Answers
Here you go sry it took so long
All the answers to the various operations given from question 1 to 6 have been explained and answered below.
1) We want to use order of operations to solve;
105 - 7² + (72 ÷ 9)
From order of operations which is BODMAS.
First operation for our given expression is bracket. Thus;
72 ÷ 9 = 8
Thus, we now have;
105 - 7² + 8
Next is addition;
7² + 8 = 57
Thus, we now have;
105 - 57 = 48
2) 884284
- 349407
534877
3) 6 ÷ ²/₇
⇒ 6 × ⁷/₂
⇒ 21
4) Kevin makes $78.37 per day. Thus;
Amount he makes in 7 days = 78.37 × 7
⇒ $548.59
5) Product of 1389 and 6.58
⇒ 1389 × 6.58
⇒ 9139.62
6) We want to use distributive property to express 27 + 60.
Now, in distributive property, it implies that;
a(b + c) = ab + ac
Thus, let us get the greatest common factor of 27 and 60 and factorize it out.
GCF of 27 and 60 is 3. Thus;
27 + 60 = ((3*9) + (3*20))
⇒ 3(9 + 20)
⇒ 3(29)
⇒ 107
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Related Questions
Jill invests $7,972 in a retirement account with a fixed annual interest rate compounded continuously. After 15 years, the balance reaches
$16,876.72. What is the interest rate of the account?
Answers
The interest rate of Jill's account as described is; 0.51%
The amount invested by Jill is $7,972.
According to compound interest;
A = P {1 + (r/n)}^nt.In which case;
A = final amount = $16,876.72P = principal amount = $7,972r = interest rate = ?n = number of times interest is compounded per time = 1t = time = 15Therefore;
$16,876.72 = $7,972 (1 + r/1)^(1×15)$16,876.72/$7,972 = (1 + r/1)^(1×15)2.117 = (1 + r/1)^(1×15)[tex]1 + r = \sqrt[15]{2.117} [/tex]
1 + r = 1.051r = 1.051 - 1r = 0.051The interest rate is therefore; 0.51%
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Aiden receives a pay rise of 15%, which increases their pay to $17,250. Calculate his salary before the increase.
Answers
Answer:
$15,000
Step-by-step explanation:
Let P represent Aiden's current pay.
If they receive a pay rise of 15%, that means they receive their original pay plus 15% of that original pay.
P + 0.15P = 17250
1.15P = 17250
P = 17250/1.15 = 15000
His salary before the increase was $15,000.
Answer:
$14662.5
Step-by-step explanation:
Aiden receives a pay rise of 15%
increases their pay to $17,250
15% of $17,250 is $2587.5 therefore $17,250 - $2587.5 is his salary before the increase which is 14662.5 so aiden had $14662.5 before his salary increase
solve for x. round to the nearest tenth of a degree, if necessary
Answers
What is the y-intercept?
Answers
Answer:
y- intercept = 4
Step-by-step explanation:
The y- intercept is the point on the y- axis where the graph crosses the y- axis
In this case that is the point (0, 4 ) , then
y- intercept = 4
Helppp on mathhh pls it’s due tomorrow
Answers
Answer:
1. 20 km
2. 0.5 hours
3. 40 km
4. 1.5 hours
5. A, 40 km/hr
6. 80 km/hr, 40 km/hr
Step-by-step explanation:
2. The lines of Car A and Car B at 0.5 hours, meaning the cars have been traveling for 0.5 hours before they met.
1. From 0 hours to 0.5 hours, Car A traveled from 20 km to 40 km. The distance traveled before Car A met Car B was 40 km - 20 km = 20 km.
3. Cars A and B travel at the same speed starting at the 0.5 hour, 40 km point. They are traveling at the same speed from 0.5 hours to 1.5 hours since they share the same line and therefore the same slope. From the point at which Cars A and B met, they traveled from 40 km to 80 km. They traveled at the same speed for 80 km - 40 km = 40 km.
4. Both cars reached point C at the same time of 1.5 hours.
5. Car A had constant speed sicne the lines "Car A" and "Cars A and B" had the same slope. The speed is equal to the slope of the line: [tex]Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}} = \frac{80-20}{1.5-0} = 40 km/hr[/tex]
6.
First speed: [tex]Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}} = \frac{40-0}{0.5-0} = 80 km/hr[/tex]
Second speed: [tex]Slope = \frac{y_{2}-y_{1}}{x_{2}-x_{1}} = \frac{80-40}{1.5-0.5} = 40 km/hr[/tex]
help me plz i have 5 more
Answers
Answer:
1343
Step-by-step explanation:
the length of a rectangle is (2x + 1) the width of the rectangle is (x^2 + 2x - 1). which expression represents the perimeter of the rectangle?
Answers
Answer:
(2x+1+x^2+2x-1)*2=2x^2+8x
Step-by-step explanation:
the x-intercept of the graph of f(x)=3log(x-5)+2 is:
Answers
Answer:
C
Step-by-step explanation:
To find the x- intercept let f(x) = 0 , then
3log(x - 5) + 2 = 0 ( subtract 2 from both sides )
3log(x - 5) = - 2 ( divide both sides by 3 )
log(x - 5) = - [tex]\frac{2}{3}[/tex] , then
x - 5 = [tex]10^{-\frac{2}{3} }[/tex] ( add 5 to both sides )
x = [tex]10^{-\frac{2}{3} }[/tex] + 5 → C
round 49.07583 to the nearest place value given; tenth, hundredth, thousandth ten-thousandth, unit?
Answers
Answer:
tenth- 49.1
Hundredth- 49.08
thousandsths- 49.076
ten-thousandths- 49.0758
PLEASE HELP ME OUT!!
Convert the following
1,000 mL = _______ L
4,500 mg = _______ g
25 cm = ________ mm
Answers
Answer:
1,000ML = 1 L
4,500MG = 4.5G
25CM = 250MM
Identify the similar triangles.
ΔHFE=
ΔHFE=
Answers
∆HFE is similar to ∆HFG and ∆ HEG (they all are right triangles and have the same, shape.)
The given triangle ΔHFE is similar to triangle GFH and triangle GHE.
What are similar triangles?Similar triangles are two triangles that have the same shape but may differ in size. They have corresponding angles that are congruent and corresponding sides that are proportional.
Here,
Since triangle HFE is similar to triangle GFH,
∠HEF = ∠GHF,
∠FHE = ∠HGF, and ∠HFE = ∠HFG
Similarly
ΔHFE is similar to triangle ΔGHE.
Similar triangles are useful in many areas of mathematics and in the real world, such as in architecture, engineering, and cartography, where they are used to make scale models of buildings and other structures.
Thus, the given triangle ΔHFE is similar to triangle GFH and triangle GHE.
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Solve the Quadratic equation
8n²-56=48n
Answers
Answer:
n = {-1, 7}
Step-by-step explanation:
8n² - 56 = 48n
Subtract 48n from both sides
8n² - 48n - 56 = 0
Divide both sides by 8
n² - 6n - 7 = 0
Factor
alternately use the quadratic equation or complete the square
(n - 7)(n + 1) = 0
n = {-1, 7}
Stuck on no.2 so any help will be appreciated : )
Answers
Answer:
Step-by-step explanation:
[tex]\dfrac{x^{m}}{x^{n}}=x^{m-n}\\\\\\a)\dfrac{a^{5}}{a^{3}}=a^{5-3}=a^{2}\\\\\\b)\dfrac{c^{4}}{c^{3}}=c^{4-3}= c^{1} =c[/tex]
Answer:
A) a^2
B) c
Step-by-step explanation: hope this helps
Write the first five digits of 1/7 in base 9 expression
Answers
Compare 1/7 to consecutive multiples of 1/9. This is easily done by converting the fractions to a common denominator of LCM(7, 9) = 63:
1/9 = 7/63
2/9 = 14/63
while
1/7 = 9/63
Then 1/7 falls between 1/9 and 2/9, so 1/7 = 1/9 plus some remainder. In particular,
1/7 = 1/9¹ + 2/63.
We do the same sort of comparison with the remainder 2/63 and multiples of 1/9² = 1/81. We have LCM(63, 9²) = 567, and
1/9² = 7/567
2/9² = 14/567
3/9² = 21/567
while
2/63 = 18/567
Then
2/63 = 2/9² + 4/567
so
1/7 = 1/9¹ + 2/9² + 4/567
Compare 4/567 with multiples of 1/9³ = 1/729. LCM(567, 9³) = 5103, and
1/9³ = 7/5103
2/9³ = 14/5103
3/9³ = 21/5103
4/9³ = 28/5103
5/9³ = 35/5103
6/9³ = 42/5103
while
4/567 = 36/5103
so that
4/567 = 5/9³ + 1/5103
and so
1/7 = 1/9¹ + 2/9² + 5/9³ + 1/5103
Next, LCM(5103, 9⁴) = 45927, and
1/9⁴ = 7/45927
2/9⁴ = 14/45927
while
1/5103 = 9/45927
Then
1/5103 = 1/9⁴ + 2/45927
so
1/7 = 1/9¹ + 2/9² + 5/9³ + 1/9⁴ + 2/45927
One last time: LCM(45927, 9⁵) = 413343, and
1/9⁵ = 7/413343
2/9⁵ = 14/413343
3/9⁵ = 21/413343
while
2/45927 = 18/413343
Then
2/45927 = 2/9⁵ + remainder
so
1/7 = 1/9¹ + 2/9² + 5/9³ + 1/9⁴ + 2/9⁵ + remainder
Then the base 9 expansion of 1/7 is
0.12512..._9
Why is unit rate the only attribute we use to compare proportional relationships?
Answers
Answer:
Because its an internationally accepted method.
Step-by-step explanation:
5+8 = 13 but 8+5 = 14 explain
Answers
Answer:
Their both the same answers which is 13
Step-by-step explanation:
Explain the equivalence of 7 divided by 2 or 7/2and using words.
Answers
Answer:
so this is what i think im not sure but ot will be seven dived by two . i hope this works
Help please help I really need help
Answers
Answer:
i can barely see this...can you make it bigger then i can figure out what o do so i can give you the answer......
Step-by-step explanation:
Please help I’ll give brainylist in return thank you
Answers
Explanation
A license plate consist of 3 digits, 3 letters determine the number of different license plate if the first letter must be N,M, or P and repetition and numbers is not permitted
Answers
Answer:
1800.
Step-by-step explanation:
If N is the first letter the next 2 letters will be the number of permutations of 2 from 25 = 25!/ (25-2)!
= 600.
If the first number is M or P the number is the same so that makes 1800 possibilities.
Estimate g(14). (Use the midpoint to get the most precise estimate.)
I know how to apply the midpoint theorem, but I don't know where I should start my intervals.
Answers
We have that for the Question "I know how to apply the midpoint theorem, but I don't know where I should start my intervals." it can be said that
Where you start your intervals are at the (x,y) co-ordinate of the Reference points
From the question we are told
I know how to apply the midpoint theorem, but I don't know where I should start my intervals.
Generally the equation for the midpoint is mathematically given as
[tex]m=\frac{x1+x2}{2},\frac{y1+y2}{2}[/tex]
Naturally the midpoint of two point is the point in between the reference points where distances from them are equal
Therefore
Midpoints co-ordinates simply considers the co-ordinate of the two main reference points.(x,y)
Hence
Where you start your intervals are at the (x,y) co-ordinate of the Reference points
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48 mouse traps/6 people = X mouse traps/1 person
Answers
Answer:
8 mousetraps
Step-by-step explanation:
to find how many mousetraps per person, we need to divide 48 by 6, which gives us 8.
Solve the following
Answers
c) x=35
d) x=13
Answer:
b) 2x=9=>x=9/2=4.5
c)x/5=7=>x=5×7=35
d)x/2=6.5=>x=6.5×2=13
PLZZZZZ I NEED HELP ASAP!!!! 21 points
Triangle PQR is transformed to triangle P′Q′R′. Triangle PQR has vertices P(3, −6), Q(0, 9), and R(−3, 0). Triangle P′Q′R′ has vertices P′(1, −2), Q′(0, 3), and R′(−1, 0).
Plot triangles PQR and P′Q′R′ on your own coordinate grid.
Part A: What is the scale factor of the dilation that transforms triangle PQR to triangle P′Q′R′? Explain your answer. (4 points)
Part B: Write the coordinates of triangle P′′Q′′R′′ obtained after P′Q′R′ is reflected about the y-axis. (4 points)
Part C: Are the two triangles PQR and P′'Q′'R′' congruent? Explain your answer. (2 points)
Answers
Answer:
d. took the test
Step-by-step explanation:
Also you have to like multiply all of the numbers or sum.
Answers
Answer:
174 m^2
Step-by-step explanation:
9 * 5 = 45
9 * 5 = 45
9 * 3 = 27
9 * 3 = 27
5 * 3 = 15
5 * 3 =15
45+45+27+27+15+15 = 174 m^2
Hope this is helpful.
Answer:
174 m²
Step-by-step explanation:
9 * 5 = 45 (that's the bottom and top areas)
9 * 3 = 27 (that's both the bigger sides areas)
5 * 3 = 15 (that's both the smaller sides areas)
Now you have to double:
45 * 2 = 90
27 * 2 = 54
15 * 2 = 30
Now sum:
90 + 30 + 54 = 174
Simplify.
–36 + (–74)
–110
–100
38
110
Answers
-------------------------------
- 36 + (-74)
- 36 - 74
- 110
<3
PLEASE HELP QUESTION 4 ILL GIVE BRAINLIEST
Answers
Answer:
7
Step-by-step explanation:
We take the information in the problem and translate it into a linear equation of the form 3x-8=13. Combining like terms we get 3x=21. next divide both sides by 3 for a final answer of x=7
Help ASAP!!!!!
A. 1/4
B. 4
C. - 1/4
D. –4
Answers
Answer:
D. -4
Step-by-step explanation:
what is the measure of angle ASC
Answers
Colin and Brian were playing darts. Colin scored 36. Brian scored 35 more than Colin. What was their combined score?
Answers
Answer:
107
Step-by-step explanation:
Because, 36+35=71
and 71+36=107
Answer:
107
Step-by-step explanation:
not that hard bro
