I need some help in this
2 3/4x=33/2 what is x equal to?
The required simplified value of the given expression is x = 22.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
here,
Given expression,
3/4x=33/2
x = 33 / 2 × 4 / 3
x = 11 × 2
x = 22
Thus, the required simplified value of the given expression is x = 22.
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point slope form holt mcdougal practice B lesson 5-8 answer key??
The point slope form of a linear equation is an equation that describes the relationship between two variables, x and y, in terms of their linear relationship.
What is the point slope form?It takes the form:.y - y₁ = m(x - x₁)
where (x₁, y₁) is a point on the line and m is the slope of the line.
In this form, you can find the equation of a line if you know a point on the line and the slope of the line. You can also use this form to find the equation of a line if you are given two points on the line, by first finding the slope using the two points, and then plugging in one of the points and the slope into the equation.
The point slope form can be useful in a variety of contexts, such as in graphing and in solving problems involving rates of change.
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2) Solve
X+X+x+x
I really need help it’s kinda confusing
Joey is flying his Cesna due Northwest at 188mph. Unfortunately, a wind traveling.
60mph due 150 bearing. Find Joey's actual Speed and direction.
Joey's actual speed is 143.59 mph, and his actual direction is slightly west of northwest.
Given that Joey's aircraft speed: 188 mph
Wind speed: 60 mph
Wind direction: 150 degrees (measured clockwise from due north)
We can consider the wind as a vector, which has both magnitude (speed) and direction.
The wind vector can be represented as follows:
Wind vector = 60 mph at 150 degrees
We convert the wind direction from degrees to a compass bearing.
Since 150 degrees is measured clockwise from due north, the compass bearing is 360 degrees - 150 degrees = 210 degrees.
Joey's aircraft speed vector = 188 mph at 0 degrees (due northwest)
Wind vector = 60 mph at 210 degrees
To find the resulting velocity vector, we add these two vectors together. This can be done using vector addition.
Converting the wind vector into its x and y components:
Wind vector (x component) = 60 mph × cos(210 degrees)
= -48.98 mph (negative because it opposes the aircraft's motion)
Wind vector (y component) = 60 mph×sin(210 degrees)
= -31.18 mph (negative because it opposes the aircraft's motion)
Now, we can add the x and y components of the two vectors to find the resulting velocity vector:
Resulting velocity (x component) = 188 mph + (-48.98 mph) = 139.02 mph
Resulting velocity (y component) = 0 mph + (-31.18 mph) = -31.18 mph
Magnitude (speed) = √((139.02 mph)² + (-31.18 mph)²)
= 143.59 mph
Direction = arctan((-31.18 mph) / 139.02 mph)
= -12.80 degrees
The magnitude of the resulting velocity vector represents Joey's actual speed, which is approximately 143.59 mph.
The direction is given as -12.80 degrees, which indicates the deviation from the original northwest direction.
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Enter a recursive rule for the geometric sequence.
3, - 12, 48, - 192, ..
Start at 3 and multiply by -4 each time.
what happens to the Y
11= 2y + 5
______________________________
1.) Subtract 5 from both sides:\(5-5=\) Cancels Out\(11-5=6\)2.) Divide both sides by 2:\(2y\) ÷ \(2=y\)\(6\) ÷ \(2=3\)
______________________________
What are the terms to this polynomial: 4x2 + 9x - 1/2
Answer:
Decimal Form:
1.5
Mixed Number Form:
1 1/2
Step-by-step explanation:
What is the length of ONE side in a square if the perimeter is 4x + 25
Answer:
Hi, you already asked this question, the answer is 6...
Step-by-step explanation:
write down the number of tens that can be found in the figures below
9
95
26
100
1000
Answer:
There are 121 tens in the figures.
Step-by-step explanation:
9- No tens
95- 9 tens
26- 2 tens
100- 10 tens
1000- 100 tens
If you add the number of tens up, you will get 121.
Solve.
−0.2x−2.73=−3.2
Enter your answer as a decimal or as a mixed number in simplest form in the box.
x =
Answer:
x = 2.35
Step-by-step explanation:
Answer:
2.35 for K12
Step-by-step explanation:
6/10÷3/4=
Solve the question
Answer: 24/30
Step-by-step explanation:
When you divide fraction, you use KCF which stands for keep, change, flip.
So you KEEP 6/10, CHANGE ÷ to x and FLIP 3/4 to 4/3 and it became : 6/10 (times) 4/3 so 6x4 is 24 And 10x3 is 30. 24/30
I hope this help!! :)
The quantities xxx and yyy are proportional. xxx yyy 777 353535 121212 606060 202020 100100100 Find the constant of proportionality (r)(r)left parenthesis, r, right parenthesis in the equation y=rxy=rxy, equals, r, x.
Answer: The constant of proportionality is r = 5.
Step-by-step explanation:
O, we know that x and y are proportional, this means that:
y = r*x
where r is the constant of proportionality.
we also have the table
x y
7 35
12 60
20 100
Now, we can replace those values in our equation and get, for the first pair:
35 = r*7
r = 35/7 = 5
for the second pair:
60 = r*12
60/12 = 5 = r
So we can conclude that the constant of proportionality is 5.
Answer:
5
Step-by-step explanation:
It was right for me on khan
PLEASE HELP QUICK! Will give brainliest
Translate the sentence into an equation.
Two times the sum of a number and 9 is equal to 5.
Use the variable b for the unknown number.
Explain how you got he answer
Answer:
2 (b+9) = 5
2 times= multiplication of 2
SUM of a number and 9= addition of b and 9
Write the number 4, 207 in expanded form.
A. (41000) + (2 · 100) + (0 · 10) + (7.1)
B. (4.1000) + (2 · 100) + (7.10)
C. (4.1000) + (20 · 100) + (7.10)
D. (4 100) + (2 · 10) + (1 7)
The number 4, 207 in expanded form is (4 × 1000) + (2 × 100) + (0 × 10) + (7 × 1) which is correct option(A)
What are Arithmetic operations?Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.
The operator that perform arithmetic operation are called arithmetic operators .
Operators which let do basic mathematical calculations
+ Addition operation : Adds values on either side of the operator.
For example 4 + 2 = 6
- Subtraction operation : Subtracts right hand operand from left hand operand.
for example 4 -2 = 2
* Multiplication operation : Multiplies values on either side of the operator
For example 4*2 = 8
/ Division operation : Divides left hand operand by right hand operand
For example 4/2 = 2
Given the number is 4, 207
The number is the addition of 4000, 200 and 7
So, 4207 = 4000 + 200 + 7
4000 is the product of 4 and 1000,
200 is the product of 2 and 100,
4207 = (4 × 1000) + (2 × 100) + (0 × 10) + (7 × 1)
Hence, It is the expanded form of number 4,207.
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Match each value or variable to its part in the expression 68h + 13
Answer:
Hope this helps Ya
Step-by-step explanation:
Step-by-step explanation:
We are given that the company's promotional literature states that 68% of the chips fail in the first 1000 hours of their use. Also, a sample of 900 computer chips revealed that 66% of the chips fail in the first 1000 hours of their use.
And the quality control manager wants to test the claim that the actual percentage that fail is different from the stated percentage, i.e;
Null Hypothesis, : p = 0.68 {means that the actual percentage that fail is same as the stated percentage}
Alternate Hypothesis, : p 0.68 {means that the actual percentage that fail is different from the stated percentage}
The test statistics we will use here is;
T.S. = ~ N(0,1)
where, p = actual percentage of chip fail = 0.68
= percentage of chip failed in a sample of 900 chips = 0.66
n = sample size = 900
So, Test statistics =
= -1.267
Now, at 0.02 significance level, the z table gives critical value of -2.3263 to 2.3263. Since our test statistics lie in the range of critical values which means it doesn't lie in the rejection region, so we have sufficient evidence to accept null hypothesis.
This rectangle represents the base of a rectangular prism. The height of the rectangular prism is 56 m.
What is the volume of the rectangular prism?
Responses
A.212 m³
B.525 m³
C.5,600 m³
D.29,400 m³
what fraction of 5 liters is 1500 ml
Answer:
3/10
Step-by-step explanation:
There are 1000 mL in a L
1500mL=1.5L
So
1.5/5
multiply by 10/10
15/50
Simplify:
3/10
Hopefully I was helpful!
Which equation is true?
An equation which is true include the following: A. 4 × n × n × n × n = 4n⁴.
What is an exponent?In Mathematics, an exponent is a mathematical operation that is typically used in conjunction with an algebraic expression in order to raise a quantity to the power of another.
This ultimately implies that, an exponent is represented by the following mathematical expression;
bⁿ
Where:
the variables b and n are numerical values (numbers) or an algebraic expression.n is referred to as a superscript or power.By applying the multiplication law of exponents for powers to each of the expressions, we have the following:
4 × n × n × n × n = 4n⁴
4 × n⁴ = 4n⁴
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2 Mabaso has R140, Thabo has R70 and Ally has R35. What is the ratio of the amount of money Mabaso has, to the amount of money Thabo has and to the amount of money Ally has? Write the ratios in simplest form. The price of a steel table is R750. On Black Friday the table could be bought for R600. Calculate the percentage discount? Show ALL your calculations. Convert 125 g to kilograms. (1 kg = 1 000 grams) A green grocer packs 12 apples in a plastic bag. Calculate the number of bags he w need if he has 285 apples. The scale of a map is 1 500 000. Determine the actual distance in km if measurement on the map is 23,7 cm. Hint: 1 km = 100 000 cm
The actual distance represented by 23.7 cm on the map is 355.5 km.
To find the ratio of the amount of money Mabaso has to the amount of money Thabo has and the amount of money Ally has, we can divide each amount by the smallest amount (which is R35) to simplify the ratio.
Mabaso has R140, Thabo has R70, and Ally has R35.
The ratio of Mabaso's money to Thabo's money is:
R140 ÷ R35 = 4
The ratio of Mabaso's money to Ally's money is:
R140 ÷ R35 = 4
Therefore, the ratio of the amount of money Mabaso has to the amount of money Thabo has and to the amount of money Ally has is 4:1:1.
To calculate the percentage discount of a steel table, we need to find the difference between the original price and the discounted price, and then divide it by the original price. Finally, we multiply the result by 100 to get the percentage.
Original price: R750
Discounted price: R600
Discount: R750 - R600 = R150
Percentage discount: (R150 ÷ R750) × 100 = 20%
So, the table has a 20% discount on Black Friday.
To convert 125 grams to kilograms, we divide the amount in grams by 1,000 (since there are 1,000 grams in a kilogram).
125 g ÷ 1,000 = 0.125 kg
Therefore, 125 grams is equal to 0.125 kilograms.
If a green grocer packs 12 apples in a plastic bag and has 285 apples, we divide the total number of apples by the number of apples per bag to determine the number of bags needed.
Number of bags needed: 285 apples ÷ 12 apples/bag = 23.75 bags
Since we can't have a fraction of a bag, we round up to the nearest whole number. Therefore, the green grocer would need 24 bags.
If the scale of a map is 1,500,000 and the measurement on the map is 23.7 cm, we can use the scale to determine the actual distance.
1 cm on the map represents 1,500,000 cm in reality.
23.7 cm on the map represents x cm in reality.
x = 23.7 cm × 1,500,000 cm = 35,550,000 cm
To convert cm to km, we divide by 100,000 (since there are 100,000 cm in a kilometer).
35,550,000 cm ÷ 100,000 = 355.5 km
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19,20,21 are all one question . I just need help with those
the first distribution is symmetric and has a bell shape. And the second one is skewed to the right
Solve the following equation for w
3w-7= √8w-7
Step-by-step explanation:
to\(3w - 7 = \sqrt{8w - 7} \\ {(3w - 7)}^{2} = ({ \sqrt{8w - 7} })^{2} \\ 9 {w}^{2} - 42w + 49 = 8w - 7 \\ 9 { w}^{2} - 42w - 8w + 49 + 7 = 0 \\ 9 {w}^{2} - 50w + 56 = 0 \\ (9w - 14)(w - 4) = 0 \\ w = \frac{14}{9} \: or \: w = 4\)
to make sure the answer
substitute w = 14/9 and w = 4 to the equation.
if w = 14/9
\(3w - 7 = \sqrt{8 w - 7} \\ 3 \times \frac{14}{9} - 7 = \sqrt{8 \times \frac{14}{9} - 7} \\ - \frac{ 7}{3} = \frac{7}{3} \)
we know that if we substitute w = 14/9, the answer is not the same.
if w = 4
\(3w - 7 = \sqrt{ 8 w - 7 } \\ 3 \times 4 - 7 = \sqrt{8 \times 4 - 7} \\ 5 = 5\)
if we substitute w = 4 the answer is the same.. we can conclude the the answer of 3w - 7 = √8w - 4 is 4
#CMIIWIn a study, 44% of adults questioned reported that their health was excellent. A researcher wishes to study the health of people living close to a nuclear power plant. Among 14 adults randomly selected from this area, only 3 reported that their health was excellent. Find the probability that when 14 adults are randomly selected, 3 or fewer are in excellent health. Group of answer choices
Answer:
Step-by-step explanation:
Probability(P) (k events out of n trials) = nCk * p^k * (1-p)^(n-k), where p=0.40, n=10 and nCk is the number of combinations of n things taken k at a time
:
P ( k < or = 3 ) = P ( k = 3 ) + P ( k = 2 ) + P ( k = 1 ) + P ( k = 0 )
:
P ( k = 3 ) = 10C3 * (0.40)^3 * (0.60)^(10-3) = 0.2149
:
P ( k = 2 ) = 10C2 * (0.40)^2 * (0.60)^(10-2) = 0.1209
:
P ( k = 1 ) = 10C1 * (0.40)^1 * (0.60)^(10-1) = 0.0403
:
P ( k = 0 ) = 10C0 * (0.40)^0 * (0.60)^(10-0) = 0.0060
:
******************************************************************************
P ( k < or = 3 ) = 0.2149 + 0.1209 + 0.0403 + 0.0060 = 0.3821 is approximately 0.38
The probability that when 14 adults are randomly selected and 3 or fewer are in excellent health is 0.072
What is probability ?Probability shows possibility to happen an event, it defines that an event will occur or not. The probability varies from 0 to 1.
Given that,
The percentage of adults who reported their health was excellent = 44 %
The probability of excellent health P = 0.44
The probability of not excellent health = Q - 1 - 0.44 - 0.56
Since, 14 adults are randomly selected.
To find the probability that 3 or fewer are in excellent health,
Use formula
Probability = \(^nC_rP^n Q^{n-r}\)
Where P = probability to happen an event, and Q= probability to not happen an event.
The probability that 3 or fewer are in excellent health
= \(^{14}C_3 (0.44)^3(0.56)^{14-3} +^{14}C_2(0.44)^2(0.56)^{14-2}+^{14}C_1 (0.44)^1(0.56)^{14-1} + ^{14}C_0 (0.44)^0(0.56)^{14}\)
= 0.0526 + 0.0167 + 0.00328 + 0.000298
= 0.072282
The required probability is 0.072282.
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A triangle has an area of 114.6 square kilometers and a height of 12 kilometers. What is the length of the base?
Answer:
base = 19.1 km
Step-by-step explanation:
start with formula:
A = bh/2
plug in what's known:
114.6 = 12b/2
114.6 = 6b
b = 114.6/6
b = 19.1
Someone help with this one please
Answer: 127.2
Step-by-step explanation: 1⁄2(a × b) + 3⁄2(b × s) is the formula for triangular pyramids. When you follow this formula for triangular pyramids, you will always get these correct.
Answer:
i forgot my answer this was my last weak module why am i so forgetfull
umm
127.2
Create and solve
an equation with
2 variables(x).
Answer:
5x-2=3x+4
x=3
Step-by-step explanation:
Hope I helped!
Explain to a junior high school student why geometry should be included in the school mathematics curriculum
determine whether the lines are parallel, perpendicular, or neither L1: y= -2/3x-3, L2 y= -2/3x+6
The two linear equations have the same slope, -2/3, and different y-intercepts, thus, the lines are parallel.
Are the lines parallel, perpendicular or neither?A general linear equation is written as:
y = a*x +b
Where a is the slope and b is the y-intercept.
Two linear equations are parallel if both lines have the same slope and different y-intercepts.
And two lines are perpendicular if the product between the slopes is equal to -1.
In this case, we have the two linear equations:
y= -(2/3)*x - 3
y= -(2/3)*x + 6
So you can see that both linear equations have the same slope -2/3 and different y-intercepts, thus, the lines are parallel.
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What fraction of the numbers from 1 to 20 contain the digit 6?
The fractions that contain the digit 6 are 1/6, 5/6, 7/6, 11/6, 13/6, 17/6, 19/6, 6/1, 6/5, 6/11, 6/13, 6/17, 19/6 ...etc.
What are Fractions:The word "fraction" is derived from Latin. "Fractus" means "broken" in Latin. Fractions are referred to as the parts of a whole number in mathematics. A single thing or a collection of objects might be entire.
In simple words, It is also defined as a mathematical number that illustrates the components of a whole.
In a fraction, the upper portion is known as the numerator and the lower portion is known as the denominator.
Here we have numbers from 1 to 20
The fractions that can be formed from 1 to 20 numbers and that contain the digit 6 are given below
1/6, 5/6, 7/6, 11/6, 13/6, 17/6, 19/6, 6/1, 6/5, 6/11, 6/13, 6/17, 19/6 ...etc.
As given above we can form different fractions that contain the digit 6
Therefore,
The fractions that contain the digit 6 are 1/6, 5/6, 7/6, 11/6, 13/6, 17/6, 19/6, 6/1, 6/5, 6/11, 6/13, 6/17, 19/6 ...etc.
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Hello everyone-SOLVING nonlinear system of equations- ALGEBRA 1
The solution to the nonlinear system of equations is (x, y) = (-3, -2) and (x, y) = (1, 6). These points represent the coordinates where the two equations intersect and satisfy both equations simultaneously.
To solve the nonlinear system of equations:
Equation 1: \(y = -x^2 + 7\)
Equation 2: y = 2x + 4
We can equate the right sides of both equations since they both represent y.
\(-x^2 + 7 = 2x + 4\)
To simplify the equation, we can rearrange it to be in the standard quadratic form:
\(x^2 + 2x - 3 = 0\)
Now, we can solve this quadratic equation by factoring, completing the square, or using the quadratic formula. In this case, let's use factoring:
(x + 3)(x - 1) = 0
From this equation, we get two possible solutions:
x + 3 = 0 => x = -3
x - 1 = 0 => x = 1
Now, we substitute these x-values back into either equation to find the corresponding y-values.
For x = -3:
y = 2(-3) + 4
y = -6 + 4
y = -2
For x = 1:
y = 2(1) + 4
y = 2 + 4
y = 6
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You are choosing between two health clubs club a offers membership for a fee of $13 plus a monthly fee of $28 club B offers membership for a fee of $19 plus a monthly fee of $27 after how many months will the total cost of each health club be the same? What will be the total cost for each club?
To determine when the total cost of each health club will be the same, we can set up an equation and solve for the number of months.
Let's assume the number of months is represented by 'x'.
For Club A, the total cost is given by:
Total cost of Club A = $13 (one-time fee) + $28x (monthly fee)
For Club B, the total cost is given by:
Total cost of Club B = $19 (one-time fee) + $27x (monthly fee)
To find the number of months when the total cost is the same, we set the two equations equal to each other:
$13 + $28x = $19 + $27x
Simplifying the equation, we get:
$28x - $27x = $19 - $13
$x = 6
Therefore, after 6 months, the total cost of each health club will be the same.
To find the total cost for each club after 6 months, we substitute the value of 'x' back into the equations:
Total cost of Club A after 6 months = $13 + $28(6) = $13 + $168 = $181
Total cost of Club B after 6 months = $19 + $27(6) = $19 + $162 = $181
So, the total cost for both Club A and Club B will be $181 after 6 months.
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