Answer:
3x+y=23
6x-y=50
2(3x+y)=2(23)
6x+2y=46
(6x-y)-(6x+2y)=50-46
-3y=4
y=-4÷3
=-4/3
x=[23-(-4/3)]÷3
=24/1/3÷3
=73/3÷3
=73/9
What is the value of cosx/tanx ....
Answer:
Step-by-step explanation:
Hyp = √(3² + 4²) = 5
cosx = adj/hyp = 3/5
tanx = opp/adj = 4/3
3/5 / 4/3 = 3/5•3/4 = (3•3)/(5•4) = 9/20
int) Write a variable expression for the length of the bottom black bar with a being the length of the orange bar:
Answer:
let the top bar be x
the bottom seems to be 4 times more the length so the formula might be simply 4x
Select all the correct locations on the number line.
Steve paid 10% tax on a purchase of $40. Select the dollar amount of the tax and the total dollar amount Steve paid on the number line.
Answer:
tax - $4
amount paid - $44
Step-by-step explanation:
tax = percent*original price
tax = 0.1*40
tax = 4
tax+original price = total amount paid
4+40=44
what is the important variable in the problem?
Gary had a pizza party for his friends 14 people showed up, and they had 50 pieces of pizza. How many pieces of pizza did each person have?
Answer:
3
Step-by-step explanation:
each friend would have 3 pizzas
Please look at the picture for question.
Answer:
Step 1
Step-by-step explanation:
h/0.5 = 7
In step 1, he need to multiply 0.5 on both sides.
Instead, he divided 0.5 to 7 ( i.e ) 7/0.5, This is the mistake.
The correct solution,
Step 1 :
h/0.5 • 0.5 = 7 • 0.5
Step 2 :
h = 14
Four pounds of apples cost $3.88. What is the price per pound?
Answer:
97 cents per pound
Step-by-step explanation:
3 dollars÷4=75 cents
88÷4 =22
75+22=97
Solve the inequality 4x -2 ≥ 3x -2/5
Answer:
x ≥ [tex]\frac{8}{5}[/tex]
Step-by-step explanation:
(If you need step-by-step please request)
Evaluate: 94/5 x 31/2. Step by step please :)
See the attached image for the steps.
Answer = 291.4
PLEASE HELP IT IS DUE RIGHT NOW!!!
WILL MARK BRAINLIEST!!!!!
Answer:
(1,9)
Step-by-step explanation:
rhdufbfoehfjigvjf
Last week Jason had 41 dollars. He washed cars over the weekend and
now has 71 dollars. How much money did he make washing cars ?
Answer:
$30
Step-by-step explanation:
Answer:
subtract 41 from 71 and you'll get $30
PLEASE HELP MEEEE!!!!!!!!!
Answer:
a) 1,144 rad/min
b) 182.1 rev/min
Step-by-step explanation:
d= 24 inches
radius = 24/2 or 12 inches
speed = 13mi/h
need to convert speed to inches/min
v = Θ * r
1 mile = 63360 inches, and 1 hour = 60 min
13 mi * (63360 in / mi)
= 823680 in / (1 hr * 60 min / hr)
=13728 in/min
Now go back to the equation
13728 in / min = ω * 12 in
13728 /12 = Θ
1,144 rad/min
b) 1 revolution = 2π
w= Θ/2π
w= 1,144rad/ min/2pi rad
w= 182.1 rev/min
The governor of state A earns $51,615 more than the governor of state B. If the total of their salaries is $291,335, find the salaries of each.
Answer:
A = $171,475, B = $119,860
Step-by-step explanation:
A represents the salary of the governor of state A.
B represents the salary of the governor of state B.
A is $51615 larger than B, so you get the equation:
A = B + 51615
The total of the two salaries is $291335, so you can the second equation:
A + B = 291335
Using the first equation, substitute the quantity (B + 51615) for A in the second equation.
(B + 51615) + B = 291335
2B + 51615 = 291335
2B = 239720
B = 119860
Plug this value of B back into either of the equations.
A = B + 51615 = 119860 + 51615 = 171475
The width of a rectangle is 10 centimeters and the length of the rectangle is 17 centimeters. Which measurement is closest to the length of the diagonal of this rectangle in centimeters?
The measurement which is closest to the length of the diagonal of this rectangle in centimeters is; 20 centimetres.
The diagonal of the rectangle is the line which divides the rectangle into 2 right angled triangles.
In essence, the diagonal of the rectangle is the hypothenus of either of the triangles and can be evaluated as follows;
By Pythagoras;
Diagonal, D² = 17² + 10²D² = 289 + 100D² = 389D = √389D = 19.72 centimeters.D is approximately 20 centimetres.
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the mark obtained by six boys in a test are 20,25,15,30,28 and 16. Find the mean mark.
Answer:
22.3333333
Step-by-step explanation:
Mean = the sum of all of the numbers divided by the amount of numbers given. The sum (134) was divided by the number of numbers (6) to get 22.3333333. This is not 22 and 3 repeating, since my calculator would've rounded the last digit to 4.
A customer buys a different DVD that has an original selling price of $28. The DVD is discounted by 15%. The customer must pay a 5% sales tax on the discounted price of the DVD.
What is the total amount, in dollars, the customer pays for the discounted DVD?
answer is 27.2$ of all pay
Of 120 students writing an exam 100 are expected to pass the estimated probability of a student failing the exam is?
what is the slop of the line that passes through the points (-2,3) and (-14,-5)? write your answer in simplest form.
Answer:
2 / 3
Step-by-step explanation:
( x1, y1 ) = ( - 2, 3 )
Here,
x1 = - 2
y1 = 3
( x2, y2 ) = ( - 14, - 5 )
Here,
x2 = - 14
y2 = - 5
Formula : -
Slope = ( y2 - y1 ) / ( x2 - x1 )
Slope = ( - 5 - 3 ) / ( - 14 - ( - 2 ) )
= - 8 / ( - 14 + 2 )
= - 8 / - 12
Slope = 2 / 3
I need help ASAP!! if you help me you will get 10 pts, and if you can please help explain!
Answer:
(a) 55
(b) 63
(c) 45
Step-by-step explanation:
All four angles in a rectangle are right angles, so ∠PMN is 90∘.
∠PMN+35∘=90∘
which is the same as saying
∠PMN=90∘−35∘.
Thus, ∠PMN=55∘.
and (b) is the same so:
∠STU is 90°
∠STU = 90° − 27°
∠STU = 63°
and for (c) each angle of a square measure 90°
∠DAB= 90° − 45°
∠DAB = 45°
Safe Combination. The author owns a safe in which he stores all of his great ideas for the
next edition of this book. The safe combination consists of four numbers between 0 and 99. If
another author breaks in and tries to steal these ideas, what is the probability that he or she will
get the correct combination on the first attempt? Assume that the numbers are randomly
selected. Given the number of possibilities, does it seem feasible to try opening the safe by
making random guesses for the combination?
Answer: 1/96059601
Don't break in
Step-by-step explanation:
First we need to find how many combinations there are.
We can find that by multiplying the four different number of options which in this case are all 99.
99 * 99 * 99 * 99
= 96059601
There are 96059601 different combinations and one correct combination.
So, the chance of them getting it is 1/96059601
It is definitely not a nice number so probably don't try and break in.
Use the diagram to find the angle measures of triangle. Recall that the sum of the angle measures of a triangle 180
Johnny's home is m miles from school. Johnny runs to school at a speed of 8 mph and then walks home from school at half that speed. Suppose it take johnny 15 longer to walk to home than to run to school. Write an equation that shows this relationship.
Answer:
first we know the speed from home to school is 8mph and from school to home is half that speed so 4 miles per hour
now,
from home to school it takes: m/8 hours
and from school to home m/4 hours
we can pass it to minutes multiplying by 60
so:
from home to school it takes: m*7.5 minutes
and from school to home m*15 minutes
and now the relations between these two amount of minutes is that takes 15 more from school to home so:
7.5m+17
Step-by-step explanation:
I need help with these, quality is blurry.
Answer:
I have no idea sorryyyyyyu
PLEASE HELP ME URGENT!!!!!!!!
Help with this problem please.
Answer:
im pretty sure the answer is =Line D.
Answer:
I think its Line D
Step-by-step explanation:
-7 is the y-intercept, so if line D keeps going down it will land on the y-intercept
The temperature in the production department is 21°C at 12 noon. If
the temperature increases 1.5° C every hour, what will the temperature
be at 5 pm?
28.5 (I don't know if this is fully correct)
What is the range of the relation graphed below?
Answer:
a
Step-by-step explanation:
Find the surface area of the following cylinder.
Round your answer to the nearest square centimeter.
The surface area, to the nearest square centimeter, of the given cylinder is: 182 cm²
Recall:
Surface area of a cylinder = 2πrh + 2πr²From the diagram given, we have:
radius (r) = half of diameter = 10/2 = 5 cmheight (h) = 0.8 cmSubstitute each value into the surface area formula for a cylinder.
Thus:Surface area = 2(π)(5)(0.8) + 2(π)(5²)
Surface area = 182.212
Therefore, the surface area, to the nearest square centimeter, of the given cylinder is: 182 cm²
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PLEASE HELP 20 POINTS
What is the value of the expression 5(6/12-1/4) + 0.5
Answer:
5/8
Step-by-step explanation:
First you need to reduce the fractions then you choose a common denominator to calculate:6/12=1/2 then you see the you see 1/4 can be a common denominator so you equal 1/2 to the denominator by 4, which means multiplying 2 by both the numerator and denominator, we get 2/4 after that you add and subtract in parentheses and you will get 1/4 then you multiply by 5 to get 5/4 the finally you have to plus 0,5 you will get 7/4 done.
A pattern has 32 blue squares for every 35 purple squares. What is the ratio of blue squares to purple squares?
Answer:
32:35 is the ratio to your question.
Blue squares : Purple squares = 32 : 35
What is Ratio?Ratio is defined as a relationship between two quantities, it is expressed one divided by the other.
A pattern has 32 blue squares for every 35 purple squares.
∵ 32 Blue squares : 35 Purple squares
∴ Blue squares : Purple squares = 32 : 35
The ratio of blue squares to purple squares = 32 : 35
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What is 2x123 divided by 2
Answer:
123
hope this helps!
mark brainliest please
Step-by-step explanation:
