Answer:
A)25
B) 14
Step-by-step explanation:
A) a/5 + 3 = 8
a/5 = 8 - 3
a = 5 x 5
a = 25
B) 3b/7 -1 =5
3b/7 = 5+1
3b = 6 x 7
b = 42/3
b = 14
how many grams each of a 10% salt solution and a 5% salt solution must be mixed in order to obtain 400g of an 8% solution?
I dont want to give you the exact equation so u wont be copying- here is an example.
let x=grams of salt that you already have
let y=grams of salt that need to be added
let z=total amount of salt in the solution after adding salt
We know that salt makes up 25% of the 400g solution, and that 25% can also be written as .25. Thus, we can write an equation to determine x's value:
x=.25*400g
x=100g
Therefore, there are 100 grams of salt already in the solution.
Now that we've determined x's value, we'll bring z into the equation. There are two ways to calculate z. z is equivalent to the sum of x and y. Remember, x is equal to 100 grams. So, z's equation is as follows:
z=100g+y
The other way to calculate z is as a percentage of the final solution. As the question states, we want the final solution to have a salt content of 40% (which we can write as .40). The final amount of solution can be written as below:
400g+y=total amount of solution after adding salt.
This is because we are adding y (the amount of salt needed to bring the salt content to 40 percent)to the amount of solution which we already have.
Therefore, the second way to express z is below:
z=.40*(400g+y)
After we have two equations for z, we can set them equal to each other as follows:
100g+y=.40*(400g+y)
We then can distribute the .40 over the parenthesis.
100g+y=160g+.40y
And then we can subtract 100 grams from both sides of the equation.
y=60g+.40y
Next, we subtract .40 y from both sides of the equation to get y on one side.
.6y=60g
Finally, we can divide both sides by .6 to isolate y.
y=100g
Therefore, you must add 100g of salt to the solution to make it 40 percent salt.
DID I DO IT RIGHTT?? pls tell me
Zero is___ a divisor always sometimes never
Answer:
sometimes
Step-by-step explanation:
You can never divide a non-zero number, such as 3 or 7, by zero. However, you can divide zero by zero, so the answer is sometimes.
Hope this helped! :)
Answer:
sometimes
Step-by-step explanation:
Which are ways to decompose the composite figure into simpler shapes that you have area formulas for? Check all that apply.
Answer:
1st and second, unless you have already learned area of trapezoids. If you have, add third
Step-by-step explanation:
Answer: this is ez its
first
second
third
Step-by-step explanation:
A scale drawing is shown for clubhouse. The measurements are 4“ x 8“ what will the actual clubhouse measurements be if the scale factor is 1 inch equals 2 feet
Answer:
8ft. x 16ft.
Step-by-step explanation:
If each inch is scaled to 2 ft, then you simply multiply the values by two. The new scaled dimensions would be 8 x 16 ft. Hope this helps.
The two-way table of column relative frequencies below shows data on whether or not a person has internet access and their preferred method to communicate with friends.
Based on the data, which of the following statements must be true?
(Choice A)
A person who prefers to communicate with friends in person is more likely to have no internet access than to have internet access.
(Choice B)
A person with internet access is more likely than a person without internet access to prefer the wired telephone to communicate with their friends.
(Choice C)
A person with internet access is more likely than a person without internet access to prefer text messaging to communicate with their friends.
(Choice D)
More people without internet access prefer using social networking than people with internet access.
Answer: c
Step-by-step explanation: 54% of people with internet access prefer text messaging, while only 31% of people without internet access prefer text messaging.
Based on the data, Option (c) statements must be true. "A person with internet access is more likely than a person without internet access to prefer text messaging to communicate with their friends."
What is internet speed?It is Mbps or kbps of data packets that can be transferred within a specified time.
Because 54% of the people who have internet access uses the text messaging method While 31 % people with no internet access uses the text messaging method.Thus A person with internet access is more likely than a person without internet access to prefer text messaging to communicate with their friends.Learn more about internet speed,
https://brainly.com/question/13308791
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The ratio of the leg opposite to an angle to the hypotenuse of a right triangle is
called the ____ of the angle.
A. sine
B. secant
C. cosine
D. cosecant
Answer:
cosine I think
Step-by-step explanation:
The ratio of the perpendicular and the hypotenuse is given by the sine of the angle. Then the correct option is A.
What is trigonometry?Trigonometry deals with the relationship between the sides and angles of a right-angle triangle.
The ratio of the leg opposite to an angle to the hypotenuse of a right triangle is called the sine of the angle.
The sine is given as the side opposite to the angle is known as perpendicular.
The ratio of the perpendicular and the hypotenuse is given by the sine of the angle.
More about the trigonometry link is given below.
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-16 = 5 + 3x what is the constant and coefficient
Answer: help me with my questions
Step-by-step explanation:
Click on my profile answer my question and get branliest
Answer:
The constant is 5 and the coefficient is 3.
Step-by-step explanation:
The constant is something that does not change, which would be 5 because it stays 5 no matter what.
The coefficient is the number before the variable, which would be 3 because it changes depending on the x value.
I hope this helps! :)
A bicycle shop is selling $500.00 bikes. If the sales tax is 7%, what will the final cost of the bike be?
Answer:
The final cost of bike = $535.00Step-by-step explanation:
Cost of bikes = $500.00
If the sales tax is 7%, the amount paid as tax will be 7% of the total selling price of bike;
7% of $500.00
= [tex]\frac{7}{100} * 500\\[/tex]
= $35
The final cost of bike = initial selling price + amount paid as tax
The final cost of bike = $500.00 + $35.00
The final cost of bike = $535.00
Determine the vertex of the function f(x) = 3x2 – 6x + 13.
1. Identify the values of a and b.
a =
and b =
2. Find the x-coordinate of the vertex.
negative StartFraction b Over 2 a EndFraction =
3. Find the y-coordinate by evaluating the function at the x-value found in the previous step.
The vertex is
.
Answer:
1.)
A=3
B=-6
2.)
1
3.)
(1,10)
Answer:
1. Identify the values of a and b.
a =
✔ 3
and b =
✔ –6
2. Find the x-coordinate of the vertex.
negative StartFraction b Over 2 a EndFraction =
✔ 1
3. Find the y-coordinate by evaluating the function at the x-value found in the previous step.
The vertex is
✔ (1, 10)
Which of the following are whole numbers ?
Answer:
-1 and 3 should be right
Answer:
3
Step-by-step explanation:
Whole numbers are non-negative integers
A whole number can be 0 or positive with decimal/fraction part
plz help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
The scores for the Algebra 2 CFE are normally distributed with a mean score of 43 and
a standard deviation of 3.8. If you scored 47 on the test, what percentage of test takers
scored lower than you? Do not round your answer. [percent]
Answer:
85.375%
Step-by-step explanation:
We would be using the z-score formula which is
z = (x-μ)/σ, where
x is the raw score,
μ is the population mean, and
σ is the population standard deviation.
In the question, we are given:
x is the raw score = 47
μ is the population mean = Mean score = 43
σ is the population standard deviation = 3.8
z = (x-μ)/σ
z = (47- 43)/ 3.8
z = 4/3.8
z = 1.0526315789
The z score = 1.0526315789
Checking my z score on my normal distribution table,
The percentage of test takers that scored lower than you =
[1 - P(x>Z)] × 100
= ( 1 - 0.14625) × 100
= 0.85375 × 100
= 85.375%
Therefore, the percentage of test takers that scored lower than you is 85.375%
Hi there! I need some help with this question, thx!
In the table, Pattern A uses the rule "add 5" and Pattern B uses the rule "add 15."
Pattern A is 0, 5, 10, 15, 20
Pattern B is 0, 15, 30, 45, 60
Which statement is true?
A. Every term in Pattern B is 3 times the corresponding term in Pattern A.
B. Every term in Pattern B is 10 more than the corresponding term in Pattern A.
C. Every term in Pattern B is 5 times the corresponding term in Pattern A.
D. Every term in Pattern B is 13 the corresponding term in Pattern A.
Answer:
sky im going with A
Step-by-step explanation:
find the degree of the monomial x^2 z^3
Answer:
5
Step-by-step explanation:
Degree of monomial = 2 + 3 = 5
what’s the answer for this question
Answer:
What is the perimeter? 89 cm
Step-by-step explanation:
(35.2 + 11.9) + (35.2 + 12.7)
= 47.1 + 47.9
= 89 cm
Need help ASAP. WILL MARK BRAINLIEST.
Answer:
2, 18, 56.52, It will double as well.
Step-by-step explanation:
First, multiply the radius by 9 to get the diameter, 18 inches. Then, multiply the diameter by 3.14(an approximation for pi) to get a circumference of about 56.52 inches.
If the diameter is doubled what happens to the circumference? Explain.
It will double because its like a second layer is added on, and 56.52 x 2 = 113.04, which would be the doubled circumference.
Hope this helps! :)
At the end of a snow storm, Caroline saw there was a lot of snow on her front lawn. The temperature increased and the snow began to melt at a steady rate. The depth of snow on Caroline's lawn, in inches, can be modeled by the function S(t)=-0.75t+15,S(t)=−0.75t+15, where tt is the time, in hours, after the snow stopped falling. What is the slope of the function and what is its interpretation in the context of the problem?
Answer:
-15
Step-by-step explanation:
Find the volume of the prism.
36 m
3 m
5 m
Answer:=40m
Step-by-step explanation: 36m+3m+5m
Answer:
540m
Step-by-step explanation:
solve |-4|/|-4| please help
Answer:
i think the answer is 1 dont take my word for it though
Step-by-step explanation:
Answer:
1
Step-by-step explanation:
The absolute value of -4 is 4, therefore |-4|/|-4| = 4/4 = 1
2x-y<5
[tex]2x - y \leqslant 5[/tex]
Answer:
Step-by-step explanation:
Please be sure to include the directions when you post a question. I will assume you want to graph this inequality 2x - y ≤ 5.
2x - y = 5 is a linear function whose graph is that of a straight line. Because of the ≤ sign, the solution set includes all points on this straight line PLUS all points below it.
x - intercept: Set y = 0 in 2x - y = 5 and solve the resulting equation for x:
2x - 0 = 5. Then x = 5/2, and the x-intercept is (5/2, 0).
y-intercept: Set x = 0 and solve for y: 2(0) - y = 5: y = -5. Then the y-intercept is (0, -5).
Plot both points (5/2, 0) and (0, -5). Draw a solid line through them. Shade the area BELOW this line.
One of the solutions of the system of equations shown in the graph has an x-value of -4. What is its corresponding integer y-value?
-1
-3
0
3
Answer:
The 1st intersection P(x, y) has x = -4 and y = -3 (as shown in graph).
Option B = -3 is correct.
Hope this helps!
:)
The y intercept value is option (B) -3
What is x intercept and y intercept?The x-intercept is where a line crosses the x-axis, and the y-intercept is the point where the line crosses the y-axis
Given
x intercept value = -4
From the graph we can say that y intercept value = -3
The y-intercept is the point where the line crosses the y-axis that is -3
Hence, the y intercept value is option (B) -3
Learn more about x intercept and y intercept here
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Find the midpoint of the segment with the following endpoints. (6,8) and (10,4)
Answer:
(8.6)
Step-by-step explanation:
To find the x coordinate of the midpoint, find the average of the x coordinates
(x1+x2)/2 = (6+10)/2 = 16/2 = 8
To find the y coordinate of the midpoint, find the average of the y coordinates
(y1+y2)/2 = (8+4)/2 = 12/2 = 6
Answer:
(8,6)
Well my explanation might be weird...so I won't explain it but I'm pretty sure I got the correct answer:>
Need question help here!
Answer:
C
Step-by-step explanation:
Using laws of Sines. Find the measurement indicated. Round your answers to the nearest tenth.
Answer:
see below
Step-by-step explanation:
8.
We have to use the law of cosines to find AB
c^2 = a^2 + b^2 − 2ab cos(C)
AB^2 = 14^2 + 24^2 - 2 * 14 *24 cos(91)
AB^2 =196 +576 - 672 cos(91)
AB^2 =783.7280171
Taking the square root of each side
AB =27.99514
Rounding to the nearest tenth
AB = 28
(If the lengths are supposed to have the variable A)
AB = 28A
9.
Using the law of sines
sin 84 sin A
-------------- = -------------
22 9
Using cross products
9 sin 84 = 22 sin A
Divide each side by 22
9 sin 84 /22 = sin A
.406849866 = sin A
Taking the inverse sin of each side
24.00710132 = A
To the nearest tenth
A = 24
Answer:
AB = 28 ft; m<A = 24 deg
Step-by-step explanation:
8.
Since you are not given an angle and its opposite side, you cannot start with the law of sines. You must use the law of cosines.
[tex] c^2 = a^2 + b^2 - 2ab \cos C [/tex]
[tex] c^2 = (14~ft)^2 + (24~ft)^2 - 2(14~ft)(24~ft) \cos 91^\circ [/tex]
[tex] c^2 = 196~ft^2 + 576~ft^2 - 672~ft^2(-0.01745) [/tex]
[tex] c = \sqrt{783.73~ft^2} [/tex]
[tex] c = 27.995~ft [/tex]
AB = c = 28 ft
9.
[tex] \dfrac{\sin A}{a} = \dfrac{\sin B}{b} = \dfrac{\sin C}{c} [/tex]
[tex] \dfrac{\sin A}{a} = \dfrac{\sin B}{b} [/tex]
[tex] \dfrac{\sin A}{9~km} = \dfrac{\sin 84^\circ}{22~km} [/tex]
[tex] \sin A = \dfrac{9~km~\sin 84^\circ}{22~km} [/tex]
[tex] \sin A = 0.40685 [/tex]
[tex] A = \sin^{-1} 0.40685 [/tex]
[tex] A = 24^\circ [/tex]
I need help plz help me
Answer: 2538
Step-by-step explanation:
12*21/2
126
126/1*41/2
2538
Answer:
l*b*h=2583m²
Step-by-step explanation:
note no need units, so no need metre square or m²
Please help!!!!!!!
Anyone help!
x=7
Step-by-step explanation:
median is the middle no.=6 and x
it will be 6+x=13
take 6 to the other side=7, hence x=7
Jims fish bowl contains x tetras, 3 goldfish, and 5 platies. He removes one fish from the fish bowl at random. If the probability of removing a gold fish from the bowl is 1 out of 3 , how many tetras does jim have.
Answer: x = 1
Step-by-step explanation:
we have
x tetras
3 goldfish
5 platies.
the total number of fishh in the bowl is x + 3 + 5
The probability of removing a gold fish is equal to the number of gold fish divided by the total number of fish, this is:
p = 3/(x + 3 + 5) = 1/3
3 = (1/3)(x + 3 + 5) = x/3 + 1 + 5/3
9 = x + 3 + 5
x = 9 - 8 = 1
then wemust have that x = 1
because 1 + 3 + 5 = 9
and 3/9 = 1/3
For his hiking club, Ricardo is making a container of trail mix with 3.5 kilograms of nuts. He has 1.78 kilograms of almonds. The rest of the nuts will be cashews. How many kilograms of cashews does he need? Use estimation to check your answer for reasonableness.
Answer: 1.72 kilograms
Step-by-step explanation:
From the question, Ricardo is making a container of trail mix with 3.5 kilograms of nuts and he has 1.78 kilograms of almonds while the remaining of the nuts will be cashews.
To get the kilograms of cashews nuts that are needed, we subtract the kilograms of almonds from the total container. This will be:
= 3.5 kg - 1.78 kg
= 1. 72 kg
Anne wants to create a data display to summarize prices of the 264 homes for sale in her
area. A sample of the data is shown below.
$72,000, $129,500, $132,000, $149,400, $152,000, $183,500, $225,000, $289,000, $348,000
She wants the display to show how many homes are available for homebuyers with various
budgets. Which data display is best for Anne's purpose?
a histogram, because the minimum and maximum values are clearly displayed
a box plot, because the median is clearly displayed
a box plot, because the data are divided into four ranges of values
a histogram, because the bars show the frequency of data points within different ranges
Answer:
The correct option is (D).
Step-by-step explanation:
The boxplot is a consistent way to exhibit the data-distribution based on, minimum, first quartile, median, third quartile and maximum.
Therefore we can say it provides information about the location of the center, dispersion and skewness (measure of asymmetry) of the data.
The methods commonly used for depicting a frequency distribution are:
Histogram/Column graph Bar graph Frequency Polygon Pie chartOut of these, one of the most general and extensively used devices of illustrating a frequency distribution is the histogram.
In this case it is provided that Anne wants the display of prizes to show how many homes are available for home buyers with various budgets.
So, Anne can set range of budget values and assign the number of buyers with various budgets.
From the provided data the range of budget values can be set as:
Less than $50,000
$50,000 - $100,000
$100,000 - $150,000
$150,000 - $200,000
$200,000 - $250,000
$250,000 - $300,000
$300,000 - $350,000
Thus, the histogram data display is best for Anne's purpose.
The correct option is (D).
This question is based on the concept of statistics. Therefore, the histogram data display is best for Anne's purpose. Hence, the correct option is D, histogram.
Given:
Anne wants to create a data display to summarize prices of the 264 homes for sale in her area. A sample of the data is shown below.
$72,000, $129,500, $132,000, $149,400, $152,000, $183,500, $225,000, $289,000, $348,000.
According to the question,
As we know that, the boxplot is consistent way to exhibit the data distribution based on the minimum, first quartile, median, third quartile and maximum.
Therefore, it provides information about the location of the center, dispersion and skewness (measure of asymmetry) of the data.
The following methods commonly used for depicting a frequency distribution are:
Histogram/Column graph Bar graph Frequency Polygon Pie chartOut of these, one of the most extensively used devices of illustrating a frequency distribution is the histogram.
In this question it is provided that, Anne wants the display of prizes to show how many homes are available for home buyers with various budgets.
Thus, Anne can set range of budget values and assign the number of buyers with various budgets.
From the given data the range of budget values can be written as:
Less than $50,000
$50,000 - $100,000
$100,000 - $150,000
$150,000 - $200,000
$200,000 - $250,000
$250,000 - $300,000
$300,000 - $350,000
Therefore, the data display is best for Anne's purpose. Hence the correct option is D, histogram.
For more details, prefer this link:
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6) Troy has a garden that is 17 feet by 14 feet. He is planning on planting some
bulbs in the garden. Each bulb requires 2 square feet of space. How many bulbs
can Troy plant in the garden? *
119
Answer:
140
Step-by-step explanation:
first multiply 17 by 14 to get 238 then dived 238 by 2 to get 140
