Answer:
[tex]k = 5[/tex]
Step-by-step explanation:
Solve for [tex]k[/tex] :
[tex]\frac{k}{2} + \frac{1}{2} = 3[/tex]
-Multiply both sides of the equation by the denominator [tex]2[/tex] :
[tex]2 \times \frac{k}{2} + \frac{1}{2} = 3 \times 2[/tex]
[tex]k + 1 = 6[/tex]
-Subtract both sides by [tex]1[/tex]:
[tex]k + 1 - 1 = 6 - 1[/tex]
[tex]k = 5[/tex]
So, the value of [tex]k[/tex] is [tex]5[/tex].
find the measure of the angle indicated by 7x+12
Answer:
61°
Step-by-step explanation:
7x + 12 and 17x are same- side interior angles and are supplementary. thus
7x + 12 + 17x = 180. that is
24x + 12 = 180 ( subtract 12 from both sides )
24x = 168 ( divide both sides by 24 )
x = 7
Thus
7x + 12 = 7(7) + 12 = 49 + 12 = 61°
How many packs of DVD's can you buy with one hundred twelve dollars if one pack costs fourteen dollars ?
Answer:
8 packs
Step-by-step explanation:
112/14=8
The container that holds the water for the football team is
1/10 full.
After pouring in 12 gallons of water, it is 1/2 full.
How many gallons can the
container hold.
Answer:
30 Gallons
Step-by-step explanation:
Okay so you need to start by making an equation for yourself. Since the container starts at 1/10 of the total, you want to start by saying 1/10x. Then you add 12 gallons of water to make it half full. So 1/10x + 12 = 1/2x where x is the total amount that can fit in the container.
1/10x + 12 = 1/2x (Move your x's to the same side.)
12 = 1/2x - 1/10x (Find a common denominator.)
12 = 5/10x - 1/10x (Simplify/)
12 = 4/10x (Multiply both sides by 10; your demoninator)
120 = 4x (Divide)
x = 30
Your container holds 30 gallons.
complete the sentence. the midpoint btween 2 and 10 is
Answer:
6
Step-by-step explanation:
find the distance between each pair of points (-1 -4) and (1, -1)
Answer:
Square root of 13, or 3.60555127546 (95% sure)
Step-by-step explanation:
Pythagorean Theorum
The two bases of the "triangle" are lengths of 2 and 3
2^2=4 3^2=9
4+9=13
square root of 13 is 3.60555127546
Evaluate g(-4) when g(b)
=
- 4(12.5b - 2)
Can someone help please?
9x+5y=8
3x–y=4
what is the y-value of the solution to the system?
Answer:
y=7.51
Step-by-step explanation:
First, you have to simplify one of the equations down
3x-y=4
y=-4+3x
Second, you insert the value of y into the other equation and then solve for x
9x+5(-4+3x)=8
9x-20+15x=8
24x=28
x=1.17
Last, insert the value of x into the original equation and then solve for y
y=4+3(1.17)
y=7.51
The National Academies of Sciences Engineering, and Medicine
determined the daily water intake is about 15.5 cups for males per day
How much water should a young man drink per day in liters?
4 cups = 1 qt, 1.06 gts = 1 L
Greetings from Brasil...
According to the annex, we note that
1 qt = 1 quart = 0.95L
To solve this problem, just apply some rules of 3.....
1st - how many qt's are in 15.5 cups
qt cup
1 ---------- 4
X ---------- 15.5
4 · X = 1 · 15.5
4X = 15.5
X = 15.5 ÷ 4
X = 3.875qt
Last rule of 3 to know how many liters there are in 3.875qt:
qt litres
1 ---------- 0.95
3.875 ---------- Y
1 · Y = 0.95 · 3.875
Y = 3.68LIn a day a young man should drink 3.68L of water
Given the function f(x)=4|x-5|+3 for what values of x is f(x)=15
Answer:
{2, 8}
Step-by-step explanation:
We want to find x for ...
15 = 4|x -5| +3
12 = 4|x -5| . . . . subtract 3
3 = |x -5| . . . . . . divide by 4
±3 = x -5 . . . . . . show the meaning of absolute value
5 ±3 = x = {2, 8} . . . . . add 5
The values of x for which f(x) = 15 are 2 and 8.
–8 ÷ 2 = Can you help me plzz.
Answer:
-4
Step-by-step explanation:
so a minus divided by a plus is a minus so -8÷2 is -4.
This number is in scientific notation.
2.4 x 104
Convert the number into standard notation. What is the value?
2.4 x 10-4 =
Answer:
24
0.00024
hope it helps;)
Answer:
0.00024
Step-by-step explanation:
Solve: 8- (y + 3) = 11
y = 6
y = 3
y=0
y = -6
Answer:
y = - 6
Step-by-step explanation:
Given
8 - (y + 3) = 11 ← distribute and simplify left side
8 - y - 3 = 11
5 - y = 11 ( subtract 5 from both sides )
- y = 6 ( multiply both sides by - 1 )
y = - 6
what 21 divided by 21
1. What is the slope of the line that passes through the given points?
(2, 12) and (6, 11)
Answer:
Slope = -1/4
Step-by-step explanation:
(x1,y1) = (2,12)
(x2,y2) = (6,11)
Slope = y2-y1/(x2-x1)
11-12/6-2= -1/4
a speedboat that costs $45,000 is depreciating at a rate of 20% per year. Find the value of the boat after 4 years.
Answer:
$18,432
Step-by-step explanation:
After the first year, the speedboat is now worth $36,000 because 20% of 45,000 is 9,000, and 45,000 - 9,000 = 36,000. After the second year, it is now worth $28,800. After the third year, it is worth $23,040 since 20% of 28,800 is 5,760 and 28,800 - 5,760 = 23,040. After four years, the boat that once was worth $45,000 is now worth $18,432.
After 4 years, the value of boat is $9,000.
What is mean by Percentage?A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
We have to given that;
A speedboat costs $45,000 is depreciating at a rate of 20% per year.
So, The depreciating amount after one year = 20% of $45,000
= 20/100 × 45,000
= $9,000
Thus, The value of boat after 4 years = $45,000 - 4 × $9,000
= $45,000 - $36,000
= $9,000
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find the derivative of y=cos^2(5x^3-2x)
Step-by-step explanation:
Use power rule and chain rule.
y = cos²(5x³ − 2x)
dy/dx = 2 cos(5x³ − 2x) (-sin(5x³ − 2x)) (15x² − 2)
dy/dx = 2 cos(5x³ − 2x) sin(5x³ − 2x) (2 − 15x²)
Use double angle formula to simplify:
dy/dx = sin(10x³ − 4x) (2 − 15x²)
If Chang jogs one lap around the inside track, how far does he jog
Answer:
836 m
Step-by-step explanation:
Given that the tracks are similar, therefore, the ratio of the lenght of all corresponding sides of the inside track to the outside track are equal, and have the same scale factor.
Only 1 side of the inside track is given as 395 m. It corresponds to the side of the outside that measures 553 m. Therefore:
scale factor = 395:553 = [tex] \frac{395}{553} = 0.7 [/tex]
Find the remaining two sides of the insider tracks by multiplying the lenght of the side of the outside tracks that corresponds to each by the scale factor.
Thus:
280*0.7 = 196 m
350*0.7 = 245 m
The remaining 2 side lengths of the inside tracks are 196 m and 245 m.
If Chang completes 1 lap around the inside tracks, he would have gone: 395 + 196 + 245 = 836 m.
Answer: D. 1277
Step-by-step explanation:
First you divide 553 by 395 : 553/395=1.4
Now that you have 1.4 , you multiply that times both 350 and 280.
280 • 1.4=392
350 • 1.4=490
Add up all the sides: 395+392+490=1277
show that (-3, 2) (1, -2) and (9, -10) are collinear?
Answer:
See below
Step-by-step explanation:
See attached
Given points:(-3, 2), (1, -2) and (9, -10)Method 1Plot points on a graph and connect them, if they make a straight line, then they are collinearMethod 2Chose 2 pairs of points and find a slope, if slopes are equal then they are collinearm1 = (-2 - 2)/(1+3) = -1m2 = (-10 +2)/(9 - 1) = -1Find the area of △ABF. Round the area to the nearest whole number, if necessary.
Answer:
Area of ΔABF = 6 square units
Step-by-step explanation:
A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The area of the ΔABF is 6 units².
What is a triangle?A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The sum of all the angles of a triangle is always equal to 180°.
To find the area of the ΔABF, we need to find the length of the base and the altitude of the triangle. Therefore, we can write the lengths as,
Base, FA = [tex]\sqrt{[-5-(-2)^2]+[4-1]^2}[/tex]
=√[(-5+2)² + (3)²]
= √[(-3)² + (3)²]
= √(9 + 9)
= √18
= 3√2
Altitude, BF = [tex]\sqrt{[0-(-2)^2]+[3-1]^2}[/tex]
=√[(0+2)² + (2)²]
= √[(2)² + (2)²]
= √(4 + 4)
= √8
= 2√2
Now, the area of the triangle can be written as,
Area of the triangle = (1/2) × Base × Altitude
= 0.5 × 3√2 × 2√2
= 6 units
Hence, the area of the ΔABF is 6 units².
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Please help me solve this radical problem
I need to find the rule for x and y
To play a game on a game board, Drew puts his game piece on START. On his first turn, he moves his game piece ahead 7 spaces. On his second turn, Drew moves his game piece back 4 spaces how many spaces away from START is his game piece now? Write an expression for the situation, then solve.. PLEASE HELP ME.
Answer:
3 spaces away from start
Step-by-step explanation
7 spaces forward
4 spaces back
7 minus 4 = 3
There are 50 campers at a daycamp and 10 counselors write the ratio of campers to counselors as a fraction explain how to use equivalent fractions to write a related rate and unit wait what does the unit 830
Given that there are 50 campers at day camp and 10 counselors.
The ratio of campers to counselors as a fraction is given by .
Using equivalent fractions we have .
Thus, the related rate and unit rate to the ratio of campers to counselors is given by .
The unit rate indicates that for every counselor, there are 5 campers.
Your welcome :3
A middle school mathematics teacher accepts a teaching position that pays $40,000 per year. Each year, the expected raise is $2000. How much total money will
this teacher earn teaching middle school mathematics over the first years?
Answer:
$42000Step-by-step explanation:
step one:
Given that the initial salary is $40,000
each year and the expected pay rise is $2000 each year
step two:
We can calculate her expected earnings at the end of the year to be
= salary +expected pay rise
=$40000+$2000
= $42000
Hence at the end of the year, she will earn a total of $42000Josefina originally had $550 in her checking account. After withdrawing $100 each week, Josefina has a new balance of $50. Which best represents w, the number of weeks Josefina withdrew money from her checking account?
A. 550 - 100w = 50
B. 550 + 100w = 50
C. 50 + 100w = 550
D. 50 - 100w = 550
there are quite a bit of them but i just need someone to convert these fractions to decimals....thanks<3
Answer:
1/9=0.111111111 2/9=0.222222222 3/9=0.333333333 4/9=0.444444444
5/9=0.555555556 6/9=0.666666667 7/9=0.777777778 8/9=0.888888889
Step-by-step explanation:
sorry i dont have time to do them all but heres all of the nines
PLEASEEE HURRYYY
find all the points having an x coordinate of 2 whose distance from the point (-2,-4) is 5
Answer:
(2,-5) and (2,1).
Step-by-step explanation:
We need to find the find all the points having an x coordinate of 2 whose distance from the point (-2,-4) is 5.
A circle with center (-2,-4) and radius 5 represents all the points whose distance from the point (-2,-4) is 5.
Standard form of a circle is
[tex](x-h)^2+(y-k)^2=r^2[/tex]
where, (h,k) is center and r is the radius.
[tex](x-(-2))^2+(y-(-4))^2=(5)^2[/tex]
[tex](x+2)^2+(y+2)^2=25[/tex]
Now, put x=2.
[tex](2+2)^2+(y+2)^2=25[/tex]
[tex](4)^2+(y+2)^2=25[/tex]
[tex](y+2)^2=25-16[/tex]
[tex](y+2)^2=9[/tex]
Taking square root on both sides.
[tex]y+2=\pm\sqrt{9}[/tex]
[tex]y+2=\pm3[/tex]
[tex]y+2=-3\text{ or }y+2=3[/tex]
[tex]y=-5\text{ or }y=1[/tex]
So, the y-coordinates of the points are -5 and 1.
Therefore, the required points are (2,-5) and (2,1).
Write 4.81 as a mixed number in simplest form.
Answer:
Step-by-step explanation:
4.81
[tex]=\frac{ 481}{100} \\=4\frac{81}{100}[/tex]
Answer:
4 [tex]\frac{81}{100}[/tex]
Step-by-step explanation:
A mixed number is a combination of a whole number with a fraction. To make the fraction part, we need to take the decimal. In this case, the decimal is .81
.81 is equivalent to 81/100
81/100 is already in its simplest from since 81 is not divisible by 2
The final answer is 4 [tex]\frac{81}{100}[/tex]
Adam’s bank account has a balance of $1213.69 before he starts spending money. He makes the following transactions:
Transaction
Cost ($)
Car payment
260.16
Groceries
97.98
Parking ticket
75.00
DVD box set
115.35
Antique lamp
68.53
Suit
331.84
Adam is considering getting his car a new paint job. Doing so will have a total cost of $264.83. Can Adam afford this?
a.
Yes, he can make the purchase and still have money left over.
b.
Yes, but doing so will clear out his account.
c.
No, purchasing that would overdraw his account.
d.
No, he is overdrawn already.
Answer: B. Yes, but doing so will clear out his account.
Step-by-step explanation:
I just took a test and answered it correct.
Since Adam’s bank account has a balance of $1213.69 before he starts spending money. So, option b.Yes, but doing so will clear out his account.
Calculation of the amount:Since
Adam’s bank account has a balance of $1213.69 before he starts spending money.
The total of transactions should be like
= $260.16 + $97.98 + $75 + $115.35 + $68.53 + $331.84
= $948.85
Now the balance amount is
= $1,213.69 - $948.85
= $264.84
Based on this, we can say that the option b is correct.
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Helppp!!! Louis donated money to what he believed to be a reputable charity. He later
discovered it was a scam. What action should he take to seek retribution?
Report the incident to the Federal Trade Commission.
File a complaint with the Federal Bureau of Investigation.
Post bad reviews on social media.
Call the local police department.
Answer:
Report the incident to the federal trade commission
The action he should take to seek retribution is to report the incident to the Federal Trade Commission, the correct option is A.
What is the work of Federal Trade Commission?The Federal Trade Commission is an Independent entity, its main goal is the enforcement of civil law and protection of consumer rights.
Louis donated money to what he believed to be a reputable charity. He later discovered it was a scam.
He should seek help from Federal Trade Commission.
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