Answer:
Value of x = 12 unit
Step-by-step explanation:
Given:
tw = 3x+5
wx = 10
tx = 5x-9
Find:
Value of x
Computation:
tw + wx = tx
3x + 5 + 10 = 5x - 9
3x + 15 = 5x - 9
2x = 24
x = 12
Value of x = 12 unit
3. A student wrote a book which she plans to sell online for $13 per copy. Her total expenses were $85. Which function can be used to find the profit in dollars, d, when the student sells C, copies of the book?
Answer:
Her profit in dollars is;
d = 13c - 85
Step-by-step explanation:
Mathematically,
profit = sales - cost price
She sells at $13 per copy
so for c copies, total sales amount will be 13 * c= $13c
So the profit d in dollars will be;
d = 13c - 85
A manufacturer claims that the mean lifetime of its lithium batteries is 1200 hours. A homeowner selects 25 of these batteries and finds the mean lifetime to be 1180 hours with a standard deviation of 80 hours. Test the manufacturer's claim. Use ΅ = 0.05. Round the test statistic to the nearest thousandth.
Answer:
Since p is > α we fail to reject the Null as the result is not significant at α = 0.05
Step-by-step explanation:
Given that:
Mean lifetime (m) = 1200
Sample size (n) = 25
Sample mean (x) = 1180
Standard deviation (s) = 80
α = 0.05
The null hypothesis :
H0 : m = 1200
Alternative hypothesis : m ≠1200
The t statistic :
(x - m) / (s/√n)
(1180 - 1200) / (80 / √25)
-20 / (80/5)
= - 1.250
P value = 0.10565 ( p value calculator)
Reject Null hypothesis if p > α
At α = 0.05
Since p is > α we fail to reject the Null as the result is not significant at α = 0.05
The average distance from the sun to the planet Venus is about 108,000,000 km. The diameter of a human hair is about 0.0025 mm.
(a) What is the distance from the sun to Venus written in scientific notation?
• [Please make sure to include your units]
(b) What is the diameter of a human hair written in scientific notation?
• [Please make sure to include your units]
(c) In comparing the measurements in Parts (a) and (b), what else must be done before a comparison is made?
Step-by-step explanation:
It is given that,
The average distance from the sun to the planet Venus is about 108,000,000 km. The diameter of a human hair is about 0.0025 mm.
(a) In scientifc notation, the distance from the Sun to Venus will be :
There are 8 numbers before 1. It means
d = 1.08 × 10⁸ km
(b) In scientific notation, the diameter of a human hair will be :
There are 3 numbers after decimal. It means
D = 2.5× 10⁻³ mm
(c) Before comparing two measurements, both values must be converted into the same units.
Since, 1 mm = 10⁻⁶ km
D = 2.5× 10⁻³ × 10⁻⁶ km
= 2.5 × 10⁻⁹ km
For comparison divide the distance from the Sun to Venus and the diameter of a human hair.
[tex]C=\dfrac{1.08\times 10^8\ km}{2.5\times 10^{-9}\ km}\\\\=4.32\times 10^{16}[/tex]
Hence, this is the required solution.
PLEASE HELP
Write equations of the horizontal and vertical lines that pass through the given
point.
12. (-3,-4)
Horizontal line:
Vertical line:
Answer:
horizontal line: y=-4
vertical line: x=-3
Step-by-step explanation:
This one is simple. all you need to do is look at the x and y in the ordered pair.
Horizontal goes left and right so it's for y
Vertical goes up and down so it's for x
let me know if you need more explaining :)
Write a multiplication equation for "Eight $5 bills are worth $40."
Answer: use your 5 times tables.
Step-by-step explanation:
5, 10 15, 20 25, 30, 35, 40
then count how many times it gotyou to 40
it took 8 times to get to 40.
Solve the following compound inequality.
5x + 7 ≤ -3 OR 3x - 4 ≥ 11
A. -2 ≤ x ≤ 5
B. x ≤ -2 OR x ≥ 5
C. x ≤ -15 OR x ≥ 12
D. x ≥ 5
Thank you!
Answer:
B
Step-by-step explanation:
We have the compound inequality:
[tex]5x+7\leq-3 \text{ or } 3x-4\geq 11[/tex]
Since this is an “OR” inequality, we can solve each inequality individually. So:
1)
We have:
[tex]5x+7\leq-3[/tex]
Subtract 7 from both sides:
[tex]5x\leq -10[/tex]
Divide both sides by 5:
[tex]x\leq-2[/tex]
So, the first solution is above.
2)
We have:
[tex]3x-4\geq 11[/tex]
Add 4 to both sides:
[tex]3x\geq15[/tex]
Divide both side by 3:
[tex]x\geq5[/tex]
Our second solution is above.
Therefore, our solution is:
[tex]x\leq -2 \text{ or } x\geq5[/tex]
Since our original inequality is “OR,” our solution set remains an “OR.”
Hence, our answer is B.
Write the inequality graphed below. Use "x" as your variable
Answer:
x is greater than or equal to 3. x > 3
Step-by-step explanation:
Sum of Angles
Find the value of x and the measure of every angle.
It is Geometry
Find the 15th term of the geometric sequence 2, 6, 18,...
Answer:
a₁₅ = 9 565 938Step-by-step explanation:
6÷2 = 3 and 18÷6 = 3 so: q = 3
[tex]a_n=a_1\cdot q^{n-1}\\\\a_1=2\\q=3\\n=15\\\\a_{15}=2\cdot3^{15-1}\\\\a_{15}=2\cdot3^{14}\\\\a_{15}=9\,565\,938[/tex]
Answer:
9 565 938
Step-by-step explanation:
Ryan and Sarah collect baseball cards. Ryan has 150 baseball cards and collects 10 cards per week. Sarah has 200 baseball cards and collects 5 cards per week. After how many weeks will Ryan and Sarah have the same number of cards?
Answer:
i need help on this question too
Step-by-step explanation:
Answer:
I think X=10 but im not for sure.
Step-by-step explanation:
150 (X+10) = 200 (X+5)
150x+1500 200X+1000
-150X -150X
1500 50X+1000
-1000 -1000
500 50X
50 50
10=X
Plzz pls pls pls pls help me I’m stuck
Answer:
1. x-5=3x-45
2. x=20
3.Perimeter is 45 units since each side is 15 units.
Step-by-step explanation:
x-5=3x-45
-5=2x-45
40=2x
x=20
So AB is 15 and AC and BC is also 15 since it is equilateral. 15+15+15=45 The perimeter is 45 units.
What is the length of the unknown side?
Answer:
20！
Step-by-step explanation:
The lifespans of zebras in a particular zoo are normally distributed. The average zebra lives
20.5 point, 5 years; the standard deviation is
3.9
3.93, point, 9 years.
Use the empirical rule
(
68
−
95
−
99.7
%
)
(68−95−99.7%)left parenthesis, 68, minus, 95, minus, 99, point, 7, percent, right parenthesis to estimate the probability of a zebra living less than
32.2
32.232, point, 2 years.
Answer:
3
Step-by-step explanation:
Given the table, explain how to find the slope of the linear function
Answer:
Slope is 3
Step-by-step explanation:
y2 - y1/x2 - x1 = m
6 - 12/0 - 2 = m
-6/-2 = m
3 = m
Pls brainliest
Solve for x.
Answer Choices:
7
8
9
-11
Answer:
x = -11
Step-by-step explanation:
Well the two equations add up to 180 because they are a linear pair.
x + 56 + x + 146 = 180 (collect like terms)
2x + 202 = 180 (subtract 202 on both sides)
2x = -22 (divide by 2 on both sides)
x = -11
Hope this helps ya!!
Find y if 3х + 4y = 1
Answer:
y=1/4-3/4y
Step-by-step explanation:
rearrange the equation
4y=1-3x
divide both sides by 4 to get the value of y
Answer:
y = 1/4
Step-by-step explanation
Find Y set x=0
3(0)+4y = 1
4y = 1
y = 1/4
10. At a certain company, the average starting salary s for a new worker is $25,000. The actual
salary has an absolute deviation of at most $1800. Write and solve an inequality to find the
range of the starting salaries.
Copyright © Big Ideas Learning, LLC
Integrated Mathematics 1
57
Answer:
Step-by-step explanation:
Let 'x' represent the actual salary.
|x - 25,000| <= 1800
- 1,800 <= x - 25,000 <= 1,800
25,000 - 1,800 <= x <= 25,000 + 1,800
23,200 <= x <= 26,800
The range of the salary is the closed interval [23,200, 26,800].
Pls who knows how to do this
Answer:
I think 31° is the answer
(-3,7), (3,3) write in standard form
Answer:
3x−y=2
Step-by-step explanation:
D=
R=
Function?
Find the domain and range of each relation.
Answer:
Try to do it with mth way
which is the best estimate for this expression ?
a) 300
b) 40
c) 3
d)0.4
Answer:
A
Step-by-step explanation:
if n represents a number, write an expression that represents a number that is 5 less than n.
n-5
less than implies subtraction after the variable
What is the absolute value of -250?
Answer:
250
Step-by-step explanation:
Pretty much every time it asks for the abasloute value it just asks how much to get the zero on the number line. It will ALWAYS be positive. For example -5 will be 5 to get to zero on the numberline. Same thing with a positive 5.
what does x equal in x= x^2-12x+36
Answer:
x=4, x=9
Step-by-step explanation:
If x equals x^2-12x+36, x can equal 4 or 9. You may have to enter both answers.
5)A plumber charges $25 for a service call plus $50 per hour of service. Write an equation in slope-intercept form for the cost, C, after h hours of service.
Answer: your Answer is $75 dollars.
Step-by-step explanation:
$25 + $50 = $75
Answer:
[tex]C = 50x + 25[/tex]
Step-by-step explanation:
The $50 charge can be interpreted as the slope, as it varies based on the amount of time the service takes. The $25 can be interpreted as the y-intercept, as you'll get charged $25 no matter how long the service takes. Thus, we can plug these values into the slope-intercept form equation.
[tex]y = mx + b\\C = 50x + 25[/tex]
One of these graphs is of a cubic function which one is it ?
please helpp help I will be grounded if I don't get all of my answers. I will give brainleist
Answer:
D is the answer
Step-by-step explanation:
:)
5x + 2y = 9
-6x - 2y = -14
Answer:
What are you suppose to be finding? I am confused finding the value of x??
Step-by-step explanation:
Which are the solutions of x2 = -5x + 8?
Answer:
x=
2
−5−
57
=−6.275
x=
2
−5+
57
=1.275
Step-by-step explanation:
A number times 7 is at least the number plus 6.6.
Write the inequality.
Answer:
7x ≥ x + 6
A number signifies x.
Replace "a number" with x and then write out the inequality.
How do you solve (3×-2)^3
Answer:
the answer should be -216