Answer:
21 feet tall and 28 feet wide
Step-by-step explanation:
Tony wants to build a fence around his rectangular garden that has
dimensions 20 ft by 35 ft. His fence posts need to be placed 5 ft apart.
How many posts will Tony need to buy?
posts
Answer:
22
Step-by-step explanation:
The side of the rectangle that is 20 feet divide it by 5
[tex]\dfrac{20}{5}=4[/tex]
Now we add one to this as the fence post each required in each 5 feet section.
The same is the case for the opposite side.
So, the number of fence posts for the 20 feet sides is [tex]5+5=10[/tex]
Now for the 35 feet side
[tex]\dfrac{35}{5}=7[/tex]
Remove 1 fence post from the ends as that fence post will be covered by the ones on the 20 feet side.
So, new posts on the 35 ft side is 6.
So, the number of fence posts for the 20 feet sides is [tex]6+6=12[/tex]
Total number of posts is [tex]10+12=22[/tex]
Xander goes to the movies with his soccer team. Each team member buys a ticket and two
boxes of popcorn. There are 13 team members.
Let t represent the cost of a ticket and p represent the cost of a box of popcorn.
a) Write two different expressions that represent the total amount the team spent.
b) Explain how each expression describes the situation in a different way.
Given that, the cost of a ticket = t and
cost of a box of popcorn = p.
Total members in the team = 13
As each team member buys 1 ticket and 2 boxes of popcorn, so, the amount spent by one member, [tex]C_1 = t+2p[/tex]
So, the total amount that the team spent [tex]= 13C_1[/tex]
(a) So, the first expression, representing the total amount spent by the team, is
[tex]13\times (t+2p)\cdots(i)[/tex]
On simplification, the second expression, representing the total amount spent by the team, is
[tex]13\timest + 13\times (2p)[/tex]
[tex]=13t+26p\cdots(ii)[/tex]
(b) The expression from the equation (i) represent the total amount spent as 13 times the expenses of one member, while equation (ii) is the sum of two terms where the first term, 13t, represents the total amount spent for buying the ticket and the second term, 26p, represents the total amount spent for buying popcorn
Help!!!! Teah was selling candy bars for a fundraiser. She spent $25 on a box of candy bars and sold each candy bar for $2.50. Her profit was $75. Teah wrote the equation 2.5c−25=75 for this situation, and she found c=40.
Which statement is true about the solution c=40?
1. The solution c=40 is the amount in dollars that Teah spent on a box.
2. The solution c=40 is the number of candy bars Teah sold.
3. The solution c=40 is the selling cost of each candy bar, in dollars. (Wrong)
4. The solution c=40 is the profit in dollars Teah made from each candy bar.
5. The solution c=40 is the selling cost of a box of candy bars, in dollars.
Answer:
The answer is 2
Step-by-step explanation: It is 2 because you can just use the process of elimination 1 is wrong because you know how much she spent on a bod $25 and 3 is wrong because she is selling the candy bars for $2.50 we know that the story tells us that and 4 is wrong because the story tells us her profit was $75 not $40 and 5 is wrong because we already know the selling cost of a box of candy bars in dollars $25 so when you use the process of elimination trick you only have 1 answer left and that's 2.
2 is the answer
The weight of an object on the moon is of its weight on Earth. Write 1/6 as a decimal.
Answer:
1/6 as an decimal would be, 0.1666 Continued
Step-by-step explanation:
Answer:
0.1666 continuing
Step-by-step explanation:
This is 1/6 as a decimal
Oscar is landscaping his yard. He is putting mulch in the flower beds to help minimize weeds. He has 4 1/4 bags of mulch in his shed to use. Each bag of mulch will cover 70.8 ft.2. If Oscar uses all of the mulch that he has, how many sq. ft. will it cover? a 75.05 ft.2 b 282 ft.2 c 300.9 ft2 d 284 ft.2
Answer:
c) 300.9 ft²
Step-by-step explanation:
He has 4 1/4 bags of mulch in his shed to use. Each bag of mulch will cover 70.8 ft².
Hence:
1 bag of mulch = 70.8ft²
4 1/4 bags of mulch = x ft²
Cross Multiply
1 bag × x ft² = 4 1/4 × 70.8
x ft² = 4 1/4 × 70.8/1
x = 300.9 ft²
Option c is correct.
bruh no one is helping me with my questions anymore so could someone please help me on this :/
which of these statements are true
1. Vertical angles formed by intersecting lines are directly across from each other and are sometimes congruent.
2. An angle bisector divides an angle into two congruent angles
3. A midpoint divides a line into two congruent lines.
4. Perpendicular lines form congruent right angles.
5. An angle measuring 225 degrees is obtuse.
6. If two angles form a linear pair, then they are complementary.
Answer:
6,4,3,2
Step-by-step explanation:
Suppose Sine (x) = negative three-fifths and cos(x) < 0. What the value of cos(2x)?
Answer:
[tex]-\frac{7}{25}[/tex]
Step-by-step explanation:
Value of given trigonometric ratio is equals to [tex]cos (2x) = \frac{7}{25}[/tex].
What is trigonometric ratio?" Trigonometric ratio is defined as in the right triangle the ratio which represents the relation between sides of a triangle with acute angle of a triangle."
Identity used
[tex]sin^{2} x +cos^{2} x =1\\ \\cos (2x) = cos^{2} x - sin^{2} x[/tex]
According to the question,
Given value of trigonometric ratio,
[tex]sin x = \frac{-3}{5} \\\\cosx < 0[/tex]
Substitute the value of [tex]sin x[/tex] in the above identity of trigonometric ratio,
[tex](\frac{-3}{5} )^{2} + cos^{2} x=1\\\\\implies cos^{2}x = 1- \frac{9}{25}\\ \\\implies cos x = \sqrt{\frac{16}{25} } \\\\\implies cos x = \frac{-4}{5} , cos x < 0[/tex]
Substitute the value of [tex]sin x[/tex] and [tex]cos x[/tex] the trigonometric identity ,
[tex]cos (2x) =( \frac{-4}{5})^{2} - ( \frac{-3}{5})^{2}\\\\\implies cos (2x) = \frac{16}{25}- \frac{9}{25} \\\\\implies cos (2x) = \frac{7}{25}[/tex]
Hence , value of given trigonometric ratio is equals to [tex]cos (2x) = \frac{7}{25}[/tex].
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The seventh grade class help an end of the year dance. Of the 300 seventh graders, 240
decided to attend. What percent of the seventh grade class attended the end of the year dance?
Answer:
80 percent
Step-by-step explanation:
Dvide 300 by 240 which gives you 80 percent the amount of students that atended.
Answer:
80%
Step-by-step explanation:
240/300=.8
.8=80%
2x+3=17 and x =7
It’s for algebra class please help my teacher is really strict but okay please thank u a lot
Answer:
The equation is true/ or an identity
Step-by-step explanation:
Plug in 7 for x, you get
2(7)+3=17
14+3=17
17=17
Answer:
14+3=17or(2*7) +3=17basically 17=17Step-by-step explanation:
2x+3=17 and x =7
Let's Substitute:(Because the variable is x and we have a value for it which is 7)(Bold and underlined is where the variable is in the equation)Since x is equal to 7 we are going to substitute it in the equation.
So: (2*7) +3=1714+3=17I think this is the answer since already having the value of x is an answer please let me know if I am wrong or answered incorrectly so I can change my answer or let everyone know its wrong so it can be deleted. I only want to spread truthful information and assistance so let me know how I did by rating the answer, saying thanks or reporting it so I can improve.
Everyone Can Learn and will never stop learning!
Thank you! Hope this helps!Question 2 (5 points)
(07.02)
Simplify (3x - 5) + (3x + 6). (1 point)
Оа
бx - 1
Oь
1
Ос
бx - 11
Od
бx + 1
Answer:
Option d: 6x +1
Step-by-step explanation:
Write the number as a power of 5. 125^3
Answer:
5^9
Step-by-step explanation:
125=5*5*5
125^3=125*125*125
125*125*125=3*(5*5*5)
the answer 5^9
The number as a power of 5 which is obtained by the number 125^3 using the power rule and simplifying is 5⁹.
What is the power rule?The power rule states that, when the term is raised with a power which is again raised by another power, then this can be simply written as one power by multiplying both the power.
It has to write the number 125³ as a power of 5. Let the resultant number as a power of 5 is n. Thus,
[tex]n=125^3[/tex]
Rewrite the number with multiples of 125.
[tex]n=(5\times5\times5)^3\\n=(5^3)^3[/tex]
By the power rule, the above expression can be rewritten as,
[tex]n=(5)^{3\times3}\\n=(5)^{9}\\n=5^9[/tex]
Thus, the number as a power of 5 which is obtained by the number 125^3 using the power rule and simplifying is 5⁹.
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The quadrilateral shown is a rhombus. What is m∠4?
A) 28°
B) 32°
C) 58°
D) 90°
In a rhombus, both pairs of opposite angles are congruent
so m<4=32 degrees
so your answer is 32 DEGREES
what place does the three sit at in 43,628,698,591
Answer:
Billion
Step-by-step explanation:
In 43,628,698,591 the three is in the Trillion spot.
One, Ten, Hundred, Thousand, Ten Thousand, Hundred Thousand, Million, Ten Million, Hundred Million, Billion.
There are 9 #’s after the 3 which means it is billions :)
The high school decided to buy new uniforms for the girls' and boys' basketball teams. They plan to buy 35 uniforms with a total cost of $1,235. The store offers discounts based on the number of items the school buys, as shown. What will the discounted price be for the high school?
Answer:
1049.75
Step-by-step explanation:
take 15% off of 1235 or 1235 divided by 15%
The discount will be 15% and the discounted price is $1049. 75
What is discount?A discount is a price reduction you offer a customer. There are also other methods that you can use to attract customers.
Given:
price for 35 uniforms = 1235
as, there is 15% discount for the items 25- 49 items.
So, there is 15% discount for 35 uniforms
Thus, the discounted price is
=1235 (1- 15%)
=1235 (1- 0.15)
=1235 x 0.85
= $1049. 75
Hence, the discounted price is $1049. 75.
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10 POINTS!!!
PLEASE HELP:(
I know it’s really easy but i’m super confused. Can anyone help???
Answer:
t=1/5d
Hope this helps! :)
Solve the following system of equations. y + 5x = 30 2y = 5x + 15
Answer: Solve 2y-5x-30 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 2y-5x-30 = 0 and calculate its properties
Step-by-step explanation:
Answer:
x = 3, y = 15
Step-by-step explanation:
Given the 2 equations
y + 5x = 30 → (1)
2y = 5x + 15 → (2)
Subtract 5x from both sides in (1)
y = 30 - 5x → (3)
Substitute y = 30 - 5x into (2)
2(30 - 5x) = 5x + 15 ← distribute left side
60 - 10x = 5x + 15 ( subtract 5x from both sides )
60 - 15x = 15 ( subtract 60 from both sides )
- 15x = - 45 ( divide both sides by - 15 )
x = 3
Substitute x = 3 into (3) for corresponding value of y
y = 30 - 5(3) = 30 - 15 = 15
Thus solution is x = 3, y = 15
What do I put in those blank spaces? Been doing this for hours
Answer: okay so this is what I think is the answer I used a calculate so
Step-by-step explanation:
$12.05
$24.08
$36.12
$48.16
$60.20
Step-by-step explanation:
1 hour 2 hours 3 hours 4 hours 5 hours
$12.04 $24.08 $36.12 $48.16 $60.20
Look at the table
What is the ratio of cows to horses?
pwease help me
Answer:
5:8 is the ratio of cows to horses.
Please help me answer this question 17
Answer:
∠AEC = 139°
Step-by-step explanation:
EC bisects ∠BED. This means that the line EC cuts the angle in half, so ∠BEC = 4x + 1
4x - 10 = p+ 3x - 2x what is the value of x
Answer: if you need more let me know
what is the property
3• 1/3 =1
Answer:
True
Step-by-step explanation:
3 • 1/3 = 1
~Turn the whole number into a fraction
3/1 * 1/3 = 1
~Multiply
3/3 = 1
~Simplify
1 = 1
Best of Luck!
this half my grade i cant fail help
Let's see what to do buddy....
[tex]T = b + \frac{d}{2f} \\ [/tex]
Subtract sides b
[tex]T - b = b - b + \frac{d}{2f} \\ [/tex]
Simplification
[tex]T - b = \frac{d}{2f} \\ [/tex]
Multiply sides by 2f
[tex](T - b)(2f) = d[/tex]
So ;
[tex]d =( T - b) \times (2f)[/tex]
We're done but i wanna go one step more...
[tex]d = T \times 2f - b \times 2f[/tex]
[tex]d = 2Tf - 2bf[/tex]
_________________________________
Hope helped buddy....♥️♥️♥️♥️♥️
Good luck :)
The variables x and y are related proportionally. When x =6, y = 10. Find y when x = 57.
When X = 57, y =
fill in the space to complete to equality:
3v-v²=v(__)
Answer:
3v-v² = v(3-v)
Step-by-step explanation:
Use distributive property on the right side of the equality.
Jim has an annual salary of $96,000. His monthly expenses include a $2,500 mortgage payment, a $250 lease
payment, $500 in minimum credit card payments, and a $425 payment on his speed boat. He also receives $1,200 in
interest from his savings and other accounts each month. Calculate Jim's DTI (debt-to-income) ratio.
a. 30%
b. 35%
c. 40%
d. 45%we
Answer:
40%
Step-by-step explanation:
(c) in Edge2020
The Debt to Income Ratio of Jim is 40%
Data;
Annual Income = $96,000 + (1200 * 12) = $96000 + 14400 = $110,400Mortgage payment = $2500 * 12 = $30,000Lease payment = $250Speed boat = $425 Credit card = 500 * 12 = $6000Debt To Income RatioThis is calculated as the sum of his total expenditures or liabilities to his total asset and expressed as a percentage.
Total liabilities is calculated as
[tex]30,000 + 5100+3000+ 6000 = $44100[/tex]
The DTI can be calculated as
[tex]DTI = \frac{44100}{110400}*100\\DTI = 39.94 *100\\DTI = 40 \%[/tex]
From the calculations above, the DTI of Jim is 40%
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Write four different equations that have –3 as the solution.
Pls help I'll mark u brainliest
Answer:
1-4
2-5
3-6
4-7
Step-by-step explanation:
Answer:
1 ) 5 - 82 ) -9 + 63 ) 6 ÷ -24 ) 1 × -3Step-by-step explanation:
5 - 8 = -3
-9 + 6 = -3
6 ÷ -2 = -3
1 × -3 = -3
You can check the calculator if you don't believe me!
Hope this helps! <3
Gary recently went to the local grocery market to purchase some tomatoes. He bought 4 pounds of tomatoes for $5.96. How much is one pound of tomatoes?
Group of answer choices
$1.59
$1.49
$1.39
$1.69
Find the distance between the two points rounding to the nearest tenth (if necessary). (8,-9) and (2,-7)
Answer: 6.32 units
Step-by-step explanation: You count the distance and get 6.32 units.
Interce
Determine the intercepts of the line.
Y=-9x-14
Answer:
y= -14 x= -1.556
Step-by-step explanation:
graphing calculator is good
2y + 4 = x + 2
Plz help solve for x in terms of y
Answer:
x=2y+2
Step-by-step explanation:
Answer:
2y + 2 = x
Step-by-step explanation:
Treat is like a normal equation and solve with inverse operations:
2y + 4 = x + 2
-2 -2
2y + 2 = x