Answer:
The answer is z = -2
Step-by-step explanation:
You combine like terms.
Then subtract 7z from both sides.
Add 10 to both sides.
Then divide both sides by -14. (28/-14)
Which then equals to -2
solve the set of simultaneous equation.
2x + y = 5
x² + y²= 5
Answer:
(-2,9)
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask ÷)
In a chess club of 56 students, there are 5 boys to every 3 girls. How many girls are in the chess club?
Answer:
21 girls
Step-by-step explanation:
boys : girls = 5 : 3
5+3=8
56/8 = 7
(multiply both ratios by 7):
35 boys : 21 girls
Answer:
21 girls
Step-by-step explanation:
35 boys
21 girls
Solve the following equation (showing all work )
2x=16
Which shows that the set of irrational numbers under addition is not closed?
Answer:
Option 4:
3π +(-3π)
Step-by-step explanation:
3π +(-3π) = 0 and 0 is not irrational. Therefore not closed.
help me please i have no idea what i’m doing
Answer:
1. 5
2. 5/3
3. 4.5
4. 21
5. 10
6. (-12
7. (-1.5
A pair of boots are $94.99. They are 25% off. With this
discount, what is the sale price? Round to nearest
cent if necessary.
If there are 25% discount on the pair of shoes, then the sale price of boots are, $71.24
What is the sale price ?Sale price refers to the price at which a product or service is offered for sale after a discount or reduction from its original or regular price. Sale price is a promotional tool used by retailers to encourage customers to purchase products or services by offering them at a lower price than their regular price. The purpose of a sale price is to increase sales and generate revenue, as well as to clear inventory, attract new customers, and increase brand awareness. The calculation of sale price is typically performed by subtracting a certain percentage or dollar amount from the original or regular price.
Given that,
The boots are $94.99 and are 25% off,
so the discount amount is
⇒ $94.99 x 0.25 = $23.75.
The sale price of the boots is
⇒ $94.99 - $23.75
⇒ $71.24
Rounded to the nearest cent, the sale price is $71.24
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when solving proportions, we set the cross products equal and then we _____________.
When solving proportions, we set the cross products equal, and then we solve for the unknown variable.
When solving proportions, we set the cross products equal to each other and then proceed to solve for the unknown variable. A proportion is an equation that states that two ratios or fractions are equal. To solve a proportion, we first identify the two ratios involved and set their cross-products equal.
For example, consider the proportion: a/b = c/d
To solve for the unknown variable, we set the cross products (a * d) and (b * c) equal:
a * d = b * c
This equation allows us to find the value of the unknown variable by manipulating the equation through multiplication or division to isolate the variable on one side of the equation.
By setting the cross products equal, we essentially establish an equality between the two ratios, indicating that the fractions on either side of the proportion are equivalent. Solving for the unknown variable allows us to determine its value based on the relationship between the given ratios.
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Find the area of the triangle.
Step-by-step explanation:
the area of a triangle :
baseline × height / 2
it does not matter, if the height is inside or outside (like in this case) of the triangle.
the baseline and height pair is always determined by the right angle between them. if there is no right angle, it is not the height to that side (or the side to that height).
so,
the area is
3 × 2/3 / 2 = 1 ft²
Identify the y coordinate for the solution to the system of equations. Solve the system using substitution.
y=2x-11
4x + 3y =-13
Answer:
(2,-7)
Step-by-step explanation:
Plug the first equation into the second equation.
4x+3(2x-11)=-13
4x+6x-33=-13
10x=20
x=2
Now, plug the value of x into one of the equations in order to find y.
y=2(2)-11
y=4-11
y=-7
Mattew is going on a trip to Hawaii and takes a limo to the airport. The driver says it will cost $20 plus 20 cents a mile. Mattew lives 50 miles from the airport
Matthew can travel up to 150 miles for $50, assuming the cost of the limo ride remains constant at a $20 fixed cost plus $0.20 per mile. Let's say Matthew has $50 to spend on the limo ride.
We know that the cost per mile is $0.20, so we can set up an equation:
Cost = $20 + $0.20 x Distance
We can substitute $50 for Cost and solve for Distance:
$50 = $20 + $0.20 x Distance
$30 = $0.20 x Distance
Distance = $30 / $0.20
Distance = 150 miles
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a wire is cut into two pieces, one of length and the other of length . the piece of length is bent to form an equilateral triangle, and the piece of length is bent to form a regular hexagon. the triangle and the hexagon have equal area. what is ?
The value of a/b is \(\sqrt{6}\) / 2
What is called mensuration?The area of mathematics known as mensuration is concerned with measuring geometric shapes and their various characteristics, such as length, volume, shape, surface area, lateral surface area, etc. In fundamental mathematics, learn about mensuration.
What is mensuration in real life?Measurement of agricultural fields, floor areas required for purchase/selling transactions. Measurement of volumes required for packaging milk, liquids, solid edible food items. Measurements of surface areas required for estimation of painting houses, buildings, etc.
According to the question:-
Side of an equilateral triangle equals a/3.
Therefore, the equilateral triangle's area is equal to (1/2)(a/3)2 sqrt (3) / 2 = a2 [sqrt (3)/ 36].
Hexagonal side equals b / 6.
The area is thus 6 (1/2) (b/6)^2 sqrt (3) / 2
= b^2 [ 3 sqrt (3) / 72] = b^2 [sqrt (3) / 24]
So
sqrt (3) / 36 a2 = sqrt (3) / 24 b2
So
A2 / B2 = [Sqrt(3)/24] / [Sqrt(3)/36]
a^2 / b^2 = [ 36 / 24 ]
a^2/ b^2 = 3/2
A/ B = Sqrt(3) / Sqrt(2)
=Sqrt(6) / 2
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(4 +5i)(4 – 5i)= ….?
Answer 41
Step-by-step explanation:
If you need me to show you how just comment
Answer:
73
41
always
Step-by-step explanation:
Just completed it
What the answers plz plz
Step-by-step explanation:
a. 73-24+24=73
b. 59+35-35=59
c. k+m-m=k
John works at Pizza Hut and earns eight dollars per hour. She wants to make at least $104 so that he can buy new phone. write the inequality
Equal to the opposite of -45
Answer:
45 or 1/45
Step-by-step explanation:
not sure
Andre has a summer job selling magazine subscriptions. He earns $25 each week plus $3 for every subscription he sells. Andre hopes to make at least enough money this week to buy a new pair of soccer cleats. Let n represent the number of magazine subscriptions Andre sells this week.
Answer: 25 + 3n
Step-by-step explanation:
Hi, the answer is lacking the last part:
Write an expression for the amount of money he makes this week.
So, to answer this we have to write an expression:
The fixed amount that he earns per week (25) plus the product of the amount he earns per subscription (3) and the number of subscriptions sold (n) , must be equal to his weekly earnings.
Mathematically speaking:
25 + 3n
Feel free to ask for more if needed or if you did not understand something.
Please help with this
Answer: Circle lines
Step-by-step explanation:
Hopefully the attached image helps, it is a diagram of all the labeled lines on a circle excluding the radius (BG or GE)
Calculate the first and second
differences for the function f(x)=
3x² +5
xy First Differences
Second
Differences
05
18
217
332
453
Answer:
Hi,
Step-by-step explanation:
\(\begin{array}{|c|c|c|c|}x&3x^2+5&\Delta_1x&\Delta_2x\\--&--&--&--\\0&5&-&-\\1&8&3&-\\2&17&9&6\\3&32&15&6\\4&53&21&6\\--&--&--&--\\\end{array}\)
Read below i need some help please
a chart contains information on 20 students.
boys left handed=3
boys right handed=9
girls left handed=2
girls right handed=6
what is the probability that a student chosen from random is a girl? give answer as a fraction please and include step by step process
Answer:
8/20
Step-by-step explanation
boys left handed=3
boys right handed=9
girls left handed=2
girls right handed=6
what is the probability that a student chosen from random is a girl? give answer as a fraction please and include step by step process
girls left handed: 2
girls right handed: 6
6+2=8
total all students 20
8/20
Identify the shape of a cross section of the cone below.
The shapes of a cross section of the cone are circle and triangle
How to identify the shape of the cross section of the coneFrom the question, we have the following parameters that can be used in our computation:
The cone
In the cone, we have the following shapes in the cross-sections
CircleTriangleUsing the above as a guide, we have the following:
the shapes of a cross section of the cone are circle and triangle
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What is fourty three hundredths as a decimal
Answer:
0.043
Step-by-step explanation:
0.0 is tenths
0.00 is 100ths
a bicycle wheel has a diameter of 2.8 ft if it rotates at 40 rpm how far will it travel in 2 hours
john and jane go rock-climbing together. john climbs a height of $(x 5)$ miles in $(x-1)$ hours and jane climbs a height of $(x 11)$ miles in $(x 1)$ hours. if john and jane were climbing at the same speed, what must have been their speed, in miles per hour?
Given that John climbs a height of \($(x + 5)$\) miles in \($(x - 1)$\) hours and Jane climbs a height of \($(x + 11)$\) miles in \($(x + 1)$\) hours. We know that the distance covered by both John and Jane are equal.
Distance covered by John = Distance covered by Jane
Therefore, \($(x + 5) = (x + 11)$\)
Thus, x = 6
Now, we need to find the speed of both, which is given by the formulae:
Speed = Distance / Time
So, speed of John = \($(x + 5) / (x - 1)$\) Speed of John =\($11 / 5$\) mph
Similarly, speed of Jane = \($(x + 11) / (x + 1)$\)
Speed of Jane = \($17 / 7$\) mph
Since both have to be equal, Speed of John = Speed of Jane Therefore,
\($(x + 5) / (x - 1) = (x + 11) / (x + 1)$\)
Solving this equation we get ,x = 2Speed of John = \($7 / 3$\) mph
Speed of Jane = \($7 / 3$\) mph
Thus, their speed was \($7 / 3$\) mph.
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what. is the median of the data set: {24, 31, 12, 38, 12, 15}
Answer:
mas pra vc mandar
\(7385\)
Angle 1 and Angle 2 form a linear pair. If the measure of angle is 113°, find the measure of angle 2.
Answer:
<2 =67
Step-by-step explanation:
A linear pair adds to 180 degrees
<1 + <2 =180
113+ <2 = 180
<2 = 180-113
<2 =67
What is the midpoint between (-6, 3) and (4, 9)?
======================================================
Explanation:
The x coordinates of the two points are -6 and 4. They add to -6+4 = -2. Cut this in half to get -2/2 = -1.
The y coordinates of the two points are 3 and 9. They add to 3+9 = 12. Cut this in half to get 12/2 = 6.
The midpoint formula is
\(\left(x_m, y_m) = \left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)\)
In short, you add the corresponding coordinates and then divide by 2.
$1.29, $1.92, $3.19, $1.79, $3.99, $479, 55.19, $5.29, $5.49
4) Henry had 9 items in his shopping cart with different prices (shown). His mean cost of these items was $5.88. At the register, he added a gift card to his purchase for $40.00. Choose ALL
statements about how the gift card price will affect the mean and median of the items he purchased
A) Both the mean and median will increase.
B) Only the mean of the prices will increase
Only the median of the prices will increase
D) The mean will increase by more than the median
D) Neither the mean nor median of the prices will increase
The conclusion on the mean and median after the gift card is added is:
C: Only the median of the prices will increase
How to find the mean and median of the distribution?The mean (average) of a data set is gotten by adding all numbers in the data set and then dividing by the number of values in the set. The median is the middle value when a data set is ordered from least to greatest.
The mean of the dataset is:
Mean = (1.29 + 1.92 + 3.19 + 1.79 + 3.99 + 479 + 55.19 + 5.29 + 5.49)/9
Mean = $61.91
If he added a $40 gift card, then:
New mean = (1.29 + 1.92 + 3.19 + 1.79 + 3.99 + 479 + 55.19 + 5.29 + 5.49 + 40)/10 = $59.715
Initial median:
1.29, 1.79, 1.92, 3.19, 3.99, 5.29, 5.49, 55.19, 479
Initial median = 3.99
Final median after the gift card of $40:
1.29, 1.79, 1.92, 3.19, 3.99, 5.29, 5.49, 40, 55.19, 479
Final median = (3.99 + 5.29)/2 = $4.64
Thus, only median will increase
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Proportional relationship
Answer:
A
Step-by-step explanation:
the average weight of 19 year old women in america is 148.6 pounds with a standard deviation of 23.9 pounds. what is the minimum percentage of 19 year old women who weigh between 96.0 and 201.2 pounds? what is the maximum percentage of women who weigh more than 201.2 pounds?
the maximum percentage of women who weigh more than 201.2 pounds is 1.39%.
To find the minimum percentage of 19 year old women who weigh between 96.0 and 201.2 pounds, we need to standardize the values using the formula:
z = (x - μ) / σ
where:
x = weight value
μ = mean weight
σ = standard deviation
For x = 96.0 pounds:
z = (96.0 - 148.6) / 23.9
z = -2.21
For x = 201.2 pounds:
z = (201.2 - 148.6) / 23.9
z = 2.21
We can use a standard normal distribution table or calculator to find the area between -2.21 and 2.21. The area is approximately 0.9545 or 95.45%.
Therefore, the minimum percentage of 19 year old women who weigh between 96.0 and 201.2 pounds is 95.45%.
To find the maximum percentage of women who weigh more than 201.2 pounds, we need to standardize the value of 201.2 pounds using the same formula:
z = (x - μ) / σ
z = (201.2 - 148.6) / 23.9
z = 2.21
We can use a standard normal distribution table or calculator to find the area to the right of 2.21. The area is approximately 0.0139 or 1.39%.
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how would you solve this equation?
Answer:
19,188
Step-by-step explanation:
hope this helps ;)