Answer:
In the given expression, 10x + 8, the numerical coefficient is 10 and the literal coefficient is x. The number 8 is not considered as a coefficient since the value is a constant.
Answer: 10 + 8
Step-by-step explanation: If you want to find a coefficient you need to only remove the variable from the expression. For example what is the coefficient of 4x its 4. Please mark as the brainliest!
You are given $893 in one, five, and ten dollar bills. There are 165 bills. There are twice as many five dollar bills as there are ones and tens combined. How many bills of each type are there?
Given:
You are given $893 in one, five, and ten dollar bills.
There are 165 bills.
There are twice as many five dollar bills as there are ones and tens combined.
To find:
How many bills of each type are there?
Solution:
Consider the number of bills of one dollars, five dollars and ten dollars are x, y and z respectively.
According to the question,
Number of bills : [tex]x+y+z=165[/tex] ...(1)
Total amount : [tex]1x+5y+10z=893[/tex] ...(2)
Condition : [tex]y=2(x+z)[/tex] ...(3)
Equation (3) can be written as
[tex]\dfrac{y}{2}=x+z[/tex] ...(4)
Substituting [tex]x+z=\dfrac{y}{2}[/tex] in (1), we get
[tex]\dfrac{y}{2}+y=165[/tex]
[tex]\dfrac{3y}{2}=165[/tex]
[tex]3y=330[/tex]
[tex]y=110[/tex]
Substituting y=110 in (4), we get
[tex]x+z=\dfrac{165}{2}[/tex]
[tex]x+z=55[/tex]
[tex]x=55-z[/tex] ...(5)
Substituting y=110 and x=55-z in (2), we get
[tex](55-z)+5(110)+10z=893[/tex]
[tex]55-z+550+10z=893[/tex]
[tex]9z+605=893[/tex]
[tex]9z=893-605[/tex]
[tex]9z=288[/tex]
Dividing both sides by 9, we get
[tex]z=32[/tex]
Substituting z=32 in (5), we get
[tex]x=55-32[/tex]
[tex]x=23[/tex]
Therefore,
One dollar bills = 23
Five dollars bills= 110
Ten dollars bills = 32
The living room of Ann's house is a square with an area of 121 square feet. What is the length of each side of the foyer
Answer:
30.25
Step-by-step explanation:
121 divided by 4 is 30.25
Two people start walking at the same time in the same direction. One person walks at 8 mph and the other
person walks at 3 mph. In how many hours will they be 1.25 miles apart?
Answer:
0.25hoursStep-by-step explanation:
Data
speed v1=8mph
speed v2=3mph
distance= 1.25
time t=?
speed= distance/time
distance=speed*time
1.25=8*t-3*t
1.25=8t-3t
1.25=5t
t=1.25/5
t=0.25hours
In minutes it is 15min
Help me with this question pleasee
Answer:
√23 = a
Step-by-step explanation:
/ab/²= /ac/²+/bc/² (Pythagoras theorem)
12² = a² +11²
144 = a² + 121
144 - 121 = a²
23 = a²
√23 = a
Whatbis the slope of a line that is perpendicular to the line y= 2x-6? A. -2
B. 2 C. 1/6 D. -1/2
Answer:
D. -1/2
Step-by-step explanation:
When a line is perpendicular to another line the slope will be the exact opposite. For example line A = y = 3x + 5 the line perpendicular to it will be -1/3x.
So -1/2 is the slope of your perpendicular line.
what is 8 times 0.9 equal
Answer:
7.2
Step-by-step explanation:
When five times a number is decreased by 9, the result is 11. What is the number?
Answer
4
Step-by-step explanation:
Add 9 to 11, then divide that by 5.
Answer:
4
Step-by-step explanation:
work backwards 11+9 is 20. Divide 20 by 5 = 4
what is the answer for 14x divided by 7x
Answer:
2x
Step-by-step explanation:
You're dividing 14 multiplied by a number by 7 multiplied by a number. So you'd get 2 multiplied by a number.
Help ill give brainliest
Lily begins solving the equation 4(x – 1) – x = 3(x + 5) – 11. Her work is shown below.
4(x – 1) – x = 3(x + 5) – 11
4x – 4 – x = 3x + 15 – 11
3x – 4 = 3x + 4
How can her partial solution be interpreted?
A. The equation has one solution: x = 0.
B. The equation has one solution: x = 8.
C. The equation has no solution.
D. The equation has infinite solutions.
Answer:
C. no solution
Step-by-step explanation:
3x – 4 = 3x + 4
3x-3x=4+4
0=8
which is not possible.
So, it has no solutions.
What number must be added to 101 to produce a number equal to the product of 101 x 21
Answer:
2020
Step-by-step explanation:
101 • 21 = 2121
2121 - 101 = 2020
I need help nowwwwww !!!!!????
you should just have to times the yards by three like the second one is 12
Blood pressure: High blood pressure has been identified as a risk factor for heart attacks and strokes. The proportion of U.S. adults with high blood pressure is 0.4. A sample of 39 U.S. adults is chosen. Use the TI-84 Plus Calculator as needed. Round the answer to at least four decimal places. Part: 0 / 60 of 6 Parts Complete Part 1 of 6 Is it appropriate to use the normal approximation to find the probability that more than 43% of the people in the sample have high blood pressure? It ▼(Choose one) appropriate to use the normal curve, since =np ▼(Choose one)10 and =n−1p ▼(Choose one) 10.
Answer:
Yes it appropriate to use the normal approximation to find the probability that more than 43% of the people in the sample have high blood pressure
Step-by-step explanation:
From the question we are told that
The population proportion is p=0.4
The sample size is n = 39
The sample proportion is [tex]\^ p = 0.43[/tex]
Generally for normal approximation to be used
[tex]np > 10[/tex]
so np = 39 * 0.4 = 15.6 > 10
and [tex]n(1- p) > 10[/tex]
so n(1-p ) = 39(1-0.4) = 23.4 >10
Given that the both condition is meet it mean that it appropriate to use the normal approximation to find the probability that more than 43% of the people in the sample have high blood pressure
Sharee and her two sisters ate 3 5 of a pizza. How much of the pizza did each girl have? A) 1 3 B) 1 5 C) 2 15 D) 3 10
Sharee and her two sisters ate 3 /5 of a pizza. How much of the pizza did each girl have? A) 1 /3 B) 1/ 5 C) 2 /15 D) 3 /10
Answer:
B) 1/ 5
Step-by-step explanation:
Number of persons = Sharee and her two sisters = 3 persons
Quantity of pizza eaten = 3/5
Each person ate:
3 persons = 3/5 pizza
1 person = x pizza
Cross Multiply
3 × x = 3/5 × 1
x = 3/5 × 1/3
x = 3/5 ÷ 3
x = 3/5 × 1/3
x = 1/5
Hence, each person ate 1/5 pizza.
the half life of c14 is 5730 years. Suppose that wood found at an archeological excavation site contains about 35% as much C14 as does living plant material. Determine when the wood was cut
Answer:
The wood was cut approximately 8679 years ago.
Step-by-step explanation:
At first we assume that examination occured in 2020. The decay of radioactive isotopes are represented by the following ordinary differential equation:
[tex]\frac{dm}{dt} = -\frac{m}{\tau}[/tex] (Eq. 1)
Where:
[tex]\frac{dm}{dt}[/tex] - First derivative of mass in time, measured in miligrams per year.
[tex]\tau[/tex] - Time constant, measured in years.
[tex]m[/tex] - Mass of the radioactive isotope, measured in miligrams.
Now we obtain the solution of this differential equation:
[tex]\int {\frac{dm}{m} } = -\frac{1}{\tau}\int dt[/tex]
[tex]\ln m = -\frac{1}{\tau} + C[/tex]
[tex]m(t) = m_{o}\cdot e^{-\frac{t}{\tau} }[/tex] (Eq. 2)
Where:
[tex]m_{o}[/tex] - Initial mass of isotope, measured in miligrams.
[tex]t[/tex] - Time, measured in years.
And time is cleared within the equation:
[tex]t = -\tau \cdot \ln \left[\frac{m(t)}{m_{o}} \right][/tex]
Then, time constant can be found as a function of half-life:
[tex]\tau = \frac{t_{1/2}}{\ln 2}[/tex] (Eq. 3)
If we know that [tex]t_{1/2} = 5730\,yr[/tex] and [tex]\frac{m(t)}{m_{o}} = 0.35[/tex], then:
[tex]\tau = \frac{5730\,yr}{\ln 2}[/tex]
[tex]\tau \approx 8266.643\,yr[/tex]
[tex]t = -(8266.643\,yr)\cdot \ln 0.35[/tex]
[tex]t \approx 8678.505\,yr[/tex]
The wood was cut approximately 8679 years ago.
In an attempt to improve brand recognition, the marketing department of AC Sports is
creating conical paper water cups with their brand printed around the surface of the
cup. The cups will be sent to athletic departments for free. About how much space do
the graphic artists working on the design have to work with if the cup will have a
diameter of 2.5 inches and a height of 3.5 inches?
Answer:
about 37.31 inches of space
Step-by-step explanation:
In this case, you would need to find the area of a cylinder with these dimensions.
Formula: 2πrh+2πr²
The r is the radius, and since the diameter in this situation would be 2.5, the radius would be 1.25.
2π(1.25)(3.5)+2π(1.25)²
2π4.375+2π1.5625
8.75π+3.125π
37.3064128
about 37.31 inches of space
Which statement describes how to geometrically divide a complex number, z, by a second complex number, w?
O Scale z by the modulus of w, then rotate clockwise by the argument of w.
O Scale z by the modulus of w, then rotate counterclockwise by the argument of w.
O Scale z by the reciprocal of the modulus of w, then rotate clockwise by the argument of w.
O Scale z by the reciprocal of the modulus of w, then rotate counterclockwise by the argument of w.
Answer: C
Step-by-step explanation:
I just took the quiz and I got it right
Statement describes how to geometrically divide a complex number z by a second complex number w is Option (C) Scale z by the reciprocal of the modulus of w, then rotate clockwise by the argument of w.
What is Complex number?In mathematics, a complex number is an element of a number system that contains the real numbers and a specific element denoted i, called the imaginary unit
What is Modulus of a complex number?Modulus of the complex number is the distance of the point on the argand plane representing the complex number z from the origin
Given,
Complex number z divides by a second complex number w
To divide a complex number a complex number then multiply the conjugate with the numerator and the denominator of the complex fraction
From the given statements Scale of z by the reciprocal of the modulus of w, then rotate clockwise by the argument of w
Hence, Statement describes how to geometrically divide a complex number z by a second complex number w is Option (C) Scale z by the reciprocal of the modulus of w, then rotate clockwise by the argument of w.
Learn more about Complex number and Modulus of a complex number here
https://brainly.com/question/19554199
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Perform the indicated operation
3/4 divided by 1/3
Answer:
2 1/4
Step-by-step explanation:
3/4 ÷ 1/3 = ?
(to divide fractions faster you flip the second fraction so:)
3/4 x 3/1 = 2 1/4
Calculate.
(2x105)(4.3x109)
Write your answer in scientific notation.
Answer:
9.8427x10⁴
Step-by-step explanation:
Answer:
98427x^2
9.8427x10^4
Step-by-step explanation:
In a certain state's lottery, 45 balls numbered 1 through 45 are placed in a machine and eight of them are drawn at random. If the eight numbers drawn match the numbers that a player had chosen, the player wins $1,000,000. In this lottery, the order in which the numbers are drawn does not matter.
Compute the probability that you win the million-dollar prize if you purchase a single lottery ticket. Write your answer as a reduced fraction.
P
(win) =
A single lottery ticket costs $2. Compute the Expected Value, to the state, if 10,000 lottery tickets are sold. Round your answer to the nearest dollar.
Answer: $
A single lottery ticket costs $2. Compute the Expected Value, to you, if you purchase 10,000 lottery tickets. Round your answer to the nearest dollar.
Answer: $
Step-by-step explanation:
The order of the numbers doesn't matter, so we'll use combinations instead of permutations. The number of combinations is:
₄₅C₈ = 215,553,195
So the probability of a ticket having the winning combination is 1 / 215,553,195.
The expected value to the state is:
E(X) = 10,000 (1) ($2) + 10,000 (1 / 215,553,195) (-$1,000,000)
E(X) = $19954
The expected value to you is:
E(X) = 10,000 (1) (-$2) + 10,000 (1 / 215,553,195) ($1,000,000)
E(X) = -$19954
Number 10 plzz???????
w(t) = 3t – 1; t = 5
Need help i will mark you brainliest
The Tigers’ first play when they had possession of the ball went for -3 yards. Did the Tigers gain or lose yards on that play? How many yards did they gain or lose?
Answer:
вы молодец и увас всё получилось
Whats 27.16 - 3.1 x 1.4 evaluated?
PLEASE HELP
Answer:
22.82
Step-by-step explanation:
can u plz mark me as brainliest??
Answer:
22.82
Step-by-step explanation:
3.1*1.4 = 4.34
27.16-4.34 = 22.82
[edited, I messed up the order of operations before, sorry]
X+ 2 = 5 and y-3 = 2
Answer:
x=3
y=5
because 5-2=3 so 3 is x
and 2+3 is 5 so y is 5
Answer:
X = 3, Y =
Step-by-step explanation:
This is because 2+3=5,
and5-3=2
PLEASE HELP!!! Chloe is working two summer jobs, landscaping and clearing tables. She must work no less than 12 hours altogether between both jobs in a given week. Write an inequality that would represent the possible values for the number of hours landscaping, l and the number of hours clearing tables, c, that Chloe can work in a given week.
Answer:
got u homie
Step-by-step explanation:
Answer:
l +c _> 12
Step-by-step explanation:
Which expression is the coefficient of the n term -1
Answer:
C. -2n² - n + 5
Step-by-step explanation:
In expression C, the coefficient of the n term is -1;
The expression in choice C is given as:
-2n² - n + 5
The coefficient is the number before a variable;
For n², the coefficient is -2
for n, the coefficient is -1
Simplify (-4/5)divided by (3/-2). -8/15 -6/5 6/5 8/15
Answer:
8/15
Step-by-step explanation:
-4/5 ÷ -3/2
Copy dot flip
-4/5 * -2/3
Multiply the numerators
8
Multiply the denominators
15
Put the numerator over the denominator
8/15
Answer: 8/15
Step-by-step explanation: (-4/5)divided by (3/-2) is 8/15.
Sharon went bowling with her friends. She paid $3 to rent
her shoes and then $3.75 for each game (x) of bowling. She
spent a total of $18. How many games did she bowl?
WRITE YOUR EQUATION:
SOLVE:
SOLUTION:
Answer:
3 + 3.75x=18
subtract 3 from both sides
3.75x=15
divide by 3.75 on both sides
x=4
Step-by-step explanation:
rewrite the equation 10=1,000 with an exponet that makes it true .
Answer:
[tex]10^3=1,000[/tex]
Step-by-step explanation:
The expression 10=1,000 is obviously false, but we can make it true by rewriting it with an exponent.
Note that 1,000=10*10*10
Or, equivalently:
[tex]1,000=10^3[/tex]
Thus, if we modify the original false expression and add an exponent 3 to the base 10, then it would be true:
Original:
10=1,000 => false
Rewritten true:
[tex]\boxed{10^3=1,000}[/tex]