Answer:
Addition property
Adding 5 to the each side makes it
x -5 + 5 = 15 +5
x = 20
If a, b, and c are solutions to the
equation 3x3 – 25x2 - 50x = 0 and
a < b < c, evaluate 10c – 6a.
Answer:
[tex]\displaystyle 10c - 6a = 110[/tex]
Step-by-step explanation:
We are given the equation:
[tex]\displaystyle 3x^3 - 25x^2 -50x = 0[/tex]
Where a, b, and c are solutions to the equation and where a < b < c, we want to determine the value of 10c - 6a.
To find the solutions of the equation, we can factor:
[tex]\displaystyle \begin{aligned} 3x^3 - 25x^2 -50x & = 0 \\ \\ x(3x^2 - 25x -50) & = 0 \\ \\ x(3x+5)(x-10) & = 0 \end{aligned}[/tex]
From the Zero Product Property:
[tex]\displaystyle x = 0 \text{ or } 3x + 5 = 0 \text{ or } x - 10 = 0[/tex]
Solve for each case:
[tex]\displaystyle x = 0 \text{ or } x = -\frac{5}{3} \text{ or } x = 10[/tex]
We can see that -5/3 < 0 < 10. Thus, a = -5/3, b = 0, and c = 10.
Therefore:
[tex]\displaystyle \begin{aligned} 10c - 6a & = 10(10) - 6\left(-\frac{5}{3}\right) \\ \\ &= 100 + 10 \\ \\ & = 110 \end{aligned}[/tex]
Billy has 1 gallon of paint he’s going to pour it into a paint tray that measures 10 inches wide 14 inches long and 4 cm deep which of the following scenarios would happen
Answer:
Lets see if the gallon fill the paint tray or not.
For that purpose we need to find out the volume of the paint tray and compare it with the volume of the gallon.
Given:
Length = 14 inches
Width = 10 inches
Depth = 4 cm = 1.57 inches
Volume = length x width x depth
Volume = 14 x 10 x 1.57
= 220.47 inches cube
Volume of Gallon = 231 inches cube
Comparing the two volumes:
231 inches cube - 220.47 inches cube = 10.52 inches cube
Hence,
The paint will not fill the tray by 10.53 in3.
Step-by-step explanation:
[tex]2\sqrt} 5+3\sqrt} 75[/tex]
Karla buys a hat and gloves. The price of the hat is 4 times as much as the gloves. The hat costs $8.00. What is the ratio of the cost of the gloves to the total cost for both items? Please write your answer with a colon.
Answer:
the ratio would be 2:10 or 1:5 (simplified)
Match the function with the graph
D.
It's an upside-down ln(x) function that's been shifted 3 units to the left.
Alex is 22 years older than Lana. Four years ago Lana’s age was one-half of Alex’s current age. How old was Alex four years ago?
Answer:
33
Step-by-step explanation
22 divided by 2 is 11
it says four years ago so add 11 and 4 and that equals 15
she is 15 right now. then add 22 which is 37 and subtract 4 which your answer would be 33
22 divided by 2 is 11
it says four years ago so add 11 and 4 and that equals 15
she is 15 right now. then add 22 which is 37 and subtract 4 which your answer would be 33
33 is the answer.
just do a d and g .....
Step-by-step explanation:
d ) 1/11
→ 0.090
g) 1/22
→ 0.045
hope this answer helps you dear!
Answer:
a) 1/9 = 0.111
d) 1/11 = 0.090
g) 1/22 = 0.045
What is an equation of the line that passes through the points (4,4) and
(8, 1)?
Answer:
y = -3/4x + 7
Step-by-step explanation:
ok first u need to find the slope so use the slope equation for this (x2 - x1 over y2 - y1) so
1 - 4 = -3
8 - 4 4
so the m is -3/4
now you need to find the y intercept so pick one of the points (let's do (8, 1)) and plug that into the slope intercept form (y = mx+b)
so 1 = -3/4(8) + b
1 = -6 + b
+ 6 + 6
b = 7
so the equation is y = -3/4x + 7. hope this helps
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Explanation:
Candice scored 1/5 of the total points. So we multiply 1/5 with 60. This is the same as dividing by 5.
60*(1/5) = 60/5 = 12
Candice scored 12 points.
Answer:
12
Step-by-step explanation:
60 multiplied by 1/5
=60/5
=12
hope This Helps :)
Hello, I’m a middle grader and I need some help with this problem 6(x+5)=42
[tex]6(x + 5) = 42 \\ = > 6x + 30 = 42 \\ = > 6x = 42 - 30 \\ = > 6x = 12 \\ = > x = \frac{12}{6} \\ = > x = 2[/tex]
Answer:2
HELP HELP HELP!!!!!
Write a system of equations to describe the situation below, solve using elimination, and fill in the blanks.
The box office at a theater is selling tickets for a series of rock concerts. So far, they have sold 98 balcony tickets and 26 general admission floor tickets for Friday's show, for a total of $4,524 in receipts. For Saturday's show, 74 balcony tickets and 96 general admission floor tickets have been sold, equaling $5,478 in receipts. How much does each ticket cost?
The box office sold 360 tickets to a concert at
the college. The total receipts were $4,170. General
admission tickets cost $15 and student tickets cost $10.
How many of each kind of ticket was sold?
Answer: 114 general admission tickets and 246 student tickets were sold.
Step-by-step explanation:
Let x represent the number of general admission tickets that were sold.
Let y represent the number of student tickets that were sold.
The box office sold 360 tickets to a concert at the college. It means that
x + y = 360
General admission tickets cost $15 and student tickets cost $10. The total receipts were $4170. It means that
15x + 10y = 4170- - - - - - - - -1
I think of a number, multiply it by three, and add four. I get twenty two.
a)
Using the statement above, form an equation.
Use the letter 'X' for the unknown number.
b)
Solve the equation.
Answer:
x = 6
Step-by-step explanation:
let the number be x , then
3x + 4 = 22 ( subtract 4 from both sides )
3x = 18 ( divide both sides by 3 )
x = 6
The unknown number is 6
Answer:
a). x3 + 4 = 22
b). x3 + 4 = 22
x3 = 18
x = 6
can 790/69 be simplified
Answer:
No, it cannot be simplified.
Explanation
The numerator and denominator of the fraction are coprime numbers (no common prime factors, GCF = 1).
The fraction cannot be reduced (simplified): irreducible fraction.
Fraction 790/69 is a positive improper fraction (numerator > denominator).
Could someone please help
Answer:
the second and the forth
Kilometers Walked for Charity
12
3
3
6 7 9 9
13
1
1
4 5
5
14
0
0 2
3
3
3
8 8 9
15
2
2
2 2
2
2
3 5 5 7
16
4
5
5 9
ON
17
3
5
Key: 123 means 12.3
a. Describe how to find the range of the data set.
b. Find the range.
Answer:what’s the lowest value?
what’s the highest value?
there is your range
Step-by-step explanation:
find the unknown angle
Answer:
x = 35 degrees
y = 70 degrees
z = 75 degrees
Step-by-step explanation:
X will equal 35 degrees because that angle is vertical to the 35 degree angle, which means they are equal.
To find the measure of angle z, subtract the outside angle from 180:
180 - 105 = 75
To find the measure of angle y, add the two other known angles of the triangle and subtract that from 180:
35 + 75 = 110
180 - 110 = 70
Answer:
x = 35, y=75, z=70
Step-by-step explanation:
I dont know which angle you wanted exactly. However x is equal to 35 (I'm sorry, I forgot the name of the rule that makes that way, I assume it's in your notes if this is for a class). Z is equal to 75 because a straight line(the one on the bottom) is equal to 180 degrees. Since you have an angle on that line already (105), just subtract 180-105 to get 75.
Lastly, since we have x and z now, we can add them and subtract from 180(the degree in a triangle. So 35+75 = 110 and 180-110 = 70.
What is 8 more than r
Answer:
r+8
Step-by-step explanation:
it's the term r and an extra 8
100 pts for an answer. one day jasmine earned $25.20 for 6 hours of work. Another day jasmine earned 16.80 for 4 hours of work. Which funcrion show how much jasmine earns (c) for working (h) hours ?A. c=6h-16.80 B.c=4h+0.2 C. c=4.20h D. c=4h+1.2
Answer:
(C) c = 4.20hStep-by-step explanation:
Use the given points to find the hourly pay:
$25.20/6 = $4.20$16.80/4 = $4.20Correct function to show the payment for h hours is:
c = 4.20hNo initial cost
Hourly pay
16.8/4$4.20So Equation is
C=4.20hWhat is the mean of the data set excluding the outlier? 68, 63, 67, 66, 65, 87, 69, 61, 86, 82, 28. HELP PLEASE
Answer:
71.4
Step-by-step explanation:
r ÷ 8 + q× 3
Please I need your help now please
Answer:
r/8+3q
Explanation:
There is no value given to this equation so out final answer is a simplified version of the equation
2×x^3-3×(m+1)×x^2+6×(m+1)^2×x+1 hình nào mô tả dạng đồ thị của hàm số trên
Answer:
the answer is m²
Step-by-step explanation:
2x²=3⁷x⁹xw.2=m²
please i need this for hwk
[tex]\frac{3n+5}{3n}-\frac{n}{n-1}[/tex]
refer to the above attachment ↑
help mee pleasee .·´¯`(>▂<)´¯`·.
Answer:
1/8 hourStep-by-step explanation:
We need to find how much longer did Steve run than walked.
To find the answer we need to find the difference in times, subtract the time he walked from the time he ran.
7/8 - 3/4 = 7/8 - 6/8 = 1/8 hour2 4/15 as a single fraction greater than one
Answer:
34/15
Step-by-step explanation:
We want to change the mixed number to an improper fraction
2 4/15
(15*2 + 4)/15
(30+4)/15
34/15
Answer:
34/15
Step-by-step explanation:
i dont know
Find all real square roots of 9. TE
Answer:
3
Step-by-step explanation:
The square root of 9 is 3
QUICKK Plz help and explain
Answer:
24
Step-by-step explanation:
which is the graph of the linear inequality 2x - 3y < 12
Hope this is the answer you need.
JEN PURCHASED THE ITEM SHOWN IN THE TABLE IN THE CITY IN THE SALES TAX RATE IS 7.15 IN ANOTHER CITY THE SALES TAX RATE IS 6.35 HOW MUCH MORE IS SHE SPENDING IF SHE PURCHASED THE ITEM==EN IN THE CITY WHERE SHE LIVES
Answer:
First, calculate the amount of sales tax by multiply the percent tax times the total cost:
0.07×600 =42
Next, add the amount of tax to the price of the computer:
600+42=642
$0.45792 more is she spending if she purchases the items in the city where she lives.
Given that, Jen purchased the items shown on the table. In the city she lives in, the sales tax rate is 7.15%. In another city, the sales tax rate is 6.35%.
We need to find out how much more is she spending if she purchases the items in the city where she lives.
What is the sales tax?A sales tax is a consumption tax imposed by the government on the sale of goods and services.
Now, the cost of the goods she purchased=11.99+35.50+6.75+3.00
=$57.24
The sales tax rate is 7.15%.
So, the sales tax=7.15% of 57.24
=$4.09266
The sales tax rate is 6.35%.
So, the sales tax=6.35% of 57.24
=$3.63474
Now, 4.09266-3.63474=$0.45792
Therefore, $0.45792 more is she spending if she purchases the items in the city where she lives.
To learn more about the sales tax visit:
https://brainly.com/question/27092799.
#SPJ2
Please help with this question with steps I'll give brainliest!
Thanks
Answer:
∠ 1,3,5,7 = 32°
∠2,4,6,8,= 148°
Step-by-step explanation:
From the figure attached,
AB and CD are two parallel lines and another transverse line is intersecting these line at two distinct points.
Since, m∠1 = 32°,
∠1 and ∠4 are supplementary angles [Linear pair of angles]
m∠1 + m∠4 = 180°
32° + m∠4 = 180°
m∠4 = 180° - 32°
m∠4 = 148°
therefore,
m∠1,3,5,7 = 32°
m∠2,4,6,8,= 148°
choose the correct solution and graph for the inequality "-x/3<=6"
Answer:
Step-by-step explanation:
To solve this inequality, we have to find x (or make x the subject of the inequality:
since ⁻ˣ/₃ ≤ 6 [multiply both sides by 3]
- x ≤ 18 [multiply both sides by -1; this flips the inequality sign]
x ≥ - 18 [this is the solution]To graph the inequality, draw the line x = - 18 with a solid line, and then shade the region that is x > -18.
We use a solid line because the point x = -18 is included. However, hypothetically, if the inequality was x > -18 only, a broken line would be used to show that the line x = -18 is not included.