Answer:
y = [tex]\frac{13}{28}[/tex]
Step-by-step explanation:
Given
7y - 2 [tex]\frac{3}{4}[/tex] = [tex]\frac{1}{2}[/tex] ( change the mixed number to an improper fraction )
7y - [tex]\frac{11}{4}[/tex] = [tex]\frac{1}{2}[/tex] ( multiply through by 4 to clear the fractions )
28y - 11 = 2 ( add 11 to both sides )
28y = 13 ( divide both sides by 28 )
y = [tex]\frac{13}{28}[/tex]
Find the 8th term in the following geometric sequence.
28, 14, 7, 3.5, ...
Answer:
0.21875
Step-by-step explanation:
if the common ratio is 0.5 keep multiplying till the eight term
3.5 ×0.5=1.75 fifth term
1.75×0.5=0.875 sixth term
0.875×0.5=0.4375 seventh term
0.4375×0.5=0.21875 eight term
Therefore the eight term is 0.21875
Factorise fully :
mx + my + nx + mq
solve each system by substitution y=2x-1. 3x+8y=11
Answer:
x=1, y=1
Step-by-step explanation:
Sub y=2x-1 into 3x+8y=11
3x+8(2x-1)=11
3x+16x-8=11
19x=11+8
19x=19
x=1
Sub x=1 into y=2x-1
y=2(1)-1
y=2-1
y=1
QUICK
Find the area of the shaded region. Use 3.14 for pi.
Answer:
The shaded region is [tex]353.25m^2[/tex].
Step-by-step explanation:
The area of a circle is defined by the multiplication of the square of its radius, or half its diameter, by pi, or simply [tex]A=\pi r^2[/tex].
15m is the radius of the large circle, and also the diameter of the smaller circles.
The area of the shaded region will be the subtraction of the area of the two smaller circles from the area of the larger circle.
As such:
[tex]A=\pi(15)^{2}-2(\pi(\frac{15}{2} )^{2})\\\\A=(3.14)(15)^{2}-2(3.14)(\frac{15}{2} )^{2}\\A=706.5-353.25\\A=353.25[/tex]
Answer:
353.25 m²Step-by-step explanation:
Shaded region is the difference in the area of the bigger circle and two smaller circles.
Radius of bigger circle = 15 mRadius of smaller circles = 15/2 = 7.5 mThe shaded area:
A = π(15²) - 2π(7.5²) = π(225 - 112.5) = 3.14(112.5) = 353.25 m²Mr. Ford Invested $12,450 in a bank at 7.25% per annum simple interest for 6 years. calculate the interest he was paid
Answer:
If my calculations are correct, $5415.75 of interest was paid throughout 6 years.
Step-by-step explanation:
7.25% of 12,450 is 902.625.
If the interest being paid was the 7.25% of 12,450 throughout the 6 years then the answer is 902.625 x 6 ( the amount of years ) = $5415.75.
In other cases such as 7.25% of the new number of invested money after the loss of 902.625 then this answer is wrong, but I solved as I understood.
Hope this helps.
HELP MARK BRANLIEST AND ALSO POINTS
Answer:
25 rides
Step-by-step explanation:
has $28.50
15.75 + 0.50r [tex]\leq[/tex] 28.50
Subtract 15.75
0.50r [tex]\leq[/tex] 12.75
r [tex]\leq[/tex] 25.5
you can't have half rides, so 25 rides
Can someone help me and leave a description of how to do the problem? I need help asap!
Answer:
Step-by-step explanation:
Please help! 30 points!
Use the Law of Cosines to solve the problem.
A ship travels due west for 83 miles. It then travels in a northwest direction for 111 miles and ends up 165 miles from its original position. To the nearest tenth of a degree, how many degrees north of west did it turn when it changed direction? Show your work.
Answer: [tex]64.2^{\circ}[/tex]
Step-by-step explanation:
According to the cosine rule
[tex]\cos C=\dfrac{a^2+b^2-c^2}{2ab}[/tex]
Here, [tex]a=83, b=111, c=165,\ C=180^{\circ}-\theta[/tex]
Putting values
[tex]\Rightarrow \cos (180^{\circ}-\theta)=\dfrac{83^2+111^2-165^2}{2\times 83\times 111}\\\\\Rightarrow \cos(180^{\circ}-\theta)=\dfrac{6889+12321-27225}{18426}\\\\\Rightarrow \cos(180^{\circ}-\theta)=\dfrac{-8015}{18426}=-0.4349\\\\\Rightarrow 180^{\circ}-\theta=\cos^{-1}(-0.4349)=115.77^{\circ}\\\Rightarrow \theta=64.23\approx 64.2^{\circ}[/tex]
So, the ship turns by [tex]64.2^{\circ}[/tex] north of west
The ship turned an at angle of 64.2 degrees north of west
Represent the angle, the ship turned due north of west with theta.
From the figure, we have the following equation
[tex]\cos(A) = \frac{b^2 + c^2 - a^2}{2bc}[/tex]
So, we have:
[tex]\cos(A) = \frac{83^2 + 111^2 - 165^2}{2 * 83 *111}[/tex]
Evaluate the expression on the right-hand side
[tex]\cos(A) = -0.4350[/tex]
Take the arc cos of both sides
[tex]A = \cos^{-1}(0.4350)[/tex]
[tex]A =115.8^o[/tex]
The value of theta is then calculated as:
[tex]\theta = 180 -A[/tex]
This gives
[tex]\theta = 180 -115.8^o[/tex]
[tex]\theta = 64.2^o[/tex]
Hence, the ship turned an at angle of 64.2 degrees north of west
Read more about bearing and elevation at
https://brainly.com/question/19594654
For which value of x must the square root
97x
be further simplified
Question:
For which value of x must the expression √97x be further simplified?
A. 5 B. 10 C. 15 D. 20
Answer:
[tex]D.[/tex] [tex]x = 20[/tex]
Step-by-step explanation:
Given
[tex]\sqrt{97x[/tex]
Required
For what value of x can it be simplified
From the list of options, only (D) is correct
D. 20
Substitute 20 for x in [tex]\sqrt{97x[/tex]
[tex]\sqrt{97 x} = \sqrt{97 * 20}[/tex]
Express 20 as 4 * 5
[tex]\sqrt{97 x} = \sqrt{97 * 4 * 5}[/tex]
Reorder
[tex]\sqrt{97 x} = \sqrt{4 *97 * 5}[/tex]
Split
[tex]\sqrt{97 x} = \sqrt{4} *\sqrt{97 * 5}[/tex]
[tex]\sqrt{97 x} = 2*\sqrt{97 * 5}[/tex]
[tex]\sqrt{97 x} = 2*\sqrt{485}[/tex]
[tex]\sqrt{97 x} = 2\sqrt{485}[/tex]
With other values of x, the given expression can not be simplified.
Hence:
[tex]x = 20[/tex]
urgent !! someone help
Which expression and value represents 100 less than 3 times the sum of 18 and 2?
O 3 (18+ 2) - 100; -44
O 3 % (18 + 2) - 100; -40
O 100 - 3* (18 + 2); 40
O 100 - 3x (18+ 2): 48
Answer:
3 times (18+ 2) - 100
3 (18+2) - 100 = -40
There is a 0.0125% chance that a baby might be born with a certain heart defect. If there are 312,000 babies born a day, about how many might have that defect? Round your answer to the nearest whole number.
Answer:
3,900 Babies
Step-by-step explanation:
Answer:
39
Step-by-step explanation:
312000 x0.0125 / 100 = 39
I hope this helps a little bit.
What is the estimated situation.
Answer:
Please show more information!
Step-by-step explanation:
Answer:
Lookin good soldier. Troops are ripping through their pathetic defenses. They're already runnin for the hills.
Consider the pair of triangles given below. If MPN ~ XYZ then the length of side PN is?
Answer:
the answer should be 9, im not sure tho I vaguely remember this
Diego works at a vegetable farm and earns $6.00/hour plus $1.25 for every full wagonload of picked vegetables. Write an expression to represent how much Diego eams if he works y hours and fills x wagonloads. Instruction : In the expression, let the term containing y come before the term containing x. Write the answer (without spaces) in the box given below
part B
if diego works six hours and fills 20 wagonloads, how much does he earn? write you answer in the box
PLEASE ANSWER INLY IF YOU K OW THE ANSWER
Answer:
6y + 1.25x
$61
Step-by-step explanation:
Diego works at a vegetable farm and earns $6.00/hour plus $1.25 for every full wagonload of picked vegetables. Write an expression to represent how much Diego earns if he works y hours and fills x wagonloads. Instruction : In the expression, let the term containing y come before the term containing x.
If Diego works six hours and fills 20 wagonloads, how much does he earn?
==================================================================
Let's Start!
So, we know Diego earns $6.00/hour.
We can write that as 6y, where y is the number of hours worked.
We also know that he earns $1.25 for every wagonload of picked vegetable.
We can write that as 1.25x, where x is the number of wagonloads filled.
So, to make our algebraic expression, we will separate the terms by a plus sign.
6y + 1.25x
PART TWO:
"If Diego works 6 hours"
6(6) + 1.25x =
"And Diego fills 20 wagonloads"
6(6) + 1.25(20) =
Simplify.
36 + 25= 61
So, Diego will earn $61
Hope I helped, have a nice day!
-Aadi x
Simplify.If x=2, then what is 3x^2 - 2x + 1?
Step-by-step explanation:
3x^2-2x+1
3(2)^2-2(2)+1
3(4)-4+1
12-4+1
8+1=9 Answer
Step-by-step explanation:
3(2)^2 - 2x + 1
=3x4 - 2x + 1
=12 - 2x + 1
= 13 - 2x
Answer: 13 - 2x
What is the volume of this figure?
1 yd.
2 yd.
3 yd.
1 yd.
4 yd.
2 yd.
cubic yards
Answer:
where is the figure. please provide a figure.
A middle school has 500 students. A survey was given to 50 randomly selected students, and 25 said they would buy fresh fruit in the cafeteria if it were offered. How many students all together could be expected to buy fresh fruit from the cafeteria if it were offered?
Answer:
250
Step-by-step explanation:
If they asked 50 people, and 25 said yes, that means you could excpect about 50% to buy fresh fruit, or 250 out of 500. 500/2=250
What number is 38% of 88
Answer:
33.44
Step-by-step explanation:
Use this calculator to find percentages. Just type in any box and the result will be calculated automatically.
Calculator 1: Calculate the percentage of a number.
For example: 38% of 88 = 33.44
Calculator 2: Calculate a percentage based on 2 numbers.
For example: 33.44/88 = 38%
May i get someone to help with these questions
6. If y = V 81, what is the value of y?
O A) 3
B) 9
C) 40.5
OD) 81
8. Only 54%of the people voted for senior class president. What part of the people didn’t vote?
A) 0.054
B) 0.046
C) 0.46
D) 0.54
Answer:
8) 0.46
Step-by-step explanation:
54% = 0.54 because 0.54*100 = 54% so 54%/100 = 0.54
100% - 54% = 46%
46%/100 = 0.46
You're #6 is unclear, what is V?
Help me please??????
Answer:
according to writer it answer is 2 minute
which polynomial has the highest degree? HELP
Answer:
I believe it's choice (3) because the exponent of x is 25 and it's the largest exponent of the choices.
Step-by-step explanation:
Answer:
C. 25x^10+3x-15
Step-by-step explanation:
The degree of 3x^8-2x^7+x^6 is 8
The degree of 5x-100 is 1
The degree of 25x^10+3x-15 is 10
The degree of 134x^2 is 2
Therefore the largest degree is 10
5. Brody bought 12 books. Two-thirds of the books are science fiction.
How many books are science-fiction? *
Vour answer
Answer:
8
Step-by-step explanation:
12 divided by 3 is 4 and since its 2/3 you multiple 4 times 2 giving you 8
Answer:
8
Step-by-step explanation:
Multiply amount of books by the fraction of
Jill says he did it wrong. He should have multiplied the bottom first (3 x 5) and then multiplied by the height. Explain to Jill why Jack's method works and is equivalent to her method.
Answer:
Step-by-step explanation:
Jack's method is equivalent because of the "law of commutative property", which means that multiplication problems have the same result no matter the order.
2x5 is the same as 5x2
Suppose John is a 14-year-old boy who weighs 45 kg (100 lbs). John is at the 25thpercentile of weight for his age. Twenty-five percent of 14-year-old boys weigh the same or less than John and 75% weigh more than John. If John’s height is 170 cm (almost 5’7”), he is at the 75thpercentile of his height for age. Based on the informationgiven about John, how would you describe John’s general appearance?
Helppppppp...?????????????????????
Answer:
144(3/4)^1-n
Step-by-step explanation:
This is a geometric sequence, so if you divide 192 by 144 you will find that the common ratio r is 4/3. This would make the equation an=144(4/3)^n-1. However, that's not one of the options. If you plug in some numbers, you can see that 3/4 (the reciprocal of 4/3) can work as well if it's 3/4^1-n. 4/3^-1=3/4 and n-1(-1)=1-n
Please help I don’t know
Answer:
b
Step-by-step explanation:
Can someone explain what the GFC is to me pls. Step by step explanation.
Answer:
When we find all the factors of two or more numbers, and some factors are the same ("common"), then the largest of those common factors is the Greatest Common Factor. Example: the GCF of 12 and 16 is 4, because 1, 2 and 4 are common factors of both 12 and 16, and 4 is the greatest of them.
Step-by-step explanation:
When we find all the factors of two or more numbers, and some factors are the same ("common"), then the largest of those common factors is the Greatest Common Factor. Example: the GCF of 12 and 16 is 4, because 1, 2 and 4 are common factors of both 12 and 16, and 4 is the greatest of them.
Answer:
The greatest common factor (GCF) of a set of numbers is the largest factor that all the numbers share.
Step-by-step explanation:
Example: 6,8,20
6-1,2,3,6
8-1,2,4,8
20-1,2,4,5,20
GCF is 2
Mike had a coupon for 20% off the price of a shirt at a certain store. What was the amount of the additional discount Mike received? • On the day he went, the store was also having a sale. • The original price of the shirt was $25.50. • The price after the coupon and the additional discount was $18.36. (A) 7% B) 10% © 27% D 30%
Answer:
7%
Step-by-step explanation:
If a car has tires with a diameter of 28 inches and is traveling at 55 mph, how fast are its tires spinning, in rpm^ prime s (revolutions per minute)? [There are 63,360 inches in 1 mile) Round your final answer to 2 decimal places .
Answer:
The tires are spinning at 660.49 revolutions per minute.
Step-by-step explanation:
The speed of the tires (v) is the same that the speed of the car, so to find the angular velocity of the tires we need to use the equation:
[tex] \omega = \frac{v}{r} [/tex]
Where:
r: is the radius of the tires = d/2 = 28 inches/2 = 14 inches
[tex]\omega = \frac{55 mph}{14 inches*\frac{1 mile}{63360 inches}} = 2.49 \cdot 10^{5} \frac{rad}{h}*\frac{1 h}{60 min}*\frac{1 rev}{2\pi rad} = 660.49 rpm[/tex]
Therefore, the tires are spinning at 660.49 revolutions per minute.
I hope it helps you!