Answer: -a2 - 2ab - b2 + 25 =
-1 • (a2 + 2ab + b2 - 25)
Final result :
-a2 - 2ab - b2 + 25
Step-by-step explanation:
determine which fraction is larger 3/7 or 1/3 find the common denominator
Answer:
LCM is 21[tex]{:}\leadsto [/tex][tex]\sf {\dfrac {3}{7}}[/tex]
[tex]{:}\leadsto [/tex][tex]\sf {\dfrac {3×3}{7×3}}[/tex]
[tex]{:}\leadsto [/tex][tex]\sf {\dfrac {9}{2}}[/tex]
.[tex]{:}\leadsto [/tex][tex]\sf {\dfrac {1}{3}}[/tex]
[tex]{:}\leadsto [/tex][tex]\sf {\dfrac {1×7}{3×7}}[/tex]
[tex]{:}\leadsto [/tex][tex]\sf {\dfrac {7}{21}}[/tex]
____________________[tex]{:}\leadsto [/tex][tex]\sf {\dfrac {9}{21}}\iff {\dfrac {7}{21}}[/tex]
[tex]{:}\leadsto [/tex][tex]\sf {\dfrac{9}{21}} \gt {\dfrac {7}{21}}[/tex]
[tex]\therefore[/tex][tex]\sf {\dfrac {3}{7}} \gt {\dfrac {7}{21}}[/tex]
One runner has run 15 miles this month and plans to run 2 1/2 miles per day for the rest of the month. Another runner has not yet run this month but plans to run 3 1/4 miles per day for the rest of the month. After how many days will the two runners have run the same number of miles?
Answer:
After 20 days, the two runners will have run the same number of miles
Step-by-step explanation:
The problem can be solved by using equations. However, we'll approach the solution by using pure reasoning and logic, besides calculations.
The first runner has already run 15 miles this month and plans to run 2 1/2=2.5 miles per day for the rest of the month.
The other runner has not yet run and plans to run 3 1/4 = 3.25 miles per day for the rest of the month. Since his running rate is greater than the other runner, they will both eventually have the same number of miles.
The difference in their running rates is 3.25 - 2.5 = 0.75 miles per day. Since the current difference between them is 15 miles, the second runner needs to run for 15 / 0.75 = 20 days.
After 20 days, the two runners will have run the same number of miles
Write the ratio 12 to 18 as a fraction in simplest form.
x to y can be expressed as a fraction this way: x/y.
Let x = 12
Let y = 18
12/18
We can now reduce to lowest terms.
Dividing 12 and 18 by 6, we get 2/3 as the final answer.
The simplified fraction is 2/3. This means that the ratio of 12 to 18 can be expressed as 2/3. It indicates that for every 2 units of the first quantity (12), there are 3 units of the second quantity (18). Simplifying the fraction ensures that there are no common factors other than 1 between the numerator and the denominator, making it the simplest representation of the ratio.
To express the ratio 12 to 18 as a fraction in simplest form, we can divide both numbers by their greatest common divisor (GCD). The GCD of 12 and 18 is 6. By dividing both numbers by 6, we simplify the fraction to its simplest form:
12 ÷ 6 = 2
18 ÷ 6 = 3
Thus, the simplified fraction is 2/3. This means that the ratio of 12 to 18 can be expressed as 2/3. It indicates that for every 2 units of the first quantity (12), there are 3 units of the second quantity (18). Simplifying the fraction ensures that there are no common factors other than 1 between the numerator and the denominator, making it the simplest representation of the ratio.
To know more about simplified fraction:
https://brainly.com/question/29123858
#SPJ6
the deer population in an an area decreased by 28 each year for 6 years. find the total change in population.
Answer:
168 is the change in population
Step-by-step explanation:
well if u think about it all u really have to do is take 28×6 and it would help u find the change in population
Answer:
The total change is -168.
Step-by-step explanation:
The deer population changed 6 times, and it decreased by 28 each time, so the equation is:
6 times -28 (because the population is decreasing) = -168
Hope this helps :)
Difference of Squares gives which complex factors for the expression x2 +3?
A. (x+3)(x-WB)
B. (x-3)(x-3)
C. (x+3)(x-3)?
D. (x+3)(x-31)
Step-by-step explanation:
Shortest way to solve this question is to find the factors of the given expression.
The given expression is (x² + 13).
Now we have to factorize it.
(x² + 13) = x² + (√13)²
= x² + [-(i)²√(13)²] [Since i = √(-1)]
= x² - (i√13)²
= (x - i√3)(x + i√3) [Since (a² - b²) = (a + b)(a - b)]-by-
Please help me you’ll get brainlest last one!!!!!
5/5
Answer:
Point X is the loacation [tex]\pi[/tex], and is an irrational number
Step-by-step explanation:
[tex]\pi[/tex] ≈ 3.14
it is also a irrational number
Jonathan worked at McDonalds 20 hours a week and earned $195. Use the equation 20h = 195 to find Jonathan's hourly wage. *
Answer: 9.75
Explanation:
To find your answer, you need to divide 195 by 20, which is 9.75
find the values of x, y, and z
81
91
99
101
180
i really hate math so please
Answer:
personally i think c
Step-by-step explanation:
its because for the graph there is 90 and it has a point and when i used a calc i put the points and the a=18 so 90 eould be 18 again this what i think i am not really AMAZING at it but i get some of it for ex the chart equals it only equals a=5
6 x 1/4 Multiply 1/4 how many times? Move from 0 to where. Product:
Answer:
Multiply 1/4 six times.
Start from zero and move 1/4 six times.
Product: 1 2/4 Other equivalent fractions: 2/3, 1 4/8, 18/12
Step-by-step explanation:
1. 1/4
2. 1/2 (2/4)
3. 3/4
4. one whole (4/4)
5. 5/4 ( 1 1/4)
6. 6/4 ( 1 2/4) (1 1/2)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
1. 1/4 + 1/4 = 2/4
2. 2/4 + 1/4 = 3/4
3. 3/4 + 1/4 = 4/4
4. 4/4 + 1/4 = 5/4
5. 5/4 + 1/4 = 6/4
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
1/4 times 6. In other ways..
6/4 1/4 times 6/1 = 6/4
Taylor plans to borrow $4,500 from the bank to purchase a used vehicle. If he borrows the money at a rate of 4% interest for 2 years, what is the total amount he will have to pay back to the bank?
Answer:
$4867.2
Step-by-step explanation:
Graph the line that represents the equation pls
Andre wants to make a scaled copy of jada drawing so the side that corresponds to 4 units in jada polygon is 8 units of his scaled copy Andre says i wonder if i should add 4 units to lengths of all of the segments what would you say in response to Andre explain or show your reasoning
Answer:
No she should add extra lengths
Step-by-step explanation:
The difference between scaled copy and jada drawing is that it is in the ratio
8:4
2:1
that is the scaled copy is twice as large as the jada drawing itself.
So every dimension is doubled or made twice as large as the initial measurement. Andre should not add 4 units to all sides instead the drawing is made twice as large . It will serve the same purpose of enlarging the drawing while maintaining its shape. If extra mesurements are added the drawing will be changed.
Please help I hate doing these.
Answer:
Step-by-step explanation:
a). 3 ...... 8
3 × 8 = 24
3 + 8 = 11
b). n + 1.5 = 6.5 ⇒ n = 5 (across from OR to the left from 1.5)
5 × 1.5 = 7.5 (under the X sign)
Hey can someone please help quickly thanks!
Answer:
360,000
Step-by-step explanation:
just multiply by 3
Answer:
3,120 second year 3,244.80 the third year.
Step-by-step explanation:
4% of 3,000 is 120
so 3,120 then 3,244.80 the third year after the 4% is compounded
need helpp!!
Robert spends $30.45 before tax at the bookstore. If the sales tax rate in his city is 7.25%, what is the total cost of his purchase?
Answer:
$32.65 is the answer.
Step-by-step explanation:
First, we must calculate 7.25% of 30.45.
30.45 x 0.0725 = $2.20
Now, we must add this to the original price
$30.45 + $2.20 = $32.65
Therefore, $32.65 is the total cost of his purchase.
Hope this helps! :)
Answer:
$32.66Step-by-step explanation:
before tax = $30.45
tax sales = 7.25%
total cost = $30.45 x 1.0725
= $32.66
NEED ANSWER FAST: Write an equation of the line passing through the points (4,16) and (-1, - 14).
Answer:
y=6x-12
Step-by-step explanation:
y2-y1
--------
x2-x1
Find the area of the shape below
Answer:
????
Step-by-step explanation:
Answer:
where's the shape
Step-by-step explanation:
what's the length and width, maybe I can help
What is the answer for x?
Answer:
x = 15
Step-by-step explanation:
7x + 5x = 180 (because parallelograms are 360 degrees)
add like terms
12x = 180
divide 12 from both sides
[x = 15]
At Emily's summer camp, there are
6 counselors for every 40 girls. How many
counselors should the camp have for 100
girls?
Answer:
15
Step-by-step explanation:
3 counselors for every 20 girls
Answer:
15 counselors
Step-by-step explanation:
The ratio of counselors to girls is 6:40. Set this as a proportion:
[tex]\frac{6}{40}[/tex]=[tex]\frac{x}{100}[/tex]
Cross multiply to solve: 6×100=40x
600=40x
x=15
To satisfy the ratio, there needs to be 15 counselors for 100 girls.
4x+7=43 solving two-step equations
Answer: [tex]x = 9[/tex]
Step-by-step explanation:
[tex]4x=43-7 = 36\\x =36/4 = 9\\x = 9[/tex]
What is the difference between a histogram and a bar graph?
a A histogram presents information in horizontal bars, while a bar graph presents information in
vertical bars
b. A histogram deals with data which displays a normal distribution, while a bar graph deals with
data in any distribution
c. There is no difference. The two terms are synonymous.
d. A histogram deals with continuous data in ordered columns, while a bar graph deals with
discrete data in separate columns
Answer:
d.
A histogram deals with continuous data in ordered columns, while a bar graph deals with discrete data in separate columns.
Step-by-step explanation:
Hello sam hhehehe .dk ;
Answer:
hello
Step-by-step explanation:
Can someone help me with these problems
Answer:
a.2
b.2
c.3x
a.3(x+2)
b.-(2-x)
c.3x-2
Answer:
a.3x+6=3 (x+2)
b.x-2=-(2-x)
15x-10/5=3x-2
1/8 of a number is less than or equal to 3
Answer:
1/8n<3
Step-by-step explanation:
The letter "n" represents the number. Less than or equal to is represented by "<" but with a line under it.
Answer:
1/8n<3
Step-by-step explanation:
what is the value of the expression below when z=4
10z=3
Answer:
37
Step-by-step explanation:
10z=3 and z=4
substitute
10(4)-3
simplify
40-3
answer
37
What is the y-intercept of y = -3 – 7x?
Choose 1 answer:
А
(0,-7)
(В
(0, -3)
(-7,0)
(-3,0)
Answer:
A, sorry if wrong but it can't be b or d
how many solutions does 3x+5=7x-20 have?
Answer:
1
Step-by-step explanation:
hey there,
< 3x-7x = -20-5
-4x = -25
x = [tex]\frac{25}{4}[/tex]
This isn't a square root or anything like that, so you would really only have 1 answer. I'm not sure what your teacher's referring to, though, but maybe they want decimals/mixed fractions?
But I would just put 1 if I were you. >
Hope this helped! Feel free to ask anything else.
The scatterplot shows the average number of hours each of 12 people spends at work every week and the average number of hours each of them spends on recreational activities every week. Based on the scatterplot, what is the best prediction of the average number of hours a person spends on recreational activities every week if that person spends an average of 40 hours at work every week?
A) 17
B) 22
C. 28
D) 33
Answer: 22
Step-by-step explanation: I took the test
Answer:
22
Step-by-step explanation:same but in the past
Hi can you please help me
Answer:
the y-intercept is 5 the slope is 3
Step-by-step explanation: