According to the diagram, what is the value of x?
3/7
-3/7
-1
1
The value of x is -1. Alternative d.
Building an equation.Observing the key legend and the weights on the scale, an equation can be constructed that represents each of the dishes and their weights:
Two white cylinders + three gray marbles equals five white cylinders, so we get the equation
[tex]\large\text{$\sf 2x-3=5x$}[/tex]
Note: -3 value is due to 2x+(-1-1-1) => 2x+(-3) => 2x-3
Calculating x[tex]\begin{array}{l}\sf 2x-3=5x\\\sf 2x-5x=3\\\sf -3x=3\\\raisebox{8pt}{$\sf x=\dfrac{3}{-3}$}\\\bf x=- 1\end{array}[/tex]
And so, the value of x was found and is equal to -1
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Write the formula of the area of the rectangle.
Grade#8
Answer:
A=a*b
Step-by-step explanation:
if we assume sides of rectangle are a and b,
then area of rectangle is A=a*b
Add the algebraic expressions.
a. -6p²+8q² - 2pq- 5 and 2p² -3q² -2pq+3
b. 5x+6y and -8x -3y
Grade8
Answer:
a= -4p^2 - 4pq + 5q^2 - 2
b= -3x + 3y
Step-by-step explanation:
Help pls explain due at 7:45
A class of 25 students is trying to find the mean weight of the students in the class. If the sum of all the students' weights is 2,946 pounds, what is the mean weight rounded to the nearest pound?
110 pounds
125 pounds
118 pounds
117 pounds
Answer:
118
Step-by-step explanation:
2946 pounds ÷ 25 students = 117.84 - rounded= 118
Answer:
118Pounds
Step-by-step explanation:
Mean is the average of a set of data
Mean is Total Weight divided by the number of students = 2946/25
Ans 117.84
Round up to 118
If angle 5 is 48°, what is the measure of angle 7? How do you know?
Step-by-step explanation:
angle 7 is also 48° because opposite angles are equal
A model igloo has a scale of 1in: 2ft. If the model igloo is 7in wide then how wide is the real igloo???
Answer:
14ft
Step-by-step explanation:
since the ratio is X(the number of inches) times 2, then change it to feet, (in-ft) 7*2 is 14, so the igloo is 14 feet long.
Answer:
14ft
Step-by-step explanation:
since the ratio is X(the number of inches) times 2, then change it to feet, (in-ft) 7*2 is 14, so the igloo is 14 feet long.
someone, please help me. I need this done by today. Also, if you do do it, can you write part a and then part B
Answer:
Step-by-step explanation:
Part A: step 1 is correct, step 2 is wrong. Right side of the equation should be 12 - 21 = -9
Part B:
-14x + 21 = 30x + 12
-14x - 30x = 12 - 21
-44x = -9
x = -9/-44 = 9/44
Which statements are true for the following expression?
5x + 3y + 10
Check all that are true.
The solution is the sum of three terms.
The solution is the quotient of a sum of two terms and another term.
The coefficients are 5 and 3.
The solution is the difference between two terms.
The variables are x and y.
Answer:
The coefficients are 5 and 3
The variables are x and y
Step-by-step explanation:
Coefficients are always the one with the variable. The variables are letters in the expression.
a square pyramid and a cube have the same total surface area. The length of each side of the base of the square pyramid is 12 meters. The width of the cube is 6 meters. What is the lateral height of the square pyramid?
Please help me with this question
Daksha would like to save at least $500 in 12 months. What is the minimum amount she must save each month in order to save at least $500?
Answer:
$41.67
Step-by-step explanation:
To save at least $500 in 12 months, Daksha must save an average of at least $500/12 = $41.67 per month.
To find the minimum amount she must save each month, we can assume she saves a constant amount each month, and solve for that amount.
Let x be the amount she saves each month. Then over 12 months, she will have saved 12x dollars. To meet her goal of saving at least $500, we need:
12x ≥ 500
Solving for x, we get:
x ≥ 500/12
x ≥ 41.67
Therefore, Daksha must save at least $41.67 each month to save at least $500 in 12 months.
1/5 divided by 3 pls help need it quick!
Answer:
[tex] \frac{1}{15} [/tex]
Step-by-step explanation:
[tex] \frac{1}{5} \div 3 = \frac{1}{5} \div \frac{3}{1} = \frac{1}{5} \times \frac{1}{3} = \frac{1}{15} [/tex]
Answer:
1/15
Step-by-step explanation:
Find the missing side of a right triangle if
a. area = 46cm 2 , base = 23cm
b. area = 120cm 2 , base = 40cm
c. area =12m 2 , base = 20m
Grade#8
Answer:
a. The area of a triangle is given by the formula A = (1/2)bh, where b is the base and h is the height. We know that A = 46cm^2 and b = 23cm. Substituting these values into the formula, we get:
46cm^2 = (1/2)(23cm)(h)
Simplifying, we get:
46cm^2 = 11.5cm*h
Dividing both sides by 11.5cm, we get:
h = 4cm
Therefore, the missing side of the right triangle is 4cm.
b. Using the same formula, we can find the height of the triangle:
120cm^2 = (1/2)(40cm)(h)
Simplifying, we get:
120cm^2 = 20cm*h
Dividing both sides by 20cm, we get:
h = 6cm
Therefore, the missing side of the right triangle is 6cm.
c. Again, using the same formula, we can find the height of the triangle:
12m^2 = (1/2)(20m)(h)
Simplifying, we get:
12m^2 = 10m*h
Dividing both sides by 10m, we get:
h = 1.2m
Therefore, the missing side of the right triangle is 1.2m.
HURRY!
The three vehicles shown below are driving down the street at a constant velocity of 5 m/s. The blue car has a mass of 700 kg. The red car has a mass of 1800 kg. The silver pickup truck has a mass of 3500 kg. Annie-Drew wants to make a line graph showing the relationship between the kinetic energy and mass of the cars traveling at a constant velocity. What would the graph look like?
Answer:
Step-by-step explanation:
As the change in speed of both cars is zero therefore tangential acceleration of both cars will be zero .
now centripetal acceleration is given by
a=v2/r
where, r= radius and v= linear velocity ,
for blue car ab=302/r
for grey van ag =152/r
radius is same for both as they round the same turn ,
So, ab /ag = 30 2/15
2 =4 or a
b =4a/g
milk seller had 23.45 L. milk. He added 3.625 L water to it. How much was the quantity of the resultant mixture?
Answer:
27.075L
Step-by-step explanation:
final quantity the milk seller had = milk before adding Water + water added
23.45 + 3.625
27.075L
Answer:
Step-by-step explanation: given: quantity of milk=23.45
quantity of water=3.625
(he added 3.625 L water in the 23.45L milk)
quantity of milk+quantity of water
23.45+3.625
=27.075L
therefore, quantity of resultant mixture is 27.075 Liter
PLEASE HELP!!! Read part A and B written out and explained for the quiz not just the answer!!
i need help with a lot of stuff sooo
Answer:
70
Step-by-step explanation:
3m + 3m + 12m + 3m + 3m + 14m + 18m + 14m
The reason I added 18m in there is because the bottom line is 18m. If the top line is 12m, then you add 3m on each side, making it 18m.
Have a nice day and please mark brainliest!
A swimming pool in the shape of a rectangular prism has dimensions of 17.5 feet by 13 feet by 6 feet. What is the maximum amount of water that the pool can hold?
1,365 ft3
821ft3
682.5 ft3
410.5 ft3
PLS HELP ASAP
Answer:
1365ft3
Step-by-step explanation:
volume of rectangle = lbh
17.5 x 13 x 6 = 1365ft3
i really need help its is passed my bed time please its already 9;22 my report card comes in tm
least to greatest -1, -1/2, -1/4, 1/8, 3/4
Answer:-1, -1/2, -1/4, 1/8, 3/4
Step-by-step explanation:
Answer: -1, -1/2, -1/4, 1/8, 3/4 (This answer is already correct)
How many solutions does the system of linear equations represented in the graph have?
Coordinate plane with one line that passes through the points 0 comma 2 and 3 comma 3 and another line that passes through the points 0 comma negative 1 and 3 comma 0.
Infinitely many solutions
No solution
One solution at (−1, 0)
One solution at (0, −1)
The number of solutions which the system of linear equations represented in the graph have is: B. No solution.
How to determine an equation of this line?In Mathematics and Geometry, the point-slope form of a straight line can be calculated by using the following mathematical equation (formula):
y - y₁ = m(x - x₁)
Where:
x and y represent the data points.m represent the slope.First of all, we would find the slope of this lines;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (3 - 2)/(3 - 0)
Slope (m) = 1/3
At data point (0, 2) and a slope of 1/3, a linear equation for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y = x/3 + 2
At data point (0, -1) and a slope of 1/3, a linear equation for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y = x/3 - 1
Read more on point-slope here: brainly.com/question/24907633
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Find 7/12 of 36.
Pls help! Will mark brainly!
Answer:
21
Step-by-step explanation:
You probably know that the number above the fraction line is called the numerator and the number below it is called the denominator. To work out the fraction of any number, we first need to convert that whole number into a fraction as well.
Here's a little tip for you. Any number can be converted to a fraction if you use 1 as the denominator:
36/1
So now that we've converted 36 into a fraction, to work out the answer, we put the fraction 7/12 side by side with our new fraction, 36/1 so that we can multiply those two fractions.
That's right, all you need to do is convert the whole number to a fraction and then multiply the numerators and denominators. Let's take a look:
7/12 x 36/1 = 252/12
In this case, our new fraction can actually be simplified down further. To do that, we need to find the greatest common factor of both numbers.
You can use our handy GCF calculator to work this out yourself if you want to. We already did that, and the GCF of 252 and 12 is 12.
We can now divide both the new numerator and the denominator by 12 to simplify this fraction down to its lowest terms.
252/12 = 21
12/12 = 1
When we put that together, we can see that our complete answer is:
21/1
The complete and simplified answer to the question what is 7/12 of 36 is:
21
Please Help Me!!!!!!!
Answer:
True.
Hope this helps!
Step-by-step explanation:
A triangle that isn't a right triangle can't use [tex]a^{2} +b^{2} =c^{2}[/tex] ( the Pythagorean Theorem ).
can you solve for pi
Answer:
No
Step-by-step explanation:
Pi (π) is a mathematical constant representing the ratio of a circle's circumference to its diameter. It is an irrational number, which means it cannot be expressed as a finite decimal or a fraction. Therefore, it is not possible to solve for pi in the traditional sense.
However, pi can be approximated to a certain number of decimal places using various mathematical methods, such as the Monte Carlo method or numerical integration. The commonly used approximation for pi is 3.14159265358979323846, but the actual value of pi has an infinite number of decimal places and cannot be fully calculated.
Answer:
You can't
Step-by-step explanation:
Pi is already a constant rate if that is what you want to call it. pi is 3.14159265359
here is a differnt lesson
Answer: For rectangle its -27 For bottom blank its 12v-27
Step-by-step explanation:
4vx3=12
9x3=27
Alex has five cups of strawberries. He wants to use / cups of strawberries for a fruit salad and / cups for jam. Does Alex have enough strawberries to make both recipes? Solve this problem any way you choose.
Answer:
Since Alex only has 5 cups of strawberries, he does not have enough to make both recipes.
Step-by-step explanation:
1 3/4 cups of strawberries + 3 1/2 cups of strawberries= 5 1/4 cups of strawberries. Alex needs more strawberries.
Answer:
No.
Step-by-step explanation:
To solve the Yes/No question,
First, write the equation:
5 = [tex]1\frac{3}{4}[/tex] + [tex]3\frac{1}{2}[/tex]
Then convert the mixed fraction to improper ones:
5 = [tex]\frac{7}{4}[/tex] + [tex]\frac{7}{2}[/tex]
Then find the LCM of the denominators 4 & 2 ( = 4 ) and solve:
5 = [tex]\frac{7}{4}[/tex] + [tex]\frac{14}{4}[/tex]
5 = [tex]\frac{7+14}{4}[/tex]
5 = [tex]\frac{21}{4}[/tex]
5 = 5.25
5 < 5.25
So because 5.25 is greater than 5, he doesn't have enough strawberries to make the recipes.
The graph represents a relation where x represents the independent variable and y represents the dependent variable. a coordinate plane with points at negative 5 comma 1, negative 3 comma 0, 0 comma negative 3, 2 comma 3, 5 comma negative 1, and 5 comma 1 Is the relation a function? Explain. No, because for each output there is not exactly one input No, because for each input there is not exactly one output Yes, because for each output there is exactly one input Yes, because for each input there is exactly one output
Answer:
To determine whether the relation is a function or not, we need to check if each input value (x) is associated with exactly one output value (y).
Looking at the given set of points (-5, 1), (-3, 0), (0, -3), (2, 3), (5, -1), and (5, 1), we can see that some of the input values are associated with more than one output value. Specifically, the input value of 5 is associated with two different output values: -1 and 1.
Therefore, the relation is not a function because there is not exactly one output value for each input value.
The correct answer is: No, because for each input there is not exactly one output.
Answer:
Step-by-step explanation:
Answer:
To determine whether the relation is a function or not, we need to check if each input value (x) is associated with exactly one output value (y).
Looking at the given set of points (-5, 1), (-3, 0), (0, -3), (2, 3), (5, -1), and (5, 1), we can see that some of the input values are associated with more than one output value. Specifically, the input value of 5 is associated with two different output values: -1 and 1.
Therefore, the relation is not a function because there is not exactly one output value for each input value.
The correct answer is: No, because for each input there is not exactly one output.
Please help me
Find the value of x
Answer:
The x is the answer to (11 - 12)
Step-by-step explanation:
Because i have done this problem before as well.
Answer: x = 6
Step-by-step explanation:
Add up the angles and subtract from 180 degrees. Then find the solution to the equation.
A cell phone company is offering 2 different monthly plans. Each plan charges a monthly fee pulls an additional cost per gigabyte of data used.
Plan A: $50 fee plus $7.50 per gigabyte of data
Plan B: $60 fee plus $5.00 per gigabyte of data
Which plan would be the least expensive for someone who uses 6 gigabytes of data?
A vine, which was 2 feet high, grew 18% over two weeks. How high was the vine after two weeks?
Answer:
4ft high
Step-by-step explanation:
A town is designing a rectangular park that will be 600 feet wide by 1000 feet long. On a scale drawing, the dimensions of the park are 12 inches wide by 20 inches long. A rectangular area of the park for swing sets is 0.5 inch wide by 2 inches long on the scale drawing.
What is the actual length of the swing set area of the park?
Enter your answer in the box.
The actual length of the swing set area of the park is ______ feet.
Answer: The actual length of the swing set area of the park is 25 ft long and 100 ft wide.
For a particular scale drawing, it is already specified that all the measurements' some constant scaled version will be taken. For example, let the scale be K feet to s inches.
Then it means
All feet measurements will then be multiplied by s/k to get the drawing's corresponding lengths.
For the given case, it is given that Real dimension of a rectangular park: 600 ft by 1000 ft In drawing, it was of 12 inches by 20 inches. Let the scale that the drawing is using be k feet to s inches, then.
Since it is given that 600 ft: 12 inches and 1000 ft: 20 inches, thus, we get: Thus, every foot is reduced 0.02 times in drawing.
Now, it is given that in drawing, the rectangular area for swing sets is 0.5 inch to 2 inch. Let its real length was L and real width was W. Then we have:
Since these are only magnitudes, and unit was converted from feet to inches, so we have L = 25 feet and W = 100 feet
Thus, the actual length of the swing set area of the park is 25 ft long and 100 ft wide
Answer:
The dimensions of the park on the scale drawing is 12 inches and 20 inches.
Dimension
Actual dimensions:
Park = 600 feet by 1000 feet
Swing set = 25 feet by 100 feet
Swing set on the scale drawing= 0.5 inch by 2 inches
Hence:
Dimension of park on drawing:
Width = 600×1/50
Width = 12inches
Length = 1000×1/50
Length= 20inches
Inconclusion the dimensions of the park on the scale drawing is 12 inches and 20 inches.
2 Sasha believes her soccer team plays better at away games than at home games. Her team played 12 games at home and 12 games away. She recorded the wins over this season. Based on these results, what is the probability for home and away wins? Is she right about her team playing better away? Show your work. Place: Home Away
Step-by-step explanation:
To calculate the probability of home and away wins, we need to know how many wins the team had at home and away, respectively.
Let's assume that the team won x games at home and y games away, where x and y are unknown variables. Then we know that:
x + y = total number of wins (which we'll denote as W)
x + (12 - y) = 12 (the number of home games)
(12 - x) + y = 12 (the number of away games)
Solving these equations for x and y, we get:
x = (W + 12) / 2 - 12
y = (W + 12) / 2 - 12
Now, let's say the team won 8 games in total. Then, using the equations above, we can calculate that:
x = 2 (i.e., they won 2 games at home)
y = 6 (i.e., they won 6 games away)
Therefore, the probability of a home win is 2/12 = 1/6, and the probability of an away win is 6/12 = 1/2.
Based on these calculations, Sasha is correct in her belief that the team plays better away. The probability of an away win is higher than the probability of a home win.