Answer:
5
Step-by-step explanation:
You have to move all variables to the left side of the equation. It should be
5c-7c=-2-8. Notice how when 7c and 8 get moved over to their designated places, they become a negative. 5c-7c equals to -2c. -2-8 equals to -10. The equation we have now is -2c=-10. 10 divided by 2 is 5 and there ar two negatives which equal a postiive so the answer is 5.
Answer:
[tex]\boxed {c = 5}[/tex]
Step-by-step explanation:
Solve for the value of [tex]c[/tex]:
[tex]8 + 5c = 7c - 2[/tex]
-Take [tex]7c[/tex] and subtract it from [tex]5c[/tex]:
[tex]8 + 5c - 7c = 7c - 7c - 2[/tex]
[tex]8 - 2c = -2[/tex]
-Subtract [tex]8[/tex] to both sides:
[tex]8 - 8 - 2c = -2 - 8[/tex]
[tex]-2c = -10[/tex]
-Divide both sides by [tex]-2[/tex]:
[tex]\frac{-2c}{-2} = \frac{-10}{-2}[/tex]
[tex]\boxed {c = 5}[/tex]
Therefore, the value of [tex]c[/tex] is [tex]5[/tex].
1. The value of y varies directly with x. If
x = 13, then y = 65. What is the value of x
when y = 35?
Answer: x=7
Step-by-step explanation:
To find the value of x, we can set a proportion since the problem states that "y varies directly with x".
[tex]\frac{13}{65} =\frac{x}{35}[/tex]
Here, we see that the x is the numerator and y is the denominator.
[tex]\frac{13}{65} =\frac{x}{35}[/tex] [cross multiply]
[tex]455=65x[/tex] [divide both sides by 65]
[tex]x=7[/tex]
Now, we know that x=7. Logically, we know this is also correct because y=35 is less than y=65. This tells us that x has to be smaller than x=13.
Of the 12.4 million species of organisms in the world today, 64% (almost two thirds) are insects.
Estimate to the nearest million the number of insect species.
Answer:
Approximately, there are 8 million insect species.
Step-by-step explanation:
Convert 64% into decimal
64%/100% = 0.64
To get the number of insect species, we just have to multiply the total species of organism by 0.64
Let n be the number of insect species
n = 12,400,000(0.64)
n = 7,936,000
n ≈ 8 million
find f(2) - g(-2) if f(x) = 6^x - 4x and g(x) = 1/2x + 10
Answer:
3
Step-by-step explanation:
Step 1: Define
f(x) = 6ˣ - 4x
g(x) = 1/2x + 10
f(2) is x = 2
g(-2) is x = -2
Step 2: Find f(2) and g(-2)
f(2) = 6² - 4(6)
f(2) = 36 - 24
f(2) = 12
g(-2) = 1/2(-2) + 10
g(-2) = -1 + 10
g(-2) = 9
Step 3: Find f(2) - g(-2)
12 - 9 = 3
Help!!!
The amount of force, F, needed to lift an object using a lever varies inversely as the length, l, of the lever. When a 24-inch lever is used, a force of 240 pounds is needed. How much force is needed if a 36-inch long lever is used?
I already know A. 120 pounds is wrong
A. 120 pounds XXX
B. 160 pounds
C. 252 pounds
D. 360 pounds
Answer:
F = 160 pounds
B. 160 pounds
Step-by-step explanation:
F = k / l
Where,
F = amount of force needed
l = length of the lever
k = constant of proportionality
F = 240 when l = 24 inch
F = k / l
240 = k / 24
Cross product
240*24 = k
k = 5,760
Find F when l = 36 inch
Recall, k = 5,760
F = k / l
= 5,760 / 36
= 160
F = 160 pounds
The correct answer is B. 160 pounds
The variation is an inverse variation.; so, 160 pounds of force is needed for a 36-inch long lever
Given that F varies inversely as L, the variation is represented as:
[tex]F\ \alpha\ \frac 1L[/tex]
Express as an equation
[tex]F\ =\ \frac kL[/tex] -- where k represents the constant of variation
Make k the subject
[tex]k =FL[/tex]
When F = 240, L = 24.
So, we have:
[tex]k =240 \times 24[/tex]
[tex]k =5760[/tex]
Substitute 5760 for k in [tex]k =FL[/tex]
[tex]5760 = FL[/tex]
When L = 36, we have:
[tex]5760 = 36F[/tex]
Divide both sides by 36
[tex]160 = F[/tex]
Rewrite as:
[tex]F = 160[/tex]
Hence, 160 pounds of force is needed for a 36-inch long lever
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The price of the jeans was reduced $6 per week for 6 weeks. By how
much did the price of the jeans change over 6 weeks?
Help me with thank u sm ❤️❤️
1. Find the distance between (-1, 1) and (3, 4)
Answer:
[tex]d=5[/tex]
Step-by-step explanation:
Distance Formula: [tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Simply plug in the 2 coordinates into the distance formula to find distance d:
[tex]d=\sqrt{(3-(-1))^2+(4-1)^2}[/tex]
[tex]d=\sqrt{(3+1)^2+(3)^2}[/tex]
[tex]d=\sqrt{(4)^2+9}[/tex]
[tex]d=\sqrt{16+9}[/tex]
[tex]d=\sqrt{25}[/tex]
[tex]d=5[/tex]
Which system of equations below can be used to solve the following problem?
The of a rectangular room is 80 square feet. If the length of one side of the room is 8 feet what is the perimeter of the room?
Answer:
C.
Step-by-step explanation:
1. Find the area part of the equation.
Area is base×height, so if we substitute 8 as the base and w as the height, A=8w
2. Find the perimeter of the equation.
Perimeter of a rectangle is 2(base + height), so in this case, it will be
P=2(8 + w), or C.
Share GH$25,000.00 between Amina and Mina in the ratio of 2.3
Answer:
2x + 3x = $25,000
5x = $25,000
x = $5,000
Amina will receive $10,000, and Mina will receive $15,000.
2:3
First, add 2 and 3 =5
The total money is 5
Then for Amina whose share is 2;
2/5 × 25,000 = GH$10,000.00
For Mina whose share is 3;
3/5 ×25,000 = GH$15,000.00
Therefore
Amina = GH$10,000.00
Mina=GH$15,000.00
WHAT IS IT[tex]4x+2=2x+12[/tex]
Answer:
x=5
Step-by-step explanation:
4x+2=2x+12
4x-2x=12-2
2x=10
x=10/2
x=5
The cost (c) to paint a building varies directly with the area of the surface being painted (A) in square feet. It costs $3,000 to paint a room with a surface area of 1,500 square feet. Determine an equation that gives the relationship between c and A. Question 18 options: A) c = 2∕A B) c = 2A C) c = 20∕A D) c = 20A
Answer:
Step-by-step explanation:
c=2A
An equation is formed when two equal expressions. The correct option is B.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given that the cost to paint an area of 1,500 square feet is $3,000. Therefore, the equation that gives the relationship between c, cost and A, the area is,
cost = constant × area
c = k × A
$3000 = k × 1500 ft²
k = $2 per square feet
Now, the equation that gives the relationship between c and A can be written by substituting the value of k in the equation,
c = k × A
c = 2 × A
c=2A
Hence, the correct option is B.
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6 students can plant a garden in 5 hours. How many additional students should they get to help if they need to finish the job in 3 hours instead of 5 hours?
The correct answer is 4
Explanation:
One of the ways to solve this mathematical problem is by using the rule of three because there are three pieces of information and one missing information. Below, I show the process step by step:
1. Consider the information provided and the missing information
6 students = 5 hours
x = 3 hours
2. Cross multiply to create a simple equation
5x = 18
3. Solve
x = 18 ÷ 5
x = 3.6
This means 3.6 students are required to plant the garden in 3 hours, and this can be rounded as 4 considering people or students cannot be counted using decimal numbers.
The Coca-Cola Company introduced New Coke in 1985. Within three months of this introduction, negative consumer reaction forced Coca-Cola to reintroduce the original formula of Coke as Coca-Cola Classic. Suppose that two years later, in 1987, a marketing research firm in Chicago compared the sales of Coca-Cola Classic, New Coke, and Pepsi in public building vending machines. To do this, the marketing research firm randomly selected 10 public buildings in Chicago having both a Coke machine (selling Coke Classic and New Coke) and a Pepsi machine. The researchers recorded the number of cans sold over a given period of time. What is the null hypothesis for this study?
Step-by-step explanation:
The question requires us to state the null hypothesis only.
A null hypothesis can be used in statistics or experimental research to show that there is no difference in existence between the populations that were specified for the study. An alternative hypothesis is the opposite as it proposes the existence of a difference.
Here is the null hypothesis:-
H0: there are no differences existing between the mean sales of coca-cola classic, coke and pepsi in public vending machine.
The sales tax for an item was $7.20 and it cost $360 before tax.
Find the sales tax rate. Write your answer as a percentage.
Answer:
2% sales tax rate
Step-by-step explanation:
suppose that a number written as a decimal has an infinite number of non- repeating digits after the decimal point. What is this number called
Answer: Irrational number
If the decimal digits repeat forever, then the repeating decimal is considered rational.
For instance, 2/99 = 0.020202020202... where the "02" repeats forever
If we don't have such a pattern, then we cannot write the decimal as a fraction of two integers and the number is not rational. So it is irrational.
b. The height of the pyramid is 10 cm.
(Lesson 18.2)
PLEASE ME! ASSAP!
Given that set C is the negative integers greater than −15, which elements of set C are less than or equal to −11?
The elements of set C that are less than or equal to -11 are -11, -12, -13, -14, and -15.
Set C consists of negative integers greater than -15. In order to determine which elements of set C are less than or equal to -11, we need to identify the negative integers that fall within that range.
Starting with the number -11, we can check if it is included in set C. Since the set C includes negative integers greater than -15, and -11 is greater than -15, we can conclude that -11 is an element of set C.
Therefore, the elements of set C that are less than or equal to -11 are -11, -12, -13, -14, and -15.
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What is the measure of the diameter?
What is the measure of the circumference?
Answer:
circle
radius
Step-by-step explanation:
1 ) The diameter measures the circle at its largest point across. Another definition that is related to the diameter is the radius. It is the measurement from the center of the circle to its edge.
2) When a circle's diameter is 1, its circumference is π. When a circle's radius is 1—called a unit circle—its circumference is 2π. -
Answer:
Radius of circle = 3cmwe need to find the circumference and diameter of circle.
Dimeter of circle = 2× Radius
Diameter of circle = 2 × 6
Diameter of circle = 6cm
Circumference of circle = 2πr
Circumference of circle = 2 × π × 6
Circumference of circle = 12π
A newspaper has more than 30 pages and fewer than 40 pages. The newspaper is divided into sections, and each section has exactly 8 pages. How many sections does the newspaper have?
Answer:
4
Step-by-step explanation:
there is 4 sections i know because s8 times 4 is 32 but if it has less than 40 it can't be 5 because 5 times 8 is 40 then it has to be 4
A= { 1, 4, 9, 16, 25, 36, 49, 64, 81, 100} solve in
rule method
Answer:
1, 4, 9, 16, 25, 36, 49, 64, 81, 100
Step-by-step explanation:
Just do this by the square root method
A food delivery service has delivery times with known m=45 minutes and s=12 minutes. A sample of 36 delivery times is taken. What is the probability the sample mean will be > 48 minutes? What is the probability the sample mean is between 44 and 49 minutes? If 100 samples were collected, and the sample mean was 65 minutes, what would you conclude?
1.) The probability that the sample mean will be greater than 48 minutes is 0.9332.
2.) The probability of the sample mean being between 44 and 49 minutes is 0.6687.
3.) The z-score of 10 indicates that the sample mean of 65 minutes is 10 standard deviations above the population mean.
To solve this problem, we can use the Central Limit Theorem (CLT), which states that the distribution of sample means tends to be approximately normally distributed, regardless of the shape of the original population, when the sample size is large enough.
1.) Probability of sample mean > 48 minutes:
To calculate this probability, we need to standardize the sample mean using the formula: z = (x - μ) / (σ / √n), where x is the sample mean, μ is the population mean, σ is the population standard deviation, and n is the sample size.
In this case, the population mean (μ) is 45 minutes, the population standard deviation (σ) is 12 minutes, and the sample size (n) is 36. We want to find the probability of the sample mean being greater than 48 minutes.
Calculating the z-score:
z = (48 - 45) / (12 / √36) = 3 / 2 = 1.5
Using a standard normal distribution table or calculator, we find that the probability corresponding to a z-score of 1.5 is approximately 0.9332. Therefore, the probability that the sample mean will be greater than 48 minutes is approximately 0.9332.
2.) Probability of sample mean between 44 and 49 minutes:
To calculate this probability, we need to find the z-scores for both 44 and 49 minutes and then calculate the area between those z-scores.
Calculating the z-scores:
For 44 minutes:
z1 = (44 - 45) / (12 / √36) = -1 / 2 = -0.5
For 49 minutes:
z2 = (49 - 45) / (12 / √36) = 4 / 2 = 2
Using the standard normal distribution table or calculator, we find the probabilities corresponding to z1 and z2:
P(z < -0.5) ≈ 0.3085
P(z < 2) ≈ 0.9772
The probability of the sample mean being between 44 and 49 minutes is approximately P(-0.5 < z < 2) = P(z < 2) - P(z < -0.5) ≈ 0.9772 - 0.3085 = 0.6687.
3.)Conclusion from 100 samples with a mean of 65 minutes:
If 100 samples were collected, and the sample mean was 65 minutes, we would need to assess whether this value is significantly different from the population mean of 45 minutes.
To make this assessment, we can calculate the z-score for the sample mean of 65 minutes:
z = (65 - 45) / (12 / √36) = 20 / 2 = 10
The z-score of 10 indicates that the sample mean of 65 minutes is 10 standard deviations above the population mean. This is an extremely large deviation, suggesting that the sample mean of 65 minutes is highly unlikely to occur by chance.
Given this, we can conclude that the sample mean of 65 minutes is significantly different from the population mean. It may indicate that there is a systematic difference in the delivery times between the sample and the population, possibly due to factors such as increased demand, traffic, or other external variables
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Add 3 level scoops of mini chocolate chips and 1 level scoop of raisins to Container 1. If each scoop has the same number of items, what percent of the items in Container 1 are mini chocolate chips?
Answer:
75%
Step-by-step explanation:
Answer:
75%
Step-by-step explanation:
There are four scoops, and three of them are mini chocolate chips. 3/4=75/100. Therefore, 75%
This year Colton earned 70,000 frequent flyer miles from his travels this year’s amount is 10 times as many miles as he earned last year.
How many miles did Colton earn last year
Answer:
Step-by-step explanation:
7000
A large watermelon weighs 269.8 pounds. Which measure is closest to this weight in kilograms: A. 592 OB 169 0 C 338 D. 122 o Tyne here to search
Jonathan makes of the free throws he attempts expresses percentage as a decimal.
WILL MARK AS BRAINLIEST!!!!
Answer: 0.705
Step-by-step explanation:
Answer:
0.705
Step-by-step explanation:
M is between C and G. If CM = x , MG = x +12, and CG= 4x +6.
с
M
Answer:
CM = 3
MG = 15
CG = 18
Step-by-step explanation:
CM = x
MG = x + 12
C to G equals 4x + 6
CG = 4x + 6
And CM + MG (CG) also equals 2x + 12
CM + MG = 2x + 12
4x + 6 = 2x + 12 (solve for x)
Subtract 2x from both sides.
2x + 6 = 12
Subtract 6 from both sides.
2x = 6
Divide by 2
x = 3
CM = (3)
MG = 3 + 12 = 15
CG = 4(3) + 6 = 18
Construct a stem-and-leaf plot from the following data set: 29, 65, 35, 56, 46, 50, 27, 51, 23, 35, 28, 22, 64, 30, 50, 41. What is the stem from the 4th row and all of its leaves?
Answer: The stem would be 4 and the leaves would be 1 and 6
Step-by-step explanation:
The stem would be the first number so for example in 29 the stem would be 2 and the leaves would be 9. Once you do that to each number and put them in lowest to highest order you now have your stem and leaf plot
What the meaning of "a sequence of length n"?
In mathematics, a sequence is an ordered list of elements, often denoted by brackets or parentheses.
What the meaning of "a sequence of length n"?The term "a sequence of length n" refers to a sequence that contains a specific number of elements, where the number of elements is denoted by "n."
When the domain of a function is the set of natural numbers (N), it is called an infinite sequence. An infinite sequence can be thought of as an ordered list that continues indefinitely.
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11. Find the value of the variable. If your answer is not an integer, leave it in simplest radical form.
The value of the variable x for this problem is given as follows:
[tex]x = \frac{5\sqrt{2}}{2}[/tex]
What are the trigonometric ratios?The three trigonometric ratios are the sine, the cosine and the tangent of an angle, and they are obtained according to the formulas presented as follows:
Sine = length of opposite side to the angle/length of hypotenuse of the triangle.Cosine = length of adjacent side to the angle/length of hypotenuse of the triangle.Tangent = length of opposite side to the angle/length of adjacent side to the angle = sine/cosine.For the angle of 45º, we have that:
x is the opposite side.5 is the hypotenuse.Applying the sine ratio, the value of x is given as follows:
sin(45º) = x/5
x = 5sin(45º)
[tex]x = \frac{5\sqrt{2}}{2}[/tex]
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Mikaela’s friends brought a big box of crackers to the movie theater. 53 crackers are
whole wheat and 29 crackers are cheese flavored. The remaining 1/3 of the box
contains sesame seed crackers. How many crackers are in the box altogether?
Answer:
123 crackers
Step-by-step explanation:
If 1/3 of the box contains sesame seed crackers, then, 2/3 of the box contains whole wheat and cheese flavored crackers.
Total number of whole wheat and cheese flavored crackers = 53 + 29 = 82
Let x be the total number of crackers in the box, so we will have the equation
2/3 x= 82
x = 82 ÷ 2/3; we will get
X =82 x 3/2
X = 123 crackers
