Answer:
Look at the attachment
The equation is an illustration of a linear function.
The equation for the number of pages left in the book is [tex]b =p- rd[/tex]
The total number of pages is:
[tex]Total = p[/tex]
The daily rate is:
[tex]Rate = r[/tex]
So, the number of pages read in d days is:
[tex]Pages = Rate \times Days[/tex]
This gives
[tex]Pages = r \times d[/tex]
Multiply
[tex]Pages = rd[/tex]
The number of pages left (b) is then calculated as:
[tex]b =Total - Pages[/tex]
So, we have:
[tex]b =p- rd[/tex]
Hence, the equation for the number of pages left in the book is [tex]b =p- rd[/tex]
Read more about linear equations at:
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8.) The distance from Caleb's house to his school is 15 miles. What
is the distance in feet?
0.) 1760 feet
b.) 2640 feet
C.) 5280 feet
d.) 7920 feet
Answer:
I think the answer would be 79200 feet as 1 miles = 5280 feet
traductor de español
¡Hola! La siguiente descripción dice que el hogar de Caleb para su escuela es de 15 millas. La pregunta pregunta cuántos pies hay en 15 millas
Respuesta: 79.200.
Razonamiento: El razonamiento para esto es que 1 milla es 5280 pies. Cuando descubras que puedes multiplicar esto por 15 obtendrás 79200
Prueba: 5280
x 15
___________
79200
__________________________________
English Translator
Hello! the following description says that Caleb's house to his school is 15 miles. The question asks how many feet are in 15 miles
Answer: 79200
Reasoning: The reasoning to this is that 1 mile is 5280 feet. When you find out that you can multiply this by 15 you would get 79200
Proof: 5280
x 15
___________
79200
The sides of a cube are numbered 4, 5, 6, 7, 8, and 9. What is the probability of rolling a 6?
Answer:
1/6
Step-by-step explanation:
out of 6 numbers in total there is only one 6 therefore there is only 1/6 chances
[tex]\frac{1}{6}[/tex]
Probability is a discipline of mathematics concerned with numerical explanations of the likelihood of an event occurring or the truth of a claim. The probability of an event is a number between [tex]0[/tex] and [tex]1[/tex]
Sides of a cube are numbered [tex]4,5,6,7,8,9[/tex]
Probability [tex]=[/tex] Number of possible outcomes [tex]\div[/tex] Total number of outcomes
Number of possible outcomes [tex]=1[/tex]
Total number of outcomes [tex]=6[/tex]
Probability of rolling a [tex]6=\frac{1}{6}[/tex]
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Find f(2) and f(a + h) when f(x) = 3x^2 + 2x + 4
Answer:
[tex]f(2)=20\\f(a+h)=3a^2+6ah+3h^2+2a+2h+4[/tex]
Step-by-step explanation:
[tex]f(x)=3x^2 + 2x + 4[/tex]
[tex]f(2)=3(2)^2 + 2(2) + 4\\f(2)=3(4)+ 2(2) + 4\\f(2)=12+ 4+ 4\\f(2)=20[/tex]
[tex]f(a+h)=3(a+h)^2 + 2(a+h) + 4\\f(a+h)=3(a+h)(a+h) + 2(a+h) + 4\\f(a+h)=3a^2+3ah+3ah+3h^2+2a+2h+4\\f(a+h)=3a^2+6ah+3h^2+2a+2h+4[/tex]
Answer:
f(2) = 20
f(a+h) = 3a²+6ah+3h²+2a+2h+4
Step-by-step explanation:
f(x) = [tex]3x^2+2x+4[/tex]
A) Putting x =2
=> f(2) = 3(2)²+2(2)+4
=> f(2) = 12+4+4
=> f(2) = 20
B) Putting x = a+h
=> f(a+h) = 3(a+h)²+2(a+h)+4
=> f(a+h) = 3a²+6ah+3h²+2a+2h+4
what is the degree measure of an angle that measures 4.5 radians
Answer:
257.8°
Step-by-step explanation:
rad × 180/π = °
4.5*180=810
810/π=257.8
solve for x and y
help please!!
need step by step explanation.
will give the brainliest!!
Answer:
x=4, y=10
Step-by-step explanation:
(x+2)/3= (y-2)/4= (y-x)/3
x+2= y-x ⇒ y= 2x+2(x+2)/3= (2x+2-2)/4 ⇒ (x+2)/3= x/2 ⇒ 2x+4= 3x ⇒ x=4y=2*4+2= 10Answer:
The value of x is 2 and y is 10.
Step-by-step explanation:
First, you have to do cross multiplications of any 2 fractions :
1st equation,
[tex] \frac{x + 2}{3} = \frac{y - 2}{4} [/tex]
[tex]4(x - 3) = 3(y - 2)[/tex]
[tex]4x + 8 = 3y - 6[/tex]
2nd equation,
[tex] \frac{y - 2}{4} = \frac{y - x}{3} [/tex]
[tex]4(y - x) = 3(y - 2)[/tex]
[tex]4y - 4x = 3y - 6[/tex]
Next, you have to solve the simultaneous equation by elimination :
[tex]4x - 3y = - 14 - - - (1)[/tex]
[tex] - 4x + y = - 6 - - - (2)[/tex]
[tex](1) + (2)[/tex]
[tex]4x - 3y + ( - 4x) + y = - 14 + ( - 6)[/tex]
[tex] - 2y = - 20[/tex]
[tex]y = 10[/tex]
[tex]substitute \: y = 10 \: into \: (1)[/tex]
[tex]4x - 3(10) = - 14[/tex]
[tex]4x - 30 = - 14[/tex]
[tex]4x = - 14 + 30[/tex]
[tex]4x = 16[/tex]
[tex]x = 4[/tex]
Given: Line A B intersects Line D E at point C.
Prove: AngleDCB Is-congruent-toAngleECA
Line D E intersects line B A at point C.
A 2-column table with 6 rows. Column 1 is labeled statements with the entries line A B intersects line D E at point C, angle D C B and angle B C E are a linear pair, angle D C B is supplementary to angle B C E, angle B C E and angle E C A are a linear pair, angle B C E is supplementary to angle E C A, angle D C B is-congruent-to angle E C A. Column 2 is labeled reasons with the entries given, definition of linear pair, linear pair post, definition of linear pair, question mark, congruent to supplementary theorem.
What is the missing reason in step 5?
linear pair postulate
given
definition of complementary angles
congruent complements theorem
Answer:
linear pair postulate
Step-by-step explanation:
The linear pair postulate is the missing step.
What's the meaning of a linear pair of lines?Linear pair of angles are formed when two lines intersect each other at a single point. The angles are said to be linear if they are adjacent to each other after the intersection of the two lines.
What is a Postulate?Postulate statement received without evidence. Axiom is any other name for postulate. for instance, if you understand that Pam is 5 feet tall and all her siblings are taller than her, don't trust her if she says that all her siblings are at the least 5 toes tall.
Learn more about the linear pair postulate here: brainly.com/question/19246011
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The table represents a linear function.
What is the slope of the function?
0-6
O -4
0 4
O 6
Answer:
- 6
Step-by-step explanation:
[tex]slope = \frac{8 - 2}{ - 2 - ( - 1)} = \frac{6}{ - 2 + 1} = \frac{6}{ - 1} = - 6[/tex]
What is the equation of the graphed line written in standard form?
A. x=-3
B. y=-3
C. x+y=-3
D. x-y=-3
I know the pictures black It's just showing a vertical line going through -3 on the x-axis (The blue line)
let g(x) = 2x and h(x) = x^2 + 4. Find the value. (hog)(-2)
Answer:
Step-by-step explanation:
(h o g) (-5) means the composition of the two functions, or h [ (g(-5) ].
This is, you first calculate g(-5) and then h [ g (-5) ].
So, g ( -5) = 2 * ( - 5) = - 10
And h (-10) = (-10)^2 + 4 = 100 + 4 = 104.
Does anyone know how to find the area ?
Answer:
To find the area of a shape, multiply the sides. Hope this helps! ;)
Answer:
YES!
Step-by-step explanation:
The simplest (and most commonly used) area calculations are for squares and rectangles. To find the area of a rectangle, multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area.
IS MY ANSWER CORRECT?!
-- I'm thinking it's 36 If its wrong. --
Answer:
you have the right answer
Step-by-step explanation:
you can check by multiplying 27 and 12. then multiply 20.25 with 16 and both times you will get 324
Answer:
I am sure you're answer is correct!
Step-by-step explanation:
:)
y = 2x + 4
y = -x + 1
What is the solution to the system of equations?
A. (-1, 2)
B. (-1, 1)
C. (-2, 0)
D. (0, 1)
Ari's teacher says he may have his report grade based on either the mean or the median of his last six test scores
88%, 73%, 97%, 76%, 90%, 80%
Which measure of center would best represent Ari's grade?
Answer:
The mean
Step-by-step explanation:
Answer:
the answer is option a) the mean
Step-by-step explanation:
Help I don’t understand the concept
Answer:
C. No, because one x-value corresponds to two different y-values
Step-by-step explanation:
An x-value cannot have two y-values. Hope this helps!
Answer:
c ) No because one x-value corresponds to two different y-values
Step-by-step explanation:
Every X needs to have one y value
What is the most efficient way to solve this equation?
18c = 108
Divide both sides by 18
Multiply both sides by 108.
Multiply the left side by 18.
Divide both sides by c.
Please don’t guess :(
Answer:
Divide both sides by 18
Step-by-step explanation:
This is the most efficient way to solve this equation because you can find the variable (c) in one step.
A large cheese pizza costs 18 dollars.. Each topping you add on costs $1.50
How much would it cost to get a large cheese pizza with c toppings added?
Write your answer as an expression.
Answer:
1.50c +18
Step-by-step explanation:
The constant price is 18 dollars, which never changes and for every topping you get, it costs $ 1.50. Since we don't know how many extra toppings are added we write 1.50c. This shows that the price will be determined by the number of extra toppings added. If you got no toppings, sub in 0 for c to get $ 18 .
Answer:
1.50c+18
Step-by-step explanation:
The base price of the large cheese pizza is $18. Since we don't know how many extra toppings are added we write 1.50c. This shows that the price will be determined by the number of extra toppings added. Since the question asked for an expression and not an equation, there is no equals sign.
Which of the following is the measure of an acute angle?
A. 126
B. 86°
C. 90°
Answer:
b
Step-by-step explanation:
an acute angle is an angle that is smaller than 90 degrees.
if the angle is exactly 90 degrees, then it is a right angle.
anything larger than 90 degrees is considered to be an obtuse angle.
Hope this helps for other questions like this as well!
Angle 86° is less than 90°. Then the angle of 86° will be an acute angle. Then the correct option is B.
What is an angle?The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.
The types of angles are as follows:
If the measure of the angle is less than 90°, then the angle is an acute angle.
If the measure of the angle is equal to 90°, then the angle is a right angle.
If the measure of the angle is greater than 90°, then the angle is an obtuse angle.
Angle 86° is less than 90°. Then the angle of 86° will be an acute angle. Then the correct option is B.
More about the angled link is given below.
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Only one QUESTION I NEED HELP SO BAD I WILL MOST DEFINITELY GIVE BRAINLIEST AND 30 POINTS PLEASE IT'S DUE TODAY
Answer:
We cannot have a single point of solution
Step-by-step explanation:
When the boundary lines are parallel, we can have no solution, or infinite solutions. We cannot have a single point of solution
Answer:
I believe there is no single solution
There are 8 students in our Math class left to give their presentations. Today
we will have time for 5 presentations. How many different ways can the
teacher choose the presenters?
OA) 56
OB) 112
OC) 168
OD) 336
Answer:
Option A. 56
Step-by-step explanation:
The question talks about chosing 5 presenters out of 8 presenter.
This can be achieved b using the following formula:
nCr = n! /r! (n–r)!
n = 8
r = 5
8C5 = 8! / 5! (8 – 5)!
8C5 = 8! / 5! 3!
8C5 = (8 x 7 x 6) / (3 x 2 x 1)
8C5 = 56
Therefore, there are 56 ways in which the teacher can chose the presenters.
Answer: Choice A
Step-by-step explanation:
The sum of two consecutive integers is -15. If
1 is added to the smaller integer and 2 is
subtracted from the larger integer, what is the
product of the two resulting integers?
PLEASE HELP AND EXPLAIN BECAUSE I DONT GET IT
15 POINTS
Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The product of the two resulting integers is 80.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
Let the unknown integer be represented by x. Given that the sum of two consecutive integers is -15. Therefore, we can write,
x + (x+1) = -15
2x + 1 = -15
2x = -16
x = -8
Thus, the smaller integer is -9 and the larger integer is -8.
Now, If 1 is added to the smaller integer and 2 is subtracted from the larger integer.
Smaller Interger = -9 + 1 = -8
Larger Integer = -8 - 2 = -10
Further, the product of the two resulting integers is,
Product = -8 × -10
= 80
Hence, the product of the two resulting integers is 80.
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I don’t understand this question & I need to turn this in today.
Answer:
see below
Step-by-step explanation:
The blue graphs had 2 real solutions since it crosses the x axis twice
The yellow graph has no real solutions since it does no cross the x axis
The red graph has one solutions since it touches the x axis
Use the set of ordered pairs to determine whether the relation is a function. {(19,15),(−25,0),(−16,11),(−2,12),(−16,14),(−13,20)}.
Answer:
It is non function
Step-by-step explanation:
because the x values repeated, the input ( x values) produce more than one output.
This is not a function because for a value of x the value of the y comes out to be two.
What is a function?The function is an expression, rule, or law that defines the relationship between one variable to another variable. Functions are ubiquitous in mathematics and are essential for formulating physical relationships.
The set of ordered pairs are as given below.
{(19,15),(−25,0),(−16,11),(−2,12),(−16,14),(−13,20)}
The relation to be a function for each value of the x the value of the y should be unique.
This is not a function because for a value of x the value of the y comes out to be two.
More about the function link is given below.
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Which input was substituted into the function f(x) = x to
create the given graph?
Of(x + 2.5)
Of(x - 2.5)
Answer: f(x-2.5)
Step-by-step explanation:
The table below shows the weekly change in the price of one gram of gold for four weeks.
By how much did the price of one gram of gold change from the beginning of week 1 to the end of week 4?
Answer:
I mean it changed by .25
Step-by-step explanation:
Im not sure if youre asking for the median or the price difference?
Half of a number plus three
times the number.
Write it in expression or equation solve the equation
Answer:
Step-by-step explanation:
What is the area of the deck, not including the garden, in Plan A? (Type
the numeric answer only). *
Answer:
342 ft squared
Step-by-step explanation:
You know how to find the area of a rectangle: Multiply the dimensions together (length x width).
You can also see that the garden is inside the deck, and that it is also a rectangle. Therefore, you can find the area of the deck ONLY by subtracting the area of the small rectangle from the big one.
First, find the area of the big rectangle:
18 * 25 = 450 ft squared
Now, find the area of the small one:
9 * 12 = 108 ft squared
Finally, subtract the area of the small rectangle from the area of the big one:
450 - 108 = 342 ft squared
Hope this helps! Please comment on this answer if you have any questions :)
calculate 16% of £50
A Professor at a University sent his phone number in a disorderly manner to his students. The disordered phone number was 64001128454.
To know his real phone number, he gave the student the following conditions:
1. Eight (8) must come between two zeros (0's).
2.The first number after the first condition is met must not be an odd number and it must be greater than 5.
3. The seventh number must be 1.
4. The fifth and sixth numbers must be two numbers whose difference is 1 and the bigger number must come first.
5. The fifth and sixth numbers are greater than 2.
6. The ninth and tenth numbers are the same.
7. The eighth number is greater than the last number.
8. The phone number must be 11 digits.
What was the Professor's real phone number?
Answer:
I found 608054144112
If the number isn't found by the given condition, write a variable to advance. but it is comfortable to solve if you follow them one by one
A rectangular bathtub has a depth of 24 in., a width of 24 in., and a length of 60 in. If the tub is filled up to
3 inches below the top, how much water is in the tub?
Answer:
The amount of water is [tex]30,240in^3[/tex]Step-by-step explanation:
This problem bothers on the mensuration of solid shapes, a rectangular prism in the form of a bathtub.
Given data
depth of bathtub= 24 in
width of bathtub= 24 in
length of bathtub= 60 in
the volume of water in the bathtub is a function of the depth of water in relation with the dimension of the bathtub.
the depth of water is 3 in below the the top
hence the depth of water (24 in- 3 in)= 21 in
the expression for the volume of water is given as
[tex]volume= length* width*depth\\volume= 60*24*21=30,240in^3[/tex]
A town map has a scale of 2cm:0.5km what is the actual distance for a walk measured at 9cm on the map?
Answer: 2.25 km
Step-by-step explanation:
2 cm = 0.5 km
9 cm = (9 x 0.5)/2
= 2.25 km
Answer:
2.25 km
Step-by-step explanation:
Since 2 cm represents 0.5 km on the ground we cross multiply to find how much ground will be represented by 9 cm on the map
2cm=0.5km9cm=?
(9cm×0.5km)÷2cm4.5km(cm)÷2cm2.25 kmNOTE: since the cm are the same they will cancel each other out in the division stage