Answer:
[tex]x=4[/tex]
Step-by-step explanation:
[tex]1.5(x + 4) - 3 = 4.5(x - 2)[/tex]
[tex]1.5x+6-3=4.5x-9[/tex]
[tex]1.5x+3=4.5x-9[/tex]
[tex]3+9=4.5x-1.5x[/tex]
[tex]12=3x[/tex]
[tex]x=4[/tex]
Answer:
[tex]x = 4[/tex]
Step-by-step explanation:
[tex]1.5(x + 4) - 3 = 4.5(x - 2) \\ 1.5x + 6 - 3 =4.5x - 9 \\ 6 - 3 + 9 = 4.5x - 1.5x \\ 12 = 3x \\ \frac{12}{3} = \frac{3x}{3} \\ x = 4[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
Marissa is painting her rectangular patio, with the exception of a bench that does not need to be painted: rectangle with a length of x plus 15 and width of x plus 10 with a rectangle in the bottom right corner labeled bench that has a length of 5 and width of 1
a=(x+20)(x+11)
a=(x+15)(x+10) + 5
a=(x+15)(x+10) - 5
a=(x+9)(x+10)
Answer:
C
Step-by-step explanation:
A patio=(x+15)*(x+10)
A bench=5*1=5
A painted=A patio-A bench
A painted=(x+15)*(x+10)-5
thus, the answer is C
The painted area is [tex]a=(x+15)(x+10)-5[/tex]. So, option C is correct.
Important information:
Length of rectangular patio is (x+15).Width of rectangular patio is (x+10).Length of bench is 5.Width of bench is 1.Area of rectangle:Area of a rectangle is:
[tex]A=Length \times Width[/tex]
Area of rectangular patio is:
[tex]A_1=(x+15)(x+10)[/tex]
Area of bench is:
[tex]A_2=5\times 1[/tex]
[tex]A_2=5[/tex]
The painting area is:
[tex]a=A_1-A_2[/tex]
[tex]a=(x+15)(x+10)-5[/tex]
Therefore, the correct option is C.
Find out more about 'Area of rectangle' here:
https://brainly.com/question/3133832
Please answerr giving brainliest to correct answer
Answer:
[tex]$\text{P(Choose Cab Once)}=\frac{4}{9} $[/tex]
Step-by-step explanation:
In the morning Elizabeth has three transportation options to work.
It is [tex]$\frac{1}{3} $[/tex] :
In the evening Elizabeth has the same three transportation options to go home.
It is [tex]$\frac{1}{3} $[/tex] again.
But if we consider that she will take the cab once, the options will change to [tex]$\frac{2}{3} $[/tex] because now she can choose 2 options out of 3.
[tex]$\text{P(no cab) }= \frac{2}{3} $[/tex]
In order to use the cab once, we have two options:
She will use the cab in the morning or she will use the cab in the evening:
First route (cab in the morning):
[tex]$\text{Route 1}=\text{P(Choose Cab) } \cdot \text{P(Choose another one)} $[/tex]
[tex]$\frac{1}{3} \cdot \frac{2}{3} $[/tex]
Second route (cab in the evening):
[tex]$\text{Rote 2}=\text{P(Choose another one) } \cdot \text{P(Choose Cab)} $[/tex]
[tex]$\frac{1}{3} \cdot \frac{2}{3} $[/tex]
We have two routes, so
[tex]\text{P(Choose Cab Once)}=\text{Route 1}+\text{Route 2}[/tex]
[tex]$\text{P(Choose Cab Once)}=\frac{1}{3} \cdot \frac{2}{3} +\frac{1}{3} \cdot \frac{2}{3} $[/tex]
[tex]$\text{P(Choose Cab Once)}=\frac{2}{9} \cdot \frac{2}{9} $[/tex]
[tex]$\text{P(Choose Cab Once)}=\frac{4}{9} $[/tex]
The area of a square is 81cm squared . What is the perimeter of the square?
Answer:
36 cm
Step-by-step explanation:
The area of a square is given by
A = s^2
81 = s^2
Take the square root of each side
9 =s
We want the perimeter
P =4s
P= 4*9
P = 36
Write each as a percent. Round to the nearest tenth of a percent
Answer:
[tex]10.7\%[/tex]
Step by step explanation
hope this helps
brainliest appreciated
good luck! have a nice day!
Step-by-step explanation:
0.107
= 0.107/100 × 100 = 0.107 %
Please help! Ty :D WILL GIVE BRAINLIEST
Kevin spends $11.25 on lunch every week during the school year. If there are 35.5 weeks during the school year,
how much does Kevin spend on lunch over the entire school year? Remember to round to the nearest penny.
Answer:
$376.88
Step-by-step explanation:
11.25 x 33.5= 376.875. So round up 376.88
A square rug has an area of 100 square feet. What is the length of one side of the rug?
Answer:
10 ft
Step-by-step explanation:
Square root of 100 = 10
Answer:
10 feet
Step-by-step explanation:
To find the length of a square side using the area, what you need to do is find the square root of the area because a square area is the side length squared soooo.
[tex]\sqrt{100} =10[/tex]
30% of blank equals 12
Answer:
40
Step-by-step explanation:
If you divide 30 by three, you get the 10%, which is 4, you multiply the 10% by ten to get the 100%, and you get 40. Hope this helps:)
Zac invests $3500 at 8% p.a. simple interest for a period of time, to produce $210 interest. For how long did he invest the money?
Please help me in the steps to finding the answer and also the solution. Thx
Answer:
9 months
Step-by-step explanation:
simple interest ( I) is calculated as
I = [tex]\frac{PRT}{100}[/tex]
P is the principal, R the rate of interest and T the time in years
Here I = 210, P = 3500 and R = 8, thus
210 = [tex]\frac{3500(8)T}{100}[/tex] = 35 × 8T = 280T ( divide both sides by 280 )
0.75 = T
Thus T = 0.75 years = 9 months
The money was invested for 9 months
Answer:
9 months
Step-by-step explanation:
investment= 3500
interest rate= 8% PA simple
time= x years
Interest= $210
---------------
3500*0.08*x=210280x=210x=210/280=3/4 year3/4 year= 3/4*12 month= 9 months
Write a compound inequality for the graph shown below.
Use x for your variable.
Answer:
-3 < x ≤ 4
Step-by-step explanation:
x is between -3 and 4, but -3 is not included in the solution set:
-3 < x ≤ 4
One month Mr. Moore made 3 withdrawals of $20 and 1 withdrawal for $80 from his account. How did the withdrawals change the amount in his account?
Answer:
65 :)
Step-by-step explanation:
Your initial investment of $20,000 doubles after 10 years. If
the bank compounds interest quarterly, what is your interest
rate?
Answer:
2,000
20,000 *10 /100
this is the answer and this is how to solve it
Which is an equation of the line with a slope of 2 that passes through (3,−5)?
A. y+5=2(x−3)
B. y−5=2(x+3)
C. y−5=3(x−2)
D. y+5=3(x−2)
Answer:
equation of a line= y-y¹=m(x-x¹)
y--5=2(x-3)
y+5=2x-6
y=2x-6+5
y=2x-1
I need help ASAP!!!!!
Which expression is equivalent to
Answer:
the expression is equivalent to x^2/3
Step-by-step explanation:
[x^4/3 x^2/3]^1/3
=[x^4/3+(2/3)]^1/3
by using laws of exponent
a^m a^n=a^m+n
=[x^4/3+2/3]^1/3
=[x^6/3]^1/3
={x^2]^1/3
by using law of exponent
(a^m)^n=a^mn
=x^2×1/3
=x^2/3
i hope this will help you :)
Answer:
x^2/3
option B is the right option
solution,
[tex]( {x}^{ \frac{4}{3} } . {x}^{ \frac{2}{3} }) ^{ \frac{1}{3} } \\ = ({x ^{ \frac{4}{3} + \frac{2}{3} } )}^{ \frac{1}{3} } \\ = ({x}^{ \frac{4 + 2}{3} } ) ^{ \frac{1}{3} } \\ = ( {x}^{ \frac{6}{3} } ) ^{ \frac{1}{3} } \\ = {x}^{ \frac{6 \times 1}{3 \times 3} } \\ = {x}^{ \frac{6}{9} } \\ divide \: 6 \: and \: 9 \: by \: 3 \\ = {x}^{ \frac{2}{3} } [/tex]
hope this helps...
Good luck on your assignment...
If we are given x such that 25^x-9^y=18 and 5^x-3^y=3, compute 5^x+3^y.
25 = 5*5 and 9 = 3*3, which we can exploit to write
[tex]25^x-9^y=(5^2)^x-(3^2)^y=5^{2x}-3^{2y}=(5^x)^2-(3^y)^2[/tex]
so that this expression is actually a difference of squares. We can factorize this to get
[tex](5^x-3^y)(5^x+3^y)=18[/tex]
and given that [tex]5^x-3^y=3[/tex], we divide both sides by this to get
[tex]5^x+3^y=\dfrac{18}3=\boxed{6}[/tex]
help please Solve 2x2 − 8x = −7
What are the coordinates of the image of L for a dilation with center (0, 0) and scale factor 4?
Answer:
The vertices of ABCD:
A ( - 3, 1 )
B ( 4 , - 3 )
C ( 1, 3 )
D ( - 1 , 4 )
∴ ( 4 x, 4 y ):
A ` ( - 12, 4 )
B ` ( 16, - 12 )
C ` ( 4, 12 )
D ` ( - 4 , 16 )
Step-by-step explanation: I hope this helps! ™(*/ω＼*)
Find the value of x in this polygon
given the following, find the values of all six trig functions of x.
1. sin((π/2)-x)=-1/2, csc(x)>0
2. sec((π/2)-x)=3, cos(x)<0
What is csc in the first one?
steve has scored the following points in his last five basketball games: 14,8,8,13,5. How many points must be score in the next game to average 11 points per game
Answer:
18
Step-by-step explanation:
14 + 8 + 8 + 13 + 5 = 48. 48 + 18 = 66. 66 / 6 = 11.
im just doing this for the points lol / / / pay back
Find the slope of the line that contains the points named.
A (0, d), B(d, 0)
undefined
0
-1
Answer:
-1
0-d/d-0 = -d/d=-1
Answer:
-1
Step-by-step explanation:
Hope this helps.
2) An employee makes a job change. Her original salary was $65,000, and her salary at her new job is $54,000. What percent decrease was her salary change?
Please show your work for full credit.
Answer:
An employee makes a job change.
Her original salary was S1 = $65,000.
Her salary at her new job is S2 = $54,000.
=> The percentage of change in her salary:
C = (|S2 - S1|/S1) x 100 = (|54000 - 65000|/65000) x 100 = 16.9%
Hope this helps!
:)
Answer:
Step-by-step explanation:
Decreased amount =65,000 - 54,000 = $ 11000
[tex]Percentage=\frac{11000}{65000}*100\\\\=\frac{1100}{65}\\\\[/tex]
=16.92%
what is the volume of the cone to the nearest whole unit ?
A truck is bought at the price of $67,000. The price decreases at the rate of .30 every year (t). Which equation matches this exponential model?
Answer:
f(t)=67,000(.70)t
Step-by-step explanation:
correct answer on my test
Answer:
f(t) = 67,000(.70)t
Step-by-step explanation:
took the test and got it right
hope this helps
Help me plz ASAP!! Will mark Brainliest if you figure it out! 10 points!
Answer:
60%
Step-by-step explanation:
18,000 / 8% = 1440
1,440 + 2,400 = 3,840
1,440 / 2,400 = 0.60
Answer:
60 persent
Step-by-step explanation:
because i also do study island
and i already did that leasonn
A square has a side length of 12 cm. Which of the following is closest to the length of its diagonal Your answer: 9 cm 12 cm 12 square root of 2 cm 24 square root of 3 c m
Answer:
[tex]12\sqrt{2}[/tex]
Step-by-step explanation:
The formula for diagonal of the square:
[tex]d=\sqrt{2} a[/tex]
[tex]d=\sqrt{2} \times 12[/tex]
I need help with this pls
Answer:
Look at the attachment
Answer:
See below;
Step-by-step explanation:
For each consecutive vale of x, simply substitute into the chart as x, solving for the output of y;
Input ( x ) | Function Rule ( y = x / 2 ) | Output y |
0 | y = 0 / 2 | 0 |
1 | y = 1 / 2 | 0.5 |
2 | y = 2 / 2 | 1 |
4 | y = 4 / 2 | 2 |
Felix drew two box-and-whisker plots to compare the same sets of data: In the form of a paragraph, use complete sentences to describe some of the differences in the prices of the two sets of books. Refer to the box and whisker plots to justify your answer.
Answer:
The first set of data shows that the difference in the prices is very small while the second set of data shows a larger variety of prices. The first set represents its prices in equally divided groups making it easier to read and determine than the second set of data.
1. A breakfast cereal is made of oats, nuts, and raisins. The advertisements boast that 25% of the cereal in each box is almonds. What portion of each box is not almonds?
2. A breakfast cereal is made of oats, nuts, and raisins. The advertisements boast that 25% of the cereal in each box is almonds. If each box contains 12 cups of cereal, how many cups of almonds are in each box?
3. A breakfast cereal is made of oats, nuts, and raisins. Each box contains 12 cups of cereal, and 4 cups are oats. What percentage of each box is oats?
Answer:
Step-by-step explanation:
1) The advertisements boast that 25% of the cereal in each box is almonds. It means that the percentage of the other cereals in the box is 100 - 25= 75%
Therefore, the portion of each box that is not almonds is 75/100 = 0.75
2) The advertisements boast that 25% of the cereal in each box is almonds. If each box contains 12 cups of cereal, then the number of cups of almonds in each box is
25/100 × 12 = 3 cups
3) if each box contains 12 cups of cereal, and 4 cups are oats, then the percentage of each box that is oats is
4/12 × 100 = 33.33%
PLS ANSWER ASAP FASTTT
Answer:
26.9 i think
Step-by-step explanation:
Answer:
26.9
Step-by-step explanation:
I have attached the work to your problem.
Please see the attachment below.
I hope this helps!
