Answer:
x = 24 x = 7
Step-by-step explanation:
|2x-31| = 17
Absolute value equations have 2 solutions, one positive and one negative
2x-31 = 17 and 2x-31 = -17
Add 31 to each side
2x-31+31 = 17+31 and 2x-31+31 = -17+31
2x = 48 2x = 14
Divide by 2
2x/2 = 48/2 2x/2 = 14/2
x = 24 x = 7
Answer:
24
To find:
x
Step-by-step explanation:
2x-31 = 17
2x=17+31
2x=48
x=48/2
x=24
hope it helps you!
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.
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)
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
To learn more about exponential functions, please check: https://brainly.com/question/26331578
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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.
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
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.
factor: 3x^2 + 2x - 21
Answer: (3−7)(+3)
Step-by-step explanation:
NEED ANSWERS ASAP (algebra)
1.Find the equation of line W that has a y intercept of 8 and x intercept of 5
2.What is the slope of the line with the following equation
y= -3x + 7
3.what is the x intercept of the line with the following equation
6x-3y=24
4.Solve the following inequality
[tex] - 53 \geqslant - 3(3x + 3) + 3x [/tex]
5.solve the equation
[tex] \frac{3x}{4} - \frac{x}{12 } = \frac{7}{8} [/tex]
6.Find the Value of x:
[tex]x + ( x + 1) + (2x + 2) + (3x + 3) = 90[/tex]
Answer:
1) y = -8/5x + 8
2) slope = -3
3) x = 4
4) x ≥ 22/3
5) x = 21/16
6) x = 12
Step-by-step explanation:
1) For the slope, you know you go up 8 left 5 to get from the x-intercept to your y-intercept so it’s positive 8 over -5 (rise over run).
This makes your slope 8/-5 which is the same as -8/5
2) The slope is next to the x, so the slope is -3/1 which is -3.
3) Rearrange the equation to y = mx + b.
Firstly, subtract 6x from both sides:
-3y = -6x + 24
Then, divide both sides by -3:
y = 2x - 8
To get the x-intercept, divide the y-intercept (but positive) by the slope.
8/2 = 4
Your x-intercept is 4.
4) Distribute on the terms:
-53 ≥ -9x - 9 + 3x
Combine like terms:
-53 ≥ -6x - 9
Add 9 to both sides:
-44 ≥ -6x
Divide both sides by -6:
44/6 ≤ x
(Inequality flipped because you divide by a negative)
Simplify:
22/3 ≤ x
Flip the inequality:
x ≥ 22/3
5) Multiply both sides by 4:
3x - x/3 = 7/2
Multiply both sides by 3:
9x - x = 21/2
Combine like terms:
8x = 21/2
Divide both sides by 8:
x = 21/16
or
x = 1.3125
6) Combine like terms:
7x + 6 = 90
Subtract 6 from both sides:
7x = 84
Divide both sides by 7:
x = 12
Hope this helps!
8.5x -2(2x +8) = 11
what is the answer
How do I get the rule
Gigi makes a scale drawing of a patio. The drawing below shows the two scales she used to plan two patios of different sizes. Scale 1: 1 centimeter = 5 feet. Scale 2: 1 centimeter = 8 feet. A rectangle with length 7 centimeters and width 5 centimeters. Which shows the correct dimensions of the rectangle in both scales? Scale 1: 40 ft by 56 ft; Scale 2: 35 ft by 40 ft Scale 1: 56 ft by 25 ft; Scale 2: 35 ft by 40 ft Scale 1: 35 ft by 25 ft; Scale 2: 56 ft by 40 ft Scale 1: 56 ft by 40 ft; Scale 2: 35 ft by 25 ft
Answer:
Scale 1: 35ft by 25ft
Scale 2: 56ft by 40ft
Step-by-step explanation:
Given
Rectangle: 7cm by 5cm
Scale 1: 1cm = 5ft
Scale 2: 1cm = 8ft
Required
Determine the scale measurement
For Scale 1:
Actual Measurement
[tex]Length = 7cm[/tex]
[tex]Width = 5cm[/tex]
Scale 1: 1cm = 5ft
To calculate the scale measurement, we have to multiply the actual measurements by 5:
This gives:
[tex]Length = 7 * 5ft[/tex]
[tex]Length = 35ft[/tex]
[tex]Width = 5 * 5ft[/tex]
[tex]Width = 25ft[/tex]
So, the new measurement is 35ft by 25ft
For Scale 2:
Actual Measurement
[tex]Length = 7cm\\Width = 5cm[/tex]
Scale 2: 1cm = 8ft
To calculate the scale measurement, we have to multiply the actual measurements by 8:
Scale Measurement:
[tex]Length = 7 * 8ft[/tex]
[tex]Length = 56ft[/tex]
[tex]Width = 5 * 8ft[/tex]
[tex]Width = 40ft[/tex]
So, the new measurement is 56ft by 40ft
Answer:
c). Scale 1: 35 ft by 25 ft; Scale 2: 56 ft by 40 ft
Step-by-step explanation:
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.
I really don’t understand this question and I don’t know what to do
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 = %
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
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
To learn more about the quadratic equation;
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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]
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:
please help me with this
Answer:
the mean is 5
Step-by-step explanation:
because if you add all the numbers and divide by the number of digits you should get the equation 40/8= 5 and that´s the answer
Answer: 5
Step-by-step explanation:
add up all the numbers, then divide by how many integers there are.
2+3+4+4+4+5+8+10=40
40 divided by 8 equals 5
Change the number below into scientific notation. 3,450,000,000
Answer:
3.450*10^4
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!
Do yall know what 4 1/2÷6 is?
Answer:0.75
Step-by-step explanation:
Answer:
3/4
Step-by-step explanation:
i like to turn them into improper fractions
4 and 1/2 is 9/2
6 is 6/1
to divide fractions, multiply by the reciprocal
6/1 flipped is 1/6
then multiply
9/2 x 1/6 = 9/12
simplify
3/4
-3x+3y=3 and -5x+y=13
Answer:
y = x + 3
y = 5x + 13
Find the volume of a cube of side 9 cm in cubic metres.
Plase help me I will mark you as the brainliest.
please please please please please
Answer:
Step-by-step explanation:
Side = 9 cm
Volume of cube = side³
= 9³
= 9 * 9 *9
= 729 cubic cm
Answer:
0.000729 [tex]m^{3}[/tex]
Step-by-step explanation:
Before solving, make sure to know what is being asked. The question is asking for the answer in cubic meters ([tex]m^{3}[/tex]), but the given is in cm. Let's convert 9 cm to meter first.
Take note that 1 cm is 0.01 meter, so:
9 cm is 0.09 meter
Next, remember the formula for the volume of a cube: V = [tex]a^{3}[/tex], where V is equal to volume and [tex]a^{3}[/tex] refers to the side of the cube multiplied three times.
V = 0.09 m x 0.09 m x 0.09 m
V = 0.000729 [tex]m^{3}[/tex]
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
Help me quickly plz !!!!!!!!!!!!
Answer:
64
Step-by-step explanation:
10=-6+u/4
+6 both sides
16=u/4
times both sides by 4
64=u
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
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:
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.