Answer:
x=5 and y=16
Step-by-step explanation:
x = number of pants
y = number of shirts
Set up equations:
25x + 14.5y = 357x + y = 21Set the equations up as a system:
25x+14.5y=357
x+y=21
Steps:
Solve the system by substitution.
(You can also solve this system by elimination.)
25x + 14.5y= 357
x + y = 21
Step 1: Solve x+y=21 for x:
(x + y) − y = (21) − y(Subtract y from both sides)
x = −y + 21
Step 2: Substitute −y + 21 for x in 25x + 14.5y = 357:
25x + 14.5y = 357
25(−y + 21) + 14.5y = 357
−10.5y + 525 = 357 (Simplify both sides of the equation)
(−10.5y + 525) − 525 = (357) − 525(Subtract 525 to both sides)
−10.5y = −168
−10.5y / −10.5 = −168 / −10.5 (Divide both sides by -10.5)
y = 16
Step 3: Substitute 16 for y in x = −y + 21:
x = −y + 21
x = −16 + 21
x = 5 (Simplify both sides of the equation)
Answer:
x=5 and y=16
The table shows the amount of money each person has or owes. A negative
number means that the person owes money.
Name
Alma
Fazil
Rachel
Justin
Amount ($)
-35.00
30.00
-8.25
6.50
Tell whether each statement is True or False.
a. Rachel has more money than Justin.
b. Fazil has more money than Alma.
True False
True False
True False
True False
C. Justin has less money than Fazil.
d. Alma owes less money than Rachel.
Answer:
false
true
true
false
.......
Apply the Pythagorean Theorem to find the distance between points A and B
A cake weights 900 g. Paul cuts it in 4 pieces. The biggest piece weighs as much as the 3 other pieces weigh together. What is the weight of the biggest piece?
Answer:500 g
Step-by-step explanation:
You deposit $1500 in an account that pays 5% interest compounded yearly. Find the balance after 6 years. please help
1500+5%= 1505 that is the answer I got I hope this was helpful
Determine the value of x in each figure.
HELPPPPP PLEASEEEEE
Answer:
15°
Step-by-step explanation:
120° and 8x are vertically opposite angles, which are always equal.
=> 8x = 120°
=> x = 120/8
=> x = 15°
The measure of arc BC is ___ degrees.
Answer:
150
Step-by-step explanation:
A population of a city is 30 000 and decreases 3% each year. If this trend continues. what will the population be after 10 years?
Answer:
22123
Step-by-step explanation:
→ Find the multiplier
3% decrease = 0.97
→ Multiply the population by the multiplier which is to the power of years
30000 × 0.97¹⁰ = 22122.7 = 22123
Calculate the missing measure in the triangle 35º and 85º
Answer:
60º
Step-by-step explanation:
180º-35º-85º=60º
2 sin^2 (x) + 3 sin (x) + 1 = 0
help me find the solution
Answer:
Step-by-step explanation:
\[2~ sin^2 x+3sin x+1=0\]
\[2sin^2x+2sin x+sin x+1=0\]
2sinx(sin x+1)+1(sin x+1)=0
(sin x+1)(2 sin x+1)=0
either sin x+1=0
sin x=-1=sin 3π/2=sin (2nπ+3π/2)
x=2nπ+3π/2,where n is an integer.
or 2sin x+1=0
sin x=-1/2=-sin π/6=sin (π+π/6),sin (2π-π/6)=sin (2nπ+7π/6),sin (2nπ+11π/6)
x=2nπ+7π/6,2nπ+11π/6,
where n is an integer.
i need help solving the paint questions
For S if the ratio is 2:7 and you use 20 drops of red paint you multiply 2 by 10 which is 20 so you also multiply 7 by ten to get 70 (So the answer for S is 70 drops) and for L you multiply 2 by 20 to get 40 so you multiply 7 by 20 and you get 140 (The answer for L is 140 drops) For T you multiply 2 by 1.5 to get 3 so you multiply 7 by 1.5 which is 10.5 ( so the answer for T is 10.5 drops)
please helppp will give brainliest
Answer:
[tex]\frac{(x + 1)(x - 2)}{x^{2} + 5}[/tex] This is the third option.
Step-by-step explanation:
Dividing a fraction is the same as multiplying the reciprocal of the second fraction.
[tex]\frac{x + 1}{x + 4}[/tex] × [tex]\frac{(x + 4)(x - 2)}{x^{2} + 5}[/tex]
[tex]\frac{(x + 1)(x + 4)(x - 2)}{(x + 4)(x^{2} + 5)}[/tex] Here, we can just get rid of the (x + 4) because it is common in both the numerator and denominator so they cancel each other out.
So the answer would be [tex]\frac{(x + 1)(x - 2)}{(x^{2} + 5)}[/tex] .
I hope this makes sense!! ^-^
PLEASE HURRY, THANK YOU!!!!
Answer:
58+61=119
180-119=61
61 degrees is the answer
Step-by-step explanation:
How many solutions can be found for the system of linear equations represented on the
graph?
A) No solution
B) One solution
C) Two solutions
D) Infinitely many solutions
Answer:
No solution
Step-by-step explanation:
Use substitution
2x+1=2x-1
Subtract 2x on both sides
1= -1
No solution
five less than three time a number is greater than two thrirds of that number
Answer:
3x - 5 > 2/3x
Step-by-step explanation:
Lisa and Maria were baking oatmeal cookies. Lisa baked 24 cookies on Friday and 36 on Saturday. Maria baked the same amount of cookies that Lisa baked on Saturday. How many cookies did they bake altogether?
Answer:
96 cookies.
Step-by-step explanation:
I don't love the wording of the question, but here's what I see:
Lisa Friday: 24
Lisa Saturday: 36
Maria total: 36
Cookie total: 96
-----------------------------------------------------
I can't really tell from how the question is worded if Maria's total was the total of what Lisa made, and she did it all on Saturday, or if Maria baked Lisa's Saturday number of cookies.
If 96 is the wrong answer, then try:
Lisa Friday: 24
Lisa Saturday: 36
Maria total: 60
Cookie total: 120
If it takes Joan 10 weeks to make 2 dollhouses, how long will it take her to make 15 dollhouses?
10 points
A. 75 weeks
B. 3 weeks
C. 30 weeks
D. 150 weeks
Answer:
D 150 thats easy multiply or add
I need help on this homework
Please please please please help me
Answer:
for # 1 the answer is B
for the second one i dont know
for the last one the answer is D
Step-by-step explanation:
The radius of a sphere with a volume of 4.5 cubic mm is ___ mm.
Answer: 1.5 mm
Step-by-step explanation:
Answer: r=1.02
Step-by-step explanation:
(3 • 4.5/4•pi)1/2
The diagonal of a suitcase measures 30 inches and the height is 18 inches. What is the width of the suitcase to the
nearest Inch?
Answer:
Step-by-step explanation:
By the Pythagorean Theorem we know
h^2=x^2+y^2 (where h is the hypotenuse and x and y are sides of a right triangle)
w^2+18^2=30^2
w^2=30^2-18^2
w^2=900-324
w^2=576
w=24 in
help help help help help help help help
I believe the answer is (3,4)
There is a 0.9987 probability that a randomly selected 31-year-old male lives through the year. A life insurance company charges $186 for insuring that the male will live through the year. If the male does not survive the year, the policy pays out $100,000 as a death benefit. Complete parts (a) through (c) below.
Parts a through c is missing and it is;
a) From the perspective of the 33-year-old male, what are the monetary values corresponding to the two events of surving the year and not surviving?
The value corresponding to surviving the year is $_____.
The value corresponding to not surviving the year is $_____.
b) If the 33-year-old male purchases the policy, what is his expected value?
The expected value is $_____.
c) Can the insurance company expect to make a profit from many such policies? Why?
_____ because the insurance company expects to make an average profit of $_____ on every 33-year-old male it insures for 1 year.
Answer:
A) the value that corresponds to surviving the year = - $186
The value corresponding to not surviving the year = $99814
B) μ = -$56
C) Yes, the company can make a profit from many such policies because it makes an average profit of $56 on every 31 year old male it insures for 1 year.
Step-by-step explanation:
A) The company charges $186 for insuring. Thus;
Amount paid out = - $186
Therefore, the value that corresponds to surviving the year = - $186
Therefore, the value corresponding to not surviving the year = $100000 - $186
The value corresponding to not surviving the year = $99814
B) since probability that a 31 year old male survives is 0.9987, then;
Probability that a male doesn't survive is;
P(doesn't survive) = 1 - 0.9987
P(doesn't survive) = 0.0013
The expected value is calculated from;
μ = Σx•P(x) = (0.0013 × 99814) + (-186 × 0.9987)
μ = -$56
C) Yes, the company can make a profit from many such policies because it makes an average profit of $56 on every 31 year old male it insures for 1 year.
please answer thanks xoxo will mark brainliest
Answer:
22) 20000000
23) 0.034
24) 0.0000000015
25) 59000000000
26) 0.0048
27) 625000
Step-by-step explanation:
A farmer sells 7.6 kilograms of apples and pears at the farmer's market. 3 5 of this weight is apples, and the rest is pears. How many kilograms of pears did she sell at the farmer's market?
Answer:
4.1 kilograms
Step-by-step explanation:
A farmer sells 7.6 kilograms of apples and pears at the farmer's market. 3.5 of this weight is apples, and the rest is pears. How many kilograms of pears did she sell at the farmer's market?
= 7.6 kilograms - 3.5 kilograms
= 4.1 kilograms
WILL GIVE BRAINLIEST!
The length of a side of a square is (6x + 6) km. Find the area of the square in terms of
the variable x. km2
HELP giving brainlest and extra points
divide tomato genome and human genome and you'll get
= 0.3
standard form is
3 × 10-¹
Helllohello help please if you want -
3(7d + 4e) = 3 • 7d + 3 • 4e = 21d + 12e
Help me with this!!!
Answer:
z = 9
Step-by-step explanation:
7z = z + 54
7z - z = 54
6z = 54
z = 54 / 6
z = 9
Sea f(x) = 5x + 3 entonces f(6) = ?
Answer:
f(6)=33
Step-by-step explanation:
f(6)=5(6)+3
f(6)=30+3
f(6)=33
PLEASE HELP ME GIVING BRAINLEST AND NO LINKS!!!
Answer:
1.)280 2.)142.5 3.)30
Step-by-step explanation: