Answer:
12 feet x 4 feet
Step-by-step explanation:
The classroom wall is 160 feet, and no more than 30% of it may be covered.
Multiply 160 times .3 to get the maximum amount of square feet that the bulletin board can cover.
You get 48 square feet for the bulletin board.
The length of the board is three times as long as the width, so the length must be 12 and the width must be 4 feet.
Answer: 12 feet x 4 feet
Answer:
L=12 W=4
Step-by-step explanation:
160x.3= 48ft for fire code
4x12=48
hello:) I need help with part (e) , thanks!
Answer:
35.8° (1 d.p.)
Step-by-step explanation:
Please see the attached pictures for full solution.
The corner section of seats in a stadium contains 2 seats in the front row, 4 seats in the second row, 6 seats in the third row, etc. Each row has 2 more seats than the row in front of it. There are 2n seats in the nth row. How many total seats are in a corner section with n rows of seats?
Answer:
n(n +1) is the Total number of seats in the corner section.
Step-by-step explanation:
We are given that:
Number of seats in first row = 2
Number of seats in second row = 4
Number of seats in third row = 6
:
Number of seats in [tex]n^{th}[/tex] row = [tex]2n[/tex]
We can clearly see that it is an Arithmetic progression with
First term, a = 2
Common Difference, d = 2
[tex]n^{th}[/tex] term, [tex]a_n=2n[/tex]
To find: Total number of seats in corner sections with n rows.
i.e. Sum of n terms of above AP.
Formula for sum of n terms of an AP:
[tex]S_n=\dfrac{n}{2}(2a+(n-1)d)\\[/tex]
Putting the values:
[tex]\Rightarrow \dfrac{n}{2} ({2 \times 2 +(n-1)2})\\\Rightarrow \dfrac{n}{2} (4 +2n-2)\\\Rightarrow \dfrac{n}{2} (2n +2)\\\Rightarrow \dfrac{n}{2} \times 2(n +1)\\\Rightarrow n(n +1)[/tex]
n(n +1) is the Total number of seats in the corner section.
SOMEONE PLEASE HELP ME QUICK
(THE ONE I CLICKED IS THE WRONG ANSWER)
Someone please give me the answer with an explanation.
Answer:
The first one!
Step-by-step explanation:
the others don't work since there could be more possibilitys than just b and c.
D is just wrong (as you creati)
I seriously cited the sources you fool>;/
plagiarism, what joke is that! is it a joke? don't be crazy please! thanks!
Given:
MNOP is a parallelogram
Prove:
PM ON
(For this proof, use only the definition of a parallelogram; don’t use any properties)
Answer:
Proved: PM ≅ ON
Step-by-step explanation:
A parallelogram is a quadrilateral with two opposite sides equal and parallel.
Find attached the diagram obtained from the information
From the above definition, quadrilateral MNOP is a parallelogram if:
Line MN is parallel to Line OP
Line ON is parallel to Line PN
From the diagram
Line MN is parallel to Line OP
Side MN is = side OP
Line ON is parallel to Line PN
Side ON is = side PN
Since the geometric size is equivalent
PM ≅ ON
Where ≅ means congruent to
Proved.
Satnam is making a cake. He uses a batter made of 350 g of
dry ingredients. If the liquid has to be two sevenths of the
total weight of the batter, how much liquid should he add?
.
g
Answer:
Satnam should use 100g of luqid ingerdients.
Step-by-step explanation:
If the batter is 350g and the liquid amount has to be 2/7 of the total weight of the batter than you would take 350 and divide it by 7, wich you would get 50, and that would be 1/7 of the 350; then if 50 is 1/7 then 100 would be 2/7 because you're doubling it.
please help! summer school is really getting to me :(
Answer:
yes their parallel
Step-by-step explanation:
their the same equation just one is negative they go the go next to each other but never touch
Which number is a multiple of 6 and 8
Answer:
The lowest number that is a multiple of 6 and 8 is 24.
Step-by-step explanation:
6, 12, 18, 24.
8, 16, 24.
Out of the given numbers, 24 is the multiple of 6 and 8. Hence, the option (3) is correct.
Let's check for all the given options:
1) 3: 3 is divisible by neither 6 nor 8 hence it is not a multiple of both.
2) 18 : 18 is divisible by 6 but not divisible by 8. Hence, this option is not correct. Since we have to find a number which is divisible by 6 as well as by 8.
3) 24: 24 is divisible by 6 as well as by 8. Hence, this option is correct.
4) 2: 2 is neither divisible by 6 nor by 8. Hence, this option is not correct.
Hence, the correct option is (3).
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100 POINTS
The graph shows the heights, y (in centimeters), of a plant after a certain number of weeks, x. Donna drew the line of best fit on the graph. What would most likely be the approximate height of the plant after 8 weeks?
11.0 centimeters
9.25 centimeters
8.8 centimeters
7.4 centimeters
Answer:7.4cm
Step-by-step
The approximate height of the plant after 8 weeks is 5.8 centimeters.
Given that:
The graph shows the heights, y (in centimeters), of a plant after a certain number of weeks, x.
Donna drew the line of best fit on the graph.
From the graph, the line of best fit passes through the points (0, 1) and (5, 4).
Now find the equation of the line passing through these points.
The slope of the line is:
m = (4 - 1) / (5 - 0)
= 3/5
The equation of the line can be written as y = 3/5 x + c.
Now, substitute one of the points, let it be (0, 1).
1 = c
So the equation is y = 3/5 x + 1.
Now, after 8 weeks, x = 8.
y = 3/5 (8) + 1
= 5.8
Hence the height is approximately 5.8 centimeters.
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How do if figure out Pi X 8. I know the answer but I need to figure out how to get the answer. Please help if you understand.
Answer:
25.12
Step-by-step explanation:
round pi to first 2 digits after decimal point.
3.14 x 8 =25.12
What is the slope of the line described by the equation below y=-6x+3
Answer:
[tex]-6[/tex]
Step-by-step explanation:
[tex]y=mx+b[/tex]
[tex]m[/tex] is the slope of the line.
[tex]b[/tex] is the y-intercept.
[tex]y=-6x+3[/tex]
[tex]m=-6[/tex]
[tex]-6[/tex] is the slope of the line.
Answer:
-6
Step-by-step explanation:
The given equation is:
y = -6x+3
The standard slope-intercept equation is:
[tex]y = mx+c[/tex]
Where m is slope and c is y-intercept
Comparing the given equation with standard form, we get:
Slope = m = -6
Scottie is standing next to a lighthouse on the edge of a cliff overlooking the ocean. The cliff is 30 meters above
sea level, and the lighthouse has a height of 15 meters. There is a man fishing in a boat directly below Scottie who
has hooked a fish that is 10 meters below the surface of the water.
a. Use positive and negative numbers to represent the locations in relation to sea level.
Scottie =
Top of the lighthouse =
The boat =
The fish =
meters
b. How far is Scottie from the fish?
a.
Scottie = 30
Top of the lighthouse = 45 (30+15)
The boat = 0
The fish = -10
b.
10 + 30 = 40
The addition is one of the four fundamental mathematical operations. The Scottie is 40 meters below away from the fish.
What is Addition?The addition is one of the four fundamental mathematical operations, the others being subtraction, multiplication, and division. When two whole numbers are added together, the total quantity or sum of those values is obtained.
The representation of the locations in relation to sea level can be made as,
Scottie = 30 meters above the sea level = +30 meters
Top of the lighthouse = 45 meters above the sea level = +45 meters
The boat = at sea level = 0 meters
The fish = 10 meters below sea level = -10 meters
B. The Scottie is 40 meters below away from the fish.
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f(x) = -9x + 2 and g(x) = -9x + 6, find (f - g)(7)
Answer:
I think there is an error in the question because
(f-g) = -4
(f-g) (7) = NO SOLUTION
Step-by-step explanation:
[tex]f(x) = -9x + 2 \\g(x) = -9x + 6\\(f - g)(7)\\(f - g) = -9x + 2 - (-9x+6)\\(f - g) = -9x +2 +9x-6\\(f - g) = -9x +9x+2-6\\(f - g) = -4[/tex]
I WILL MAKE WHOEVER ANSWERS THIS CORRECTLY THE BRAINLIEST :D Rei is barricading a door to stop a horde of zombies. She stacks boxes of books on a table in front of the door. Each box weighs 30 kilograms, and the table with 8 boxes on top weighs a total of 310 kilograms. The total weight W of the barricade in kilograms is a function of x, the number of boxes Rei stacks on the table. Write the function's formula.
Answer:
[tex]W(x)=30x+70[/tex]
Step-by-step explanation:
First, we will find the weight of the table. We know that 8 boxes weighs a total of 240 kg since each box weights 30 kg. Then to find the weight of the table, we can subtract the total weight from the weight of the boxes. Thus:
[tex]W_{\text{table}}=310-240=70\text{ kg}[/tex]
So, the weight of the table is 70 kg.
Now, we can write our function. Let [tex]x[/tex] equal the amount of boxes.
The table is a set weight, so that would be our constant.
Thus, we will have:
[tex]W(x)=30x+70[/tex]
Where W(x) represents the weight of the table after adding x boxes.
30x represents the weight each box of book adds to the total. One box equals 30 kg, two boxes equal 60 kg, etc.
The 70 represents the unchanging weight of the table.
Answer:
Step-by-step explanation:
Well first, we need to find the weight of the table. We know that 8 boxes weighs a total of 240kg (since each box weights 30kg). Thus, we can conclude that the table weighs 70kg by doing 310-240=70.Now, we can write our function. Let equal the amount of boxes.
The table is a set weight, so that would be our constant so, we will have: 30x represents the weight each box of book adds to the total. One box equals 30kg, 2 boxes equal 60kg, etc.The 70 represents the unchanging weight of the table.In terms of W(x), it will be:
What is the distance between (-2 1/2, -3) and (1, -3)
A.-3 1/2 units
B.-1 1/2 units
C.1 1/2 units
D.3 1/2 units
Answer:
D) 3 1/2Step-by-step explanation:
d = √(x₂ - x₁)² + (y₂ - y₁)²
x₂ = 1
x₁ = - 2 1/2 = - 5/2
y₂ = - 3
y₁ = - 3
d = √( 1 + 5/2)² + (- 3 + 3)²
= √(2/2 + 5/2) + 0
= √(7/2)²
= 7/2
= 3 1/2
Answer:
D
Step-by-step explanation:
(-2 1/2, -3) = (-5/2 , -3) & (1, -3)
[tex]Distance=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\\\\ =\sqrt{(1-[\frac{-5}{2}])^{2}+(-3-[-3])^{2}}\\\\ =\sqrt{(1+\frac{5}{2})^{2}+(-3+3)^{2}}\\\\ =\sqrt{(\frac{7}{2})^{2}} \\\\=\frac{7}{2}\\\\=3\frac{1}{2}[/tex]
Add. 7/4+9/-5 wrote your answer as a fraction in simplest form
Answer:
7/4 + 9/-5 =
Since the denominator of the second fraction is negative the sign will change from negative to positive
We will get
7/4 - 9/5
First find the LCM
LCM of 4 and 5 is 20
7/4 - 9/5 = 5(7) - 4(9)/ 20
Simplify
We get
35 - 36/20
= -1/20
Hope this helps
Answer:
-1/20
Step-by-step explanation:
7/4 + -9/5
We need a common denominator, which is 20
7/4 *5/5 + -9/5 *4/4
35/20 + -36/20
Add the numerators together
-1/20
Give my answer in terms of pi and state it's units
Answer:
113.1 square mm
Step-by-step explanation:
A=πr2=π·62≈113.09734
Answer:
[tex]= 36\pi \: {mm}^{2} \\ [/tex]
Step-by-step explanation:
[tex]area = \pi {r}^{2} \\ = \pi \times 6 \times 6 \\ = 36\pi \: {mm}^{2} [/tex]
you can buy a 47 pound bag of flour for $11 or you can buy a 1 pound bag of flour for $0.45. Compare the per pound cost for the large and small bags.
Answer:
Step-by-step explanation:
$11/ 47 pound = $0.234 for 1 pound
the cost of buying 47 pound for 11 dollars is cheaper than to buy individual 1 pound bag for 0.45.
Answer:
First, let's find the unit price.
$11 ÷ 47 = $0.23 per pound.
$0.45 ÷ 1 = $0.45 per pound.
As you can see here, the 1 pound bag(smaller bag) clearly costs more per pound. The 47 pound bag(larger bag) costs less.
We can also put the values on a number line to compare.
$0.23 $0.45
(larger bag) (smaller bag)
<-|---------o---------------------o---------|------------------------------------------|->
$0 $0.50 $1
As you can see, the larger bag is closer to zero.
Hence, the larger bag is the better buy.Hope this helped!
-Emma
For what values of the variables are the following expressions defined? •18/y
Answer:
function 18/y is defined for all values of y such that [tex]y \in R, y\neq 0[/tex]
Step-by-step explanation:
given data
number = 18/y
solution
in given value 18/y
If y=0, the function will be Undefined.
Because, the function is undefined if its denominator = 0
so that if we determine the function is defined, we will find out for what values the function is undefined and remove it
so, the function 18/y is defined for all values of y such that
[tex]y \in R, y\neq 0[/tex]
Can someone help me with this ????
Answer:
A.
[tex](\frac{3}{3+5})(2 - (-14))+ (-14)[/tex]
Step-by-step explanation:
Given
Ratio = 3:5
Q = -14
S = 2
Required
Which solution uses [tex](\frac{m}{m+n})(x_2 - x_1)+ x_1[/tex]
From the given parameters;
[tex]m:n = 2:5[/tex]
[tex]m = 2\ and\ n = 5[/tex]
[tex]x_1 = -14\ and\ x_2 = 2[/tex]
Substitute the above values in [tex](\frac{m}{m+n})(x_2 - x_1)+ x_1[/tex]
This gives:
[tex](\frac{m}{m+n})(x_2 - x_1)+ x_1[/tex]
[tex](\frac{3}{3+5})(2 - (-14))+ (-14)[/tex]
From the list of given options, only option A uses the given form of the formula...
If K parallel to L find the value of a and the value of b.
Answer:
[tex]a = 30[/tex]
[tex]b = 40[/tex]
Step-by-step explanation:
Given
The attached triangle
Such that K is parallel to L
Required
Find the value of a and b
From the properties of parallel triangles;
Provided that k is parallel to l, then
[tex]\frac{a}{40} = \frac{a+15}{60}[/tex]
Multiply both sides by (60)(40)
[tex](60)*(40)*\frac{a}{40} = (60)*(40)*\frac{a+15}{60}[/tex]
[tex]60a = 40(a+15)[/tex]
Open Bracket
[tex]60a = 40*a+40*15[/tex]
[tex]60a = 40a+600[/tex]
Subtract 40a from both sides
[tex]60a - 40a = 40a - 40a + 600[/tex]
[tex]20a = 600[/tex]
Divide both sides by 20
[tex]\frac{20a}{20} = \frac{600}{20}[/tex]
[tex]a = \frac{600}{20}[/tex]
[tex]a = 30[/tex]
Similarly;
[tex]\frac{b}{40} = \frac{b+20}{60}[/tex]
Multiply both sides by (60)(40)
[tex](60)*(40)*\frac{b}{40} = (60)*(40)*\frac{b+20}{60}[/tex]
[tex]60b = 40(b+20)[/tex]
Open Bracket
[tex]60b = 40*b+40*20[/tex]
[tex]60b = 40b+800[/tex]
Subtract 40b from both sides
[tex]60b - 40b= 40b - 40b + 800[/tex]
[tex]20b= 800[/tex]
Divide both sides by 20
[tex]\frac{20b}{20} = \frac{800}{20}[/tex]
[tex]b = \frac{800}{20}[/tex]
[tex]b = 40[/tex]
Multiply. 9x/4b•2bx/3x^5. Simplify your answer as much as possible
Answer:
3/2x^3
Step-by-step explanation:
multiply the numerators and the denominators
The amplitude of y = -3sinx is _____.
Answer:
The amplitude is 3.
Step-by-step explanation:
HURRY!!!! Determine the coordinates of the point on the unit circle corresponding to the given central angle. If necessary, round your results to the nearest hundredth. 270 degrees a. (1, 0) c. (0, -1) b. (0, 1) d. (-1, 0)
Answer:
The answer is c. (0,-1)
Step-by-step explanation:
So the unit circle is derived from a right triangle.
A triangle has the coordinates A( 4, –1), B(3, –3), and C(0, 2). Reflect the triangle over the y-axis and find the coordinates of its image.
Answer:
Step-by-step explanation:
For greater clarity, graph this triangle. If this triangle is reflected about the y-axis, the point C(0, 2) remains a vertex. The point B(3, -3) becomes D(-3, -3). Finally, the point A(4, -1) becomes E(-4, -1).
Answer:
A(4,-1)-> A'(-4,-1) . B(3,-3)->B'(-3, -3) . C(0,2) -> C' (0,2)
Step-by-step explanation:
Multiply. -5•-1/7•4/8. Write your answer in simplest form.
Answer:
5/14
Step-by-step explanation:
Multiply.
(-5 × -1 × 4) / (7 × 8)
20/56
Simplify.
5/14
Answer:
The answer is [tex]\frac{5}{14}[/tex].
Step-by-step explanation:
1. -5 × [tex]\frac{-1}{7}[/tex] = [tex]\frac{5}{7}[/tex]
2. [tex]\frac{5}{7}[/tex] · [tex]\frac{4}{8}[/tex] = [tex]\frac{20}{56}[/tex]
3. Simplify:
[tex]\frac{20}{56}[/tex] = [tex]\frac{5}{14}[/tex]
If f(x) = x ^ 2 is vertically compressed by a factor of 9 to g(x) , what is the equation of g(x) ?
Answer:
[tex]g(x) = \frac{1}{9} \,x^2[/tex] which agrees with option A in the list of possible answers
Step-by-step explanation:
A vertical compression by a factor 9 is represented by the transformation:
[tex]\frac{1}{9} \,f(x) = \frac{1}{9} \,x^2[/tex]
Therefore the answer to the problem is:
[tex]g(x) = \frac{1}{9} \,x^2[/tex]
Find the size of angle XYZ.
Give your answer to 1 decimal place.
Z.
13 cm
x
Y
4 cm
Answer:
0.9
Step-by-step explanation:
so cos^-1 (4/13)
so it will be 0.95
if you round it up then it would be 1 if not then just 0.9
the correct answer would be - 3.25cm
here its given that x=4cm , y=4cm and z=13cm.
What are Trigonometric identities ?
Trigonometric identities are equations involving the Trigonometric functions that are true for every value of variables involved.
The question would be solved by applying trigonometry here, Hence, applying trigonometric identity of cos0 which is base upon hypotenuse i.e. B/H
here, a triangle would be constructed wherein, base would be z=13cm
and x and y will define the other 2 lines of 4 cm each and applying cos0=base/hypotenuse , here we get 13/4= 3.25cm.
hence the correct answer is- 3.25cm
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WHAt is the equation of the graph below?
Yoki is running a 10-mile race. She runs at a steady speed and then slows down, stops to get a drink of water, and
then runs fast to get back in the race. Which graph best represents the situation?
Answer:
is their any pictures or graphes so i can answer?
Step-by-step explanation:
Answer: d on the edge
Find the distance between a point (–7, –19) and a horizontal line at y = 3. answers: A) 22 B) 13 C) –16 D) 16
Answer:
c
Step-by-step explanation: