The total number of pages in Daniel's book is 70 pages.
Given that Daniel has read 60% of it and that he has 28 pages left to finish it. The remaining 28 pages represent the
40% of the book that Daniel has not read yet.
We can set up the equation where 40% of the total page number (represented as x) equals 28 pages.
0.40x = 28
x = 28 / 0.40
x = 70
There are 70 pages in the book.
To find the total number of pages in the book, we'll start by setting up an equation based on the information provided. Let's denote the total number of pages in the book as x.
Daniel has read 60% of the book, leaving 40% unread. Given that he has 28 more pages to finish, we can express this information in an equation:
0.40x = 28
This equation represents the 40% of the book that Daniel has yet to read, which equals the 28 pages remaining.
To find the total number of pages ( x ), we divide both sides of the equation by 0.40:
[tex]\[ x = \frac{28}{0.40} \][/tex]
x = 70
So, there are 70 pages in the book. This solution implies that there are 70 pages, considering that "nothing" is simply a placeholder value and doesn't affect the calculation.
Budget planners in two towns, Alphaville and Betaville, developed models to determine the budget surplus (in dollars) for a year based on the tax revenue (in thousands of dollars) for the year. Using historical data, Alphaville’s planner produced the model -2x2+ 500x, while Betaville’s planner produced the model x2- 100x + 10,000. What expression gives how much greater Alphaville’s annual budget surplus is than Betaville’s for a particular amount of tax revenue? If the tax revenue that year in each town is $75,000, how much greater is Alphaville’s budget surplus than Betaville’s that year?
Please help! I WILL MARK BRAINLIEST
Answer:
(a)[tex]-3x^2+150x-10000[/tex]
(b)[tex]-\$16,863,760,000[/tex]
Step-by-step explanation:
Alphaville's Budget Surplus Model is [tex]-2x^2+ 500x[/tex]
Betaville's Budget Surplus Model is [tex]x^2- 100x + 10000.[/tex]
We want to determine the expression that shows how much greater Alphaville’s annual budget surplus is than Betaville’s for a particular amount of tax revenue.
To do this, we subtract Betaville's Model from Alphaville's model.[tex]-2x^2+ 500x-(x^2- 100x + 10000)\\[/tex]
Opening the brackets
[tex]-2x^2+ 500x-x^2+100x - 10000\\[/tex]
Collect like terms and simplify
[tex]-2x^2-x^2+100x + 500x- 10000\\=-3x^2+150x-10000[/tex]
The expression that shows how much greater Alphaville's Budget is:
[tex]-3x^2+150x-10000[/tex]
(b) If the tax revenue that year in each town is $75,000
We want to evaluate the expression derived above when the tax revenue that year in each town is $75,000 i.e.at x=75000
[tex]-3x^2+150x-10000\\=-3(75000)^2+150(75000)-10000\\=-\$16,863,760,000[/tex]
Multiply. Write your answer as a fractionin simplest form. 8/15(−2/3)=
Answer:
-16/45
Step-by-step explanation:
8/15 x (-2/3)
multiplying a positive and a negative equals a negative
-8/15 x 2/3
multiply the fractions
-16/45
Answer:
-16/46
Step-by-step explanation:
What’s the equation
Answer:
A
Step-by-step explanation:
Total cost = number of items * constant price
t = n*9
t÷9 = n
what quadrant is (-3,y) y
Its found in the second quadrant
The two conditional relative frequency tables show the results of a neighborhood survey on the number and types of gardens in the community.
A 4-column table with 3 rows titled garden-type frequencies by column. The first column has no label with entries flower garden, no flower garden, total. The second column is labeled vegetable garden with entries 0.28, 0.72, 1.0. The third column is labeled no vegetable garden with labels 0.22, 0.78, 1.0. The fourth column is labeled total with entries 0.25, 0.75, 1.0.
Table B: Garden-Type Frequencies by Row
A 4-column table with 3 rows titled garden-type frequencies by row. The first column has no label with entries flower garden, no flower garden, total. The second column is labeled vegetable garden with entries 0.56, 0.48, 0.5. The third column is labeled no vegetable garden with labels 0.44, 0.52, 0.5. The fourth column is labeled total with entries 1.0, 1.0, 1.0.
Which table could be used to answer the question "Assuming someone has a flower garden, what is the probability they also have a vegetable garden?"
Table A, because the given condition is that the person has a flower garden.
Table A, because the given condition is that the person has a vegetable garden.
Table B, because the given condition is that the person has a flower garden.
Table B, because the given condition is that the person has a vegetable garden.
Answer:
C
Step-by-step explanation:
if youre looking on edge then yeah
Table B, because the given condition is that the person has a flower garden.
What is mean by Probability?The term probability refers to the likelihood of an event occurring. Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
Now,
In Table A, there are frequencies by column .
The columns of the table are "Vegetable Garden" and "No Vegetable Garden".
It means if we assume some one as a Vegetable Garden or No Vegetable Garden as initial condition, then Table A works.
In Table B, there are frequencies by rows .
The columns of the table are "Flower Garden" and "No Flower Garden".
It means if we assume some one as a Flower Garden or No Flower Garden as initial condition ,then Table B works.
Hence, Table B could be used to answer the given question because the given condition is that the person has a flower garden.
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I need help on this math problem
Answer:IS C
Step-by-step explanation:
Sam is baking cakes at her parent’s bakery. She gets paid 20 a week in addition to 5 for every cake she bakes. She made 50 this week. Write an equation to show how many cakes Sam baked this week
Answer:
i think it is 20 + 5x = 50 or f(x)=2(3^x)
Step-by-step explanation:
equation to show how many cakes sam baked this week:
20 + 5x = 50
20 = 20 dollars
5 = 5 more dollars
x = number of cakes
therefore, sam earned $50 this week.
Answer:
20+5x=50
x will represent the number of cakes she baked
she gets paid $5 for every cake she bakes, this is where the 5x comes from
she makes $20 ("in addition" that's where the "+20" comes from) a week. However, in this case we're only talking about what she made in one week, hense why there is no variable attached to the 20
she makes a total of $50
20+5=50
she baked a total of 6 cakes. How?
subtract 20 from both sides so you have:
5x=30
divide both sides by 5 to get x by itself:
x=6
Ac is tangent to circle o at point c what is the length of ac?
Answer:
The Answer is 12
Step-by-step explanation:
Use Pythagorean theorem. AB=8 and BO=5 We still need to find AO
AO=AB+BO
8+5
AO=13
Now solve for AC
AC^2 + OC^2= AO^2
AC^2+5^2=13^2
AC^2+ 25=169
AC^2=144
AC= 12
If john had 9 apples and pickles gave him ten more how much apples does John have?
(9+10)
Answer:
21
but if ur serius then 19
Step-by-step explanation:
Answer:
19 Apples
Step-by-step explanation:
If john originally had 9 apples and then added ten more to his pile, then John would have 19 apples in all.
A large dog weighs 80 pounds. What is the dog’s weight in ounces? (16 oz = 1 lb) A.5 oz B. 10 oz C. 640 oz D. 1,280 oz
Answer:
1280 Oz - Option D
Step-by-step explanation:
16 ounces to a pound. 16 × 80 = 1280oz
Answer: D
If you convert it it would give you 1,280
Without drawing the graphs, find the points of intersection of the lines:
11x–6y=2 and –8x+5y=3
PLZZZZZZZ HELP!
The point of intersection of the lines given by the equations [tex]\( 11x - 6y = 2 \) and \( -8x + 5y = 3 \) is \( (4, 7) \).[/tex]
To find the points of intersection of the given lines, we need to solve the system of linear equations simultaneously.
The given equations are:
[tex]\[ 11x - 6y = 2 \quad \text{(Equation 1)} \][/tex]
[tex]\[ -8x + 5y = 3 \quad \text{(Equation 2)} \][/tex]
We can solve this system using the method of substitution or elimination. Let's use the elimination method to find the values of [tex]\( x \)[/tex]and [tex]\( y \).[/tex]
First, we will make the coefficients of [tex]\( y \)[/tex] the same in both equations by multiplying Equation 1 by 5 and Equation 2 by 6:
[tex]\[ 5(11x - 6y) = 5(2) \][/tex]
[tex]\[ 6(-8x + 5y) = 6(3) \][/tex]
This gives us:
[tex]\[ 55x - 30y = 10 \quad \text{(Equation 3)} \][/tex]
[tex]\[ -48x + 30y = 18 \quad \text{(Equation 4)} \][/tex]
Now, we add Equation 3 and Equation 4 to eliminate [tex]\( y \):[/tex]
[tex]\[ (55x - 30y) + (-48x + 30y) = 10 + 18 \][/tex]
[tex]\[ 7x = 28 \][/tex]
Dividing both sides by 7, we get:
[tex]\[ x = 4 \][/tex]
Now that we have the value of [tex]\( x \)[/tex], we can substitute it back into either Equation 1 or Equation 2 to find the value of [tex]\( y \)[/tex]. Let's use Equation 1:
[tex]\[ 11(4) - 6y = 2 \][/tex]
[tex]\[ 44 - 6y = 2 \][/tex]
Subtracting 44 from both sides, we get:
[tex]\[ -6y = -42 \][/tex] Dividing both sides by -6, we get:
[tex]\[ y = 7 \][/tex].
Find the area of the pentagon.
A)
107 inches?
B)
116 inches?
150 inches
D)
182 inches?
Rewrite the radical expression as an expression with a rational exponent.
The answer choices are in the picture!
Answer:
first one is the right answer
Answer:
[tex] = {x}^{ \frac{5}{4} } [/tex]
Step-by-step explanation:
[tex] \sqrt[4]{ {5}^{5} } \\ {5}^{(5) \times \frac{1}{4} } \\ = {5}^{ \frac{5}{4} } [/tex]
Leticia recently rented an office space and now needs someone to do weekly cleaning. She received these bids from two different cleaning services. Quick Clean charges a $30 cleaning supply fee for every visit and $20 per hour. Three Friends Cleaners provided the table below to show its cost. image 584f4e6957dd4bd891b08a92e88537ac Which statements comparing the costs of the two cleaners are true? Choose all that are correct. A If it takes 10 hours for Leticia's office space to be cleaned, Three Friends Cleaners is less expensive than Quick Clean. B If the cleaning costs for each company were graphed, the y-intercepts would be the same. C If it takes 5 hours for Leticia's office space to be cleaned, Three Friends Cleaners is less expensive than Quick Clean. D If the cleaning costs for each company were graphed, the graphs would intersect when x equals 6 hours. E Three Friends Cleaners charges $5 more per hour than Quick Clean.
Answer:
C
Step-by-step explanation:
I also did this question, and the answer was C
Use multiplication in the distributive property to find the quotient 60÷4
Answer: 60 divided by 4 = 15
Step-by-step explanation:
60 divided by 4 is 15.
I multiply 4 and 10.
That gets me to 40.
Now I muplity 5.
It got me to 20.
Then I add 40 and 20.
Then I get 60. (I hope this helped!)
Raj paints 10 3/7 feet of his fence on Friday and 15 1/3 feet of his fence on Saturday.
How many feet of his fence did Raj paint on both days?
Answer: 25 16/21 feet
Step-by-step explanation:
10 3/7 + 15 1/3 = 25 16/21
5. Is the equation 2x + 8 = y a
direct variation? (yes or no)
Answer:
Yes.It is
Step-by-step explanation:
A relationship between two variables in which one is a constant multiple of the other. the types of variation include direct, inverse, joint, and combined variation keep that in hand
Does a dilation produce a congruent figure
After dilation, the size of the new image is not the same as the original. Therefore, dilation cannot produce a congruent figure.
Recall:
When two figures are congruent, it means they have the same shape and size, whereby, all pairs of corresponding angles and sides of both figures are congruent or equal in measure.The image attached below shows a dilated figure.Dilation is a transformation that enlarges a figure or reduces the figure.
After dilation, the new figure maintains the same shape of the original figure.
However, after dilation, the size of the new image is not the same as the original. Therefore, dilation cannot produce a congruent figure.
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A reporter determines a baseball player’s batting average, which is a ratio of the number of hits to number of times at bat. The result is shown on a calculator as 0.212121....Write this repeating decimal as a fraction.
Answer:
21/99 or 7/33
Step-by-step explanation:
x = 0.212121
Then we multiple the decimal and x by hundred.
100x = 21.212121
Then we subtract the 21.212121 by 0.212121.
100x = 21.212121 - 0.212121
But when you are subtracting 100x, you need to subtract 100x by x because in the first step it said x = 0.212121.
100x - x = 21.212121 - 0.212121
You will have at the end is
99x = 21
Divide 99 on both side and you left with
21/99 or 7/33 simplified version
Which coordinate pair fits the set of coordinates (0,4), (-2, 1), (-4,-2)} defined by a linear function?
(5, 12)
(-6,-5)
(-3,-1)
(-6,-5)
Answer:
D.(-6,-5)
Step-by-step explanation:
y-intercept = 4
slope(m) =
1 - 4
-2 - 0
=
3
2
thus,
y =
3
2
x + 4
then, plug in values
Factor 4x^2 + 49y^2 please.
Answer:
(2x + 7yj)(2x - 7yj)
Step-by-step explanation:
Both 4x^2 and 49y^2 are perfect squares, and
4x^2 + 49y^2 is the sum of two squares.
There is a formula for factoring the difference of two squares:
a^2 - b^2 = (a - b)(a + b) (all real numbers here), but unless imaginary numbers are allowed, there's no formula for factoring the sum of two squares.
If imaginary numbers are allowed, then a^2 + b^2 factors into
(a + jb)(a - jb).
Following this pattern, 4x^2 + 49y^2 factors into (2x + 7yj)(2x - 7yj)
a^2 + b^2 = (a + b)(a
35% off $85.98 I'm having trouble with this.
Answer:
Step-by-step explanation:
i asked siri 55.87
Answer:
The new price is $55.887
Step-by-step explanation:
Step 1: Find the discounted price
Make an equation
85.98 * (1 - 0.35) = x
85.98 * 0.65 = x
Multiply
85.98 * 0.65 = x
55.887 = x
Answer: The new price is $55.887
PLEASE HELP ME!!!
Select the statement that correctly completes the sentence. When using more than one adjective, ________.
A. size comes after color
B. size comes after shape
C.size comes before color
D. size comes before opinion
Answer:
more comfortable
Step-by-step explanation:
Final answer:
When using more than one adjective, 'size comes before color', which is option C. Adjectives in English typically follow an established order, with the size adjective placed before the color adjective.
Explanation:
The correct statement that completes the sentence when using more than one adjective is C. size comes before color. In English, adjectives follow a specific order in which they appear before a noun. This order is generally: opinion, size, shape, age, color, origin, material, and purpose. Therefore, size should be placed before color when describing a noun with multiple adjectives.
For example, when arranging adjectives in a sentence, the phrase would be 'a small green book' rather than 'a green small book'. The adjective 'small' represents the size and 'green' represents the color, and according to the correct adjective order, size should come before color.
Write the numbers in order from greatest to least.
-2, 1 1⁄2, -2 3⁄4, 3⁄10
Answer:
11/2, 3/10 , -2, -2 3/4
Step-by-step explanation:
negatives are definitely on the least side. And 11/2 is 5 1/2 which is way greater 3/10. -2 3/4 means it is 3/4 more away from 0 than -2 is. So here!
The order from greatest to least is:
1 1/2 3/10 -2 -2 3/4-2: This is a negative number, which means it is less than zero.
1 1/2 (or 1.5): A positive number greater than zero.
-2 3/4 (or -2.75): This is also a negative number and is less than -2.
3/10 (or 0.3): This is another positive number, but less than 1.
Negative numbers always rank lower than positive numbers.
Among the negative numbers, -2 is greater than -2.75.
Comparing the positive numbers:
1.5 is greater than 0.3.
Use the net to find the surface area of the rectangular prism. A) 168 units2 B) 192 units2 C) 220 units2 D) 224 units2
Answer:
See below.
Step-by-step explanation:
You didn't provide any dimensions to test the answers with, but here is how you could solve the problem.
A rectangular prism is just an oblong cardboard box basically. Think about how you would unfold that box. It would be made up of 3 pairs of rectangles (2 end pieces, the top and bottom, and 2 sides). To calculate its surface area you just calculate the areas of each piece and add them up.
The overall formula ends up being:
Area = 2(LW) + 2(LH) + 2(WH)
Question
James and shekar were given an apple pie each. James ate 2/3 of the pie and shekar ate 3/4. What portion of the pie did they eat together?
a. More than one pie
b. Less than one pie
c. Three sixth of pie
d. The relationship cannot be determined from the above information given.
Answer:
a. More than one pie
Step-by-step explanation:
2/3 + 3/4
8/12 + 9/12 = 17/12
17/12 = 1 5/12
In the trapezoid, what is the measure of 1?
85°
115°
90°
Answer:
115°
Step-by-step explanation:
all angles of a trapezoid add up to 360° and corresponding pairs of base angles add up to 180°. this means that 65° and angle 1 would have to add up to 180°
180 - 65 = 115°
Answer:
85°
Step-by-step explanation:
Since it is a trapezoid one pair of opposite sides will be parallel.
As, AB||CD,
95°+ m<1 = 180°( co- interior angles)
m<1= 180°- 95°
m<1= 85°Find the perimeter of the quadrilateral.
If x = 2, the perimeter is
inches.
Answer:
129 inches
Step-by-step explanation:
If x=2, just substitute in the x values for each side. Your lengths are 31, 32, 22, and 44.
4(2)^2+8(2)= 16+16=32
3(2)^2-5(2)+20=12-10+20=22
7(2)+30= 14+30=44
You are given an additional side of 31.
Add the values up together.
31+32+22+44=129
A baker uses the expression 3.25c+5.75p to calculate his profit when he sells c cakes and p pies.
What is the baker’s profit, in dollars, when he sells 10 cakes and 15 pies?
Answer:
118.75
Step-by-step explanation:
I used a calculator
If f(x) = 3[ x-2], what is f(5.9)
Answer:
f(x)=3[x-2]
So, f(5.9) = ?
f(5.9) = 3(5.9 - 2)
=3(3.9)
=11.7 = 12
so, the answer is 12.
Step-by-step explanation:
let me know if you need any other help:))
Answer:
9
Step-by-step explanation:
Edge 2020
THE ANSWER IS 9
~theLocoCoco