==================================================
Explanation:
The volume is 296 cm^3 and the height of the box is 8 cm
The area of the top is 296/8 = 37 cm^2. I'm using the idea that
volume of box = (area of base)*(height)
--------------------
The area of the top is 37 cm^2. Apply the square root to get sqrt(37) = 6.08276 cm which is the approximate length of each side along the top. This only works if the top is a square.
Multiply this by 4 to get 4*6.08276 = 24.33104
The perimeter along the top is roughly 24.33 cm
--------------------
The next task we have to do is convert from inches to centimeters
Multiply by 2.54 to do this.
24 & 1/4 inches = 24 + 1/4 = 24 + 0.25 = 24.25 inches
24.25 * 2.54 = 61.595 cm
The measurement 24 & 1/4 inches converts to about 61.595 cm
This means Adam has about 61.595 cm of ribbon
--------------------
To recap, we found these two facts:
The perimeter of the top is about 24.33 cmAdam has roughly 61.595 cm of ribbonSince the amount he has (61.595) exceeds the perimeter (24.33), this means he does have enough ribbon.
In fact, he has enough ribbon to do 2 boxes because 61.595/24.33 = 2.53 approximately and that rounds down to 2. We don't round to 3 even though we're closer to it.
Can someone pls help me with problems 4 and 5 pls this is due in a bit and I’m in a rush I’ll give 100 points it’s all I have
Answer:
Step-by-step explanation:
Answer:
#4Let M is the midpoint of DE.
Since D is at 8 and DE = 5.
DM = ME = 5/2 = 2.5
Point M is at:
8 + 2.5 = 10.5 if E is to the right of D8 - 2.5 = 5.5 if E is to the left of D#5Given
XY = 7, YZ = 2x - 1, XZ = 30Since XZ = XY + YZ, set up an equation and solve for x:
7 + (2x - 1) = 302x + 6 = 302x = 24x = 12#6The distance from your house to friend's is LN.
We have:
M is midpoint of LN, so LM = MNLM = 3xMN = 2x + 2Set up an equation, solve for x:
3x = 2x + 23x - 2x = 2x = 2Find the distance LM:
LM = 3*2 = 6Find the distance LN:
LN = 2*LM = 2*6 = 12Write the equation of the line that passes through the points
(3,-2) and (6, 1).
y=x-5
y = 5x + 1
y = -x + 5
Answer:
It is y = x - 5
Step-by-step explanation:
General equation of a line:
[tex]{ \bf{y = mx + c}}[/tex]
m is the gradient, and c is y-intercept.
For gradient:
[tex]slope = \frac{y_{2} - y_{1} }{x _{2} - x_{1}} [/tex]
substitute:
[tex]slope = \frac{1 - ( - 2)}{6 - 3} \\ \\ = \frac{3}{3} \\ slope \: = 1[/tex]
m = 1
for y-intercept:
consider point (6, 1):
[tex]y = mx + c \\ 1 = (6 \times 1) + c \\ 1 = 6 + c \\ c = 1 - 6 = - 5[/tex]
therefore:
[tex]{ \sf{equation \: is \: \{y = x - 5 \}}}[/tex]
Two-thirds a numberx plus 4 is 8.
Answer:
n = 6
Step-by-step explanation:
To solve this you can use an equation such as:
[tex]\frac{2}{3} n+4=8\\\\[/tex]
We need to so for n. Subtract 4 from both sides to get the variable (n) alone. 4 - 4 and 8 - 4 equals:
[tex]\frac{2}{3}n=4[/tex]
So now we divide both sides by 2/3.
This now equals:
[tex]n=6[/tex]
(PLEASE HELP) Substitution and Evaluation, Complete the students work by dragging the numbers to the empty spaces
Answer:
boxes count from top to bottom
Use Distributive property to write the expression without parentheses
Answer:
28a + 17
Step-by-step explanation:
7(4a + 3) - 4
28a + 21 - 4
28a + 17
please help me will mark braniliest
Answer:
The correct answer is option A. Line DB
Step-by-step explanation:
When you write that M is a line, the sign for this would be a line with arrows on both of its end like this : <------------>
Now, due to the fact that lines look like this <------------>, we can cross out option C and D as they both aren't lines but points. Points go like this: ---->
Option B says, "line EB", this can't be true because E corresponds with the letter F, it can't become a line with B hence why the only option true here is choice A.
2(k + 1) = -4(k - 2)
Answer:
1
Step-by-step explanation:
2(k + 1) = -4(k - 2)
2k + 2 = --4k+8
2k+4k=8-2
6k=6
k=6/6
k=1
Using the graph, find the equation of the line in slope-intercept form.
What is the slope-intercept form of the equation of the line?
y =
Answer:
y = 2x + 2
BRAINLIEST, PLEASE!
Step-by-step explanation:
(-2, -2) (-1, 0)
y = mx + b (m = slope, b = y-intercept)
m = rise/run = change in y / change in x
change in y: +2
change in x: + 1
change in y/change in x = 2/1 = 2
m = 2, y = 2x + b
We can plug -1 in for x, and 0 in for y.
0 = 2(-1) + b
0 = -2 + b
b = 2
y = 2x + 2
Answer:
y = 2x + 2
Step-by-step explanation:
Ella invests 4000 dollars for 3 years a rate of 1.2% per year compound interest. Calculate the value of her investment at the end of the 3 years.
Answer:
Answer is $4145.6
Step-by-step explanation:
formular for compound interest:
[tex]{ \bf{A = P( \frac{r}{100} + 1) {}^{n} }}[/tex]
P is the principle, P = $4000
r is rate, r = 1.2%
n is period, n = 3 years
A is the accumulative amount.
substitute:
[tex]{ \sf{A = 4000( \frac{1.2}{100} + 1) {}^{3} }} \\ \\ { \sf{A = 4000 \times 1.0364}} \\ { \sf{A = 4145.6 \: dollars}}[/tex]
what is this pls help me
Answer:
D’=(3,3); F’=(-2,-2); E’= (-5,0)
Step-by-step explanation:
To find the reflection over the y axis (the line x=0), you just need to change the x either from positive to negactive or the opposite.
if m<8= 23° find each measure.
straight angles ( 1 , 2 , 3 , 4 ) parallel to straight angles Angles ( 5 , 6 , 7 , 8 )
m<8 = m< 6 = 23° [ Opposite angles]
m< 4 = m< 2 = 23°
m<8 + m< 5 = 180°
23° + m< 5 = 180°
m<5 = 180 - 23 = 157
m< 5 = m< 7 = 157° [ Opposite angles]
m< 1 = m< 3 = 157° [ Opposite angles]
straight angles ( 1 , 2 , 3 , 4 ) parallel to straight angles Angles ( 5 , 6 , 7 , 8 )
So;m< 1 = 157m< 2 = 23m< 3 = 157m<4 = 23m< 5 = 157m< 6 = 23m< 7 = 157m< 8 = 23I hope I helped you^_^
X
6.
The table shows all the possible sums when rolling two number cubes numbered 1
What is the probability that rolling two cubes results in a sum of 8P
6
1
2
3
4
5
6
7
1
2
3
4
5
6
2 3 4 5
3 4 5 6
4 5 6 7
5 6 7 8
6 7 8 9
7 8 9 10
8 9. 10 11
7
8
9
10
11
12
Done
Answer:
Step-by-step explanation:
You can roll an 8 in the following ways
3 - 5
5 - 3
4 - 4
6 - 2
2 - 6
That's 5 ways that it can be done. There are a total of 36 ways to throw 2 dice.
The probability of getting an 8 is 5/36
-2(-6n-3)-8=82 solve for n
Answer:
n = 7
Step-by-step explanation:
-2(-6n-3)-8=82,
12n + 6 - 8 = 82,
12n -2 = 82,
12n = 84,
n = 7
Answer:
n=7
Step-by-step explanation:
-2(-6n-3)-8=82
Add 8 to both sides
-2(-6n-3)-8+8=82+8
Simplify
-2(-6n-3)=90
Divided both sides by -2
-2(-6 -3) = 90
2 -2
Simply
-6n-3=-45
Add 3 to both sides
-6n-3+3=-45+3
Divided both side by -6
-6n = -42
-6. -6
Simply
n=7
How would I prove the congruency of these triangles?
Step-by-step explanation:
the radius cuts the segment into two equal parts because it is perpendicular to the chord
Answer:
Step-by-step explanation:
As O is the mid point of the circle
Similarly, B also becomes the mid point of the line AC.
So, line OB divides AB and BC equally.
Hence, lines AB = AC, but they are asking to prove congruency of triangles.
So, u have to join OA and OC.
Same way, line OB divides ∠OBA and ∠OBC.
So it is proved that AB = AC
Find the perimeter of the polygon with vertices Q(-3,2), R(1,2), S(1,-2), and T(-3,-2)
The perimeter is blank units
Plz ASAP!!!
Answer: The perimeter is 16 units
Step-by-step explanation:
Can someone please help m with this
Answer:
Step-by-step explanation:
I take it that what you are asking is which one of the three choices gives f(5) = 2.
It is not the table. When you try adding 5 in the x column, you get a much larger result than 2 for y.
And it is not the scattered points of the graph. x = 5 gives 5 on the y axis, not 2.
It is the first choice on the left.
f(5) = x - 3
f(5) = 5 - 3
f(5) = 2
Which numbers in set A = ( -7,-4, 2, 14, 21,34, 42) are elements of b and c, shown below? Set b= ( even numbers) set c: ( multiples of 7) enter answers from largest to smallest.
Answer:
(14, 42)
Step-by-step explanation:
(-4, 2, 14, 34, 42) are all elements of b, and (-7. 14, 21, 42) are all elements of c. (14, 42) are the only elements that are in both sets
María va de compras a una tienda departamental y adquiere los siguientes productos: 2 pantalones, 4 blusas, 3 pares de calcetas y 2 pares de tenis. El precio de los artículos por unidad es: pantalones $ 600.00, blusas: $350.00, calcetas: $120.00 y tenis: $ 950.00. Si María contaba con $5000.00, calcula cuánto dinero le sobró después de las compras realizadas.
Answer:
Pantalones = $600.00 × 2
$ 1,200.00
Blusas = $350.00 × 4
$ 1,400.00
Calcetas = $120.00 × 3
$ 360.00
Par de tenis = $950.00 × 2
$ 1,900.00
Total a pagar = $4,850.00
$5,000.00
- $4,860.00
Sobrante = $140.00
Pls answer this It will help me understand this question
r:-
[tex]\\ \rm\hookrightarrow r+60+50=180[/tex](Supplementary)
[tex]\\ \rm\hookrightarrow r+110=180[/tex]
[tex]\\ \rm\hookrightarrow r=180-110[/tex]
[tex]\\ \rm\hookrightarrow r=70[/tex]
p:-[tex]\\ \rm\hookrightarrow p=50(Opposite\: angles)[/tex]
q:-
[tex]\\ \rm\hookrightarrow q=70+60(Opposite \:angles)[/tex]
[tex]\\ \rm\hookrightarrow q=130[/tex]
Answer:
[tex]{ \sf{60 \degree + r + 50\degree = 180\degree}} \\ { \sf{ \{angles \: on \: straight \: line \}}} \\ { \sf{r + 110\degree = 180\degree}} \\ { \underline{ \sf{r = 70\degree}}}[/tex]
[tex]{ \sf{q + 50\degree = 180\degree}} \\ { \sf{ \{angles \: on \: straight \: line \}}} \\ { \sf{q = 180\degree - 50\degree}} \\ { \underline{ \sf{q = 130\degree}}}[/tex]
[tex]{ \sf{p + q = 180\degree}} \\ { \sf{ \{angles \: on \: straight \: line \}}} \\ { \sf{p + 130\degree = 180\degree}} \\ { \sf{ \underline{p = 50\degree}}}[/tex]
or:
[tex]{ \underline{ \sf{p = 50\degree \: \{alternate \: angles \}}}}[/tex]
someone help me asap
Answer:
19/20 cups
Step-by-step explanation:
Add the amounts together
1/4 + 7/10
Get a common denominator of 20
1/4 *5/5 + 7/10 *2/2
5/20 + 14/20
19/20
Answer:
19/20
Step-by-step explanation:
find a common denominator then do the same with the numerator then add.
What is the equation of the line graphed below?
5
(2, 1)
O A. y=-2x
B. y -
C. y = 2x
o D. y = 1/2 x
Answer:
C. Y=2x
Step-by-step explanation:
I hope this help you
Solve the compound inequality graph the solution -2 is less than or equal to 2x - 4 is less than 4
1,4
pls give me brainliest thanks and 5 start have nice day I know this is correct.
Answer:
-2 ≤ 2x-4 < 4
Find the output, y, when the input, s, is – 7.
y =
y
1
8+
6+
4+
2+
个
CC
-8
-6
-4
-2
2
4
6
8
-2-
M
-4-
-6+
-8
Answer:
school:
cleaned class rooms and background
cooking equipment are laboratory tested of being germs free and also bacteria free
community: clean environment
Step-by-step explanation:
Find the distance between the points (-16, 10) and (4, 10).
Help plz I pay 5 bucks if you solve this
Answer:
20
Step-by-step explanation:
The distance formula is just
[tex]d = \sqrt{(x2-x1)^2+(y2-y1)^2} \\d = \sqrt{(-16-4)^2+(0)^2}\\d = \sqrt{(-20)^2} \\d = \sqrt{400} \\d = 20[/tex]
A school has a ratio of girls to boys as follows:
6:5
What fraction of the school is girls
Answer:
6/11
Step-by-step explanation:
The ratio says that, for every 6 girls, there are 5 boys.
For every 6 girls, there are 6 + 5 = 11 students.
So the fraction of girls is
6/11
graph of −x − 2y = 6
Answer:
y = 1/2 x - 3
Step-by-step explanation:
Answer:
Step-by-step explanation:
(−2x + 8) + (−8x^2− 8x)
Answer:
-8x^2 -10x + 8
Step-by-step explanation:
there is no multiplying just adding
A man is37years old and his child is eight.how many years ago was the product of their ages 96 as in quadratic equation step by step
Answer:
5 years
Step-by-step explanation:
Let x be the unknown numer of years ago when the product of the man and his child's age was 96.
》 x years ago, the man's age = 37 - x
the child's age = 8 - x
(37 - x)(8 - x) = 96
296 - 37x - 8x + x² = 96
x² - 45x - 296 - 96 = 0
x² - 45x - 200 = 0
x² - 5x - 40x - 200 = 0
x(x - 5) -40(x - 5) = 0
(x - 5)(x - 40) = 0
x = 5 years ago or x = 40 years ago
but x = 40 > son's present age.
Thus, x = 5.
Therefore, 5 years ago the product of the ages of the man and his child was 96.
What is the reference angle for 283°?
Is 15.7 an integer ,whole number,natural number