Answer:
first multiply length×width×height,of the carton
8×8×4=256
then multiply length×width×height for boxes
2×1×1=2
divide 256 by 2
256÷2=128
What is the equation of the line that passes through the given pair points in slope-intercept form?
a. (2, 5.1) and (−1, −0.5)
b. (−2, 3) and (3, −4)
a. The equation of the line is [tex]y = \frac{28}{15}x+\frac{41}{30}[/tex]
b. The equation of the line is [tex]y = \frac{-7}{5}x+\frac{1}{5}[/tex]
Explanation:The general equation of the line in slope-intercept form is:
y = mx + c
where m is the slope and c is the y-intercept
1. To get the slope:
[tex]m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
where (x₁ , y₁) and (x₂ , y₂) are two points that belong to the line
2. To get the y-intercept:
We pick any point (x , y) that belong to the line and use this point to substitute in the general equation:
y = mx + c
m is calculated from part 1 and (x , y) is a known point on the line. So, we solve for c which is the only unknown.
Now, for the required lines:
Part a:
The two given points are (2, 5.1) and (-1, -0.5)
representing (x₁ , y₁) and (x₂ , y₂)
i. Getting the slope:
[tex]m = \frac{-0.5 - 5.1}{-1 -2}=\frac{28}{15}[/tex]
ii. Getting the y-intercept:
I will use the point (-1, -0.5)
y = mx + c
[tex]-0.5 = \frac{28}{15}(-1)+c\\\\-0.5=\frac{-28}{15}+c\\ \\ c = \frac{41}{30}[/tex]
iii. Based on the above calculations, the equation of the line is:
[tex]y = \frac{28}{15}x+\frac{41}{30}[/tex]
Part b:
The two given points are (-2, 3) and (3, -4)
representing (x₁ , y₁) and (x₂ , y₂)
i. Getting the slope:
[tex]m = \frac{-4-3}{3--2}=\frac{-7}{5}[/tex]
ii. Getting the y-intercept:
I will use the point (3, -4)
y = mx + c
[tex]-4 = \frac{-7}{5}(3) + c\\ \\-4 = \frac{-21}{5}+c\\ \\c=\frac{1}{5}[/tex]
iii. Based on the above calculations, the equation of the line is:
[tex]y = \frac{-7}{5}x+\frac{1}{5}[/tex]
Hope this helps :)
Car A and car B are traveling opposite directions st the same speed. Car A drove for 17 minutes and car B drove for 32 minutes. Car B drove 12 miles more than car A. How fast were the cars driving?
Answer: 0.8mile/min
Step-by-step explanation:please see attachment for explanation
The radius of a basketball hoop is 9 inches. Which expression can be used to find the hoop's circumference in inches?
(A)π ⋅ 9^2
(B)9/π
(C)9 ⋅ π
(D)2 ⋅ 9 ⋅ π
The right answer is Option D.
Step-by-step explanation:
Given,
Radius of basketball hoop = 9 inches
As the basketball hoop is in circular shape.
Circumference of basketball hoop = 2πr
We will put given radius = 9
Circumference of basketball hoop = 2*π*9
Circumference of basketball hoop = 2 . 9 . π
Therefore,
Circumference of basketball hoop is 2*9*π.
The right answer is Option D.
Keywords: circle, circumference
Learn more about circumference at:
brainly.com/question/10364988brainly.com/question/10435816#LearnwithBrainly
Answer:
2*9*π
Step-by-step explanation:
leah would like to earn at least $160 per month. She works at a restaurant for $5 an hour and works at an ice cream shop for $8 an hour. Leah wants to work at least 7 hours at the restaurant, and at least 10 hours at the ice cream shop.
Answer:
Leah can make more than $160 in a month if he works 7 hours for $35 and 10 hours for $80 daily or weekly.
Step-by-step explanation:
Will give brainliest
Answer:
D
Step-by-step explanation:
95/100 is equal valent to 95℅.
What is the answer for 2x3/5+1/5
Answer:
Step-by-step explanation:
2x3/5+1/5
Going by BoDMAS
Multiplication comes before addition
2x3/5+1/5 = 6/5 + 1/5 = (6+1)/5
= 7/5 = 1 2/5
Final answer:
The expression 2x3/5+1/5 is solved by first multiplying 2 by 3/5 to get 6/5 or 1.2, and then adding this to 1/5 to get the final answer of 7/5 or 1.4.
Explanation:
To solve the expression 2x3/5+1/5, you first need to perform the multiplication before the addition, according to the order of operations (PEMDAS/BODMAS). So, you need to multiply 2 by 3/5:
2 x 3/5 = 6/5 or 1.2
Now add this result to 1/5:
6/5 + 1/5 = 7/5 or 1.4
Therefore, the answer is 7/5 or 1.4.
Classify each figure as a polyhedron or not a polyhedron.
Then name the figure.
person to get it right will get brainlliest
Answer:
Not a polyhedron and it's a sphere
Step-by-step explanation:
It's not a polyhedron because a polyhedron has to have faces more than 6
Marco scored 1,753 points
when playing his video game.
Jasmine only scored 877
points. How many more points
did Marco score than Jasmine?
Marco scored 876 more points than Jasmine.
Explanation:To find how many more points Marco scored than Jasmine, we subtract Jasmine's score from Marco's score.
Marco scored 1,753 points while Jasmine scored 877 points.
Thus, Marco scored 1,753 - 877 = 876 more points than Jasmine.
What is 4/5(1/4c-5)? By using distributive property and collecting like terms.
Answer:
The simplified expression is
[tex]\frac{4}{5}(\frac{1}{4}c-5)=\frac{c}{5}-4[/tex]
Step-by-step explanation:
Given expression is
[tex]\frac{4}{5}(\frac{1}{4}c-5)[/tex]
To simplify the given expression:
[tex]\frac{4}{5}(\frac{1}{4}c-5)[/tex]
[tex]\frac{4}{5}(\frac{1}{4}c-5)=(\frac{4}{5}\times \frac{1}{4}c)-(\frac{4}{5}\times 5)[/tex] ( here using the distributive property )
[tex]=(\frac{1}{5}c)-(4\times 1)[/tex] (simplify the factors )
[tex]=\frac{1}{5}c-4[/tex] or
[tex]=\frac{c}{5}-4[/tex]
Therefore the simplified expression is
[tex]\frac{4}{5}(\frac{1}{4}c-5)=\frac{c}{5}-4[/tex]
A sporting goods store regularly sell shoes for $17.49 their ad for a sale says *Save 25%* what is the sale price of the shoes
Answer:
The price of the shoes should be $13.12
A triangle has a base of 4 units and a height of 3 units. Mark draws the triangle again but doubles the height. How does the area of the triangle change?
A. The area increases by 3 square units.
B. The area increases by 6 square units.
C. The area increases by 12 square units.
D. The area does not change.
Answer:the correct answer is b
Step-by-step explanation:
What two fractions are equivalent to 12/27
Step-by-step explanation:
I have no answer to choose...
[tex]\dfrac{12}{27}=\dfrac{12:3}{27:3}=\dfrac{4}{9}\\\\\dfrac{12}{27}=\dfrac{12\cdot2}{27\cdot2}=\dfrac{24}{54}\\\\\dfrac{12}{27}=\dfrac{4}{9}=\dfrac{4\cdot2}{9\cdot2}=\dfrac{8}{18}\\\vdots[/tex]
You can multiply (divide) the numerator and the denominator by the same number different from 0 then the value of the fraction will not change
(you will get a fraction equal to given)
PLEASE HELP ME , GET ON HONOR ROLL PLEASE NEED YOUR HELP
A plant is already 11.00 meters tall, and it will grow 9 centimeters every month. The plant's height, H (in meters), after x months is given by the following.
H=11.00 +0.09x
What is the plant's height after 50 months?
Answer:
19 ft i think
Step-by-step explanation:
hop ethis helps :) have a nice day
What is x for unknown angle problems algebra?
Step-by-step explanation:
If two lines cross each other the angles opposite of each other are the same. So left=right and top=bottom. Knowing this the bottom angle must be 120°. if 3x=120° then x=40°
Jonah has read of his mystery book. He 1/4 has read 36 pages. How many pages are in the mystery book ?
Answer:
144 pages
Step-by-step explanation:
Johan has read [tex]\frac{1}{4}[/tex] of the book that is 36 pages.
To find the total number of pages in the book, note that
[tex]\dfrac{1}{4}\ - \ 36\ \text{pages}\\ \\1\ - \ x\ \text{pages}[/tex]
Then
[tex]\dfrac{\frac{1}{4}}{1}=\dfrac{36}{x}\\ \\\dfrac{1}{4}x=36\\ \\x=4\cdot 36\\ \\x=144\ \text{pages}[/tex]
How do you get 3/5 of 18
Answer:
54/5
Step-by-step explanation:
(3/5)(18)=54/5
$37.50 decreased by 4% =
Answer:
$36
Step-by-step explanation:
The original value is $37.50 so that is 100%.
A decrease of 4% from original value means that you are finding 96% of the value, since 100% -4%= 96%
So the new value is 37.50/100 ×96= $36
This is because:
100% ----- $37.50
1% --------- $0.375
96% ------- $36
or taking 96% of original value would be
96/100 × $37.50= $36
Which would give you the same answer
A painter can paint 350 square feet in 1.25 hours what is the painting rate per square feet per hour
Answer:280 square feet per hour.
Step-by-step explanation:
I got both #5 wrong can someone please help me? :(
Answer:
insted of choosing a it should have been b the < symbol is the aligator thing you learn in like 1st grade
x-1=2
Work out the value of 2x squared
Step-by-step explanation:
x-1=2 therefore x is 3 so 2x squared is 36
Answer:
1.22474487139
Step-by-step explanation:
x = 3
so if 2x^2 - 1 = 2
add 1 to both equations
2x^2 = 3
next, divide 2 from both sides
x^2 = 3/2
x^2 = 1.5
now find the square root of 1.5
the answer is:
1.22474487139
A: twice a number minus seven is eight greater than three times a number
B: how many solutions does this equation have?
The equation has only one solution that is x = -15
Step-by-step explanation:
We have to convert the given statement in form of equation to find the number
Let x be the number
then
According to given statement,
[tex]2x-7 = 3x+8\\-7 = 3x-2x+8\\-7 = x+8\\x = -7-8\\x = -15[/tex]
The equation has only one solution that is x = -15
Keywords: Linear equation, variables
Learn more about linear equation at:
brainly.com/question/11155478brainly.com/question/11223427#LearnwithBrainly
Final answer:
The equation 'twice a number minus seven equals eight greater than three times the number' simplifies to 2x - 7 = 3x + 8, which has one solution: x = -15.
Explanation:
The original question asks us to solve an algebraic equation where twice a number minus seven is equal to eight greater than three times that number.
To translate this into an algebraic expression, let the unknown number be x.
This gives us the equation 2x - 7 = 3x + 8.
To solve this equation, we can subtract 2x from both sides to get -7 = x + 8 and then subtract 8 from both sides to isolate x, resulting in x = -15.
To answer part B, this type of linear equation will only have one solution because it’s a linear equation with a non-zero coefficient in front of the variable x.
A rectangle has width that is 6 meters less than the length. The area of the rectangle is 280 square meters. Find the dimensions.
Dimensions are length 20 meter and width 14 meter
Solution:
Let "a" be the length of rectangle
Let "b" be the width of rectangle
Given that,
A rectangle has width that is 6 meters less than the length
Width = length - 6
b = a - 6
The area of the rectangle is 280 square meters
The area of the rectangle is given by formula:
[tex]Area = length \times width[/tex]
Substituting the values we get,
[tex]Area = a \times (a-6)\\\\280 = a^2-6a\\\\a^2-6a -280=0[/tex]
Solve the above equation by quadratic formula
[tex]\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\\\\quad x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
[tex]\mathrm{For\:}\quad a=1,\:b=-6,\:c=-280:\quad a_{1,\:2}=\frac{-\left(-6\right)\pm \sqrt{\left(-6\right)^2-4\cdot \:1\left(-280\right)}}{2\cdot \:1}[/tex]
[tex]a =\frac{6 \pm \sqrt{36+1120}}{2}\\\\a = \frac{6 \pm \sqrt{1156}}{2}\\\\a = \frac{6 \pm 34}{2}\\\\Thus\ we\ have\ two\ solutions\\\\a = \frac{6+34}{2} \text{ or } a = \frac{6-34}{2}\\\\a = 20 \text{ or } a = -14[/tex]
Since, length cannot be negative, ignore a = -14
Thus solution of length is a = 20
Therefore,
width = length - 6
width = 20 - 6 = 14
Thus dimensions are length 20 meter and width 14 meter
Andrew and Karleigh each run for 1 hour. Which statement explains who ran a greater distance?
Answer: The one who ran at the greater Average Speed in 1 hour ran the greater Distance.
Step-by-step explanation:
Speed (S) is the ratio of the distance (D) covered to the time (t) taken.
That is, S = D/t
Suppose Andrew ran a distance D1 in 1 hour (3600 seconds) at a Speed, say S1, we have
S1 = D1/t
We can then say he ran a distance
D1 = t × S1
= 3600S1
Similarly, let's say Karleigh ran a distance
D2 = t × S2
= 3600S2
Let us compare these two, you will notice that the bigger number between S1 and S2 is going to determine the bigger number between D1 and D2.
Let's choose random numbers for S1 and S2 for clarity, say S1 = 5, S2 = 10
D1 = 3600 × 5
= 18000
D2 = 3600 × 10
= 36000
This makes D2 bigger than D1.
I hope this is clear.
Answer:
Karleigh ran a greater distance. The slope of the line described by the data in her table increased at a rate of 1/10 mile per minute compared to Andrew’s 1/12 mile per minute.
Step-by-step explanation:
I need help please and thank you
Answer:
∠3 = 114°
Step-by-step explanation:
Angle 3 is a corresponding angle to angle 7, since they are both in the southwest corner of the intersection of the transversal and the parallel lines. Corresponding angles have the same measure, so ...
∠3 = ∠7 = 114°
Y = -X + 1
Y = 3
Substitution method
Answer:
x=-2, y=3. (-2, 3).
Step-by-step explanation:
y=-x+1
y=3
----------
-x+1=3
-x=3-1
-x=2
x=-2
y=-(-2)+1
y=2+1=3
Given f(x)= x-7 and g(x)=x^2 Find f(g(4)).
fo(4)) =
Good morning,
Answer:
f(g(4)) = 9
Step-by-step explanation:
f(x)= x-7
g(x)=x²
fog(x) = f(g(x)) = x² - 7
then
f(g(4)) = 4² - 7 = 16 - 7 = 9
:)
What is the formula for margin of error? ME = ME = ME = ME =
Answer:
the answer is C on edgen.
Step-by-step explanation:
The product of (a + b)(a − b) is a2 − b2. (1 point)
Group of answer choices
Sometimes
Always
Never
Flag this Question
Question 21 pts
(07.07)
Find the product of (x − 7)2. (1 point)
Group of answer choices
x2 − 14x + 49
x2 + 14x + 49
x2 − 49
x2 + 49
Flag this Question
Question 31 pts
(07.07)
Find the product of (x + 5)2. (1 point)
Group of answer choices
x2 − 10x + 25
x2 − 25
x2 + 25
x2 + 10x + 25
Flag this Question
Question 41 pts
(07.07)
Find the product of (x + 3)(x − 3). (1 point)
Group of answer choices
x2 − 6x + 9
x2 + 6x + 9
x2 + 9
x2 − 9
Flag this Question
Question 52 pts
(07.07)
Find the product of (4x − 3y)2. (2 points)
Group of answer choices
16x2 + 24xy + 9y2
16x2 − 9y2
16x2 − 24xy + 9y2
16x2 + 9y2
Flag this Question
Question 62 pts
(07.07)
Find the product of (2x + 5y)2. (2 points)
Group of answer choices
4x2 + 20xy + 25y2
4x2 − 20xy + 25y2
4x2 − 25y2
4x2 + 25y2
Flag this Question
Question 72 pts
(07.07)
Find the product of (3x + 7y)(3x − 7y). (2 points)
Group of answer choices
9x2 − 42xy + 49y2
9x2 + 42xy + 49y2
9x2 − 49y2
9x2 + 49y2
1. Always
2. x^2 − 14x + 49
3. x^2 + 10x + 25
4. x^2 − 9
5. 16x^2 − 24xy + 9y^2
6. 4x^2 + 20xy + 25y^2
7. 9x^2 − 49y^2
Some of these may be incorrect as you didn't probably right down the problems... I had to guess what was exponents/ <3
What is the slope of a line passing through (3, 4) and (5, 8)?
Answer:
The slope of the two points is 2.
Answer:
2 is teh answer
Step-by-step explanation:
PLZZZ HELP!!!!!!!!!!!!
Two angles are a linear pair. The measure of one angle is 5 more than 3/4 of the other. Find the measure of both angles.
Answer:
Angle 1: 100
Angle 2: 80
Step-by-step explanation:
A linear pair of angles is formed when two lines intersect. The measure of a straight angle is 180 degrees, so a linear pair of angles is equal to 180 degrees.
Angle 1: x
Angle 2: (x * 3/4) + 5
x + (x * 3/4) + 5 = 180
x + 3/4x + 5 = 180
1 3/4x + 5 - 5 = 180 - 5
1 3/4x = 175
1 3/4x / 1 3/4 = 175 / 1 3/4
x = 100
Check:
(x * 3/4) + 5
(100 * 3/4) + 5
75 + 5
80
100 + 80 = 180
To find the measure of both angles that form a linear pair, set up an equation and solve for x.
Explanation:To find the measure of both angles, let's assume that one angle is x degrees. According to the given information, the other angle is 3/4 of x degrees plus 5. So the measure of the other angle is (3/4)x + 5 degrees. Since the two angles form a linear pair, their measures sum up to 180 degrees. Therefore, we can write the equation: x + (3/4)x + 5 = 180. Solving this equation, we can find the value of x and then calculate the measures of both angles.