Tyrod needs at least $820 to buy the computer he wants. He has already saved $330. He earns $50 per lawn that he cuts. What is the least number of lawns that he can cut and buy the computer? Which inequality represents the problem?
Answers
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The equation representing the given statement is ~
[tex]50x + 330 \geqslant 820[/tex]The least number of lawns that he can cut and buy the computer is 10 lawns ~
[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
Total savings should be greater or equal to $ 820 in order to buy the computer,
And his total savinga is equal to ~
Money he saved + money got from cutting lawns.
let's assume the lawns cut by Tyrod be x,
Money earned by cutting lawns is equal to
total number of lawns cut × $5050xtotal savings is equal to ~
330 + 50xhence,
[tex]50x + 330 \geqslant 820[/tex]by solving for " x (number of lawns cut) " we get ~
[tex]50x \geqslant 820 - 330[/tex][tex]50x \geqslant 490[/tex][tex]x \geqslant 490 \div 50[/tex][tex]x \geqslant 9.8[/tex]Hence, the least number of lawns he has to cut is the number that is greater than 9.8, which is
[tex]10[/tex]Related Questions
Which graph is not a function ? Why isn’t it ?
Answers
Answer:
Graph 2
Step-by-step explanation:
Graph two is not a function because it does not pass "the vertical line test", which is a method of determining if a graph is a function or not. To do this, we use our pen to check that for every x value there is only one y value. In graph two, however, this is not the case.
peter cuts a piece of string into three lengths one is 4.26cm long one is 7.54cm long and the third is 3.90cm long how long was the string before it was cut
Answers
Answer:
15.70cm
Step-by-step explanation:
add to get total
4.26+7.54+3.90
Answer is 15.70cm
Answer:
15.7 cm
Step-by-step explanation:
The 3 lengths are of 3 strings that used to make up 1 string, so add all 3 lengths to find the length of the string before it was cut.
Hi, I need help with this question. Pls, explain your answer.
Eric deposits $500 in a bank account that pays 3.5% interest, compounded yearly. Which type of function should he use to determine how much money he will have in the account at the end of 10 years?
(1) linear (3) absolute value
(2) quadratic (4) exponential
Answers
Answer:
(4) exponentialStep-by-step explanation:
According to given, the function is:
A = P(1 + r)ⁿor
A = 500(1 + 3.5/100)¹⁰ = 500*1.035¹⁰This is an exponential relationship
Correct choice is (4)
To determine the money Eric will have in his bank account, he needs to use an exponential function.
What is a compound interest?This is a type of interest that is compounded after time period it is said to be compounded. After that particular period, the interest is calculated and then added with the principle. For the next duration, the interest is calculated on the sum.
Here, to find the amount of money after 10 years, we need to use the formula S = P(1 + r)ⁿ.
Here, S = sum of money after the total period of investment.
P = Principle = $500, r = rate of interest = 3.5%, n = time period = 10 years.
Now, S = $500(1 + 3.5/100)¹⁰ = $500(1 + 0.035)¹⁰ = $500(1.035)¹⁰ = $705.3
Hence, after 10 years, Eric will have $705.3 in his bank account.
Learn more about compound interest here: https://brainly.com/question/25857212
#Tag #SPJ2
find the greatest common factor (GCF) OF each pair of number using continuous division
1.15 and 30
2.Cassandra is creating individual servings of dessert.She has 16 pili nut candies and 24 chocolates. If she wants each serving to be indentical with no food left over what is the greatest number of servings Cassandra can create.
Answers
Answer:
1. GCF is 15.
2. 8 servings
Step-by-step explanation:
1. Continuous Division
3 15 30
5 5 10
1 2
Multiply the factors in the left side (3 and 5)
= 15
Greatest Common Factor is 15
2. Continuous Division
2 16 24
2 8 12
2 4 6
2 3
Multiply the factors in the left side (2,2 and 2)
= 8
Greatest number of servings is 8
I need help with the whole problem
Answers
2(30)=60
60+30=90
Right angles = 90 degrees :)
5/8 divided by 3/5=????????????????????????????
Answers
Answer:
0.15
Step-by-step explanation:
Answer:
1 1/24
Step-by-step explanation:
Pls give brainly if right :) also not 11 its 1u 1/24
Solve each equation by completing the square.
X^2 +2x-5=0
N^2-20n+2=4
Answers
Step-by-step explanation:
x² + 2x - 5 = 0
that is the same as
x² + 2x + 1 = 6
(x + 1)² = 6
x + 1 = ±sqrt(6)
x = -1 ± sqrt(6)
x1 = -1 + sqrt(6)
x2 = -1 - sqrt(6)
n² - 20n + 2 = 4
this is the same as
(n - 10)² = 102
n - 10 = ±sqrt(102)
n = 10 ± sqrt(102)
n1 = 10 + sqrt(102)
n2 = 10 - sqrt(102)
how do i do this? geometry
Answers
Answer:
80?
Step-by-step explanation:
the total amount of degrees in a hexagon is 720. Divide that by 6 and you get 120. Each corner is 120. It doesnt have a right angle measure on it so it has to be lowerer then 90.
Use the properties of multiplication to solve.
(4 x 13) x 25
Answers
find the measure of angle 1 and angle 2. justify your answer
Answers
Answer:
∠ 1 = 95° , ∠ 2 = 130°
Step-by-step explanation:
∠ 1 = 95° ( alternate angles )
∠ 2 and 50° are same- side interior angles and sum to 180°
∠ 2 + 50° = 180° ( subtract 50° from both sides )
∠ 2 = 130° ( same- side interior angle )
Write an equation with the given information in slope- intercept form.
m=-1/2; y intercept (0,4)
Answers
Which of the following travel in waves? Select all that apply.
1. Air
2. Light
3. Scent
4. Sound
Answers
Answer:
Sound and Light
Step-by-step explanation:
Just did this and got it right!!
Hope it helps you!!! :)
Drag and drop the constant of proportionality into the box to match the table. If the table is not proportional, drag and drop "not proportional" into the box.
x 2 3 4 5
y 6 9 12 15
Answers
Answer:
The table is proportional.
Step-by-step explanation:
When you multiply x by 3 the answer is y.
2 x 3= 6
3 x 3= 9
4 x 3= 12
5 x 3= 15
Answer:
Whats the badword anwser when its been a year you need to tell us badword
Step-by-step explanation:
A 10-year-old and a 5-year-old both eat similar-sized apples. Which child burns the energy faster?
Answers
Answer:
10 year old
Step-by-step explanation:
because the 10 year old has a better developed body than a 5 year old.
Hope this helps, have a nice day/night! :D
Below are 2 similar triangles
The area of triangle A is 20cm^2 work out the area of triangle B
Answers
Which statement about the graphs of these two functions is true?
Answers
Answer:
Both graphs intersect the x-axis to the right of 0
Please help meee
Complete each statement. Explain why
it is true.
Answers
Answer:
It is true because it is true.
Step-by-step explanation:
Why else would it be false?
Can I get some help..please?
Answers
Answer:
-2 and 21/50
Step-by-step explanation:
PEMDAS says that paranthases go first, so we solve 2 and 1/5 minus 33/12. 2 and 1/5 simplifies to the improper fraction, 11/5. Then we find a common denominater between 11/5 and 33/12 to get 60. 11/5=132/60, and 33/12=165/60. (132/60)-(165/60)=-33/60. Then we multipl that by 4 and 2/5, which can simplify to the improper fraction, 22/5. (22/5)*(-33/60) is -726/300, and simplifies to -2 and 21/50. Hope this helps!
I need help plss!!!!!!!
Answers
Answer:
5/2
Step-by-step explanation:
are you the same dude I just answered or are two people taking the same test lol
c = x/y = 5/2
Which In this instance would be 5/2
Karly used 3.5cans of tomato sauce to make lasagna. Each can contains 10.5 ounces. How many ounces of tomato sauce is in the lasagna?
Answers
Answer:
31.75
Step-by-step explanation:
if there are 3.5 (or 3 and a half) cans in the lasagna and each holds 10.5 oz, you can use 3.5x10.5 to solve it.
SOLVE 11 AND 10 FOR POINTS NO LINKS ABSOLUTELY ALSO FOR 11 10 Answers may vary, however the
PRODUCT of the factors must equal......
Answers
Answer:
10. (-1, 7), (-7, 1)
11. (8, 4), (16, 2)
Step-by-step explanation:
10.Let x and y represent the two missing factors. Then you have ...
-3xy = 21
xy = -7 . . . . . . . divide by -3
Integer divisors of -7 are ±1, ±7, so possible factor pairs are (-1, 7), (-7, 1) and their reverse.
Of course, the only requirement is that the values be rational, so we could have (-1/4, 28), for example. One of the above factors can be multiplied by any rational number, and the other multiplied by its inverse.
__
11.If the two factors of interest are x and y, then the product of the three factors is ...
(-3/4)xy = -24
xy = (-4/3)(-24) = 32
Integer divisors of 32 are 1, 2, 4, 8, 16, 32. So, any of those, positive or negative, could be one of the (integer) factors you're looking for. On the attached graph, we have shown (x, y) pairs ...
(8, 4), (16, 2), (-4, -8)
There are an infinite number of possibilities.
Can someone reflect (7,6) across the x axis then reflect across the y axis
Answers
Answer:
(7, -6)
(-7, -6).............
..
Answer: -7,-6
Step-by-step explanation:
So if we look at a graph 7,6 is on the right upper quadrant since its completely positiv, once we relfect the x axis then it becomes 7,-6 then once we reflect across the why axis it finally becomes -7,-6
Write the line (-5,-6) with slope 2/5 in point-slope form
Answers
Answer:
[tex]y+6=\frac{2}{5} (x+5).[/tex]
Step-by-step explanation:
1) the common form of the point-slope form is y-y₁=s(x-x₁), where s - the slope, (x₁;y₁) - the point belongs to the required line;
2) if s=2.5; x₁= -5; y₁= -6, then the required equation is:
y+6=2/5(x+5).
Solve the system of equations by substitution.
3x + y = 9z
-5x + 2y = -4z
What is the value for y from the first equation, that could be substituted into the second equation?
-9z + 3x
3z + 9x
9z - 3x
-3x - 9z
Answers
Answer:
x = 1.27
y = 5.18
Step-by-step explanation:
to solve this system of equation by simultaneous equation we say that let
3x+y=9.............................. equation 1
-5x+2y=4 .......................... equation 2
from equation 1
3x+y=9.............................. equation 1
y = 9 -3x.............................. equation 3
substitute the value of y = 9 -3x into equation 2
-5x+2y=4 .......................... equation 2
-5x + 2( 9 -3x) = 4
-5x + 18 - 6x = 4
collect the like terms
18 - 4 = 6x + 5x
14 = 11x
divide both side by 11
14/11 = 11x/11
x = 14/11
x = 1.27
put the value of x = 1.27 into equation 3
y = 9 -3x.............................. equation 3
y = 9 - 3( 1.27)
y = 9 - 3.82
y = 5.18
to check if you are correct put the value of x and y into either equation 1 or equation 2.
3x+y=9.............................. equation 1
3( 1.27) + 5.18 = 9
3.81 + 5.18 = 9
9 = 9
Quadrilateral ABCD has the following
vertices:
A(2, 7)
B(8,1)
C(1, -9)
D(-6, -2)
Is quadrilateral ABCD a parallelogram, and
why?
Answers
Answer:
Yes
Step-by-step explanation:
Because it’s a trapezoid and those can be trapezoid because they have one pair of parallel sides and a parallelogram has two pairs of parallel sides so a parallelogram is also a trapezoid.
Happy late Thanksgiving!!!
Answers
Answer:
You too!!
Step-by-step explanation:
A ball is thrown directly upward from height of 2 ft with an initial velocity of 24 ft/sec. The function is s(t)=-16 t^2+24t+2 give the height of the ball, in feet, t seconds after it has been thrown. Determine the time at which the ball reflects its maximum height and find the maximum height.
Answers
Answer:
time: 0.75 secondsheight: 11 feetStep-by-step explanation:
A graphing calculator shows you the maximum height of 11 feet is reached after 0.75 seconds.
__
A quadratic of the form ax² +bx +c has its vertex at x=-b/(2a). Here that means the time to the maximum height is ...
t = -24/(2(-16)) = 24/32 = 3/4 . . . seconds to maximum height
The height at that time is ...
s(3/4) = (-16(3/4) +24)(3/4) +2 = (-12 +24)(3/4) +2 = 9 +2
s(3/4) = 11 . . . . feet at maximum height
ABCD is a rectangle. Its diagonals meet at O. Find the value of x if BO = 3x + 4 andOC = x + 8 .Also find the length of its diagonals.(Lengths are in cm).
pls help will mark as brainlist
Answers
Step-by-step explanation:
the lengths OB, OC & BC together forms a isosceles triangle.
therefore,
OB=OC
3x+4=x+8
2x=4
x=2.
OB = 3x+4= 3.2+4=10cm.
OC= x+8= 2+8=10cm.
therefore, the diagonals are : 20cm each.
hope this helps you.
1) Jack bought 5 basketballs for $70. What was the price per basketball?
Answers
Answer:
14
Step-by-step explanation:
70/5 = 14
solve for the wavelength frequency and energy then identify the type of electromagnetic wave to complete the table
Answers
Answer:
See attachment
Step-by-step explanation:
λν = c [Wavelength, λ (lambda), times frequency, ν (nu), equals the speed of light.]
c = 3.0 x 108 m/s.
E = hν
h = Plank's constant = 6.626x10-34 J-s
I put the data in a spreadsheet and calculated the values as per the equations above. The table showing the types of energy was not attached, so I left that column blank. I assume it is looking for labels such as UV, Visible, IR, Radio, etc.