Answer:
1. c = 9/2
2. r = 21/4
3. x = -2/3
4. m = 5/2
Step-by-step explanation:
1.
1 - 2c = -8
Subtract 1 from both sides to isolate the variable:
-2c = -8 - 1 = -9
Divide by -2 to further isolate the variable:
c = (-9) / (-2) = 9/2
So, the answer is c = 9/2.
2.
-8/7r = 6
To isolate the variable, divide both sides by -8/7:
r = (-6) / (-8/7)
Remember that when dividing fractions, it's the same as multiplying by the reciprocal of the divisor, so:
r = (-6) / (-8/7)
r = (-6) * (-7/8) = 42/8 = 21/4
So, the answer is r = 21/4.
3.
4 - 4 * (4 - x) - 4x = 18x
We need to use order of operations and expand the 4 * (4 - x) part first:
4 * (4 - x) = 16 - 4x
Put this back in:
4 - (16 - 4x) - 4x = 18x
4 - 16 + 4x - 4x = 18x
Combine like terms:
-12 = 18x
Divide by 18 on both sides:
x = -12/18 = -2/3
So, the answer is x = -2/3.
4.
1/5m + 3 = 7/5m
Subtract 1/5m from both sides:
3 = 7/5m - 1/5m = 6/5m
Divide both sides by 6/5:
m = 3 ÷ (6/5) = 3 * (5/6) = 15/6 = 5/2
So, the answer is m = 5/2.
Answer:
1. c = 9/2
2. r = -21/4
3. x = -2/3
4. m = 5/2
Step-by-step explanation:
1-2c = -8
1 + 8 = 2c
9 = 2c
c = 9/2
-8/7r = 6
r = 6 × 7/-8
r = 3 × 7/-4
r = -21/4
4-4 (4-x) -4x = 18x
4 - 16 + 4x - 4x = 18x
-12 = 18x
x = -12/18
x = -2/3
1/5m + 3 = 7/5m
3 = (7/5 - 1/5)m
3 = 6/5m
m = 3 × 5/6
m = 5/2
Not all of it fits but if someone could please help me with what they can I would really appreciate it!!
Answer:
1.A≈78.54 2.A≈50.27 3. A≈201.34 4. A≈313.84
Step-by-step explanation:
Faith makes beaded necklaces that she sells for $3 each. She manages to sell two necklaces every day for 7 days. If she wants to make $60, what equation shows the money ‘E' she still needs to make at the end of 7 days? A. 60 − (3×2×7) = E B. 60 − (3×2×7) = E C. 60 − (3×2×7) = E D. 60 − (3×2×7) = E
Answer:B
Step-by-step explanation:
Answer:
All of the answers. They're all the same.
Step-by-step explanation:
A. 60 − (3×2×7) = E
B. 60 − (3×2×7) = E
C. 60 − (3×2×7) = E
D. 60 − (3×2×7) = E
How I'd solve it:
3×2×7=42
60-42=
18
All of the answers are the same and all correct.
80% equals 1200, then what budget is 100%?
Answer:
$1500
Step-by-step explanation:
Let's start by converting 80% to a decimal. 80% means 80/100, or 0.8. Let's call the full budget b.
0.8b=1200
Divide both sides by 0.8 to isolate b:
b=1200/0.8=$1500
Hope this helps!
so there's this cone stuff and i needa know
Hey there! I'm happy to help!
To find the volume of a cone, you take the area of the base, multiply it by the height and divide it by three.
We see that the radius of our base is three. To find the area of the base, we will square the radius and multiply it by 3.14 (formula for area of circle).
3²=9
9×3.14= 28.26
We multiply it by the height.
28.26(2)=56.52
We divide it by three.
56.52/3=18.84
Therefore, the area is 18.84 units cubed.
Now you can find the volume of cones! I hope that this helps! Have a wonderful day!
Exercise 3 A pipe discharges wine into a 1.5-m-diameter tank. Another pipe (15 cm diameter), located near the base of the tank, is used to discharge wine out of the tank. Calculate the volumetric flow rate into the tank if the wine level remains constant at 2.5 m.
Answer:
Volume flow rate, Q, into the tank is 12.376 m³
Step-by-step explanation:
Here we have Bernoulli's equation presented as follows
[tex]\frac{P_{1}}{\rho _{1}g}+\frac{v_{1}^{2}}{2g} + z_{1} = \frac{P_{2}}{\rho _{2}g}+\frac{v_{2}^{2}}{2g} + z_{2}[/tex]
Where:
P₁ = Pressure, of the open tank = Atmospheric pressure = 0
P₂ - Pressure at the discharge of the pipe = Atmospheric pressure = 0
ρ₁ = Density of the fluid = ρ₂
v₁ = Velocity of the fluid in the tank
v₂ = Velocity of the fluid in the pipe
d₁ = Diameter of the tank = 1.5 m
d₂ = Diameter of the pipe = 15 cm = 0.15 m
A₁ = Cross sectional area of tank = π×d₁²/4 = 1.767 m²
A₂ = Cross sectional area of pipe= π×d₂²/4 = 0.01767 m²
z₁ = Level of water in the tank = 0 m
z₂ = Level of water in the pipe = 2.5 m
Whereby the level remains constant at 2.5 m, pressure at the base, P₂ = ρ₁×g×2.5
Also
v₁×A₁ = v₂×A₂ which gives;
v₁×1.767 = v₂×0.01767
v₂ = v₁×1.767/0.01767 = 100·v₁
Hence we have;
[tex]\frac{0}{\rho _{1}g}+\frac{v_{1}^{2}}{2g} + z_{1} = \frac{0}{\rho _{1}g}+\frac{(100v_{1})^{2}}{2g} + z_{2}[/tex]
[tex]z_{1} - z_{2} = \frac{(100v_{1})^{2}}{2g}- \frac{v_{1}^{2}}{2g}[/tex]
[tex](2.5)2g = 99v_{1}^{2}}[/tex]
v₁² = 2.5×2×9.81 = 49.05
v₁ = √49.05 = 7.0035 m/s
Therefore, since the rate of discharge = Rate of entry into the tank, we have;
Volume flow rate, Q, into the tank = v₁×A₁ = 7.0035 m/s × 1.767 m² = 12.376 m³.
Adding which terms to 3x2y would result in a monomial? Check all that apply
Answer:
By adding 12x²y and 4x²y result will be a monomial.
Step-by-step explanation:
Given question is incomplete; here is the complete question.
Adding which terms to 3x²y would result in a monomial? Check all that apply.
3xy
–12x2y
2x2y2
7xy2
–10x2
4x2y
3x3
1). 3x²y + 3xy → [Binomial]
2). 3x²y - 12x²y = -9x²y → [Monomial]
3). 3x²y + 2x²y² → [Binomial]
4). 3x²y + 7xy² → [Binomial]
5). 3x²y - 10x² → [Binomial]
6). 3x²y + 4x²y = 7x²y → [Monomial]
7). 3x²y + 3x³ → [Binomial]
Therefore, by adding 12x²y and 4x²y result will be a monomial.
Can someone pls help! I'm desperate Tickets to a Broadway show cost $50 for adults and $25 for children. The total receipts for 1710 tickets at one performance were $70,250. How many child tickets were sold?
Answer:
41 children
Step-by-step explanation:
do it yourself..
Find the probability of
1: choosing a yellow marble from a bag that contains 6 yellow marbles and 8 red marbles,
and
2: flipping a coin and it showing heads.
Answer:
1)probability of choosing a yellow marble is 6/14 or 3/7(in lowest terms)
2)probability of showing its heads is 1/2
Consider a triangle ABC like the one below. Suppose that C equals 97° a equals 40 and b equals 17 sold the triangle carry your intermediate computations and to at least four decimal places around your house or to the nearest 10th if there are more than one solution use the button labeled or
Answer:
c = 45.33, C =97°, a = 40, A = 61.15° , B = 21.85°, b = 17
Step-by-step explanation:
Given that:
C = 97°, a = 40 and b = 17.
We have angle C, we need to find the side the side c opposite to the angle C. we have side a, we need to find the angle A opposite to side a. we have side b, we need to find the angle B opposite to side b.
Using cosine rule:
c² = a² + b² - 2ab × cos(C)
c² = 40² + 17² - 2(40)(17)cos(97)
c² = 2054.74
c = 45.33
Also using sine rule:
[tex]\frac{a}{sin(A)} =\frac{c}{sin(C)} \\\frac{40}{sin(A)}=\frac{45.33}{sin(97)} \\sin(A)=\frac{sin(97))40}{45.33}=0.876\\A=sin^{-1}(0.876)=61.15^0[/tex]
Also:
[tex]\frac{b}{sin(B)} =\frac{c}{sin(C)} \\\frac{17}{sin(B)}=\frac{45.33}{sin(97)} \\sin(B)=\frac{sin(97))17}{45.33}=0.3722\\B=sin^{-1}(0.3722)=21.85^0[/tex]
c = 45.33, C =97°, a = 40, A = 61.15° , B = 21.85°, b = 17
Find the lateral surface area of the cylinder. Round your answer to the nearest tenth
Answer:
Step-by-step explanation:
[tex]A_L=2\pi rh[/tex]
Which is the answer?
Simplify (5^3)^6 leaving your answer in index form
[tex]( {5}^{3} ) ^{6} = {5}^{3 \times 6} = {5}^{18} [/tex]
Answer:
5^18.
Step-by-step explanation:
By the law of indices:
(a^b)^c = a^(bc)
So (5^3)^6
= 5^(3*6)
= 5^18.
Whats 2x2x2x2x2x2x2x2x2x2x2x2x2
Answer:
8,192....this is the answer
Find the probability of
1: choosing a yellow marble from a bag that contains 6 yellow marbles and 8 red marbles,
and
2: flipping a coin and it showing heads.
Answer:
1ans) 6/14 or 3/7 probability
2ans) 1/2 or a 50% chance
someone please help me!! i kept get this one wrong im trynna get a 100%
question:
a sweater is marked down 15% off the original price. if the original price was $49.00, what is the sale price for the sweater before sales tax?
Answer:
41.65
Step-by-step explanation:
Multiply 49 by 0.15 and then subtract that number from 49.
A company recorded 2 days of accrued salaries of $2,200 for its employees on January 31. On February 9, it paid its employees $8,600 for these accrued salaries and for other salaries earned through February 9. Assuming the company does not prepare reversing entries, the January 31 and February 9 journal entries are:
Which set of numbers can represent the side lengths, in centimeters, of a right triangle?
O 8, 12, 15
O 10, 24, 26
O 12, 20, 25
O 15, 18, 20
A stackable CD rack holds 20 CDs and costs $3. Mark has a collection of 120 CDs. How much will it cost him to buy enough racks to hold all of his CDs?
Answer:
You would need $18 total to buy the racks needed.
Step-by-step explanation:
First, every 20 CDs needs a new rack, so you would divide 120 by 20.
120 / 20 = 6 racks
Second, you would multiply the price ($3) of a rack by how many racks needed.
3 * 6 = $18
1. The measure of angle GHI is 120° Angle GHI is cut in half with ray HK, if angle
GHK is 3x + 48what is the value of x?
Answer:
The value of x = 4
Step-by-step explanation:
In this question, we are asked to calculate the value of the angle x
Here the ray cuts the angle into half.
Since the total of the angle was 120, half of this would be 120/2 = 60
Now, it is this value of 60, that our new angle equals to
Mathematically;
3x + 48 = 60
3x = 60-48
3x = 12
x = 12/3
x = 4
each leg of a 45 45 90 triangle measures 12cm, what is the length of the hypotenuse
Answer:
12√2
Step-by-step explanation:
Use the Pythagorean Theorem here:
(12 cm)^2 + (12 cm)^2 = 288 cm^2.
The length of the hypotenuse is √288 = (√4)(√72) = 2(√36)(√2) = 12√2
Given that both legs of a 45, 45, and 90 degree triangle are 12cm, find out the length of the hypotenuse.
To solve for the hypotenuse, we will use the Pythagorean Theorem.
The formula to find the hypotenuse is:
a^2 + b^2 = c ^2
We already know that both legs are 12cm, so we can plug them in.
12^2 + 12^2 = c^2
Solve.
144 + 144 = c^2
Add.
288 = c^2
Find the square root of 288.
sqrt(288) = 16.97
Therefore, the square root of 288 is 16.97
If we round 16.97 to 17 and then square it, that would equal 289.
So, the best choice is to leave it as 16.97.
Thus, the length of the hypotenuse is 16.97 or 17 if you want to round it.
Look at the image below and write what each exponent means, But don’t determine the value.
Answer:
a) 5×5×5
b) 2×2×2×2×2×2
Step-by-step explanation:
An exponent determines how many times you multiply the number by itself.
Examples: 2² = 2×2
4³ = 4×4×4
Hope this helps!
Select the correct answer. Based on these segment lengths, which group of segments cannot form a triangle? A. 12, 7, 8 B. 8, 7, 13 C. 1, 2, 3 D. 80, 140, 70
Answer:
D. 80, 140, 70
Step-by-step explanation:
80°, 140° and 70° cannot form a triangle as the total number of the three angles is 290° whereby the total number of angles in a triangle is 180°
Answer:
80, 140, 70
Step-by-step explanation:
because
Scientists determined that Antarctica's average winter temperature was -34.44 degrees Celsius. The difference between this and Antarctica's highest recorded temperature was 49.44 degrees. What was Antarctica's highest recorded temperature? (7th grade work)
Answer:
Antarctica's highest recorded temperature was 15 degrees.
Step-by-step explanation:
I am going to say that Antarctica highest recorded temperature is x.
I suppose there is a small typing mistake.
It is that the difference between Antarctica highest recorded temperature and this is 49.44.
So we have that x - (-34.44) = 49.44 instead of -34.44 - x = 49.44, which would lead to a highest temperature way lower than the one recorded in this winter.
So
x - (-34.44) = 49.44
x + 34.44 = 49.44
x = 49.44 - 34.44
x = 15
Antarctica's highest recorded temperature was 15 degrees.
Answer:
15 degrees
Step-by-step explanation:
Explain the steps in calculating the mean absolute
deviation of a set of data.
Answer:
Step-by-step explanation:
First, add each number in the set of data. Then, divide the sum by the count of numbers in the data set.
example:
DATA SET:
5 4 7 6
MEAN STEP 1:
5 + 4 + 7 + 6 = 22
MEAN STEP 2:
Since there are four numbers in the data set, divide 22 by four.
Answer:
Sample Answer: First, find the mean of the data set by averaging. Next, find the absolute deviations for each data point. That is, find the distance each point is from the mean. Then find the mean of the absolute deviations.
Which did you include in your explanation? Check all that apply.
Find the mean of the set of data.
Find the absolute deviations for each point.
Absolute deviation is a data point’s distance from the data set’s mean.
Find the mean of the absolute deviations.
in the given figure, mBC =118°, mBE=76°, and m
a.) the measure of DE is 48°, and triangle BCD is isosceles.
b.) the measure of DE is 83°, and triangle BCD is isosceles
c.) the measure of DE is 48°, and triangle BCD is not isosceles.
d.) the measure of DE is 83°, and triangle BCD is not isosceles.
Answer:
Correct option: A
Step-by-step explanation:
The angle BDC inscribe the arc mBC, so we have that:
mBDC = (1/2) * mBC
mBDC = (1/2) * 118 = 59°
From the secants relation in a circle, we have that:
mA = (1/2) * (mBC - mDE)
35 = (1/2) * (118 - mDE)
70 = 118 - mDE
mDE = 48°
The sum of the arcs is 360°, so we have:
mBC + mCD + mDE + mBE = 360
118 + mCD + 48 + 76 = 360
mCD = 360 - 118 - 48 - 76 = 118°
The angle mCBD inscribes the arc mCD, so we have:
mCBD = (1/2) * mCD = (1/2) * 118 = 59°
The angles mCBD and mBDC are equal, so the triangle is isosceles.
Correct option: A
Ashley said 3/4 of her stuffed animals have buttons eyes. Pam said Ashley has 15 stuffed animals. is it possible that Pam is correct? Please explain.
Answer:
Pam is correct.
Step-by-step explanation:
Divide 15 by 3 = 5
5 x 4 = 20, the total of toys she has.
A cell phone company charges $42 per month of service. The cost of a new
cell phone, plus 8 months of service, is $415.99. How much does it cost to
buy a new cell phone and 3 months of service?
Answer:
$1247.97
Step-by-step explanation:
$42 per month of service
new phone monthly service is $415.99
415.99 x 3 = 1247.97
Jenny spent 25 minutes doing her reading assignment, and then 1 hour and 15 minutes solving her math homework. What part of this time did she read?
1 hour is 60 minutes.
She spent a total of 60 + 15 + 25 = 100 minutes on home work.
She spent 25 reading, so she spent 25/100 of her time reading.
25/100 reduces to 1/4
Which of the following values is the solution to the equation
m + (-38) = 15 ?
1.)53
2.)-53
3.)-23
4.)23
Answer:
Step-by-step explanation:
m -38 = 15
m = 53
the answer is 1
Answer: the answer to your question is 53...
Explanation: I know I'm super late but let me explain why it's 53...
If you go on a calculator and type 53+ (-38) the answer would be 15 which can only mean that M=53. That is why it is 53 go try it out...
like I said I'm sorry I'm late... Brainliest?
Someone please help me
Answer:
Added 7.4y + 11.2y
Step-by-step explanation:
Let's solve the equation our self and see what the actual solution is,
11.2y - 7.4y = 141.36
→ Multiply everything by 100 to get rid of the decimal's
1120y - 740y = 14136
→ Simplify the 'y' terms
380y = 14136
→ Divide both sides 380 to isolate 'y'
y = 37.2
-------------------------------------------------------------------------------------------------------
The answer is "added 7.4y + 11.2y" because if we use that method then,
7.4y + 11.2y = 141.36
→ Collect the 'y' terms
18.6y = 141.36
→ Divide both sides by 18.6 to isolate y
y = 7.6