Answer:
Put all terms to the side of the equals side, and make sure there are none on the other side. That would be unbalanced if there were terms on the opposite side.
Factor out the problem.
Set each factor of the problem equal to zero.
Solve each new equation.
Check to see if it makes sense by putting your new equation into the original equation.
Help pls
Two digits of the 6-digit number X = 345 * 8* are missing. Fill in the missing digits
so that the number obtained is the smallest possible number that is divisible by 45.
Find X.
The smallest possible number that is divisible by 45 when the blanked place of the number is filled is 345285.
What is the divisible rule of 9 and 5?The divisible rule of 9 and 5 are:
Divisible rule of 9- When the addition of all number is divisible by 9, then that number also divisible by 9.Divisible rule of 5- When a number has a digit 0 or 5 in the last of it, then that number also divisible by 5.Two digits of the 6-digit number are missing.
[tex]X = 345 * 8*[/tex]
The smallest possible number from this is divisible by 45. The factors of 45 are 9 and 5.
[tex]45=9\times5[/tex]
Thus, the 6-digit number which is divisible by 45, must be divisible by 9 and 5.
To be divisible with 5, the number has 0 or 5 in last. So the numbers can be,
[tex]X = 345 * 85\\X=345 * 80[/tex]
For first number, when the blank is filled with number 2 to make sum 9 and for second the blank number should be 7. Thus, the numbers,
[tex]X = 345 285\\X=3457 80[/tex]
Thus, the smallest possible number that is divisible by 45 when the blanked place of the number is filled is 345285.
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work out the height of this triangle with a base,B=2.1mm and an area of, A=39.06mm squared
Answer:
37.2mm
Step-by-step explanation:
A = ½bh
h = (2A)/b
h = (2(39.06))/2.1
h = 78.12/2.1
h = 37.2mm
(Screenshot included need answer quick assignment due today) Select the graph that matches the equation y = 8
5
10
x + 9.
Answer:
C
Step-by-step explanation:
Since the y-intercept is 9 look at the graphs and see which one has the point (0,9) and its gonna be the answer
simplify √(x^2-10x+25) if -5≤x<5
[tex]\\ \rm\Rrightarrow \sqrt{x²-10x+25}[/tex]
[tex]\\ \rm\Rrightarrow \sqrt{x²-5x-5x+25}[/tex]
[tex]\\ \rm\Rrightarrow \sqrt{x(x-5)-5(x-5)}[/tex]
[tex]\\ \rm\Rrightarrow \sqrt{(x-5)(x-5)}[/tex]
[tex]\\ \rm\Rrightarrow \sqrt{(x-5)^2}[/tex]
[tex]\\ \rm\Rrightarrow\pm (x-5)[/tex]
Solution set(for x-5)
{-10,-9,-8,-7,-4,-3,-2,-1,0}for 5-x
{0,-1,-2,-3,-4,-5,-6,-7,-8,-9,-10}Answer:
First, simplify the expression under the square root sign by factoring:
[tex]\implies x^2-10x+25[/tex]
[tex]\implies x^2-5x-5x+25[/tex]
[tex]\implies x(x-5)-5(x-5)[/tex]
[tex]\implies (x-5)(x-5)[/tex]
[tex]\implies (x-5)^2[/tex]
Therefore:
[tex]\implies \sqrt{x^2-10x+25}=\sqrt{(x-5)^2}[/tex]
[tex]\implies \sqrt{x^2-10x+25}=\pm(x-5)[/tex]
[tex]\implies \sqrt{x^2-10x+25}=|x-5|[/tex]
As the domain is -5 ≤ x < 5, then:
[tex]\implies y=-x+5[/tex]
and the range is 0 < y ≤ 10
the distance midpoint between A (-6, 8) & B (6, -2)
Answer:
I think 2
Step-by-step explanation:
6-2is 4 8-6 2 both have common 6 and 2 multiple of 6is 2
0.7x-3.2=1.7
WHAT IS THIS
Answer:
1.7
Step-by-step explanation: Combine multiplied terms into a single fraction
Answer: Heyaa! ~
Your Answer for X = 7
Step-by-step explanation:
How to solve:
Combine multiplied terms into a single fractionFind common denominatorCombine fractions with common denominatorHopefully this helps you! ^
If f(x) => x2 +6, what is the value of f(8)?
Answer:22
Step-by-step explanation: since f(8) so x=8
substitiuting x in 2x+6
f(8)= 2x8+6=22
so f(8)=22
Hope this helps! :)
Is y=x(x+3) a linear function?
Step-by-step explanation:
No. If you distribute the 'x', you get:
[tex]y = {x}^{2} + 3x[/tex]
The function is quadratic due to the exponetial term of x^2
The average age of 3 girls is 17years 4month. the average age of 2 of them is 17years 3month. how old is the third girl
Answer:
1 month oldStep-by-step explanation:
17.4-17.3=.1
that would be 1 moth
Which expression is equivalent to startfraction (2 m n) superscript 4 baseline over 6 m superscript negative 3 baseline n superscript negative 2 baseline endfraction? assume m not-equals 0, n not-equals 0.
The equivalent expression of [tex]\frac{(2mn)^4}{6m^{-3}n^{-2}}[/tex] is [tex]\frac{(2mn)^4}{6m^{-3}n^{-2}}[/tex]
How to determine the equivalent expression?The expression is given as:
[tex]\frac{(2mn)^4}{6m^{-3}n^{-2}}[/tex]
Evaluate the expression on the numerator
[tex]\frac{16m^4n^4}{6m^{-3}n^{-2}}[/tex]
Divide 16 by 6
[tex]\frac{8m^4n^4}{3m^{-3}n^{-2}}[/tex]
Apply the law of indices
[tex]\frac{8m^7n^6}{3}[/tex]
Hence, the equivalent expression of [tex]\frac{(2mn)^4}{6m^{-3}n^{-2}}[/tex] is [tex]\frac{(2mn)^4}{6m^{-3}n^{-2}}[/tex]
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The function is defined over the interval [2, 5]. if the interval is divided into equal parts, what is the value of the function at the right endpoint of the th rectangle?
The value of the function at the right endpoint of the rectangle is 5 +6k/n.
What is the endpoint about?In the question above;
Th width of the interval is said to be (5 -2) = 3.
So, the width of one of n parts of it = 3/n
To solve for the differences that exist between the left end point of the interval and the value of x at the right end of the k-th rectangle, one can say that:
k·(3/n) = 3k/n
Note that the value of x at shows the point of difference added to the interval's left end and thus it will be: 2 + 3k/n
Therefore, the value of the function for the value of x will be:
f(2 +3k/n) = 2(2 +3k/n) +1 = (4 +6k/n) +1
= 5 +6k/n
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what property is illustrated by the statement 3+z=z+3???
Answer: Commutative Property of Addition
Explanation:
This is the rule which says that we can add two numbers in any order.
For example, 3+2 = 2+3 since both sides result in 5. The rule can be extended to involve variables, because variables are placeholders for actual numbers. Also, the rule can be extended to any number of terms and not just two.
A more generalized form of the rule could be something like x+y = y+x
Helpppppppppppppppppppp
Answer:
See below ~
Step-by-step explanation:
Q1
y = (x + 3i)(x - 7)y = x² + 3ix - 7x - 21y = x² + (3i - 7)x - 21Q2
y = (x - √5)(x - i)y = x² - √5x - ix + √5iy = x² - (√5 + i)x + √5iif jane has 3 pars and take 3 pars how many pars would she had left
Answer:
0 pars
Step-by-step explanation:
3-3=0
...........How many 4-digit numbers are neither multiples of 2 nor multiples of 5?
Answer:
3,600
Explanation:
There's nine thousand numbers here, 4,500 of which are even, you will need to subtract mutiples of five from this number, making it even smaller.
subtract the non-even five's (exactly half of the 1800 hundred fives that fit in our little original number, (900!) ) 4,500-900= 3,600. Which should be your answer. :D
Step-by-step explanation:
Zendaya has $700 to spend at a bicycle store for some new gear and biking outfits. assume all prices listed include tax. she buys a new bicycle for $242.33. she buys 3 bicycle reflectors for $7.17 each and a pair of bike gloves for $33.68. she plans to spend some or all of the money she has left to buy new biking outfits for $77.40 each. write and solve an inequality which can be used to determine xx, the number of outfits zendaya can purchase while staying within her budget.
Answer:
she could buy 5 outfits
Step-by-step explanation:
you multiply 7.17 by 3 = 21.51
700 - 21.51 = 678.49
678.49 - 242.33 = 436.16
436.16 - 33.68 = 402.48
402.48 divided by 77.40 = 5
x + 10
Find the value of x
Answer:
Step-by-step explanation:
Comment
All triangles have 180 degrees. In this triangle, there is 1 ninety degree angle. The other two are related.
Equation
x + x + 10 + 90 = 180 Combine the left
Solution
2x + 100 = 180 Subtract 100 from both sides
2x+100-100 = 180-100
2x = 80 Divide by 2
2x/2 = 80/2
x = 40
Answer
x = 40
x + 10 = 40 + 10 = 50
-2x + 4y = 12
5x - 2y = 10
To answer please type altogether with no spaces. For example if your answer is negative three positive four, type (-3,4)
Answer:
(4,5)
Step-by-step explanation:
-2x + 4y = 12
5x - 2y = 10
make them both set to y
4y = 2x + 12 -> y = 1/2x + 3
2y = 5x - 10 -> y = 5/2x - 5
since they're both equal to y, they are equal to each other
1/2x + 3 = 5/2x - 5
2x = 8
x = 4
plug it back in to get y
y = 1/2 (4) + 3
y = 5
D is Midpoint of CE
C = (-5,?) D = (3,10) E = (?,8)
Please help with this, Thank You.
Answer:
[tex]x = 12[/tex]
Step-by-step explanation:
[tex]3x + 9 = 5x - 15[/tex]
[tex]2x = 24[/tex]
[tex]x = 12[/tex]
What is the product of 0 and any number?
Answer:
It will always be 0 because the rule is anything times 0 is 0
Answer:
0
Step-by-step explanation:
Hey there!
The product of any number and 0 is zero
To explain why this is, just think of it visually
So lets say we are visually explaining 7 x 3
Here is a visual explanation
There are 7 strawberries
You take 7 more strawberries
You take 7 more strawberries again
This means that you are taking 7 strawberries 3 times thereby forming the equation, 7 x 3
Now lets say a numeber [tex]x[/tex] times zero is equal to what
Well we can visualize this again
There are [tex]x[/tex] strawberries in a group
You are taking zero of those groups
Meaning there are no groups
So if there are no groups
There are no strawberries
Meaning [tex]x[/tex] times zero is zero
Since [tex]x[/tex] is any number, the statement, the product of 0 and any number is 0 is true
This is why the product of 0 and any number is 0
Answer the question below. Type your response in the space provided. Polygon ABCD is translated to create polygon A′B′C′D′. Point A is located at (1, 5), and point A′ is located at (-2, 1). What is the distance from B to B′ ?
The distance from B to B is 5.
This is because the distance between the original and new coordinates would remain the same. This is because it is done by translation and not because of the rotation. The distance between the two will still remain as 5.
juan went to the sporting goods store. he spent $14 on a batting glove. he spent half of the remaining money on a football. later, he spent $2 on a sports drink. if he had $10 left, how much money did juan take to the sporting goods store? how much did he spend on the football?
Answer: 38 dollars
Step-by-step explanation:
work in reverse (include dollar sign in your answer, I can't get it on my keyboard)10 + 2 = 1212 x 2 = 2424 + 14= 38Estimate 17.26+4.556 by first rounding each number to the nearest tenth. I need help
Answer:
21.9
Step-by-step explanation:
When rounding to the nearest tenth, we are rounding to 1 decimal place.
If the number in the hundredth place is 5 or more, we round up.
If the number in the hundredth place is less than 5, we round down.
17.26 rounded to the nearest tenth is 17.3
as 6 is in the hundredth place, so we round 2 tenths up to 3 tenths.
4.556 rounded to the nearest tenth is 4.6
as 5 is in the hundredth place, so we round 5 tents up to 6 tenths.
Therefore, 17.3 + 4.6 = 21.9
The table below represents a breakdown of food costs for Robert, a traveling
salesman. How much did he spend in total for food on Friday?
A. $45.94
B. $40.80
C. $42.56
D. $41.23
The amount that he spend in total for food on Friday will be $ 40.80. Then the correct option is C.
What is the addition of the numbers?The sum is also know as addition.
The table below represents a breakdown of food costs for Robert, a traveling salesman.
The amount that he spend in total for food on Friday will be
→ 13.30 + 10.76 + 16.74
→ $ 40.80
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Answer:
44.98
Step-by-step explanation:
Of the trains that recently pulled into Westford Station, 16 were full and 4 had room for more passengers. What is the experimental probability that the next train to pull in will be full?
The experimental probability that the next train to pull in will be full is [tex]\rm \frac{4}{5}[/tex]. Probability is the ratio of the favorable event to the total number of events.
What is probability?Probability means possibility. It deals with the occurrence of a random event. The value of probability can only be from 0 to 1. Its basic meaning is something is likely to happen.
The experimental probability that the next train to pull in will be full is found as;
[tex]\rm P= \frac{Favourable}{Total \ outcomes } \\\\\ P(full)= \frac{16}{16+4} \\\\\ P(full)=\frac{16}{20} \\\\ P(full)= \frac{4}{5}[/tex]
Hence, the experimental probability that the next train to pull in will be full is [tex]\rm \frac{4}{5}[/tex].
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Sydney walked 3/4 mile on Monday
5/8 mile on Tuesday, and 1/2 mile on
Wednesday. How far did she walk
Monday through Wednesday?
A 1 1/2 mi
B 1 3/4 mi
C 1 7/8
D 2 1/4
look at the image below lol
Answer:
1.7.
Step-by-step explanation:
2x^3 + 9x^2 - 2x + 8 = 40
Substituting values for x in the range 1 to 2:
when x = (1.1):
f(1.1) = 2(1.1)^3 + 9(1.1)^2 - 2(1.1) + 8 = 19.32.
x = 1.3:
f(1.3) = 25.004
F(1.5) = 32
F(1.6) = 36.032
F(1.7) = 40.436 which is just greater than 40.
So the root is between 1.6 and 1.7.
f(1.65) = 38.19
Therefore the root is > 1.65 and < 1.7
and to 1 DP it is 1.7.
Investments increase exponentially by
26% every 3 years. If you start with a
$2,000 investment, how much money would you have after 45 years?
would you have after 45 years?
First, complete the equation:
Future Amount = 2,000 (1 + [?])
Enter
The amount of money I would have after 45 years with an exponential increase is $64,060.18.
What is the future value of $2000?The formula for calculating future value:
FV = P (1 + r)^n
FV = Future value
P = Present value R = interest rate N = number of years = 45 / 3 = 15 years$2000 x (1.26)^15 = $64,060.18
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what’s -12/2 simplified
Answer:
= -6
Step-by-step explanation:
-12/2
= -6