Using the drop-down menu below to write an inequality is V ≥ 10. The number of visits she needs to make in order to get a free movie ticket is 10.
We have,
75 rewards points just for signing up.
earns 13.5 points for each visit to the movie theater
she needs at least 210 points for a free movie ticket
To write the inequality representing v is,
75 + 13.5v ≥ 210
13.5v ≥ 210 - 75
13.5 v ≥ 135
v ≥ 10
Therefore, by solving inequality the number of visits she needs to make in order to get a free movie ticket is 10.
Learn more about Free ticket problems:
https://brainly.com/question/28067736
#SPJ4
How much would you have to deposit in
an account with a 8% interest rate,
compounded continuously, to have
$3000 in your account 10 years later?
P = $[?]
Round to the nearest cent.
You would need to deposit approximately $1,347.99 in the account to have $3000 in your account 10 years later, assuming an 8% interest rate compounded continuously.
What is the principal to be deposited?The formula accrued amount in a compounded interest is expressed as;
\(P = \frac{A}{e^{(rt)}}\)
Where A is accrued amount, P is principal, r is interest rate and t is time.
Given that:
Accrued amount A = $3000 Compounded continuouslyTime t = 10 yearsInterest rate r = 18%Principal P = ?First, convert R as a percent to r as a decimal
r = R/100
r = 8/100
r = 0.08
Now, plug the given values into the above formula:
\(P = \frac{A}{e^{(rt)}}\\\\P = \frac{3000}{e^{(0.08\ *\ 10)}}\\\\P = \frac{3000}{e^{(0.8)}}\\\\P = 1,347.99\)
Therefore, the value of the principal is $1,347.99.
Learn more about compound interest here: brainly.com/question/27128740
#SPJ1
GEOMETRY 100 POINTS
Find the value of x
Step-by-step explanation:
Since it's five (5) sided it is a pentagon.
First find the sum of the interior angle of a Pentagon .
S = ( n -2 ) × 180°
n represent the number of sides
S = ( 5 -2 ) × 180°
S = 3×180°
S = 540°
5x+2+ 10x-3 +7x-11 +8x-19 + 13x -31 = 540°
43x - 62 = 540°
43x = 540° + 62
43x = 602°
x = 14°
Answer : 14°
in this figure, m∠BDA
Answer:
Where is the figure? If it is a triangle I can work with I will openly answer it.
Step-by-step explanation:
A dilation is a transformation in which the _____, but not the shape, of a geometric figure is changed.
-3(x-14) + 9x = 6x + 42
Answer:
All real numbers are solutions.
Step-by-step explanation:
Let's solve your equation step-by-step.
−3(x−14)+9x=6x+42
Step 1: Simplify both sides of the equation.
−3(x−14)+9x=6x+42
(−3)(x)+(−3)(−14)+9x=6x+42(Distribute)
−3x+42+9x=6x+42
(−3x+9x)+(42)=6x+42(Combine Like Terms)
6x+42=6x+42
6x+42=6x+42
Step 2: Subtract 6x from both sides.
6x+42−6x=6x+42−6x
42=42
Step 3: Subtract 42 from both sides.
42−42=42−42
0=0
Answer:
all real numbers
Step-by-step explanation:
-3 (x - 14) + 9x = 6x + 42
-3 (x - 14) + 9x - 6x = 6x - 6x + 42
-3 (x - 14) + 3x = 42
-3 (x) - 3 (-14) + 3x = 42
-3x + 42 + 3x = 42
3x - 3x + 42 = 42
42 = 42
Solve the systems by substitution.
-y=x
-16=9x-7y
Answer: The solution to the system of equations by substitution is (x, y) = (-1, 1).
Step-by-step explanation:
Can anyone help me find the correct angle for ZWP?
Answer:
56 degrees
Step-by-step explanation:
Here, I think you just accidentally put the value for the angle ZWX, which would be ZWP+PWX(56+56).
You actually already wrote it on the paper, so nothing wrong with your math here, just a thinking error :)
Please help me with this.
Here are the correct matches to the expressions to their solutions.
The GCF of 28 and 60 is 4.
(-3/8)+(-5/8) = -4/4 = -1.
-1/6 DIVIDED BY 1/2 = -1/6 X 2 = -1/3.
The solution of 0.5 x = -1 is x = -2.
The solution of 1/2 m = 0 is m = 0.
-4 + 5/3 = -11/3.
-2 1/3 - 4 2/3 = -10/3.
4 is not a solution of -4 < x.
1. The GCF of 28 and 60 is 4.
The greatest common factor (GCF) of two numbers is the largest number that is a factor of both numbers. To find the GCF of 28 and 60, we can factor each number completely:
28 = 2 x 2 x 7
60 = 2 x 2 x 3 x 5
The factors that are common to both numbers are 2 and 2. The GCF of 28 and 60 is 2 x 2 = 4.
2. (-3/8)+(-5/8) = -1.
To add two fractions, we need to have a common denominator. The common denominator of 8/8 and 5/8 is 8. So, (-3/8)+(-5/8) = (-3 + (-5))/8 = -8/8 = -1.
3. -1/6 DIVIDED BY 1/2 = -1/3.
To divide by a fraction, we can multiply by the reciprocal of the fraction. The reciprocal of 1/2 is 2/1. So, -1/6 DIVIDED BY 1/2 = -1/6 x 2/1 = -2/6 = -1/3.
4. The solution of 0.5 x = -1 is x = -2.
To solve an equation, we can isolate the variable on one side of the equation and then solve for the variable. In this case, we can isolate x by dividing both sides of the equation by 0.5. This gives us x = -1 / 0.5 = -2.
5. The solution of 1 m = 0 is m = 0.
To solve an equation, we can isolate the variable on one side of the equation and then solve for the variable. In this case, we can isolate m by dividing both sides of the equation by 1. This gives us m = 0 / 1 = 0.
6. -4 + 5/3 = -11/3.
To add a fraction and a whole number, we can convert the whole number to a fraction with the same denominator as the fraction. In this case, we can convert -4 to -4/3. So, -4 + 5/3 = -4/3 + 5/3 = -11/3.
7. -2 1/3 - 4 2/3 = -10/3.
To subtract two fractions, we need to have a common denominator. The common denominator of 1/3 and 2/3 is 3. So, -2 1/3 - 4 2/3 = (-2 + (-4))/3 = -6/3 = -10/3.
8. 4 is not a solution of -4 < x.
The inequality -4 < x means that x must be greater than -4. The number 4 is not greater than -4, so it is not a solution of the inequality.
For more such questions on GCF
https://brainly.com/question/902408
#SPJ8
please help 30pt
Find the common difference of the sequence shown.
Answer:
1/6
Step-by-step explanation:
The common difference of the given sequence is 1/6.
If a sequence has a constant common difference throughout the sequence, then the sequence is called Arithmetic Progression.
Where 'd' is the common difference of the A.P.
Similarly, finding the common difference of the given sequence
Hope this helps, if so please mark brainliest.
the square root of 50
Answer:
The square root of 50 is approximately 7.07.
Answer:
7.07106781187...
Step-by-step explanation:
its an irrational number
There are 3,525 freshmen at a university. All freshman must attend one orientation session, and there are 15 different sessions to choose from. If the same number of students are assigned to each orientation session, how many freshmen will each group include?
Answer:the answer is b
Step-by-step explanation:
Answer:
235 students will be at each session
Step-by-step explanation:
3,525 / 15 = 235
solve for f
f/40 = 10/f
Answer:
Step-by-step explanation:
To solve for f, we can cross-multiply the equation:
f/40 = 10/f
Multiplying both sides by 40f gives:
f^2 = 400
Taking the square root of both sides yields:
f = ±20
Therefore, the solutions for f are f = 20 and f = -20. However, since f represents a physical quantity (presumably a frequency), we take only the positive value:
f = 20
help asap!! answer
Hunter measured the middle school and made a scale drawing. The scale he used was 1 inch : 10 feet. The gym is 7 inches wide in the drawing. How wide is the actual gym?
Answer:
70 ft
Step-by-step explanation:
You want the actual width of a gym that is represented as 7 inches on a drawing with a scale of 1 in : 10 ft.
Scale factorEach inch represents 10 feet, so 7 inches will represent ...
7 × 10 ft = 70 ft
The gym is 70 ft wide.
__
Additional comment
You can also write and solve an equation that shows the measures are proportional:
actual width / drawing width = (10 ft) / (1 in) = (gym width) / (7 in)
Multiplying both sides of this proportion by 7 in, we have ...
gym width = (7 in) × (10 ft)/(1 in) = 7 × 10 ft = 70 ft
what is the approximate volume of the cylinder use 3.14 for π
Answer:
904.32 cm²
Step-by-step explanation:
V = πr²h
V = 3.14 × (6 cm)² × 8 cm
V = 904.32 cm²
Find the surface area
Answer: 120 yds
Step-by-step explanation:
48+30+24+18+120 yds
A positive real number is 1 less than another. When 2 times the larger is added to the square of the smaller, the result is 8. Find the numbers.
Answer:
Let your two numbers be n and n-1. Then: 2n+n²-2n+1=51 n²=50 n=5√2 n-1=5√2-1
Hope that helps <3
Which expression is equivalent to ^3√×^5y?
Answer:
Combine any like terms on each side of the equation: x-terms with x-terms and constants with constants. Arrange the terms in the same order, usually x-term before constants. If all of the terms in the two expressions are identical, then the two expressions are equivalent.
Answer:
Step-by-step explanation:
x=
3
------------
5y+2
SOLVE FOR Y
y=
5
--------------
3x−2
A textile factory in the U.S. pays 475 workers a total of $12.75 million each year to produce 8.2 million pants. A Chinese factory employs 350 workers at a cost of $2.3 million to produce 4.3 million pants. How much does it cost the Chinese company to make a pair of pants?
Given:
The cost for producing 4.3 millions pants by a chinese company is $2.3 million.
Explanation:
4.3 millions pants are produced at the cost of $2.3 million. So cost of one pair of pants is obtained by divide $2.3 million by 4.3 million.
Determine the cost of one pair of pants.
\(\begin{gathered} \frac{2.3}{4.3}\text{ dollar=}0.534\text{ dollar} \\ \approx0.5\text{ dollar} \end{gathered}\)So cost of a pair of pants for a chinese company is $0.5.
Answer: $0.5
For each of the 6 coverage areas of a standard homeowners insurance policy, briefly describe what they cover: Dwelling, Other Structures. Personal Property,
Loss of Use, Personal Liability, Medical Payments
Read more about homeowners insurance
brainly.com/question/30179892
#SPJ1
Some factors need to be controlled to keep this test fair. name two of them….
Two factors that need to be controlled to keep this test fair are the temperature and the sample volume.
What are the control variables?The control variables are those variables that should be kept constant in order to avoid interfering with the free flow of the experiment.
For the provided test, it is important that the temperature of the environment where the test sample is kept is controlled throughout the duration of the experiment so that some results are not affected by this. Also, the sample volume should be controlled for fair outcomes.
Learn more about control variables here:
https://brainly.com/question/28077766
#SPJ1
Please help asap! Will give brainliest! Please read the question then answer correctly! No guessing.
Answer: D
Substitute 0 for x and to find the y-intercept.
y-intercept(s): (0,5)
Angles A and B are supplementary. Determine the measure of angle A if the measure of angle B is 126.4°.
The measure of angle A is 53.6° if angle A and angle B are supplementary angles.
According to the question,
We have the following information:
Angles A and B are supplementary.
Measure of angle B = 126.4°
We know that when two angles are supplementary then it means that the sum of these angles will be 180°.
So, we have the following expression:
Angle A + angle B = 180
Angle A+126.4 = 180
Subtracting 126.4 from both the sides of the equation:
Angle A = 180-126.4
Angle A = 53.6°
Hence, the measure of angle A is 53.6° if angle A and angle B are supplementary.
To know more about supplementary angles here
https://brainly.com/question/18164299
#SPJ1
Please help me with this please
The measure of the angles are 60 degrees each
How to determine the measure of the anglesFrom the question, we have the following parameters that can be used in our computation:
AOB = 138 degrees
Also, we have:
The line OX bisects the angle AOB
Using the above as a guide, we have the following:
AOX = AOB/2 = 138/2 = 69
Also, we have
XOB = AOB/2 = 138/2 = 69
Hence, the angles are 69 degrees each
Read more about angles at
https://brainly.com/question/25716982
#SPJ1
Suppose you buy two sweaters. Each sweater cost the same amount. The amount of money you spend varies directly with the number of sweaters you buy. If you spent $37.50 for two sweaters, what is the constant of variation? A. 2.00 B. 37.50 C. 0.053 D. 18.75
Answer:
D
Step-by-step explanation:
37.50 ÷ 2 = 18.75. jdjdjfbffcv
Val's whole-house central air conditioner uses 3,000 watts when running. Val runs the AC 4 hours per summer day. Electricity costs (15 cents)/(1 kilowatt-hour). How much does Val's AC cost to run for a summer month of 30 days?
Answer:
Step-by-step explanation:
3000 W = 3 kW
3 kW(4hr/day)(30 day/month) = 360 kWh/month
360 kWh/month($0.15 / kWh) = $54
So about $75 when you add all the taxes and other fees that get added to a typical electric bill.
Look at the photo thank you
Answer:
k = 24
y = 72
Step-by-step explanation:
Direct variation Formula:
y=kx
72=3k
k = 24
y = kx
y = 24(3)
y = 72
What is the surface area of a rectangular prism that has a length of 4 cm, a height of 14 cm, and a width of 15 cm?
Answer:
the surface area of the rectangular prism is 572cm².
Step-by-step explanation:
The surface area of a rectangular prism can be calculated using the formula 2lw + 2lh + 2wh, where l is the length, w is the width, and h is the height. Plugging in the values you provided, we get:
2 * 4cm * 15cm + 2 * 4cm * 14cm + 2 * 15cm * 14cm = 572 cm²
So the surface area of the rectangular prism is 572 square centimeters.
If m/DAB = 32°, what is m/BDC?
Answer: 58
Step-by-step explanation:
To find the measure of angle BDC, we can use the fact that the sum of the angles in a triangle is 180°
We can start by finding the measure of angle ABD, which is complementary to angle DAB, using the fact that the sum of complementary angles is 90°.
m/DAB = 32°, so m/ABD = 90° - 32° = 58°.
Since angles ABD and BDC are opposite angles formed by intersecting lines, they are congruent.
Therefore, the measure of angle BDC is 58°.
Answer: m/BDC = 58°.
6
6. Which statement below is represented by the correct ratio? Choose all that apply.
A "For every 7 cars I see in the parking lot, there are 4 buses.* The ratio of cars to buses is written as
B. For every 2 cups of four, I add 4 cups of sugar. The ratio of four to sugar is written as 12.
c. There are 4 monkeys at the sea for every 1 tiger." The ratio of monkeys her tigers is written as 4:1
D. have 4 red beads for every 6 green beats on my bracelet. The ratio of red beads to green beads