Answer:
Check the image as well as the explanation.Step-by-step explanation:
In order to graph [tex]y\geq 2[/tex], we first need to graph y = 2.
y = 2 is a straight line which will be parallel to the x-axis.
We need to graph [tex]y \geq 2[/tex].
3, 4, 5......> 2. That is, all these values satisfies [tex]y \geq 2[/tex].
Hence, the will be the area towards the points y = 3 / 4 / 5 / ......
Divide 7.956 . 10-6 by 2.55 - 10-3
Answer: 3.12 x 10^-3
Step-by-step explanation:
Solve for 6x+4(3)=8(x+4)-2
Answer: x = -9
Step-by-step explanation: 6x + 4(3) = 8( x + 4) -2
0pen brackets and collect like terms,
6x + 12 = 8x + 32 -2
collect the like term
6x + 12 = 8x + 32 -2
6x -8x = 32 -2 - 12
-2x = 18, divide through by -2
Therefore x = -9
If p(x) = x2 - 1 and q(x) = 5(x-1), which expression is equivalent to (p-q)(x)?
Answer:
x² - 5x + 4
Step-by-step explanation:
Note that (p - q)(x) = p(x) - q(x)
p(x) - q(x)
= x² - 1 - 5(x - 1) ← distribute
= x² - 1 - 5x + 5 ← collect like terms
= x² - 5x + 4
Darcy harvest 8 3/4 acres of corn every 5/6 of an hour. How many acres per hour?
Answer:
The answer is [tex]10\frac{1}{2}\ per\ hour.[/tex]
Step-by-step explanation:
Given:
Darcy harvest 8 3/4 acres of corn every 5/6 of an hour.
Now, to find the acres per hour it takes to harvest.
Darcy harvest = [tex]8\frac{3}{4}=\frac{35}{4}\ acres.[/tex]
The time he took to harvest = [tex]\frac{5}{6}\ hour.[/tex]
So, to get the acres per hour we put formula:
[tex]Distance = \frac{35}{4}\ acres.[/tex]
[tex]Time=\frac{5}{6}\ hour.[/tex]
[tex]Speed=\frac{distance}{time}[/tex]
[tex]Speed=\frac{\frac{35}{4}}{\frac{5}{6}}[/tex]
[tex]Speed=\frac{35}{4}\times \frac{6}{5}[/tex]
[tex]Speed=\frac{210}{20}[/tex]
[tex]Speed=\frac{21}{2}[/tex]
[tex]Speed=10\frac{1}{2}\ per\ hour.[/tex]
Therefore, the answer is [tex]10\frac{1}{2}\ per\ hour.[/tex]
Mike has a recipe that feeds one person that calls for 3/8 teaspoon of salt. How much salt is needed to make the recipe if he needs to cook the recipe for 8 people? a. 3/64 teaspoon c. 24/64 teaspoon b. 1 3/8 teaspoons d. 3 teaspoons
Answer:
3 teaspoons of salt is needed to cook the recipe for 8 people.
The correct option is d. 3 teaspoons.
Step-by-step explanation:
Given:
Mike has a recipe that feeds one person that calls for 3/8 teaspoon of salt.
Now, to find the quantity of salt is needed to cook the recipe for 8 people.
As, given the unit rate is:
[tex]\frac{3}{8}[/tex] teaspoon salt per person.
So, to get the salt needed to cook for 8 people we multiply 8 by [tex]\frac{3}{8}[/tex] :
[tex]8\times \frac{3}{8}[/tex]
[tex]=\frac{24}{8}[/tex]
[tex]=3\ teaspoons.[/tex]
Therefore, 3 teaspoons of salt is needed to cook the recipe for 8 people.
The correct option is d. 3 teaspoons.
If f(x)=47x-55, then f(f^-1(x))=? Please help!!
Explanation:
For reasons unknown, Brainly gets bent by the use of "f(x)". So, an appropriate answer cannot be posted as text. I have posted it as attached pictures.
The expression f(f^-1(x)) represents the composition of a function and its inverse, which always returns the original input x.
Explanation:The expression f(f^-1(x)) involves the composition of a function and its inverse. A function composed with its inverse will always yield the original input, this property is fundamental in the concept of inverse functions. So f(f^-1(x)) will equal x in all and every case.
The reason why this is the case can be visualized by the definition of an inverse function. Given a function f(x), the inverse function f^-1(x), by definition, undoes the operation of f(x). This means that, if we apply f(x) and then apply f^-1(x), we will come back to our starting point.
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Mr.quick bought a new computer system.Regular price was 1580,but he got a 15% discount how much did he pay
Answer:
$1343
Step-by-step explanation:
After subtracting 15% from 100% of the original price, the price Mr. Quick paid is 85% of the original price.
0.85 × 1580 = 1343
Mr. Quick paid 1343 for his computer.
Solve the 2 step equation 3x+3=15
Subtract the entire equation by 3: 3x = 12
Lastly, divide by 3 to get x alone: x = 4
Answer: 4
Step-by-step explanation:
3x+3=15
-3 -3
3x 12
3 3
x= 4
Subtract (6x-2)-(-x+5)
Answer:
7x-7
Step-by-step explanation:
6x-(-x) double negative --> add
7x
-2-5= -7
Answer:
7x-7
Step-by-step explanation:
Let's simplify step-by-step.
6x−2−(−x+5)
Distribute the Negative Sign:
=6x−2+−1(−x+5)
=6x+−2+−1(−x)+(−1)(5)
=6x+−2+x+−5
Combine Like Terms:
=6x+−2+x+−5
=(6x+x)+(−2+−5)
=7x+−7
What fraction of an hour is 50 minutes
Answer: 5/6
Step-by-step explanation:
All we need do is to try to change 50 minutes to hour.
Remember that 60 minutes make 1 hour , so we need to find 50 minutes out of 1 hour , that is 50 minutes out of 60 minutes. Which is 50/60. Therefore:
50 minutes is 50/60 fraction of an hour
50/ 60 is the same as 5/6 in reduced form
Answer:
Step-by-step explanation:
1hour is 60minutes
= 50/60
= 5/6
Find the equation of the line that passes through the point (-1, 2) and that has a
slope of 4.
Oy=2x-1
Oy=-1*+6
Oy= 4x+6
Oy=12-1
Answer:
y = 4x + 6
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 4, thus
y = 4x + c ← is the partial equation
To find c substitute (- 1, 2) into the partial equation
2 = - 4 + c ⇒ c = 2 + 4 = 6
y = 4x + 6 ← equation of line
Need help ASAP please and thank you
Answer:
Step-by-step explanation:
x
Use a table of values to graph the equation.
x
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y
0
z
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y
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y
234+(+564-543)cevabı kaçtır
Answer:
255
Step-by-step explanation:
234+(564-543)
234+(21)
234+21
255
the rent is 7.50
write an algebra expression to represent the cost to rent a luxury car for x days
Answer:
Step-by-step explanation:
Rent cost 7.50
For x days the rent to pay = 7.50×n
= 7.50n
the area of a triangle
h=8cm
b=14cm
Answer:
56cm^2
Step-by-step explanation:
The area of triangle is found by multiplying height to the base and that divided by two
(h × b)÷2 ➡ (8×14)÷2 = 56
Do these rates form a proportion?
21 miles in 6hours and 14.3 miles in 3 hours
Answer:
These rates DO NOT form a proportion.
Step-by-step explanation:
Two quantities P and Q are said to be in proportion is and only if:
[tex]\frac{P}{Q} = k[/tex] for all values of P and Q.
here, k = Proportionality Constant.
Case 1: when P = 21 miles , Q = 6 hours
[tex]\frac{P}{Q} = \frac{21}{6} = 3.5[/tex]
⇒ k 1 = 3.5
Case 2: when P = 14.3 miles , Q = 3 hours
[tex]\frac{P}{Q} = \frac{14.3}{3} = 4.76[/tex]
⇒ k 2 = 4.76
As we can see in both the cases, k 1 ≠ k 2
Hence, P is NOT PROPORTIONAL to Q.
So, these rates DO NOT form a proportion.
what is the missing number 12×1= 12+W
The value of W is 0.
ExpressionIn mathematics, an expression is defined as a set of numbers, variables, and mathematical operations that are formed according to rules which is dependent on the context.
for example, a+23 = 105, a²+b²+10a =100, etc.
Given to us,12×1= 12+W
To findW = ?
solving the expression further,[tex]12\times 1= 12+W\\12 = 12+W\\12-12 = W\\W =0[/tex]
Hence, the value of W is 0.
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A stop sign that is 7 feet tall casts a shadow that is 8 feet long. Find the length of the shadow casted by a nearby 63-foot tall building.
Answer:
72 feet is the answer. The shadow of the 63 ft tower.
To find the shadow length of a 63-foot building given a 7-foot stop sign's 8-foot shadow, a proportion is used, resulting in a shadow length of 72 feet.
A student asked how to find the length of the shadow cast by a 63-foot tall building given that a 7-foot tall stop sign casts an 8-foot long shadow. This problem can be solved using simple proportions since the ratio of the height of an object to the length of its shadow is constant when the sun's angle is constant. The proportion is as follows: height of stop sign / length of stop sign's shadow = height of building / length of building's shadow. Plugging in the numbers: 7 / 8 = 63 / x, where x is the length of the building's shadow. Solving for x, we find that x = 8 * 63 / 7 = 72. Therefore, the length of the shadow cast by the 63-foot tall building is 72 feet.
Megan buys all 40 pounds of the farmers tomatoes. She then buys the remaining vegetables according to the ideal ratios shown above. How many pounds of onions and broccoli does Megan buy from the farmer?
Answer:
40 pounds
Step-by-step explanation:
I see no ratios shown above so I guessed
How do I find the area
Answer:
73.12 yd²
Step-by-step explanation:
Find the triangle first
A=½bh
a=½×12×8
a=6×8
a=48->triangle
semicircle=
a=½×pi×r²
a=½×3.14×4²
a=½×3.14×16
a=8×3.14
a=25.12
add these two
48+25.12=73.12 yd²
What is the volume of this square pyramid?
384 cm³
288 cm³
192 cm³
96 cm³
V = Abxh/3 = (12cmx12cm)x8cm/3 = 144cm²x8cm/3 = 384 cm³
Answer:
384 cm³
Step-by-step explanation:
Volume = a^2(h/3)
a = base edge = 12 cm
h = height of pyramid = 8 cm
Volume = 12^2*(8/3)
Volume = 144*(8/3)
Volume = 48*8
Volume = 384 cm³
2 3/4+3 5/8 simplified
[tex]2\frac{3}{4}+3 \frac{5}{8}=6\frac{3}{8}[/tex]
Solution:
Given expression is [tex]2\frac{3}{4}+3 \frac{5}{8}[/tex].
To simplify the expression [tex]2\frac{3}{4}+3 \frac{5}{8}.[/tex]
Let us first convert the mixed fraction into improper fraction.
[tex]2\frac{3}{4}+3 \frac{5}{8}=\frac{(2\times 4) + 3}{4}+ \frac{(3 \times 8)+5}{8}[/tex]
[tex]=\frac{8+ 3}{4}+ \frac{24+5}{8}[/tex]
[tex]=\frac{11}{4}+ \frac{29}{8}[/tex]
Take LCM for the denominators (LCM of 4, 8 = 8) and make the same.
[tex]=\frac{11\times2}{4\times 2}+ \frac{29\times1}{8\times1}[/tex]
[tex]=\frac{22}{8}+ \frac{29}{8}[/tex]
[tex]=\frac{51}{8}[/tex]
Now, divide 51 by 8 and again write it in the mixed fraction.
[tex]=6\frac{3}{8}[/tex]
[tex]2\frac{3}{4}+3 \frac{5}{8}=6\frac{3}{8}[/tex]
Hence, the simplified answer is [tex]6\frac{3}{8}[/tex].
An index has a length of 7 cm and width of 4 cm. What it’s perimeter?
Answer:
22
Step-by-step explanation:
7+7+4+4=22
PLEASE ANSWER!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
D
Step-by-step explanation:
Given the equation y = 3x - 9
Check each of the given equations
A
y = 3(x - 9) ← distribute
= 3x - 27 ≠ 3x - 9 ← False
B
y = [tex]\frac{1}{3}[/tex](x - 3) ← distribute
= [tex]\frac{1}{3}[/tex] x - 1 ≠ 3x - 9 ← False
C
y = [tex]\frac{1}{3}[/tex](x - 27) ← distribute
= [tex]\frac{1}{3}[/tex] x - 9 ≠ 3x - 9 ← False
D
y = 3(x - 3) ← distribute
= 3x - 9 ← True
Jim wants to put a wallpaper border around a rectangular room.The room measures 14 feet by 10 feet. If the wallpaper border comes in stripes that are 20 feet long, how many strips will Jim need?
Answer: He needs 3 stripes.
Final answer:
To cover the perimeter of a 14 feet by 10 feet room, Jim will need 3 strips of wallpaper border as the total perimeter is 48 feet and each wallpaper strip is 20 feet long.
Explanation:
To determine how many strips of wallpaper border Jim will need for his rectangular room, we need to calculate the total perimeter of the room. The formula for the perimeter of a rectangle is:
Perimeter = 2 × (Length + Width)
For Jim's room:
Perimeter = 2 × (14 feet + 10 feet)
Perimeter = 2 × 24 feet
Perimeter = 48 feet
Now, we know each strip of wallpaper is 20 feet long, so we divide the total perimeter by the length of one strip:
Number of strips needed = Total Perimeter ÷ Length of one strip
Number of strips needed = 48 feet ÷ 20 feet
Number of strips needed = 2.4
Since Jim cannot purchase a fraction of a strip, he will need to buy 3 strips of wallpaper border to cover the entire perimeter of his room.
Note: It's assumed that there's no significant wastage when the wallpaper strips are applied, and the strips are used efficiently.
Charlie wants to split his bonus of 4,206 so that he will be able to enjoy it throughout the year.how much money should he permit himself to spend the same amount each month
the answer is 350.50, the 4th answer
Hardy is packing his book collection into a box. Each book measures 4in by 6in by 1 inch. The box he uses measures 24in by 24in by 8 inches.
1. If Hardy fills the box completely, what is the greatest number of books that fit into the box?
2. If Hardy fills the box completely with the least number of layers, there will be (blank) books on the bottom layer.
3. To fill the box completely, Hardy places 8 layers of books in the box. There are (blank) books in each layer.
Thank you so much for help! Just a mom who hates volume trying to help her kid with volume.
Answer:
1. 192 books.
2. 96 books.
3. 24 books.
Step-by-step explanation:
1. Let's find the volume of each book and the volume of the box, this way:
Volume of a book = 4 * 6 * 1 = 24 inches ³
Volume of the box = 24 * 24 * 8 = 4,608 inches ³
2. If Hardy fills the box completely, what is the greatest number of books that fit into the box?
Greatest number of books = Volume of the box/Volume of a book
Greatest number of books = 4,608/24
Greatest number of books = 192
3. If Hardy fills the box completely with the least number of layers, there will be (blank) books on the bottom layer.
The height of the box is 8 inches, so it can only can hold 2 or 8 layers of books, since the books are 4 * 6 * 1 inches.
Greatest number of layers = Height of the box/Width of a book
Greatest number of layers = 8/1 = 8
Minimum number of layers = Height of the box/Height of a book
Minimum number of layers = 8/4 = 2
Upon saying that, we have:
Number of books per layer = Greatest number of books/Minimum number of layers
Number of books per layer = 192/2 = 96
4. To fill the box completely, Hardy places 8 layers of books in the box. There are (blank) books in each layer.
Number of books per layer = Greatest number of books/Number of layers
Number of books per layer = 192/8
Number of books per layer = 24
Triangle WXY has the interior and exterior angles shown below.
Triangle X W Y. Angle W is (2 x minus 13) degrees and angle Y is x degrees. The exterior angle to angle X is 122 degrees.
What is Measure of angle W?
45 degrees
58 degrees
68 degrees
77 degrees
Answer:
The correct option is last one 77 degrees.
Therefore the measure angle W is 77 degrees.
Step-by-step explanation:
Given:
Exterior angle = 122°
∠W = (2x-13)°
∠Y= x°
To Find:
∠W = (2x-13)° = ?
Solution:
Exterior Angle Property:
An exterior angle of a triangle is equal to the sum of the opposite interior angles.
Angle W and Angle Y are the interior angles of Exterior angle 122°.
∴ [tex]Exterior\ angle=m\angle W+m\angle Y[/tex]
Substituting the values we get
[tex]122=2x-13+x\\3x=135\\\\x=\dfrac{135}{3}=45\\\\x=45[/tex]
Now Substitute 'x' in angle W we get
[tex]m\angle W=2\times 45 -13=77\°[/tex]
Therefore the measure angle W is 77 degrees.
Answer:
77 is the answer
Step-by-step explanation:
Write an equation for the word sentence. The product of the number of songs and $0.99
is $7.92.
Answer:
N(number of songs) times 0.99 equals to 7.92. N×0.99=7.92
n= number of songs
product=*
n*0.99=7.92
if you need the answer it would be 6.93
Andre and Elena are reading the same book over the summer.. Andre says he has read 1/5 of the book. Elena says she has read 20 more pages than Andre. If Elena is on page 55, how many pages are in the book?
There are 175 pages in the book.
Step-by-step explanation:
Given,
Pages read by Elena = 55 pages
Let,
x be the number of pages of book.
Pages read by Andre = [tex]\frac{1}{5}\ of\ total\ pages = \frac{1}{5}x[/tex]
As Elena has read 20 more pages than Andre, therefore,
[tex]\frac{1}{5}x+20=55\\\\\frac{1}{5}x=55-20\\\\\frac{1}{5}x=35[/tex]
Multiplying both sides by 5
[tex]5*\frac{1}{5}x=35*5\\\\x=175[/tex]
There are 175 pages in the book.
Keywords: fraction, variable
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