 divided by 5, which will get you 14.608. Finally, all you have to do is add the two sums (73.04 + 14.608) which will get you your answer of 87.648.
P(A) = 0.33, P(A and B) = 0.25, find P(B
Answer:
≈0.76
Step-by-step explanation:
P(A) = 0.33
P(A and B) = 0.25
P(B) = ?
-------------
Probability of two events happening is the product of individual probabilities
P(A and B) = P(A)×P(B)Then to find the probability of one of the events:
P(B) = P(A and B) / P(A)P(B) = 0.25 / 0.33 ≈ 0.76A storage pod has a rectangular floor that measures 19 feet by 13 feet and a flat ceiling that is 5 feet above the floor. Find the area of the floor and the volume of the pod.
Answer:
Area= 247 feet²
Volume= 1235 feet³
Step-by-step explanation:
A storage pod has a rectangular floor that measures 19 feet by 13 feet and a flat ceiling that is 5 feet above the floor.
Area of the floor= length*width
Length= 19 feet
Width= 13 feet
Area= 19*13
Area= 247 feet²
Volume of the pod= area*height
Height of the pod= 5 feet
Area= 247 feet²
volume= 247*5
Volume= 1235 feet³
Find the distance between the two points rounding to the nearest tenth (if necessary).
(-3,-3) and (-6,1)
Answer:
5Step-by-step explanation:
[tex](-3,-3) =(x_1,y_1)\\ (-6,1)=(x_2,y_2)\\\\d = \sqrt{(x_2-x_1)^2 +(y_2-y_1)^2}\\ \\d = \sqrt{(-6-(-3))^2+(1-(-3))^2}\\ \\d = \sqrt{(-6+3)^2+(1+3)^2}\\ \\d = \sqrt{(-3)^2 +(4)^2}\\ \\d = \sqrt{9+16}\\ \\d = \sqrt{25}\\ \\d =5[/tex]
Show the steps to get full credit
3 (2x + 2) = 18 + 4(x - 5)
Answer:
[tex]x=-4[/tex]
Step-by-step explanation:
So we have the equation:
[tex]3(2x+2)=18+4(x-5)[/tex]
Distribute the left and the right:
[tex]3(2x)+3(2)=18+4(x)+4(-5)[/tex]
Simplify:
[tex]6x+6=18+4x-20[/tex]
Combine on the right:
[tex]6x+6=4x-2[/tex]
Subtract 4x from both sides. The right cancels:
[tex](6x+6)-4x=(4x-2)-4x\\2x+6=-2[/tex]
Subtract 6 from both sides. The left cancels:
[tex](2x+6)-6=(-2)-6\\2x=-8[/tex]
Divide both sides by 2:
[tex](2x)/2=(-8)/2\\x=-4[/tex]
Thus, the value of x is -4.
Answer:
x = -4
Step-by-step explanation:
3(2x + 2)=18 + 4(x - 5)
6x + 6= 18 +4x - 20
6x - 4x = -2-6
2x = -8
x = -4
i need help on this question ASAP tysm
1. Give two other names for AB
2. Name three points that are collinear.
3. Give another name for plane F.
4. Name a point that is not coplanar with A, B, and C.
5. Give another name for CD
6. Name three rays with endpoint B.
7. Name a pair of opposite rays.
8. Give another name for CD.
Answer:
1) The line AB can be renamed as BA and h
2 ) Points B, D and C are on the same line.
3) ABE is the another name given to the plane F.
4) E is another point which is not coplanar with ABC.
5) Another name for CD is g or DC
6) AB CB DB are rays with end points B
7) BC and BD are opposite rays .
8) CB or g is another name for CD
Step-by-step explanation:
1) The line AB can be renamed as BA and h
2 ) Collinear points are those points which lie on the same line. So points B, D and C are on the same line.
3) Points ABE define the plane F so ABE is the another name given to the plane F.
4) E is another point which is not coplanar with ABC. ( Coplanar points are those points which are situated on the same plane)So from the picture we see that point E lies far away from the plane of ABC.
5) Another name for CD is g or DC
6) AB CB DB are rays with end points B
7) BC and BD are opposite rays . ( A ray is a line which extends indefinitely . In simple words it has no end point. It may pass through certain points. It is represented by an arrow at one end.)
8) CB or g is another name for CD
4) A bank is offering 3.5% simple interest on a savings account. If you deposit
$12,000, how much interest will you earn in two years? *
A $420
B $840
C $4,200
O D $8,400
Answer:
B. $840
Step-by-step explanation:
Given that
Rate of simple interest = 3.5%
Principal amount = $12,000
Time = 2 year
To find:
Interest earned = ?
Solution:
Formula for Simple Interest is given as:
[tex]S.I. = \dfrac{PRT}{100}[/tex]
Where P is the principal amount
R is the annual Rate of interest
T is the time for which principal was invested.
Here, we are given that:
P = $12,000
R = 3.5%
T = 2 years
Putting all the values in the formula:
[tex]SI= \dfrac{12000\times 3.5 \times 2}{100}\\\Rightarrow SI= 12\times 35 \times 2\\\Rightarrow SI = \$840[/tex]
So, answer is:
B. $840
The sizes of houses in Kenton County are normally distributed with a mean of 1346
square feet with a standard deviation of 191 square feet. For a randomly selected
house in Kenton County, what is the probability the house size is:
a. over 1371 square feet?
O Z=
o probability =
b. under 1296 square feet?
O Z=
o probability =
c. between 773 and 1637 square feet?
o zl =
o Z2 =
o probability =
Note: Z-scores should be rounded to 2 decimal places & probabilities should be
rounded to 4 decimal places.
License
Points possible: 8
This is attempt 1 of 3.
Answer:
(a) The probability that the house size is over 1371 square feet is 0.4483.
(b) The probability that the house size is under 1296 square feet is 0.3974.
(c) The probability that the house size is between 773 and 1637 square feet is 0.9344.
Step-by-step explanation:
We are given that the sizes of houses in Kenton County are normally distributed with a mean of 1346 square feet with a standard deviation of 191 square feet.
Let X = the sizes of houses in Kenton County
The z-score probability distribution for the normal distribution is given by;
Z = [tex]\frac{X-\mu}{\sigma}[/tex] ~ N(0,1)
where, [tex]\mu[/tex] = mean size of houses = 1346 square feet
[tex]\sigma[/tex] = standard deviation = 191 square feet
(a) The probability that the house size is over 1371 square feet is given by = P(X > 1371 square feet)
P(X > 1371) = P( [tex]\frac{X-\mu}{\sigma}[/tex] > [tex]\frac{1371-1346}{191}[/tex] ) = P(Z > 0.13) = 1 - P(Z [tex]\leq[/tex] 0.13)
= 1 - 0.5517 = 0.4483
The above probability is calculated by looking at the value of x = 0.13 in the z table which has an area of 0.5517.
(b) The probability that the house size is under 1296 square feet is given by = P(X < 1296 square feet)
P(X < 1296) = P( [tex]\frac{X-\mu}{\sigma}[/tex] < [tex]\frac{1296-1346}{191}[/tex] ) = P(Z < -0.26) = 1 - P(Z [tex]\leq[/tex] 0.26)
= 1 - 0.6026 = 0.3974
The above probability is calculated by looking at the value of x = 0.26 in the z table which has an area of 0.6026.
(c) The probability that the house size is between 773 and 1637 square feet is given by = P(773 square feet < X < 1637 square feet)
P(773 < X < 1637) = P(X < 1637) - P(X [tex]\leq[/tex] 773)
P(X < 1637) = P( [tex]\frac{X-\mu}{\sigma}[/tex] < [tex]\frac{1637-1346}{191}[/tex] ) = P(Z < 1.52) = 0.9357
P(X [tex]\leq[/tex] 773) = P( [tex]\frac{X-\mu}{\sigma}[/tex] [tex]\leq[/tex] [tex]\frac{773-1346}{191}[/tex] ) = P(Z [tex]\leq[/tex] -3) = 1 - P(Z [tex]\leq[/tex] 3)
= 1 - 0.9987 = 0.0013
The above probabilities are calculated by looking at the value of x = 1.52 and x = 3 in the z table which has an area of 0.9357 and 0.9987 respectively.
Therefore, P(773 square feet < X < 1637 square feet) = 0.9357 - 0.0013 = 0.9344.
negatives of a social structure
How to find the area of a triangle
Answer:
A = 1/2bh
Step-by-step explanation:
The formula for an area of a triangle is always going to be one-half of the base times the height.
Help Me Please!!!! I don’t get it
Answer/Step-by-step explanation:
In mathematics, there's an order to follow in solving calculations like the problems given above. The acronym, PEDMAS illustrates or makes us remember which order to follow. The acronym stands for:
P - Parenthesis. Given any problem to solve, first, solve any operation within a parenthesis. That is, expressions that are grouped together.
E - Exponents. Next in line of priority order is to solve expressions involving exponents.
D - Division
M - Multiplication
A - Addition, and
S - Subtraction.
Now, solve each expression given in the correct order of operation using PEDMAS:
10 - 3³ ÷ 9
10 - 27 ÷ 9
10 - 3
= 7 (the order of operation is EDS = Exponent, Division, and lastly, Subtraction)
7² ÷ (4 + 3)
7² ÷ 7
49 ÷ 7
= 7 (order of operation = PED)
7 × 5 - 2²
7 × 5 - 4
35 - 4
= 31 (EMS)
(6 + 2²) × 10
(6 + 4) × 10
10 × 10
= 100 (PM)
3 × 6 + 8²
3 × 6 + 64
18 + 64
= 82 (EMA)
4³ - 10 ÷ 5
64 - 10 ÷ 5
64 - 2
= 32 (EDS)
3² × 2 - 9
9 × 2 - 9
18 - 9
= 9 (EMS)
9 × 3² - 8
9 × 9 - 8
81 - 8
= 73 (EMS)
6² ÷ 3 - 5
36 ÷ 3 - 5
12 - 5
= 7 (EDS)
(9 - 5)² ÷ 4
(4)² ÷ 4
16 ÷ 4
= 4 (PED)
3x + 5 = 2x + 15 solve for x
3x +5 = 2x +15
Subtract 5 from both sides:
3x = 2x + 10
Subtract 2x from both sides:
X = 10
Answer:
The answer is x=10.
3x-2x=15-5.
x=10.
What the measure of AOB?
Answer:
∠ AOB = 17.5°
Step-by-step explanation:
∠ AOB + 110 + ∠ COD = 180 ( sum of angles in straight line )
[tex]\frac{1}{3}[/tex] ∠ COD + 110 + ∠ COD = 180 ( subtract 110 from both sides )
[tex]\frac{4}{3}[/tex] ∠ COD = 70 ( multiply both sides by 3 to clear the fraction )
4 ∠ COD = 210 ( divide both sides by 4 )
∠ COD = 52.5°
Thus
∠ AOB = [tex]\frac{1}{3}[/tex] × 52.5° = 17.5°
Footwear manufacturing is projected to decrease output by 5% from 2009 to 2019. If footwear manufacturing had 1.5 million dollars of output in 2009, approximately how much output is expected in 2019?
Answer:
Output 2019 = 1.425 million dollar
Step-by-step explanation:
Given:
Output 2009 = 1.5 million dollar
Projected decrease output = 5%
Find:
Output 2019
Computation:
Output 2019 = Output 2009[100% - Projected decrease output]
Output 2019 = 1.5 [100% - 5%]
Output 2019 = 1.425 million dollar
PLEASE HELP ME HELP MY 7TH GRADER! The ratio of picnic tables to garbage cans in a new national park should be 8:3. The park design shows plans for picnic tables in a small campground? There are 40 small picnic tables in the campgrounds and 120 large picnic tables at the camp grounds.
Answer:
small: 40:15 large: 120:45 all: 160:60
Step-by-step explanation:
the way i did this was
40÷8=5 i did this because we now need to multiply 5×3=15 because thats how we get the number of trash cans.
now do the same thing for the other one
120÷8=15 → 15×3=45
an easy way to check ur answers is to divide the ratio that is given to you (8:3 so 8÷3) and see if it gets the same number as ur new ratio (40:15 so 40÷15)
Im in 8th grade and I hoped this helped :)
Heyy really need help on this question anyone would Iike to help ?
NEED HELP ASAP
Which angle pairs are supplementary? Check all that
apply.
<1 and <2
<4 and <3
<4 and <5
<7 and <5
<3 and <6
Answer:
∠4 and ∠3
∠4 and ∠5
∠3 and ∠6
Step-by-step explanation:
A pair of angles is said to be supplementary when the 2 angles add up to give 180°.
Two right angles add up to give 180°. Also, if we have two angles on a straight line, their sum = 180°, according to the linear pair property.
Thus, since m< 3 is given as 90°, m<4 = 90°.
m<4 + m<3 = 180°.
Therefore, <4 and <3 are supplementary.
<4 and <5, <3 and <6 are both linear pairs, therefore they are also supplementary.
what is the volume of a cone with a height of 27 cm and a radius of 13cm
Answer:
V≈4778.36cm³
Step-by-step explanation:
Answer:
1/3πr^2h.
1/3×3.142×13^2×27.
1/3×14336.946
4778.982cm^3