The expression is
[tex]\\ \rm\Rrightarrow x+(1+0.10)x[/tex]
[tex]\\ \rm\Rrightarrow x+1.10x[/tex]
Which of the following properties would NOT be used to justify any of the steps in solving the equation below?
72n=3n+4
2(72n)=2(3n+4)
7n=6n+8
7n−6n=6n+8−6n
n=8
A.Subtraction Property of Equality
B.Multiplication Property of Equality
C.Distributive Property
D.Zero Product Property
Given:
The equation is
[tex]\dfrac{7}{2}n=3n+4[/tex]
To find:
The properties which is not used from the given options.
Solution:
We have,
[tex]\dfrac{7}{2}n=3n+4[/tex]
Using Multiplication Property of Equality, multiply both sides by 2.
[tex]2(\dfrac{7}{2}n)=2(3n+4)[/tex]
[tex]7n=6n+8[/tex] (Distributive Property)
Using Subtraction Property of Equality, subtract 6n from both sides.
[tex]7n-6n=6n+8-6n[/tex]
[tex]n=8[/tex]
From the given options only one property is not used, i.e., Zero Product Property.
Therefore, the correct option is D.
If two platters of sandwiches serves 12 people at a party, how many platters will you
need if 96 people show up?
Answer:
8 platters
Step-by-step explanation:
675 x 78 : 567 =
can you stop deleting my question.
Answer:
675 x 78/567
First let's find the product of the numerator;
(675 x 78) = 52,650
Now we divide by 567:
52,650/567 = 92.85, which is around 92.90
9.8x+17=7.6x-16
??????
Q: What is 9.8x+17=7.6x-16?
A: Your answer should be 2.8867, I tried the best I could.
Answer:
x= -15
Step-by-step explanation:
You subtract 7.6 from 9.8
then you left with 2.2x+17=-16
Subtract 17 from -16 ( -33 )
Then you'll divide 2.2 and -33
x= -15
Write the equation of the line that passes through the points (3,-3) and (3,8). Put
your answer in fully simplified point-slope form, unless it is a vertical or horizontal
line.
The equation of the line is the vertical line x = 3.
The gradient of the lineThe gradient of the line between two points (x₁, y₁) and (x₂, y₂) is m = (y₂ - y₁)/(x₂ - x₁).
Since the line passes through the points (3,-3) and (3,8),
(x₁, y₁) = (3,-3) and (x₂, y₂) = (3,8).So, substituting the values of the variables into the equation, we have
m = (y₂ - y₁)/(x₂ - x₁).
m = (8 - (-3))/(3 - 3).
m = (8 + 3)/0
m = 11/0
m = +∞
Equation of the line in point-slope form
The equation of the line passing through the point (x₁, y₁) in point-slope form is given by
y - y₁ = m(x - x₁) where
m = gradient = +∞ and (x₁, y₁) = (3, -3)So, substituting the values of the variables into the equation, we have
y - y₁ = m(x - x₁)
y - (-3) = +∞(x - 3)
y + 3 = +∞(x - 3)
y + 3/+∞ = (x - 3)
0 = x - 3
x = 3
So, the equation of the line is the vertical line x = 3.
Learn more about equation of a line in point-slope form here:
https://brainly.com/question/24907633
need help serious answer thanks !
Answer:
a + 55 =180
a=180-55=125
b = 55 alternate angles
c=a=125 alternate angles
e =125. alternate angles
f=b=55
h=f=55 alternate angles
Step-by-step explanation:
(a) < a = 180-55= 125
(b) < b = 180- 125= 55
(c) < c = 189- 55 = 135
(d) < e = 125
(e) < f = 180-125= 55
(f) < h = 55
~
< a and < c are vertical angles.
< a and < b are adjacent angles.
< b and <h are Alternate interior angles.
< f and 55° are Alternate Exterior angles.
< a and < e are corresponding angles.
~
I need help on this ASAP
Statements - reasons :-
<1~= <5 - Corresponding Angles Theorem
<1 ~= <7 - Alternate Exterior Angles Theorem
<5 ~=<7 - Vertical Angles Theorem
line I || line m - Transitive Property
In this square, all the angles are equal. What is the measure of angle x°?
720°
180°
90°
360°
Answer:
90degrees
Step-by-step explanation:
I'm pretty sure, terribly sorry if I'm wrong
~Animaljamissofab ♥
nice green square lol
90° is the measure of angle x°.
What is an angle?In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle. The two rays are called the sides of an angle, and the common endpoint is called the vertex.
We know that, a ray is a line that continues on forever inn one direction with a point at it's start.
Here, given that,
the figure is a square,
so, all its angle = 90 degrees
Now, the x = (180-90)=90
Hence, 90° is the measure of angle x°.
To learn more on angle click:
brainly.com/question/28451077
#SPJ2
can someone do this sheet or me? thx!
Find the difference between
and
4/9 and -5/9
Answer:
1
Step-by-step explanation:
4/9 and -5/9 are 1 apart. This is because one of the numbers is positive and the other is negative, you have to make the negative number positive and add the two positive numbers together. In this case, 4/9+5/9=9/9. 9/9 is equivalent to 1. So, 4/9 and -5/9 are 1 apart.
Hope the explanation and answer helps!
Answer: -5/9 is negative, 4/9 is positive. The Difference when you subtract =1
Step-by-step explanation:
4/9 - -5/9 = 4/9 +5/9 = 1
(Subtracting negative = adding positive)
What is the value of c?
Answer:
c=9
Step-by-step explanation:
it’s because from the angles, you can see that this is an isosceles triangle, there the two sides have to be the same.
Find the length of the base of the triangle given the area of 217 ft and the hight of 24 ft
Answer:
18.0833 ft
Step-by-step explanation:
[tex]area=\frac{bh}{2}[/tex] where b is the base and h is the height
[tex]217=\frac{24h}{2}[/tex]
[tex]434=24h[/tex]
[tex]h=18.0833[/tex]
Five is less than or equal to the difference of twice a number n and 3.
6
Answer:
5 ≤ 2n - 3.6
Step-by-step explanation:
Five is less than or equal to the difference of twice a number n and 3.6
Five is less than or equal to: 5 ≤
twice a number n: 2n
difference of twice a number n and 3.6: 2n - 3.6
Therefore,
5 ≤ 2n - 3.6
Number is n
Twice a number means multiplication
2nDifference means subtraction
2n-3The expression becomes
5<=2n-3
-4 (w+1) = -24
What does w equal?
Answer:5
Step-by-step explanation:
24/4=6
6-1=5
Answer:
w = 5
Step-by-step explanation:
-4 (w+1) = -24
-4w -4 = -24 | +4
-4w = -20 | :(-4)
w = 5
Waheed's father is twelve years older than his mother. The sum of their ages is 76 years old. How old is Weheed's father
Answer:
32
Step-by-step explanation:
Let, the age of father and mother be x and y respectively. then,
According to question,
x + y = 76.........(i)
x= y + 12...............(ii)
Now,
x + y = 76
or, ( y + 12) + y = 76
or, y + 12 + y = 76
or, 2y = 76 – 12
or, 2y = 64
or, y = 64/2
.
. . y = 32
hope it will help you.
NEED HELP ASAP WILL GIVE BRAINLY IF CORRECT 20 POINTS
Answer:
5x-2y=-33
First.) -5x+10x= 5x
Second.) -5y+3y= -2y
Third.) -30+-3= -33
:) Hope you enjoy this :)1. A student grew crystals for science class. This table gives the height of the largest crystal every day for 7 days. The table can be modeled using an exponential function.
Days 2 4 6 8 10 12 14
Height (cm) 2.55 4.25 7.25 12.25 20.65 34.95 59.05
What function best represents the data?
y=1.5·1.3x
y=1.5·0.5x
y=0.59x
y=2.17+0.59x
Will Give Brainiest <3
Answer:
(a) y = 1.5·1.3^x
Step-by-step explanation:
Growth is modeled by an exponential function when the base is greater than 1.
There is only one answer choice that models growth. The others all have a base (0.5 or 0.59) that is less than 1, so model decay.
y = 1.5·1.3^x
Now select point C and move it around. Do you observe any change in the relationship between the three angles?
Answer:
No. <BAC and <CAD remain congruent, and m<DAB is still the sum of m<BAC and m<CAD
Step-by-step explanation:
Answer:
No. ∠BAC and ∠CAD remain congruent, and m∠DAB is still the sum of m∠BAC and m∠CAD.
Step-by-step explanation:
What is the domain of the function shown in the mapping?
{x|x= -5, -3,1,2,6)
fuly = -9,-6,0,2,4}
fx|x = -9, -6, -5, -3,0,1,2,4,6}
tyly = -9, -6, -5, -3,0,1,2,4,6}
Mark this and return
Save and Exit
Next
Submit
*see attachment for the diagrambifbthe mapping
Answer:
{x | x = –5, –3, 1, 2, 6}
Step-by-step explanation:
The domain of a function includes all input values entered in the oval for input, while the range includes all the values in the output oval.
From the mapping given in the attachment, we have the following possible values of the function in the input oval as: -5, -3, 1, 2, 6.
These x-values make up the domain of the function, and represented as: {x | x = –5, –3, 1, 2, 6}
Circumference of Circle
Geometry
Answer:
the equation for the circumerence of a circle is pi R squared
Step-by-step explanation:
here the radius is 28
So it would be pi 28squared
so i think it would be 784pi
volume equals length times width times height v=lwh
solve the equation for l
Answer:
[tex]\frac{V}{wh}=l[/tex]
Step-by-step explanation:
Equation: [tex]V=lwh[/tex]
1). [tex]\frac{V}{wh}=\frac{lwh}{wh}[/tex]
2). [tex]\frac{V}{wh}=l[/tex]
120 as a product of primes
Answer: 2 x 2 x 2 x 3 x 5
Step-by-step explanation:
Hope this helps. Those are all primes that equal 120.
What is the slope intercept form of 2x+2y=10 (y=mx+b no extra words or comments)
Answer:
[tex]y=-x+5[/tex]
Step-by-step explanation:
[tex]2x+2y=10\\2y=10-2x\\y=-2/2x+10/2\\y=-x+5[/tex]
Find the equation of the line below?
Answer:
y = 1/2x + 1/2
Step-by-step explanation:
first list a few points to find the slope
(1,1) (3, 2)
y2 - y1/x2 - x1
2 - 1/3 - 1
1/2
y = 1/2x + b
to find the slope use a point you didnt use yet (since its tricky to find the intercept looking at the graph)
(-1, 0)
0 = 1/2(-1) + b
0 = -1/2 + b
b = 1/ 2
lets check:
point: (-3, -1)
y = 1/2x + 1/2
-1 = 1/2(-3) + 1/2 ?
-1 = -3/2 + 1/2 ?
-1 = -1
Answer:
Slope intercept form;
y = mx + b
If we look at the graph, we can see the line intercepts with y axis at around 0.5, so 0.5 is our y - intercept.
If we look at the slope it rises 1/2
Though we can double check by using two points of the line:-
Δy y2 - y1
___= ______
Δx x2 - x1
One point of the line, (1,1)
Second point of the line, (3,2)
Plug it into the formula:
2 - 1 1
____ = ____, 1/2 is the slope
3 - 1 2
Now we use it in our equation;
y = 1/2x + 0.5
Which inequality is true when x = 0. 5 and y = 5?
A. 4xy > 11.5
B. 9y + x > 45.5
C. y - 2x < 3
D. 7xy < 18
Answer:
D. [tex]7xy# < 18[/tex]
Step-by-step explanation:
[tex]4(0.5)(5) > 11.5[/tex] [tex]10 > 11.5[/tex] which is not true
[tex]9(5)+0.5 > 45.5[/tex] [tex]45.5 > 45.5[/tex] which is not true (they are equal)
[tex]5-2(0.5) < 3[/tex] [tex]4 < 3[/tex] which is not true
[tex]7(0.5)(5) < 18[/tex] [tex]17.5 < 18[/tex] which is true so the answer is D
If your height and the length of your shadow are the same, what can you say about the angle of elevation of the sun?
Answer:
A. 90°Step-by-step explanation:
The angle of elevation is the angle between the horizontal line and the line connecting you and the sun.
Since the line is vertical the angle between them is right angle.
Correct choice is A.
Samantha Ran 10x-9 Miles and Sam ran 9x-10 miles WHATS the difference
Answer:
10x-9-(9x-10)
=10x-9-9x+10
=10x-9x+10-9
=x+1
Answer:x+1
Step-by-step explanation:
A rectangular prism has a length of 10 in., a width of 2 in., and a height of 312 in. the prism is filled with cubes that have edge lengths of 12 in. how many cubes are needed to fill the rectangular prism? enter your answer in the box. to fill the rectangular prism, cubes are needed.
Step-by-step explanation:
that is a strange question. you will see in a moment why.
I suspect your teacher just wants to do the exercise to have a large volume and then see how often a small volume fits into that large volume.
we can do that quickly:
large volume = 10×2×312 = 6240 in³
small (cube) volume = 12×12×12 = 1728 in³
so, we could put 6240/1728 = 3.611111111... cubes into a volume as the prism has.
now why did I phrase this so strangely ?
because the prism not only has volume but also a shape.
it is a narrow but high container with the small dimensions being 10 in and 2 in.
the cubes have a side (or edge) length of 12 in. that is not compatible with the 10 in and 2 in cubes of the prism.
not a single one cube would fit into the prism.
so, the realistic answer is : 0 cubes.
if it does not matter that the cubes would stand out of the prism, we could simply stack a single file of cubes along the height of the prism :
312/12 = 26 cubes.
so, we could stack 26 cubes inside the height of the prism.
so, I conclude, this is either a trick question (and 0 is the true answer), or there is a mistake in the question.
possibly in the dimensions of either the prism or the cubes.
for example, let's assume the cubes have an actual side length of 2 in (and not 12 in).
then the small (cube) volume is : 2×2×2 = 8 in³
and they will fit into the prism also shape wise.
6240/8 = 780 cubes
so, we would need 780 cubes of that size to fill the prism.
or, as another example, the cubes have a side length of 1/2 in.
then the small (cube) volume = 1/2³ = 1/8 in³
6240/(1/8) = 6240 × 8 = 49,920 cubes
in that case we would need 49,920 cubes to fill the prism.
Use -b/2a to find the axis of symmetry equation and the vertex g(x) = x^2-5x
Answer:
Axis of symmetry (-b/2a)= -2.5 or -5/2
Vertex- (2.5, -6.25) or (-5/2, -25/4)
Step-by-step explanation:
Find the AOS= -(-5)/2(1)= 2.5
Find the vertex= (2.5)^2 - 5(2.5)= -6.25
Find the value of angle marked x
Based on the given diagram we see that all the exterior angle is in a straight line with the interior angle.
Using the known angle measure, we know that the shape has angles of measure, 123 degrees, 94 degrees, 79 degrees, and '180 - x' degrees
Also, the sum of all the angles in a quadrilateral, any four-sided shape, is 360 degrees.
Now using the knowledge gained lets set up the equation
[tex]123 + 94 + 79 + 180 - x = 360\\476 - x = 360\\-x = -116\\x = 116[/tex]
Therefore x is 116 degrees.
Hope that helps!