Answer:
y = 9
Step-by-step explanation:
Step 1: Write equation
2(3y - 6) = 42
Step 2: Solve for y
Distribute 2: 6y - 12 = 42Add 12 to both sides: 6y = 54Divide both sides by 6: y = 9calculate 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!!
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
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.
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.
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
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
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
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.
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:
How many solutions does this equation have ?
2(2x-1)=(x+1)+3(x-1)
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:
.........................
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
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
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
if f(x)=3^x+10 and g(x)=2x-4, find (f-g)(x)
=====================================
Work Shown:
(f - g)(x) = f(x) - g(x)
(f - g)(x) = ( f(x) ) - ( g(x) )
(f - g)(x) = ( 3^x + 10 ) - ( 2x-4 )
(f - g)(x) = 3^x + 10 - 2x+4
(f - g)(x) = 3^x - 2x + (10+4)
(f - g)(x) = 3^x - 2x + 14
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.
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
Which transformation will create a similar and a congruent triangle?
Rotation
Reflection
Dilation
Translation
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 :)
What is the equation in standards form of the line y=1/9x+5
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
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:
• Earth: $$ kilograms
• Sun: $$ kilograms
How many Earths weigh about as much as the Sun?
Use scientific notation.
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
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
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
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].
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