The solution for the expression is x = -4.
What is an expression?An expression contains one or more terms with addition, subtraction, multiplication, and division.
We always combine the like terms in an expression when we simplify.
We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.
Example:
1 + 3x + 4y = 7 is an expression.com
3 + 4 is an expression.
2 x 4 + 6 x 7 – 9 is an expression.
33 + 77 – 88 is an expression.
We have,
To solve for x in the equation
(9/8)^(3x+12) = 1
we can take the natural logarithm of both sides and use the properties of logarithms to simplify.
ln[(9/8)^(3x+12)] = ln(1)
(3x+12) ln(9/8) = 0 (since ln(1) = 0)
3x + 12 = 0 (since ln(9/8) ≠ 0)
3x = -12
x = -4
Therefore,
The solution is x = -4.
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Which expression is equivalent to 3.7 x + (0.5-6y)+0.8-(1.7x+1-2.3y)?
Answer:
2.0x-8.3y+2.3Step-by-step explanation:
Give the expression 3.7 x + (0.5-6y)+0.8-(1.7x+1-2.3y), to get the equivalent expression we will follow thw steps;
open the parenthesis
3.7 x + 0.5-6y+0.8-1.7x+1-2.3y
collect like terms
= 3.7 x -1.7x -6y-2.3y+0.5+0.8+1
= 2.0x-8.3y+1.3+1
= 2.0x-8.3y+2.3
Hence the equivalent expression is 2.0x-8.3y+2.3
The perimeter of a square picture froame is 48 inches. One side length of the frame si 30.48 centimeters, how many centimeters are in an inch?
4
Step-by-step explanation:
In a study of 600 community college students, 200 of them indicated that they are part-time students. What percent of the students are part-time students?
Which two consecutive integers does −v30
lie between?
A) 5 and 6
B) 6 and 7
C) −5 and −6
D) −6 and −7
Answer:
√
36
=
6
lies between consecutive odd integers
5
and
7
.
Step-by-step explanation:
"The" square root of
36
is itself an integer, namely
6
, since
6
2
=
36
. So it does not lie between consecutive integers.
It does lie between consecutive odd integers
5
and
7
.
Note that
36
has another square root, namely
−
6
, since
−
6
satisfies:
(
−
6
)
2
=
36
I need help asap please
Answer:
y=3x+6, y=5x,
Step-by-step explanation:
1. 4 more than the difference of 8 and a number
Answer:
(8-n) + 4
4+ (8-n)
Step-by-step explanation:
I added 4 because it says "4 more" and I subtracted 8 and a variable because it says the "difference". I used a variable because the number is not specifically defined. I hope this helps!
plz help me do this qutsion its so hard
-2+n=-8(1-8n)+6 solve for n.
-2 + n = -8(1 - 8n) + 6
Distribute the -8
-2 + n = -8 + 64n + 6
Combine like terms.
-2 + n = 64n - 2
Add 2 to both sides and subtract n from both sides.
0 = 63n
Divide both sides by 63
0 = n
48 = 4t + 12
How would I solve this someone please respond fast.
Answer:
t=9
Step-by-step explanation:
Move all terms that don't contain
t to the right side and solve.t=9
Answer:
t=9
Step-by-step explanation:
48=4t+12
Subtract 12 in both sides
36=4t
Divide 4 both sides
9=t
t=9
HELP ME PLS THANK YOU<<<3333
≈ 63.30 ft²
Step-by-step explanation:Heron formula
A = √p(p - a)(p - b)(p - c)
a = 9 ; b = 15 ; c = 20
p = (a + b + c)/2 = (9 + 15 + 20)/2 = 44/2 = 22
A = √22(22-9)(22-15)(22-20)
= √22×13×7×2
= √4004
≈ 63,27
≈ 63.30 ft²
Help my teacher hates me enough already.
Answer:
jh
Step-by-step explanation:
uirhgurhehgu5rhginiurogherughre hiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii
Answer: 6.72 x 10^-5. The number is an extremely small number that started out as 6.72. You would divide the number by 10, so many times to get this number. Since the number is small, the exponent is negative. The exponent tells how many times the decimal point will be moved to the left. If the number started as 6.72 and is now 0.0000672, that means that the decimal point moved 5 times to the left.
- 60= - 24 + 12r
How do I solve this problem and what are the steps to solve the problem
Answer:
r = -3
Step-by-step explanation:
- 60= - 24 + 12r
Add 24 to each side
- 60+24= - 24+24 + 12r
-36 = 12r
Divide each side by 12
-36/12 = 12r/12
-3 =r
what is 2 (x+2) + 3x =2 (x+1) + 1
Step-by-step explanation:
2x+4 +3x = 2x +2 +1
4+x= 2x+3
4-3=2x-x
1=x
x=1
Find the length of the missing side. Sorry, I’m just really bad with algebra!
to classify numbers first do have to simplify fractions or roots
Answer:
simplify
Step-by-step explanation:
just simpify then theres an answer waiting for you to jearney on
6) -4(3 + 5x) + 10(8x + 4)
Answer:60x+28
Step-by-step explanation:
Ms. Lady works-out with Ms. Beetle; her average crawling time has increased to 4 feet per minute, while Ms. Beetle, who is used to eating Hot Cheetos and watching TV, averages 2.5 feet per minute. While at Senn's Elm Tree-house, the three decide to experiment with linear equations. The objective is to end up at the Rose Bush at the same time. Senn still averages 5 feet per minute. How much of a head start does he need to give each of his friends in order for their function rules to intersect at 92 feet (the rose bush). What is the equation for each bug which makes their experiment successful? Create a table and graph representing the situation.
Answer:
Senn needs to give Ms. Lady 4.6 minutes head start
Senn needs to give Ms. Beetle 18.4 minutes head start
The equation for each bug are;
For Senn, the equation for the experiment is 5 × t₁ = 92 feet
For Ms. Lady, the equation for the experiment is 4 × (t₁ + 4.6) = 92 feet
For Ms. Beetle , the equation for the experiment is 4 × (t₁ + 18.4) = 92 feet
Please find attached the required graph and table of values
Step-by-step explanation:
The given parameters are;
The average crawling time of Ms. Lady = 4 feet per minute
The average crawling time of Ms. Beetle = 2.5 feet per minute
The average crawling time of Senn = 5 feet per minute
The distance to the rose bush = 92 feet
Therefore, we have;
The time, t, duration for Senn to arrive at the Rose bush is given by the following relation,
Time, t = Distance, d/(Speed, s)
Given that the speed of the bugs is equal to their average crawling time, we have
For Senn
Time, t = 92/(5 ft/Min) = 18.4 minutes
For, Ms. Lady
Time, t = 92/(4 ft/Min) = 23 minutes
For, Ms. Beetle
t = 92/(2.5 ft/Min) = 36.8 minutes
Therefore;
Senn needs to give Ms. Lady 23 - 18.4 = 4.6 minutes head start
Similarly, Senn needs to give Ms. Beetle 36.8 - 18.4 = 18.4 minutes head start
The equation for each bug are therefore;
For Senn, the equation for the experiment is given as follows ;
5 × t₁ = 92 feet
For Ms. Lady, the equation for the experiment is given as follows;
4 × (t₁ + 4.6) = 92 feet
For Ms. Beetle , the equation for the experiment is given as follows;
4 × (t₁ + 18.4) = 92 feet.
If 3^1-x +3^1+x = 90, Find the value of x
Answer:
[tex]x=\log_3{(15+ 4\sqrt{14})}\approx3.0949\text{ or } \\x=\log_3{(15- 4\sqrt{14})}\approx-3.0949[/tex]
Step-by-step explanation:
So we have the equation:
[tex]3^{1-x}+3^{1+x}=90[/tex]
First, note that this is the same as:
[tex]3\cdot 3^{-x}+3\cdot 3^x=90[/tex]
Factor out a 3:
[tex]3(3^{-x}+3^{x})=90[/tex]
Divide both sides by 3:
[tex]3^{-x}+3^x=30[/tex]
Change the negative exponent into a fraction:
[tex]\frac{1}{3^x}+3^x=30[/tex]
Multiply both sides by 3^x:
[tex]3^x(\frac{1}{3^x}+3^x)=(30)(3^x)[/tex]
Distribute:
[tex](1)+(3^x)^2=30(3^x)[/tex]
Let u equal 3^x. So:
[tex]1+u^2=30u[/tex]
Subtract 30u from both sides:
[tex]u^2-30u+1=0[/tex]
This is a quadratic. Solve using the quadratic formula. A is 1, b is -30, and c is 1. So:
[tex]u=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
Substitute:
[tex]u=\frac{-(-30)\pm \sqrt{(-30)^2-4(1)(1)}}{2(1)}[/tex]
Simplify:
[tex]u=\frac{30\pm \sqrt{900-4}}{2}[/tex]
Subtract:
[tex]u=\frac{30\pm \sqrt{896}}{2}[/tex]
Simplify:
[tex]u=\frac{30\pm 8\sqrt{14}}{2}[/tex]
Simplify:
[tex]u=15\pm 4\sqrt{14}[/tex]
Substitute back u:
[tex]3^x=15\pm 4\sqrt{14}[/tex]
Take the log to base 3 of both sides:
[tex]\log_3{3^x}=\log_3{15\pm 4\sqrt{14}}[/tex]
The left side cancels:
[tex]x=\log_3{15\pm 4\sqrt{14}}[/tex]
So, our solutions are:
[tex]x=\log_3{(15+ 4\sqrt{14})}\approx3.0949\text{ or } \\x=\log_3{(15- 4\sqrt{14})}\approx-3.0949[/tex]
And we're done!
What is the value of a?
a-2 = 3462
Step-by-step explanation:
a-2=3+6a/3
By cross multiply
3(a-2)=3+6a
3a-6=3+6a
-6-3=6a-3a
-9=3a
a=-3
2
(2+1) - 4 x 5 + 31
Answer:
14
Step-by-step explanation:
Here's where you'll use the infamous PEMDAS, which just means how to solve the equation in order.
P means parentheses
E means exponents
M means multiplication
D means division
A means addition
S means subtraction
So start with P. Here we have (2+1) so that becomes 3. Which then turns the equation into: 3 - 4 × 5 + 31. Next Is E but since there are no exponents here you skip that step. Next is M. You have 4 × 5 which is 20 so the equation then becomes: 3 - 20 + 31. Next is D but since there's nothing to divide you can skip that too. You can actually go right ahead and solve it here because in PEMDAS you can actually just do all MD problems together from left to right, same as and AS problems in order from left to right, instead of doing M and then D or A and then S.
(I made a careless mistake in the original post, this should be the correct answer)
Solve this equation for x: 3x - (5x - 9) - 7- 4(x + 1)
Step-by-step explanation:
this is your answer..........
{{3x + 6}/2- 4}/2 + 12/2=10
the solution for x is:
A). x = 4
B). x = -4
C). x = -2
D). x = 2
Answer:
The answer is D). x=2
Step-by-step explanation:
Mandie is making 15 cups of fruit salad. What ratio of grapes to blueberries should she use?
Answer: She should us a ratio of 1:5 for grapes to blueberries
Step-by-step explanation:
Blueberries are a lot smaller than a typical grape, hence you should have 5 blueberries for every grape. Hence, the 1:5 ratio.
Answer:
(C)
Step-by-step explanation:
12:3
Saritha will construct a rectangle that has a height of 4 units and an area of up to 48 square units. Which inequality represents all the possible lengths in units of the bases, b, that Saritha can use to construct this rectangle?
Given:
Height of rectangle = 4 units
Area of rectangle up to 48 square units.
To find:
The inequality which represents all the possible lengths in units of the bases.
Solution:
Let the possible lengths in units of the bases be b.
Area of rectangle = Length × width
Here, Height of rectangle = width = 4 units. So, area of rectangle is
[tex]Area=b\times 4[/tex]
[tex]Area=4b[/tex]
Area of rectangle up to 48 square units. It means the area should be less than or equal to 48 square units.
[tex]4b\leq 48[/tex]
Divide both sides by 4.
[tex]b\leq \dfrac{48}{4}[/tex]
[tex]b\leq 12[/tex]
Length can not be negative or zero.
[tex]0<b\leq 12[/tex]
Therefore, the required inequality is [tex]0<b\leq 12[/tex].
Answer:
H) b ≤ 12
Step-by-step explanation:
48/4 = 12.
12 is the only one you can divide into 48 equally.
X 48 ÷ 192: Can't do
X 48 ÷ 44: Can't do
X 48 ÷ 52: Can't do
√ 48 ÷ 12 = 4
First person to answer gets brainliest find the domain and range of the following absolute value functions. F(x)=|3x-4|
Domain:
( − ∞ , ∞ ) , { x | x ∈ R }
Range:
[ 0 , ∞ ) , { y |y ≥ 0 }
The cost of a water heater is $550. Tax is 8%. How much tax will they pay for the water heater?
Type the correct answer in each box. Use numerals instead of words.
Kendal is waiting at a crosswalk 540 meters away from the library. She begins riding her bike toward the library and then passes the
library at a constant rate of 6 meters/second.
Kendal will be 60 meters away from the library after
seconds and again after
seconds.
Answer
Kendal will be 60 meters away from the library after 80 seconds and again after 100 seconds.
Step-by-step explanation:
Let t represent time in seconds. Kendal is riding at a rate of 6 meters/second, so 6t represents the distance she can travel in t seconds.
The distance to the library is 540 meters. Because Kendal is riding toward the library, subtract 6t from 540 to find the distance between Kendal and the library before she passes it:
540 − 6t.
Kendal will be 60 meters away from the library twice, once as she approaches it and again after she passes it. The absolute value of the difference 540 − 6t represents Kendal's distance from the library. To find the time after which Kendal will be 60 meters away from the library, form an absolute value equation:
|540 − 6t| = 60.
Solve an absolute value equation by writing it as two separate linear equations and solving each one:
540 − 6t = -60 540 − 6t = 60
-6t = -600 -6t = -480
t = 100 t = 80
Let t represent time in seconds. Kendal is riding at a rate of 6 meters/second, so 6t represents the distance she can travel in t seconds.
The distance to the library is 540 meters. Because Kendal is riding toward the library, subtract 6t from 540 to find the distance between Kendal and the library before she passes it:
540 − 6t.
Kendal will be 60 meters away from the library twice, once as she approaches it and again after she passes it. The absolute value of the difference 540 − 6t represents Kendal's distance from the library. To find the time after which Kendal will be 60 meters away from the library, form an absolute value equation:
|540 − 6t| = 60.
Solve an absolute value equation by writing it as two separate linear equations and solving each one:
540 − 6t = -60 540 − 6t = 60
-6t = -600 -6t = -480
t = 100 t = 80
The answer is 80
What is Algebra?algebra is the branch of mathematics that helps in the representation of problems or situations in the form of mathematical expressions. it involves variables like x, y, z, and mathematical operations like addition, subtraction, multiplication, and division to form a meaningful mathematical expression.
Given:
Kendal is riding at a rate of 6 meters/second
The distance to the library is 540 meters.
Let x represent time in seconds
So, kendal travel = 6x
So, distance between Kendal and the library before she passes it:
=540 − 6x.
Now, Kendal will be 60 meters away from the library.
Kendal will be 60 meters away from the library
540 − 6x= 60
-6x= 60-540
-6x= -480
x= -480/-6
x= 80
Hence, the answer is 80
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your cell phone plan cost $39.99 per month plus $0.13 for each text message you send or receive. you have a most $46 to spend on your cell phone bill. what is the maximum number of text messages that you can send or receive next month?
Answer:
55.87
Step-by-step explanation:
Answer:
46 messages.
Step-by-step explanation:
The top got cut off a bit, it says "Make the same/similar inequality as the other problem:"
Which is correct from greatest to least
1 1/3 divided by 3/5 and i wil name brainliest
Answer:
2 2/9
Step-by-step explanation:
Convert any mixed numbers to fractions.
Then your initial equation becomes:
4/3÷3/5
Applying the fractions formula for division,
=4×5
3×3
=20/9
Simplifying 20/9, the answer is
=2 2/9
Answer:
[tex]\frac{20}{9}[/tex] or [tex]2\frac{2}{9}[/tex] or [tex]2\frac{1}{3}[/tex]
Step-by-step explanation:
[tex]1\frac{1}{3} = \frac{4}{3}[/tex] and [tex]\frac{3}{5}[/tex]
to
[tex]\frac{4}{3}[/tex] divided by [tex]\frac{3}{5}[/tex]
↑
flip the second number
[tex]\frac{4}{3}[/tex] divided by [tex]\frac{5}{3}[/tex]
but instead of divison it becomes multiplication,
[tex]\frac{4}{3}[/tex] × [tex]\frac{5}{3}[/tex]
=
[tex]\frac{20}{9}[/tex]
Mixed number form is:
[tex]2\frac{2}{9}[/tex]
or
Simplify:
[tex]2\frac{1}{3}[/tex]