ESTIMATED AND EXACT ANSWERS. Find the answers to these division problems. Use
compatible numbers to check your answer's accuracy. Look back to Lesson Three if you need
help with compatible numbers. (2 points each)
10. 903.6 - 25.1
Exact Answer:
Estimate:
11. 760.38 +0.38
Exact Answer:
Estimate:
Answers
Answer
10) 36
11)2001
Step-by-step explanation:
Answer:
10. 36 (exact answer), 30 or 30.16 (estimated answer).
11. 2001 (exact answer), Undefined, or 1900 (estimated answer).
Step-by-step explanation:
For number 10, the exact answer is 36 and the estimated is 30 or 30.16. Why?
-To have the exact answer we have to divide 903.6 ÷ 25.1 = 36.
-To have the estimated answer we have to round 903.6 and 25.1, as 903.6 is close to 900 and not 1,000, and 25.1 is close to 30 and not to 20. The equation is 900 ÷ 30 = 30.
-To make sure that the exact answer is correct, we have to multiple 25.1 and 36 = 903.6.
-To make sure that the estimated answer is correct, we have to multiple 30 and 30 = 900.
-But there's a problem, they can be two answers for the estimated answer 1). 30, and 2). 36.16. Process: 904 ÷ 25 = 36.16. Why? As they are decimal points, it may be that we have to round them but not the whole number, but the question doesn't specify how we have to round them, so I'm not so clear about it.
For number 11, the exact answer is 2001 the estimated is 1900 or Undefined. Why?
-To have the exact answer we have to divide 760.38 ÷ 0.38 = 2001.
-To have the estimated answer for the undefined we have to round 760.38 and 0.38, as 760.38 is close to 800 and not to 700, and 0.38 is close to 0 (0.00) and not to 1 (1.00). The equation is 800 ÷ 0.00 = Undefined.
-To make sure that the exact answer is correct, we have to multiple 2001 and 0.38 = 760.38.
-But there's a problem, they can be two answers for the estimated answer 1). Undefined, and 2). 19. Process: 760 ÷ 0.40 = 1900. Why? As they are decimal points, it may be that we have to round them but not the whole number, but the question doesn't specify how we have to round them, so I'm not so clear about it.
Related Questions
A die is rolled. Match the events mentioned in the first column with their corresponding probability.
Answers
Answer:
Step-by-step explanation:
a number greater than 5 - 1/6
a prime number - 1/2
a number greater than 4 - 1/3
a number less than 6 - 5/6
The sum of three numbers is 16. The sum of twice the first number, 5 times the second number, and 6 times the third number is 85. The difference between 4 times the first number and the second number is negative 3. Find the three numbers.
Answers
Answer:
1, 7, 8Step-by-step explanation:
x, y, z - numbers to find
The difference between 4 times the first number and the second number is negative 3:
4x - y = -3
- y = -3 - 4x
y = 3 + 4x
The sum of three numbers is 16:
x + y + z = 16
x + 4x + 3 + z = 16
5x + z = 13
z = 13 - 5x
The sum of twice the first number, 5 times the second number, and 6 times the third number is 85:
2x + 5y + 6z = 85
2x + 5(3 + 4x) + 6(13-5x) = 85
2x + 15 + 20x + 78 - 30x = 85
-8x + 93 = 85
-8x = -8
x = 1
y = 3 + 4•1 = 7
z = 13 - 5•1 = 8
Veryfying:
1 + 7 + 8 = 16
2•1 + 5•7 + 6•8 = 2 + 35 + 48 = 85
Find the area of the following shapes: c
Answers
Answer:
20
Step-by-step explanation:
First, you need to find the length of each of the bases of this trapezoid. YZ has length 5-2=3, while XW has length 8-1=7. The average of these is 5, meaning that since the height of this trapezoid is 5-1=4, the area is 4*5=20. Hope this helps!
What is the median of this data set: 17, 13, 18, 20, 17, 15, 12
A. 19
B. 17
Answers
Answer:
A. 19
Step-by-step explanation:
The median is the middle-point
The middle-point is also the number that is halfway into the set. To find the middle-point, the data should be arranged in order from least to greatest. If there is an even number of items in the data set, then the middle-point is found by taking the mean (average) of the two middlemost numbers.
please mark me brainliest :)
PLEASE HELP URGENT!!
Examine the following graph,where a horizontal dilation maps p(x) to I(x)
Answers
Answer:
D) a horizontal stretch
Step-by-step explanation:
"A horizontal stretching is the stretching of the graph away from the y-axis. A horizontal compression (or shrinking) is the squeezing of the graph toward the y-axis." Quoted from mathbitsnotebook.com.
Select the equation that is the inverse of the given function. f (x) = StartFraction x minus 3 Over 5 EndFraction f Superscript negative 1 Baseline (x) = 5 x + 15 f Superscript negative 1 Baseline (x) = 5 x + 3 f Superscript negative 1 Baseline (x) = 3 x minus 5 f Superscript negative 1 Baseline (x) = negative five-thirds x
Answers
Answer: the answer is B
Step-by-step explanation:
i just did it
Answer:
b
Step-by-step explanation:
on edge
What is the value of x in the equation 3x -
by = 18, when y = 272
5
7
45
63
Mark this and return
Save and Fit
Answers
If not clear your question and if yes this is the question then the answer is 96.6
There are 1250 students in a school. 58% of them are female. How many are male?
Answers
Answer:525 boys
Step-by-step explanation:
Multiply 1250 times .58 and then subtract that answer from 1250....
1250x.58=725
1250-725=525
Answer:
There are 525 boys in that school.
Step-by-step explanation:
Since the number of students in that school are 1250 and 58% of them are female, therefore the percentage of the male is
⇒100% - 58% = 42%
To find how many boys are in that school, you multiply 1250 by 42%.
i.e. [tex]\frac{42}{100} * 1250[/tex]
= [tex]\frac{42}{10} * 125[/tex]
= 4.2 × 125
= 525
∴ There are 525 boys in that school.
OR
You can find the number of boys there by subtract the product of 58% and 1250 by 1250.
i.e. Number of girls= [tex]\frac{58}{100} * 1250[/tex]
= [tex]\frac{58}{10} * 125[/tex]
= 5.8 × 125
= 725
∴ The boys in that school are:
= 1250 - 725
= 525
∴ There are 525 boys in that school.
Hope this helps!!!
The total cost for a bucket of popcorn and 4 movie tickets is $56. The total cost for the same size bucket of popcorn and 6
movie tickets is $80. The cost of a bucket of popcorn is $8. Which equation represents the relationship between y, the total
cost of the popcorn and movie tickets, and x, the number of movie tickets that are purchased?
y = 12x + 8
y = 12x - 8
y = 14x + 8
y = 14x - 8
Answers
Answer:
y = 12x + 8
Step-by-step explanation:
You can come to this conclusion by plugging in the amount of tickets bought as x in each equation, making sure the the answer y is $56 if x = 4 and $80 if x = 6
Answer:
a
Step-by-step explanation:
Need quick help on this
Answers
Answer:
C.
Step-by-step explanation:
I cant really explain it but i had the same question and had the answer worked out on the paper
Hope it helps :3 (tell me if it was right or wrong so i know if i need to fix something later)
remove all perfect squares from the square root of 180
Answers
Answer:
It should be 6 square root of 5 or about 13.4 (decimal form)
Mr. Karas needs to find the perimeter of
the patio shown at the right. What is the
perimeter of the patio? How can Mr. Karas find
the perimeter?
Answers
Answer: 54 yds
Step-by-step explanation: add all of the sides to get the perimeter
14+9+14+10+7=54
P= 54yd
Which two representations are considered to be only partial representations?
OThe equation and the verbal description
OThe verbal description and the graph
OThe table and the equation
OThe graph and the table
Answers
Answer:
D) The graph and the table
Step-by-step explanation:
The equation and the verbal description fully represent the situation because their representation is valid for all possible x values. On the other hand, the table and the graph only represent certain x values.
Answer:
The Graph And The Table
Step-by-step explanation:
A triangle is sitting on a horizontal line. The bottom left interior angle of the triangle is (9 + k) degrees. The exterior angle to the bottom left interior angle is (5 k minus 3) degrees.
What is the value of k?
k = 28
k = 29
k = 31
k = 42
Answers
Answer:
29
Step-by-step explanation:
If you mean the exterior angle at the same vertex as the interior,
(9+k)+(5k-3)=180
9+k+5k-3=180
6k+6=180
6k=174
k=29 degrees
Answer:
29
Step-by-step explanation:
Which function has a vertex at the origin?
A f(x) = (x + 4)2
B fx) = x(x - 4)
C f(x) = (x - 4)(x + 4)
D f(x)= x²
Answers
answer D
Step-by-step explanation:
Hello,
we can check the graph of the functions as attached or compute the vertex analytically
from the graph you can see that D is the correct answer
-2/3a-6=12 what does a equal a=?
Answers
Answer:
a= -27
Step-by-step explanation:
The other answer I had was wrong so..
// have a great day //
Answer:
-2/3 a - 6 = 12
+6 +6
-2/3 a = 18
divide by -2/3 on both sides
a = -27.00027
Step-by-step explanation:
CHECK
-2/3 ( -27.00027) -6 = 12
18.00018 -6 = 12
12.00018 about 12 SO YES ITS CORRECT
solve for x and y
help please!!
need step by step explanation.
will give the brainliest!!
Answers
Answer:
x=4, y=10
Step-by-step explanation:
(x+2)/3= (y-2)/4= (y-x)/3
x+2= y-x ⇒ y= 2x+2(x+2)/3= (2x+2-2)/4 ⇒ (x+2)/3= x/2 ⇒ 2x+4= 3x ⇒ x=4y=2*4+2= 10Answer:
The value of x is 2 and y is 10.
Step-by-step explanation:
First, you have to do cross multiplications of any 2 fractions :
1st equation,
[tex] \frac{x + 2}{3} = \frac{y - 2}{4} [/tex]
[tex]4(x - 3) = 3(y - 2)[/tex]
[tex]4x + 8 = 3y - 6[/tex]
2nd equation,
[tex] \frac{y - 2}{4} = \frac{y - x}{3} [/tex]
[tex]4(y - x) = 3(y - 2)[/tex]
[tex]4y - 4x = 3y - 6[/tex]
Next, you have to solve the simultaneous equation by elimination :
[tex]4x - 3y = - 14 - - - (1)[/tex]
[tex] - 4x + y = - 6 - - - (2)[/tex]
[tex](1) + (2)[/tex]
[tex]4x - 3y + ( - 4x) + y = - 14 + ( - 6)[/tex]
[tex] - 2y = - 20[/tex]
[tex]y = 10[/tex]
[tex]substitute \: y = 10 \: into \: (1)[/tex]
[tex]4x - 3(10) = - 14[/tex]
[tex]4x - 30 = - 14[/tex]
[tex]4x = - 14 + 30[/tex]
[tex]4x = 16[/tex]
[tex]x = 4[/tex]
|x-1|=14 solve the equation
Answers
Answer:
x = 15 x = -13
Step-by-step explanation:
|x-1|=14
There are two solutions to the absolute value equation, one positive and one negative
x-1 = 14 and x-1 = -14
Add 1 to each side
x-1+1 = 14+1 x-1+1 = -14+1
x = 15 x = -13
Answer:
x= 13 or -13
Step-by-step explanation:
Substitute x for 13
|13+-1|=14
13+1=14
14=14
Now try -13
|-13+-1|=14
13+1=14
14=14
(URGENT)use the vectors to determine two dot products
Answers
u = 9 i - 6 j
v = -3 i - 2j
w = 19 i + 15 j
u • v = (9 i - 6 j) • (-3 i - 2j)
Distribute the dot products:
u • v = 9*(-3) (i • i) + 9*(-2) (i • j) + (-6)*(-3) (j • i) + (-6)*(-2) (j • j)
i and j are orthogonal unit vectors, so their dot products are 0, while i • i = j • j = 1. So we have
u • v = 9*(-3) + (-6)*(-2) = -27 + 12 = -15
In other words, the dot product can be computed by simply multiplying corresponding components, and taking the total.
u • w = 9*19 + (-6)*15 = 81
Answer:
A I believe
Step-by-step explanation:
Edge2021
Please help me ASAP I will give brainliest
Answers
Answers The answer A
Step-by-step explanation:
Can I have some help on this question?
Answers
Answer:
The definition of a parallelogram states that opposite sides are parallel, so try finding the slopes of DC and AB, If they are equal that means, the sides are parallel. Do the same for AD and BC.
HURRY PLSSS
A builder uses parallelogram-shaped stones as decoration around a building’s windows. The stones come in many different sizes. Each stone has a base length of x inches and a height of (4x − 2) inches. Write a polynomial to describe the area of a stone. Then find the area of a stone that has a length of 8 inches.
ANSWER CHOICES
4x ^2 − 2x; Area = 240 in^2
4x ^2 − 2; Area = 240 in^2
4x ^2 − 2; Area = 254 in^2
4x ^2 − 2x; Area = 30 in.
Answers
Answer:
C)
Step-by-step explanation:
the answer is c because you multiply 4 and 2 and get 8 and multiply 8 by 8 and get 64 then you use 4 again and multiply 64 by 4 so you get 256 and round that 254
Answer:
Step-by-step explanation:
Two parallel lines are crossed by a transversal. Parallel lines u and w are cut by transversal t. At the intersection of lines u and t, the bottom left angle is 105 degrees. At the intersection of lines w and t, the uppercase right angle is g degrees. What is the value of g? g = 75 g = 80 g = 100 g = 105
Answers
Answer:
I think it's 105.
Step-by-step explanation:
The wording is sort of unclear, but I drew it out and it seems that they are alternate interior angles. Alternate interior angles are congruent! If this is not the right answer, please tell me and I might be able to tell another one.
Well, technically, it has to be either 75 or 105, because all of the special relationships of triangles are either that they are supplementary or they are congruent. So if it's not 105, try 75 :)
The measure of the angle "g" is also equal to 105 degrees
Find the diagram attached below;
From the diagram, we can see that angle 105 and "g" are situated at the corner on both lines u and w.
This means that both angles are equal according to the alternate interior angle theorem, hence the measure of the angle "g" is also equal to 105 degrees
Learn more here: https://brainly.com/question/1751268
Given the table of values below, which of the following ordered pairs are
found on the graph of the inverse function?
х
-2
-1
0
1
2
f(x)
12
10
8
6
4
Answers
Answer:
(12,-2), (10,-1), (8,0), (6,1) and (4,2).
Step-by-step explanation:
If a function is defined as
[tex]f(x)=\{(x,y):x\in R,y\in R\}[/tex]
then its inverse is defined as
[tex]f^{-1}(x)=\{(y,x):x\in R,y\in R\}[/tex]
It means coordinates of ordered pairs are interchanged.
From the given table it is clear that the function passing through the points (-2,12), (-1,10), (0,8), (1,6) and (2,4).
Using the above definition, we can say that the inverse function passing through the points (12,-2), (10,-1), (8,0), (6,1) and (4,2).
Therefore, the required ordered pairs are (12,-2), (10,-1), (8,0), (6,1) and (4,2).
What is the value of [-12]?
-13
-12
12
13
Answers
Answer:
- 12 is the answer i think
V
Ben and Phoebe are finding the slope of a line. Ben chose two points on the line
and used them to find the slope. Phoebe used two different points to find the
slope. Did they get the same answer? Complete the explanation.
TE
The slope of a line (select)
the same answer.
from point to point, so they (select)
get
PO
Answers
Answer:
They got the same answer
Step-by-step explanation:
A slope is completely linear, and the rate of change is constant, so no matter what points are chosen, the rate of change will be the same.
HI I REALLY NEED HELP ON THIS IT WOULD BE NICE IF I COULD GET SOME HELP AND THANK YOU
Answers
Answer:
The answer is D.
Step-by-step explanation:
The first step would be to multiply 3x^2 and x+2 which gives us D after distributed.
Simplify the following expression.
11 - X 7
Answers
Answer:
11-7x its already simplified
by-step explanation:
multiply
To compute a product; to perform a multiplication.
Meg and Kevin wanted to solve this problem: In 6 hours, Hank the Hiker hiked 24 miles. At that rate, how far can he hike in 9 hours? Meg claimed she could solve the problem by finding Hank’s unit rate of speed in miles per hour. She began by writing the equation: . Explain whether or not she can find the unit rate this way. Then find the unit rate and use it to solve the problem. Show all your work.
Answers
Answer: Hank hike 36 miles in 9 h.
6 hours for 24 miles
9 hours for x miles
[tex]Hank_{rate} =24/6=4\;mi/h[/tex]
[tex]x = Hank_{rate}\times Hours=4\;\frac{mi}{h} \times 9\;mi=36 \;miles[/tex]
The shortest route from London to Cambridge is 60 miles. A lorry is expected to take 1.5 hours to travel this route. The lorry actually travels by a different route which increases the distance by 20%, but it still arrives in 1.5 hours. By how many more mph than the expected speed does the lorry travel?
Answers
Answer: 8 miles per hour
Step-by-step explanation:
Speed = distance / time
When diatance is 60 miles
Speed = 60 / 1.5 = 40 miles per hour
When distance is 20% more (72 miles)
Speed = 72 / 1.5 = 48 mph
