Answer:
The solution is [tex]x=0.3[/tex]
Step-by-step explanation:
[tex]-0.4x-4.15=x-1.6-2.97[/tex]
Subtract [tex]2.97[/tex] from [tex]-1.6[/tex].
[tex]-0.4x-4.15=x-4.57[/tex]
Subtract [tex]x[/tex] from both sides of the equation.
[tex]-1.4x-4.15=-4.57[/tex]
Add [tex]4.15[/tex] to both sides of the equation.
[tex]-1.4x=-0.42[/tex]
Divide both sides of the equation by [tex]-1.4[/tex].
[tex]x=\frac{-0.42}{-1.4}[/tex]
[tex]x=0.3[/tex]
How far is the star away from
the earth in AU?
Answer:
6623 AU
Step-by-step explanation:
I assume the angle measure 0.000302 is in radians.
Draw a segment from the Sun to the Star.
Use the upper small triangle.
The angle at the Star measures 0.000151 radians.
The opposite leg measures 1 AU.
We need the hypotenuse which is the distance from the Star to Earth.
sin A = opp/hyp
sin 0.000151 rad = 1/x
x sin 0.000151 rad = 1
x = 1/(sin 0.000151 rad)
x = 6623
Answer: 6623 AU
Curved surface area of a cone is 308 cm and its slant height is 14 cm Find.
radius of the base (m) Total surface area of the cone.
Step-by-step explanation:
tsa= total surface area
csa=curved surface area
answer is in the picture
plato de Leonardo tiene 0.2 kg de arroz y el de su hermana Leticia tiene 0.3 kg si quieren que los dos tengan lo mismo y los juntan para después repartirse los en partes iguales cuánto tendrá cada plato
Answer:
0.5 kg
Step-by-step explanation:
Two hundred fifteen people have been invited to a reception. The men get a gift of candy that cost $ 6.95 each, and the women get a gift of flowers that cost $ 8.95 each. If the total cost for gifts was $ 1724.25, how many men and how many women were invited?
HELP ME PLEASE!!!!ITS DUE TODAY!!
Answer:
Step-by-step explanation:
Find the 11th term of the geometric sequence 10,-40,160, ...
Answer: The 11th term is 6144
Step-by-step explanation: luv ya boo thang
Write an equation in slope intercept form. m=6, b=-8
Answer:
y=6x-8
Step-by-step explanation:
y=mx+b where m=slope and b=y-intercept.
Paul will pay for his new car in 36 monthly payments. If his car loan is for $20,538 then how much will Paul pay each month?
Answer:
570.50
Step-by-step explanation:
I think it's the correct answer maybe it is maybe it's not
Paul has acquired a car loan of amount $20,538 and is paying off the loan amount in 36 months.
This means that Paul will be paying $570.50 every month till the completion of 36 months.
The given parameters for the calculation of the monthly installment:
Loan amount= $20,538 Total months to repay the loan= 36 monthsCalculation of the monthly amount of Paul's loan:
[tex]\begin{aligned}\text{Monthly installment of loan}= \frac{\text{Total Amount of Loan Acquires}}{ \text{Total Time taken to Repay off the Loan}} \end{aligned}.[/tex]
[tex]\begin{aligned}\text{Monthly Installment of Loan}= \frac{\$20,538}{36}\end{aligned}[/tex]
[tex]\begin{aligned}\text{Monthly Installment of Loan}=\$570.50\end{aligned}[/tex]
Therefore, the monthly installment of paul will be $57.50.
To know more about the calculation of installment, refer to the link below:
https://brainly.com/question/84351
Which of the following best describes the equation below?
y = -5x + 12
A.
nonlinear
B.
linear
C.
both linear and nonlinear
o
D.
neither linear nor nonlinear
Answer:
B. linear equation
Step-by-step explanation:
How can you tell that whether the equation is linear or nonlinear?
Using an Equation
Simplify the equation as closely as possible to the form of y = mx + b. Check to see if your equation has exponents. If it has exponents, it is nonlinear. If your equation has no exponents, it is linear.
y = -5x + 12 has no exponents that's why it is a linear equation.
Hope this helps:)
3a + b = 225
b = a - 15
A.) 3a + b = a -15
B.) 3a + a = 225
C.) 3a + a - 15 = 225
D.) b = 3a + b
Answer:
c
Step-by-step explanation:
Help please! Thank youuuuuuuuu
Answer:
3 3/5 meters (B)
Step-by-step explanation:
Since this is perimeter, you must find the "outside".
The top side: 1/4 * 4 = 1
Left side: 1/5 * 4 = 4/5
Bottom: 1
Right side: 4/5
Add them up!
1 + 1 + 4/5 + 4/5
2 8/5
3 3/5
B!
Having trouble solving this:
Answer:
1/250
Step-by-step explanation:
0.4% in fraction form is 0.004
or 4/1000
4/1000 reduced to it's simplest form is 1/250 (divide numerator and denominator by 4)
express 4x-1= 3 as a linear equation in two variables
Hello there!
~I hope you and your family are staying safe and healthy!
[tex]4x - 1 = 3[/tex]
We need to start by saying that y = 3
[tex]4x - 1 = y[/tex] or [tex]4x - y = 1[/tex]
Thus, the equation above is in the two variable form where y = 3
Thus, the required equation is [tex]4x - y = 1[/tex]
Let me know if you have additional questions!
~Garebear
A right triangle has an angle that measures 47°. What is the measurement of the third angle in the triangle?
Answer:
43 degrees
Step-by-step explanation:
every triangle all three angles equal 180 for a right triangle you know that one angle is 90 degrees for this triangle we know that another angle is 47 so
90+47 = 137 now we can take 180 - 137 = 43
so your third angle is 43
hope I helped!!
Please help due today in 10 minutes
Answer:
I can't help it's past due date. sorry
Step-by-step explanation:
Simplify.
[tex]\frac{8\sqrt{6mn} + 6\sqrt{8mn} }{2\sqrt{2mn} }[/tex]
Joe lost 4 kg and now weighs 60 kg. What percentage of his original weight did he lose?
Answer:
60-4 is 56
and 56 by 100
Step-by-step explanation:
The percentage of his original weight did he lose is 56%.
Given that,
Joe lost 4 kg and now weighs 60 kg.Calculation:[tex]= ( 60 - 4) \div 100[/tex]
= 56%
learn more about the percentage here: https://brainly.com/question/16616666
What is the area of this?
Answer:
Step-by-step explanation:
[tex]A=\frac{hb}{2}\\ \\ A=\frac{14(20)}{2}\\ \\ A=140ft^2[/tex]
Answer:
150 ft
Step-by-step explanation:
You use Pythagoras theorem to work out the base of the triangle.
<3
The perimeter of the triangular park shown on the right is 15x-2 what is the missing length
Answer:
missing length is 6x - 1
Step-by-step explanation:
To find missing length, add two known sides and subtract from perimeter
(15x - 2) - (4x + 4 + 5x - 5)
(15x - 2) - (9x - 1) = 6x - 1
Determine a quadratic equation in standard form that has each pair of roots.
X=5±√2/3
Step-by-step explanation:
you have to add 5 and 2 which is 7 and decide by 3 or estimate
Northern Bank has two types of account. Both accounts pay compound interest. Cash savings account Interest 2.5% per annum Shares account Interest 3.5% per annum Ali invests £2000 in the cash savings account. Ben invests £1600 in the shares account. (a) Work out who will get the most interest by the end of 3 years. You must show all your working.
Answer: Ben will have the most interest.
Step-by-step explanation:
Ali after 3 years.
To use compound interest, the formula is:
= Investment * ( 1 + rate) ^ no. of periods
= 2,000 * ( 1 + 2.5%)³
= £2,153.78
Interest = Amount after 3 years - investment
= 2,153.78 - 2,000
= £153.78
Ben after 3 years.
= 1,600 * (1 + 3.5%)³
= £1,773.95
Interest = 1,773.93 - 1,600
= £173.93
The Sugar Sweet Company is going to transport its sugar to market. It will cost $6500 to rent trucks, and it will cost an additional $250 for each ton of sugar
transported
Let C represent the total cost (in dollars), and let S represent the amount of sugar (in tons) transported. Write an equation relating C to S. Then use this
equation to find the total cost to transport 14 tons of sugar.
Answer:
$10000 Total cost to transport 14 tons
Step-by-step explanation:
The total cost C(S) = $6500 + ($250/ton)S. This is a linear function with initial value $6500 and slope $250/ton.
C(14) = $6500 + ($250/ton)(14) = $10000 = Total cost to transport 14 tons
Answer:
hello! the answer is below!
Step-by-step explanation:
Let's write the equation.
6500 + 250s = c
Now put in our value for s.
6500 + 250 · 19 = 4750
The answers are
6500 + 250s = c
And
4750
Hope this helps! :)
Seven subtracted from a number is -18
Answer:
-11
Step-by-step explanation:
Just add 7 to -18
-18 + 7 = -11
Hope this helped :)
(If you want to check, just do -11 - 7)
For a school fundraiser, Troy sold 28 bags of popcorn and 40 candy bars and made $282. Jake sold 17 bags of popcorn and 20 candy bars and made $160.50.
What was the cost of a bag popcorn?
A. $10.35
B. $6.00
C. $6.27
D. $6.50
Answer:
Cost of a bag popcorn = $6.5
Step-by-step explanation:
Given:
Number of popcorn bags sold by Troy = 28
Number of candy bar sold by Troy = 40
Number of popcorn bags sold by Jake = 17
Number of candy bar sold by Jake = 20
Amount Troy earn = $282
Amount Jake earn = $160.5
Find:
Cost of a bag popcorn
Computation:
Assume;
Cost of a bag popcorn = a
Cost of a candy bar = b
28a + 40b = 282..........eq1
17a + 20b = 160.5...............eq2
eq2 x 2
34a + 40b = 321.........eq3
eq3 - eq1
6a = 39
a = 6.5
Cost of a bag popcorn = $6.5
Other equipment totaled 33000. You earn a commission of 20% on every sale you make. If you put 35% of your earnings on this particular sale into a savings account what is the amount invested
9514 1404 393
Answer:
2310
Step-by-step explanation:
Assuming "this particular sale" totals 33000 in its entirety, the commission is ...
20% × 33000 = 6600
The amount of that going to the savings account is ...
35% × 6600 = 2310
The amount invested is 2310.
What is the value of x?
Answer:
jhg hstu35kk4t6ek
3tnk63e6oktelrt
Step-by-step explanation:
4n5kdti3eo5
9 2/3 - 4 1/5. ====???
Answer:
Step-by-step explanation:
5.46666666667
Answer:
5 7/15
Step-by-step explanation:
9 2/3-4 1/5 = 9 10/15-4 3/15=5 7/15
can someone pls help me
write 3lgx + 2-lgy as a single logarithm
Answer:
log(x^3*y^(-2))
Step-by-step explanation:
two log rules you need to know for this question:
alogb = log(a^b)
logx + logy = logxy
you can start by getting rid of the term in front of the log, or a
also is it 2 minus or 2 times negative? im assuming it's 2 times negative because it is more likely
log (x^3) + log (y^-2) = log (x^3*y^-2)
On a map, 90 miles is represented by 3 inches. A measure of inch on the map would represent miles.
Complete Question
On a map, 90 miles is represented by 3 inches. A measure of 1/2 inch on the map would represent miles.
Answer:
15 miles
Step-by-step explanation:
From the above question,
3 inches = 90 miles
1/2 inch = x miles
Cross Multiply
3 inches × x miles = 90 miles × 1/2 inch
x miles = 90 miles × 1/2 inch/3 inches
x miles = 15 miles
Therefore, a measure of 1/2 inch on the map would represent 15 miles
I need the answer, ASAP.
Answer:
See below.
Step-by-step explanation:
It is similar because the order of operations is the same for fractions and for whole numbers.
It is different because when you add or subtract fractions, you need a common denominator. When you deal with whole numbers, there are no denominators.