Devaughn is 8 years younger than Sydney. The sum of their ages is 70. What is Sydney's age?
Answers
Answer:
Sydney 39 yrs old
Step-by-step explanation:
S=x
D=x-8
x-8+x=70
2x=78
x=39
Related Questions
2x + 5y = 3
x + 2y = -1
Answers
Answer:
just use the elimination method lol
Step-by-step explanation:
Make 500$ !!!!
9th grade homework comment if your down
Answers
Answer:
What? im totally confused
Step-by-step explanation:
Answer:
Im comfusesd to
Step-by-step explanation:
Sugar and flour are mixed in ratio 2:3. How much sugar is used with 600g of flour?
4) A student draws a plan of her classroom. She uses 2 centimetres to represent 5 meters. Write this scale as a ratio in its simplest form
Answers
Explanation:
2/3 = x/600
x = (600 x 2)/3
x = 1200/3
x = 400
So there is 400g of sugar.
4). 1 meter = 100cm
5m = 500cm
Ratio:
2/500 = 1/250
So the simplest form of the scale ratio is 1/250.
By using graphical method, find optimal solution of the problem max z = 3x + y s.t 2x - y ≤ 5 -x + 3y ≤ 6 x ≥ 0, y ≥ 0
Answers
By analyzing the graph and evaluating the objective function at each vertex of the feasible region, we can find the optimal solution, which is the vertex that maximizes the objective function z = 3x + y.
To find the optimal solution of the given problem using the graphical method, we need to plot the feasible region determined by the given constraints and then identify the point within that region that maximizes the objective function.
Let's start by graphing the constraints:
1. Plot the line 2x - y = 5. To do this, find two points on the line by setting x = 0 and solving for y, and setting y = 0 and solving for x. Connect the two points to draw the line.
2. Plot the line -x + 3y = 6 using a similar process.
3. The x-axis and y-axis represent the constraints x ≥ 0 and y ≥ 0, respectively.
Next, identify the feasible region, which is the region where all the constraints are satisfied. This region will be the intersection of the shaded regions determined by each constraint.
Finally, we need to identify the point within the feasible region that maximizes the objective function z = 3x + y. The optimal solution will be the vertex of the feasible region that gives the highest value for the objective function. This can be determined by evaluating the objective function at each vertex and comparing the values.
Note: Without a specific graph or additional information, it is not possible to provide the precise coordinates of the optimal solution in this case.
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find the relationship of the rate change (slope) and initial value when x=0 (y intercept) between x and y for the following table of values of x the independent variable and y the dependent variable also find the equation of the line in slope intercept form y=mx+b please show and explain your work
Answers
The rate of change is -2 and the initial value when x=0 (y intercept) is -1.
An equation of this line in slope-intercept form is y = -2x - 1.
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:
m represent the slope.x and y represent the points.First of all, we would determine the slope or rate of change of this line;
Slope (m) = (y₂ - y₁)/(x₂ - x₁)
Slope (m) = (3 - 5)/(-1 + 2)
Slope (m) = -2/1
Slope (m) = -2
At data point (-2, 5) and a slope of -2, a linear equation in slope-intercept form for this line can be calculated by using the point-slope form as follows:
y - y₁ = m(x - x₁)
y - 5 = -2(x + 2)
y - 5 = -2x - 4
y = -2x - 1
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What is the circumference, in feet, of the circle. Round to the nearest tenth
Answers
Let’s solve this! To find the circumference use square root, first take root1.5. Which is 1.2
Hope this helps!
Answer: 4.7 ft
Step-by-step explanation:
Since this is a diameter we are going to do the formula that uses the diameter to find the circumference.
C=3.14(d)
1.) Insert the numbers into the formula: C= 3.14*1.5
You’ll get 4.71 as your answer.
Next round to the nearest tenth and you’ll get 4.7.
Hope this helps!
A piece of wood is in the shape of a rectangular prism with a length of 10 inches, a width of 4 inches, and a height of 5 inches. You cut the wood in half to form two pieces of wood, each with a length of 5 inches. What is the percent increase in the total surface area? Round your answer to the nearest hundredth, if necessary. %
Answers
Answer: 18.18%
Step-by-step explanation:
First, let's calculate the surface area of the original piece of wood. The surface area (SA) of a rectangular prism is given by the formula:
\($$SA = 2lw + 2lh + 2wh$$\)
where \(\(l\)\) is the length, \(\(l\)\) is the width, and \(\(h\)\) is the height. For the original piece of wood, \(\(l = 10\) inches\), \(\(w = 4\) inches\), and \(\(h = 5\) inches\).
After the piece of wood is cut in half, the length becomes 5 inches, but the width and height remain the same. So, for each of the two new pieces of wood, \(\(l = 5\) inches\), \(\(w = 4\) inches\), and \(\(h = 5\) inches\). The total surface area of the two new pieces of wood is twice the surface area of one of the new pieces.
The percent increase in the total surface area is given by the formula:
\($$\text{Percent Increase} = \frac{\text{New Total SA} - \text{Original SA}}{\text{Original SA}} \times 100\%$$\)
Let's calculate these values.
The percent increase in the total surface area when the piece of wood is cut in half is approximately 18.18%.
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Answers
Answer:
x = 8 and y = -4
Step-by-step explanation:
3x + 4y = 8 (call this equation '1')
x - y = 12 (call this '2')
multiply '2' by 3:
3x - 3y = 36 (call this '3')
subtract '1' from '3':
(3x - 3y = 36) - (3x + 4y = 8)
0x + -7y = 28
-7y = 28
y = -4.
sub that back into '1':
3x + 4y = 8
3x + 4(-4) = 8
3x - 16 = 8
3x = 8 + 16 = 24
x = 8.
sub both y =-4 and x =8 into '2' to check if everything adds up:
x - y = 12
8 - -4 = 8 + 4 = 12
so x = 8 and y = -4
What numbers are missing from this pattern 36,2,13,21,?,?,?,?,36,2,13,21
Answers
Answer:
36,2,13,21
Step-by-step explanation:
At its simplest, it is a repeating sequence of 4 numbers:
36,2,13,21
So, those are the four missing numbers.
need help with this ASAP
!!!!!!!!!!!!!!!!!!!!!!!!
Answers
The fence in dead center is about 399 feet from the third base.
What is the Pythagorean Theorem?The Pythagorean Theorem states that in the case of a right triangle, the square of the length of the hypotenuse, which is the longest side, is equals to the sum of the squares of the lengths of the other two sides.
Hence the equation for the theorem is given as follows:
c² = a² + b².
In which:
c > a and c > b is the length of the hypotenuse.a and b are the lengths of the other two sides (the legs) of the right-angled triangle.For the triangle in this problem, we have that:
The sides are d ft and 90 ft.The hypotenuse is of 409 ft.Hence the distance is obtained as follows:
d² + 90² = 409²
\(d = \sqrt{409^2 - 90^2}\)
d = 399 ft.
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2x + 8 > -4. 2.find the solution set of x and express the solutions set in number form
Answers
The solution set of this inequality is {x| x > -6.1}
How to find the solution set?Here we have the inequality:
2x + 8 > -4.2
To find the solution set, we need to isolate the variable x in one of the sides of the inequality. Doing that we will get:
2x + 8 > -4.2
2x > -4.2 - 8
2x > -12.2
x > -12.2/2
x > -6.1
So the set of all numbers larger than -6.1, this in number form is:
{x| x > -6.1}
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Which one of the colors do I choose to pick
Answers
Answer:
you should pick green colour
In AMNO, the measure of Z0=90°, MO = 36, NM = 85, and ON = 77. What ratio represents the tangent of ZM? Answer: Submit Answer attempt i out of 2
Answers
I will first sketch in other to have a clearer picture of the diagram
Using the trigonometric ratio, tanngent of an angle is given by:
\(\tan \theta=\frac{opposite}{\text{adjacent}}\)from the diagram,
opposite = 77 and adjacent =36
\(\tan \text{ M =}\frac{77}{36}\)
Can anyone help me get the correct answer?
Answers
Answer:
Sorry
Step-by-step explanation:
I don't know the answer
Solve for x. Round to the nearest tenth, if necessary.
P.
х
50°
Q
R
4.2
Answers
Answer:
5.0 =x
Step-by-step explanation:
Since this is a right triangle
tan theta = opp side/ adjacent side
tan 50 = x / 4.2
4.2 tan 50 = x
5.005365089 =x
Rounding to the nearest tent
5.0 =x
How is finding -15 - (-6) similar to finding 15-6? How is it different?
Answers
1) The way both are similar is that they involve subtraction operation.
2) The way they are different is that they produce different answers.
How to solve basic order of operations?The basic order of operations in mathematics is called PEMDAS which denotes; parentheses, exponents, multiplication, division, addition, then subtraction.
The expressions are;
-15 - (-6) and 15 - 6
The way they are similar is that they both tell us that we are using the subtraction operation to subtract a number from another
The way they are different is that when the subtraction operation is multiplied by a subtraction operation it becomes addition and so -15 - (-6) becomes -15 + 6 which will give us a different result to 15 - 6.
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If you averaged 400 miles per day,about how many days would a trip of 1990 miles take
Answers
Answer:
It would take 5 days
Step-by-step explanation:
1990/400 is 4.975 round that it is 5 so 5 days
Answer:
At least 5 days
Step-by-step explanation:
400 miles per day / 1990 miles trip would take?
Cross multiplying gives;
\(\frac{1990}{400}\) = 4.975 days
Rounding off the answer to nearest day gives 5 days.
5. If a triangular figure is in the shape of an
isosceles right triangle, what is the measure
of each base angle?
Answers
Answer: each base angle in an isosceles right triangle measures 45 degrees.
Step-by-step explanation:
In an isosceles right triangle, two sides have equal lengths, and one angle is a right angle (90 degrees).
Since it is an isosceles triangle, the two base angles (the angles opposite the equal sides) must be congruent, meaning they have the same measure.
To find the measure of each base angle, we can use the fact that the sum of the angles in a triangle is 180 degrees.
Let's denote the measure of each base angle as "x". Then, the sum of the three angles in the triangle can be expressed as:
x + x + 90 = 180
Simplifying the equation:
2x + 90 = 180
Subtracting 90 from both sides:
2x = 90
Dividing both sides by 2:
x = 45
Jodie borrowed $700 from her credit union and agreed to repay them that amount
plus 2.88% simple annual interest accumulated over 2 years. How much will she
return to the credit union at the end of the 2 year
Answers
Answer:
Step-by-step explanation:
4 times the difference of 12 and 7
is divided by
5.
Answers
Answer:
4
Step-by-step explanation:
4*(12-7) divided by 5
4*5 divided by 5
20/5
4
Maria borrowed $80 from her grandmother for
summer camp. She agrees to repay her $8 per
week until he has paid the money back. The graph
of this linear relationship is shown. Use the graph
to answer questions 7 through 10.
nworla al 29ul
25
Answers
Answer:10 weeks
(1 , 8)
(2 , 16)
(3 , 24)
(4 , 32)
(5 , 40)
(6 , 48)
(7 , 56)
(8 , 64)
(9 , 72)
Step-by-step explanation:
Add eight each week/x
Simplity: -5 1/4-(-7 1/2)
Answers
Answer:
Exact form: -51/4
Decimal form: -12.75
Mixed number form: -12 3/4
Step-by-step explanation:
A blueprint shows an apartment with an area of 15 square inches. If the blueprint's scale is 1 inch : 8 feet, what will the actual square footage of the apartment be?
Answers
Answer:
120
Step-by-step explanation:
You have 15 inches and 1 and 8 devide 15 multiply 1 and 8
Answer:960? correct for me!
Step-by-step explanation:
Which of the following sets of data does NOT represent a function? Set A x y 6 3 8 4 5 7 9 2 Set B x y 0 3 1 8 2 8 3 -7 Set C x y 10 7 20 11 30 9 40 7 Set D x y 3 9 2 2 8 -3 2 1 a. Set A b. Set B c. Set C d. Set D
Answers
Answer:
Set D
Step-by-step explanation:
There's 2 different y-values for the x value, 2 in Set D
A Triangle has a height that is half of 28 yards and an area of 56 yards^2. What is the length of the base of the trangle?
Answers
The length of the base of the triangle is 8 yards whose height is half of 28 yards.
What is triangle?A triangle is a two-dimensional geometric shape that is formed by three straight lines that connect three non-collinear points. These three lines are called the sides of the triangle, and the points where the sides meet are called the vertices of the triangle.
According to question:The following formula provides the area of a triangle:
Area = (1/2) x base x height
We are given that the height of the triangle is half of 28 yards, which is:
height = 1/2 x 28 = 14 yards
We are also given that the area of the triangle is 56 square yards. Substituting these values into the formula for the area, we get:
56 = (1/2) x base x 14
Simplifying this equation, we get:
56 = 7 x base
Dividing both sides by 7, we get:
base = 8
Therefore, the length of the base of the triangle is 8 yards.
The vertices are typically denoted by letters, such as A, B, and C. The three angles formed by the sides are also part of the triangle.
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it’s a -10 btw and a positive 9
Answers
Answer: -1 and -9
Step-by-step explanation:
(- 1) + (-9) = -10
(-1) * (-9) = +9
hope this helps!
what is the difference between number system and scientific notation in math???
Answers
Answer:
its in the link
Step-by-step explanation:
Alk._irp
The graph compares the weights in pounds of 100 dogs and cats that are brought in
to a veterinarian's office. Using the medians, how much more does a typical dog weigh than a typical cat?
Answers
Answer:20
Step-by-step explanation:this is wrong
Answer:
40
Step-by-step explanation:
subtract median of dogs and median of cats
A
8
B
7
D
С
CD = [?]
![A8B7DCD = [?]](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/3CuWj1a1OlGaBO550VFrbvar71hvscJB.png)
Answers
The population of a rural city follows the exponential growth model P(t)=3400^0.0371t where t is the number of years after 1986 . a) Use this model to approximate the population in 2030.
Answers
After answering the presented question, we can conclude that expressions Therefore, the population of the rural city in 2030 is approximately 11,014.18.
what is expression ?In mathematics, you can multiply, divide, add, or subtract. An expression is constructed as follows: Number, expression, and mathematical operator A mathematical expression is made up of numbers, variables, and functions (such as addition, subtraction, multiplication or division etc.) It is possible to contrast expressions and phrases. An expression or algebraic expression is any mathematical statement that has variables, integers, and an arithmetic operation between them. For example, the expression 4m + 5 has the terms 4m and 5, as well as the provided expression's variable m, all separated by the arithmetic sign +.
To approximate the population in 2030, we need to find the value of P(t) when t = 44, since 2030 is 44 years after 1986.
Using the given exponential growth model, we have:
\(P(t) = 3400^(0.0371t)\\P(44) = 3400^(0.0371*44)\\P(44) = 3400^1.6334\\P(44) = 11014.18\\\)
Therefore, the population of the rural city in 2030 is approximately 11,014.18.
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