Answer:
1
Step-by-step explanation:
You need to do the opposite of multiplying which is dividing so divide 6/3= 2 then you divide 2/2 which is 1
If the angular size of a tree at a distance of 0.5 miles is 1/2, how tall is the tree
The tall of the tree is 23.048 ft.
Solution:
Given data:
Angular size of a tree = [tex]\left(\frac{1}{2}\right)^{\circ}[/tex]
Distance = 0.5 miles = 2640 feet
To find the tall of the tree:
Formula to calculate the height of the tree is
[tex]$\text{Physical size}= \text{Angular size}\times\frac{2\pi\times \text{distance}}{360^{\circ}}[/tex]
[tex]$ = \left(\frac{1}{2}\right)^{\circ}\times\frac{2\pi\times 2640}{360^{\circ}}[/tex]
[tex]$ = \left(\frac{1}{2}\right)^{\circ}\times\frac{44\pi}{3^{\circ}}[/tex]
[tex]$ = 23.048[/tex]
Physical size = 23.048 ft
Hence the tall of the tree is 23.048 ft.
The circumference of a circle is about 37.7 cm and the diameter is about 12 cm. What expression best represents the value of π?
6/37.7
37.7/12
37.7/6
12/37.7
Answer:
The best expression represents the value of π is [tex]\frac{37.7}{12}[/tex] ⇒ 2nd answer
Step-by-step explanation:
π is the ratio between the circumference of the circle and the length of its diameter
[tex]\frac{C}{d}=\pi[/tex] , where
C is the circumference of the circled is the diameter of the circle∵ The circumference of the circle is about 37.7 cm
∵ The diameter of the circle is about 12 cm
- Find the ratio between them
∴ [tex]\frac{C}{d}=\frac{37.7}{12}[/tex]
∵ [tex]\frac{C}{d}=\pi[/tex]
- Equate the two right hand sides
∴ [tex]\frac{37.7}{12}=\pi[/tex]
∴ The best expression represents the value of π is [tex]\frac{37.7}{12}[/tex]
-4/4+160%+1/5 as an exact decimal
Answer:
0.8
Step-by-step explanation:
-4/4=-1
160%=1.6
1/5=0.2
--------------
-1+1.6+0.2
0.6+0.2
0.8
Which choice shows a correct way to find 6 × 3 × 5?
A. 6 × (3 × 5)
B. 6 + 5 × 3
C. 6 × (3 + 5)
D. 6 × (5 – 3)
Answer:
C
Step-by-step explanation:
Raj and Dev leave the school at 3:30 PM and cycle in opposite direction. If their speeds are 5km/hr and 7km/hr respectively, at what time they will be 18 km apart?
They will be 18 km apart at 5 pm.
Step-by-step explanation:
Speed of Raj is 5km/hr and speed of Dev is 7km/hr
Since they are going in opposite direction,
So, every 1 hours there difference will be (7 + 5) km = 12 km
Now, they will be apart 18 km distance 18/12 hours = 1 hour 30 min
The time will be 3:30 PM + 1 hour 30 min = 5 :00 PM
ak = v+w solve for a
Answer:
a = [tex]\frac{v+w}{k}[/tex]
Step-by-step explanation:
Given
ak = v + w ( isolate a by dividing both sides by k )
a = [tex]\frac{v+w}{k}[/tex]
What is X plus 11 equals 15
Answer:
X plus 11 equals 15 is 4. X equals 4.
Step-by-step explanation:
X + 11 = 15
4 + 11 = 15
X = 4
to find X you needed to subtract 11 from 15 and what you got would be X
Which expressions are equivalent to 2^5•2^4? Check all that apply.
Option A: [tex]2^9[/tex]
Option E: [tex]2^{-2}.2^{11}[/tex]
Option F: [tex](2.2.2.2.2)(2.2.2.2)[/tex]
Solution:
Given expression is [tex]2^5.2^4[/tex].
To find which expression is equivalent to the given expression.
Option A: [tex]2^9[/tex]
Using exponent rule: [tex]a^b.a^c=a^{(b+c)}[/tex]
[tex]2^5.2^4=2^{(5+4)}=2^9[/tex]
Therefore [tex]2^9[/tex] is equivalent to the given expression.
Option B: [tex]2^{20}[/tex]
It is not equivalent to the given expression.
Option C: [tex]2.2^9[/tex]
[tex]2.2^9=2^{(1+9)}=2^{10}[/tex]
Therefore, It is not equivalent to the given expression.
Option D: [tex]2^{10}.2^2[/tex]
[tex]2^{10}.2^2=2^{(10+2)}=2^{12}[/tex]
Therefore, It is not equivalent to the given expression.
Option E: [tex]2^{-2}.2^{11}[/tex]
[tex]2^{-2}.2^{11}=2^{(2-11)}=2^9[/tex]
Therefore, It is equivalent to the given expression.
Option F: [tex](2.2.2.2.2)(2.2.2.2)[/tex]
[tex](2.2.2.2.2)(2.2.2.2)=2^5.2^4[/tex]
Therefore, It is equivalent to the given expression.
Hence option A, Option E and Option E are equivalent to the given expression.
Answer:
AEF
Step-by-step explanation:
Which best describes the function on the graph?
A. direct variation; k = 3
B. direct variation; k = 1/3
C. inverse variation; k = 3
D. inverse variation; k = 1/3
Answer:A i think
Step-by-step explanation:
Answer:
B. Direct Variation: k = 1/3
Step-by-step explanation:
Your Welcome
1. Slove the system of equations, first by graphing, and then algebraically. (8 points) y=x-2 and y=-2x+7
The solution of the equation is [tex]x=3[/tex] and [tex]y=1[/tex]
Explanation:
The equations are [tex]y=x-2[/tex] and [tex]y=-2 x+7[/tex]
First we shall solve the equation graphically.
The image of the graph is attached below.
This contains the solution to the system of equations.
The equations [tex]y=x-2[/tex] and [tex]y=-2 x+7[/tex] are plotted on the graph.
The intersection of these two equations are the solutions of the system of equations.
Thus, the intersection of the two equations are [tex]x=3[/tex] and [tex]y=1[/tex]
Now, we shall solve the equation algebraically.
Let us solve the equation using substitution method.
Let us substitute [tex]y=x-2[/tex] in [tex]y=-2 x+7[/tex], we get,
[tex]x-2=-2x+7[/tex]
Adding both sides by 2x, we have,
[tex]3x-2=7[/tex]
Adding both sides by 2, we get,
[tex]3x=9[/tex]
Dividing both sides by 3,
[tex]x=3[/tex]
Thus, the value of x is 3.
Substituting [tex]x=3[/tex] in [tex]y=x-2[/tex], we get,
[tex]y=3-2\\y=1[/tex]
Thus, the value of y is 1.
Hence, The solution of the equation is [tex]x=3[/tex] and [tex]y=1[/tex]
Laura created a website to create T-shirts. In the first month she put up her website she had only a single T-shirt order. Each month she got more orders. Following this function f(n)=2n-1
How many total orders did she receive over the first year?
Laura received 144 orders over the first year
Solution:
Given function is:
f(n) = 2n - 1
Where, "n" is the month
In the first month she put up her website she had only a single T-shirt order
f(1) = 2(1) - 1 = 2 - 1
f(1) = 1
There are 12 months in a year
For the second month, and third month and so on, substitute n = 2, 3 and so on
f(2) = 2(2) - 1 = 4 - 1 = 3
f(3) = 2(3) - 1 = 6 - 1 = 5
f(4) = 2(4) - 1 = 8 - 1 = 7
f(5) = 2(5) - 1 = 10 - 1 = 9
f(6) = 2(6) - 1 = 12 - 1 = 11
f(7) = 2(7) - 1 = 14 - 1 = 13
f(8) = 2(8) - 1 = 16 - 1 = 15
f(9) = 2(9) - 1 = 18 - 1 = 17
f(10) = 2(10) - 1 = 20 - 1 = 19
f(11) = 2(11) - 1 = 22 - 1 = 21
f(12) = 2(12) - 1 = 24 - 1 = 23
Thus total orders received over first year:
Total orders = 1 + 3 + 5 + 7 + 9 + 11 + 13 + 15 + 17 + 19 + 21 + 23
Total orders = 144
Thus she received 144 orders over the first year
How do you do this question?
Answer:
x={1,2,3}
Step-by-step explanation:
The given inequality is
[tex]1 \leqslant \frac{6x - 1}{3} \: < \: 7[/tex]
We multiply through by the LCM of 3 to get:
[tex]3\leqslant 6x - 1\: < \: 21[/tex]
We add 1 to both sides to get:
[tex]3 + 1\leqslant 6x \: < \: 21 + 1[/tex]
[tex]4\leqslant 6x \: < \: 22[/tex]
Divide through by 6 to get:
[tex] \frac{4}{6} \leqslant x \: < \: \frac{22}{6} [/tex]
This gives us:
[tex]\frac{2}{3} \leqslant x \: < \: \frac{11}{3} [/tex]
[tex]0.67 \leqslant x \: < \:3.67[/tex]
Since x is an integer, the possible values are:
x={1,2,3}
If Kayla ran 9/10 mile yesterday today she ran 8/9 the distance she ran yesterday which day did Kayla run more miles? Explain your reasoning
Answer:
Kayla ran longer miles yesterday than today
Step-by-step explanation:
Distance Kayla ran yesterday be x
Then x = [tex]\frac{9}{10}[/tex] mile
That is x = 0.9 miles
The Distance she ran today be y
Then y = [tex]\frac{8}{9}[/tex] of the distance she ran yesterday
So the distance Kayla ran today
= [tex]\frac{8}{9}[/tex] [tex]\times \text { the distance she ran yesterday }[/tex]
On substituting the value
y = [tex]\frac{8}{9} \times\frac{9}{10}[/tex]
y = [tex]\frac{8}{10}[/tex]
y = 0.8 miles
x is greater than y
0.9 > 0.8
Maggie has a circular table cloth with a 72-inch diameter that she plans to sew lace around. if the lace comes in 3-foot rolls, how many rolls will she need?
She will need 7 rolls of lace
Step-by-step explanation:
The given is:
Maggie has a circular table cloth with a 72-inch diameterShe plans to sew lace aroundThe lace comes in 3-foot rollsWe need to find how many rolls she will need
∵ The diameter of the table is 72 inches
- Change the inches to feet because the length of the lace in
the rolls by feet
∵ 1 foot = 12 inches
∴ 72 inches = 72 ÷ 12 = 6 feet
∵ She plans to sew lace around the table
∴ The length of the lace is equal to the circumference of the table
∵ The circumference of a circle = π d, where d is its diameter
∴ The length of the lace = π(6)
∴ The length of the lace = 18.84955592 feet
∵ The lace comes in 3-foot rolls
- Divide the length of lace by 3 to find the numbers of the rolls
∴ The number of rolls = 18.84955592 ÷ 3
∴ The number of rolls = 6.283185
∴ She must buy 7 rolls
She will need 7 rolls of lace
Learn more:
You can learn more about the circumference of a circle in brainly.com/question/8929610
#LearnwithBrainly
What is the area of this figure?
Enter your answer in the box
P divided by 28 = -26
Answer:54 when ever you have a positive and plus you always add
Step-by-step explanation:
Aaron invest $50 each month for 9 months in an account that pays 7.5% APR compounded monthly. What is the future value of Aaron's account after 9 months?
Answer: 461.45 APEX
Step-by-step explanation:
Answer:
its is $461.45
Step-by-step explanation:
1. Which of the following shows the correct use of the Distributive Property when solving 1/3( 33
- y) = 135. 2
• (33 - y) = 1/3 * 135.2 (your response)
. (1/3*33) - 1/3y = 1/3* 135.2
. (1/3 * 33) - 1/3y = 135.2
. (1/3 * 33) + 1/3y = 135.2
Please I need this asp
Answer:
The option [tex](\frac{1}{3}\times 33)-\frac{1}{3}y=\frac{1}{3}135.2[/tex] is correct
Step-by-step explanation:
Given equation is [tex]\frac{1}{3}(33-y)=135.2[/tex]
The option shows correct usage of distributive property is
[tex](\frac{1}{3}\times 33)-\frac{1}{3}y=\frac{1}{3}135.2[/tex]
( by distributive property [tex]a(x+y)=ax+ay [/tex] here [tex]a=\frac{1}{3}[/tex], x=33 and y=-y )
Therefore the option [tex](\frac{1}{3}\times 33)-\frac{1}{3}y=\frac{1}{3}135.2[/tex] is correct.
The correct use of the Distributive Property for the equation 1/3(33 - y) = 135.2 is to apply multiplication to each term inside the parentheses by 1/3, resulting in (1/3 * 33) - (1/3)y = 135.2.
The question is asking for the correct use of the Distributive Property when solving the equation 1/3(33 - y) = 135.2.
The correct application of the Distributive Property to solve the equation would involve multiplying both terms inside the parentheses by 1/3. Here's how the property is correctly applied:
(1/3 * 33) - (1/3 * y) = 135.2
(33/3) - (1/3)y = 135.2
11 - (1/3)y = 135.2
Hence, the correct option that uses the Distributive Property properly is:
(1/3 * 33) - (1/3)y = 135.2
What is the approximate area of the circle shown? Use 3.14 to approximate pi. Round your answer to the nearest hundredth.
Answer:
[tex]A=153.86\ cm^2[/tex]
Step-by-step explanation:
we know that
The area of a circle is equal to
[tex]A=\pi r^{2}[/tex]
we have
[tex]r=14/2=7\ cm[/tex] ----> the radius is half the diameter
substitute
[tex]A=(3.14)(7)^{2}=153.86\ cm^2[/tex]
Answer:
C
Step-by-step explanation
THE ANSWER IS C
A shop sells one pound bags of peanuts for $2 and three pound bags of peanuts for $5. If 9 bags are purchased for a total of $36, how many three pound bags were purchased?
Answer:7
Step-by-step explanation:
5x7=35
Answer:
Six
Step-by-step explanation:
What do we know?
1 lb pack = $2
3 lbs pack = $5
9 packs are purchased for $36
Solve
The biggest amount of 3-pound bags can be 7. That cannot be because that would be $35, and there are no 1-pound bags.
Go down to 6. 6 bags of 3 pounds would cost $30. You can also get 3 2-pound bags to get to 36. Cost is reached. 6+3 = 9. Number of bags reached.
six 3-pound bags
janice is asked to solve0=64x^2+16x-3 what is x
Answer:
x=-1/8 or 3/8
Step-by-step explanation:
64x^2+16x-3=0
By Mid term breaking
64x^2-24x+8x-3=0
8x(8x-3)+1(8x-3)=0
(8x+1)(8x-3)=0
Either
8x+1=0 OR 8x-3=0
8x=-1 OR 8x=3
x=-1/8 OR x=3/8
What is the circumference of a tire with a radius of 22 centimeters
Answer:
Step-by-step explanation:
circumference= 2πr
= 2*[tex]\frac{22}{7}[/tex]*22
= 44*[tex]\frac{22}{7}[/tex]
= 968/7
= 138.28 cm
Answer:
Circumference of the Tire is [tex]138.16cm[/tex]
Step-by-step explanation:
Circumference of any figure is the total length of its boundaries.
Considering the tire as a circle.
Given:
radius of the tire= [tex]22cm[/tex]
circumference of a circle = [tex]2\pi r[/tex]
[tex]=2*\pi *22\\\\=44*\pi\\\\ =44(3.14)\\\\=138.16cm[/tex]
So, the circumference of the Tire is [tex]138.16cm[/tex]
Jolie uses the childcare facilities at her gym. Her monthly dues are $32, and childcare is $9 per visit. This month, she does not
wish to spend more than $122 for both dues and childcare. If x represents the number of times she can use childcare services,
which of the following inequalities symbolizes this situation?
A.
$32x+ $9 > $122
B. $32x + $9 < $122
C. $9x + $32> $122
D. $9x + $32 < $122
Answer:
The answer is D
Step-by-step explanation:
Answer:
D. $9x + $32 < $122
Step-by-step explanation:
given :
x is the number of visits
$9 is the cost per visit
$32 is the monthly dues
the amount she pays each month
= monthly dues + (cost per visit x number of visits)
= 32+ 9x (rearrange)
= 9x + 32
given that she does not wish to spend more than $122, that means she wants to spend LESS than $122, i.e
amount spent < $122
or
9x + 32 < 122 (answer D)
I need help with this question
Answer:
You should disagree with the student's claim.
The number of revolutions during a five-mile ride is 323.4
A school football team is selling raffle tickets As a fundraiser it cost them $155 to print the tickets and they would like to make at least a $2500 profit how much money do they need to raise to cover the cost of the printing and meet their goals
Answer:
They need $2655 to raise to cover the costs of the printing and meet their goal.
Step-by-step explanation:
Consider the provided information.
As a fundraiser it cost them $155 to print the tickets and they would like to make at least a $2500 profit
Let x (in dollar) represents the fund raised.
The money spent on printing ticket is $155.
The profit they would like to make at least is $2500.
Therefore, the required inequality is:
[tex]x-155\geq 2500[/tex]
Simplify the inequality.
[tex]x\geq 2500+155\\x\geq 2655[/tex]
Therefore, they need $2655 to raise to cover the costs of the printing and meet their goal.
4/6 x - 6 = - 24
Solve for X
Answer:
-27
Step-by-step explanation:
4/6x-6=-24
+6 +6
4/6x=-18
6/4×4/6x=-18×6/4 ->multiply by reciprocal to get rid of x
x=-108/4
x=-27
Janelle ate 82% of the pie. What fraction of the pie remained? help meee
Answer:
There is 18% left of the pie.
Step-by-step explanation:
There is only 100% of a pie. If she at 82% then there is 18% left. 100-82=18
Answer:
9/50
Step-by-step explanation:
for a percentage to turn into a fraction all u have to do put the percent over 100 so in this case first subtract total 100-82= 18% so then 18/100 simplified it would be 9/50
How do you change 2/5 to a precent
Answer:
40%
Step-by-step explanation:
Percent is how much out of 100.
We have 2/5, so find equivalent fractions:
2/5 = 4/10 = 40/100
2/5 = 40%
Given the following geometric sequence, find the common ratio: {16, 64, 256, ...}.
Answer:
The common ratio is 4
Step-by-step explanation:
We need to divide a term by the previous term to find the common ratio in a geometric sequence:
64 ÷ 16 = 4
256 ÷ 64 = 4
By doing it twice we can confirm that the common ratio is 4
Given the following geometric sequence, the common ratio would be 4.
Marco has baked and frosted 4 dozen heart-shaped sugar cookies to bring to his class party. He wants to
put 3 gumdrops on each cookie. He has 4 bags of 40 gumdrops. Does he have enough gumdrops to put 3
on each cookie? Explain.
Answer:
16Step-by-step explanation:
4 x 12=48 48 divided by 3=16