As a result, the variable x is 9 which is the correct answer.
What exactly is an equation?By combining two expressions, the equation generates a mathematical expression, similar to an expression. A typical equation would have been 3x - 5 = 16. The solution to this equation reveals that the value assigned to the variable x is 7.
We'll refer to the number we're looking for as "x" for the time being.
The problem states that the result of "x" and -6.5 is -58.5:
-6.5x = -58.5
We can divide all of the equation's components by -6.5 to find the answer to "x":
x = -58.5 ÷ -6.5
x = 9
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One angle of a right triangle measures 45°. What is the measure of the other acute angle?
Answer:
Below
Step-by-step explanation:
EVERY triangle's angles add up to 180 degrees
a RIGHT triangle has a 90 degree angle
this right triangle also has a 45 degree angle
let x° = third angle
90° + 45° + x° = 180°
x = 180 - 90 - 45 = 45 degrees
meter. Mary negotiates and is allowed 15% cash discount. How much will Mary pay if she decides to pay cash for 3m of irrigation pipe. (4) 4.4 3 3 10 5 calculate During a Mathematics lesson, Sipho was given the sum 4- +1/ step by step for the rest of the class. Analyse each step that Sipho did and explain the misconception on every step. You may write fractions in words e.g. 1 over 4 or in the form 14. (8) 4 3 10 34 10 34 10 - 3 5 3 1 5 4 ÷ 2280ײ/201 1 4 step 1 step 2 step 3
Answer:
ambiguous question dear!!
Step-by-step explanation:
Jevonte mowed 6 lawns in 4 hours. What was his rate of mowing in lawns per hour?
Jevonte's rate of mowing is 1.5 lawns per hour.
How do rates work?A rate in mathematics is an indicator of how one quantity has changed in relation to another, usually given as a ratio or fraction. Rates are frequently used to explain the relationship between two quantities as they vary through time, space, or another variable. For instance, whereas interest rates track the evolution of money over time, speed tracks the change in distance per unit of time. Rates are used to describe and study numerous phenomena in several disciplines, including physics, economics, and finance.
Given that, Jevonte mowed 6 lawns in 4 hours.
Thus,
Rate of mowing = Number of lawns / Number of hours
Rate of mowing = 6 lawns / 4 hours
Rate of mowing = 1.5 lawns per hour
Hence, Jevonte's rate of mowing is 1.5 lawns per hour.
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50 points! Compare the triangles and determine whether they can be proven congruent, if possible, by SSS, SAS, ASA, AAS, or HL. Write your answer in the box.
Answer:
1. ASA
2.SSS
3. AAS
4. HL
5. it cannot be proven congruent (not satisfy any criteria)
6. ASA (the top angle of each triangle are congruent)
7. SAS
8. SSS
9. HL
10. AAS
11. it cannot be proven congruent (not satisfy any criteria)
12. SAS or AAS or ASA (the three angles of each triangle are congruent)
Step-by-step explanation:
In the picture attached, the triangles are shown. The criteria are:
SSS: side side side
SAS: side angle side
ASA: angle side angle
AAS: angle angle side
HL: hypotenuse-leg (only valid for right triangles)
On a standardized science test, the seniors at a high school have a mean score of 425 with a standard deviation of 80. What is the probability that a random sample of 50 seniors has a mean score of at most 415?
The probability that a random sample of 50 seniors has a mean score of at most 415 is given as follows:
0.1894 = 18.94%.
How to obtain probabilities using the normal distribution?The z-score of a measure X of a variable that has mean symbolized by [tex]\mu[/tex] and standard deviation symbolized by [tex]\sigma[/tex] is obtained by the rule presented as follows:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score represents how many standard deviations the measure X is above or below the mean of the distribution, depending if the obtained z-score is positive or negative.Using the z-score table, the p-value associated with the calculated z-score is found, and it represents the percentile of the measure X in the distribution.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].The parameters are given as follows:
[tex]\mu = 425, \sigma = 80, n = 50, s = \frac{80}{\sqrt{50}} = 11.31[/tex]
The probability that they scored at most 415 is the p-value of Z when X = 415, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem:
[tex]Z = \frac{X - \mu}{s}[/tex]
Z = (415 - 425)/11.31
Z = -0.88
Z = -0.88 has a p-value of 0.1894.
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In the diagram below, triangle PQR is congruent with triangle STR. Complete the statement PQ is congruent with
A. RP
B. QT
C. ST
D. RQ
Answer:
Step-by-step explanation:
10 + 10 = 20
☁️Answer☁️ I think D.
️Step-by-step explanation️ hope this helps
1/5 + 1/4 greater than or less than 1/2? if anyone knows please help
Answer:
less than
Step-by-step explanation:
just multiply top and bottom untill the denominator is the same
Which equation could be used to find the area of this circle in
square feet?
Answer:
22² · π
Step-by-step explanation:
The formula to find the area of the circle is
A = π · r²
r = 22
Looking at the options, the answer is 22² · π
The following are selected transactions of Vaughn Company. Vaughn prepares financial statements quarterly. Jan. 2 Purchased merchandise on account from Nunez Company, $40,000, terms 2/10, n/30. (Vaughn uses the perpetual inventory system.) Feb. 1 Issued a 9%, 2-month, $40,000 note to Nunez in payment of account. Mar. 31 Accrued interest for 2 months on Nunez note. Apr. 1 Paid face value and interest on Nunez note. July 1 Purchased equipment from Marson Equipment paying $10,500 in cash and signing a 10%, 3-month, $68,400 note. Sept. 30 Accrued interest for 3 months on Marson note. Oct. 1 Paid face value and interest on Marson note. Dec. 1 Borrowed $27,600 from the Paola Bank by issuing a 3-month, 8% note with a face value of $27,600. Dec. 31 Recognized interest expense for 1 month on Paola Bank note. 1.Prepare journal entries for the listed transactions and even
We can state this by responding to the provided question December 31: equation Interest Paid 184 Interest Expensed 184 (To charge interest for one month on the Paola Bank note)
What is equation?A mathematical equation links two statements and utilises the equals sign (=) to indicate equality. In algebra, an equation is a mathematical assertion that proves the equality of two mathematical expressions. For instance, in the equation 3x + 5 = 14, the equal sign separates the numbers by a gap. A mathematical formula may be used to determine how the two sentences on either side of a letter relate to one another. The logo and the particular piece of software are usually identical. like, for instance, 2x - 4 = 2.
The journal entries for the mentioned transactions are as follows:
Jan. 2: 40,000 in product inventory and 40,000 in accounts payable (To record the purchase of merchandise on account)
April 1: Cash 40,600 Accounts Payable 40,000 Interest Payable 600 (To record the payment of the Nunez note and interest)
Oct. 1: Cash 70,110 Notes Payable 68,400 Interest Payable 1,710 (To record the payment of the Marson note and interest)
Cash 27,600 Notes Payable 27,600 as of December 1
(In order to document the note's issuance to Paola Bank)
December 31: Interest Paid 184 Interest Expensed 184
(To charge interest for one month on the Paola Bank note)
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3.Jason needs at least 260 eggs for a charity breakfast. He writes the inequality
12d+72 ≥ 260 to represent the number of dozens of eggs, d, that he needs to buy
since he already has 72 eggs. Which statement best explains whether d = 7 is a solution to
Jason's inequality?
A. d= 7 is a solution because 12 x 7 = 84 and 84 is greater than 72.
B. d= 7 is a solution because 12 x 7 + 72 = 156 and 156 is less than 260.
C. d= 7 is not a solution because 127 + 72 = 199 and 199 is less than 260.
D. d= 7 is not a solution because 12 x 7+72 = 156 and 156 is less than 260.
Answer:
The answer is D hope this helps:)
Step-by-step explanation:
In the circle below, suppose m WXU = 152° and mXWV=71°. Find the following.
(a) mWXU =
(b) mXUV =
The value of angle mXUV is 76⁰.
The value of angle mXUV is 109⁰.
What is the value of angle mWXU ?
The measure of angle mWXU is calculated by applying the following circle theorem.
mWXU = ¹/₂ ( 152⁰ ) (angle at tangent is half the angle subtended by an arc )
mWXU = 76⁰
The value of angle mXUV is calculated as follows;
mXUV + mXWV = 180 (opposite angles of a cyclic quadrilateral)
mXWV + 71 = 180
mXWV = 180 - 71
mXWV = 109⁰
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Use the Associative Property to write an expression equivalent to (5.1u+8) +6.
Which expression is equivalent to (5.1u+8) + 6 using the Associative Property?
A. 6+(5.1u+8)
B. 5.1u+(8+6)
C. (5.1u+6) +8
D. 5.1u+8+6
An equivalent expression of (5.1u + 8) + 6 is 5.1u + (8 + 6)
How to write an equivalent expressionFrom the question, we have the following parameters that can be used in our computation:
(5.1u + 8) + 6
The associative property states that
(a + b) + c = a + (b + c)
Using the above as a guide, we have the following equation
(5.1u + 8) + 6 = 5.1u + (8 + 6)
Hence, the expression is 5.1u + (8 + 6)
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Simplify expression 6+(-4)(2-3)^2=
Answer:
We can simplify the expression as follows:
First, we need to evaluate the exponent in parentheses:
2-3 = -1
Next, we need to square -1:
(-1)^2 = 1
Now, we can substitute 1 back into the expression:
+(-4)(1)
Finally, we can simplify:
+(-4) = -4
Therefore,
+(-4)(2-3)^2 = -4.
Step-by-step explanation:
What is an equation of the line that passes through the points ( 2 , 8 ) (2,8) and ( − 8 , − 7 ) (−8,−7)?
Therefore , the solution of the given problem of linear equation comes out to be y= (3/2)x + 5 .
Define linear equation.The equation y=mx+b is the basis of a linear regression model. B is the slope, and m is the y-intercept. The aforementioned sentence is repeatedly alluded to as a "math problem with two variables," despite the fact that y and y are distinct parts. In bivariate linear equations, there are only two variables. The application regions for linear equations have no definitive solutions.
Here,
We must first determine the slope of the line before using the point-slope form of the equation of a line to determine the equation of the line that goes through two points.
The angle of the line that connects the coordinates (2, 8) and (8, 7) is:
=> slope = (−7 − 8) / (−8 − 2)
=> slope = −15 / −10
=> slope = 3/2
When we express the equation of a line in the point-slope format, where (x1, y1) is one of the line's points and m is its slope, we get the following result:
=> y − y1 = m(x − x1)
By selecting the line's origin (2, 8) and substituting the slope m = 3/2, we obtain:
=> y − 8 = (3/2)(x − 2)
The equation y = mx + b is transformed into the slope-intercept form by condensing and reordering the variables.
=> y = (3/2)x + 5
Consequently, y = (3/2)x + 5 represents the equation of the line going through the points (2, 8) and (8, 7) respectively.
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Given the linear function f(x) = −4x + 8, what is the value of x if f(x) = 24?
x = 104
x = −4
x = −8
x = −88
Answer:
The value of x = -4
Step-by-step explanation:
The given linear function is f(x) = -4x+8
We have to find the x corresponding to f(x) = 24
For our convenience, let f(x) = y
Then y = -4x + 8
This equation implies y in terms of x.
Isolating x to one side of the equation, we get,
x = (y - 8)/-4 = (8-y)/4
This equation gives x in terms of y.
So when f(x) = y = 24,
x = (8-24)/4
⇒ x = -4
Please I need help. I don’t understand this. It keeps saying I’m getting the answer wrong but I don’t know what I am doing wrong.
Step-by-step explanation:
This figure is made up of a cone and a semi sphere. Let's find the area of the cone
Volume of a cone
[tex] \frac{1}{3} \pi {r}^{2} h[/tex]
The height is 34 cm.
The radius is half the diameter of the sphere ,
this the radius is 14
[tex] \frac{1}{3} \pi( {14}^{2} )(34)[/tex]
Hint: Do not round mid calculations, only when you are done.
Volume of the semi sphere is
[tex] \frac{1}{2} ( \frac{4}{3} \pi {r}^{3} )[/tex]
The radius is 14
[tex] \frac{1}{2} ( \frac{4}{3} \pi(14) {}^{3} )[/tex]
Add both areas
[tex] \frac{1}{3} \pi( {14}^{2} )(34) + \frac{2}{3} \pi(14) {}^{3} [/tex]
Use 3.14 for pi
Which gives us
12719 to the nearest whole number
two numbers sum 20 difference of 9
Answer: 14.5 and 5.5
Step-by-step explanation:
The issue is using whole numbers. 14+6=20, but 14-6=8. 15+5=20, but 15-5=10. If we use decimals, we can get in between the numbers a little to get 9. 14.5+5.5=20, but unlike 14+6, 14.5 gives 5 a tiny boost to push it to 14.5-5.5=9. Hope that helps!
Answer:
14.5
5.5
Step-by-step explanation:
14.5+5.5=20
14.5-5.5=9
7) 83÷9 = That I put que pongo
The scale factor of two similar cylinders is 5:2. The volume of the smaller cylinder is 28 m3. What is the volume of the larger cylinder? Question 8 options: 350 m3 700 m3 437.5 m3 175 m3 70 m3
With a scaling ratio of 5:2, the larger cylinder's volume is (C) 70m³.
What is the scale factor?A scale factor is used when a shape is enlarged and each side is multiplied by the same quantity.
This number represents the scaling factor. Map scale factors are used to show distances between locations accurately.
The new shape created by scaling the original shape is twice as big when the scale factor is 2.
Thus, calculate the larger cylinder's volume as follows:
x/5 = 28/2
2x = 28*5
2x = 140
x = 70m³
Therefore, with a scaling ratio of 5:2, the larger cylinder's volume is (C) 70m³.
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Complete question:
The scale factor of two similar cylinders is 5:2. The volume of the smaller cylinder is 28 m3. What is the volume of the larger cylinder?
Question 8 options:
A. 700 m3
B. 350 m3
C. 70 m3
D, 437.5 m3
E. 175 m3
Answer: 70m^3
Step-by-step explanation:
I took the test
Porter is visiting India and would like to purchase some local spices. He finds some spices that cost 320.38 rupees. If the current exchange rate is 1 dollar:73.6500 rupees, how much do the spices cost in U.S. dollars?
$0.04
$4.35
$22.99
$23,595.99
Answer: $4.35
Step-by-step explanation:
320.38 rupees / 73.6500 rupees = $4.35
9-65 Eric set up this ratio for two similar triangles:
x/12 = 5/9
He solved the problem and found x = 6.67. What was his mistake? What does x REALLY equal?
Eric made the wrong ratio of the sides of the triangle. As corresponding sides of both triangles are in proportion to each other. So, the proportion will be x/12=9/5. x equal to 21.6.
Triangles with the same shape but different sizes are said to be similar triangles. Squares with any side length and all equilateral triangles are examples of related objects. In other words, if two triangles are similar, their corresponding sides are proportionately equal and their corresponding angles are congruent. If the corresponding sides and angles of two triangles are proportionate, then the triangles are similar. As a result, using another triangle, we may determine the dimensions of one triangle.
So, the right ratio of the sides of the triangle is x/12=9/5
12 * 9 / 5 =x
108/5 = x
21.6 = x
Therefore, x is equal to 21.6
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10. A culture starts with 157 bacteria cells, and the number of cells doubles every 15 minutes.
a. Write an equation for the number of cells C after t 15-minute periods.
b. Use the equation to predict the number of cells after 2 hours.
The equation for the number of cells after t-15 minute periods is C = 157 x [tex]2^{t/15}[/tex].
The number of cells after 2 hours is 40,192.
What is the number of cells after 2 hours?The equation for the number of cells after t-15 minute periods is an exponential equation.
The form of the equation will be:
Future population = present population x [tex]2^{number of minutes / 15}[/tex]
C = 157 x x [tex]2^{t/15}[/tex].
Number of cells after 2 hours :
First convert 2 hours to minutes = 2 x 60 = 120 minutes
C = 157 x [tex]2^{120/15}[/tex]
157 x [tex]2^{8}[/tex]
C = 40,192
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Solve for x given the info.
Ignore the pencil mark
Answer x is 7
Step-by-step explanation:
The three angles are 104degrees, (9x-25) and unknown
The pictures shows that the two sides are equal therefore the two opposite angles are equal
104 + (9x-25) +(9x-25) =180
RE write
104 +2(9x-25) =180
Subract 104 from both sides
2(9x-25) = 180-104
2(9x-25) = 76
Divide both sides by 2
9x - 25 = 38
Add 25 to both sides
9x = 63
Divide both sides by 9
X =7
The angle is 9x-25 = 38
Which solid figure is made of only triangular faces?
triangular pyramid
triangular prism
cone
square pyramid
A triangular pyramid is a solid figure made of only triangular faces.
Describe Triangular Pyramid?A triangular pyramid is a type of pyramid that has a triangular base and three triangular faces that meet at a common point or apex. The triangular base is usually referred to as the base face of the pyramid, while the remaining three triangular faces are called lateral faces.
The properties of a triangular pyramid include:
It has one base face and three lateral faces.
All four faces are triangles.
It has four vertices or points.
It has six edges or line segments.
To find the volume of a triangular pyramid, the area of the base face and the height of the pyramid must be known.
Triangular pyramids can be found in many real-world applications, such as in the design of buildings and structures, in geometry and mathematics, and in the study of crystals and minerals. They are also used in computer graphics to create 3D models of objects and environments.
A triangular pyramid is a solid figure made of only triangular faces.
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Andrea and her friend were planning to paint Andrea’s aunt's fence this summer.The last time Andrea painted the fence alone the painting job took her 6 hours. Her friend had painted a similar fence or similar surface area in 4 hours. Which is the best estimate of the time it will take Andrew and her friend to paint the fence together?
The best estimate of the time it will take Andrea and her friend to paint the fence together is 2.4 hours.
What is work and time in mathematics?
In mathematics, work refers to the amount of effort or energy needed to complete a task or achieve a goal. Work is often measured in units such as joules or calories.
Time refers to the duration or amount of time it takes to complete a task or achieve a goal. Time is often measured in units such as seconds, minutes, hours, or days.
To estimate the time it will take Andrea and her friend to paint the fence together, we can use the formula:
Total Time = (Time for Person 1 x Time for Person 2) / (Time for Person 1 + Time for Person 2)
Using this formula, we can estimate the time it will take Andrea and her friend to paint the fence together as:
Total Time = (6 hours x 4 hours) / (6 hours + 4 hours) = 24/10 = 2.4 hours
Therefore, the best estimate of the time it will take Andrea and her friend to paint the fence together is 2.4 hours.
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For a binomial probability distribution, let n = 6 and p = 0.2608. Determine the probability of five successes. (Use 4 decimal places.)
The probability of five successes where the number of trials is 6 and the probability of success is p = 0.2608, for the binomial probability distribution is; P(x = 5) = 0.00535
What is the binomial probability function?The binomial probability function can be expressed as follows;
Pₓ = [tex]\binom{n}{k}[/tex] × Pˣ × (1 - P)⁽ⁿ ⁻ ˣ⁾
Where;
P = The probability of success
x = The number of successes
n = The number of trials
The details from the question includes;
The type of probability distribution = Binomial probability distribution
The number of trials = 6
The probability of success = 0.2608
Therefore;
The probability of success, P = 0.2608
Number of trials, n = 6
The required number of successes, x = 5
Plugging in the above values in the binomial probability formula , we get;
P₅ = [tex]\binom{6}{5}[/tex] × 0.2608⁵ × (1 - 0.2608)⁽⁶ ⁻ ⁵⁾ = 6 × 0.2608⁵ × (1 - 0.2608)⁽⁶ ⁻ ⁵⁾ ≈ 0.0054
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If an atom has a diameter of 4 x 10^-8 cm and it’s nucleus has a diameter of 8 x 10^-13cm, find the ratio of the diameter of the nucleus to the diameter of the atom.
The ratio of the diameter of the nucleus to the diameter of the atom is [tex]2 \times 10^{-5}[/tex] .
What is a ratio?A ratio is a mathematical relationship between two or more numbers that shows how much one number is in relation to the other.
As per the given data:
Diameter of an atom = [tex]4 \times 10^{-8}[/tex] cm
Diameter of the nucleus = [tex]8 \times 10^{-13}[/tex] cm
To find the ratio of the diameter of the nucleus to the diameter of the atom:
Ratio = (diameter of the nucleus) / (diameter of the atom)
Ratio = [tex]\frac{8 \times 10^{-13}}{4 \times 10^{-8}}[/tex]
[tex]= 2 \times 10^{-13 + 8}\\ = 2 \times 10^{-5}\\[/tex]
Hence, the ratio of the diameter of the nucleus to the diameter of the atom is [tex]2 \times 10^{-5}[/tex] .
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Sadie is planning to go paddleboarding this weekend, but wants to know the water temperature at the lake so she can wear the correct gear. The lake temperature is reported to be 10.5 °C today. After a few sunny days, it should be 1.5 °C warmer this weekend.
what will the water temperature be this weekend in F°?
Answer:
To convert from Celsius to Fahrenheit, we can use the formula F = (C × 1.8) + 32.
First, we need to convert 10.5 °C to Fahrenheit:
F = (10.5 × 1.8) + 32
F = 18.9 + 32
F = 50.9 °F
Then, we can add the 1.5 °C increase in temperature:
New C temperature = 10.5 + 1.5 = 12 °C
And convert that to Fahrenheit using the same formula:
F = (12 × 1.8) + 32
F = 21.6 + 32
F = 54.6 °F
Therefore, the water temperature this weekend in F° will be approximately 54.6 °F.
A swimming pool is draining at a constant rate. The amount of water in gallons left in the pool after X minutes is represented by the expression shown.
25,000-30x
What does 30 represent in this context?
So, 30 reflects the amount of water that is being removed from the swimming pool per minute in gallons.
How variables figure out an equation?In the provided formula, 25,000 - 30x, x is the amount of time in minutes and 30 is the pace in gallons per minute at which the pool is draining.
The expression is a linear equation of the form y = mx + b, where x is the length of time that has passed and y is the amount of water that is still in the pool.
The slope (m) of the equation in this instance is -30, which means that the pool's water level is dropping at a rate of 30 gallons per minute.
The expression's value decreases as more time passes because the value of x rises. As a result of the water draining out of the pool at a constant rate of 30 gallons per minute, the pool's volume is dropping linearly over time.
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How to solve this question
Answer:
201.5km
Step-by-step explanation:
50000cm = 500m
1000m + 500m = 1500m
1km = 1000m
So 1.5km = 1500m then..
200km + 1.5km = 201.5km