Step-by-step explanation:
step 1
distribute
2(x+3)=x-4
2x+6=x-4
subtract 6 from both sides
2x+6 = x - 4
2x+6-6=x-4-6
simplify the expression
2x+6-6=x-4-6
2x=x-10
Suppose the temperature increases 8º to -7ºF. What was the starting temperature?
a.
15º
c.
-13º
b.
-20º
d.
-15º
Answer:
the original temp was -15 hope this helped;-)
Step-by-step explanation:
HELP PLEASE ... For questions 10 - 11, use the table to answer the questions. It is set up to multiply
two polynomials.
x3
- 2x2
5
3x
8
10. What is the coefficient of the x3-term
of the product?
11. What is the coefficient of the x2-term
of the product?
Answer:
Step-by-step explanation:
10. \(8x^{3} - 6x^{3}\)
\(2x^{3}\)
coeff= 2
11. \(-16x^{2}\)
coeff= -16
A survey of 100 high school students provided this frequency table on how students get to school. What is the probability that a randomly selected student is a junior who takes the bus?
The probability of selecting a junior who takes the bus is P (Junior who takes the bus) = 12/200 = 0.06Hence, the probability that a randomly selected student is a junior who takes the bus is 0.06 or 6/100.
The given frequency table on how students get to school among the high school students is represented in the below table:Transportation Walk Bike BusDriveTotalGrade 9 11 10 14 15 50Grade 10 10 7 13 20 50Grade 11 8 6 12 24 50Grade 12 5 8 8 29 50 Total 34 31 47 88 200Given data from the above frequency table, we are interested in finding the probability of a randomly selected student being a junior who takes the bus.SolutionWe know that the total number of students is 200, and the total number of junior students is 50. Hence the probability of selecting a junior is P (Junior) = 50/200 = 0.25Similarly, the number of students who take the bus is 47 and the number of junior students who take the bus is 12.
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simplify by performing the indicated operation (HELP PLEASE HURRY) I HAVE NO CLUE HOW TO DO THESE
assume that y varies with directly with X. Y= -9 when x equals 3. Find "K" and write the particular equation. Then find y when x equals -5
(show work please)
Answer:
K=-3
Step-by-step explanation:
Find the arithmetic mean of the following numbers -5, 12, 24, 46, 60
Answer:
27.4
Step-by-step explanation:
To find the mean of these numbers, we'll add them together, then divide by how many numbers there are.
\(\frac{-5+12+24+46+60}{5}\\\\=\frac{137}{5}\\\\=27.4\)
\(\huge{\purple{\underline{\underline{\bf{\pink{ANSWER:-}}}}}}\)
Arithmetic mean is also called as average mean. This is given by the summation of no.s present to how many no.s there are.
Calculating arithmetic mean gives,
\(:\implies\sf{ \frac{ - 5 + 12 + 24 + 46 + 60}{5} }\)\(:\implies\sf{ \frac{ - 5 + 142}{5} }\)\(:\implies\sf{ \frac{137}{5} }\)\(:\implies\sf{27.4}\)The arithmetic mean of the above given no.s is 27.4A bank offers a CD that pays a simple interest rate of 7.0%. How much must you put in this CD now in order to have $4500 for a home-entertainment center in 5 years.
The present value that must be invested to get $4500 after 5 years at an interest rate of 7.0% is $__ (Round up to the nearest cent.)
Rounding up to the nearest cent, the present value that must be invested in the CD now is approximately $3333.34.
To calculate the present value required to have $4500 after 5 years with a simple interest rate of 7.0%, you can use the formula for simple interest:
Present Value = Future Value / (1 + (Interest Rate × Time))
In this case:
Future Value = $4500
Interest Rate = 7.0%
= 0.07
Time = 5 years
Substituting these values into the formula:
Present Value = $4500 / (1 + (0.07 × 5))
Present Value = $4500 / (1 + 0.35)
Present Value = $4500 / 1.35
Present Value ≈ $3333.33
You may use the simple interest calculation to get the present value necessary to have $4500 after five years with a simple interest rate of 7.0%:
Future Value / (1 + (Interest Rate Time)) = Present Value
In this instance
$4500 is the future value.
Rate of Interest = 7.0% = 0.07
t = 5 years
Substituting these values into the formula:
$4500 / (1 + (0.07 5)) = Present Value
$4500 / (1 + 0.35) equals the present value.
Present Value = $4500 / 1.35
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The present value that must be invested now in order to have $4500 for a home-entertainment center in 5 years at an interest rate of 7.0% is approximately $3333.33
How to find the present value that must be invested to get $4500 after 5 yearsUsing the formula for calculating the future value of a single sum:
Future Value (FV) = Present Value (PV) + (PV * Interest Rate * Time)
We rearrange the formula to solve for the present value (PV):
PV = FV / (1 + Interest Rate * Time)
Plugging in the given values:
FV = $4500
Interest Rate = 7.0% = 0.07
Time = 5 years
PV = $4500 / (1 + 0.07 * 5)
PV = $4500 / (1 + 0.35)
PV = $4500 / 1.35
PV ≈ $3333.33
Therefore, the present value that must be invested now in order to have $4500 for a home-entertainment center in 5 years at an interest rate of 7.0% is approximately $3333.33 (rounded up to the nearest cent).
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Last week, a chocolate shop sold 9 ounces of white chocolate. It sold 9 9/10 times as much milk chocolate as white chocolate. How many ounces of milk chocolate did the shop sell?
please answer asap
Solving the Question
We're given:
9 ounces of white chocolate sold\(9\dfrac{9}{10}\) times as much milk chocolate as white chocolate soldIf the shop sold " \(9\dfrac{9}{10}\) times as much milk chocolate as white chocolate", we must multiply \(9\dfrac{9}{10}\) by the amount of white chocolate sold to find the amount of milk chocolate sold.
Multiply \(9\dfrac{9}{10}\) by 9 ounces:
\(9\dfrac{9}{10}\times9\)
Convert the fraction into an improper fraction:
\(=\dfrac{99}{10}\times9\)
Multiply:
\(=\dfrac{891}{10}\)
AnswerThe shop sold \(\dfrac{891}{10}\) ounces of milk chocolate.
Х3Which expression has the largest value? Each has as a factor.89 3A2.10B89200001 COTNE00 00 00 00 00 00 00 007D 2
The correct option is the first option
EXPLANATION
\(\begin{gathered} A.\frac{9}{2}=4.5 \\ \\ B\text{.}\frac{10}{89}=0.11235955 \\ \\ C\text{. 1 }\frac{2}{3}=1.666666666 \\ D.2\frac{7}{8}=2.875 \end{gathered}\)Looking at the options 4.5 is the largest value
THE FINAL ANSWER IS OPTION A
A tailor has 20 yards of shirt fabric.how many shirts can she complete if each shirt requires 2 3/4 yards of fabric?
The length of the shirt fabric is L=20 yards.
The requirement of each shirt is t.
\(\begin{gathered} t=2\frac{3}{4}\text{ yards} \\ =\frac{2\times3+3}{4}\text{ yards} \\ =\frac{11}{4}\text{ yards.} \end{gathered}\)The number of shirts can be determined as,
\(\begin{gathered} N=\frac{L}{t} \\ =\frac{20\text{ yards}}{\frac{11}{4}yards} \\ =20\times\frac{4}{11} \\ =\frac{80}{11}\approx7 \end{gathered}\)Thus, the required number of shirts is 7.
Thus, option (B) is the correct solution.
6(31)+6(4)-6(15) mental math form
\(6(31)+6(4)-6(15)=6(31+4-15)=6(20)=120\)
ok done. Thank to me :>
Christie has $200 in her bank account. Every month, she deposits $20 into her account.
The equation of the line that models the amount of money, y, in her account x months from now is y = x .
Answer:
y = 20x + 200
Step-by-step explanation:
The 200 is the constant. It is only added once, but the monthly deposits are added at 20 every month.
After 1 month:
y = 20x + 200
y = 20(1) + 200
y = 20 + 200
y =220 money deposited.
After 2 months:
y = 20x + 200
y = 20(2) + 200
y = 40 + 200
y =240 money deposited.
After 3 months:
y = 20x + 200
y = 20(3) + 200
y = 60 + 200
y = 260 money deposited
And so on, and so on, and so on...
3/8=4/7x what is x please help me omg
The value of the variable x = 21/32
What are algebraic expressions?Algebraic expressions are simply described as expressions that are composed of variables, coefficients, terms, constants and factors.
These expressions are also made up of certain arithmetic or mathematical operations.
These operations includes;
SubtractionDivisionAdditionMultiplicationBracketParenthesesFrom the information given, we have that;
3/8=4/7x
cross multiply the values, we have;
7x(3) = 8(4)
multiply the values and expand the brackets, we get the values;
21x = 32
Divide both sides by the coefficient of the variable x, we get;
x = 32/21
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Write 4.25 as a mixed number and as an improper fraction. Write your answers in simplest form.
mixed number: 4 1/4
improper fraction: 17/4
Find the measure of angle b
Answer:
I'm guessing it would be 48⁰ since it looks like I was 90⁰ so 90⁰ minus 42⁰ is 48⁰ sorry if its wrong brain is having a brain fart
Help math if f(x) =
PLEASEEEEE MY LIFE DEPENDS ON THIS
I will send good fortune your way if you answer correctly (and points)
ou are working with the penguins dataset. you want to use the summarize() and mean() functions to find the mean value for the variable body mass g. you write the following code: penguins %>% drop na() %>% group by(species) %>% add the code chunk that lets you find the mean value for the variable body mass g.
The mean body mass of the Adelie species is 3706.164 g.
Original chunk of code:
penguins %>%
drop_na() %>%
group_by(species) %>%
The code chunk summarize(mean(body_mass_g)) lets you find the mean value for the variable body_mass_g. The correct code is
penguins %>% drop_na() %>% summarize (mean(body_mass_g)).
The summarize () function displays summary statistics. We can use the summarize() function in combination with other functions - such as mean(), max(), min() - to calculate specific statistics. In this case, you use mean() to calculate the mean value for body mass.
Hence, The mean body mass for the Adelie species is 3706.164 g.
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5/8c + 13 = 18 solve for c
Answer:
the answer to your question is 8 ( award brainliest)
Step-by-step explanation:
c=8
if you want a more detailed explanation comment down below this post
The area of the triangle below is 29.25 square centimeters. What is the length of the base?
Answer:
b = 9
Step-by-step explanation:
0.5 bh= 29.25
thus
(0.5)(b)(6.5)=29.25
thus
b= 58.5/6.5 = 9
Answer:
9?
Step-by-step explanation:
Walmart was having a sale on video games. They offered a 15% discount on a game that was originally priced at $30. After the sale, the discounted price of the game was increased by 10%. What is the new price of the game after this increase?
Answer:
28.05$
Step-by-step explanation:
The game got a discount of 15%.
New price is (30$) ( 0.85 ) = 25.5$ (since the discount is 15% you only pay for the 85% of the original price)
Then an increase of 10%. this is:
New price: 25.5$ (1.10) = 28.05
New price is 28$ with 5 cents
2. The value, v, of the hat is less than $9.
what is the inequality
Answer:
v < 9
Step-by-step explanation:
Since the value of the hat is less than 9, we will use a less than sign.
In the inequality, the less than sign has to be in front of 9.
So, put this together:
v < 9
The inequality is v < 9
In the following exercises, multiply
One bar of candy A and two bars of candy B
have 767 calories. Two bars of candy A and
one bar of candy B contain 775 calories. Find
the caloric content of each candy bar.
I'm not 100% sure, but imma have a go.
Answer:
a = 261; b = 253
Step-by-step explanation:
label candy bar A as a
label candy bar B as b
Make 2 equations.
2b + a = 767 (1)
b + 2a = 775 (2)
Solve for a in (1)
2b + a = 767 (-2b)
a = -2b + 767
Substitute for into (2)
b + 2( -2b + 767 ) = 775 (flip)
2( -2b + 767 ) + b = 775 (solve)
−4b + 1534 + b = 775 (add b)
-3b + 1534 = 775 (subtract 1534 from both sides)
−3b = −759 (divide both sides by 3)
b = 253
Substitute b into (1)
a = -2b + 767 (substitute)
a = -2 (253) + 767 (solve)
a = -506 + 767 (add)
a = 261
The circumference of a circle is 10π ft. What is the area, in square feet? Express your answer in terms of \piπ.
Answer:
A = 25π square feet
Step-by-step explanation:
C = 2πr
10π = 2πr
10π = 2πx
10π / 2π = 2πx / 2π
5 = x
This means 5 is the radius of the circle. We now need to find the area:
A = πr\(r^{2}\)
A = π(5)²
A = π(25)
A = 25π
The vertices of figure PQRS are translated to form figure P'Q'R'S'. Select all the statements that describe the two figures. Q S R P' S' Q' 'R
the anawer choices are : A. P Q R S is the preimage of PQRS, B. the two figures are congruent, C. the two figures are in different positions , but have the same orientation, D. the two figures are in different positions and have oppsoite orientation , E. corresponding angles and sides of the figures have the same measures.
The true statements are:
(B) Both figures are congurent.
(C) The two figures have the same orientation but different positions.
(E) Corresponding angles and sides have the same measures.
What is orientation?In geometry, how an item is positioned in the space it occupies—such as a line, plane, or rigid body—is described in terms of its orientation, angular position, attitude, bearing, and direction.
It refers more particularly to the fictitious rotation required to shift an object from a reference placement to its present location.
To get to the current positioning, a rotation might not be sufficient.
It could be required to include a fictitious translation known as the object's location (or position, or linear position).
Together, the position and orientation completely explain where the object is situated in space.
Therefore, the true statements are:
(B) Both figures are congurent.
(C) The two figures have the same orientation but different positions.
(E) Corresponding angles and sides have the same measures.
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Ty bought a new computer for $499. This brand depreciates at a rate of 12% of the original price per year. The value y of Ty's computer, x years after he purchased it, is found using an equation in the form y = mx + b. What is the approximate value of m?
Answer:
the approximate value of m is -0.12, indicating that the value of Ty's computer decreases by 0.12 (or 12%) each year.
Step-by-step explanation:
o express this depreciation rate as a slope in the equation y = mx + b, we need to determine how much the value changes (the "rise") for each year (the "run").
Since the value decreases by 12% per year, the slope (m) would be -12%. However, we need to express the slope as a decimal, so we divide -12% by 100 to convert it to a decimal:
m = -12% / 100 = -0.12
Jaxon is flying a kite, holding his hands a distance of 3.25 feet above the ground and letting all the kite’s strings play out. He measures the angle of elevation from his hand to the kite to be 24∘. If the string from the kite to his hand is 105 feet long, how many feet is the kite above the ground? Round your answer to the nearest tenth of a foot if necessary.
Answer: 46.0 ft
Step-by-step explanation:
\(\sin 24^{\circ}=\frac{x}{105}\\\\x=105\sin 24^{\circ}\)
So, the distance above the ground is \(105\sin 24^{\circ}+3.25 \approx \boxed{46.0 \text{ ft}}\)
YA'LL ARE SMART ! PLEASE HELP !
Answer:
are you sure?
Step-by-step explanation:
It seems hard, can anyone please help him?
1. The value of y varies directly with x. If
x = 13, then y = 65. What is the value of x
when y = 35?
Answer: x=7
Step-by-step explanation:
To find the value of x, we can set a proportion since the problem states that "y varies directly with x".
\(\frac{13}{65} =\frac{x}{35}\)
Here, we see that the x is the numerator and y is the denominator.
\(\frac{13}{65} =\frac{x}{35}\) [cross multiply]
\(455=65x\) [divide both sides by 65]
\(x=7\)
Now, we know that x=7. Logically, we know this is also correct because y=35 is less than y=65. This tells us that x has to be smaller than x=13.
find the standard form of the equation of the ellipse having foci (2,0) and (2,6) and a major axis of length 8
The standard form of the equation of the ellipse is (x - 2)^2 / 4 + (y - 3)^2 / 7 = 1
To find the standard form of the equation of the ellipse, we first need to determine some of its properties.
The foci of the ellipse are given as (2, 0) and (2, 6). This tells us that the center of the ellipse is at the point (2, 3), which is the midpoint of the line segment connecting the foci.
The major axis of the ellipse is given as a length of 8. Since the major axis is the longest dimension of the ellipse, we can assume that the length of the major axis is 2a = 8, so a = 4.
Next, we need to determine the length of the minor axis. We know that the distance between the foci is 2c = 6, so c = 3. Since c is the distance from the center of the ellipse to each focus, we can use the Pythagorean theorem to find the length of the minor axis
b^2 = a^2 - c^2
b^2 = 4^2 - 3^2
b^2 = 7
b = sqrt(7)
Now we have all the information we need to write the standard form of the equation of the ellipse. The standard form is
(x - h)^2 / a^2 + (y - k)^2 / b^2 = 1
where (h, k) is the center of the ellipse. Plugging in the values we found, we get
(x - 2)^2 / 4 + (y - 3)^2 / 7 = 1
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