Answer:x=251
Step-by-step explanation:
Step 1: Subtract 8 from both sides of the equation.
Explanation: Subtracting 8 from both sides of the equation keeps the equality balanced.
Step 2: x = 251
Explanation: Subtracting 8 from both sides of the equation gives us
x = 259 - 8 = 251.
Answer:
Step-by-step explanation:
x = -251
3(x+2) x 10 x 7/70-2(x+2)
The solution of the given expression results as 105(x+2)/33-x
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
We are Given the expression;
[3(x+2)*10*7]÷70 - 2(x+2)
Solving further
= 3(x+2)*70÷70 - 2(x+2)
= 210(x+2)/70-2x-4
= 210(x+2)/66-2x
= 210(x+2)/2(33-x)
= 105(x+2)/33-x
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Forest rangers at a state park have observed a decline in the rate of trees per
acre over a 5-year period. At the beginning of their observations, there was an average of 48 trees per acre. At the end of the 5-year period, there was an
average of 42 trees per acre. If this trend continues, how many trees per acre
will there be 412 years from the end of the 5-year observation period?
After 412 years there will be no trees at the state park.
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + c = 0, and the equation of a line in slope-intercept form is
y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.
From the given information,
Slope(m) = (42 - 48)/(5 - 0).
Slope(m) = - 6/5.
b = 48, As y-intercept(0, 48).
Therefore, y = - (6/5)x + 48.
Now, y = - (6/5)×412 + 48.
y = - 446.4 trees per acre, But there will be no trees as it came out to be a negative value.
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Please help I’ll give brainliest!! What ordered pairs are the solutions of the system of equations shown in the graph
below?
Answer:
(-1,3) and (3,-5)
Step-by-step explanation:
I'm assuming since it is giving no information that it wants where the two graph intersect each other.
So, by the looks of it they intersect at
(-1,3) and (3,-5)
What is the definition of equivalent ratios?
How much water was already in the pool when the hose was turned on today?
gallons
Complete the equation to represent the relationship between the volume of water in the pool in gallons, V, and the elapsed time in hours, t, since the hose was turned on today.
QUIC HELP
1) Note that the volume of water that was already in the pool when the hose was turned on today is 2000 gallons of water.
2) The equation that represents the relationship between the volume of water in the pool in gallons "V) and the elapsed time in hours, t, since the hose was turned on today is V = 800t + 2000.
Note that to get the right expression above we have to solve for the slope of the graph.
What is the rationale for the above response?1) To arrive at the answer in 1 above, we only have to examine the y-intercept. since at time (t) =0 the volume of water (gallons) indicated on the graph is 2000 gallons, thus, it is correct to state that:
"the volume of water that was already in the pool when the hose was turned on today is 2000 gallons of water."
2) From the graph, we can see the equation must be linear.
That is:
y = mx + b
Where y = V = Volume of Water in the Pool in Gallons
m = Slope
x = t = elapsed time in hours
b = y- intercept = already given as 2000
Thus:
To get m (slope) we need to use the above equation:
m = rise/run = y2-y1/x2-x1
Take
y1 = 6000
y2 = 10,000
x1 = 5
x2 = 10
Substituting the given values, we get:
m = (10,000 - 6,000) / (10 - 5)
m = 4,000 / 5
m = 800
Therefore, the slope of the line passing through the points (5, 6000) and (10, 10,000) is 800.
Having derived m, the full expression is thus given as:
V = 800t + 2000.
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Full Question:
See attached for full question
which equations for the measures of the unknown angles x and y are correct? check all that apply.(a) x=cos−1(a/c)x=cos−1(a/c)(b) x=sin−1(c/b)x=sin−1(c/b)(c) x=tan−1(c/a)x=tan−1(c/a)(d) y=sin−1(a/c)y=sin−1(a/c)(e)y=cos−1(c/b)y=cos−1(c/b)
The equations for the measures of the unknown angles x and y that are correct are (b), (c) and (e).
The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).
Sin θ = Opposite Side to θ/Hypotenuse
Cos θ = Adjacent Side to θ/Hypotenuse
Tan θ = Opposite Side/Adjacent Side
Cot θ = Adjacent Side/Opposite Side
Sec θ = Hypotenuse/Adjacent Side
Cosec θ = Hypotenuse/Opposite Side
where, Hypotenuse (the longest side), Perpendicular (opposite side to the angle), Base (Adjacent side to the angle)
The inverse ratios start with the ratio and then find the angle that produces this ratio.
(a) x=cos−1(a/c)
(b) x=sin−1(c/b)
(c) x=tan−1(c/a)
(d) y=sin−1(a/c)
(e)y=cos−1(c/b)
The equations for the measures of the unknown angles x and y that are correct are (b), (c) and (e).
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1. an aerospace company has submitted bids on two separate federal government defense contracts. the company president believes that there is a 61% probability of winning the first contract. if they win the first contract, the probability of winning the second is 74%. however, if they lose the first contract, the president thinks that the probability of winning the second contract decreases to 20%. what is the probability that they lose both contracts?
The required probability of loosing both the contracts with 61% chances of winning first contract and 74% chances of second contract is equal to 0.1014.
Probability of winning the first contract 'P(A)' = 61%
= 0.61
Probability of winning the second contract 'P(B)' = 74%
= 0.74
Probability of loosing both the contracts is
= [ 1 - P(A) ] × [ 1 - P(B) ]
= [ 1 - 0.61 ] × [ 1 - 0.74 ]
= 0.39 × 0.26
= 0.1014
Therefore, the probability of loosing both the contracts as per given contracts winning possibility is equal to 0.1014.
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“Log 2x = -1 Solve each equation. Check Answers”
Please help me logs are confusing
The length of a cell phone is 1.41.4 inches and the width is 3.83.8 inches. The company making the cell phone wants to make a new version whose length will be 0.910.91 inches. Assuming the side lengths in the new phone are proportional to the old phone, what will be the width of the new phone?
What is the complete square corresponding to x2 – 6x? A. (x – 1.5)2 B. (x – 3)2 C. (x – 4.5)2 D. (x – 9)
Answer:
So the answer is C. (x - 3)^2.
Step-by-step explanation:
The complete square corresponding to x^2 - 6x is (x - 3)^2.
A complete square is a trinomial that can be written in the form (x - a)^2, where a is a constant. To find the complete square of x^2 - 6x, we need to rewrite x^2 - 6x into the form (x - a)^2. We do this by adding and subtracting a constant term to make the trinomial a perfect square.
x^2 - 6x + 9 = (x - 3)^2
So the answer is C. (x - 3)^2.
18.85% of the pupils in Form 2 study craft, 72% study music and 60% study both subjects. What percentage study neither craft nor music?
Answer:
Step-by-step explanation:
Sorry cant help 18.85%
do 3 over 4 and 9 over 12 form a proportion
Answer:
0 over 12
Step-by-step explanation:
3/4 is equal to 9/12
so your basically taking 9/12 from 9/12
rulers are sold in boxes of 12
protractors are sold in boxes of 8
A teacher would want to buy the same number of rulers and protractors
work out the smallest number of boxes of each iteam he shoould by
ruler boxes?
protractor boxes?
Answer:
Step-by-step explanation:
Find the GCF:
12, 24, 36
8, 16, 24, 32
GCF is 24
The lowest amount of boxes the teacher could buy would be 2 boxes of Rulers and 3 boxes of Protractors. I hope this helped
Determine the intercepts of the line. Do not round your answers. y+1=3(x − 4) x-intercept: (_,_) y-intercept: (_,_)
The intercepts of the line are x intercept: (4.3,0) y-intercept: (0,-13)
How to determine the intercepts of the lineFrom the question, we have the following parameters that can be used in our computation:
y+1=3(x − 4)
To calculate the x-intercept, we set y to 0
So, we have the following representation
0+1=3(x − 4)
This gives
x - 4 = 1/3
So, we have
x = 4.33
To calculate the y-intercept, we set x to 0
So, we have the following representation
y + 1 = 3(0 − 4)
This gives
y + 1 = -12
So, we have
y = -13
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QUESTION FOR FOR LIH04
Mimi Divided a block of chese weighing 10kg into pieces weighing 5/8 kg how many pieces did she get? (Show Working)
Which ordered pair is a solution of the inequality y≤1/3x−6
The ordered pair of the inequality will be (9,-3).
What is inequality?The inequality expressions are the mathematical equations related by each other by using the signs of greater than or less than. All the variables and numbers can be used to make the equation of inequality.
Given that inequality is given as y ≤ 1/3x−6.
The ordered pair can be calculated as:-
y ≤ 1/3x−6
Substitute the value of x equal to 9 and get the value of y,
y ≤ 1/3(9) - 6
y ≤ 3 - 6
y ≤ -3
Hence, the ordered pair will be (9,-3).
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A metal washer has an external diameter of 2 cm and an internal diameter of 1 cm.
How many washers can be cut from a sheet of steel 3 m by 1 m?
If the metal left over was remelted and cast into a sheet of the same thickness and
width 1 m, how many additional washers could be cut?
(a) The number of washers that can be cut from a sheet of steel is 12,732 washers.
(b) No additional washers could be cut from the metal left over after it was remelted and cast into a sheet of the same thickness and width (1 m).
How many washers can be cut from the sheet?
First, we need to calculate the area of the washer, which can be done as follows:
Area = π (de/2)² - π (di/2)²
= π(0.02 m/2)² - π (0.01 m/2)²
= 0.000236 m²
Now, we can calculate the number of washers that can be cut from a 3m x 1m sheet of steel:
Number of washers = (Area of the sheet) / (Area of the washer)
= (3 m x 1 m) / 0.000236 m²
= 12,732 washers
Next, we need to find the area of the metal left over after cutting the 12,732 washers. This can be calculated as follows:
Area of the metal left over = (3 m²) - (12,732 x 0.000236 m²)
= 3 - 3.05
= -0.05 m²
Since the metal left over is negative, it means that not enough metal was available to cut 12,732washers. Hence, 12,732 is the maximum number of washers that can be cut from a 3m x 1m sheet of steel.
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Please help with number 2!!! 100 points
Answer:
C
Step-by-step explanation:
Two less than 7 times a number equals 33 = 7x - 2 = 33. Sorry I cant really explain :/
Hope my answer helps!
Transcribed image text: Question 4 A certain automotive dealer sells only cars and trucks, and the ratio of cars to trucks on the lotis 11 to 33. If there are currently 51 trucks for sale, how many cars does the dealer have for sale! 34 68 136 272 thierronse
If the ratio of cars to trucks on the lot is 11 to 33 and there are currently 51 trucks for sale, then there are 17 cars for sale
The ratio of cars to truck on the lot = 11 : 33
Total number of trucks for sale = 51 truck
Consider the number of cars for sale = x
Then the ratios will be
11/33 = x / 51
Cross multiply the terms in the equation
33x = 51 × 11
33x = 561
Move 33 to the right hand side of the equation
x = 561 / 33
Divide the terms
x = 17
Therefore, the number of cars does the dealer have for sale is 17
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Determine the value of the missing angle using the inverse trig function.
Answer:
x = 59.036°
Step-by-step explanation:
tan (BÂC) = BC/AB
tan= opposite/ adjacent
Then subs AB = 3 BC= 5 BÂC= x into tan (BÂC) = BC/AB
tan(x)=5/3
x= tan^-1 (5/3)
x= 59.036°
What is another way to make 2.98?
Choose 1 answer:
B
1 one +8 tenths +18 hundredths
1 one 19 tenths 8 hundredths
1 one +10 tenths 8 hundredths
Answer:
Below
Step-by-step explanation:
1 + 19/10 + 8/100 = 1 + 1.9 + .08 = 2.98
An altitude is drawn from the vertex of an isosceles triangle, forming a right angle
and two congruent triangles. As a result, the altitude cuts the base into two equal
segments. The length of the altitude is 11 inches, and the length of the base is 6
inches. Find the triangle's perimeter. Round to the nearest tenth of an inch.
The sum of two numbers is 22. Two less than three times the smaller number is equal to the larger number x. Find the larger number.
y=6, x=16
you create a system with the two variables and manipulate an equation so that you can substitute in the other to make it a single-variable equation. you then solve for that variable by isolating it and you can solve for the second variable afterwards. hope this helps!
8. the weights of cows offered at an auction in one region are normally distributed with a mean of 825.0 pounds and a standard deviation of 74.8 pounds. one cattleman only wants to bid on cows that are in the top 5% of weight. what is the lowest weight cow that the cattleman should bid on
The cattleman should bid on cows that weigh at least 944.0 pounds, which is the weight corresponding to the top 5% of the normally distributed weights of cows.
To determine the lowest weight cow that the cattleman should bid on, we need to find the weight that corresponds to the top 5% of the weight distribution.
Using the standard normal distribution, we can find the z-score that corresponds to the top 5% of the distribution as follows:
z = invNorm(0.95) ≈ 1.645
where invNorm is the inverse of the standard normal cumulative distribution function, which can be found using a statistical calculator or a standard normal distribution table.
Next, we can use the z-score formula to convert the z-score to a weight value:
z = (x - μ) / σ
Solving for x, we get:
x = z * σ + μ
Substituting the values given in the problem, we get:
x = 1.645 * 74.8 + 825.0
x ≈ 944.0 pounds
Therefore, the cattleman should bid on cows that weigh at least 944.0 pounds.
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during an experiment the tempsture of mixture changes from 12 1/4 F to 15 3/5 F what is the percent of the increse in the temperature of the mixture
HURRY!
The percentage of the increase in the temperature of the mixture is 27.34%.
What is the percentage?
A percentage is a figure or ratio that may be stated as a fraction of 100 in mathematics. If we need to compute the percentage of a number, divide it by the entire and multiply by 100. As a result, the percentage denotes a part per hundred. Per 100 is what the term percent signifies. The sign "%" represents it.
Here are some percentage examples:
10% is 1/10 of a fraction.
20% is equal to a 1/5 portion.
25% is equal to 1/4 fractions.
Now,
As percentage increase = (final value-initial value) / initial value *100
Here initial temperature=12 1/4 F=49/4 F and
Final temperature = 15 3/5=78/5 F
then (final value-initial value) =78/5-49/4=15.6-12.25
=3.35
therefore, percentage increase=3.35/12.25*100
=0.2734*100
=27.34%
Hence,
The percentage of the increase in the temperature of the mixture is 27.34%.
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Three friends, Martin, Tyreese, and Braydon, are collecting donations to help in their community's clean-up initiative. Their total contribution goal is represented by the expression 8x2 − 4xy + 9. The friends have already collected the following amounts: Martin: 3xy + 17 Tyreese: x2 Braydon: 2x2 − 6 Which expression represents the amount of money the friends still need to collect to meet their goal? 11x2 −xy + 20 5x2 − xy + 20 5x2 − 7xy − 2 3x2 + 3xy + 11
The expression that represents the amount of money the friends still need to collect to meet their goal is 5x² - 7xy + 20. The solution has been obtained by using arithmetic operations.
What are arithmetic operations?
The four fundamental mathematical operations that can be used to express any real number are referred to as "arithmetic operations" in mathematics. The four operations are addition, subtraction, division, and multiplication.
We are given the total contribution goal as 8x² - 4xy + 9
Amounts collected by:
Martin = 3xy + 17
Tyreese = x²
Braydon = 2x² - 6
So, the total amount collected till now is
(3xy + 17) + x² + (2x² - 6) = 3x² + 3xy - 11
Amount left to be collected is
⇒(8x² - 4xy + 9) - (3x² + 3xy - 11)
⇒8x² - 4xy + 9 - 3x² - 3xy + 11
⇒5x² - 7xy + 20
Hence, the expression is 5x² - 7xy + 20.
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a research company is claiming that 75% of college students shop online. jamila takes a sample of 200 college students and finds that 120 college students shop online. which type of inference test should jamila use?
Since the research company is making a claim about the proportion of college students who shop online and Jamila is taking a sample of college students to test this claim, she should use a one-proportion z-test.
A one-proportion z-test is used to test whether the proportion of successes in a sample is significantly different from a hypothesized proportion. Here, the hypothesized proportion is 75% (the claim made by the research company) and the sample proportion is 120/200 = 0.6.
Jamila can use the one-proportion z-test to determine whether the difference between the sample proportion and the hypothesized proportion is statistically significant. The null hypothesis is that the sample proportion is equal to the hypothesized proportion (i.e., p = 0.75), and the alternative hypothesis is that the sample proportion is not equal to the hypothesized proportion (i.e., p ≠ 0.75).
Based on the sample size and the fact that the population standard deviation is not known, Jamila should use the normal approximation to the binomial distribution to perform the one-proportion z-test.
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Write a linear function for the data in the table.
X
y
0
8
1
4.5
2
1
3
-2.5
4
-6
Need helppppp asappppp pleaseee
Step-by-step explanation:
oh, come on ! we are dealing with rectangles.
and you know how to get the perimeter and the area of a rectangle. upper elementary school students can do that.
remember, the perimeter is the distance when you walk all around the rectangle.
so, 2 times the length and 2 times the width.
and the area is simply length × width.
but your teacher was very lazy and careless with some phrasing about what is needed.
the original room is 8 ft × 3 ft.
1.
the length of border needed is exactly the perimeter.
so,
2×8 + 2×3 = 16 + 6 = 22 ft
2.
the area of the floor is
8×3 = 24 ft²
this is the amount of floor panels to be bought. we buy them in ft².
3.
the new room is (8+3) ft × (3-2) ft. = 11 ft × 1 ft.
that is a very strange room. no human can live in such a room.
I think your teacher meant (8-2) ft × (3+3) ft = 6 ft × 6 ft.
but let's stick with the original information.
the border for this room (perimeter) is
2×11 + 2×1 = 22 + 2 = 24 ft
4.
the floor area is
11 × 1 = 11 ft²
if we consider my correction of the room size, it is
6×6 = 36 ft²
5.
"difference in size" is not clear. regarding the dimensions (side lengths and correspondingly the perimeter) or regarding the floor size ?
if we consider the perimeter, the difference is
24 - 22 = 2 ft
the new room's perimeter is 2 ft less.
if we consider the floor area, the difference is
24 - 11 = 13 ft²
the new room is 13 ft² smaller.
or for my size correction, the difference is
36 - 24 = 12 ft²
the new room is then 12 ft² larger.
