Translate this sentence into an equation.
The sum of 14 and Greg's height is 64.
Use the variable g to represent Greg's height.
Answers
Answer:
g+14=64
Step-by-step explanation:
Answer:
64=14+g
Step-by-step explanation:
Sum of two numbers is 64, so that means you put 64 before the equals sign. All that remains is g and 14. It says the sum of 14 and g (gregs height) equals 64, so you know that in the equation they have to be added together.
Related Questions
What is the meaning of "the cancellation laws"?
Answers
Each step of this theorem is proved below.
Given that,
S is finite,
Now enumerate all of its elements as x₁, x₂,..., x\(_{n}\).
According to the cancellation rule,
This product is independent of the order of the factors.
As a result, we can define the identity element e as this product.
It is simple to demonstrate that e meets the criteria of an identity element.
Now, let's show that every element of S has an inverse.
Let a be any element of S. Consider the set {a, a, a, ...}.
Since S is finite,
There exist positive integers m and n such that
am = an for some m > n.
By the cancellation law,
We can cancel a power of a from both sides to get a\({(m-n)}\) = e.
This means that a has an inverse, and we can conclude that S is a group.
Consider the set of all positive integers under addition, except 1, as an example of an infinite semigroup in which the cancellation laws hold but which is not a group.
This set clearly meets the cancellation laws, but it does not have an inverse for every element, because the inverse of 2, for example, is not an integer.
As a result, this is not a group.
To learn more about cancellation law visit:
https://brainly.com/question/31328698
#SPJ1
Sharon makes money by commission rates. She gets 17% of everything she sells. If Sharon sold $37000 worth of items this month, what is her salary for the month?
Answers
Answer:
$6290
Step-by-step explanation:
37000 x .17 = 6290
i don't understand how to do this.. can someone help, please
Answers
The possible values for angles 1, 2, and 3 given that lines a and b are parallel lines include the following:
m∠1 = 60°.m∠2 = 120°.m∠3 = 60°.What are parallel lines?In Mathematics and Geometry, parallel lines are two (2) lines that are always the same (equal) distance apart and never meet or intersect.
Note: Assuming angle 1 is equal to 60 degrees.
In Mathematics and Geometry, the vertical angles theorem states that two (2) opposite vertical angles that are formed whenever two (2) lines intersect each other are always congruent, which simply means being equal to each other:
m∠1 ≅ m∠3 = 60°.
Based on the linear pair postulate, the measure of angle 2 can be determined as follows;
m∠1 + m∠2 = 180°
60° + m∠2 = 180°
m∠2 = 180° - 60°
m∠2 = 120°
Read more on parallel lines here: https://brainly.com/question/12783631
#SPJ1
120 eggs from 20 chicken
Answers
Answer:
10 eggs per chicken
Step-by-step explanation:
if you divide you get 10 eggs per
A quadrilateral is shown.
H
6.5
5.51
What is the area of the quadrilateral? Enter the answer in the box.
Answers
The calculated area of the quadrilateral is 35.82 square units.
What is the area of the quadrilateral?Given that
BAse = 6.5
Height = 5.51
To find the area of a quadrilateral, we need to multiply the base by the height.
Area of quadrilateral = base x height
Substituting the given values, we get:
Area = 6.5 x 5.51
Area = 35.815
Rounding to the nearest hundredth, the area of the quadrilateral is 35.82 square units.
Read more about area at
https://brainly.com/question/24487155
#SPJ1
Solve the following equation. Then place the correct number in the box provided. 3x + 1 = 2x + 12
Answers
Answer:
x = 11
Step-by-step explanation:
3x+1 = 2x+12 (subtract 2x from both sides)
x+1 = 12 (subtract 1 from both sides)
x = 11
So x is equal to 11
Please help me!!!!!!!!
Answers
A gallon of paint can cover 2/25 of the wall. How much of the wall will be painted if there were 5 gallons of paint?
Answers
If one gallon of paint can cover 2/25 of the wall, then 5 gallons of paint can cover:
5 x 2/25 = 2/5 of the wall.
Therefore, if there were 5 gallons of paint, 2/5 of the wall would be painted.
translate in terms of x then solve the algebra equation the sum of a number and 3 is subtracted from 10 the result is 5
Answers
Answer:
x=2
Step-by-step explanation:
10 - (x + 3) = 5
To solve for x, we can start by simplifying the left side of the equation:
10 - (x + 3) = 5
10 - x - 3 = 5
7 - x = 5
Next, we can isolate x on one side of the equation by subtracting 7 from both sides:
7 - x = 5
7 - x - 7 = 5 - 7
-x = -2
Finally, we can solve for x by dividing both sides of the equation by -1:
-x = -2
x = 2
Therefore, the solution to the equation is x = 2.
Please help! Will give brainliest
Answers
\(1.4 < \sqrt{2} < 1.5\hspace{5em}1.7 < \sqrt{3} < 1.8 \\\\[-0.35em] ~\dotfill\\\\ \begin{array}{lllll} 1.7& < &\sqrt{3}& < &1.8\\\\ 1.7-\sqrt{2}& < &\sqrt{3}-\sqrt{2}& < &1.8-\sqrt{2}\\\\ 1.7-1.5& < &\sqrt{3}-\sqrt{2}& < &1.8-1.4\\\\ 0.2& < &\sqrt{3}-\sqrt{2}& < &0.4 \end{array}\)
we're subtracting the upper-bound of √2, so is the most we can subtract from 1.7, and we're subtracting the lower-bound of √2 from 1.8, that way the resultant is within range.
i dont know how to do this
6x-2=4x+2
Answers
Answer:
x=2
Step-by-step explanation:
6x-2=4x+2
Move all terms with x to the left side by subtracting 4x from both sides:
2x-2=2
Move all terms without x to the right side by adding 2 to both sides:
2x=4
Divide both sides by 2 to get x by itself:
x=2
HELP LOTS OF POINTS! You are on the ground looking at the top of a 1,000 foot tall building through binoculars at a 75 degree angle of elevation. Your eyes are 5 feet above the ground (consider this). How far away from the building are you standing? Round to the nearest tenth
Answers
Answer:
266.6 ft
Step-by-step explanation:
If a person stands at a point and looks up at an object, the angle between their horizontal line of sight and the object is called the angle of elevation.
To find how far away from the building you are standing, we need to find the distance labelled "x" on the attached diagram. We can do this by modelling the given scenario as a right triangle and solving for x by using the tangent trigonometric ratio.
Tangent trigonometric ratio\(\boxed{\tan \theta=\sf \dfrac{O}{A}}\)
where:
θ is the angle.O is the side opposite the angle.A is the side adjacent the angle.Given information:
Height of building = 1000 ftPerson's eye level above the ground = 5 ftAngle of elevation = 75°As your eyes are 5 ft above the ground, we have to model the line of sight as 5 ft above ground level. Therefore, the side of the right triangle opposite the angle of elevation is the height of the building less 5 ft:
\(\implies \sf 1000 \; ft - 5\; ft=995 \; ft\)
Let "x" be the horizontal distance between you and the building.
Therefore, the values to substitute into the tangent ratio are:
θ = 75°O = 995A = xSubstitute these values into the ratio and solve for x:
\(\tan 75^{\circ}=\dfrac{995}{x}\)
\(x=\dfrac{995}{\tan 75^{\circ}}\)
\(x=266.609446...\)
\(x=266.6\; \sf ft\; (nearest\;tenth)\)
Therefore, you are standing 266.6 ft from the building.
hi hope your doing great. can you work the math problem answer the long way( +-xor /) result the long way pls
Answers
Observe the graphs given in the table and see which points they pass through.
The graph should pass through (1,1.5),(2,3),(3,4.5),(4,6)
According to the figure only graph in option A satisfies all the points hence option A is correct.
Help me with this geometry
Answers
Answer:
x = 11.2
Step-by-step explanation:
Since, ΔPQR ~ ΔVST,
By the property of similar triangles, corresponding sides of these triangle will be proportional.
\(\frac{PQ}{VS}=\frac{QR}{ST}\) ---------(1)
Since, scale factor = \(\frac{\text{Dimension of the image figure}}{\text{Dimension of the original}}\)
\(\frac{2}{5}\) = \(\frac{PQ}{VS}\)
Therefore, from equation (1)
\(\frac{2}{5}=\frac{x}{28}\)
x = \(\frac{28\times 2}{5}\)
x = 11.2
3.5 - (n + 21) - 4n = -45
Answers
Answer:
\(n = \frac{11}{2} = 5.500\)
I am a number. If you square the product of 3 and 4 you will know what I am. I am __________.
Answers
Answer:
144
Step-by-step explanation:
product of 3 and 4 = 12
square of 12 = 144
Find the solution of the system for which
Answers
Answer:
3,0,-6,0
Step-by-step explanation:
x1=3 because 3+0+0=3
since x2 and s2=0.
In the figure below, BD bisects ∠ABC. What is the length of AB?
Select the best choice from the answers provided.
A.) 3
B.) 6
C.) 8
D.) 12
Answers
Answer:
D. 12
Step-by-step explanation:
Based on the Angle Bisector theorem, the opposite sides of ∆ABC are divided into proportional segments alongside the two other sides of the triangle, as BD bisects the <ABC. This implies that:
AB/AD = CB/CD
Substitute
AB/8 = 6/4
Cross multiply
AB*4 = 6*8
AB*4 = 48
AB = 48/4
AB = 12
Write the equation for a parabola with a focus at (1,2) and a directrix at y=6
Answers
Solution:
Given:
\(\begin{gathered} focus=(1,2) \\ directrix,y=6 \end{gathered}\)Step 1:
The equation of a parabola is given below as
\(\begin{gathered} y=\frac{1}{4(f-k)}(x-h)^2+k \\ (h,f)=focus \\ h=1,f=2 \end{gathered}\)Step 2:
The distance from the focus to the vertex is equal to the distance from the vertex to the directrix:
\(\begin{gathered} f-k=k-6 \\ 2-k=k-6 \\ 2k=2+6 \\ 2k=8 \\ \frac{2k}{2}=\frac{8}{2} \\ k=4 \end{gathered}\)Step 3:
Substitute the values in the general equation of a parabola, we will have
\(\begin{gathered} y=\frac{1}{4(f-k)}(x-h)^{2}+k \\ y=\frac{1}{4(2-4)}(x-1)^2+4 \\ y=-\frac{1}{8}(x-1)^2+4 \\ \end{gathered}\)By expanding, we will have
\(\begin{gathered} y=-\frac{1}{8}(x-1)^{2}+4 \\ y=-\frac{1}{8}(x-1)(x-1)+4 \\ y=-\frac{1}{8}(x^2-x-x+1)+4 \\ y=-\frac{1}{8}(x^2-2x+1)+4 \\ y=-\frac{x^2}{8}+\frac{x}{4}-\frac{1}{8}+4 \\ y=-\frac{x^2}{8}+\frac{x}{4}-\frac{1+32}{8} \\ y=-\frac{x^2}{8}+\frac{x}{4}+\frac{31}{8} \end{gathered}\)Hence,
The final answer is
\(\begin{gathered} \Rightarrow y=-\frac{x^{2}}{8}+\frac{x}{4}+\frac{31}{8}(standard\text{ }form) \\ \Rightarrow y=-\frac{1}{8}(x-1)^2+4(vertex\text{ }form) \end{gathered}\)whats 2×1..... ............. . .......
Answers
Answer:
2
Step-by-step explanation:
Answer:
2x1 is 2
Step-by-step explanation:
D(-8, 1), E(-3, 6), F(7, 4), G(2, -1) distance formula
Answers
the distances between the given points are: D and E: 5sqrt(2), E and F: 2sqrt(26), F and G: 5sqrt(2) and G and D: 2sqrt(26)
What is distance in math?
As its name implies, any distance formula outputs the distance (the length of the line segment). In coordinate geometry, there is a number of formulas for finding distances, such as the separation between two points, the separation between two parallel lines, the separation between two parallel planes, etc.
The distance formula is:
d = \(\sqrt(((x2 - x1)^2 + (y2 - y1)^2))\)
Using this formula, we can find the distances between the given points as follows:
Distance between D(-8, 1) and E(-3, 6):
d = \(\sqrt((-3 - (-8))^2 + (6 - 1)^2) = \sqrt(25 + 25) = \sqrt(50) = 5\sqrt(2)\)
Distance between E(-3, 6) and F(7, 4):
d = \(\sqrt((7 - (-3))^2 + (4 - 6)^2) = \sqrt(100 + 4) = \sqrt(104) = 2\sqrt(26)\)
Distance between F(7, 4) and G(2, -1):
d = \(\sqrt((2 - 7)^2 + (-1 - 4)^2) = \sqrt(25 + 25) = \sqrt(50) = 5\sqrt(2)\)
Distance between G(2, -1) and D(-8, 1):
d = \(\sqrt{{(-8 - 2)}^2 + (1 - (-1))^2)} = \sqrt(100 + 4) = \sqrt(104) = 2\sqrt(26)\)
Therefore, the distances between the given points are:
D and E: 5sqrt(2)
E and F: 2sqrt(26)
F and G: 5sqrt(2)
G and D: 2sqrt(26)
Learn more about distance , by the following link.
https://brainly.com/question/26046491
#SPJ1
Plzzzzzzzzzzz helppppppp
Answers
Answer:
B
Step-by-step explanation:
B because it is the farthest away from 0.
How are the two angles related?
Answers
The two angles are related in that they are supplementary angles
Supplementary angles would add tuo to 180 degrees according to the angle Theorem.
Adding the two given angles :
52+128 = 180These angles are supplementary
The angles aren't vertical in that , vertical angles should have the same vertex. Complementary angles on the other hand add to 90 degrees. While the angles doesn't share the same side, hence, they aren't adjacent.
Hence, the angles are related as they are supplementary angles .
Learn more on angles : https://brainly.com/question/11955149
#SPJ1
Try These questions out and I’ll give you brainliest
Answers
The expressions are simplified to;
1. 72n² + 63n
2. 18t - 18t²
3. -18b² - 18b
4. -56r - 21r²
5. -6m + 9m²
What are algebraic expressions?Algebraic expressions are simply described as expressions that are known to consist of coefficients of variables, variables, constants, terms, and factors.
These algebraic expressions are also made up of mathematical or arithmetic operations.
These operations are;
BracketParenthesesAdditionMultiplicationDivisionSubtractionFrom the information given, we have;
1. -9n (-8n -7)
expand the bracket
72n² + 63n
2. -2t(-9 + 9t)
expand the bracket
18t - 18t²
3. -3b(6b + 6)
expand the bracket
-18b² - 18b
4. -7r(8 + 3r)
expand the bracket
-56r - 21r²
5. 3m(-2 + 3m)
expand the bracket
-6m + 9m²
Learn more about algebraic expressions at: https://brainly.com/question/4344214
#SPJ1
1) Graph the function by plotting the ordered pairs (0, 0) (10, 125) (20, 250) (30, 375) (40, 500) and
drawing a straight line through the points. Label the axes with appropriate
variable
quantities
and units. Label the points with the correct ordered pairs. Include a title for the graph.
Answers
The graph of the given function is attached below.
We are given a function. A function connects an input and an output. It is analogous to a machine with an input and an output. And the output is somehow related to the input.
The coordinates of several points are given. We need to graph the function by plotting the ordered pairs (0, 0), (10, 125), (20, 250), (30, 375), and (40, 500).
The function is a straight line. A straight line is a one-dimensional figure with an infinite length. It is made up of an infinite number of points connected on both sides of a point. We also need to draw the line through the points. The graph is attached below.
To learn more about functions, visit :
https://brainly.com/question/5975436
#SPJ1
Which linear function has the same y-intercept as the one that is represented by the graph?
On a coordinate plane, a line goes through points (3, 4) and (5, 0).
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 3, negative 1, 1, 3. Column 2 is labeled y with entries negative 4, 2, 8, 14.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 4, negative 2, 2, 4. Column 2 is labeled y with entries negative 26, negative 18, negative 2, 6.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 5, negative 3, 3, 5. Column 2 is labeled y with entries negative 15, negative 11, 1, 5.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 6, negative 4, 4, 6. Column 2 is lab
eled y with entries negative 26, negative 14, 34, 46.
Answers
The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.
To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).
First, let's find the slope of the line using the formula:
slope (m) = (change in y) / (change in x)
m = (0 - 4) / (5 - 3)
m = -4 / 2
m = -2
Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:
y - y1 = m(x - x1)
Using the point (3, 4) as our reference point, we have:
y - 4 = -2(x - 3)
Expanding the equation:
y - 4 = -2x + 6
Simplifying:
y = -2x + 10
Now, let's check the given options to find the linear function with the same y-intercept:
Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)
The y-intercept is not the same as the given line. So, this option is not correct.
Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)
The y-intercept is not the same as the given line. So, this option is not correct.
Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)
The y-intercept is the same as the given line (10). So, this option is correct.
Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)
The y-intercept is not the same as the given line. So, this option is not correct.
Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.
for such more question on linear function
https://brainly.com/question/9753782
#SPJ8
If 12-6r=r+8-3r what is the value of r + 4
Answers
Answer:5
Step-by-step explanation:
The Centers for Disease Control and Prevention (CDC) screens, assesses, and evaluates children for developmental disabilities. true or false
Answers
TRUE. The Centers for Disease Control and Prevention (CDC) screens, assesses, and evaluates children for developmental disabilities.
What is Centers for Disease Control and Prevention (CDC)?
The Centers for Disease Control and Prevention is the national public health agency of the United States.
How does Centers for Disease Control and Prevention (CDC) evaluates children for developmental disabilities?
The Centers for Disease Control and Prevention (CDC) works to identify causes of Developmental Disabilities and opportunities to prevent them.
Developmental monitoring observes how a child grows and changes over time and whether the child meets the typical developmental milestones.
Thus, the Centers for Disease Control and Prevention (CDC) screens, assesses, and evaluates children for developmental disabilities.
Learn more about Centers for Disease Control and Prevention here: https://brainly.com/question/24623398
#SPJ1
The square of a number decreased by ten times the number is negative nine.
Answers
Answer:
9 OR 1
Step-by-step explanation:
Let the number be x
x² - 10x = -9
x² - 10x + 9=0
a=1
b=-10
c=9
Solve using the quadratic formula
x =9 or 1
x=1 or x=9
Enter the unknown number that makes the equation true.
42 x 36 = (40 + 2) X (30+?
Answers
Answer:
6
Step-by-step explanation:
42 x 36 and (40 + 2) X (30 + 6) are the same thing, they are just written differently. Hope This helps!