Answer:
Smallest number = 15
Second number = 177
Third number = 109
Step-by-step explanation:
Givens
Let the first number = x
Let the second number = 12x - 3
Let the third number = 7x + 4
Equation
x + 12x - 3 + 7x +4 = 301 Combine like terms
Solution
20x + 1 = 301 Subtract 1 from both sides
20x = 301 - 1 Combine
20x = 300 Divide by 20
x = 300/20
x = 15
What is mathematics
Mathematics includes the study of such topics as numbers, formulas and related structures, shapes and spaces in which they are contained, and quantities and their changes. There is no general consensus about its exact scope and its epistemological status.
Have a luvely day!
Answer:
Mathematics is the science and study of quality, structure, space, and change. Through abstraction and logical reasoning mathematics evolved from counting, calculation, measurement, and the systematic study of the shapes and motions of physical objects.
Step-by-step explanation:
It is a easy fun learning subject if it is studied with interest.
need help with this question
Answer:
z ≈ -0.92
Step-by-step explanation:
Put the numbers in place of the corresponding variables and do the arithmetic.
[tex]z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{pq}{n}}}=\dfrac{\dfrac{495}{1708}-0.30}{\sqrt{\dfrac{0.30(1-0.30)}{1708}}}=\dfrac{495-0.30(1708)}{\sqrt{1708(0.30)(0.70)}}=\dfrac{-17.4}{\sqrt{358.68}}\\\\\boxed{z\approx -0.92}[/tex]
Find the slope of a line with these two points:
(3, 4) and (-1, 2)
a. -1/2
b. -1/3
c. 1/2
d. 3/4
Answer: C
Step-by-step explanation:
slope = (y2 - y1) / (x2 - x1)
= (2 - 4) / (-1 - 3)
= -2 / -4
= 1/2
8.) What is the product of (x+8) and (x - 5) ?
a.
x2 + 3x - 40
b. x2 - 3x - 40
c. x2 + 11x - 40
d. x2 - 40
(x + 8)(x - 5)
= x (x - 5) + 8(x - 5)
= x² - 5x + 8x - 40
= x² + 3x - 40 (a)
. A recording studio charges an initial fee of $50 to record an album. Studio time costs an additional $75 per
hour.
Write a linear model that represents the total cost of
recording an album as a function of studio time (in
hours).
Is it less expensive to purchase 12 hours of recording
time at the studio or a $850 music software program
that you can use to record on your own computer?
Explain.
Answer:
f(h)=75h+50
software porgram for $850
Step-by-step explanation:
f(12)=75(12)+50
f(12)=950
which function has an inverse is a function
Answer:
No function to look at. Please add the functions
Step-by-step explanation:
What is an equation of the line that passes through the points (5, 5) and (-5, -7))?
Answer:
This is a problem of 2 equations with 2 unknowns.
A general equation of a line is y = mx + b, and in this case the unknowns I refer to are m and b.
Since 2 points on the line are given, I can plug one of those into the equation to come up with an equation in 1 unknown; then use the 2nd point to determine the last unknown.
So…using (5,2), 2 = 5m + b or b = 2 - 5m.
Now, using this value for b, I use the 2nd point (-5,7), as follows:
7 = -5m + 2 - 5m or -10m = 5, so…m = -1/2
If b = 2 - 5m, then b = 4 1/2
So the equation of the line Vikas is looking for is:
y = -1/2 x + 4 1/2
Step-by-step explanation:
For each interval , decide if the average rate change is positive or negative
Answer:
well im not sure what your asking try asking it in different words
Step-by-step explanation:
karina is showing her steps to solve the expression -26.7 divided by 1/3 in which step did she make an error
Shelby purchased a coat for $101.50 that was regularly priced at $145, not including tax. What percent did shelby save by purchasing the coat on sale?
Shelby save 30% by purchasing the coat on sale.
What is mean by Percentage?
A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
Given that;
Shelby purchased a coat for $101.50 that was regularly priced at $145.
Now,
Since, The regular price of coat = $145
And, The purchased coat = $101.50
Hence, Save money = $145 - $101.50
= $43.5
So, The percent of save money = $43.5 / $145 x 100
= 30%
Thus, Shelby save 30% by purchasing the coat on sale.
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You invested $27,200 and started a business selling vases. Supplies cost $11 per
vase and you are selling each vase for $28. Determine the number of vases, x, that
must be produced and sold to break even.
how to simplify x+3x
Find the rate per minute
Answer:
2.67 rounded to the nearest hundredth
Step-by-step explanation:
8/3 = 2.67 est gallons per minute
gallon÷minutes=rate per minute
Find the simple Interest earned . Principal : $ 456 Interest Rate: 3% Time : 3 years
Answer:
41.04 $
Step-by-step explanation:
We Know,
Simple Interest= Principle× Rate of Interest× Time
or, 456× 3/100× 3
or, 456× 0.03× 3
or, 41.04
Therefore, Simple Interest is 41.04 $
A tortoise moves at a speed of 34 inches in 11 seconds. What is its average speed in feet per hour?
Answer:
927.3 feet per hour
Step-by-step explanation:
first determine how many seconds are in one hour
there are 60 seconds in one minute and 60 minutes in one hour
so there are 60x60, or 3600 seconds in one hour
now you can create a proportion of inches/seconds = inches/seconds
let 'x' = inches per hour
34/11 = x/3600
cross-multiply to get:
11x = 3600x34
11x = 122,400
x = 122,400/11
x = 11,127.3 inches per hour
to determine how many feet per hour you must divide 11,127.3 inches by 12
this equals 927.3 feet per hour
5 more than a number is 21. Write it in an equation.
Answer:
5 + x = 21
Step-by-step explanation:
5 more than a number is 21. Write it in an equation.
5 + x = 21
-------------------------
Answer:
5+x=21
Step-by-step explanation:
A number 5 is the number added to the variable "X".
----> x+5=21. Hence “5 more than a number is 21. ” written as an algebraic expression is “x+5”.
So a number 5 more than x is 21 means that if you add x+5, you recive 21
Hope it helps!!
PLEASE CAN SOMEONE HELP ME ASAP!!!!Use your calculator to work out the answer to (24.7 – 15.9)2 ÷ 2.752 correct to 2 decimal places.
Compare your answer with the estimate answer 9.
Answer:
6.40
i dont know what it meant by Compare your answer with the estimate answer 9.
Step-by-step explanation:
8.8*2÷2.752=6.40
1. What is the 10th term of an arithmetic sequence
15,9,3,-6....?
Answer:
-42
i used a calculator and subtracted by 6. 6 times
Which shows one way to determine the factors of x3 + 4x2 + 5x + 20 by grouping?
x(x2 + 4) + 5(x2 + 4)
x2(x + 4) + 5(x + 4)
x2(x + 5) + 4(x + 5)
x(x2 + 5) + 4x(x2 + 5)
Answer:
x²(x+4)+5(x+4)
Step-by-step explanation:
(x³+4x²)+(5x+20)
x²(x+4)+5(x+4)
Answer:
b
Step-by-step explanation:
While mining, Jason found a large metal bar that weighed 15 pounds. Jason was also able to determine that the bar had 6 pounds of tin. What percent of the weight of the bar was tin? Round your answer to the nearest whole number if necessary.
Answer:
Actually, it would be 21% or (by rounding) 20% because it's a whole number.
Step-by-step explanation:
A network of roads connects locations T, O, W, N, and S as shown. How many different routes are there to travel from T to W along the given roads (line segments) without retracing any part of the route or going to any town more than once per route?
A network of roads is a blueprint of how each towns or cities are linked by a path or road. So that in the given question, the different routes to travel from T to W with respect to the given conditions are:
i. TNW
ii. TSW
iii. TOW
iv. TOSW
v. TNSW
vi. TNSOW
vii. TOSNW
viii. TSNW
ix. TSOW
There are nine (9) different routes from T to W.
A route is either a path or road that links or connects two or more villages, cities or towns. Thus, a person can travel or be conveyed from one town to the other, or city (village) to another, depending of the road network. Road network is the cobweb of connecting roads among cities.
Considering the network of roads in the given diagram and the conditions for travelling from T to W, then the number of routes is nine. And these routes are:
TNWTSWTOWTOSWTNSWTNSOWTOSNWTSOWTSNWGiven that no part of the route should be retraced or going to any town more than once per route.
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Please help me solve this
H(x)=2/3x-1
H(-3)
Answer:
-3
Step-by-step explanation:
So they are essentially giving you x, so you replace it with -3.
H(-3) = 2/3 (-3) -1
2/3 × -3 = -2
-2 - 1 = -3
H(-3) = -3 ⬅This is a true statement.
Hope this helps :)
What's the size of each exterior angle if each interior angle of a polygon is 108°
Answer:
5 sided
Step-by-step explanation:
An interior angle of a regular polygon has a measure of 108°. It is a 5 sided polygon known as pentagon.
Each interior angle of the polygon is 108 degrees, so each exterior angle of the polygon is 180-108 = 72 degrees.
The table represents an exponential function.
A 2-column table has 4 rows. The first column is labeled x with entries 1, 2, 3, 4. The second column is labeled y with entries 0.25, 0.125, 0.0625, 0.03125.
What is the multiplicative rate of change of the function?
0.2
0.25
0.5
0.75
Answer:0.5 or C
Step-by-step explanation:
Find equivalent expressions for 4x+8−7+2x−3x−1.
3x
you just add everything
Maxine deposits $1,000 into an account that pays 4.5% interest, compounded daily. What is her
balance at the end of six years?
Answer:
$1309.94
Step-by-step explanation:
The formula for the account value with interest compounded is ...
A = P(1 +r/n)^(nt)
where P is the principal invested at rate r compounded n times per year for t years.
Using P=1000, r=0.045, n=365, t=6, we find the account balance to be ...
A = 1000(1 +0.045/365)^(365·6) ≈ 1309.94
Maxine's balance will be $1309.94 at the end of 6 years.
_____
Additional comment
In most 6-year periods, there will be two leap years. In a leap year, n=366 instead of 365. The difference between the effective standard year rate and the effective leap year rate can be seen in the 8th decimal place of the multiplier. The numbers in this problem only have 6 significant figures, so there is no need to try to account for leap years.
A proper accounting for the leap years would add just under 0.002 cents to the balance for a $1000 investment. If the original deposit were $1,000,000, then a proper leap-year accounting would add 2¢ to the balance after 6 years.
given m=a+b+c which equation represents c in terms of the other variables?
Answer:
m - a - b = c
Step-by-step explanation:
m = a + b + c
-a = -a Add -a from both sides
m - a = b + c
-b = -b Add -b from both sides
m - a - b = c
Suppose that a ball is rolling down a ramp. The distance traveled by the ball is given by the function s(t)=6t2, where t is the time, in seconds, after the ball is released, and s(t) is measured in feet. Find the ball's average velocity in each of the following time intervals.
a.
Answer:
12
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Mais Family Drinks a total of 15 gallons of milk every 3 weeks. How many gallons of milk does the family drink per week?
Answer:
5 per week
Step-by-step explanation:
5 + 5 = 10
Guided Practice
Write y = −4x^2 − 24x − 34 in vertex form.
You may refer back to your notes while solving this problem.
Step 1
Find the equation of the line of symmetry and the x-coordinate of the vertex.
Type your answer and then click or tap Done.
The axis of symmetry is the line x = Fill in the blank text field 1
.
Answer:
I think it is 4.25
Step-by-step explanation:
I multiplied 4 and 4 to get 16 and subtracted that
