Answer:
false
Step-by-step explanation:
Tom ordered some books online and spent a total of $75. Each book cost $6 and he paid a total of $3 for shipping. How many books did he buy? (a) Write an equation that could be used to answer the question above. First, choose the appropriate form. Then, fill in the blanks with the numbers 75, 6, and 3. Let b represent the number of books. (b) Solve the equation in part (a) to find the number of books.
Answer:
a)
_b+_=_
6B+3=75
B)
He ordered 12 books
Step-by-step explanation:
so each book (b) costs $6. he payed $75 total including the $3 shipping price
That gets us:
6b+3=75
6b=72
b=12
Therefore, Tom ordered 12 books
Which is an equation of the line that passes through (2, –3) and (4, –7)?
3(-5x+3)=8x+9 how do i find x?
Answer:
No solution
Step-by-step explanation:
-15x+9=8x+9
-23x=0
No solution
Answer:
x=0
Explanation:
3(−5x+3)=8x+9
x=0
PLEASEE ANSWER!! WILL GIVE 40 POINTS AND BRAINLIEST
Jessica loves the smell of candles in her home. She bought a candle, and it burns down at the rate of 0.5 inches per hour. The original height
of the candle was 9 inches.
Part A: Write a list of 6 ordered pairs to show the height of the candle in inches (y) as a function of time in hours (x) from the first hour after it started burning
For example, the point (0.9) would represent a height of 9 inches after 0 hours. Explain how you obtained the ordered pairs. (5 points)
(0.9),(__),(__),(__),(__),(__),(__)
Part B: Is this relation a function? Yes or no? Justify your answer using the list of ordered pairs you created in Part A. (2 points)
Part C: If the rate at which the candle burned was 0.45 inches per hour instead of 0.5 inches per hour, would the relation be a function? Yes or
no? Explain your answer using input and output values.
Step-by-step explanation:
Original height is the initial value, burn down rate is 0.5 inches per hour
This would be represented by a function:
y = 9 - 0.5xPart AOrdered pairs:
(0, 9), (1, 8.5), (2, 8), (3, 7.5), (4, 7), (5, 6.5), (6, 6)Part BRate of burn down is stable at 0.5 inches, this is a functionPart CIf the rate at which the candle burned was 0.45 inches per hour instead of 0.5 inches per hour, the relation would still be a function. The output values would have same difference of 0.45 inches and the function would be:
y = 9 - 0.45xDetermine if the following triangle is a right triangle or not using the Pythagorean Theorem Converse. Triangle with side lengths of: 10 m, 8 m, and 14 m
False, these measures do not form a right triangle.
True, these measures do form a right triangle.
Answer:
False
Step-by-step explanation:
[tex]{a}^{2} + {b}^{2} = {c}^{2} \\ {10}^{2} + {8}^{2} = {14}^{2} \\ 100 + 64 = 196 \\ 164 < 196[/tex]
These measures do not form a right triangle, but an obtuse triangle.
Explain how the unit rate and slope of a proportional relationship are related to each other
The relationship between unit rate and slope can be found by forming the equation of a straight line.
How to find the proportional relation between two quantities?The two quantities are said to be proportional when the ratio of each of their values are equal.
It can be of two type direct or indirect.
For direct relation the ratio is greater than one for indirect it is less than one.
The example to explain the given case is as follows,
The price and number of pens are proportional to each other.
Suppose the cost of y pens be x.
And, the cost for each pen is m.
Then, the cost for each pen can also be found by the ratio as,
m = y/x
=> y = mx
Which represents a straight line having slope m.
Thus, the unit rate and slope are the equivalent things.
Hence, the unit rate and slope of a proportional relationship are related through the equation of a straight line.
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Distribute
5
(
−
9
x
2
−
2
x
)
.
5(−9x
2
−2x).
Answer:
11. Factoring and solving equations
- A. Factor-
1. Factor 3x2 + 6x if possible.
Look for monomial (single-term) factors first; 3 is a factor of both 3x2
and 6x and so is x . Factor them out to get
3x2 + 6x = 3(x2 + 2x1 = 3x(x+ 2) .
2. Factor x2 + x - 6 if possible.
Here we have no common monomial factors. To get the x2 term
we'll have the form (x +-)(x +-) . Since
(x+A)(x+B) = x2 + (A+B)x + AB ,
we need two numbers A and B whose sum is 1 and whose product is
-6 . Integer possibilities that will give a product of -6 are
-6 and 1, 6 and -1, -3 and 2, 3 and -2.
The only pair whose sum is 1 is (3 and -2) , so the factorization is
x2 + x - 6 = (x+3)(x-2) .
3. Factor 4x2 - 3x - 10 if possible.
Because of the 4x2 term the factored form wli be either
(4x+A)(x +B) or (2x+A)(2x+B) . Because of the -10 the integer possi-
bilities for the pair A, B are
10 and -1 , -10 and 1 , 5 and -2 . -5 and 2 , plus each of
these in reversed order.
Check the various possibilities by trial and error. It may help to write
out the expansions
(4x + A)(x+ B) = 4x2 + (4B+A)x + A8
1 trying to get -3 here
(2x+A)(2x+B) = 4x2 + (2B+ 2A)x + AB
Trial and error gives the factorization 4x2 - 3x - 10 - (4x+5)(x- 2) .
4. Difference of two squares. Since (A + B)(A - B) = - B~ , any
expression of the form A' - B' can be factored. Note that A and B
might be anything at all.
Examples: 9x2 - 16 = (3x1' - 4' = (3x +4)(3x - 4)
x2 - 29 = x2 - (my)* = (x+ JTy)(x- my)
For any of the above examples one could also use the
State true or false:
a. If the fifth class interval is 70-75, fourth class interval is 65-70, then the first
class interval is 50-55.
b. The height of a rectangular bar in a histogram shows the frequency.
c. A graphical representation showing the relationship between a whole and
its parts is a line graph.
PLSSS HELP ME PLSSS
14 POINTS!
Answer:
3/4
Step-by-step explanation:
Find the value of 2x + 10 when x = -4
Answer:
2
Step-by-step explanation:
So basically all you have to do is substitute x = -4 into the equation, so it would be:
[tex]2x + 10 --> 2(-4) +10[/tex]
[tex]=-8 + 10[/tex]
[tex]=2[/tex]
hope that makes sense!
Given the ordered pairs (3, -8) and (-1, -2), use the slope formula to find the slope.
Answer:
Step-by-step explanation:
Hello : let A(3,-8) B(-1,-2)
the slope is : (YB - YA)/(XB -XA)
(-2+8)/(-1-3) = 6/-4 =-3/2
The track coach is putting shoes into bins. if she puts 6 shoes into each of b bins for a total of 54 shoes, how many bins, b, does she have? Solve 6b = 54
For b
Answer:
9
Step-by-step explanation:
[tex]54 \div 6 = 9[/tex]
[tex]b = 9[/tex]
The coach will have 9 bins
Here is a cuboid.
H Н.
G
31.5 cm
E
F
с
36 cm
А
27 cm
B
Calculate the size of angle CAG.
Answer:
m(∠CAG) = 35°
Step-by-step explanation:
From the figure attached,
Apply Pythagoras theorem in ΔCAG,
Length of AC = [tex]\sqrt{(27)^2+(36)^2}[/tex]
= [tex]\sqrt{729+1296}[/tex]
= [tex]\sqrt{2025}[/tex]
= 45
Now find the tangent of the given angle CAG,
tan(∠CAG) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]
= [tex]\frac{CG}{AC}[/tex]
m(∠CAG) = [tex]\text{tan}^{-1}(\frac{31.5}{45} )[/tex]
= [tex]\text{tan}^{-1}(0.7)[/tex]
= 34.992°
≈ 35°
The school that Kathryn goes to is selling tickets to a spring musical. On the first day
of ticket sales the school sold 12 senior citizen tickets and 14 student tickets for a total
of $132. The school took in $108 on the second day by selling 12 senior citizen tickets
and 10 student tickets. What is the price each of one senior citizen ticket and one
student ticket?
Answer:
Senior citizen ticket = $4, student ticket = $6
Step-by-step explanation:
To do this, form a system of equations where x = the cost for a senior citizen ticket and y = the cost for a student ticket.
Since 12 senior citizen tickets and 14 students tickets cost $132, you get
12x + 14y = 132.
Since 12 senior citizen tickets and 10 students tickets cost $108, you get
12x + 10y = 108.
You can subtract those two equations, so
12x + 14y = 132
-(12x + 10y = 108)
and you get
4y = 24
divide both sides by 4
y = 6
substituting into the equation 12x + 10y = 108,
12x + 10(6) = 108
12x + 60 = 108
subtract 60 from both sides
12x = 48
divide both sides by 12
x = 4
A senior citizen ticket costs $4 and a student ticket costs $6.
Molly has enough paint to cover an area of 250 ft.² she wants to paint to walls the rectangle or wall is 8 feet high and 30 feet wide the square wall has a height of 9 feet does Molly have enough paint to cover the area of both walls?
Answer:
Step-by-step explanation:
Area of rectangle = length x width
Area of square = side x side
Given: Dimension of rectangular wall: 8 feet high and 30 feet wide
Area of rectangular wall = 8 feet x 30 feet = 240 ft²
Height of square wall = 9 feet
Area of square wall = 9 x 9 ft² = 81 ft²
Total area need to paint = 240 ft²+ 81 ft² = 321 ft² > 250 ft.²
i.e. Molly does not have enough p[aint to cover both walls.
The image of the point (-1, -1)(under a translation is (4, 4)( Find the coordinates of the image of the point (-6, 5) under the same translation.
The coordinates are (-1, 10).
What is translation?A translation in math moves a shape left or right and/or up or down. The translated shapes look exactly the same size as the original shape, and hence the shapes are congruent to each other. They just have been shifted in one or more directions. Since it is just moving of the shape from one place to other, there is no change in the shape.
Translation is one of the transformations in math. When a shape has been transformed, the original shape is called the preimage and the vertices are usually labeled using uppercase letters (Example: ABCD). The translated shape is called the image and the vertices are labeled using uppercase letters with a “prime” next to each (Example: A′B′C′D′, and is pronounced “A-prime, B-prime, C-prime, D-prime”).
Given:
the point is (-8, 3) whose image point is (-5, 2)
The difference between the coordinates of the image and the coordinates of the original is the same for both points.
X - (-6, 5) = (4, 4) -(-1, -1)
X = (4, 4) -(-1, -1) +(-6, 5) = (4+1-6, 4+1+5)
X = (-1, 10)
Hence, the point is (-1, 10)
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A BMX show has
416
people in attendance. If
312
attendees are under the age of
35
,
what is the ratio of attendees under the age of
35
to attendees
35
and older?
Answer:
The ratio is 3 : 1.
Step-by-step explanation:
Given that:
Number of attendees in the show = 416
Number of people under 35 = 312
Number of people 35 and older = 416 - 312 = 104
Ratio of attendees under 35 to attendees 35 and older
Attendees under 35 : Attendees 35 and older
312 : 104
3 : 1
Hence,
The ratio is 3 : 1.
help no comprehension
Answer:
x=17
Step-by-step explanation:
So the outside angle is basically is an addition of the two angles given to you. 60°+2x°=94°.
Write an expression for the total amount Carla has paid after a certain number of months
Answer:
$25.00+$36.00m
Step-by-step explanation:
A textbook store sold a combined total of 350 history and physics textbooks in a week. The number of physics textbooks sold was 86 less than
the number of history textbooks sold. How many textbooks of each type were sold?
please help, would appreciate it!
Answer:
100 because it is corresponding angels ...
Step-by-step explanation:
MARKING BRAINLIST!! A circular railroad crossing sign has a diameter of 40 inches. Which measurement is closest to the area of the sign in square inches?
A. 12.56 in
B. 62.8 in
C. 31.4 in.
D. 314 in.
Answer:
Step-by-step explanation:
Area of the circleis,
A=3.14 x r^2
d=40 in, r=20 in
A=20x20x3.14=400x3.14=1256 in^2
AREA OF CIRCLE !! PLEASE HELP !! WILL GIVE BRAINLIEST !!
Answer:
A circle doesnt have a area its 0 duhhh
Step-by-step explanation:
Find the exterior angle measure:
Answer:
59 degrees
Step-by-step explanation:
The total amount of degrees for a triangle must add up to 180 degrees.
74 + 47 = 121
180 - 121 = 59
Thus meaning the missing exterior angle measure is 59 degrees.
I hope this helped! :)
CAN YOU MARK ME BRAINLIEST PLEASE.
Hey there ...here is ur answer ..
Please mark me as brainliest if u find it helpful ..
Thank u
The product of 4 and a
number minus 10 equal -34
Answer:
-6
Step-by-step explanation:
4(-6) - 10=-34
Graphing a linear inequality in the plane: Standard form
Answer:
attached
Step-by-step explanation:
draw line pass (-12,0) and (0,3), solution is the shaded part
Briana buys a reel of thread for sewing. Th ere are 10 m of thread on the real. Her brother in grade 4 used 210 cm. How much is left on the reel in centimeters?
Answer:
790cm
Step-by-step explanation:
Briana buys a reel of thread for sewing. There are 10 m of thread on the real. Her brother in grade 4 used 210 cm. How much is left on the reel in centimeters?
1m = 100cm
10m = x
x = 10 × 100cm
x = 1000cm
The total number of thread on the reel = 1000cm
The amount of thread left on the reel is calculated as:
The total number of thread on the reel - The amount of thread on the reel that was used.
= 1000cm - 210cm
= 790cm
I WILL GIVE BRAINLIEST!!!
Which of the following correctly uses absolute value to show the distance between −70 and 13? (5 points)
−70 − 13| = |−83| = −83 units
|−70 − 13| = |−83| = 83 units
|−70 + 13| = |−57| = 57 units
|−70 + 13| = |−57| = −57 units
Answer:
|−70 − 15| = |−85| = 85 units - B
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
First of all, distance cannot be negative so you eliminate answers A and D immediately.
Now to find the distance between a negative number and a positive number, you either have to take the absolute value of the negative number (to turn it positive) and add it to the positive or take the absolute value of the positive number subtracted by the negative number.
Basically, you're doing this because it compensates for the distance between the negative number and 0.
The only answer choice that is consistent with these terms is B.
Write all integers between:
a. -17 and -12
b. -1 and -6
Answer:
look at explanation
Step-by-step explanation:
a) -13,-14,-15,-16
b) -2,-3,-4,-5
What is the slope of this linear equation: y=5x-10
Answer:
slope=5
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
