Answer:
12.5 bagsStep-by-step explanation:
This problem is on the mensuration of flat shapes
Given
perimeter of lawn = 278 ft
width of lawn = 64 ft
1. we need to solve for the length of the lawn
2. we also we need to solve for the area of the lawn
perimeter of lawn= 2(width) + 2(length)
substituting our data we have
let the length be x
[tex]= 278= 2(64) + 2(x)\\\=278= 128+2x\\\=278-128= 2x\\\=150=2x\\\\\x=\frac{150}{2} \\\x= 75ft[/tex]
the length is 75 ft
the area of the lawn is [tex]75*64= 4800ft^2[/tex]
if a bag will cover[tex]384ft^2[/tex]
to cover the lawn we will need
[tex]\frac{4800}{384} \\=12.5 bags[/tex]
A taxi cab charges $1.75 for the flat fee and $0.25 for each mile. Write an in equality to determine how many miles Eddie can travel if he has $15 to spend. A. $1.75 + $0.25x ≤ $15 B. $1.75 + $0.25x ≥ $15 C. $0.25 + $1.75x ≤ $15 D. $0.25 + $1.75x ≥ $15
Answer:
A. $1.75 + $0.25x ≤ $15
Step-by-step explanation:
This is because if Eddie has 15 dollars, he can only use 15 dollars or less. So in this case, the inequality would have to be less than or equal to 15 dollars.
Eddie travel $1.75 + $0.25x ≤ $15 miles when he has $15 to spend.
Option A is the correct option.
Here,
Amount of flat fee of taxi cab = $1.75
Amount of charge for each miles = $0.25
The amount Eddie has to spent = $15
We have to find inequality relationship.
What is inequality?
The relationship between two values that are not equal is defined by inequalities.
Now,
Amount of flat fee of taxi cab = $1.75
Amount of charge for each miles = $0.25
The amount Eddie has to spent = $15
Let Eddie travel x miles.
Therefore, the total charge of taxi cab = $1.75 + 0.25x
And this amount should not exceed the $15 as it is the only amount Eddie has.
Hence the inequality relationship be,
$1.75 + 0.25x ≤ $15.
Option A is the correct option.
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II. Find the present value of $10,000 received at the start of every year for 20 years if the interest rate is J1 = 12% p.A. And if the first payment of $10,000 is received at the end of 10 years
Answer:
$26934.56
Step-by-step explanation:
The present value of an annuity is the current value of payments gotten from an annuity in the future, given a rate of return, or discount rate. The present value of an annuity (PVOA) is given by the formula:
[tex]PVOA=payment*\frac{[1-(1+r)^{-n}]/r}{(1+r)^{t-1}}[/tex]
n = 20 years, t = 10 years, r =12% = 0.12, payment = $10000
[tex]PVOA=10000*\frac{[1-(1+0.12)^{-20}]/ 0.12}{(1+0.12)^{10-1}}[/tex] = $26934.56
Miss penny inherits £450 she decides to save some of the money and spend the rest. The ratio of savings to spending money is 9:6 How much does she save and how much does she spend?
Answer:
she spent £270.
Step-by-step explanation:
First, let us define what a ratio of 9:6 means.
when you have a ratio such as this, you have to add both ratios first:
9+6 = 15
This means that out of every 15 parts, the ratio of the sharing is 9 parts to 6 parts.
Now let us solve the problem
Savings to spending = 9:6
if total amount = m
ratio saved = 9/15 × m
ratio spent = 6/15 × m
Now total amount (m) = £450
∴ ratio saved = 9/15 × 450 = 4050/15 = £270
Therefore she spent £270.
To calculate the amount saved, we simply subtract 270 from 450, or we use (6/15 × 450). You can try it out to see if you get the same answer, which is she spent £180
Find the value of x.
Please help
Answer:
x=5
Step-by-step explanation:
7/5=(2x-3)/x
5(2x-3)=7x
3x=15, x=5
Now your teacher is hosting a picnic for their family and discovers that 30 relatives are coming to the picnic and everyone wants to eat 2 hot dogs! What is the least number of packages of hot dogs and hot dog rolls that your teacher will have to buy to feed all her relatives?
Answer:
6 hot dogs package assuming she's buying a single package to contains 10 package or approximately 8 rolls if she buys the 8 package containing above 60 rolls of hot dogs.
In my opinion, she needs at least 8 package of hot dog rolls to make hot dogs for her guests.
Step-by-step explanation:
Hello,
There are typically 10 hot dogs in a single package. However some may contain 8 hot dogs rolls in a single pack so we'll solve for both in case which ever one she decides to buy.
My teacher is expecting 30 guests coming to the party and each 1 one them wants to eat 2 hot dogs.
To solve this question, we would first of all know the total number of hot dogs they'll probably eat at the party.
2 hot dogs = 1 person
y hot dogs = 30 people
y = (30 × 2) / 1
y = 60 hot dog.
Therefore, the guest would most likely consume at least 60 hot dogs at the party.
However, in a single hot dog package, it contains 10 hot dogs in it.
Now we'll have to find out the total number of hot dogs package my teacher needs to buy to prepare the hot dogs for her guests.
To do that, we'll have to divide the total number of hot dogs expected to be consumed by the total number of hot dogs in one package.
Number of package = total number of hot dogs expected to be consumed / total number of hot dogs in one package.
Number of package she needs = 60 / 10
Number of package she needs = 6
Therefore, my teacher requires 6 hot dog package.
But some hot dogs comes in 8 rolls per package
Using the same method above,
Number of rolls she needs = 60 / 8
Number of rolls she needs = 7.5 approximately 8 rolls
Devin’s friend Ryan lives 2 blocks west and 5 blocks south of Devin. Devin’s friend Andy lives 7 blocks east and 2 block north of Devin. How far do Ryan and Andy live from each other?
Answer:
Answer:
Ryan and Andy live 11.4 blocks from each other.
Step-by-step explanation:Devin’s friend Ryan lives 2 blocks west and 5 blocks south of Devin.Position of Ryan on coordinate system: 2 blocks west (2 unit left from origin) = -2 5 blocks south (5 unit down) = -5Coordinate of Ryan: (-2,-5)Devin’s friend Andy lives 7 blocks east and 2 block north of Devin. Position of Andy on coordinate system: 7 blocks east (7 unit right ) = 7 2 block north (2 unit up) = 2Coordinate of Andy: (7,2)We need to find the distance of Ryan and Andy.
Answer:
C.) 11.4
Step-by-step explanation:
Just took the test on Edge 2020
if 24 students took a test and 18 passed how much percent passed?
Answer:
75%
Step-by-step explanation:
6 x 4 = 24 so we make 24 into a fraction 24/24, then we make 18 a fraction as well, 18/24, then we simplify 18/24 = 3/4 = 75%
Answer:
%75
Step-by-step explanation:
this question is solved by establishing the correct proportion
24 - 18
100 - ?
(100*18)/24 = 75
Which relationship describes angles 1 and 2?
Select each correct answer.
complementary angles
supplementary angles
vertical angles
adjacent angles
Rob paid $50.15 for two pairs of jeans, which include a 15% discount. What was the price of one pair of jeans before the discount was added?
Answer:
$29.50
Step-by-step explanation:
The price that Rob paid includes a 15% discount. This means that Rob paid 85% of the original price.
100% - 15% = 85%
Divide the price Rob paid by the percentage the price is of the total.
85% = 0.85
50.15/0.85 = 59
Now, divide the total price by 2 so that you can find the price of one pair of jeans.
59/2 = 29.50
The price of one pair of jeans is $29.50
Square ABCD was translated using the rule (x, y) → (x – 4, y + 15) to form A'B'C'D'. What are the coordinates of point D in the pre-image if the coordinates of point D’ in the image are (9, –8)?
Answer:
D = (13, - 23 )
Step-by-step explanation:
Given the translation rule
(x, y ) → (x - 4, y + 15 )
To go in the reverse direction, that is image to original, then, reverse the operations in the translation rule.
(x , y ) → (x + 4, y - 15 ) , thus
D'(9, - 8 ) → D(9 + 4, - 8 - 15 ) → D(13, - 23 )
Answer:
(13,-23)
Step-by-step explanation:
DID IT ON EDGE 2020
Suppose $700 is being deducted each month to pay the mortgage.
After six months, how much money has been taken out of the
pay for the mortgage?
Answer:
$4,200
Step-by-step explanation:
700 x 6 = 4,200
find the coordinates of the vertices of the triangle after a reflection across the line x= -1 and then across the x-axis
Answer: C
Step-by-step explanation:
Reflection across x = -1
The simplest way to calculate the new coordinates is to draw x = -1, count how many units away the point is from x = -1, then count the same number of units from x = -1 in the OPPOSITE direction to find the reflection. (see attachment)
J = (0, 0) is 1 unit to the right of x = -1
J' = (-2, 0) is 1 unit to the left of x = -1
K = (1, 4) is 2 units to the right of x = -1
K' = (-3, 4) is 2 units to the left of x = -1
L = (3, 3) is 4 units to the right of x = -1
L' = (-5, 3) is 4 units to the left of x = -1
Reflection across x-axis
Change the sign of the y-value: (x, y) → (x, -y)
J' = (-2, 0) J'' = (-2, 0)
K' = (-3, 4) K'' = (-3, -4)
L' = (-5, 3) L' = (-5, -3)
Help me quickly I will give brainliest answer to who does it first, look at picture
Answer:
V = 54 π units³
OR
V = 169.6 units³
Step-by-step explanation:
Volume of a cylinder = [tex]\pi r^2 h[/tex]
V = (3.14)(3)²(6)
V = (3.14)(54)
V = 54 π units³
OR
V = 169.6 units³
What is the simplified form of the fraction below 15/25
Answer:
[tex]\frac{15}{25}[/tex] ÷ [tex]\frac{5}{5}[/tex] = [tex]\frac{3}{5}[/tex]
Answer:
3/5
Step-by-step explanation:
Both of them are multiples of five by dividing them u get the answer
3/5
Sue invests £9000 in an account for one year.
At the end of the year, interest is added to her account.
Sue pays tax on this interest at a rate of 20%
She pays £30.24 tax.
Work out the percentage interest rate for the account.
Answer:
£151.20
Step-by-step explanation:
20%= 100%divided by 5
To find 100% from 20% you x by 5
so you times 30.24 by 5
30.24x 5 = 151.2
So the answer is £151.20
interest percentage rate would be 1.6754%
The interest rate for the account is 1.68%
What is interest rate?The interest rate is the amount a lender charges a borrower and is a percentage of the principal the amount loaned.
Given that,
Sue invests £9000 in an account for one year.
She pays £30.24 at a rate of 20%
So, 20% of the interest = £30.24
Let the interest be x,
X0.2 = 30.24
X = £151.2
The total interest was = £ 151.2
The rate R at which generated this interest =
R = (100 × 151.2)/(1 × 9000)
R = 15120/9000
R = 1.68%
Hence, the interest rate = 1.68%
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find the value of A when pi= 3.142 and r= 5
Answer:
7.855
Step-by-step explanation:
A=pi*r^2=3.142*5^2=3.142*25=7.855
The value of A = 7.855 units.
What is area of circle?The area of a circle is π multiplied by the square of the radius. The area of a circle, (A) when the radius 'r' is given is πr2. π is approximately 3.142
Here, given that,
r= 5 units
Then, A=pi*r^2
=3.142*5^2
=3.142*25
=7.855
hence, the value of A = 7.855 units.
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A function models the growth of a sample starting with 40 bacteria with the ability to double every two hours. Which graph
models the function?
Answer:
The function is y = 40 * 2^(x/2)
The graph is in the image attached
Step-by-step explanation:
The function that models this growth is an exponencial function, that can be described with the following equation:
y = a * b^(x/n)
Where a is the inicial value, b is the rate of growth, x is the time and n is the relation between the time and the rate (the rate occurs for every two hours, so n = 2).
Then, using a = 40, r = 2 and n = 2, we have:
y = 40 * 2^(x/2)
If we plot this function, we have the graph shown in the image attached,
It is an exponencial graph, where the value of y increases very fast in relation to the increase of x.
Answer:
b
Step-by-step explanation:
edge2020
A ramp into a building forms a 6° angle with the ground. If the ramp is 8 feet long, how far away from the building is the entry point of the ramp? Round the solution to the nearest hundredth.
Answer:
7.96 ft
Step-by-step explanation:
Given;
Length of ramp L = 8 ft
Angle with the horizontal (ground) = 6°
Applying trigonometry;
With the length of ramp as the hypothenuse,
The horizontal distance d as the adjacent to angle 6°
Since we want to calculate the adjacent and we have the hypothenuse and the angle. We can apply cosine;
Cosθ = adjacent/hypothenuse
Substituting the values;
Cos6° = d/8
d = 8cos6°
d = 7.956175162946
d = 7.96 ft
The building is 7.96ft away from the entry point of the ramp.
There are x candies in a box. 8 of the candies are caramel-flavored and rest of them are strawberry-flavored. If the probability of randomly selecting a strawberry-flavored candy from the box is 1/3, find the total number of candies in the box.
Answer:
The answer is: 12 total candies
Step-by-step explanation
c = caramel-flavored
s = strawberry-flavored
so if there are 1/3 strawberry-flavored so that means there are 2/3 caramel-flavored. we know there are 8 caramel-flavored so if 8 is 2/3 of all the candies that means 4 is how many strawberry-flavored we have 12 total candies.
∠A and ∠B are complementary. If m∠B = 64° , what is the measure of ∠A?
26°
36°
11°
64°
Answer: 26
Step-by-step explanation:
Two Angles are Complementary when they add up to 90 degrees (a Right Angle). Then
∠A + ∠B = 90
∠A =90- ∠B
∠A = 26
Answer:
The measure of [tex]\angle A[/tex]:
[tex]\angle A = 26\textdegree[/tex]
Step-by-step explanation:
Since both [tex]\angle A[/tex] and [tex]\angle B[/tex] are complementary (Which they both add up to 90°), and you want to find the measure of
Measure of [tex]\angle A[/tex]: unknown
Measure of [tex]\angle B[/tex]: 64°
Finding the measure of [tex]\angle A[/tex]:
[tex]90 - 64 = 26[/tex]
[tex]\angle A = 26\textdegree[/tex]
So, the measure for [tex]\angle A[/tex] is [tex]26\textdegree[/tex].
!35 POINTS! Find the total surface area of the following prism!
Answer:
152
Step-by-step explanation:
Why is this still worth 18 points?
because if you math 12+273 it = 8281 or something free point thank
Solve tan^2 theta + 1 = -2 tan theta on the interval 0° ≤ θ ≤ 360°.
Answer:
Step-by-step explanation:
[tex]tan^2 \theta+1=-2 \tan \theta \\tan^2 \theta +2 tan \theta +1=0\\(tan \theta+1)^2=0\\tan \theta=-1=-tan 45=tan (360-45)=tan 315\\\theta =315 ^\circ[/tex]
Need help with this question
Answer: 30
Step-by-step explanation: To solve this problem, we're going to have to use the Pythagorean theorem...
a² + b² = c²
24² + 18² = c²
576 + 324 = c²
c² = 900
[tex]\sqrt{900}[/tex]
30
30 = c
I hope this helps!
make x the subject of the formula 6x+a=5(x+t)
Answer:
x= 5t - a
Step-by-step explanation:
6x + a = 5(x+t)
If you expand 5(x+t), you will get 5x + 5t
i.e. 6x + a = 5x + 5t
Add the additive inverse of 5x to both sides (The additive inverse of 5x is -5x)
i.e. 6x + a - 5x = 5x + 5t - 5x
x + a = 5t
Then, add the additive inverse of "a" to both sides (The additive inverse of a is -a)
i.e. x + a - a = 5t - a
x = 5t - a
Hope this helps!!!
A car travels 0.75 miles every minute.explain how you could use proportional reasoning too find how far the car travels in a hour
Answer:
The car travels 45 miles in one hour.
Step-by-step explanation:
Knowing that one hour is 60 minutes and that the car travels 0.75 miles every minute, you can multiply 60 and 0.75 which gives you 45 miles per hour meaning in one hour the car travels 45 miles.
solve ... 5x + 4 < 3 - 3x
The sides of a quadrilateral whose sides are 85cm 143cm 165cm and 85cm and one of the diagonals is 154cm
Answer:85cm is kept comstant for a while
Step-by-step explanation:
For 2nd part
1m 80 cm
=1×100cm+ 80 cm
=100cm+ 80 cm
=180cm
So
#According to question,
If both are added then,
=85cm+180 cm
=265cm
please brainlest
Step-by-step explanation:
7. 5x -6 = 3x + 14
8. 6x - 11 = 4x + 3
More and last question. Thanks YISREAL and HARRIETH!!!!!. More points for you people.
Answer:
Q1. x = 10
Q2. x = 7
Step-by-step explanation:
The steps are :
Q1.
[tex]5x - 6 = 3x + 14[/tex]
[tex]5x - 3x = 14 + 6[/tex]
[tex]2x = 20[/tex]
[tex]x = 20 \div 2[/tex]
[tex]x = 10[/tex]
Q2.
[tex]6x - 11 = 4x + 3[/tex]
[tex]6x - 4x = 3 + 11[/tex]
[tex]2x = 14[/tex]
[tex]x = 14 \div 2[/tex]
[tex]x = 7[/tex]
Answer:
[tex]x=10, \: x=7[/tex]
Step-by-step explanation:
[tex]5x -6 = 3x + 14[/tex]
[tex]5x -6+6-3x = 3x + 14+6-3x[/tex]
[tex]5x -3x = 14+6[/tex]
[tex]2x=20[/tex]
[tex]x=\frac{20}{2}[/tex]
[tex]x=10[/tex]
[tex]6x - 11 = 4x + 3[/tex]
[tex]6x - 11+11-4x = 4x + 3+11-4x[/tex]
[tex]6x-4x = 3+11[/tex]
[tex]2x=14[/tex]
[tex]x=\frac{14}{2}[/tex]
[tex]x=7[/tex]
Benjamin has 3 gallons of punch. He adds another 1··2gallon of juice to the punch. How many gallons of punch does he have now? How many cups? Explain your reasoning.
Answer:
4.2 gallons
67.2 cups
Step-by-step explanation:
He had 3 gallons of punch.
He added another 1.2 gallons.
The number of gallons of punch he has now is:
3 + 1.2 = 4.2 gallons
1 gallon = 16 cups
=> 4.2 gallons = 4.2 * 16 = 67.2 cups
He has 67.2 cups
The function f(x) is shown in the graph above
The function g(x) = -2x - 5
compare the slopes
A. The slope of f(x) is undefined and the slope of g(x) is negative
B. the slope of f(x) is the same as the slope of g(x)
C. The slope of f(x) is less than the slope of g(x)
D. The slope of f(x) is greater than the slope of g(x)
Answer:
B. the slope of f(x) is the same as the slope of g(x)
Step-by-step explanation:
B. the slope of f(x) is the same as the slope of g(x); that slope is m = -2.
Answer:
D ye
Step-by-step explanation:
