Answer:
x = 2
Step-by-step explanation:
13x + 2( 2x - 8) =18
13x + 4x -16 = 18
13x + 4x = 34
17x = 34
x = 2
Solve for n. 170-4n=120
Answer:
n = 12.5 or 25/2
Step-by-step explanation:
170-4n = 120
1. Subtract 170 from both sides to isolate -4n.
-4n = -50
2. Divide both sides by -4 to isolate the n.
n = 12.5 or 25/2
Hope this helped!
Answer:
12.5
Step-by-step explanation:
170 - 4n = 120
-170 -170
-4n = -50
4n = 50
n = 12.5
Evaluate the piecewise defined function at the indicated values.
{x² + 4x if x <equal/greater to -1
f(x) = { x if - 1<x< equal/greater to 1
{-1 x > 1
f(-2)=
f(-3/2)=
f(-1) =
f(0) = 0
f(25) =
Given:
Consider the piecewise function is
[tex]f(x)=\left \{\begin{matrix}x^2+4x,\text{ if } x\leq -1\\ x, \text{ if }-1<x\leq 1\\-1,\text{ if }x>1\end{Matrix}\right.[/tex]
To find:
The value of the function at indicated values.
Solution:
We know that, [tex]-2,-\dfrac{3}{2},-1[/tex] are less than or equal to -1. So, for these values the function is [tex]f(x)=x^2+4x[/tex].
For x=-2,
[tex]f(-2)=(-2)^2+4(-2)[/tex]
[tex]f(-2)=4-8[/tex]
[tex]f(-2)=-4[/tex]
Similarly,
For [tex]x=-\dfrac{3}{2}[/tex].
[tex]f(-\dfrac{3}{2})=(-\dfrac{3}{2})^2+4(-\dfrac{3}{2})=-\dfrac{15}{4}[/tex]
For [tex]x=-1[/tex].
[tex]f(-1)=(-1)^2+4(-1)=-3[/tex]
We know that, 0 is lies between -1 and 1. So, for this values the function is [tex]f(x)=x[/tex].
For x=0,
[tex]f(0)=0[/tex]
We know that, 25 is greater than 1. So, for this values the function is [tex]f(x)=-1[/tex].
For x=25,
[tex]f(25)=-1[/tex]
Therefore, the required values are, [tex]f(-2)=-4, f(-\dfrac{3}{2})=-\dfrac{15}{4},f(-1)=-3,f(0)=0,f(25)=-1[/tex].
• Earth: $$ kilograms
• Sun: $$ kilograms
How many Earths weigh about as much as the Sun?
Use scientific notation.
some number is added to itself the result is multiplied by eight is four what is that number
Answer:
X=1/4
Step-by-step explanation:
(x+x)*8=4
(2x)*8=4
16x=4
X=4/16=1/4
Answer:
0.25
Step-by-step explanation:
First...
Assume that the number is x and make an equation.
(x + x) 8 = 4
Next...
Add.
(2x) 8 = 4
After that...
Divide.
2x = 4/8 so 2x = 1/2
Finally...
Divide more
x = 1/4 or 0.25
So your answer is 0.25.
I did double-check.
There is a daily fee for renting a moving truck, plus a charge of $0.50 per mile driven. If driven 48 miles, it costs $64 to rent a truck.
Answer:
The total would be $88
Step-by-step explanation:
First multiply $0.50 and 48 miles
$0.50x48=$24.00
Then add $24.00 and $64.00
$24.00+$64.00=$88.00
Hope this helps :)
Have a nice day :)
Can you give me brainliest plz :)
Hey what’s 20 times 20 minus 58 divided by 6? -3-
Answer:
390
Step-by-step explanation:
Answer:
57
Step-by-step explanation:
20*20=400
400-58=342
342/6=57
What is the equation of a line with a
slope of -2 and crosses the vertical axis
at the point (0, 5)?
Answer:
y=-2x+5
Step-by-step explanation:
the slope is m and the y-intercept is b in the form y=mx+b, and -2 is the slope and 5 is the y-intercept in this equation, so y=-2x+5
Answer:
y=-2x+5
Step-by-step explanation:
y=mx+b
m is the slope which is -2
b is the y intercept which is given in the problem, 5
Which equation is true when X = -5?
2/5x+15-17
7+5x = 18
6- 4x = -14
0.5-2.4x = 12.5
Answer: 0.5-2.4x=12.5
Step-by-step explanation:
-2.4(-5)=12
0.5+12=12.5
John ran 3 miles in 25.2 minutes. The equation y = 8.5x, where x represents the number of miles and y represents the total time in minutes, represents this situation. What is the constant of proportionality? What does the constant of proportionality represent in the context of the problem?
Step-by-step explanation:
It is given that,
John ran 3 miles in 25.2 minutes. We can find the speed of john as follows :
Speed = distance/time
v = [tex]\dfrac{3\ \text{miles}}{25.2\ \text{minutes}}=0.1190\ \text{miles/minutes}[/tex]
The equation y = 8.5x, where x represents the number of miles and y represents the total time in minutes, represents this situation. y is proportional to x with constant of proportionality 8.5.
Velocity of John is 0.1190 miles/minute. We can write it in the form of equation as :
y = 0.1190x
In this problem, the constant of proportionality is 0.1190.
If Vivian rides for 7 hours on a bicycle, what is her rate if she rides 84 miles?
Answer:
12
Step-by-step explanation:
84/7 is 12, so she was going 12 mph
A 300-g package of pepperoni costs $4.29.
a) What is the cost per 100 g?
b) How much would 1 kg cost?
c) How much pepperoni could you buy with $20?
Answer:
a. $1.43 per 100 gram
b. $10.43 for a kilogram (1000 grams)
c. 1 kilogram and 398 grams, or 1398 grams
Step-by-step explanation:
Which of the following expressions is equivalent to 30 + 40?
A. 5(25 + 35)
B. 10(3 + 4)
C. 15(2 + 3)
D. 5(6 + 8)
Answer:D. 5(6+8)
Step-by-step explanation:First you need to distribute. Multiply 5 by both numbers inside parentheses. 5x6=30 and 5x8=40. This gives you 30+40
calculate E, the amount of euros that has the same value as D U.S. dollars, using the equation E=17/20D=
The given equation is: E=17/20 D , where E=amount of Euros and D= amount of U.S dollar.
Now for 1 U.S dollar, we need to plug D=1 into the above equation. So, we will get.........
E=17/20(1)
E=1/20=0.85
0.85 Euros have the same amount as 1 U.S dollar.
HOPE IT HELPS (◕‿◕✿) SMILE!!
Find the value of x in each of the following
a) 2x/3= 8
b) 3x/2=6
Answer:
A) X = 12
B) X = 4
Step-by-step explanation:
For both equations, the first step is the same. You must isolate x.
A) 2x/3 = 8
Multiply each side by 3 to get rid of the fraction.
2x = 24
Divide by 2.
x = 12
B) 3x/2 = 6
Multiply each side by 2 to get rid of the fraction.
3x = 12
Divide by 3.
x = 4
Lesley and Enid left their waitress a 15% tip.
The tip was $10.25.
What was their total bill, not including the tip?
Answer: $68.37
Hope this helps;)
Answer:
Cost before tip: $68.34
Cost after tip: $78.59
Step-by-step explanation:
Please see attached image. Calculations are executed in black. Answers are highlighted in blue. Solution explanation is provided in red. Implicit/'skip-over' steps are in green.
~~
Hope this helps.
Convert 66 ft/sec to miles per hour. (1 mi = 5280 ft)
348,480 mi/hr
45 mi/hr
80 mi/hr
288,000 mi/hr
0.75 mi/hr
96.8 mi/hr
Answer:
45
Step-by-step explanation:
What is the product of 4x - 1 and 3x + 5?
Answer:
the right answer is 7x+4
Hello! I need help with my math homework! I need it ASAP.
6x - 3 = -18 + x
Answer:
x = -3
Step-by-step explanation:
6x - 3 = -18 + x
Subtract x from each side
6x-x - 3 = -18 + x-x
5x -3 = -18
Add 3 to each side
5x-3+3 = -18+3
5x = -15
Divide each side by 5
5x/5 = -15/5
x = -3
9 x 10^-9 in standard form
Answer:
[tex]9^{1000000000}[/tex]
Step-by-step explanation:
if the first one was blurry but pls help
Answer:
400 minutes it will take
como podria saber la cantidad de cuadros de la bandera de wiphola sin contar
Answer: If you mean a translation, it is How could I know the number of squares of the wiphala flag without counting.
The wiphala flag has 49 squares.
Step-by-step explanation:
What is the equation in standards form of the line y=1/9x+5
A marathon runner travels 7/4 of a mile in 1/4 hour. What is the runner's unit rate?
Answer:
The runner's unit rate is: 7 mph
Step-by-step explanation:
The runner's unit rate is the speed of the runner used to cover a mile in one hour
Given that ;
1/4 hours covers 7/4 miles
so;
1/4 = 7/4
1 =?
Perform cross product as;
(1*7/4) / 1/4
(7/4) / (1/4)
7/4 * 4/1
7 miles/hour
Wade has three more quarters than dimes. The total value of the dimes and quarters together is $13. How many quarters does he have?
Answer:
38 Quarters
Step-by-step explanation:
D=number of dimes; Q=number of quarters=D+3
.
$0.10D+$0.25Q=$13
$0.10D+$0.25(D+3)=$13
$0.10D+$0.25D+$0.75=$13
$0.35D=$12.25
D=35
.
Q=D+3=35+3=38
ANSWER: He has 38 quarters.
tell me how to solve 3 1/2 x 2 3/4
Answer:
9.625
Step-by-step explanation:
(3 1/2) x (2 3/4) = 9.625
Answer:
.........................
Mrs. Ryan did 121 sit-ups in 8 minutes. Estimate the number of sit-ups she did in 1 minute.
Answer:
he did 15 sit ups in 1 minute.
Step-by-step explanation:
you divide 121 and 8
Answer:
15 sit-ups per minute
Step-by-step explanation:
121÷8=15.125
15
Solve for m.
m+9=-2
m=?
Answer:
-11
Step-by-step explanation:
Because you just carry the nine over which when you switch it sides it becomes negative so it's -9 + -2 which equals negative 11
Which transformation will create a similar and a congruent triangle?
Rotation
Reflection
Dilation
Translation
PLZZZ HELPP anyonee plzzzz
Answer:
The correct answer is B
Step-by-step explanation:
its is B because when dividing fractions the division symbol changes into a multiplication sign and the fraction on the right flips
High Hopes^^
Barry-
A person places $290 in an investment account earning an annual rate of 2.2%, compounded continuously. Using the formula V = Pe^{rt}V=Pe rt , where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 18 years.
Answer:
$430.90Step-by-step explanation:
Given that the principal p= $290
rate r= 2.2% 2.2/100 =0.022
time t= 18years
by applying the expression
[tex]V = Pe^{rt}[/tex]
We have
[tex]V = 290e^{0.022*18}\\\\V=290e^{0.396}\\\\V=290*1.48586931755\\\\V=$430.90[/tex]
Hence after 18years the money in the account will be $430.90