Answers
Answer: x = 11, y = 9
Step-by-step explanation:
To solve for x, set the sides equal to each other:
7x + 27 = 10x - 6
Add 6 to both sides:
7x + 33 = 10x
Subtract 7x from both sides:
33 = 3x
Divide both sides by 3:
11 = x
(Which is the same as x = 11)
Now, to solve for y, since they don’t give you the other side, you know that the straight line is 180° so:
7x + 27 + 9y - 5 = 180
Plug in your x:
7(11) + 27 + 9y - 5 = 180
77 + 27 + 9y - 5 = 180
Add like terms:
99 + 9y = 180
Subtract 99 from both sides:
9y = 81
Divide both sides by 9:
y = 9
Hope this helps!
Related Questions
What is the midpoint of the segment joining (2,7) and (-6,2)?
Answers
Please see the attached question and help me solve it.
Answers
Answer:
-1
Step-by-step explanation:
The only point on the graph with a y-value of 3 is the point (-1, 3).
That is g(-1) = 3, or x=-1 for g(x) = 3.
Answer:
x=-1
Step-by-step explanation:
g(x)=y = 3
as you can see on the graph, (-1,3)➡ -1 value of x is g(x)=3 ➡g(-1)=3
hope this helps ^-^
A university dean is interested in determining the proportion of students who receive some sort of financial aid. Rather than examine the records for all students, the dean randomly selects 200 students and finds that 118 of them are receiving financial aid. The 95% confidence interval for is 0.590.07. Interpret this interval. A. It can be said that 95% of the students get between 52% and 66% of their tuition paid for by financial aid. B. One can be 95% confident that between 52% and 66% of the sampled students receive some sort of financial aid. C. One can be 95% confident that the true proportion of all students receiving financial aid is between 0.52 and 0.66. D. One can be 95% confident that 59% of the students are on some sort of financial aid.
Answers
Answer:
C. One can be 95% confident that the true proportion of all students receiving financial aid is between 0.52 and 0.66
Step-by-step explanation:
Given that the confidence interval is a term that defines a range of values with the probability to contain a population value that has an actual degree of confidence.
This is represented in a situation where population means falls in between upper and lower intervals.
Hence, in this case, the correct interpretation is option C: One can be 95% confident that the true proportion of all students receiving financial aid is between 0.52 and 0.66
What is the volume if each edge of each cube is 1 centimeter
Answers
Answer:
1 cm^3
Step-by-step explanation:
Length x Width x Height
1 x 1 x 1 = 1
The graphs below have the same shape. What is the equation of the blue graph?
Answers
Answer:
C
Step-by-step explanation:
bro trust me
fill in x with 0 & 3; it fits
Todd purchased 8 gallons of gasoline for $30. The equation y = 3.68x represents the cost in dollars, y, Hope paid for purchasing x gallons of gasoline. Which statement is true?
Answers
Answer:
The Answer Is A.
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
To purchase $13,400 worth of lab equipment for his business, Rafael made a down payment of $1900 and took out a business loan for the rest. After 2 years of
paying monthly payments of $509.70, he finally paid off the loan.
x
5
?
(a) What was the total amount Rafael ended up paying for the equipment
(including the down payment and monthly payments)?
si
(b) How much interest did Rafael pay on the loan?
si
Answers
9514 1404 393
Answer:
total paid: $14,132.80interest paid: $732.80Step-by-step explanation:
(a) The total that Rafael paid was ...
$1900 +24(509.70) = $14,132.80 . . . total paid
__
(b) The interest is the difference between what Rafael paid and the cost of the equipment.
interest = $14,132.80 -13,400 = $732.80 . . . interest paid
What does the transformation f(x)↦3f(x) do to the graph of f(x)?
stretches horizontally or vertically ?
Answers
Using translation concepts, it is found that the transformation f(x)↦3f(x) stretches vertically the graph of f(x) by 3 units.
In the transformation f(x) -> 3f(x), the function f(x) is multiplied by 3.When a function is multiplied by a constant with absolute value greater than 1, it is stretched vertically.An horizontal stretch is represented by f(x) -> f(ax), which is not the case here.Hence:
The transformation f(x)↦3f(x) stretches vertically the graph of f(x) by 3 units.
To learn more about translation concepts, you can take a look at https://brainly.com/question/20720324
ZA and ZB are complementary angles. If mZA = (6x +29)° and m
ZB = (x + 5), then find the measure of ZA.
Answers
Evaluate the following:
-6.12 + 5 (0.86 – 0.05 (9.6 - 3.6) + 0.5 = 0.05 – (-7) ]
Answers
Answer:
-0.82 = 7.05
Step-by-step explanation:
I don’t exactly know how to tell you step by step I asked my mom about this question yesterday
Find the circumference of a circle with a Radius = 4 ft. Use 3.14 for it, and round to 2 decimal places.
Answers
Answer:
Circumference would be 25.12ft
Step-by-step explanation:
So circumference formula is pi(diameter)
We know the radius so to find the diameter we multiply the radius by 2.
so 4(2)=8
and since pi is 3.14 then multiply 8(3.14)
youll get 25.12
Answer:25.12
Step-by-step explanation:
formula is d(pi)
so 8(3.14)
25.12
Which number line represents the solution set for the inequality which number line represents the solution set for the inequality 2x-6 is less than or equal to 6(x-2)+8
Answers
Answer:
The answer is C
The correct answer is option (C).
What is inequality?Inequality shows relation between two expression which are not equal to each others.
The given inequality is,
2x-6 ≥ 6(x-2)+8
Simplify this inequality,
2x-6 ≥ 6x-12 +8
2x-6 ≥ 6x-4
⇒4x≤-2
⇒x≤-0.5
Inequality shows that values less than or equal to -0.5 are the solutions.
Therefore, option C is correct.
To know more about Inequality on:
https://brainly.com/question/20383699
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Write in standard form:
1.29 x 10
Answers
Answer:
12.9
Step-by-step explanation:
Since the degree of the 10 is 1, move the decimal point of 1.29 to the right once.
Hi!
Your answer should be: 12.9.
Hope this helps!
Yours truly,
~~~PicklePoppers~~~What is w/ 6 - 6? If w=42?
Answer choices:
A) 4
B) 1
C) -1
D) 42
Answers
Hi!
Your answer would be: B-1
Reason being: Using P.E.M.D.A.S., we divide 42 (or, w) by 6, which equals 7.
now, 7 minus 6 equals 1.
__________________________________________________________
42/6-6
=7-6
=1
__________________________________________________________ Therefore, the answer is B/1.
Hope this helps!
Yours truly,
~~~PicklePoppers~~~The total cost of 5 hamburgers and a drink at Bill's Burgers is $8.50, which 2 points
includes $0.75 in tax. If the drink was $1.50, how much did each burger
cost?
Answers
Find the difference. 9.8 - 2.513 (Round your answer to the nearest hundredths
place.
Answers
Answer:
7.29
Step-by-step explanation:
Hope this helps :)
Translate to an equation and solve: The sum of two-fifths and f is one-half.
Provide
f=
Answers
Answer:
9/10
1/2+2/5
Since these fractions have different denominators, we need to find the least common multiple of the denominators.The least common multiple of 2 and 5 is 10, so we need to multiply to make each of the denominators = 10
1/2 ∗ 5/5 = 5/10
5/2∗ 2/2= 4/10
Since these fractions have the same denominator, we can just add the numerators
5/10+ 4/10 = 9/10
Answer:
1/10
Step-by-step explanation:
Begin by writing the given phrase as an equation. The sum of two-fifths and f can be written 2/5+f, and that term is equal to one-half, written 1/2. Written together,
2/5+f=1/2.
Begin by subtracting 25 from each side,
2/5+f−2/5=1/2−2/5.
Simplify and rewrite with a common denominator,
f=1/2⋅5/5−2/5⋅2/2
and simplify again,
f=5−4/10,
and solve for f,
f=110.
Which interval contains a local minim um for the
graphed function?
[-4,-2.5]
[-2,-1]
[1, 2]
[2.5, 4]
Answers
Answer:
Option (4)
Step-by-step explanation:
From the graph attached,
Local minimum → (3, -4)
Global Maximum → (-0.44, -4.3)
Maximum of the function → (1.7, 0.7)
Since, local maximum lies in the interval 2.5 ≤ x ≤ 4
Interval that contains the local minimum will be→ [2.5, 4]
Therefore, Option (4) will be the correct option.
Suppose initially there are 2 zombies. Every hour each zombie bites 1.5 people on average. Approximately how many people would be zombies after 12 hours? Hint: We did a similar model in desmos yesterday.
Answers
Answer:
36 people
Step-by-step explanation:
1.5 x 12 = 18
18 x 2 = 36
18 represents the ammount of people 1 zombie bit while 36 represents 2. Hope this helps!
how do you work this out
Answers
Answer:
with your hands
Step-by-step explanation:
and do not report
Chi square Daphne likes to ski at a resort that is open from December through April. According to a sign at the resort, 20, percent of the snow falls occur in December, 25, percent in January, 20, percent in February, 20, percent in March, and 15, percent in April. She wondered if the snow falls in her hometown followed this distribution, so she took a random sample of 80 days between December and April with snowfall and recorded their months. Here are her results:_________.
Answers
Answer:
There is not enough evidence to suggest that the snow falls in Daphne's hometown does not follow the given distribution.
Step-by-step explanation:
The missing data for the random sample of 80 days between December and April with snowfall is:
Month Days
December 16
January 11
February 16
March 18
April 19
The Chi-square goodness of fit test would be used to determine whether the snow falls in Daphne's hometown followed the given distribution.
The hypothesis for the test can be defined as follows:
H₀: The snow falls in Daphne's hometown does not follow the given distribution.
Hₐ: The snow falls in Daphne's hometown followed the given distribution.
Assume that the significance level of the test is, α = 0.05.
The Chi-square test statistic is given by:
[tex]\chi^{2}=\sum\limits^{n}_{i=1}{\frac{(O_{i}-E_{i})^{2}}{E_{i}}}[/tex]
The value of Chi-square test statistic is computed in the Excel sheet below.
[tex]\chi^{2}=\sum\limits^{n}_{i=1}{\frac{(O_{i}-E_{i})^{2}}{E_{i}}}=8.383[/tex]
Compute the p-value as follows:
[tex]\text{p-value}=P(\chi^{2}_{(4)}>8.383)=CHISQ.DIST.RT(8.383,4)=0.0785[/tex]
The p-value of the test is 0.0785.
Decision rule:
If the p-value of the test is less than the significance level then the null hypothesis will be rejected.
p-value = 0.0785 > α = 0.05.
The null hypothesis will not be rejected.
Conclusion:
There is not enough evidence to suggest that the snow falls in Daphne's hometown does not follow the given distribution.
A ladder 10 feet long rests against a vertical wall. Initially, the top of the ladder is 8 feet above the ground. If the top of the ladder is sliding down the wall at a rate of 2 feet per second, how fast is the bottom of the ladder sliding away from the wall 1 second after the ladder starts sliding? Answer the question in a complete sentence and include appropriate units
Answers
Step-by-step explanation:
Let vertical height of ladder from ground be y and
horizontal distance of the base of the ladder from the wall be x respectively.
Length of the ladder = l (constant) = 10 ft
Using Pythagoras theorem:
[tex] {l}^{2} = {y}^{2} + {x}^{2} [/tex]
Differentiate both sides w.r.t time
[tex]0 = 2y \frac{dy}{dt} + 2x \frac{dx}{dt} [/tex]
[tex]y \frac{dy}{dt} + x \frac{dx}{dt} = 0[/tex]
We know that (After 1 sec, y = 6 ft and x = 8 ft ; dy/dt = 2 ft/sec)
[tex]6\times 2 + 8\frac{dx}{dt} = 0[/tex]
[tex] \frac{dx}{dt} = - 1.5 ft \: per \: sec[/tex]
( Ignore - ive sign)
Therefore, bottom of the ladder is sliding away from the wall at a speed of 1.5 ft/sec one second after the ladder starts sliding.
Leon throws a ball off a cliff. The graph represents a relation that models the ball’s height, h, in feet over time, t, in seconds.
What is the domain?
{t| 0 ≤ t ≤ 3}
{t| 0 ≤ t ≤ 48}
{t| 0 ≤ t ≤ 64}
{t| all real numbers}
Answers
Answer:
{t|<t<3}
Step-by-step explanation:
The domain of the relation represented by the graph is the time from 0 to 3 seconds the range of the relation is the heights from 0 to 64 feet.
The domain of the graph is, {t | 0 ≤ t ≤ 3}
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
Leon throws a ball off a cliff.
And, The graph represents a relation that models the ball’s height, h, in feet over time, t, in seconds.
Hence, We get;
The domain is the set of input values of the function.
And, From the graph, the input values are represented on the t-axis.
So, The values on the t-axis start from t = 0 and ends at = 3
This means that the domain of the graph is 0 ≤ t ≤ 3
Hence, the domain of the graph is {t| 0 ≤ t ≤ 3}
Read more about domain at:
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Which Operation should be used to solve x + 3 = 7
Answers
Answer:
Standard Form
Step-by-step explanation:
Equation:
x + 3 = 7
Move the constant:
x = 7 + 3
Subtract:
x = 7
- 3
Answer:
x = 4
A line passes through the point (4, -2) and has a slope of
1/2
What is the value of a if the point (-4, a) is also on the line?
-6
-5
5
6
HELP!!!!!!
Answers
Answer:
a would equal -6
Step-by-step explanation:
First, use y=mx+b to find the y-intercept (plug in (x,y) and 1/2 for m)
-2=4(1/2)+b this would simplify to -2=2+b
Subtract 2 from both sides
-2-2=2-2+b
b=-4 our y-intercept is -4
our new equation would be y=1/2x-4, graph this equation and find a point that correlates with the -4 on the y-axis and is in the line, that point will be -6
To prove our point we can write the equation using our new points (-4,-6) and we will get -4 as our "b" or y-intercept
-6=-4(1/2)+b
-6=-2+b add -2 to both sides
-4=b
Each basket can hold 2.5 pounds of apples. How many pounds can 7 baskets hold?
Answers
Answer:
Hi there!
Your answer is:
17.5 lbs apples
Step-by-step explanation:
1 basket = 2.5lbs apples
×7
7 basket = 17.5 lbs apples
Hope this helps
Cody Summer sells tires for tractor-trailers. He earns 4.5 percent commission on the first $6,000, 8 percent on the next $6,000, and 12 percent on sales over $12,000. Last month he sold $18,000 worth of tires. What was his total commission?
Answers
Answer:
$1470
Step-by-step explanation:
Summer earned 4.5% on $6000 +8% on $6000 + 12% on ($18000-12000) = $6000, for a total of 24.5% of $6000.
commission = 0.245 · $6000 = $1470
Summer earned a total commission of $1470.
Natalie walked. 3/5 mile in 1/2 how fast did she walk in miles per hour
Answers
Answer:
1 1/2
Step-by-step explanation:
Solve A=w – 5 for w.
Answers
Answer: w=A + 5
Step-by-step explanation:
Thats my answere
Answer:
w=A+5
Step-by-step explanation:
We are starting with A=w-5 but to make things a little easier, we will flip the equation so it will look like w-5=A, now let's solve it
Add 5 to both sides,
w-5+5=A+5 once we simplify this we get our final answer,
w=A+5
HELP! Square root related - Please give a short explanation as well!
square root of 64 divided by 25 plus square root of 4 divided by 25
Answers
Answer:
0.4
Step-by-step explanation:
square root of 64 = 8
divided by 25
square root of 4 = 2
divided by 25
8/25 + 2/25
8+2/25
10/25
2/5
= 0.4
