Answer:
Story: Mr. Lanre bought 8 apples for $2. What is the cost of each apple.
Step-by-step explanation:
Given
[tex]Answer = \frac{1}{4}[/tex]
Required
Write a division story
A division story could be:
Mr. Lanre bought 8 apples for $2. What is the cost of each apple.
Solving the above problem, we have:
[tex]Apples = 8[/tex]
[tex]Total\ Cost =\$2[/tex]
The cost of each is:
[tex]Each = \frac{Total\ Cost}{Apples}[/tex]
[tex]Each = \frac{2}{8}[/tex]
Simplify fraction
[tex]Each = \frac{1}{4}[/tex]
On a recent utility bill, the water/sewer/garbage portion of the bill was $91.22. This consisted of 74%
of the total bill. To the nearest cent, what was the total amount of the utility bill?
The total amount of the utility bill is $
Answer:
74%->91.22
100%-> 123.27(estimated)
The total amount of the utility bill will be $123.2.
What is the percentage?The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.
Given that on a recent utility bill, the water/sewer/garbage portion of the bill was $91.22. This consisted of 74% of the total bill.
The total amount will be calculated as below:-
74% ⇒ $91.22
1% ⇒ 91.22 / 74
100% ⇒ ( 91.22 x 100 ) / 74
100% ⇒ $123.27
Therefore, the total amount of the utility bill will be $123.2.
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help pls i really need help
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Explanation:
1/3 converts to the decimal form 0.333333... where the 3's go on forever
5/3 is a similar story but 5/3 = 1.666666.... where the '6's go on forever
The notation [tex]0.\overline{6}[/tex] indicates that the 6's go on forever.
So, [tex]0.\overline{6} = 0.666666\ldots[/tex]
The horizontal bar tells us which digits repeat. As another example, [tex]0.\overline{123} = 0.123123123123\ldots[/tex]
The three dots just mean "keep this pattern going forever".
----------
Everything mentioned so far has the decimal portions go on forever repeating some pattern over and over.
The only one that doesn't do this is 33% which converts to the decimal form 0.33
The value 0.33 is considered a terminating decimal since "terminate" means "stop". So this is the value that doesn't fit in with the other three items mentioned.
Find the distance between the points L(7, -1) and MC – 2, 4).
Answer:
The distance between the points
d = LM = 10.24
Step-by-step explanation:
Step(i):-
Given that the points are L ( 7,-1) and M (-2,4)
The distance formula
LM = [tex]\sqrt{(x_{2} -x_{1})^{2} +(y_{2} -y_{1} )^{2} }[/tex]
Step(ii):-
[tex]LM= \sqrt{(-2-7)^{2} +(4-(-1) )^{2} }[/tex]
LM = [tex]\sqrt{(-9)^{2} +(5)^{2} }[/tex]
LM = √106
LM = 10.29
The distance between the points
d = LM = 10.24
I need help with this
look at picture
Complementary angles
Step-by-step explanation:
80° - x + 80° = 90° { being complementary angles }
160° - x = 90°
x = 180° - 90°
x = 70°
This probability distribution shows the typical grade distribution for a Geometry course with 35 students. HELLLPPP PLSSS
Answer:
P(A, B or C) = 6/7 or 0.8571
Step-by-step explanation:
From the image, we have the frequency for each grade as;
Grade A = 5
Grade B = 10
Grade C = 15
Grade D = 3
Grade F = 2
We want to find the probability that a student earns a grade of A, B or C.
Total frequency for A, B & C = 5 + 10 + 15 = 30
There are a total of 35 students overall for the geometry course.
Thus;
P(A, B or C) = 30/35
P(A, B or C) = 6/7 or 0.8571
Answer:
0.86Step-by-step explanation:
Total frequency for A, B & C = 5 + 10 + 15 = 30
There are a total of 35 students overall for the geometry course.
P(A, B or C) = 30/35
P(A, B or C) = 6/7 or 0.8571
now we round to the hundredths place
0.8571 ⇒ 0.86
In ΔQRS, r = 5.1 inches, s = 2.4 inches and ∠Q=26°. Find the length of q, to the nearest 10th of an inch.
Answer:
The length of QR to the nearest tenth of a foot is 287.28 feet.
Step-by-step explanation:
Let a right angled Triangle QRS have base SQ, perpendicular RS and Hypotenuse QR.
∠S = 90°
∠Q = 17°
Perpendicular = 84 ft
We know that for a right angle triangle
SinΘ = perpendicular/Hypotenuse
Sin ∠Q = 84/QR
QR = 84/sin(17°)
QR = 84/0.2924
QR = 287.2777
QR = 287.28 feet
The cosine rule is used to determine the length of side q. Then the length of side q is 5.34 inches.
What is trigonometry?Trigonometry deals with the relationship between the sides and angles of a triangle.
In ΔQRS, r = 5.1 inches, s = 2.4 inches and ∠Q=26°.
Then the length of q will be given by the cosine rule.
[tex]\rm q = \sqrt{r^2 + s^2 - 2rs \cos Q}\\\\q = \sqrt{5.1^2 + 2.4^2 - 2 \times 5.1 \times 2.4 \cos 26^o}\\\\q = \sqrt{26.01 + 5.76 - 24.48 \times 0.89879}\\\\q = \sqrt{50.49 - 22}\\\\q = \sqrt{28.49}\\\\q = 5.34 \ inches[/tex]
The length of the q is 5.34 inches.
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Increase 60kg by 25%
The area of the cirle is: | I
10 in
Answer:
Step-by-step explanation:
diameter = 10 in
radius = 5 in
area = π5² = 25π ≅ 78.5 in²
The prime factorization of a number is 3 x 4 x 4 x 4 x 7 x
7. What is the correct way to write this using exponential
notation?
Answer:
3 x [tex]4^{3}[/tex] x [tex]7^{2}[/tex]
Step-by-step explanation:
where is the most optimal position to send your bean bag in relation to opponent's bean bag?
Answer:
right side
Step-by-step explanation:
Mieko has 4 times as many pencils as Holden. Holden has 8 pencils.
How many pencils, p, does Mieko have?
Answer:
meiko has 32 pencils
Step-by-step explanation:
8×4=32
Meiko has 32 pencils.
What is an equation?An equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, Mieko has 4 times as many pencils as Holden. Holden has 8 pencils.
Let Mieko has x pencils,
Establishing the equation,
Therefore, according to question,
x = 4 × 8
x = 32
Hence, Mieko has 32 pencils
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Everyday Erin’s Orange stand uses 1 3/8 bags of oranges for how many days will 5 1/2 bags of oranges last
Answer:
0.0625 Days
Step-by-step explanation:
For 1 day Erin uses 1 3/8
1 day consumption is 11/8
11/2 bags of oranges would take
11/2 divided by 11/8
solve 5(x-1)^1/3 = 20
Answer:
x = 65
Step-by-step explanation:
To solve the equation, we write it in radical form:
[tex]5\, \sqrt[3]{x-1} = 20[/tex]
Then, we divide both sides by 5 to isolate the root:
[tex]\sqrt[3]{x-1} = \frac{20}{5} \\\sqrt[3]{x-1} =4[/tex]
and next, we raise both sides of the equation to the power 3 so as to free the expression in x from the root:
[tex]x-1=4^3\\x-1=64[/tex]
now we add 1 to both sides to isolate x:
x = 65
A carpenter charges $630 for 14 hours of work. She charges the same
amount of money for each hour of work.
Which table shows the relationship between the amount of time the
carpenter works and the amount of money she charges?
the graph would go up 45$ per hour of work if she is charging a per hour rate
Step-by-step explanation:
becouse she charges 630$ per 14 hours you would do 630÷14 which =45$
the 45 represents the hourly rate
the graph should spike every hour mark.
What is the common denominator of 3/4 and5/8
Answer:
the common demonator is 8.
Step-by-step explanation:
What is the surface area of this right rectangular prism?
The denominator of a fraction is two more than twice the numerator. If both numerator and denominator are decreased by three, the simplified result is 13
. Find the original fraction. (Do NOT simplify.)
Answer:
26/2
Step-by-step explanation:
trying to help my kid
Answer:
2/(3a^(1/3))
Step-by-step explanation:
The derivative of g(x) = 2/(3x^(1/3))
you get this by bringing the exponent of g(x) down and the new exponent is (2/3) - 1 .
Then replace x with a
ABC is a three digit number where each number represents a different digit. If A < C what is the greatest possible number?
Answer:
879
Step-by-step explanation:
Because C is greater than A, C has to be the largest possible number so that A can be as large as possible. because C is the largest possible number, which is 9, the next largest number is 8, which in this case is A. The next biggest number is 7 which is B.
To sum it all up, the number is 879.
1/2, 7/12 ,2/3,3/4 what’s the next fraction ?
Answer:
Step-by-step explanation:
1/2 = 6/12
7/12= 7/12
2/3= 8/12
3/4= 9/12
5/6 = 10/12 the next fraction
Wilbert needs a student loan to finish school. He needs $4200 and has two options.
Option A: 4 years at 4.5% interest with monthly payments of $95.77 and total payback of $4,596.96
Option B: 3 years at 4.7% interest with monthly payments of $125.31 and total payback of $4, 511.16
Which loan should Wilbert choose and how much will Wilbert save with that loan?
Answer:
85.8
Step-by-step explains
4596.96-4200=396.96
4511.16--4200=
396.96-311.16=85.8
so 85.8 and b
Find the slope of a line that contains (-4, 7) and (-9, -2)
PLS, I NEED HELP! Translate this sentence into a compound inequality with math symbols.
Springfield’s monthly temperatures range from a high of 101o F to a low of – 8o F.
Answer:
8o F at least I'm pretty sure 101o F ≥ 8o
Step-by-step explanation:
Correct me If im wrong
!! PLEASE HELP, TIMED!!Multiple choice, BRAINLIEST for correct answer
Answer:
I dont see the question
Step-by-step explanation:
soryy
Show me how to work this out please
Answer:
it's A
Step-by-step explanation:
the reason why it's A is that X can not have to repeating numbers
A resort hotel offers two weekend specials.
Plan A : 3 nights with 6 meals for $264
Plan B :3 nights with 2 meals for $218
these rates, what is the cost of
one night's
lodging and what is the average cost per meal?
assume there's no discount for 6 years.) help
Answer:
$44 per 1 meal
Step-by-step explanation:
Why are there so many songs about rainbows
And what's on the other side?
Rainbows are visions, but only illusions
And rainbows have nothing to hide
So we've been told, and some choose to believe it
I know they're wrong, wait and see
Someday we'll find it, the rainbow connection
The lovers, the dreamers, and me
Who said that every wish would be heard and answered
When wished on the morning star?
Somebody thought of that, and someone believed it
Look what it's done so far
What's so amazing that keeps us stargazing
And what do we think we might see?
Someday we'll find it, the rainbow connection
The lovers, the dreamers, and me
All of us under its spell
We know that it's probably magic
Have you been half asleep, and have you heard voices?
I've heard them calling my name
Is this the sweet sound that calls the young sailors?
The voice might be one and the same
I've heard it too many times to ignore it
It's something that I'm supposed to be
Someday we'll find it, the rainbow connection
The lovers, the dreamers, and me
La-da-da, de-da-da-do
La-da-da-da-da-de-da-do
Answer:
You can’t see a rainbow from the other side. There is no other side. A rainbow happens when light is reflected from water droplets. If you get to the other side of the rain and look back, you can’t see the reflection. It would be like going behind a movie projection screen. You can’t see anything from the back side.
Step-by-step explanation:
simplify
6x²+x-2/2x²+x-1
Answer:
[tex]5x^{2} +2x-1[/tex][tex]5x^{2}+2x-1[/tex]
Can someone help me ASAP
Answer:
x= (-∞,∞)
Step-by-step explanation:
x could be any value and make this equation true
8. A drug and placebo were tested on 23 people each to study their effect on cholesterol. The mean cholesterol levels with the people on the new drug are 195 and SD of 35. The values for placebo sample are 245 and SD of 31. Using 5% level of significance, does the drug have effect on lowering the cholesterol.
Answer:
The drug have effect on lowering the cholesterol.
Step-by-step explanation:
H₀ : μ₁ - μ₂ = 0
⇒ H₀ : μ₁ = μ₂
H₁ : μ₁ - μ₂ < 0
⇒H₁ : μ₁ < μ₂
Now,
given , n₁ = 23 , n₂ = 23
∴ Degree of freedom = v = n₁ + n₂ - 2
= 23 + 23 - 2 = 44
⇒v = 44
Now,
Given, level of significance = 5% = 0.05
For the given significance level, critical time t = 1.68
As
Decision rule states that'if t < 1.68 , reject H₀
Now,
For Drug:
mean = m₁ = 195
SD = d₁ = 35
People = n₁ = 23
For placebo :
mean = m₂ = 245
SD = d₂ = 31
People = n₂ = 23
Now,
Variance = [tex]\frac{(23-1)35^{2} + (23-1)31^{2} }{23 + 23 - 2}[/tex] = 1093
Standard Deviation, S = 33.06
Point estimate = m₁ - m₂ = 195 - 245 = -50
Standard deviation error = S×([tex]\frac{1}{n_{1} } + \frac{1}{n_{2} }[/tex] ) = 9.75
Now,
Test statistics = [tex]-\frac{50}{\sqrt{9.75} } = -5.13[/tex]
⇒ t < 6.13
⇒Reject H₀
⇒The drug have effect on lowering the cholesterol.