Answer:
Inequality: 50-1.99x=30
She has 10 days.
Step-by-step explanation:
So, she starts off with with $50. From there, she is buying songs that are $1.99 (everyday). You could do this multiple ways:
Guess and Check, or use Algebra.
But for Algebra:
If we graph this out, the y intercept would be (0, 50), because she is starting out with $50. From there, she is spending 1.99 each day, so the slope would be 1.99/1. So basically, we would write this as 50-1.99x (that is the expression).
We would also set this equal to 30, because we are trying to see how many days it would take to still keep her balance above $30, but make it as close to 30 as possible. (x represents the # of days.
So the inequality would be 50-1.99x=30
And, when we isolate the variable and solve, we would see that she can buy a total of 10 songs over 10 days. (So basically, she has 10 days to stay over $30).
Sarah can use her $50 gift card to download a $1.99 song for 10 full days before her balance falls below $30. This is found by solving the inequality 50 - 1.99d > 30, which indicates the maximum days she can download with the card's balance staying above the threshold.
Sarah's problem can be represented by an inequality that describes the number of $1.99 song downloads she can make before her $50 music gift card drops below $30. To find out how many days she can continue to download a song without going below a $30 balance, we'll represent the number of days as d, and the cost per day as $1.99.
The inequality will be: 50 - 1.99d > 30.
Step 1: Subtract 50 from both sides to isolate the term with d.
-1.99d > -20
Step 2: Since we're dealing with a negative coefficient for d, divide both sides by -1.99, and flip the inequality sign (a rule when dividing by a negative).
d < 20/1.99
d < 10.05
Since Sarah can't download a fraction of a song, she can download a song for full days without the balance going below $30 for 10 days.
Therefore, Sarah can download a song for 10 full days with the balance of her gift card staying above $30. After that, her balance would drop below $30 if she continues.
The area of a rectangle is (25x2 − 9y2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work.
Answer:
(5x+3y) and (5x-3y)
Step-by-step explanation:
From the concept on difference between two squares;
a² - b² = (a+b)(a-b)
Therefore;
25x² - 9y² = (5x+3y) (5x-3y)
Therefore the dimensions of the square are (5x+3y) and (5x-3y)
Answer:
the dimensions of the rectangle are (5x + 3y) and (5x - 3y)
Step-by-step explanation:
The area of a rectangle is 25x^2 - 9y^2 square units.
To find the dimensions of a rectangle we need to factorize the expression completely.
We know that (a + b)(a - b) = a^2 - b^2
In this case: a^2 = 25x^2 and b^2 = 9y^2
So a = sqrt(25x^2) = 5x
And b = sqrt (9y^2) = 3y
Then the solution is:
(a + b)(a - b) = (5x + 3y)(5x - 3y)
Then the dimensions of the rectangle are (5x + 3y) and (5x - 3y)
what is the probability of spinning a 4 on the spinner below
Answer:
D. 1/8
Step-by-step explanation:
Count the total sections - 8
Count how many 4s there are - 1
Reduce if possible, not possible here.
The probability of spinning getting 4 on the spinner will be 0.125.
What is probability?Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.
The shinner has 8 equal sections.
The total number of events will be
Total event = 8 {1, 1, 1, 2, 2, 3, 3, 4}
Then the probability of spinning getting 4 on the spinner will be
Favorable event = 1 {4}
Then the probability will be
P = 1 / 8
P = 0.125
P = 12.5%
More about the probability link is given below.
https://brainly.com/question/795909
#SPJ2
Find the mistake made in the steps to solve the equation below.
Answer:
B. Step 3 is incorrect, it should be x = 10/8
Step-by-step explanation:
Answer:
The correct option is B) Step 3 is incorrect and should be [tex]x=\frac{10}{8}[/tex].
Step-by-step explanation:
Consider the provided equation.
[tex]6x-1=-2x+9[/tex]
Step 1: Use addition property of equality.
[tex]8x-1=9[/tex]
Step 2: Use addition property of equality.
[tex]8x=10[/tex]
Step 3: Use Division property of equality.
[tex]x=\frac{10}{8}[/tex]
Step 4: Now simplify.
[tex]x=\frac{5}{4}[/tex]
Now, by comparing these steps with the provided image we can concluded that the step 3 is incorrect.
Thus, the correct option is B) Step 3 is incorrect and should be [tex]x=\frac{10}{8}[/tex].
Find a unit vector in the direction of u and opposite of u
Just divide [tex]\mathbf u[/tex] by its magnitude:
[tex]\|\mathbf u\|=\sqrt{5^2+6^2+(-1)^2}=\sqrt{62}[/tex]
So a unit vector in the direction of [tex]\mathbf u[/tex] is
[tex]\dfrac{\mathbf u}{\|\mathbf u\|}=\dfrac5{\sqrt{62}}\,\mathbf i+\dfrac6{\sqrt{62}}\,\mathbf j-\dfrac1{\sqrt{62}}\,\mathbf k[/tex]
Then multiply this by -1 to get a unit vector pointing in the opposite direction.
To find the unit vector in the direction of a vector u, divide each component by its magnitude. For a vector u=i+j, the unit vector direction is ½(i+j), and the opposite direction is ½(-i-j).
Explanation:To find a unit vector in the direction of a given vector u, we must first calculate the magnitude (or length) of u and then divide each component of u by that magnitude. Let's assume the vector u has components i and j. The magnitude of u, denoted as |u|, is given by the square root of the sum of the squares of its components, which is √(i² + j²). The unit vector in the direction of u is then the vector u divided by its magnitude, Û = (i/|u|, j/|u|).
In the case of the vector u = i + j, the magnitude is √(1² + 1²) = √2, and so the unit vector in the direction of u is Û = ½(i + j). Conversely, the unit vector in the direction opposite to u would be Û = ½(-i - j) since we are simply negating each component of the unit vector in the direction of u.
what is the sum of 1 1/2 + 3 3/4 + 5 1/8 ?
Answer:
9 1/8
Step-by-step explanation:
1. first take away the fraction part and take the whole numbers off of the numbers and add them!
1 + 3 + 5 = 9
2. now take that aside and keep that for later... now lets focus on the
1/2, 3/4, and the 1/8 these are the STARS you will be focusing on!
3. now, find the common denominator in these fractions!!!
how? here is how!
1. lets list these fractions:
1/2, 3/4, and 1/8
the common demoninator is 8 because 1. its one of the highest in this set and 2. if you multiply 1/2 and 3/4 n the numerator and the demoentator by 4 they can create a 8 denminator and then you can add them!
4. Next, I wont be explaning you just watch!
3 x2 6
_ = _
4 x2 8 (to get to 8 from 4 you multiply by 2! so you do the same for the upper one!!!)
1 x4 4
_ = _
2 x4 8
you dont do anything to 1/8 because its already part of the eights family! :D
5. I know, it took us a LONG way here but here it is! the final! now, time to add them!
4/8, 6/8 and 1/8
6. lastly...
1 1/8 + 9 = 9 1/8
Hope this helpes! sorry this was so long!!! :D
HELP ME PLSSSSS!!!!!
Answer:
b
Step-by-step explanation:
23, 34, 27, 7, 30, 26, 28, 31, 34
What number is an outlier for the given data?
A) 7
B) 23
C) 31
D) 34
Easy 10 points :p
A. 7
7 is far away from the rest of the numbers, so it is an outlier.
The answer is A) 7 since it doesn’t fit in with the other numbers. In other words it’s the smallest number.
What is the surface area of the prism?
To get the answer type 2•4•3+2•4•2+2•3•2
in to a calculator And you’ll get “52m”
Answer:
52 m²
Step-by-step explanation:
The prism has 6 rectangular faces.
Opposite faces are congruent, that is
top/bottom, front/back and sides
A = 2(4 × 3) + 2(3 × 2) + 2(4 × 2)
=( 2 × 12) + (2 × 6) + (2 × 8)
= 24 + 12 + 16
= 52 m²
Which is a function of x?
can you put up a picture then I may be able to help
Answer:
Variable
Step-by-step explanation:
x is a variable or a multiplication sign
|2x+1|>5 what is the answer
solve for real numbers x.
Answer:
see explanation
Step-by-step explanation:
Inequalities of the type | x | > a always have solutions of the form
x < - a or x > a, thus
2x + 1 < - 5 OR 2x + 1 > 5 ( subtract 1 from both sides of both inequalities
2x < - 6 OR 2x > 4 ( divide both sides of both inequalities by 2 )
x < - 3 OR x > 2
Savemore National bank starts the day with 2.81 times 10^4 dollars in the vault. At the end of the day, the bank has 3.5 times 10^5 dollars in the vault. How much more money is in the vault at the end of the day than there was in the morning ?
ANSWER
There is
[tex]3.219\times {10}^{5} [/tex]
more money in the vault in the evening than in the morning.
EXPLANATION
The amount of money in the vault in the morning is
[tex]2.81 \times {10}^{4} [/tex]
The amount of money in the vault at the end of the day is:
[tex] 3.5 \times {10}^{5} [/tex]
To find how much more money is in the vault at the end of the day than there was in the morning, we subtract to get:
[tex]3.5 \times {10}^{5} - 2.81 \times {10}^{4} [/tex]
[tex] = 3.5 \times 100000 - 2.81 \times 10000[/tex]
[tex]350000 - 28100= 321900[/tex]
Therefore, there is
[tex]3.219\times {10}^{5} [/tex]
more money in the vault.
Which of the following options is a better purchase for a bicycle?
Option 1: A cash sale for $88
Option 2: $5 down with equal payments of $8 for 10 weeks
Option 3: $12 down with equal payments of $5 for 12 months
Option 4: $20 down with equal payments of $20 for 12 months
Answer:
Option 3
Hope this helps you out!
Option 3 the answer hopes this helps u out
I need help I number five and explain please for brainless answer !! :))
Check the picture below.
[tex]\bf \begin{array}{llll} \stackrel{\textit{volume of a cylinder}}{V=\pi r^2 h}\\\\ V=3\left( \cfrac{\pi r^2 h}{3} \right)\\\\ V=3(33)\\\\ V=99 \end{array} \qquad \qquad \begin{array}{llll} \stackrel{\textit{volume of a cone}}{V=\cfrac{\pi r^2 h}{3}}\\\\ V=33\\\\\\\\\\ \end{array}[/tex]
notice, the volume of the cone is one-third of the cylinder's.
Please help me out!! Due tomorrow!!
Answer:
Step-by-step explanation:
Head: 5/2= 2.5, 2.5 x 3.14 = 7.85, 7.85 x 7.85= 61.6225
Neck: 2 x 2 = 4
Body: 7 x 10= 70
Arms: 8 x 3 = 24, 24 + 24 = 48
Legs: 4 x 2 = 8, 8 + 8 = 16
Shoes: 4 x 3= 12, 12 + 12 + 24
Triangle: 3 x 4= 12, 12/2 = 6, 6 + 6 = 12
Total: 61.6225 + 4 = 65.6225, 65.6225 + 70 = 135.6225, 135.6225 + 48= 183.6225, 183.6225 + 16 = 199.6225, 199.6225 + 24= 213.6225, 213.6225 + 12 = 225.6225
What is the value of x?
6
8
10
12
Answer:
8
Step-by-step explanation:
The sum of the internal angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
here n = 5, hence
sum = 180° × 3 = 540°
Each exterior angle plus interior angle = 180°
Subtract each exterior angle from 180 for corresponding interior angle.
180 - 59 = 121, 180 - 77 = 103, 180 - 66 = 114, 180 - 62 = 118
Sum the 4 interior angles and subtract from 540 for 5 th interior angle
5 th = 540° - (121 + 103 + 114 + 118)° = 540° - 456° = 84°
The 5 th interior angle and 12x sum to 180 ( same reason as above )
Hence
12x + 84 = 180 ( subtract 84 from both sides )
12x = 96 ( divide both sides by 12 )
x = 8
Answer:
8
Step-by-step explanation:
Can someone please help me out
Answer:
B
Step-by-step explanation:
The distance of a run compared with the number of times around a track.
The question asks for what is most likely to have a constant rate of change. This means that for every x, there is about the same y, as a constant rate of change means that there is a consistent slope, which is the x and y value. In real world terms, it means that you can expect every one value to change however much without changing randomly.
For example, when you buy a pizza, you expect a pizza to get you 8 slices. When you get two, you expect to get 16, 3 gets you 24 slices, and so on. This expectation is based off the constant rate of change, as you get 8 slices for each pizza. The slices would be modeled as y and the pizza would be modeled as x in mathematical terms in this situation.
Because we know that the track's distance doesnt change with every lap, we can expect it to have a constant rate of change. This concept is the same as the pizza as discussed earlier. Every lap would get her a certain amount of miles, and every other lap would increase the same amount.
On August 1, Charles’ checking account register showed a balance of $2,416.78. After reviewing his bank statement he noticed an NSF charge in the amount of $70.25, a service charge of $19.00, and a note collected for $456.00. There was one deposit not yet credited for $155.00 and no checks outstanding. What was his reconciled balance? $2,820.53 $2,902.53 $2,902.35 $2,783.53
Answer:
$2,783.53
Step-by-step explanation:
Answer:
$2783.53
Step-by-step explanation:
$2416.78 - $70.25 - $19.00 +$456.00 = $2783.53
Can't count the $155.00 just yet as it has not registered as a credit. NSF and the service charge are always a deduction.
Complete the table to show the values of x between 0.5 and 1
Answer:
2.4 2.2
2.3 2.4
2.2 2.6
2.1 2.8
2 3
63. Grace bought a dress, d, that was 45% off the regular price, r.
A Write an equation that represents this situation.
B The price of the dress before the 45% discount was $85.00.
After the discount, a 9% sales tax was added to the final sale
price. Calculate the final cost of Grace's desk. Show how you
found your answer.
A.
r - (r x .45) = d (The discounted price of the dress.)
B.
85 - (85 x .45) = 46.75
Now to find the final cost.
46.75 + (46.75 x .09) ~ 50.96
The final price is $50.96.
Hope this helps!
If it does, it would help a lot if you make me brainliest.
Find the range of the given data set.
, , 1, 1
1
Answer: The range is the difference between the largest and the smallest number, in this case the range would be 0
Step-by-step explanation:
Answer:
You missed a few numbers there, but the answer is 5/8 I just had this question:))
Step-by-step explanation:
What is the largest of three consecutive positive integers if the product of the two smallest is equal to 2 more than 8 times the longest.
Answer:
11Step-by-step explanation:
n, n + 1, n + 2 - three consecutive integers
The equation:
n(n + 1) = 8(n + 2) + 2 ust the distributive property
n² + n = 8n + 16 + 2
n² + n = 8n + 18 subtract 8n from both sides
n² - 7n = 18 subtract 18 from both sides
n² - 7n - 18 = 0
n² - 9n + 2n - 18 = 0
n(n - 9) + 2(n - 9) = 0
(n - 9)(n + 2) = 0 ⇔ n - 9 = 0 or n + 2 =0
n - 9 = 0 add 9 to both sides
n = 9
n + 2 = 0 subtract 2 from both sides
n = -2 < 0
n + 2 = 9 + 2 = 11
PLZZZ HELP GIVING AS MANY POINTTS
The answer is
10+x/6
Answer:
10 + x/6
Step-by-step explanation:
This is the equation you make
PLS help me fast!!!!
The following box plot shows the number of books sold each day at a store for 80 days. How many days did the bookstore sell 2 to 12 books?
A box plot is drawn with end points at 0 and 16. The box extends from 2 to 12 and a vertical line is drawn inside the box at 7
40
60
70
80
Answer:
The correct option is 1.
Step-by-step explanation:
It is given that the box plot shows the number of books sold each day at a store for 80 days.
A box plot is drawn with end points at 0 and 16. It means minimum value is 0 and maximum is 16.
The box extends from 2 to 12. It means first quartile is 2 and the third quartile is 12. A vertical line is drawn inside the box at 7, it means median is 7.
He have to find the number of days in which the bookstore sell 2 to 12 books.
2 is first quartile and 12 is third quartile, we know that
[tex]Q_1=25\%[/tex]
[tex]Q_3=75\%[/tex]
[tex]Q_3-Q_1=75\%-25\%=50\%[/tex]
The data lies between Q₁ and Q₃ is 50% of the data.
[tex]80\times \frac{50}{100}=40[/tex]
The bookstore sell 2 to 12 books in 40 days.
Therefore, the correct option is 1.
Answer:
I had to do this and i got option 1, too (40)
Step-by-step explanation:
I did it and got it right on my exam.
Find the range of f(x) =2x-6 for the domain (-2,1,5,8)
Answer: range: (-10,-4,4,10)
Step-by-step explanation: range is y value and domain is x value
f(x) will be ur y
in place of x put the value of domain
example:
f(x) =2x-6y=2(-2)-6
= -10
2) y=2[1]-6
= -4
like that do the rest of the working to find ur range.
Answer:
the range is : (-10,-4,4,10)
Step-by-step explanation:
calculate :
f(-2) = 2(-2) -6 = -10
f(1) = 2(1) -6 = -4
f(5) = 2(5) -6 = 4
f(8) = 2(8) -6 = 10
the range is : (-10,-4,4,10)
The complex number z = -2 + 10i is a sum of...
the complex number z=-2+10i
is the sum of real number 2 in the -ve x asix
and imaginary number 10in the y axis
For the given line segment, write the equation of the perpendicular bisector.
a. y= 4/5x + 17/10
b. y= 5/4x+ 17/10
c. y= 4/5x + 47/10
d. y= - 4/5 X - 47/10
will mark brainliest if correct and give 50 pts.
D.) -4/5X-47/10, because the slope of the line is 5/4 and the perpendicular bisector must be the opposite reciprocal, meaning the numerator and denominator flip and then it becomes negative. So the opposite reciprocal of 5/4 is -4/5, leading us to answer choice D
A field with an area of 2880 ft2 has the shape of a rectangle, whose length is 12 ft larger than its width. Find the dimensions of this field.
Answer:
width is 48, length is 60
Step-by-step explanation:
Answer: The dimensions of the field are
width = 40 ft and length = 60 ft.
Step-by-step explanation: Given that a field with an area of 2880 ft² has the shape of a rectangle with length 12 ft larger than the width.
We are to find the dimensions of the field.
Let w ft be the width of the given rectangular field.
Then, the length of the field will be (w + 12) ft.
According to the given information, we have
[tex]w \times (w+12)=2880\\\\\Rightarrow w^2+12w=2880\\\\\Rightarrow w^2+12w-2880=0\\\\\Rightarrow w^2+60w-48w-2880=0\\\\\Rightarrow w(w+60)-48(w+60)=0\\\\\Rightarrow (w-48)(w+60)=0\\\\\Rightarrow w-48=0,~~~w+60=0\\\\\Rightarrow w=48,-60.[/tex]
Since the measure of a side of a rectangle cannot be negative, so w = 48.
This implies that
length of the field = w + 12 = 48 + 12 = 60 ft.
Thus, the dimensions of the field are
width = 40 ft and length = 60 ft.
Look at the steps used when solving 4(x−3) = 8
Which step is the result of combining like terms?
step 2 i believe is the answer
Answer:
Step 2
Step-by-step explanation:
If there are 100 postage stamps in a sheet of stamps, and each stamp cost 29 cents, how much will one sheet of stamps cost?
Answer:
2.99
Step-by-step explanation:
To find the cost of one sheet of stamps, you multiply the number of stamps (100) by the cost per stamp (29 cents), which equals 2900 cents.
To find out how much one sheet of postage stamps will cost, we need to follow these steps:
Multiply the number of stamps by the cost of each stamp: 100 stamps × 29 cents.100 × 29 = 2900 cents.Therefore, the cost of one sheet of stamps is 2900 cents.
Graph the equation by translating y = |x|. y = |x+2|
To graph y = |x+2|, consider the parent function y = |x| and translate it 2 units to the left. Choose x-values, find the corresponding y-values, and plot the points. Connect the plotted points to obtain the graph of y = |x+2|.
Explanation:To graph the equation y = |x+2|, we will first consider the parent function y = |x|, which is a V-shaped graph that passes through the origin. Translating the graph y = |x| to the left by 2 units gives us y = |x+2|.
To plot the graph, we can choose various x-values and find the corresponding y-values. For example, when x = -4, y = |(-4)+2| = 2. Similarly, when x = -2, y = |(-2)+2| = 0. We can continue this process to find more points and then plot them on a coordinate plane.
By connecting the plotted points, we will obtain the graph of y = |x+2| which will be a V-shaped graph shifted 2 units to the left.