- 4x – 4y = 24
3x + 10 = y
Answer:
x=-4,\:y=-2
Step-by-step explanation:
Answer:
x=-4
y=-2
Step-by-step explanation:
-4x-4y=24. .........1
3x+10=y...........2
since y is already isolated in equation 2 we can substitute the y value
subs 2 into 1
-4x-4(3x+10)=24.
-4x-12x-40=24
-16x=24+40
x=-4.....3
subs 3 into 2
3(-4)+10=y
-12+10=y
-2=y
Pre college need help this
A deposit of $1000 is made in an account that earns 8% interest compounded quarterly. The balance in the account after n quarters is given by the following sequence. Find the balance in the account after ten years.
a
=100.000)
n=1,2,3
The balance after ten years.
The balance after ten years is $2,208.04.
When an amount of money is compounded quarterly, it means that the amount deposited and the interest earns interest every quarter. The formula that can be used to determine the balance in 10 years is:
FV = P (1 + r)^nm
FV = Future value P = Present value = $1000 R = interest rate = 8%/4 = 2% m = number of compounding = 4 N = number of years = 10$1000 x (1.02)^40 = $2,208.04
To learn more about future value, please check: https://brainly.com/question/18760477
A group of students organized a car wash to raise money for a local charity. The students charged $9.99 for each car they watched.In 3.5 hours they washed 14 cars.at that rate how much money could they earn in 8 hours?
Answer:
First you would divide 12 cars by 3 hours to see how many cars get washed per hour
Then you know that 4 cars get washed in one hour so you multiply it by $5.00 because you want to see how much money they earn in one hour
After you know they earn $20.00 per hour you multiply that by 8 because you want to see how much money they earn in eight hours
So your final answer is $160 for washing cars in 8 hours
Help help help math math math
Answer:
x=12
Step-by-step explanation:
[tex](4x + 15) + (x + 5) = 180 \\ 5x + 20 = 180 \\ 5x = 60 \\ x = 12[/tex]
Answer:
12
Step-by-step explanation:
11. Select the proper order from least to greatest for 2/3, 7/6, 1/8, 9/10.
O A.1/8, 2/3, 9/10, 7/6
O B.2/3, 9/10, 7/6, 1/8
O C.7/6,9/10, 2/3, 1/8
O D. 1/8, 9/10, 7/6, 2/3
Step-by-step explanation:
Option A is the correct answer
Answer:
A is correct
Step-by-step explanation:
[tex]\frac{1}{8}[/tex] is 0.125
[tex]\frac{2}{3}[/tex] is 0.667
[tex]\frac{9}{10}[/tex] is 0.9
[tex]\frac{7}{6}[/tex] is 1.167
which from this you can see that A represents the order from smallest to largest
LSAT test scores are normally distributed with a mean of 150 and a standard deviation of 6. What score would place you in the top 2% of test-takers
Answer:
150 and standard deviation of 9. Queen s School of Business in Kingston, Ontario requires
Step-by-step explanation:
…………..
can you help me solve
Answer:
A
Step-by-step explanation:
2^2 - 2 = 2
3^2 - 2 = 7
1^2 - 2 = -1
-1^2 - 2 = -1
Dr. M wanted to estimate the mean cholesterol level for men living in Hartford. He took a sampled of 20 men from Hartford and found that mean cholesterol level is 86 with a standard deviation of 12. He wants to construct a 99 % confidence interval for mean cholesterol level of men.
In this case, the level of significance a and the critical value?
Answer:
answer is in an image here
imageshare.best/image.php?id=JS9NDO
Explanation:
copy n paste in browser
not a bot btw
Which triangle has vertices (–3, –5), (7, 4), (0, 4)?
Answer:
see attached
Step-by-step explanation:
The one that matches the triangle shown in the attachment has the given vertices.
Figure F is a scaled copy of E.
What is length of each missing measurement.
Answer:
answer
Step-by-step explanation:
what are do u mean what is f and e explain properly and then people will tell u
Daisy had 2 3/4
bags of mulch to put in her yard. Each bag will cover 235.5 ft2
. How much square feet will she be able to cover is she uses all of the bags of mulch?
help me plsssssss
Answer:
mmmmmmm
Step-by-step explanation:
n
Daisy will cover a total area of 647.625 square feet, if she uses all of the bags of mulch.
The amount of mulch is given as:
[tex]Bag = 2\frac 34[/tex]
The area covered by each bag is given as:
[tex]Area = 235.5ft^2[/tex]
If she uses all bags, the total area covered by the bags is:
[tex]Total = Bag \times Area[/tex]
So, we have:
[tex]Total = 2\frac 34 \times 235.5ft^2[/tex]
Rewrite the fraction as an improper fraction
[tex]Total = \frac {11}4 \times 235.5ft^2[/tex]
This gives
[tex]Total = \frac {2590.5}4 ft^2[/tex]
[tex]Total = 647.625 ft^2[/tex]
Hence, she will be able to cover a total area of 647.625 square feet
Read more about areas at:
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3 movie tickets cost 36$. at this rate, the cost per ticket is $..
Answer: The cost per ticket is $12.
Step-by-step explanation:
HELP ME ASAP
Name the property below
9(x-5) = 9x -45
A. distributive
B. commutative
Answer:
A. distributive
Step-by-step explanation:
You would multiply the 9 with the x to get 9x, and then you would multiply the 9 with the negative -5 to get 9x-45.
if you help me with this i’ll mark you brainlest if you are the first to answer.
Answer:
m∠1 = 97
m∠2 = 83
m∠3 = 97
m∠4 = 83
Answer:
m∠1 = 97°
m∠2 = 83°
m∠3 = 97°
m∠4 = 83°
Step-by-step explanation:
180 - 97 = 83°
180 - 83 = 97°
Can someone help please?
5) 13,971.3 ÷ 2.1= What's the answer
It takes 6 hours to clean and detail a luxury car. During the morning of
cleaning, the workers were able to clean for 4 hours. If the variable t stands
for the amount of time the workers have left to clean the windows after lunch,
which of the following units could apply to this variable?
please get this done asap
Answer:
1)2 2)2y=4 y=2 x=1
Step-by-step explanation:
Can someone help me with this
Hello! Please mark Brainliest for the explanation!
Answer:
Area: 10 inches
Step-by-step explanation:
As the paper itself states, the area of a triangle would be
1/2bh
Simply plug the given values in!
1/2(5)(4) =
1/2(20)=
10
Have a wonderful day!
Answer:
Area = 10 units
Skills needed: Triangle Theory, Substitution of Values
Step-by-step explanation:
1) We are given that the formula to finding the area of the triangle is [tex]\frac{1}{2}bh[/tex].... this essentially means that it is: [tex]\frac{1}{2}[/tex] times base (b) times height (h)
2) We can then use substitution to solve this. IN the diagram shown there, 4 is the base, and the height is 5 (since b = base, and h = height).
Area is [tex]\frac{1}{2} * b * h[/tex] in general (the * means multiplication)
Substitute in the values and it is: [tex]\frac{1}{2} * 4 * 5[/tex]
--> [tex]4*5=20[/tex]
--> [tex]\frac{1}{2} * 4*5 = \frac{1}{2} * 20 = 10[/tex]
1/2 of 20 is ten, so that is how we arrive at that final answer.
Hope you understand, have a great day :)
Pls need help
Also making this 10 points so i have 169 points left B)
Answer:
Second and fourth
Step-by-step explanation:
A line is in point-slope form when you write down as [tex]y-y_0=m(x-x_0)[/tex] - do not be distracted by the signs, +1 and +5 can both be written as -(-1) or -(-5) rispectively.
I need help bad. It's about finding angles and I can't really figure it out.
=========================================================
Explanation:
Angle BFE is 117 degrees. The adjacent angle to this (angle BFA) is 180-117 = 63 degrees since the two angles form a straight line, and must add to 180.
Now because BD is parallel to AE, we know that the alternate interior angles BFA and FBD are the same measure. This makes angle FBD to be 63 degrees.
We're told that segment BF bisects angle ABD. That indicates the two smaller pieces (angles ABF and FBD) are the same measure. Both are 63 degrees in this case.
Let x be the measure of angle DBC. This angle will add to angles ABF and FBD to form a 180 degree straight angle
(angleABF) + (angleFBD) + (angleDBC) = 180
(63) + (63) + (x) = 180
x+126 = 180
x = 180-126
x = 54
Angle DBC is 54 degrees.
-----------------------
The last set of steps has us focus on triangle BCD. The three angles of any triangle always add to 180.
B+C+D = 180
54 + 85 + D = 180
139 + D = 180
D = 180-139
D = 41
Angle CDB is 41 degrees, and so is angle CEA as they are corresponding angles. Corresponding angles are congruent when we have parallel lines like this.
Therefore, angle E is 41 degrees.
The diagram is below showing all of the angles we found.
The sequence, 20, 27, 34, 41, 48... represents the number of NEED HELP ASAPPPPP!!!strawberries Sandy picked from her garden
last week, starting with the first day of the week.
(a) What is the recursive formula for the sequence?
(b) What is the explicit formula for the sequence?
(c) How many strawberries will Sandy pick on the tenth day?
Answer:
Either (c) or (a), (B also looks like a good answer, but I'd go for c)
Step-by-step explanation:
If I'm inincorrect, I apologize!
What is the volume if a cylinder with height 13 and radius 6?
A washer and a dryer cost $686 combined.The washer cost $64 less than the dryer.What is the cost of the dryer?
Answer:
Step-by-step explanation:
375
Step-by-step explanation:
the washer cost is 311 the dryer 375
Melanie was training for a race. The line plot below shows the number of miles Melanie ran last week.
2. How many times did Melanie run ½ a mile?
Answer:
5 miles
Step-by-step explanation:
add the points together.
it seems like each point is how many miles they ran each day.
1/4 + 2(1/2) + 3/4 + 3(1) = 5
QUESTION 1
A conical cup is 4 cm across and 6 cm deep. Water leaks out of the bottom at the rate of 2 cm/sec. How fast (in cm/sec) is the water level dropping
when the height of the water is 3 cm?(Round your answer two (2) decimal places)
The water level will be dropping at the rate of [tex]0.64 cm/sec[/tex] when the height of the water reaches [tex]3cm[/tex]
We are give a cone with dimensions as seen in the diagram in the attached image.
The volume changes at the rate
[tex]\frac{dV}{dt}=-2cm^2/sec[/tex]
the negative sign is used because the volume of water is reducing.
what we need to know is the rate the height is changing when [tex]h=3cm[/tex]. That is, we need to evaluate
[tex]\frac{dh}{dt}|_{h=3cm}[/tex]
The relationship between the volume and the height is given by
[tex]V=\frac{1}{3}\pi r^2h[/tex]
but both [tex]h[/tex] and [tex]r[/tex] are changing when [tex]V[/tex] changes. So we need to eliminate [tex]r[/tex] somehow. From the diagram, we can use the similar triangle property to accomplish this
[tex]\frac{r}{2}=\frac{h}{6}\\\\\implies r=\frac{h}{3}[/tex]
substitute into the volume formula to eliminate [tex]r[/tex]
[tex]V=\frac{\pi h^3}{27}[/tex]
differentiate both sides with respect to time, [tex]t[/tex], since both the volume and height are functions of time. They will both be differentiated implicitly
[tex]\frac{dV}{dt}=\frac{\pi h^2}{9}\frac{dh}{dt}[/tex]
to find [tex]\frac{dh}{dt}|_{h=3cm}[/tex], substitute the values for [tex]\frac{dV}{dt}[/tex] and [tex]h[/tex]
[tex]-2=\frac{\pi 3^2}{9}\frac{dh}{dt}\\\\\frac{dh}{dt}=-\frac{2}{\pi}\\\\\approx -0.64 cm/sec[/tex]
So the rate at which the height is reducing when it reaches [tex]3cm[/tex] is [tex]0.64cm/sec[/tex]
Learn more about related rate of change here: https://brainly.com/question/15576763
If 23 is added to a number, the result is 41 less than twice the number.
Answer:
x + 23 = 2x - 41
Step-by-step explanation:
I'm not too sure how to explain the correctness of the answer but I know that it's:
x + 23 = 2x - 41
b. What is the area of the surface of Crater Lake?
Give a step by step explanation
Answer: 23.76 miles
Step-by-step explanation:
You are basically finding the perimeter for question a
given that perimeter is [tex]\pi[/tex]d
Subsitute the values
So perimeter = [tex]\pi[/tex] x 5.5 = 5.5 [tex]\pi[/tex] miles = 17.28 miles (2.d.p)
For question b, the area of the surface of Crater lake is finding its area
Given that area of a circle is [tex]\pi r^{2}[/tex]
Substitute the values
Because 5.5 is the diameter, to find the radius, divide by 2 to get 2.75
Area = 2.75^2 x [tex]\pi[/tex] = 7.5625[tex]\pi[/tex] = 23.76 miles^2 (2.d.p)
The diagonal of a side of rhombus are of equal length. Find the measures of angles of the rhombus.
Explanation:
Consider ABCD is a rhombus
We know that
All sides are equal in rhombus i.e,
⇛AB=BC=CD=DA
and AC and BD are digonals
Given that
Diagonal and the side of the rhombus are equal.
⇛AB = BC = CD = DA = AC
Diagonal AC divides the rhombus into two triangles .
They are ∆ BAC and ∆ DAC
In triangle BAC
BA=BC=AC,(Given)
⇛∠ BAC=∠ABC= ∠ACB =60°→→→Eqn(i)
Similarly in ∆DAC ,
DA=DC=AC
⇛∠DAC=∠ACD=∠ADC=60°→→→Eqn(ii)
From eqn(i) and eqn(ii)
∠A=∠BAC+∠DAC=60°+60°=120°
and
∠B= ∠ABC = 60°.
and
∠C=∠ACB+∠ACD=60°+60°=120°
and
∠D =∠ADC=60°
∴ ∠A = 120° , ∠B = 60° ,∠C = 120° & ∠D = 60°
Answer:-The measures of the all angles in the rhombus are 120° , 60° ,120° and 60°.
Note: [Figure refers in the attached file.