Answer:
Question 1
The equivalent expression of 16 + 36 is 4 × (4 + 9)
Question 2
The factor missing in the given equation is 6
Question 3
The value of the expression 100.4 ÷ 0.25 is 401.6
Step-by-step explanation:
Question 1
The given expression is 16 + 36
Which can be written in the greatest common factor form as 4 × 4 + 9 × 4
Therefore, the greatest common factor = 4
The expression 16 + 36, can therefore be written as 4 × 4 + 9 × 4 = 4 × (4 + 9)
The equivalent expression of 16 + 36 is 4 × (4 + 9)
Question 2
The given equation is 30 + 12 = ___(5 + 2)
Finding the greatest common factor of the terms 30 and 12, we get;
30 + 12 = 6 × 5 + 6 × 2
Therefore, by factorizing, we get;5
30 + 12 = 6 × 5 + 6 × 2 = 6 × (5 + 2)
30 + 12 = 6 × (5 + 2)
Comparing the above equation to the given equation, we get;
30 + 12 = 6 × (5 + 2)
30 + 12 = ___(5 + 2)
Therefore;
6 × (5 + 2) = ___× (5 + 2)
Therefore, the factor missing in the given equation is 6
Question 3
The given expression, 100.4 ÷ 0.25, can be expressed as follows;
(100 + 0.4)/0.25 = 100/0.25 + 0.4/0.25
Multiplying the expression by 100/100 gives;
100/100 × 100/0.25 + 100/100 × 0.4/0.25 = 10000/25 + 40/25
10000/25 + 40/25 = 400 + [tex]1\frac{15}{25}[/tex] = 400 + [tex]1\frac{3}{5}[/tex] = [tex]401\frac{3}{5}[/tex] = 401.6
100.4 ÷ 0.25 = 401.6
The value of the expression 100.4 ÷ 0.25 is 401.6.
At the beginning of the day the stock market goes down 4014 40 1 4 points and stays at this level for most of the day. At the end of the day the stock market goes up 9012" role="presentation">90129012 90 1 2 points from the low at the beginning of the day. What is the total change in the stock market from the beginning of the day to the end of the day? The total change in the stock market is points.Points from the low at the beginning of the day. What is the total change in the stock market from the beginning of the day to the end of the day?
Answer:
124.51%Step-by-step explanation:
In this problem, we are expected to solve for the percentage change, given the opening point and the closing point
given that the low is 4014
and the high is 9012
the formula to calculate the percentage change is given as
%change= (high-low)/low*100
substituting our given data we have
%change= (9012-4014)/4014*100
%change= (4998)/4014*100
%change= (1.2451)*100
%change= 124.51%
The total change in the stock market from the beginning of the day to the end of the day is 124.51%
] Office Warehouse, a national chain of office supply stores, wants to be the exclusive distributor of the Oyster and has guaranteed to purchase 60,000 units over the next two years. What is the lowest price that Sackville Plastics can sell the Oyster for and still breakeven in 2 years?
Answer:
$6.90
Step-by-step explanation:
Apparently the cost function for the Oyster is ...
c(n) = 90,000 +5.40n
Then the cost for 60,000 units is ...
c(60,000) = 90,000 +5.40·60,000 = 414,000
In order to break even, Sackville Plastics must sell these for ...
$414,000/(60,000 units) = $6.90/unit
Frederic read 471 pages of books this month. Jeane read 333 times as many pages as Frederic.
How many pages did Jeane read?
Answer:
804
Step-by-step explanation:
Answer:
Jeane read 1,413
Step-by-step explanation
3 2/3 divided by 3 4/5
if you could can you give it to me now I'm in a hurry
Answer:
3 2/3 divided by 3 4/5 is [tex]\frac{55}{57}[/tex]
Step-by-step explanation:
Operations With Fractions
Let's divide 3 2/3 by 3 4/5. Both fractions are in mixed format, so we have to write them as an improper fraction:
[tex]\displaystyle 3\frac{2}{3}=3+\frac{2}{3}=\frac{9+2}{3}=\frac{11}{3}[/tex]
[tex]\displaystyle 3\frac{4}{5}=3+\frac{4}{5}=\frac{15+4}{5}=\frac{19}{5}[/tex]
We must divide [tex]\frac{11}{3}[/tex] by [tex]\frac{19}{5}[/tex]
To make it simple, we just multiply the first fraction by the reciprocal of the second fraction:
[tex]\displaystyle \frac{\frac{11}{3} }{ \frac{19}{5}}=\frac{11}{3} * \frac{5}{19}=\frac{55}{57}[/tex]
3 2/3 divided by 3 4/5 is [tex]\frac{55}{57}[/tex]
What is the answer to 3x + 6 = 3(2 + x)
Answer:
All real numbers -----> X=0
Step-by-step explanation:
1) 3x + 6 = 3(2 + x) Distribute the 3 on the right side
2) 3x + 6 = 6 + 3x Subtract 3x from both sides
3) 6=6 Subtract 6 from each side
4) 0=0
5) All real numbers
I hope this helps you and good luck on your assignment.
how many litres of milk can be put in six hemispherical bowl each of diameter 35cm
Answer:
Approximately 67.348 litres can be put in six hemispherical bowl with a diameter of 35 centimetres.
Step-by-step explanation:
The volume of a hemisphere ([tex]V[/tex]), measured in cubic centimetres, is obtained from this formula:
[tex]V = \frac{2\pi}{3}\cdot R^{3}[/tex]
Where [tex]R[/tex] is the radius of the hemisphere, measured in centimetres.
We know that radius is the half of the diameter ([tex]D[/tex]), measured in centimetres, then:
[tex]R = 0.5\cdot D[/tex]
([tex]D = 35\,cm[/tex])
[tex]R = 0.5\cdot (35\,cm)[/tex]
[tex]R = 17.5\,cm[/tex]
Now, we get the volume of each hemispherical bowl:
[tex]V = \frac{2\pi}{3} \cdot (17.5\,cm)^{3}[/tex]
[tex]V \approx 11224.649\,cm^{3}[/tex]
The total volume of six hemispherical bowl is:
[tex]V_{T} = 6\cdot V[/tex]
[tex]V_{T}= 6\cdot (11224.649\,cm^{3})[/tex]
[tex]V_{T} = 67347.894\,cm^{3}[/tex]
From Physics we know that 1 litre equals 1000 cubic centimetres. Then:
[tex]V_{T} = 67.348\,L[/tex]
Approximately 67.348 litres can be put in six hemispherical bowl with a diameter of 35 centimetres.
A mechanic charges $60 to inspect your heater, plus $70 per hour to work on it. You owe the mechanic a total of $410. Write and solve an equation to find the amount of time h (in hours) the mechanic works on your heater.
Answer:
($410 - $60) / $70 = 5
After subtracting the $60 base fee, you can just divide the hours paid for by the hourly wage and find out how many hours were worked. Hope this helps!
Which number is rational?
Answer:
We need some numbers to work with to truly answer this. However here's a definition of a rational numbers
A rational number is any number that isn't infinite and non-repeating. So decimals, fractions, repeating numbers/decimals like 1.535353.... (53 is the "pattern") are all rational and fair game. Numbers like pi (π), "imperfect" square roots, etc. that don't repeat and are infinite or NOT RATIONAL.
Hope this helps and have a nice day!
Answer:
You didn't list any options
EASY GEOMETRY** name the angle labeled in blue
Which figure below is a quadrilateral but NOT a parallelogram?
Answer:
Option 1
Step-by-step explanation:
Option 1: For two of the sides, they are not parallel, therefore it is quadrilateral with 4 sides but not a parallelogram.
The total sales for June at Jim’s Candy Store were $7,785. The total sales for June and July were $12,603. What were the total sales for July?
Answer:
$4,818
Step-by-step explanation:
12,603-7,785
Kara is purchasing a television for $229. She put $75.50 down toward the purchase and plans on making 5 monthly payments to pay the remaining balance
Answer:
$30.70Step-by-step explanation:
TV price = $229Down payment = $75.50Payment number = 5Payment amount = xBased on the above, payment amount is:
x = (229 - 75.5)/5 = $30.70Find the range of the relation {(–1, 4), (2, 5), (3, 5)}. Then determine whether the relation is a function.
50 POINTS I NEED THIS ASAP
On Saturday, the bookstore sold x books. On Sunday, the bookstore sold 3 more books than on Saturday. The expression 2x + 3 represents the total number of books sold over the weekend. What does the "2" represent in the expression 2x + 3?
the total number of books sold
how much more books were sold on Saturday
the number of days
the number of books sold on Saturday
Answer:
the number of days
Step-by-step explanation:
Saturday : x books
Sunday: x+3
Saturday + Sunday = x+x+3
Combine like terms
2x+3
The 2 is the number of days
Answer:
The number of day
Step-by-step explanation:
Saturday: x books
Sunday :x +3
Saturday + Sunday = x+x+3
Combine like terms
2x+3
The two is the number of day. ✌️
Hellppp pllzzzzz
Tyyyyy
Answer:
-13
-5
Step-by-step explanation:
32-45=-13
-8-(-3)=-5
Answer:
32-45= -13
-8-(-3)= -5
Look at the verbal statement shown below. Seven decreased by the sum of eight and three times a number, z, is less than twice the difference between z and five. Which inequality can be used to solve for z? A. (3z+8)−7<2z−5 B. 7−(3z+8)<2z−5 C. 7−(3z+8)<2(z−5) D. (3z+8)−7<2(z−5)
Answer:
The correct option is;
C. 7 - (3z + 8) < 2(z -5)
Step-by-step explanation:
The verbal statement on the left hand side of the less than relationship, can be presented as follows;
7 - (8 + 3z)
Similarly, the verbal statement on the right hand side of the less than relationship, can be presented as follows;
2 × (z -5)
The combined statement can therefore, be presented as follows;
7 - (8 + 3z) < 2 × (z -5), which is the same as 7 - (3·z + 8) < 2(z -5) since we have;
(8 + 3z) is equivalent to (3z + 8), the order of arrangement of the terms within the parenthesis will not alter the total value of the terms within the parenthesis, since the signs remain unchanged
The correct option is therefore;
7 - (3z + 8) < 2(z -5).
Find AB if AC = 20 and BC = 8.
А
B
C
1.
AB =
Answer:
12
Step-by-step explanation:
20-8=12
HELP ASAP PLS LIMITED TIME
Answer:
D if my calculus are correct.
m +9 = -3
8
What is the answer for m
Answer:
m=-12
Step-by-step explanation:
Not sure where the 8 comes from, but you would subtract 9 from the left side. The result is -12.
first answer get brainliest
What equation could you use to solve the problem below?
A. 63 × 9 = ?
B. 63 - 9 = ?
C. 63 + 9 = ?
D. 63 9 = ?
Answer:
A. 63 × 9 = ?
plz mark brainliest
Answer:
a. 63 times 9
Step-by-step explanation:
Which is the better buy. A) 3 apple pies for $11 or B) 7 apple pies for 24.50
Answer:
B) 7 apple pies for 24.50
Step-by-step explanation:
11/3=3.66666666666...
24.50/7=3.5
3.5 is less than 3.66666666...
so B is a better buy.
Can I have brainliest!
A dog who is 8 meters from the base of a tree, spots a squirrel in the tree at an angle of elevation of 40 degrees . What is the direct-line distance between the
dog and the squirrel?
Answer:
x=10.4
Step-by-step explanation:
Why is it best to compare medians and interquartile ranges for these data, rather than comparing means and standard deviations? A. Some of these data have vastly different centers, and the median and interquartile range provide more reliable information in these circumstances. B. These data are fairly symmetric and do not have outliers, and the median and interquartile range provide more reliable information in these circumstances. C. Some of these data have outliers and/or are skewed, and the median and interquartile range are resistant to outliers. D. Some of these data have outliers and/or are skewed, and the median and interquartile range amplify the effects of outliers and skewness.
Answer:Some of these data have outliers and/or are skewed, and the median and interquartile range are resistant to outliers.
Step-by-step explanation:
Outliers often characterize a lot of data. Outliers are extreme values which have obvious impact on the value of the standard deviation of a given distribution.
However, the median and interquartile range are resistant to outliers hence they can be used even in the presence of outliers in the distribution.
The best for comparing the medians and interquartile range is the first option
What are outliers?
Outliers refer to the attribute of a lot of data. It is considered to be an extreme value that should have an impact on the value of the standard deviation of a given distribution. But, the median and interquartile range should be resistant to outliers.
Learn more about mean here: https://brainly.com/question/24292263
16=−4(x−1)+4 t helppppppppppp is this answer true?
Answer:
x=-2
Step-by-step explanation:
16= -4x+4+4
16= -4x+8
-8 -8
8/-4= -4x/-4
-2=x
Which of these is true of all irrational numbers?
Answer:
Irrational numbers are non-repeating and non-terminating
Hope that helps!
Step-by-step explanation:
Which expression is equivalent to (3 + 5i)2?
0 -16 + 301
O 6 + 341
0 -16 - 341
O 16 + 301
expression that equivalent to (3 + 5i)² is -16 + 30i.
What are mathematical operations?The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.
Given, an expression ( 3 + 5i)²
Where, "i" is iota that has the value of √-1
Thus, Simplification of the given Expression will be:
=> ( 3 + 5i)²
=>( 3 + 5i)( 3 + 5i)
Using PEMDAS
=> 9 + 15i +15i +5i * 5i
Since i *i = -1
=> 9 + 30i + 25 * -1
=> -16 + 30i
therefore, -16 + 30i expression is equivalent to (3 + 5i)².
Learn more about Mathematical operations here:
https://brainly.com/question/20628271
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Please help I need answers ASAP
4p3 +2p2+19p-5 easy my guy add me on psn it’s xoBoppin
Answer:
ok sure
do you see my invite
plz mark brainelist
Answer:
4p3+2p2+19p-5
Step-by-step explanation:
You need to have like terms to combine numbers, also you might want to put this icon like this: 4p^3+2p^2+19p-5. The ^ helps give the power from the exponent.
Which expression best estimates Negative 18 and one-fourth divided by 2 and two-thirds?
18 divided by 3
Negative 18 divided by 3
Negative 18 divided by (negative 3)
18 divided by (negative 3)
Answer:
-18/3
Step-by-step explanation:
This one please thanks
