Answer:RULE 1: The quotient of a positive integer and a negative integer is negative. RULE 2: The quotient of two positive integers is positive. RULE 3: The quotient of two negative integers is positive. If the signs are different the answer is negative.
Hope this helps
Step-by-step explanation:
We used -12 and 3 to demonstrate negative integer divided by a positive integer resulting in -4. We confirmed this by multiplying -4 by 3 to get -12 back.
Explanation:Let's use -12 and 3 as examples for a negative integer and a positive integer respectively. The division sentence would be -12 ÷ 3 = -4. To prove this division is correct using multiplication, you would multiply the quotient by the divisor. So, -4 * 3 = -12, which is equivalent to the dividend. Therefore, the multiplication shows the accuracy of the division.
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what the area of this figure
Let's first start by finding the area of the bigger rectangle.
Area = Length × Width
Area = (4) (3)
Area = 12 ft².
Now, let's find the area of the smaller rectangle.
Area = Length × Width
Area = (4) (1)
Area = 4 ft².
Finally, we need to add the areas of both of the figures to fo find the area of the whole figure.
12 ft² + 4 ft² = 18 ft².
Convert 2.46 Kilometers to centimeters.
Answer:
246000cm
Why: The km to cm formula is:
km/ 0.000010000
What is the absolute value of 0?
It's 0.
By definition, the absolute value of a number [tex]x[/tex] is
[tex]|x|=\begin{cases}x&\text{for }x\ge0\\-x&\text{for }x<0\end{cases}[/tex]
so it follows that |0| = 0.
Intuitively, the quantity [tex]|a-b|[/tex] can be thought of as "the distance between the numbers [tex]a[/tex] and [tex]b[/tex] on the real line". If [tex]a=b=0[/tex], asking about |0| is the same as asking "how far away is 0 from 0 on the number line?" to which we answer, 0.
The absolute value of any number is the positive version of that number.
However, there is an exception which I have provided in the image attached.
Lake Victoria has the largest surface area is 26828 square miles. How much larger is the surface area of Lake Superior 31700
Answer:
[tex]4,872\ mi^2[/tex]
Step-by-step explanation:
The complete question is
Lake Victoria has the largest surface area of all lakes in Africa. Its surface area is 26,828 square miles. How much larger is the surface area of Lake Superior than that of Lake Victoria?
we know that
Lake Superior has a surface area of 31,700 square miles----> see the attached figure
To find out how much larger is the surface area of Lake Superior than that of Lake Victoria, subtract the surface area of Lake Victoria from the surface area of Lake Superior
so
[tex]31,700-26,828=4,872\ mi^2[/tex]
what is 0.00000000055 in scirntific notation
Answer:
5.5 x 10^-10
Step-by-step explanation:
There are 9 zeros descending from the decimal(so that's why its negative) then you count the five as a "number" and then it equals 10. Don't add the last five just one.
Nine more than the quotient of two and a number x
I really need help!!
Answer:
2/x + 9
Step-by-step explanation:
2/x is a fraction, but it also means divided by. More than means flip the addition to the end of the equation.
test the continuity of f(x)=1÷(x-3) at x doesnot equal to 3
Good evening ,
____________________
Step-by-step explanation:
it’s a rational function then it’s continue at all real numbers except when x=3
[tex]\frac{1}{x-3}[/tex] ; x≠3.
:)
Round 503.782 to the nearest tenth
The value 503.782 to the nearest tenth is 503.8
Rounding up to the nearest tenth means we want only a digit to be placed after the decimal point.
Given the value 503.782, this value to the nearest tenth will be 503.8.
Note that 1 was added to the value "7" after the decimal point. This was because the adjacent value "8" is more than 4.
Hence the value 503.782 to the nearest tenth is 503.8
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Final answer:
To round 503.782 to the nearest tenth, the digit in the hundredths place is 8, which is greater than or equal to 5. Therefore, the rounded number is 503.8.
Explanation:
To adjust 503.782 to the closest 10th, we really want to take a gander at the digit in the hundredths place, which is the second digit after the decimal point. It is 7 in this instance.
Since 7 is more prominent than or equivalent to 5, we gather together the digit in the tenths place, which is the primary digit after the decimal point. For this situation, it is 8.
Therefore, 503.8 is obtained by rounding 503.782 to the nearest tenth.
To round 503.782 to the nearest tenth, we look at the digit in the hundredths place, which is 8. Since 8 is greater than or equal to 5, we round up. Therefore, the rounded number is 503.8.
Is this statement true or false?
The range of a list of numbers is the number of numbers in the list.
A:false
B:true
Answer:
A:False
Step-by-step explanation:
What is the measure of <T?
72°
156°
48°
132°
Answer:
132°
Step-by-step explanation:
24+24+T=180
48+T=180
T=132°
Which of the following assist the floor leaders in getting party members to vote in a certain way in both houses of Congress
Answer:
The majority leader and minority leader are elected by their respective party conferences to serve as the chief Senate spokesmen for their parties and to manage and schedule the legislative and executive business of the Senate.
Plz Brainliest?
Anyway, Hope that Helped!
Answer:
Whips
Explanation:
Choose all the statements that are true about this sequence.
60, 66, 72, 78
The value of the first term is 1.
This is an arithmetic sequence.
The value of the third term is 72
The sequence starts at 60 and adds 4 repeatedly.
The sequence starts at 66 and adds 6 repeatedly.
There are four terms in this sequence.
The sequence starts at 60 and adds 6 repeatedly.
This is an arithmetic sequence
The value of the 3rd term is 72
There are 4 terms in this sequence
The sequence starts at 60 and adds 6 repeatedly
Answer:
b, c, f, g
Step-by-step explanation:
Which number sentence is TRUE?
A. 3 ÷ 1 < 0 ÷ 3
B. 0 ÷ 3 > 3 ÷ 3
C. 3 ÷ 1 > 3 ÷ 3
D. 3 ÷ 3 < 4 ÷ 4
The correct option is C. 3 ÷ 1 > 3 ÷ 3.
To solve this problem, we need to evaluate each of the given number sentences to determine which one is true.
A. 3 ÷ 1 < 0 ÷ 3
First, we perform the divisions:
3 ÷ 1 = 3
0 ÷ 3 = 0
Now we compare the results:
3 < 0
This statement is false because 3 is not less than 0.
B. 0 ÷ 3 > 3 ÷ 3
Again, we perform the divisions:
0 ÷ 3 = 0
3 ÷ 3 = 1
Now we compare the results:
0 > 1
This statement is false because 0 is not greater than 1.
C. 3 ÷ 1 > 3 ÷ 3
We perform the divisions:
3 ÷ 1 = 3
3 ÷ 3 = 1
Now we compare the results:
3 > 1
This statement is true because 3 is greater than 1.
D. 3 ÷ 3 < 4 ÷ 4
We perform the divisions:
3 ÷ 3 = 1
4 ÷ 4 = 1
Now we compare the results:
1 < 1
This statement is false because 1 is not less than 1; they are equal.
Therefore, the only true statement is C. 3 ÷ 1 > 3 ÷ 3.
What is the simplified portion of the grouping?
5 + 4 – (102 – 8 × 3) × 4
Answer:
-303 is your answer.
Step-by-step explanation:
What you have to do is PEMDAS.
5 + 4 – (102 – 8 × 3) × 4=
5 + 4 - (102 - 24) × 4=
5 + 4 - 78 × 4=
5 + 4 - 312=
9 - 312=
-303 is your answer.
Answer: 76
Step-by-step explanation:
Mrs. Alvarez asked her class how many hours of TV they watched per day (to the nearest half hour) The results were shown: 0 - 1 hours = 1/6 : 1 1/2 - 2 hours = 5/12 : 2 1/2 - 3 = 1/4 : 3 hours & over = 1/6. What fraction of students watch between 0 and 2 hours of TV a day.
Answer: 7/12
Step-by-step explanation:
Answer:
7/12
Step-by-step explanation:
The problem is asking us to find what fraction of students watch between 0 and 2 hours of TV a day:
The information we have is:
0 - 1 hours = 1/6
1 1/2 - 2 hours = 5/12
We only need this information because it is asking us for 0 to 2 hours.
Now we have to add the fraction of students that watch TV 0-1 hours and the fraction of students watch TV 1 1/2 - 2 hours:
1/6 + 5/12
To be able to solve this we have to have the same denominator and to do it we have to multiply the first fraction by 2:
(1/6) *2 = 2/12
Now we can add:
2/12 + 5/12 = 7/12
We add the numerators and the denominator stays the same.
a certain fish can swim 5 1/2 times faster than a person. if a person can swim 5 2/7 miles per hour, how fast can the fish swim? estimate the answer. then find the exact answer.
I'd estimate about 29 or 30 miles per hour.
The exact answer is 29.0675 miles per hour
5 2/7 x 5 1/2 = 29.0675.
The fish can swim approximately 29 miles per hour, with the exact speed being 29 1/14 miles per hour. This is determined by converting the mixed numbers to improper fractions, multiplying them together, then converting the product back to a mixed number.
Explanation:The subject of this question is mathematics, specifically a real-world application of multiplication of fractions. If a person can swim at a rate of 5 2/7 miles per hour, and the fish swims 5 1/2 times faster, we have to multiply the person's speed by the speed multiplier which is the speed of the fish relative to the person.
Step-by-step explanation:
First, change the mixed numbers to improper fractions. 5 2/7 becomes 37/7 and 5 1/2 becomes 11/2. Multiply the fractions: (37/7) * (11/2), which gives us 407/14. Convert back to a mixed number for the final answer: 29 1/14 miles per hour.
So the fish can swim approximately 29 miles per hour and the exact speed is 29 1/14 miles per hour.
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What percent of 208 is 114.4
Answer:
55%
Step-by-step explanation:
all you have to do is divide 114.4 by 208 to get 0.55, then turn that into a percentage by moving the decimal 2 times to the right.
Answer:
55%Step-by-step explanation:
[tex]\bold{METHOD\ 1}\\\\\begin{array}{ccc}208&-&100\%\\\\114.4&-&p\%\end{array}\qquad\text{cross multiply}\\\\208p=(100)(114.4)\\\\208p=11440\qquad\text{divide both sides by 208}\\\\p=\dfrac{11440}{208}\\\\p=55[/tex]
[tex]\bold{METHOD\ 2}\\\\\text{Calculate the quotient of given numbers and convert it to the percent:}\\\\\dfrac{114.4}{208}=0.55\\\\0.55\cdot100\%=55\%[/tex]
an electrician charges $322 for 7 hours of work. how much does the electrician charge per hour?
Answer:
The electrician charges $46 per hour
Step-by-step explanation:
we know that
An electrician charges $322 for 7 hours of work
so
using proportion
Find out how much does the electrician charge per hour
Let
x ----> the charge per hour
[tex]\frac{322}{7}\frac{\$}{h}=\frac{x}{1}\frac{\$}{h}\\\\x=322/7\\\\x=\$46[/tex]
therefore
The electrician charges $46 per hour
The electrician charges $46 per hour.
The total charge is $322, and the total number of hours worked is 7.
To find the charge per hour, use the formula:
Charge per hour = Total charge / Number of hours
Substitute the given values into the formula:
Charge per hour = 322 / 7
Perform the division:
322 divided by 7 equals 46. Therefore, the electrician charges $46 per hour.
So, the calculation is:
Charge per hour = 46
If the trip takes 3 hours for a total distance of 350 km, travelling at x hours at 120km/h and remaining time at 60 km/h
Answer:
x = 2.8 hours
Explanation
Total distance = 350 km
Time period = 3 hrs
Hence we need to formulate an equation...,
Distance = Speed × Time
; Distance covered travelling at 120 = 120x Since the total time period was 3hrs...then the remaining time is (3 - x)
;Distance covered travelling at 60 = 60(3- x)
The equation is going to be...,
; 120x + 60(3 - x) = 350...since total distance is 350 km
; 120x + 180 - 60x = 350
; 60x = 170....divide both sides by 60
Hence..., x = 2.8 hours
An equiangular triangle is also known as:
acute
right.
regular
obtuse
Answer:
acute
Step-by-step explanation:
because in a equiangular triangle all the angles are exactly 60° ..
soo..
then.. 60° is an acute angle as it is less than 90° ...
thus, an equiangular triangle is also known a s acute triangle
Johann wants to find a rectangular solar panel with an area of 128 cm. If the
width of a panel is 20 cm, what must be the length? Is this an example of
direct variation or inverse variation?
Answer:
The length of rectangular panel is 6.4 cm.
Step-by-step explanation:
We are given the following information in the question:
Area of rectangular solar panel = 128 square cm
Width of panel = 20 cm
We have to find the length of the panel
Formula:
[tex]\text{Area of rectangular panel} = \text{Width}\times \text{Length}\\\Rightarrow 128 = 20\times \text{Length}\\\\\text{Length} = \displaystyle\frac{128}{20} = 6.4\text{ cm}[/tex]
Hence, the length of rectangular panel is 6.4 cm.
This is an example of direct variation as greater would be length and breadth, the greater would be the area.
Todd and Agnes are making desserts. Todd buys
peaches and a carton of vanilla yogurt. Agnes
buys apples and a jar of honey. They bought
the same number of pieces of fruit. Is there a
situation in which they pay the same amount for
their purchases? Explain.
apples
peaches=
$1.25 ea. For peaches
$1 ea. For the apples
YOGUR
HONEY=
$4 for yogurt
$6 for honey
Answer:
If the number of fruits is 8, then Todd and Agnes will pay the same amount for their purchases
Step-by-step explanation:
Let
x ----> the number of pieces of fruit
y ----> the total pay for the purchase
we know that
Todd
[tex]y=1.25x+4[/tex] ----> equation A (peaches plus a carton of vanilla yogurt)
Agnes
[tex]y=1.00x+6[/tex] ----> equation B (apples plus a jar of honey)
Equate equation A and equation B and solve for x
[tex]1.25x+4=1.00x+6[/tex]
[tex]1.25x-1.00=6-4[/tex]
[tex]0.25x=2[/tex]
[tex]x=8\ pieces\ of\ fruits[/tex]
therefore
If the number of fruits is 8, then Todd and Agnes will pay the same amount for their purchases
The course length of the Boston Marathon is about 4.2×104 meters. The course length of the Iditarod Trail Invitational ultra-marathon is about 1.6×106 meters. About how many times as long is the course of the Iditarod Trail ultra-marathon as that of the Boston Marathon?
The course of the Iditarod Trail ultra-marathon is approximately 38.09524 times longer than the course of the Boston Marathon.
Explanation:To find out how many times longer the course of the Iditarod Trail ultra-marathon is compared to the Boston Marathon, we can divide the length of the Iditarod Trail ultra-marathon by the length of the Boston Marathon.
Length of Iditarod Trail ultra-marathon = 1.6x106 meters
Length of Boston Marathon = 4.2x104 meters
Dividing the length of the Iditarod Trail ultra-marathon by the length of the Boston Marathon:
1.6x106 / 4.2x104 = 38.09524
The course of the Iditarod Trail ultra-marathon is approximately 38.09524 times longer than the course of the Boston Marathon.
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The course of the Iditarod Trail ultra-marathon is about 38.095 times longer than the course of the Boston Marathon.
Explanation:To determine how many times longer the course of the Iditarod Trail ultra-marathon is compared to the Boston Marathon, we can divide the length of the Iditarod Trail (1.6×106 meters) by the length of the Boston Marathon (4.2×104 meters). Performing the division, we get:
(1.6×106 meters) / (4.2×104 meters)
= 38.095
The course of the Iditarod Trail ultra-marathon is about 38.095 times longer than the course of the Boston Marathon.
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Write the function representing the graph
Answer:
The function representing the graph is described by two equations, depending on the "x" value
f(x) = (1/3)x + 3 , if x is greater than -3.
f(x) = -x - 5 , if x is less than -3.
Step-by-step explanation:
First, you have to realize that the graph is described by two functions depending on the "x" value and that it is not defined in x= -3.
Then, for "x" values greater than -3, we look at the right line and we took 2 couple of points (-3,2) and (0,3). Using the formula for the slope and the interception with y axis.....
Slope = y2- y1 / x2- x1 = 3 - 2/ 0 - (-3) ⇒ slope = 1/3.
Interception with "y" axis y= 3
⇒ f(x) = (1/3) x + 3.
For "x" values minor than -3, we have to look the left line. Here we used the slope formula and points (-3, -2) and (-5, 0)
Slope = 0 - (-2)/ -5 - (-3) =-1. So, f(x) = -x + b.
Finally we use one of the points to replace in the formula of f(x) to find "b".
-2 = - (-3) + b ⇒ b = -5. ⇒ f(x) = - x -5
Summarizing, f(x) = (1/3)x + 3 , if x is greater than -3.
f(x) = -x - 5 , if x is less than -3.
This should be a very simple question on interior angles adding up to 180º, however, I'm continuously getting it wrong. Help!
Answer:
58°
Step-by-step explanation:
65°+57°=122°
180°-122°=58°
A number is 20 less than its square. Find all such numbers.
Answer:
Step-by-step explanation:
[tex]x = x^{2} - 20[/tex]
[tex]x^{2} - x - 20 = 0[/tex]
[tex](x - 5)(x + 4) = 0[/tex]
[tex]x = -4, 5[/tex]
The two numbers are 5 and -4.
To find a number that is 20 less than its square, we can set up an equation where the number is represented by x. The equation then becomes x = x^2 - 20.
By re-arranging the equation, we get x^2 - x - 20 = 0. This is a quadratic equation which can be solved by factoring or using the quadratic formula.
The factored form of the equation is (x - 5)(x + 4) = 0. Therefore, the solutions for x are 5 and -4, meaning 5 and -4 are the numbers that are 20 less than their squares.
Please help thank you.
Answer:
21
Explanation:
Look at the graph and add up all of the numbers. Hope this helps!
(5,-3), (5,8). Find slope
Answer: 0 slope, horizontal line.
Step-by-step explanation:
when using y2-y1/x2-x1, you would get 8-(-3)/5-5. This simplifies to 11/0, which means that the line would have 0 slope. A line with 0 slope is a horizontal line.
Complete the place value chart for the following number.Write its number name and tell the value of the underlined digit.
6.325 the underlined digit is 2
Answer:
two hundredths
Step-by-step explanation:
6 is in the ones place. 3 is in the tenths place. 2 is in the hundredths place
5 is in the thousandths place.
Answer:
two hundredths
Step-by-step explanation:
its two places after the decimal point
what is 12^2 *12^-4.
Answer:
[tex]\large\boxed{12^{-2}=\dfrac{1}{144}}[/tex]
Step-by-step explanation:
[tex]12^2\cdot12^{-4}\qquad\text{use}\ a^n\cdot a^m=a^{n+m}\\\\=12^{2+(-4)}=12^{-2}\qquad\text{use}\ a^{-n}=\dfrac{1}{a^n}\\\\=\dfrac{1}{12^2}=\dfrac{1}{12\cdot12}=\dfrac{1}{144}[/tex]
Answer:
Step-by-step explanation:
This is the same to have 12^2/12^4
This is equal to have 1/12^2
1/144=0,0069