Answer:
1/2 + 2/3 + 5/4 = 29/ 12 = 2 5/ 12 ≅ 2.4166667
Step-by-step explanation:
Add: 1/ 2 + 2/ 3 = 1 · 3/ 2 · 3 + 2 · 2/ 3 · 2 = 3/ 6 + 4/ 6 = 3 + 4/ 6 = 7/ 6
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(2, 3) = 6. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 3 = 6. In the next intermediate step, the fraction result cannot be further simplified by canceling.
In words - one half plus two thirds = seven sixths.
Add: the result of step No. 1 + 5/ 4 = 7/ 6 + 5/ 4 = 7 · 2/ 6 · 2 + 5 · 3/ 4 · 3 = 14/ 12 + 15/ 12 = 14 + 15/ 12 = 29/ 12
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(6, 4) = 12. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 6 × 4 = 24. In the next intermediate step, the fraction result cannot be further simplified by canceling.
In words - seven sixths plus five quarters = twenty-nine twelfths.
hope it helps...
correct me if I'm wrong...
Regan earns $1380 per month out of which he saves $1140 per month. What is the ratio (in the lowest form) of Regan's income to his savings? $$
Answer:
23:19
Step-by-step explanation:
This questions is looking for this ratio:
income:savings
Regan's income is $1,380 per month.
Regan's savings is $1,140 per month.
Substitue those numbers in our original ratio, and you'll get this:
1380:1140
However, this question wants the lowest form of the ratio.
To do that, you can find the GCF (greatest common factor) and divide both number's by it, or you can just randomly divide them by small numbers you know both of them are divisible by.
I'm going to use the 2nd method because it's usually quicker for big numbers like these:
1380/10 = 138
1140/10 = 114
138/2 = 69
114/2 = 57
69/3 = 29
57/3 = 19
29 and 19 are prime numbers, so you can't divide them anymore. This is how we know we've reached the lowest terms of these numbers.
So the answer is 29:19
Hope this helps (●'◡'●)
Answer: 23:19
Step-by-step explanation: 1380 and 1140 LCM is 60. 1380/6 = 23 and 1140/6= 19
Therefore, the answer is 23:19
What is the y-intercept of the line y = -3x + 7?
O A. -7
O B. 3
O C. 3
O D. 7
Answer:
Answer would be
D: 7
A triangle has the vertices of P(2,5),Q(-4,7) and R(-2,-1) classify the triangle is scalene, Isoceles or an equilateral triangle
Answer:
isoceles
Step-by-step explanation:
The vertices are not equal
A corporate team-building event cost $4, plus an additional $3 per attendee. If there are 39 attendees, how much will the corporate team-building cost?
Answer:
$121
Step-by-step explanation:
Find how much additional money it will cost from the attendees:
39(3)
= 117
Add the other $4:
117 + 4
= 121
So, it will cost $121
Find the constant of proportionality if y is
proportional to x.
A. 25
B. 21
C. 26
D. 28
HELPPP!!!!!!
. It is known that the glucose level in blood of diabetic persons follows a normal distribution model with mean 106 mg/100 ml and standard deviation 8 mg/100 ml. a. Calculate the probability of a random diabetic person having a glucose level less than 120 mg/100 ml. b. What percentage of persons have a glucose level between 90 and 120 mg/100 ml?
Answer:
a. 0.9599 = 95.99% probability of a random diabetic person having a glucose level less than 120 mg/100 ml.
b. 0.9371 = 93.71% of people have a glucose level between 90 and 120 mg/100 ml.
Step-by-step explanation:
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean 106 mg/100 ml and standard deviation 8 mg/100 ml
This means that [tex]\mu = 106, \sigma = 8[/tex]
a. Calculate the probability of a random diabetic person having a glucose level less than 120 mg/100 ml.
This is the p-value of Z when X = 120. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{120 - 106}{8}[/tex]
[tex]Z = 1.75[/tex]
[tex]Z = 1.75[/tex] has a p-value of 0.9599
0.9599 = 95.99% probability of a random diabetic person having a glucose level less than 120 mg/100 ml.
b. What percentage of persons have a glucose level between 90 and 120 mg/100 ml?
The proportion is the p-value of Z when X = 120 subtracted by the p-value of Z when X = 90. So
X = 120
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{120 - 106}{8}[/tex]
[tex]Z = 1.75[/tex]
[tex]Z = 1.75[/tex] has a p-value of 0.9599
X = 90
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{120 - 106}{8}[/tex]
[tex]Z = -2[/tex]
[tex]Z = -2[/tex] has a p-value of 0.0228
0.9599 - 0.0228 = 0.9371
0.9371 = 93.71% of people have a glucose level between 90 and 120 mg/100 ml.
3 years later a mother will be 4 times as
old as her son. 3 years ago ,the mother age was two times as old as her son age will be 8 years hence. What are their present ages?
Answer:
33 and 6 yearsStep-by-step explanation:
Mother's age = mSon's age = s3 years later:
m + 3 = 4(s + 3) ⇒ m = 4s + 12 - 3 = 4s + 93 years ago:
m - 3 = 2(s + 8) ⇒ m = 2s + 18 + 3 = 2s + 21Solve for s by substitution:
4s + 9 = 2s + 212s = 12s = 6Find the value of m:
m = 4*6 + 9 = 33Mother is 33 and son is 6
In the equation 17x2 = 12x, the value of c is:
O
0 12
O 17
Answer:
ok ok ok ok ok ok ok
Step-by-step explanation:
What is the simplified value of the expression below?
1/3 divided by 2/3
0
1/3
1/2
1
Answer:
option C : 1/2
Step-by-step explanation:
[tex]\frac{1}{3} \div \frac{2}{3} \\\\\frac{\frac{1}{3}}{\frac{2}{3}}\\\\\frac{1}{3} \times \frac{3}{2} \\\\\frac{1}{2}[/tex]
A football is thrown from the stadium. The height of this football can be represented by the polynomial -16t2 +32t + 20, where t is the time in seconds. Find the factored form of the polynomial.
A) 4(2t+5)(2t-1)
B) 4(2t-5)(2t+1)
C) -4(2t-5)(2t+1)
D) -4(2t+5)(2t-1)
Answer:
C
Step-by-step explanation:
related equation
-16t^2 + 32t + 20 = 0
-4t^2 + 8t + 5 = 0
Δ/4 = 16 + 20 = 36
t1 = (-4 + 6)/-4 = -1/2
t2 = (-4 - 6)/-4 = 5/2
-16(t+1/2)(t-5/2)
-16(2t+1/2)(2t-5/2)
-4(2t+1)(2t-5)
The length of a rectangle is 7 ft less than three times the width, and the area of the rectangle is . Find the dimensions of the rectangle.
Answer:
See explanation
Step-by-step explanation:
the length of a rectangle is 7 feet less than three times it’s width. if the area of the rectangle is 180 ft, find the dimensions of the rectangle.
Width = x
Length = 3x - 7
Area of a rectangle = length × width
180 = (3x - 7) * x
180 = 3x² - 7x
3x² - 7x - 180 = 0
Using quadratic formula
a = 3
b = -7
c = -180
x = -b ± √b² - 4ac / 2a
x = -(-7) ± √(-7)² - 4(3)(-180) / 2(3)
x = 7 ± √49 - (-2160) / 6
= 7 ± √49 + 2160 / 6
x = 7 ± √2209/6
= 7 ± 47 / 6
= (7 + 47)/6 or ( 7 - 47)/6
= 54/6 or -40/6
x = 9 or -6.67
x cannot be negative
Therefore,
x = 9 ft
Width = x = 9 ft
Length = 3x - 7
=3(9) - 7
= 27 - 7
= 20 ft
A Basket contains 3 types of fruits weighing 58/3 kg in all. If 73/9 kg of are apples,19/6 are oranges and the rest are pears. What is the weight of the pears in the basket?
Answer:
Step-by-step explanation:
233 322
maths questions on coordinate geomery
Answer:
:
Example Question #1:
Step-by-step explanation:
Which of the following is the equation of a line that is parallel to the line 4x – y = 22 and passes through the origin?
Possible Answers:
4x – y = 0
(1/4)x + y = 0
4x + 8y = 0
4x = 8y
y – 4x = 22
Correct answer:
4x – y = 0
Explanation:
We start by rearranging the equation into the form y = mx + b (where m is the slope and b is the y intercept); y = 4x – 22
Now we know the slope is 4 and so the equation we are looking for must have the m = 4 because the lines are parallel. We are also told that the equation must pass through the origin; this means that b = 0.
In 4x – y = 0 we can rearrange to get y = 4x. This fulfills both requirements.
', .
In - ABC shown below, side AC is extended to point D with mZ DAB = (180 – 3x) °,
mZ B = (6x – 40) °, and m2 C = (x + 20).
Answer:
<BAC = 36degrees
Step-by-step explanation:
Find the diagram attached
The sum of the interior angle is equal to the exterior. Hence;
<B + <C = <DAB
6x+40 + x+20 = 180 - 3x
7x+60 = 180 - 3x
7x+3x = 180 - 60
10x = 120
x = 120/10
x = 12
Get <BAC
<BAC = 180 - (180-3x)
<BAC = 180-180+3x
<BAC = 3x
<BAC = 3(12)
<BAC = 36degrees
what is the value of x? (3x-14)°=180° [4(x-9)]°=180°
Answer:
3x-14=180
3x=194
x= 64 2/3
4(x-9)=180
4x-36=180
4x=216
x=54
Hope This Helps!!!
Step-by-step explanation:
(3x-14)°=180°
3x-14=180
3x=180+14
3x=194
x=64.6
[4(x-9)]°=180°
4x-36=180
4x=180+36
4x=216
x=54
Find the greatest number such that; x360y is divisible by 24
WILL GIVE BRAINIEST, NEED ANSWER ASAP
Answer:
93600
Step-by-step explanation:
24=3*2*2*2
y=0,8
1) x3600, then x=9,6,3
2)x3608, then x=1,4,7
9 is the largest so the final answer is 93600
GIVING 15 POINTS PLS HELP!!!
Part A: factor 2x^2b^2 + 5xb^2 + 2b^2. Show your work.
Part B: factor x^2 - 8x + 16. Show your work.
Part C: factor x^2 - 49. Show your work.
Answer:
the picture I've given is an answer
What is the answer to this question
Answer:
26 m is the answer to the question
M=F+Frt
solve for t...
Answer:
m=f+Frt
M=f(1+rt)
M\1+rt=F
solve the problems. write the complete proof in your paper homework and for online (only) complete the probing statement (if any) that is a part of your proof or related to it
Answer:
[tex]m \angle A = m \angle C[/tex] by reason [tex]\overline{AB} \cong \overline{BC}[/tex] and [tex]m \angle B = m \angle M = m \angle P[/tex].
[tex]\triangle AMO \cong \triangle CPO[/tex] SAS Theorem
Step-by-step explanation:
We proceed to demonstrate the statement by Geometric means:
1) [tex]\overline{AB} \cong \overline{BC}[/tex], [tex]\overline {AM} \cong \overline {PC}[/tex], [tex]m\angle AMO = m\angle CPO[/tex] Given.
2) [tex]\frac{AM}{AB} = \frac{PC}{BC}[/tex] Proportionality.
3) [tex]\frac{AM}{AM + MB} = \frac{PC}{BP + PC}[/tex] Definition of line segments.
4) [tex]\frac{1}{1+\frac{MB}{AM} } = \frac{1}{\frac{BP}{PC}+1}[/tex] Algebra.
5) [tex]\frac{BP}{PC} + 1 = 1 +\frac{MB}{AM}[/tex] Algebra.
6) [tex]\frac{BP}{PC} = \frac{MB}{AM}[/tex] Algebra.
7) [tex]BP = BM[/tex] By 1)
8) [tex]m \angle B = m \angle M = m \angle P[/tex] By 1), 7)
9) [tex]\triangle AMO \sim \triangle ABC[/tex], [tex]\triangle CPO \sim \triangle ABC[/tex] By 1), 7), 8). Defintion of simmilarity.
10) [tex]\frac{AM}{MO} = \frac{AB}{BC}[/tex], [tex]\frac{PO}{PC} = \frac{AB}{BC}[/tex] Definition of proportionality.
11) [tex]\frac{AM}{MO} = \frac{PO}{PC}[/tex] Algebra.
12) [tex]AM^{2} = PO\cdot MO[/tex] Algebra.
13) [tex]PO = MO[/tex] By 12) and Algebra.
14) [tex]\overline{PO} \cong \overline{MO}[/tex] By 13).
15) [tex]\triangle AMO \cong \triangle CPO[/tex] SAS Theorem/Result.
Tariq wants to make some purple paint.
He mixes blue, red and white paint in the ratio 5:3:2
Tariq needs 60 litres of purple paint.
He gets a discounted price of 60% on the red paint.
Calculate how many litres of red paint he buys at the discounted price.
Answer:
18 liters
Step-by-step explanation:
Blue : red : White = 5 : 3 : 2
Quantity of Blue paint = 5x
Quantity of Red paint = 3x
Quantity of White paint = 2x
Total paint = 5x + 3x + 2x = 10x
10x = 60 liters
x = 60/10
x = 6
Quantity of red paint = 3x = 3*6 = 18
If 4/3 . sin42⁰ = x then 4/3 . cos48⁰ = ?
Step-by-step explanation:
If 4/3 . sin42⁰ = x then 4/3 . cos48⁰ = ?
so it's that
which of the following functions is graphed below?
Answer:
d number on is the wright answer
hope it may help you
In a group of 26 pupils, 3 play the flute only.
5 play the piano only.
7 play neither instrument.
How many pupils play both instruments?
Here is a Venn diagram:
Find y
Help me please
Answer:
y = 46
Step-by-step explanation:
What is the slope of the line? What is the y-intercept of the line? y = 2x + 5
Slope intercept form of a line is, y = mx + c where m is the slope and c is constant.
Judging the given equation y = 2x + 5
Slope (m) of the line is 2,
y-intercept of the line,
y = 2x + 5
y = 2×0 + 5
y = 5
Answered by GAUTHMATH
Answer:
m = 2
y intercept = 5
Step-by-step explanation:
The given equation of the line is ,
[tex]\implies y = 2x +5[/tex]
We know that the Standard equation of Slope Intercept Form of the line is,
[tex]\implies y = mx + c[/tex]
Where ,
m is slope c is y interceptOn comparing to the Standard form of the line we get ,
[tex]\implies Slope = 2 [/tex]
[tex]\implies y - intercept= 5[/tex]
On Monday, a localamburger shop said a combined total of 225 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number
of hamburgers sold. How many hamburgers were sold on Monday?
hamburgers
х
?
Answer:
h = hamburgers sold
2h - 72 = 578
2h = 650
2 2
h = 325
There were 72 fewer cheeseburgers sold than hamburgers. That means cheeseburgers = 325 - 72
325 - 72 = 253
253 = cheeseburgers
325 = hamburgers
253 + 325 = 578
Hamburgers = 325
Hope this helps :)
If f(x) = 2x2 + 1, what is f(x) when x = 3?
Answer:
18
Step-by-step explanation:
f(x)=2x(2+1)
f(3)=2(3)(2+1)
=6(2+1)
=12+6
=18
Someone help me please I’m exhausted & struggling
Answer:
Step-by-step explanation:
I need help with this, Im never good with these
Answer:
(a) basketball
(b) hat
(c) stuffed animal
explanation:
I'm not sure if got right but from what i see;
Chances from 1-23 you get a stuffed boi
Chances from 24-54 you get a hat (why)
Chances from 55-100 you get a basketball
Winner 5 got 90, which is between 55-100
Winner 6 got 35, which is between 24-54
winner 8 got a 7, which is between 1-23
Hope I didn't read it wrong
