Answer:
no solution
Step-by-step explanation:
|4x + 8| + 12= 4
Subtract 12
|4x + 8| = -8
An absolute value must be non negative
Since ours is negative, there is no solution
HELP PLEASE (image) Find the volume of this triangular prism.
the answer is 235 cubic meters
Answer:
V = 240 m^3
Step-by-step explanation:
The volume of a triangular prism is
V = Bh where B is the area of the base and h is the height
B = the area of the triangular base
B = 1/2 bh
B = 1/2 *5*12
B = 30 m^2
The volume is
V = 30 * 8
V = 240 m^3
THEIR AGES
If you add the square of Tom's age to the age of Mary the sum is 62; but if you
add the square of Mary's age to age of Tom, the result is 176. Can you say
what are the ages of Tom and Mary?
Answer:
Tom’s age is 7 years
Mary’s age is 13 years
Step-by-step explanation:
Since we do not know the ages, let’s represent the ages by variables at first.
Let m represent mary’s age will t represent Tom’s age.
Now, let’s proceed to have equations.
Adding square of Tom’s age (t^2) to mary’s age give 62
t^2 + m = 62 •••••••(i)
Adding square of mary’s age (m^2) to Tom’s age give 176
m^2 + t = 176 •••••••(ii)
Now, to get the individual ages, we will need to solve both equations simultaneously.
Solving both equations simultaneously without mathematical softwares can be a little hard.
By the use of mathematical software ( wolfram alpha to be specific), we can input both equations and allow the software to solve.
By inputing these equations, we have the values of t to be 7 and m to be 13
And if we try to check by inspection, we can see that these values are actually correct.
7^2 + 13 = 62
13^2 + 7 = 176
Write the expression in radical form
What is x? will give brainliest whoever answers first and correctly
Answer:
[tex]x = -8[/tex]
Step-by-step explanation:
We can solve for x by isolating it on one side of the equation.
If we're given the equation [tex]3x + 5 - x = x-3[/tex], we can simplify it down.
First let's combine like terms on the left side.
[tex]2x + 5 = x-3[/tex]
Now subtract x from both sides:
[tex]x + 5 = -3[/tex]
Subtract 5 from both sides:
[tex]x = -8[/tex]
Hope this helped!
Answer:
-8
Step-by-step explanation:
Simplify to 2x + 5 = X - 3
Subtract and you end up with x = -3 - 5
HELP ASAP!!!
Which of the numbers below could be terms in the sequence an = 7n+4?
Check all that apply.
A. 36
B. 24
C. 46
D. 32
Answer:
C. 46, D. 32
Step-by-step explanation:
Each term is obtained by adding 4 to a multiple of 7.
Subtract 4 from each choice:
A. 32
B. 20
C. 42
D. 28
Only 42 and 28 are multiples of 7, so the answer is:
C. 46, D. 32
Answer: OPTION C AND D
Step-by-step explanation:
Plug all the numbers given into the expression of sequence in order to find out which number fits in the sequence.
A. 36
an=7n+4
36=7n+4
32=7n
n=32/7
INCORRECT. It is a fraction and it should be integer when showing which term is it in the sequence. (i.e. the first term, second term)
B. 24
an=7n+4
24=7n+4
20=7n
n=20/7
INCORRECT. Same as the reason above, it is a fraction and it should be integer when showing which term is it in the sequence. (i.e. the first term, second term)
C. 46
an=7n+4
46=7n+4
42=7n
n=6
CORRECT. It is a integer.
D. 32
an=7n+4
32=7n+4
28=7n
n=4
CORRECT. It is a integer.
Hope this helps!! :)
Please let me know if you have any question
If Fx) = x - 7 and G(x) = x^3, what is G(F(x))?
A. x^2(x-7)
B. x^2 + x-7
C. x^3.7
D. (x-7)^3
Answer:
[tex]\huge\boxed{Option \ D:f(g(x)) = (x-7)^3}[/tex]
Step-by-step explanation:
[tex]f(x) = x -1\\g(x) = x^3[/tex]
We've to find [tex]f(g(x))[/tex]
Which will be [tex]f(x-7)[/tex]
Putting x in f(x) as x-7
So,
[tex]f(g(x)) = (x-7)^3[/tex]
I went from my house to a playground, 300
metres away in 10 minutes. I ran back and
reached in 2 minutes. What was my average
speed?
Average Speed=Total Distance / Total Time
Converting meter into km
300/1000=0.3km
Average Speed=(0.3+0.3)/12
Average Speed=0.6/12
=0.05km/min
I hope this helps you.
Plz mark me as the Brainliest.
9. A pyramid has a square base with an area
of 144 ft.2 What is the perimeter of the base
of the pyramid?
48 ft
Step-by-step explanation:A = 144ft² = l²
144 = l²
l = √144
l = 12 ft
P = 4l
= 4×12ft
= 48 ft
3(-n+4)+5n=2n
a. n=3
b. no solution
c. infinitely many solutions
Answer:
no solutions
Step-by-step explanation:
3(-n+4)+5n=2n
Distribute
-3n +12 +5n = 2n
2n+12 = 2n
Subtract 2n from each side
12 = 0
This is never true so there are no solutions
Answer:
B. No Solution
Step-by-step explanation:
First, you'll want to distribute 3 through the parentheses (in other words, multiple the parentheses).
[tex]-3n + 12 + 5n = 2n[/tex]
Next, you collect the like terms, in this case, the like terms are -3n and 5n.
[tex]2n + 12 = 2n[/tex]
Finally, you will cancel equal terms on both sides of the equation (which is the 2n).
[tex]12 = 0[/tex]
This makes the statement false for any value of n. Meaning that your answer is B, no solution.
Find the midpoint of the segment with the given endpoints.
(-4,2) and (10,10)
The midpoint is_
Can someone please help me with this and give an explenation please
Answer: show your work and give a clear and understanding explination use a caculator and ask for extra credit work and extra help
Step-by-step explanation:
* make sure to give a word for word explinations and make sure your answer is clear and understanding. If you arent sure wether your answer is correct or not ask for extra credit work and show your work. Try using a caulator
An ordinary (fair) die is a cube with the numbers through on the sides (represented by painted spots). Imagine that such a die is rolled twice in succession and that the face values of the two rolls are added together. This sum is recorded as the outcome of a single trial of a random experiment. Compute the probability of each of the following events.
Event A: The sum is greater than 7.
Event B: The sum is divisible by 4 or 6 (or both).
Answer:
a. 5/12
b. 7/18
Step-by-step explanation:
In this question, we are interested in computing the probabilities.
Firstly, we need to get the sample space of the results. This refer to all possible results that can emerge from the rolling of the two die.
This can be found in the attachment.
What is important to know however is that the total number of possible results is 36;
so let’s compute;
a. For a, let’s circle all sums which are greater than 7 ;
We can see a total of 16 circled sums;
So the probability is 15/36 = 5/12
b. Sum divisible by 4 or 6 or both
Let’s make a circle again ;
So we have a total of 14
So the probability will be 14/36 = 7/18
Please help ASAP it is due today
Answer:
Step-by-step explanation:
What we know
total sum of angles = 540 deg
3/2 b cam also be written as 1.5b degrees.
So 1.5b + (b+45) + (2b - 90) +90 = 540
Step 1 -- get rid of parenthesis
1.5b + b + 45 +2b -90 +90 =540
Step 2 -- combine the like expressions
4.5b + 45 = 540
Step 3 -- subtract 45 from both the sides
4.5b = 495
Step 4 -- divide 4.5 from both the sides
b = 110 ----- not the right answer
Thats not right okay im sorry
but i guess if it is not 110 it should be 100, 90 etc.
90 = b is correct
arrange tho following in ascending order: 2/9, 1/3, 5/12, 1/6
Step-by-step explanation:
5/12, 2/9, 1/6, 1/2 thats the answer
Answer:
2/9=0.22
1÷3=0.33
5÷12=0.41
1÷6=0.16
Step-by-step explanation:
5/12
1/3
2/9
1/6
Evaluate a^2b^2c^2 for a=2, b=3, and c=4
Answer:
576
Step-by-step explanation:
a²b²c² = 2² * 3² * 4² = 4 * 9 * 16 = 576
Please answer, I will give brainliest
Step-by-step explanation:
Hey, there!!
Let's look in your question,
Firstly Mr.Ingerson was in Ghana and bought it in 35000 cedi for a djembedrum.
At that time 1 US dollar= 7000 Cedi.
He paid 35000 cedi.
Us dollar for 35000 cedi = 35000/7000 $.
So, he had bought it in $5.
now,
At present,
The value of 1$ is 5.79 cedi.
As he bought it on same value,
5$ is equal to 5.79×5
= 28.95 cedi.
{ here, as it told that it was bought in same value its value is $5 only but, as the value of $ will be changed into 5.79}.
Hope it helps...
somebody please help and give me the reasons i’ll mark u the brainliest
Reason 1: Given
We basically just restate the given information exactly word for word (symbol for symbol). It may seem redundant, but imagine this proof is something you give to your friend. So you want the proof to be independent and on its own.
=====================================
Reason 2: Addition Property of Equality
We're adding [tex]m \angle MON[/tex] to both sides of the first equation mentioned in statement 1.
=====================================
Reason 3: Substitution
The [tex]m\angle MON[/tex] on the right hand side is replaced with [tex]m\angle IKH[/tex]. This replacement is valid because of the second equation in statement 1.
=====================================
Reason 4: Angle Addition Postulate
This is the idea where we can glue two smaller angles to form a larger angle. Or we can go in reverse to break up a large angle into smaller pieces. This is similar to the segment addition postulate.
=====================================
Reason 5: Substitution
Statement 3 says that LOM+MON = JKI+IKH. Statement 4 says LOM+MON = LON. So this must mean LON = JKI+IKH. Then we use another substitution to say LON = HKJ
5a²b² ×(3a²-4ab+6b²)
Answer:
15a⁴b²-20a³b³+30a²b⁴
Step-by-step explanation:
3a²-4ab+6b²
so for 5a²b²
(5a²b²)(3a²-4ab+6b²)
=15a⁴b²-20a³b³+30a²b⁴
By applying the distributive property, 5a²b² × (3a²- 4ab + 6b²) = 15a⁴b² - 20a³b³ + 30a²b⁴
Given the expression: 5a²b² × (3a²- 4ab + 6b²)
We would apply the distributive property by multiplying every term inside the parentheses by 5a²b².
This can be done as shown below:
5a²b² × (3a²- 4ab + 6b²) = 5a²b²(3a²) - 5a²b²(4ab) + 5a²b²(6b²)
5a²b² × (3a²- 4ab + 6b²) = 15a⁴b² - 20a³b³ + 30a²b⁴
Therefore, by applying the distributive property, 5a²b² × (3a²- 4ab + 6b²) = 15a⁴b² - 20a³b³ + 30a²b⁴Learn more here:
https://brainly.com/question/13106766
Find a three-digit palindromic number which is exactly 19 times the sum of its digits
the number that can exactly 19 is 38
The area of a rectangular countertop is 30 square feet. It is 10 feet long. How wide is it?
Answer:
w = 3 ft
Step-by-step explanation:
The area of a rectangle is given by
A = l*w
30 = 10 *w
Divide each side by 10
30/10 = 10w/10
3 = w
Gregory knows that ABC is reflected onto ABC which statement about the figure is true
Answer:
Option a is right
Step-by-step explanation:
Given that a triangle ABC is reflected in triangle A'B'C'
Here reflection is done on a line
If you imagine the line as a mirror then ABC will have image on the mirror line as A'B'C'
Recall that in a mirror the object and image would be equidistant from the mirror and also the line joining the image and object would be perpendicular to the mirror
But note that corresponding images will only be perpendicular bisector to the line of reflection,
So A and A' only will be corresponding so AA' will have mid point on line
Option 1 is right
Answer:
Its A
Step-by-step explanation:
BECAUSE IM RIGHT
5/6 minus 1/9 I need help!! I would really appreciate
Answer:
0.72
Step-by-step explanation:
5/6 - 1/9 =
(5×9)-(1×6) over (6×9)
= 39/54
=39÷3 over 54÷3
=13/18
Decimal result: 0.72
I asked Google so if this is wrong or unhelpful I'm so sorry.
-8/9x +7/10=-119/30
solve pls
Answer:
x = 5.25
Step-by-step explanation:
subtract 7/10 from both sides of the equation
-8/9x +7/10 - 7/10 = -119/30-7/10
-8/9x = -119-21/30
-8/9x = -140/30
the negative signs cancels out and the right hand side reduced to the lowest tern
8/9x = 14/3
multiply both sides by the reciprocal of 8/9 which is 9/8
9/8 * 8/9x = 14/3 * 9/8
x = 21/4
x = 5.25
the sum of squares of three consecutive numbers is 77 find the numbers
Answer:
4,5,6 are the three consecutive numbers. 16, 25 and 36 are their squares.
Step-by-step explanation:
Let the three consecutive numbers be x, (x+1), (x+2)
Now, the squares of these three numbers are [tex]x^{2} ,(x+1)^{2} ,(x+2)^{2}[/tex]
Sum = 77
∴by the problem ,
[tex]x^{2} +(x+1)^{2}+(x+2)^{2} = 77\\x^{2} +(x^{2} +2x+1)+(x^{2}+4x +4) = 77\\x^{2} +x^{2} +2x+1+x^{2} +4x +4 = 77\\3x^{2} +6x+5 = 77\\3x^{2} +6x = 77-5\\3x^{2} + 6x = 72\\3x^{2} +6x-72= 0\\[/tex]
{Taking 3 common }
[tex]x^{2} +2x- 24 = 0\\[/tex]
{By factorization}
[tex]x^{2} +2x- 24 =0\\ x^{2} +6x-4x-24=0\\x(x+6)-4(x+6)=0\\(x+6)(x-4)=0\\[/tex]
Therfore,
[tex]x= -6,4\\[/tex]
X can't be negetive
∴ [tex]x =4\\x+1=5\\x+2=6[/tex]
The squares of the three consecutive numbers are 16, 25, 36
The three consecutive numbers whose sum is 77 are 4, 5, 6
Match the meaning of each of the following expressions.
1. x added to the sum of five and seven
x - (8 + 2)
2. the sum of eight and two, subtracted from x
8 - x
3. eight added to x
x + (5 + 7)
4. eight subtracted from x
x - 8
5. eight minus x
x + 8
6. five subtracted from n
n - 5
7. the sum of x and itself
x + x
8. the difference of eight and two, added to x
5 - n
9. the sum of n and five
x + (8 - 2)
10. five minus n
n + 5
Answer:
1. x+(5+7)
2.x+ (8-2)
3. (x+8)
4. x-8
5. 8-x
6. 5-n
7.x+x
8. x+ (8-2)
9. n+5
10. n-5
Step-by-step explanation:
the perimeter of a right angled triangle is 30cm and its area is 30cm square then find the side of triangle
Perimeter = a + b + c = 30
Area = 1/2 x a x b = 30
Multiples of 30: 2, 3, 5, 6, 10, 12, 15
For perimeter c = 30- (a+b)
C= sqrt( a^2 + b^2)
Using the possible combinations of the above:
5 and 12:
C = sqrt(5^2 + 12^2) = 13
5 + 12 + 13 = 30 for the perimeter
Area = 1/2 x 5 x 12 = 30
The sides are 5, 12 and 13 cm
Answer:
12 cm, 5 cm, 13 cm
Step-by-step explanation:
Sides of triangle:
a, b, cPerimeter:
P= a+b+c = 30Area:
1/2ab = 30 ⇒ ab = 60As per Pythagorean theorem, side c= √(a²+b²):
a+b+c = 30a+b+ √(a²+b²) = 30a+b - 30= - √(a²+b²)(a+b - 30)²= (- √(a²+b²))²a²+b²+900 + 2ab - 60a - 60b = a²+b²Considering ab = 60
900+120=60a+60b ⇒ a+b = 17Again using ab= 60 to find out sides:
ab=60a(17-a)= 6017a - a² -60 = 0a² -17 a +60= 0Solving the quadratic equation, its positive root is:
a= 12Then we get the rest:
b = 17 - 12= 5c= 30 -17 = 13Venita is factoring the expression 32 a b minus 8 b. She determines the GCF and writes the factored expression as 8 b (4 a minus 0). Which best describes Venita's error? She incorrectly determined the GCF. She subtracted the GCF from the second term in the expression instead of dividing. She divided the GCF into the first term in the expression instead of subtracting. She divided each piece of the expression by different factors.
Answer:
She subtracted the GCF from the second term in the expression instead of dividing.
Step-by-step explanation:
Given the expression 32ab-8b, to find the common greatest factor, we will bring out a function that us common to both terms 32ab and 8b. To do that, we need to first find their individual factors as shown:
32ab = (2×2×2)×2×2×a×(b)
8b = (2×2×2×b)
From both factors, the common terms are the values in parenthesis i.e 2×2×2×b = 8b
Hence the GCF of the expression 32ab - 8b is 8b. On factoring out 8b from the expression we will have;
= 32ab - 8b
= 8b(32ab/8b - 8b/8b)
= 8b(4a-1)
Comparing the gotten equation with Venita's own, 8b(4a-0), we can say that she correctly factored out the GCF but her error was that she subtracted 8b from the second term of the expression instead of dividing by 8b. 8b-8b is what gives her 0 making her expression wrong. She should have divided her second term also by 8b to have 8b/8b which results in 1 instead of 0 that venita got.
Answer:b
Step-by-step explanation:
plz helpaaaaaaaaaaaa
Answer:
Hey there!
1 4/9x+y=2
13x+9y=18
Let me know if this helps :)
The Answer is B.
because
1 4/9x+y=2
13x+9y=18
Hope this helps!
A fruit juice company includes 1.406 ounces of pineapple juice in a 6.45-ounce bottle of a mixed fruit juice. How much of the bottle of mixed fruit juice is NOT pineapple juice
Answer: 5.044 0z is not pineapple juice
Step-by-step explanation:
total amount of mixed fruit juice: 6.45 oz (oz stands for ounce)
pineapple juice: 1.406 oz
total - pineapple juice=not pineapple juice
6.45 - 1.406=5.044 oz
Hope this helps!! :)
Please let me know if you have any questions
Simplify the following expressions.
1. 3( x - 5 ) + 2x - 3
2. 4a - 3 ( 4 - a )
3. -2 ( b - 6 ) + 2
4. 6 - 3 ( 3 + x )
Step-by-step explanation:
1. 3( x - 5 ) + 2x - 3
= 3x - 15 + 2x - 3
= 5x - 18
2. 4a - 3 ( 4 - a )
= 4a - 12 + a
= 5a - 12
3. -2 ( b - 6 ) + 2
= -2b + 12 + 2
= -2b + 14
= 14 - 2b
4. 6 - 3 ( 3 + x )
= 6 - 9 - 3x
= -3 - 3x