Answer:
B. 3x+2
Step-by-step explanation:
Allyson has a collection of 26 mugs. When packing to move, she put the same number of mugs in each of the first 4 boxes and 2 mugs in the last box. What is the number of mugs in each of the first four boxes?
Answer:
6 mugs
Step-by-step explanation:
6*4=24
add the remainder 2 to get 26,
since its just asking for the 4 boxes the answer is 6
PLEASE HELP ILL GIVE BRAINLIEST
Answer:
P(2,3) thats the answer ;)
8.5x -2(2x +8) = 11
what is the answer
Polly stacked the tins from five boxes of cat food onto an empty shelf in a supermarket. There were 15 tins of cat food in each box. At the end of the week there were 20 tins left on the shelf. The rest of the tins had been sold. Write the number of boxes of cat food that had been sold, as: (a) A mixed number (b) An improper fraction
Answer:
(a) [tex]3\frac{2}{3}[/tex] boxes of cat food had been sold.
(b) [tex]\frac{11}{3}[/tex] boxes of cat food had been sold.
Step-by-step explanation:
From the question,
Polly stacked the tins from five boxes of cat food onto an empty shelf and there were 15 tins of cat food in each box. That is,
5 × 15 tins of cat food were stacked onto the empty shelf.
5 × 15 = 75
Hence, 75 tins of cat food were stacked onto the empty shelf.
Also, from the question,
At the end of the week there were 20 tins left on the shelf and the rest of the tins had been sold, that is
75 - 20 tins had been sold
75 - 20 = 55
Hence, 55 tins of cat food had been sold.
To determine the number of boxes of cat food that had been sold,
Since there are 15 tins of cat food per box, then
we will divide 55 tins of cat food that had been sold by 15 tins of cat food per box
55 ÷ 15 = [tex]\frac{55}{15}[/tex]
Hence, [tex]\frac{55}{15}[/tex] boxes of cat food had been sold
(a) As a mixed number
[tex]\frac{55}{15} = 3\frac{2}{3}[/tex]
Hence, [tex]3\frac{2}{3}[/tex] boxes of cat food had been sold.
(b) As an improper fraction
[tex]\frac{55}{15} = \frac{11}{3}[/tex]
Hence, [tex]\frac{11}{3}[/tex] boxes of cat food had been sold.
Slope point form
passing through (4,-7) with x intercept = -4
Answer:
We start with this equation:
If x intercept is -4 then y = 0 giving us another point (-4, 0)
(4, -7) and (-4, 0)
slope = y difference / x difference = (-7 -0) / (4 --4) =
-7 / 8
Step-by-step explanation:
Cox Media Corporation pays a 10 percent coupon rate on debentures that are due in 20 years. The current yield to maturity on bonds of similar risk is 8 percent. The bonds are currently callable at $1,150. The theoretical value of the bonds will be equal to the present value of the expected cash flow from the bonds. Use Appendix B and Appendix D for an approximate answer but calculate your final answer using the formula and financial calculator methods.
Answer:
The correct answer will be "1197.93".
Step-by-step explanation:
According to the question:
Semi annual coupon:
= [tex]10 \ percent\times \frac{1000}{2}[/tex]
= [tex]50[/tex]
Number of periods:
= [tex]20\times 2[/tex]
= [tex]40[/tex]
Semi annual YTM:
= [tex]\frac{8}{2} \ percent[/tex]
= [tex]4 \ percent[/tex]
Now,
The market value of bond will be:
= PV of Coupons + PV of Par Value
On putting the values, we get
= [tex]50\times (\frac{(1-(1+4 \ percent)^{-40})}{4 \ percent} )+\frac{1000}{(1+4 \ percent)^{40}}[/tex]
= [tex]1197.93[/tex]
Note: percent = %
Assume the segment AB has already been constructed. What is the first step to construct the perpendicular bisector of AB?
Answer:
The first step is to place the compass needle on one of the ends of the given segment AB, and draw an arc above and below the segment AB
Step-by-step explanation:
The steps to construct a perpendicular to segment AB are;
1) Place the compass needle on one of the ends of the given segment AB, and draw an arc above and below the segment AB
2) With the same compass width, place the compass needle on the other end of segment AB, and draw an arc above and below the segment AB intersecting the arcs constructed in step 1 above. Label the point of intersection as C and D
3) With a straight edge, draw a line joining the points of intersection C and D of the two arcs. The line CD. is the perpendicular bisector of the segment AB.
solution
2(x + 1) = 2x + 2.
Answer:
Infinity
Step-by-step explanation:
It is equal to nothing.
2x+2=2x+2
-2x -2x
2=0x+2
-2 -2
0=0
Answer:
( − ∞ , ∞ )
Step-by-step explanation:
Distribute the 2 in 2 (x+1)
2 ⋅ x = 2 x
2 ⋅ 1 = 2
Combine:
2 x + 2
Equation is now:
2 x + 2 = 2 x + 2
Subtract 2 from both sides of the equation:
2 x = 2 x
Divide both sides by 2:
x=x
Both sides of the equation are the same:
x = x
Any real number or:
( − ∞ , ∞ )
Find the tip amount of a $30 bill with a 20% tip
Answer:
$6
Step-by-step explanation:
Ok, first thing is first, we need to find what 20% of 30 is. We do that by setting 20% in decimal form and multiplying that by 30.
So first,
0.20 * 30
We cross out the zero in 30 and move the decimal point one spot to the right in 0.20. So now we have:
= 2.0 * 3
Which really is,
= 2 * 3
Which equals,
6
Or,
$6
Yes! We got our answer! Nice work!
(The total bill including the tip would be $36 in case you needed to know)
Find the derivative of y with respect to the appropriate variable
y=cos^-1(x^2)
Answer:
a. Practically speaking, you compute the differential in much the same way you compute a derivative via implicit differentiation, but you omit the variable with respect to which you are differentiating.
Aside: Compare this to what happens when you differentiate both sides with respect to some other independent parameter, say :
b. This is just a matter of plugging
Step-by-step explanation:
like if this was helpful
A model car is for sale online. The owner discounts the price by 5% each day until it sells. On the third day, the car sells. If the original price of the model car was $40, how much did the car sell for to the nearest cent?
The price at which they will sell the car is $34.30.
What is the selling price?A discount reduces the carrying value of the model car. If the price of the car is discounted by 5% everyday, it means that the car decreases at an exponential rate. When there is an exponential decrease, the value of the car falls faster with the passage of time.
Exponential functions have this form [tex]e^{x}[/tex]
Where:
x = the variable e = constantThe formula that can be used to determine the price at which they will sell the car is:
Selling price = initial value x (1 - discount rate)^number of days
$40 x (1 - 0.05)^3
$40 x 0.95^3 = $34.30
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Quadrilateral WXYZ with vertices W(-6, 7),
X(-3, 6), Y(-1,3), and Z(-7,1): 180°
Get wxyz
Answer:
W (6,-7) X(3,-6) Y (1,-3) Z(7,-1)
Step-by-step explanation:
This is the answer because to do this you have to know that the 180 degress (x,y) changes to (-x,-y) The negative sign means opposite so, if it is Z(-7,1) it changes to (7,-1).
Hope this helped!
45.6 times 3.7 solved out
Answer:
169.72
Plz like if you like my answer
what is the distance between a and b? round to the nearest hundreadth
Answer:
we need the picture
Step-by-step explanation:
Answer:
add a picture please
Step-by-step explanation:
Find the equation of the line.
Use exact numbers.
Y=?x+?
Answer:
y=.75x-2
Step-by-step explanation:
4,1
8,4
3/4 or .75x
to check answer:
(.75*8)=6
6-2
4
The equation of the line shown in the graph is y = 4x / 5 -2.
What is the slope of the line?The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
Here,
Points located on the graph that lies on the line are (0, -2), and (2.5, 0)
The slope of the line is given as,
m = (y₂ - y₁) / (x₂ - x₁)
Substitute the value in the above equation,
m = 0+ 2 / 2.5 -0 = 20/25
m = 4 / 5
The equation of the line is given as
y - y₁ = m (x - x₁)
Substitute the one point (-2, 0) and m in the above equation,
y + 2 = 4/5 (x - 0)
y = 4x / 5 -2
Thus, the equation of the line shown in the graph is y = 4x / 5 -2.
Learn more about slopes here:
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is 42,260 a rational or irriational number
Answer:
rational
Step-by-step explanation:
it can be written as a ratio like 42260/1
brainliest?? please
Answer:
Rational
Step-by-step explanation:
This number is a whole, even number. It does not fit the criteria to be irrational because it can be written as a simple fraction
Kenson and Shelly are each saving money.
• Kenson has $60 in savings and will save an additional $12 every week.
• Shelly has $85 in savings and will save an additional $7 every week.
Which equation can be used to determine w, the number of weeks it will take Kenson and Shelly to save the same amount of money?
A. 720 + 60w = 595 + 85w
B. 7w + 595 = 12w + 720
C. 60 + 7w = 85 + 12w
D. 60 + 12w = 95 + 7W
Answer:
D.
Step-by-step explanation:
D. 60 + 12w = 95 + 7W
Help me, pls! PLS! I need help ASAP, I'm stuck!! >:(
I would truly appreciate it if anyone can help me! Thank u!
(Science; Measuring Volume and Mass. Also, I'm not confused, it's just I've been seeing everyone answering Math questions more often and I kinda need my answers stat.)
Answer:
So the volume expands as kinetic energy is gained and the more mass there is the more kinetic energy there will be. Hopefully this helps you and if it doesn't I will add on to it, just lmk.
2.7 A 3400-lb car is traveling in third gear (overall gear reduction ratio of 2.5 to 1) on a level road at its top speed of 130 mi/h. The air density is 0.00206 slugs/ft3 . The car has a frontal area of 19.8 ft2 , a drag coefficient of 0.28, a wheel radius of 12.6 inches, a drive axle slippage of 3%, and a drivetrain efficiency of 88%. At this vehicle speed, what torque is the engine producing and what is the engine speed (in revolutions per minute)?
Answer:
1) The engine torque is approximately 134.33 N·m
2) The speed of the engine is approximately 4,469.15 revolutions per minute
Step-by-step explanation:
1) The drag coefficient, [tex]c_d[/tex], is given by the formula;
[tex]c_d = \dfrac{2 \cdot F_d}{\rho \cdot u^2 \cdot A}[/tex]
Where;
[tex]c_d[/tex] = 0.28
[tex]F_d[/tex] = The drag force
ρ = The fluid density = 0.00206 slugs/ft³ = 1.06168037 kg/m³
u = The object's flow speed = 130 mi/h = 58.1152 m/s
A = The frontal area = 19.8 ft² = 1.83948 m²
[tex]F_d = \dfrac{c_d \cdot \rho \cdot u^2 \cdot A }{2}[/tex]
∴ [tex]F_d[/tex] = (0.28 × 1.06168037 × (58.1152)² × 1.83948)/2 ≈ 923.4 N
We have;
[tex]F_d = \dfrac{M_e \cdot \varepsilon _0 \cdot \eta _d }{r}[/tex]
Where;
[tex]M_e[/tex] = The engine torque
ε₀ = The overall gear reduction ratio = 2.5
[tex]\eta _d[/tex] = The drivetrain efficiency = 0.88
r = The wheel radius = 12.6 inches = 0.32004 meters
[tex]\therefore M_e = \dfrac{F_d \cdot r }{ \varepsilon _0 \cdot \eta _d}[/tex]
[tex]\therefore M_e = \dfrac{F_d \cdot r }{ \varepsilon _0 \cdot \eta _d} \approx \dfrac{923.4 \times 0.32004 }{ 2.5 \times 0.88} \approx 134.33 \ N\cdot m[/tex]
The engine torque = [tex]M_e[/tex] ≈ 134.33 N·m
The engine torque ≈ 134.33 N·m
2) The speed of the engine, [tex]n_e[/tex], is obtained from the following formula;
[tex]v = \dfrac{2 \cdot \pi \cdot r \cdot n_e \cdot (1 - i)}{\varepsilon _0}[/tex]
Where;
v = The vehicle's speed = 130 mi/h = 58.1152 m/s
r = The wheel radius = 12.6 inches = 0.32004 meters
i = The drive axle slippage = 3% = 3/100 = 0.03
ε₀ = The overall gear reduction ratio = 2.5
[tex]\therefore n_e = \dfrac{v \times \varepsilon _0 }{2 \times \pi \times r \times (1 - i)} = \dfrac{58.1152 \times2.5 }{2 \times \pi \times 0.32004 \times (1 - 0.03)} \approx 74.486 \ rev /second[/tex]
The speed of the engine in revolution per minute = 60 seconds/minute × 74.486 rev/second ≈ 4,469.15 revolutions per minute
The speed of the engine ≈ 4,469.15 revolutions per minute.
5/8x + 1/3x = 69 x=_
Answer:
Domain of the equation: 3x!=0
x!=0/3
x!=0
x∈R
Step-by-step explanation:
Macie used 1/8 of a gram of honey to make 1/10 of a cake. How many grams of honey does it take to make one whole cake?
Answer:
10/8 or 5/4
Step-by-step explanation:
It is pretty easy. If you look at the problem it says "1/8 of a gram of honey to make 1/10 of a cake" That means that we should multiply 1/8 by 10 so it will become a whole cake.
1/8 * 10 = 10/8
If you want we can simplify it.
5/4
And that's your answer!
Suppose that 90% of all dialysis patients will survive for at least 5 years. In a simple random sample of 100 new dialysis patients, what is the probability that the proportion surviving for at least five years will exceed 80%, rounded to 5 decimal places
Answer:
The probability [tex]P(\^ p > 0.80) = 0.99957[/tex]
Step-by-step explanation:
From the question we are told that
The population proportion is p = 0.90
The sample size is n = 30
Generally mean of the sampling distribution is [tex]\mu_{\= x } = p = 0.90[/tex]
Generally the standard deviation is mathematically represented as
[tex]\sigma = \sqrt{\frac{p( -p )}{n} }[/tex]
=> [tex]\sigma = \sqrt{\frac{0.90( 1 -0.90 )}{100} }[/tex]
=> [tex]\sigma = 0.03[/tex]
Generally the he probability that the proportion surviving for at least five years will exceed 80%, rounded to 5 decimal places is mathematically represented as
[tex]P(\^ p > 0.80) = P(\frac{ \^ p - p }{ \sigma } > \frac{0.80 - 0.90}{0.03} )[/tex]
Generally [tex]\frac{\^p - p}{\sigma} = Z(The standardized \ value \ of \^ p)[/tex]
So
[tex]P(\^ p > 0.80) = P(Z > -3.33 )[/tex]
From the z-table [tex]P(Z > -3.33 ) = 0.99957[/tex]
So
[tex]P(\^ p > 0.80) = 0.99957[/tex]
Change the number below into scientific notation. 3,450,000,000
Answer:
3.450*10^4
Step-by-step explanation:
I really don’t understand this question and I don’t know what to do
Which problem could the bar diagram represent?
This image shows a rectangular grid divided in two parts by a vertical line above which number 250 is written in centre. Left side has 182 and right side has question mark.
Chad paid $250 for a new tent. He also paid $182 for four camp chairs. What is the total amount Chad spent on camping gear?
Tom's class collected 250 pounds of paper during a recycling drive. It also collected 182 pounds of aluminum. How many pounds of recycled materials did Tom's class collect altogether?
Morgan has $250. She received $182 for her birthday. What is the total amount of money Morgan has?
Kellie is driving 250 miles to visit her cousin. She has driven 182 miles so far. How many more miles does Kellie have to drive?
Answer:
I think it is A. This image shows a rectangular grid divided in two parts by a vertical line above which number 250 is written in centre. Left side has 182 and right side has question mark.
Chase tried to solve an equation step by step
1/3 (g-3)=3
g-3=9 step 1
g=12 step 2
find chase’s mistake
choose 1 answer
A - chase did not make a mistake
B- step 1
C- step 2
Answer:
A - chase did not make a mistake
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Chase did not make a mistake, to get rid of the fraction you multiply both sides by three giving you g-3=9.
and then he adds 3 to both sides giving g=12
Which one?
A. B. C. Or D.
Answer:
D
Step-by-step explanation:
Given
a² - 1 = 0 ( add 1 to both sides )
a² = 1 ( take the square root of both sides )
a = ± [tex]\sqrt{1}[/tex] = ± 1
solution is { 1, - 1 } → D
Answer:
D) {1, -1}
Step-by-step explanation:
Please share the instructions for this problem: Solve a^2 - 1 = 0, or find the roots of a^2 - 1 = 0.
Answer D is correct. Try substituting 1 for a, and then -1 for a. In both cases the given equation is true.
solve for X: 2(x + 5) + 3(x – 2) = 29
please explain too! will mark brainliest
Answer:
5
Step-by-step explanation:
2x+10+3x-6=29
5x+4=29
5x=25
x=5
Hopefully you can read it this time
The mass of a freight train is 9.98 ⋅ 10^6 kilograms. The mass of an aircraft carrier is 7.3 ⋅ 10^7 kilograms. Approximately how many more kilograms is the mass of an aircraft carrier than the mass of a freight train? Show your work and write your answer in scientific notation. (10 points)
9514 1404 393
Answer:
6.302×10^7 kg
Step-by-step explanation:
Since we want to find the difference in mass, we need to have the same exponent on both numbers. For that purpose, it is convenient to change the representation of the train's mass to 0.998×10^7 kg.
The carrier has more mass by the amount of ...
7.3×10^7 -0.998×10^7 = (7.300 -0.998)×10^7 = 6.302×10^7 . . . kg
_____
Your (scientific or graphing) calculator or a spreadsheet can figure this for you and give you the scientific notation display.
select the two roots of (3x+7)(2x-5)=0
Answer:
A and B
Step-by-step explanation:
Given
(3x + 7)(2x - 5) = 0
Equate each factor to zero and solve for x
3x + 7 = 0 ⇒ 3x = - 7 ⇒ x = - [tex]\frac{7}{3}[/tex] → A
2x - 5 = 0 ⇒ 2x = 5 ⇒ x = [tex]\frac{5}{2}[/tex] → B
The roots of the quadratic equation are x = -7/3 and x = 5/2.
The correct option is A and B.
What is a quadratic equation?For variable x : ax² + bx + c = 0, where a≠0 is a standard quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution since it is a second-order polynomial equation, which is guaranteed by the algebraic basic theorem.
Given:
A quadratic equation in the factored form,
(3x+7) (2x-5) = 0.
So, 3x + 7 = 0 or 2x - 5 = 0
x = -7/3 and x = 5/2
Therefore, the roots are x = -7/3 and x = 5/2
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