Simplify the following expression.
5.3x − 8.14 + 3.6x + 9.8
A.
-2.84x − 1.66
B.
8.9x + 17.94
C.
-2.84x + 17.94
D.
8.9x + 1.66
Answer:
D
Step-by-step explanation:
5.3x − 8.14 + 3.6x + 9.8
group the numbers on one side and the x's on the other
5.3x + 3.6x - 8.14 + 9.8
solve
8.9x + 1.66
A person with a height of 2 meters stand near a tree. The tree casts a shadow that is 30 meters long and the person has a shadow that is 3
meters long. What is the height of tree
9514 1404 393
Answer:
20 m
Step-by-step explanation:
The 30 m shadow of the tree is 10 times the 3 m length of the person's shadow. We expect the tree to be 10 times as tall as the person:
10(2 m) = 20 m . . . height of the tree
Is it possible to partition an arbitrary right triangle into isosceles triangles? Justify your answer.
please answer asap :)
Answer:
yes
Step-by-step explanation:
An arbitrary right triangle can be partitioned into isosceles triangle by drawing a median from the right angle to the hypotenuse.
What is Right Angled Triangle?Right angled triangle are those triangle for which one of the angle is 90 degrees.
Let's take a right angled triangle ΔABC.
Let C be the right angle in this triangle.
Then AB will be the longest side of the triangle, which is the hypotenuse.
Median of a triangle is the line segment joining the vertex to the midpoint of the opposite side of the triangle.
Suppose we draw a median from C to the midpoint of AB intersecting AB at a point P.
Then there are two triangles formed ΔAPC and ΔBPC.
AP = BP since P is the midpoint of AB.
PC = PC is the common side for both triangles.
So ΔAPC and ΔBPC are isosceles triangles, because two sides are equal.
Hence any right triangle can be partitioned into two isosceles triangles this way.
Learn more about Right Angled Triangles here :
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Stacy has 6 fewer than half as many marbles as Mallory .If Stacy has thirty marbles how many does Mallory have
Answer:
72
Step-by-step explanation:
Stacy has 30 marbles
Let m= the number of marbles that mallory has
stacy has 1/2 m -6
30 = 1/2 m -6
Add 6 to each side
30+6 = 1/2m
36 = 1/2m
Multiply each side by 2
72 = m
Mallory has 72 marbles
Answer:
72
Step-by-step explanation:
I'm cool and the guy above me stinko
pls help meeeeeeeeeeee!!
Answer:
45 with a remainder of 27.
Step-by-step explanation:
Hope this helps you! Good luck! <3
On an architect's blueprint, 1 inch corresponds to 2 feet. Find the length of a wall represented by a line 2 1/2 inches long on the blueprint
Please Help!!!! Please please help me it’s not hard but I don’t know how!!
Answer:
Step-by-step explanation:
1
180-72=108
108-82=26
x=26
2
1580-30=150
150-82=68
x=68
The ratio of the number of men to the number of women in a room is 7 : 4. There are 9 more men than women. How many people are there in the room?
Answer:
33 people
Step-by-step explanation:
7x = 4x + 9
3x=9
x=3
7(3) = 21
4(3) = 12
33 people
A box contains three types of fruits:
apples, bananas, and pears. There are
20 pieces of fruit in all. Of these, 3 are
apples and 11 are bananas. What is the
ratio of pears to bananas?
A 6: 11
B 11 : 6
C 3:11
D 11:3
Answer:
A
Step-by-step explanation:
What is the measure of angle b?
Answer:
if those lines are parallel, then the m∠ = 92°
Step-by-step explanation:
The angle rule of corresponding angles or the corresponding angles postulate states that the corresponding angles are equal if a transversal cuts two parallel lines. Corresponding angles are equal if the transversal line crosses at least two parallel lines.
Round 34,138 to the nearest thousand??
Answer:
34,138 to the nearest thousand is 34,000!
Step-by-step explanation:
Hope this helps! Good luck! <3
Answer:
0
Step-by-step explanation:
what number is 1/10 of 8000000
Answer:
800000
Step-by-step explanation:
HELP ME PLSSS SOMEONE HELPP ILL GIVE BRAINLIEST
tom sold 3 cars ( a total value of $112,500) in the month of january. it is paid only by commission for its seller. he receives a commission of 7%. what is tom’s salary for the month of january?
Answer:
First multiply 112,500 times 3 (because of the 3 cars) answer should be $337,500
Then do the percentage (7%) $23,625
I believe that 23625 is the answerrr
Chris has 12 sweets. He has 3 red, 6 blue, 1 yellow and 2 green sweets what fraction of his sweets is red
Answer:
He has had a quarter of the red one
Step-by-step explanation:
3/12 is 1/4 when simplified
is this a keep, change, change?
-9-8
Answer:
Yes, they cancel each other out.
Step-by-step explanation:
Personally never liked the keep, change, change method. Pemdas is what I use, however this is an easy one so nothing so major.
A scuba diver is 12 meters below sea level. If the diver descends 39 meters further, what integer represents the scuba diver’s new elevation relative to sea level?
I think the answer is -51
What is the result of 4 divided by StartFraction 8 Over 12 EndFraction?
4 boxes of 12 squares
One-sixth
StartFraction 3 Over 8 EndFraction
3
6
Answer:
the answer is 1/6
i got it right edg 2020
Step-by-step explanation:
dont come at me because we had the same answer
Answer: 1/6
Step-by-step explanation:
As Mexican troops drew closer to the Alamo, the Texans ________________.
a.
retreated to smaller quarters within the mission chapel
b.
sent word to Gonzales for reinforcements
c.
sent word to the United States requesting statehood
d.
suffered a rebellion from within the fort
Answer:
b
Step-by-step explanation:
Answer:
B
Step-by-step explanation: I took it on a test and got it right
I need help on this I will give brainlist help it will mean a lot this is my last math problem help me!
Answer:answer is b
Step-by-step explanation: Just makes since
A rope is 12 meters long. You cut off 15/6 of the rope. How much is left?
Can you please add a step by step
Answer:
4.8
Step-by-step explanation:
15/6 is 2.5 whitch when divided by 12 is 4.8 so 12 divided by 2.5 is 4.8
Answer:
4.8 meters
Step-by-step explanation:
[tex]\frac{15}{6} = 2.5[/tex] 12 ÷ 2.5 = 4.8 metersI hope this helps!
A regional office of the Internal Revenue Service randomly distributes returns to be audited to the pool of auditors. Over the thousands of returns audited last year, the average amount of extra taxes collected was $356 per audited return. One of the auditors, Jeffrey Jones, is suspected of being too lenient with persons whose returns are being audited. For a simple random sample of 30 of the returns audited by Mr. Jones last year, an average of $340 in extra taxes was collected.
Required:
Assuming a normal population of extra taxes collected with a standard deviation of $90, do the suspicions against Mr. Jones appear to be justified?
Answer:
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is sufficient evidence to conclude that the justification against Mr. Jones appears not to be justified
Step-by-step explanation:
From the question we are told that
The population mean is [tex]\mu = \$ 356[/tex]
The sample size is n = 30
The sample mean is [tex]\= x = \$340[/tex]
The standard deviation is [tex]\sigma = \$ 90[/tex]
The null hypothesis is [tex]H_o : \mu = \$ 35 6[/tex]
The alternative hypothesis is [tex]H_a : \mu \ne \$ 35 6[/tex]
Let assume the significance level is [tex]\alpha = 0.05[/tex]
Generally the test statistic is mathematically represented as
[tex]t = \frac{\= x - \mu }{\frac{\sigma }{\sqrt{n} } }[/tex]
=> [tex]t = \frac{ 340 - 356 }{\frac{90 }{\sqrt{30} } }[/tex]
=> [tex]t =-0.9737 [/tex]
Generally the sample size from the question is small that it is not greater than 30 hence we use t-test
Now the degree of freedom is mathematically represented as
[tex]df = n- 1[/tex]
=> [tex]df = 30- 1[/tex]
=> [tex]df= 29[/tex]
Generally the p-value is mathematically represented as
[tex]p-value = 2 P (t > -0.9737 )[/tex]
Generally from the t-distribution table , the probability of -0.9737 at a degree of freedom of [tex]df= 29[/tex] for a two -tailed test is
[tex]P (t > -0.9737 ) = 0.33825793[/tex]
Hence p-value is
[tex]p-value = 2*0.33825793[/tex]
[tex]p-value = 0.676 [/tex]
From the value we obtained we see that [tex]p-value > \alpha[/tex] hence
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is sufficient evidence to conclude that the justification against Mr. Jones appears not to be justified
Describe how to plot point A(-6, 2) on a coordinate plane.
Answer:
Read the explanation
Step-by-step explanation:
Go to desmos (website) and open the Graphic Calculator (or you can use any graphic calculator) . Then in one of the text boxes on the side write A(-6,2) and it'll plot it. Or make a paper graph (Make sure the lines are spaced out correctly) and go to -6 on the x axis and 2 on the y axis, the point in which those 2 intecept is the plotted dot. Or print a graph and plot it there, both work.
Charlie has 468 onions to sell. He puts 12 onions in each bag, and he sells the bags for $8 each. What is the answer?
Answer:
312 $
Step-by-step explanation:
468 / 12 = 39 bags
8 x 39 = 312 $
so the answer is 312$
|2x+5|-4=16 find both answers
Answer:
x=7.5 and x=-12.5
Step-by-step explanation:
|2x+5|-4=16
|2x+5|=20
2x+5=20
2x=15
x=7.5
2x+5=-20
2x=-25
x=-12.5
Maria makes money
by commission rates.
She gets 15% of
everything she sells. If
Maria sold $23,000
worth of items this
month, what is her
salary for the month?
Show your work on
the slide!
Answer:
Monthly salary = $3450
Step-by-step explanation:
In this problem, it is given that, Maria gets 15% of everything she sells. If Maria sold $23,000 worth of items this month, we need to find her salary for the month.
It means we need to find the 15% of $23,000 to find her salary. Let the salary be x.
ATQ,
[tex]x=15\%\ \text{of}\ 23000\\\\x=\dfrac{15}{100}\times 23000\\\\x=\$3450[/tex]
Hence, her salary for the month is $3450.
Salary of Maria for the month is $3,450
Given that;
Amount of item sold by Maria = $23,000
Percentage of commission = 15%
Find:
Salary of Maria for the month
Computation:
Salary of Maria for the month = Amount of item sold by Maria × Percentage of commission
Salary of Maria for the month = $23,000 × 15%
Salary of Maria for the month = $3,450
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What are the coordinates for the park ?
Answer: hey panini
Step-by-step explanation:
You are playing a video game. For each diamond you collect, you earn 110 points. You also earn 80 bonus points by completing the level in less than 2 minutes. You need to earn more than 1620 points to continue on to the next level. Write and solve an inequality that represents the numbers d of diamonds you must collect in less than 2 minutes to advance to the next level.
Answer:
110d + 80 > 1620
d > 14
Step-by-step explanation:
The amount of points from collecting diamonds can be represented by 110d, since you get 110 points for each diamond, d
Add 80 to this to represent the bonus points.
Use a greater than inequality, because you have to get more than 1620 points.
Put this all together:
110d + 80 > 1620
Then, solve for d:
110d + 80 > 1620
110d > 1540
d > 14
So, you have to collect more than 14 diamonds in less than 2 minutes in order to advance to the next level.
divide 25.84 divide by 4
Answer:
25.84 divide by 4 Is 6.46.
The graph of a quadratic function with vertex (3,2) is shown in the figure below.
Find the domain and the range.
Answer:
Domain=All Real Numbers Range=y>2
Step-by-step explanation:
Since the graph expands infinitely across the x axis it is all real numbers
Since the Y covers all the numbers above 2 it is y>2
What is equal to d? I’m sorry but I need help.