Answer:
3 mph
Step-by-step explanation:
UPSTREAM:
distance = 36 miles ;
Speed = 15-c mph ;
TIME, t = distance / speed = 36/(15-c)
Downstream :
distance = 36 miles ;
speed = 15+c mph ;
time, t = 36/(15+c)
upstream time + downstream time = 5 hrs
36/(15-c) + 36/(15+c) = 5
36(15+c) + 36(15-c) = 5(15-c)(15+c)
1080 = 5(225 - c²)
1080 / 5 = 225 - c²
216 = 225 - c^2
216 - 225 = c²
-9 = c²
c = 3
The cost of 5 cans of dog food is $4.35. At this price, how much does 24 cans of dog food cost?
Answer:
$20.88
Step-by-step explanation:
Answer:
$20.88
Step-by-step explanation:
4.35 / 5 = 0.87
0.87 x 24 = 20.88
????????????????????????????
Answer:
Pretty sure it's c)
Can someone plz help me with these. Will chose Brainlist.
Answer:
19= 11
20= 33
21= 22
22= 38
23= 74.8
Step-by-step explanation: if it's correct can i get brainliest.... hopes this helps.
solve 256^(x+2)=16^(3x-1)
x=
Solve for x.
x =
thank you in advance!
Answer:
3x+9=180(angles on a line
3x=180-9
3x=171
x=171/3
x=57
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Yvonne put $4,000 in a savings account. At the end of 3 years, the account had earned $960 in simple interest. a. How much does she have in her account at the end of 3 years?b. At what annual simple interest rate did the account grow? C. How many more dollars would she have in her account if the interest rate were 1% greater?
Solution :
The amount invested by Yvonne = $ 4,000
Time of investment = 3 years
The simple interest earned by Yvonne in 3 years = $ 960
a). Therefore, the amount Yvonne earned by the end of three years is
= principal + interest earned
= 4,000 + 960
= $ 4,960
b). The formula for simple interest(S.I.) is given by :
[tex]$S.I. =\frac{P.T.R}{100}$[/tex]
or [tex]$R = \frac{SI \times 100}{P.T}$[/tex]
[tex]$ = \frac{960 \times 100}{4000 \times 3}$[/tex]
= 8%
c). Now if the interest rate is 1% greater, i.e. R = (8+1) = 9%
∴ [tex]$SI =\frac{P.T.R}{100}$[/tex]
[tex]$SI =\frac{4000 \times 3 \times 9}{100}$[/tex]
SI = $1,080
Therefore, the amount at the end of 3 years with 9% rate of interest will be
= 4000 + 1080
= $ 5080
Thus, Yvonne will have 5080 - 4960 = $ 120 money more in her account if the rate of interest was 1% greater.
Evaluate y + (x2 + y) when x = 0.4, y = 3, z =
Answer:
6.16 is the answer
Step-by-step explanation:
3 + (.4^2 + 3)
3 + 3.16
6.16
What must you subtract from the expression –5x – 8 in order to make it equivalent to –9x – 1 for all values of x?
Answer:
the number is 4x - 7
Step-by-step explanation:
Let P be subtracted from -5x - 8 to make it equivalent to -9x - 1.
-5x - 8 - P = -9x - 1
make "-P" the subject of the formula
-P = -9x - 1 + 5x + 8
Collect like terms;
-P = -9x + 5x - 1 + 8
-P = -4x + 7
divide through by "-1"
P = 4x - 7
Therefore, the number that must be subtracted from -5x - 8 to make it equivalent to -9x - 1 is 4x - 7
Need help
What is the equation of a line that passes through the point (0, -2) and has a slope of -3?
y = -2
y = -2x - 3
y = -3x - 2
y = -3
Answer:
y = -3x - 2
Step-by-step explanation:
Since the line passes through the point (0, -2), -2 is the y-intercept
Using the slope-intercept form for a line we have
y = -3x - 2
To rent a bike, Max pays a flat rate plus an hourly rental fee. The graph shows the amount, c dollars, he pays based on the number of hours, t, he uses the bike.
a) Find the vertical intercept of the graph and explain what information it gives about the situation.
b) Find the slope of the graph and explain what information it gives about the situation.
Answer:
The vertical intercept is 5y. The slope is 1/2
Step-by-step explanation:
Please mark Brainliest
Find the number of terms and the degree of this polynomial.
Answer:
Number of terms = 3
Degree = 6
Step-by-step explanation:
A polynomial is a mathematical expression that gives the detailed combination of variables with their coefficients, their positive exponential, and other variables using the operations of subtraction, addition, and multiplication
The number of terms in a polynomial is the number of different powers of added or subtracted in the expression
Therefore, the number of terms in the expression -3·s⁶ + 2·s⁴ + 3·s³ is 3 terms
Number of terms = 3
The degree of a polynomial is given by the highest power of the variables in the polynomial. Therefore, the degree of the given polynomial is 6
Degree = 6
Select whether each equation has no solution, one solution, or infinitely many solutions.( I need help)
Answer:
1. one solution
2. one solution
3. no solution
Step-by-step explanation:
1. x = 0
2. x = -¾
3. 0
Answer:
1.one solution
2.one solution
3. no solution
4. infinitly solution
Step-by-step explanation:
, describe how a translation is different from a rotation.
Answer:Rotation is rotating an object about a fixed point without changing its size or shape. Translation is sliding a figure in any direction without changing its size, shape or orientation.
Step-by-step explanation:
if 5 people spend rupees 5000 on food in 10 days how many people will spend 10000 in 4 days
if 5 people spend rupees 5000 on food in 10 days how many people will spend 10000 in 4 days = 25
A store sells a box of breakfast cereal for $3. Write an equation to relate the number of boxes b to total sales T.
Answer:
b = T / $3
T = $3b
Step-by-step explanation:
Given that:
Cost per box of cereal = $3
Total amount from sale of cereal = T
Number of boxes sold = b
Number of boxes sold = (Total amount from sale of cereal / cost per box)
Number of boxes (b) = T / $3
T = $3b
will give brainliest at the right answer
Answer:
1.) 40.0 2.) 75.00 3.) 140.00 4.) 200.00 5.) 500.00 6.) 1300.00 7.) 70.0000
8.) 10.00 9.) 245.00 10.) 900.00
[tex]32 \frac{1}{2} \times \sqrt[8]{16} \div (0.008) \frac{1}{3} [/tex]
x² + 2xy ty = 144
(x+y)³= ?
Answer:
t=144x3+432x2y+432xy2+144y3−x2
2xy2
Step-by-step explanation:
line pass through the sets given points. which choice shows perpendicular lines?
Answer:
I have no reference to this question, there is no graph or anything to show me.
Step-by-step explanation:
Which expression is a factor of 36x2−9?
6x−9
18x−9
6x−3
18x−3
Answer:
C
Step-by-step explanation:
Comment
This is called the difference of squares. Both sides of the minus sigh must be perfect squares or able to be factored in such a way that you are left with perfect squares. 36x^2 is a perfect square. If you take its square root, you get √36x^2 or 6x. That makes B and D incorrect. So what about A and C?
A:The left side of 36x^2 is correct, but the right side is not. The left side of 36x^2 has a square root of 6x.
The right side has been left alone and it shouldn't be.
The 9 is a perfect square. Its square root is 3. That makes C the answer.
Which costs more per issue, 18-issue subscription for $40.50 or a 12-issue subscription for $33.60?
Answer:
12-issue subscription
Step-by-step explanation:
18-issue sub = $40.50 ÷ 18 = $2.25/issue
12-issue sub = $33.60 ÷ 12 = $2.8/tissue
=> The 12-issue subscription costs more per issue (2.8 > 2.25)
Answer:
so you would divide the cost by the issue
the 18 issue is $2.25 per issue
the 12 issue is $2.80 per issue
the 12 issue costs more
Evaluate 3n + 4^2 when n = 2
Answer:
22
Step-by-step explanation:
3n + 4^2
n = 2
3(2) + 4^2 = 6 + 16 = 22
Use distributive property to simplify the following expression then combine like
terms: -5(a-6)+6a. Then identify the coefficient for the simplified expression.
Your answer
Answer:
Step-by-step explanation:
distribute:
-5a+30+6a
simplify:
a+30
not sure what u mean by coefficient, the coefficient of a is 1.
Answer: a + 30
Step-by-step explanation:
Using the distributive property, we can figure out the expression unsimplified = -5a+30+6a
By combining like terms, -5a+6a = a
Therefore, this expression = a + 30
I am not a professional, simply using prior knowledge!
Note- It would mean the world to me if you could mark me brainliest!
A rectangle is 2/5 inches long and 1/3 inches wide. What is the area of the rectangle?
Step-by-step explanation:
2/5 x 1/3 = 2/15 inches squared
The length of the minute hand on a clock is 10in what's the diameter
Answer:
20
Step-by-step explanation:
Is 1 + 4(3x – 10) – 12x equivalent to -9?
Answer:
No.
Step-by-step explanation:
Remove parenthesis:
1+12x-40-12x
Combine like terms:
-39+0x = -39. -39 is NOT equal to -9.
What is 3/8 simplified and divided please show steps
Answer:
0.375
cannot be simplified more.
Step-by-step explanation:
three is prime, meaning it can only be divided by 1 and itself. When you see a prime in a fraction, you cannot simplify anymore without accidentally making it more complicated. Divided would just be the decimal form. The decimal form of 1/8 is 0.125, so if you multiply it by three you should get 3/8=0.375
Sam is saving for a guitar. He already has $50 saved and intends to save $30 each week. Sam found a guitar that costs $410. After how many weeks will Sam have saved enough money to buy the guitar?
Answer:
12 weeks
Step-by-step explanation:
30 x 12 = 360
which equals 12 weeks in this case and 360 + 50 equals 410 the 50 came from the 50 he already had
I hope this helps!!
Determine the intercepts of the line:
y = -9x - 14
Answer: (-14/9, -14) or (-1.5, -14)
Step-by-step explanation:
y = -9x - 14
the coefficient without a variable in a slope-intercept equation is the y-intercept -- in this case, it is -14
to find the x intercept you use the equation given, set y to equal zero and Solve for x
- Your new equation should be: 0 = -9x - 14
Our new goal is to isolate the x
Start by doing the inverse of the coefficient, so add 14 to both sides
- Your new equation should be: 14 = -9x
Theres still a -9 attached to the x and the -9 is attached by multiplication -- so now you do the inverse function and divide both sides by -9
Your final answer: -14/9 = x or -1.5 with a repeating decimal
So like I need help on this,
Choose the graph that represents the figure and classify it. Then find the area.
D(-1, -1), E(-1, 3), F(2, 4), G(2, -3)
Answer:
Trapezoid with the area 16.5 unit²Step-by-step explanation:
Plotted the given points to find out the figure is trapezoid.
Area formula for trapezoid:
A = 1/2(b₁ + b₂)hThe length of the bases:
b₁ = DE = 3 - (-1) = 4b₂ = FG = 4 - (-3) = 7h is the horizontal distance between the bases:
h = 2 - (-1) = 3The area is:
A = 1/2(4 + 7)(3) = 16.5 unit²