Answer:
a = 2, b = 4, c = 8
Step-by-step explanation:
Let:
First (smallest) number = a
Second number = b
Third number(Largest) = c
The sum of three numbers is 14.
a + b + c = 14...... Equation 1
The largest number is 4 times the smallest number.
c = 4a.... Equation 2
The sum of the smallest and twice the largest is 18.
a + 2c = 18........ Equation 3
We substitute Equation 2 in Equation 3
to solve for a
a + 2(4a) = 18
a + 8a = 18
9a = 18
a = 18/9
a = 2
Hence, the smallest number = 2
We find c
c = 4a.... Equation 2
c = 4(2)
c = 8
The largest number is 8
We find b
a + b + c = 14...... Equation 1
2 + b + 8 = 14
b + 10 = 14
b = 14 - 10
b = 4
What are all three numbers?
a = 2, b = 4, c = 8
the product of the sum and the difference of 8x and 4y
Answer:
4
Step-by-step explanation:
o dont really know. I dont understand the question
Find the slope of the line passing through the points (-4,7) and (2,-8)
Answer:
[tex]m=\frac{-5}{2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (-4, 7)
Point (2, -8)
Step 2: Find slope m
Substitute: [tex]m=\frac{-8-7}{2+4}[/tex]Subtract/Add: [tex]m=\frac{-15}{6}[/tex]Simplify: [tex]m=\frac{-5}{2}[/tex]On Monday, Deborah ran 3 2− 5miles and on Tuesday she ran 4 1− 5miles. How many miles did she run on these two days together?
Mixed fraction:
3 2/5 = 17/5
4 4/5 = 24/5
Miles she ran:
17/5 + 24/5
= 41/5 miles or 8.2 miles
find the missing side lengths. leave ur answers as radicals
Because of the 45 45 90 theorem since the hypotenuse is 9√2 x and y are both 9
Recidivism occurs when a person continues to commit criminal behavior even after having been punished. A prison official wants to estimate the proportion of cases of recidivism. Examining the records of 250 convicts, the official determines that there are 65 cases of recidivism. Construct a 99% confidence interval for the proportion of cases of recidivism.A. (0.331, 0.567)B. (0.188, 0.332)D. (0.289, 0.431)E. (0.069, 0.111)
Answer:
Option (C) [0.2574 , 0.2626]
Step-by-step explanation:
Of 250 convicts, there are 65 cases of recidivism.
- Construct a 99% confidence interval for the proportion of cases of recidivism.
This calls for first finding the proportion of cases of recidivism. This will be 65/250 = 0.26
You are 100% confident that the proportion of cases of recidivism is 0.26
You will be 99% confident that the recidivism cases are between:
99% of 0.26 = 0.2574
1% of 0.26 = 0.0026
[0.26 - 0.0026] , [0.26 + 0.0026] = [0.2574 , 0.2626]
This should be OPTION C, as that option is missing in the list of options.
Find the equation of the line.
The perpendicular bisector to the line segment with endpoints (-8,5) and (4,1).
The equation of the line is
y =
Answer:
y = 3x + 9
Step-by-step explanation:
The perpendicular bisector to the line segment is passing through the midpoint of the line segment. Coordinates of midpoint are ( [tex]\frac{x_{1} +x_{2} }{2}[/tex] , [tex]\frac{y_{1} +y_{2} }{2}[/tex] )
Formula of slope is m = [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
Slopes of perpendicular lines are opposite reciprocals. So, if AB ⊥ CD , then [tex]m_{AB}[/tex] × [tex]m_{CD}[/tex] = - 1
y - [tex]y_{1}[/tex] = m ( x - [tex]x_{1}[/tex] )
~~~~~~~~~~~
(- 8, 5)
(4, 1)
m = ( 5 - 1) / ( - 8 - 4) = - [tex]\frac{1}{3}[/tex]
Opposite reciprocal to ( - [tex]\frac{1}{3}[/tex] ) is 3
Coordinates of midpoint are ( - 2 , 3 )
y - 3 = 3 ( x + 2 )
y = 3x + 9
pls help and explain if u can
Answer:
Step-by-step explanation:
6 - 3(x + 1) = 18 ⇔ 3 - 3x = 18 ⇒ x = 5
y - 6 = 17 ⇒ y = 23
z - 3 = 4z ⇒ z = - 1
18 - 3(0) = 9w ⇒ w = 2
========================
I'm going to solve for you some another question you asked, I did not see the right answer... :)
There are two scenarios, because the expression under the module can be positive and can be negative: | 3x + 2| - 2 > 3 ⇔ | 3x + 2| > 5
(1). If (3x + 2) is positive then
3x + 2 > 5 ⇒ x > 3
(2). If (3x + 2) is negative then
- (3x + 2) > 5
- 3x - 2 > 5
- 3x > 7 ⇒ x < - [tex]\frac{7}{3}[/tex]
The final answer is x < - 2.3 or x > 1
At Jay Street Middle School, 25%of eighth graders wear glasses. If 100 students wear glasses how many eighth graders are there in total?
Answer:
400 total
Step-by-step explanation:
so 100 is 25% of 100% and 25%x4=100%
so do 100x4=400=100% of the middle schoolers
Need help please please it due today at 4:50pm really need help please
Answer:
70
Step-by-step explanation:
PLEASE HELP FAST AND CORRECT! 50 points!
Answer:
150 cubic centimeters
Step-by-step explanation:
1/6×X+95=4/5×X
Subtract X from both sides of the equation
Multiply/Combine like terms
95=19/30×X
Multiply by 30/19 and simply
30/19*95=X
Solve for X to get 150
1/6×150=25
4/5×150=120
Answer:
150 cubic centimeters
Step-by-step explanation:
1/6*x+95=4/5*x
Move stuff around
95=1/6+4/5*x
Multiply/Combine like terms
95=19/30*x
Multiply by 30/19 and then simplify
30/19*95=x
Solve for x
1/6*150=25
4/5*150=120
The population of a certain town is growing at a constant rate. Suppose the population is 1900 initially, and after 4 years the population is 2212. Which of these expresses the rate at which the population is increasing?
Answer:
The rate of change relates the change in population to the change in time. The population increased by 2212−1900=312 people over the four-years. To find the rate of change, divide the change in the number of people by the number of years.
2212−19004=3124
3124/4 =78
So the population increased by 78 people per year.
Because we are told that the population increased, we would expect the slope to be positive. This positive slope we calculated is therefore reasonable.
what are the possible values for the ones digits when a number is a multiple of 5
Answer:
0, 5
Step-by-step explanation:
5 * 0 = 0
5 * 1 = 5
5 * 2 = 10
5 * 3 = 15
5 * 4 = 20
5 * 5 = 25
etc.
Answer: 0, 5
Volume of 120 grams divided by 480cm3
Answer:
= 0.25 g/cm3
Step-by-step explanation:
this is called density the grams per volume.
density = mass
volume
= 120g
480cm3
= 0.25 g/cm3
Opps- THIS IS DUE IN 7 MINS HALPPPPP!!!! I FORGOT TO DO THIS AND NOW I NEED HALPPPP
ps. Giving 30 points if answer is given
Answer:
I believe the bottom one is true and the rest are false
Step-by-step explanation:
bottom one true
Answer:
it is the last one. it is a smaller distance from Drachten
Step-by-step explanation:
Which of the following could represent the unit side lengths of a right triangle
A 5,8,10
B 3,5,7
C 6,11,13
D 12,16,20
Answer:
Choice D
Step-by-step explanation:
If you check each one plugging in your info into this you can get [tex]a^{2} +b^{2} =c^{2}[/tex] that 12² + 16² will equal 400 which is the same as 20².
Answer:
Answer: D 12,16,20
Step-by-step explanation:
The Pythagora's Theorem
On a right triangle with side lengths of a,b, and c, being c the hypotenuse, of the longest side, it follows that:
[tex]a^2+b^2=c^2[/tex]
The set {a,b,c} is often called a Pythagorean Triple.
Testing every option:
A
[tex]5^2+8^2=10^2[/tex]
[tex]25+64 = 100[/tex]
89 = 100
Since equality is false, 5,8,10 are not the side lengths of a right triangle.
B
[tex]3^2+5^2=7^2[/tex]
[tex]9+25 = 49[/tex]
34 = 49
Since equality is false, 3,5,7 are not the side lengths of a right triangle.
C
[tex]6^2+11^2=13^2[/tex]
[tex]36+121 = 169[/tex]
157 = 169
Since equality is false, 6,11,13 are not the side lengths of a right triangle.
D
[tex]12^2+16^2=20^2[/tex]
[tex]144+256 = 400[/tex]
400 = 400
Since equality is true, 12,16,20 could be the side lengths of a right triangle.
Answer: D 12,16,20
Snow Dome Ski Resort has 65 inches of snow. It is currently snowing there at a rate of 1 inch per hour. Mt. Winterpark Ski Resort has 74 inches of snow. Currently it is snowing there at a rate of ½ inch per hour.
a) Write equations that show the amount of snow at each resort as a function of the number of hours of snow.
b) If the snow continues at this rate, when will Snow Dome have more snow than Mt. Winterpark? Show your solution process clearly.
Answer:
a) Equation for Snow Dome Ski Resort:
[tex]I_s = 65+t[/tex]
Equation for Mt. Winterpark Ski Resort:
[tex]I_m = 74+\frac{t}{2}[/tex]
b) After 19 hours, Snow dome will have more snow.
Step-by-step explanation:
Given that:
Initial snow at Snow Dome Ski Resort = 65 inches
Snowing rate at Snow Dome Ski Resort = 1 inch per hour
Initial snow at Mt. Winterpark Ski Resort = 74 inches
Initial snow at Mt. Winterpark Ski Resort = [tex]\frac{1}{2}[/tex] inch per hour
a) To write equations that show amount of snow at each resort.
Let the time in hours be represented by [tex]t[/tex].
Snow increased in [tex]t[/tex] hours by snowing at Snow Dome Ski Resort = [tex]1\times t = t[/tex] inches per hour
Snow increased in [tex]t[/tex] hours by snowing at Mt. Winterpark Ski Resort = [tex]\frac{1}{2}\times t = \frac{t}{2}[/tex] inches per hour
Equation for Snow Dome Ski Resort:
[tex]I_s = 65+t[/tex]
Equation for Mt. Winterpark Ski Resort:
[tex]I_m = 74+\frac{t}{2}[/tex]
b) Time at which Snow Dome has more snow.
Using the above equations, we can write the following inequality:
[tex]65+t>74+\dfrac{t}{2}\\\Rightarrow t-\dfrac{t}{2}>74-65\\\Rightarrow \dfrac{t}{2}>9\\\Rightarrow t>18\ hours[/tex]
After 18 hours have passed, they will have equal amount of snow.
After 19 hours, Snow dome will have more snow.
Please help due in 5 min
Duval went to bat 80 times during a baseball season. In the first half of the season he had 15 hits. In the second half of the season he had 9 hits. Which percent of the time did Duval get a hit during the entire season?
A. 24%
B. 30%
C. 44%
D. 60%
PLEASE show work
Answer:
B. 30 Percent
15+9=24
24/80=30 Percent
Step-by-step explanation:
What fraction is equivalent to the decimal and percent below? Enter your
answer in simplest form, using the slash (/) as the fraction bar.
Fraction Decimal Percent
? 0.50 50%
Answer here
SUBMIT
Answer: 1/2
Step-by-step explanation:
Which part of this graph shows a nonlinear relationship?
Distance from home
2.
Time
Answer:
thanks
Step-by-step explanation:
Mitchell walked 5/12 of a mile in 1/2 of an hour. At this rate, how far could Mitchell walk in 1 hour?
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[tex]2 \times \frac{1}{2} hour = 1hour \\ [/tex]
Thus ;
[tex]2 \times \frac{5}{12} \: \: miles = \frac{10}{12} \: \: miles = \frac{5}{6} \: \: miles \\ [/tex]
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I think the answer is 5/6
Whoever answers this first gets brainliest
Pls help ASAP
Answer:
Terminating goes to 3
Repeating goes to 4
Rational goes to 1
Irrational goes to 2
Answer:
1. Rational Number
2. Irrational Number
3. Terminating Decimal
4. Repeating Decimal
Step-by-step explanation:
A Rational Number can be written as a ratio of two integers. For example, as a simple fraction. That leaves us for the answer to the second one as irrational. To terminate means to end, so a terminating decimal is a decimal that does not go on forever. Whereas, a repeating decimal continues repeating forever (or indefinitely).
I would like to apologize in advance if any of these were incorrect.
please solve this i will give you brainliest
Answer:
1
Step-by-step explanation:
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what is the constant of porportionality between 9 and 4.5
Answer:
1/2
Step-by-step explanation:
Which equations has a solution of X=1.5
C(5,-5),D(5,3) what is the distance between the points
Please help it would mean alot!
Points and brinliast!
Answer:
Maybe because what about the other votes that were supposed to be left.
Step-by-step explanation:
What is the length of the line segment with endpoints (11, −4) and (−12, −4) ?
Answer:
23 units on the x axis
Step-by-step explanation:
HOPEFULLY MY LAST ONE!!!!
What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
1/3
Step-by-step explanation:
Rise/run
10/30
I hope this is right and that it helps.
Look at the long division problem shown on the right. Complete the division to determine what the remainder will be.
What is the remainder?
–10
–7
7
10
x + 4 StartLongDivisionSymbol 4 x Superscript 4 Baseline + 18 x cubed + 3 x squared minus 18 x + 15 EndLongDivisionSymbol. minus 4 x Superscript 4 Baseline + 16 x cubed to get a remainder of 0 x Superscript 4 Baseline + 2 x cubed + 3 x squared. minus 0 x Superscript 4 Baseline + 2 x cubed + 8 x squared to get a remainder of 0 x Superscript 4 Baseline + 0 x cubed minus 5 x squared minus 18 x. minus 0 x Superscript 4 Baseline + 0 x cubed minus 5 x squared minus 20 x to get a remainder of blank and a quotient of 4 x cubed + 2 x squared minus 5 x + c.
Answer:
The remainder is...
7
Hope this helps!!
Step-by-step explanation:
Answer: it’s c
Step-by-step explanation:
Use the information mZ1 = (3x + 30), m42 = (5x – 10°, and x = 20, and the theorems you have learned to
show that 1 || m.
Answer:
Step-by-step explanation:
First you have to do 2 + 2=