Answer:
x=5
Step-by-step explanation:
-6+5=-1
start at -6 then go right units until u get -1 you got right 5 units
The value of x in the given equation is:
x=5
Step-by-step explanation:We are given a algebraic expression in terms of the variable x by:
[tex]-6+x=-1[/tex]
Now, we are asked to find the value of x from the equation.
i.e. we have to solve for x.
i.e. by some appropriate algebraic operation we need to solve for x.
so we will add 6 on both the sides of the equation to get:
[tex]-6+x+6=-1+6\\\\i.e.\\\\-6+6+x=5\\\\i.e.\\\\0+x=5\\\\i.e.\\\\x=5[/tex]
Hence, the value of x is: 5
Find the value of x if A, B, and C are collinear points and B is between A and C
AB=5, BC=3x+7, AC=5x-2
Answer:
x = 7
Step-by-step explanation:
5 + 3x + 7 = 5x - 2
Solve for x and you get 7
Answer:
x = 7
Step-by-step explanation:
We are given that A, B and C are collinear points and B is in between A and C.
The length from A to B is [tex] 5[/tex], length from B to C is [tex] 3x + 7 [/tex] and AC is [tex] 5 x - 2 [/tex].
We are to find the value of x.
[tex] A B + B C = A C [/tex]
[tex] 5 + 3 x + 7 = 5 x - 2 [/tex]
[tex] 5 x - 3 x = 5 + 7 + 2 [/tex]
[tex] 2 x = 1 4 [/tex]
[tex] x = \frac { 1 4 } { 2 } [/tex]
x = 7
What is the number????
Step-by-step explanation:
[tex]n-a\ number\\\\3.145<n<3.146\Rightarrow 3.1450<n<3.1460\\\\n\in\{3.1451,3.1452,\ 3.1453,\ 3.1454,\ ...,3.1459\}[/tex]
Which equations are true?
Choose all answers that apply:
A. − x = −x + x + 0
B. − x = 0 + (−x)
C. None of the above
B 'cause A return value equal to 0
A store is having a Back To School Sale.The total for a skirt,a pair of shoes,and a pair of socks is $34.95 before tax.The pair of socks costs $3.75.The original prices of the skirt and shoes were the same.What was the sales price of the skirt
Final answer:
The sales price of the skirt was $15.60.
Explanation:
In this problem, we are given that the total cost of the skirt, pair of shoes, and pair of socks is $34.95 before tax. We are also given that the pair of socks costs $3.75. Since the original prices of the skirt and shoes were the same, we can assume they each cost x dollars.
Therefore, the equation we can set up is: x + x + 3.75 = 34.95.
We can solve this equation to find the value of x, which represents the original price of the skirt. Subtracting 3.75 from both sides, we get: 2x = 31.20. Dividing both sides by 2, we find that x = 15.60. Therefore, the sales price of the skirt was $15.60.
which of the following has two bases?
A. prism
B. pyramid
C. line
D. plane
A. Prism
A prism has two bases
The graph shows the cost of one pound of apples at the grocery store. Find the slope of the line??????
i dont understand!!
Answer:
[tex]\large\boxed{The\ slope=\dfrac{3}{2}}[/tex]
Step-by-step explanation:
The formula of a slope:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
From the graph we have the points (0, 0) and (4, 6) - look at the picture.
Substitute:
[tex]m=\dfrac{6-0}{4-0}=\dfrac{6}{4}=\dfrac{6:2}{4:2}=\dfrac{3}{2}[/tex]
The slope of the line is [tex]\frac{3}{2}[/tex]
What is slope of a line ?
The change in y co-ordinate with respect to the change of x co-ordinate of a line is called the slope of the line.
Slope of a line is denoted by "m"
If two points on the line are [tex](x_{1},y_{1})[/tex] & [tex](x_{2} ,y_{2})[/tex], then m = [tex]\frac{y_{2}- y_{1} }{x_{2} -x_{1} }[/tex]
What is the required slope ?From the given graph, We take to points (2, 3) & (4, 6)
Now, Slope (m) = [tex]\frac{y_{2}- y_{1} }{x_{2} -x_{1} }[/tex]
= [tex]\frac{6-3}{4-2}[/tex]
= [tex]\frac{3}{2}[/tex]
The slope = [tex]\frac{3}{2}[/tex]
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Find the seventh term of
Answer:
99
Step-by-step explanation:
Triangle ABC is shown below :
Answer:
try the answer C
Step-by-step explanation:
A machine uses pieces of tape to seal packages. It cuts the tape into pieces exactly 2.375 inches long. If it uses 4 pieces of tape for a package, how many packages can it seal with a roll of tape of 1,900 inches long?
Answer:
200
Step-by-step explanation:
Find the product of (x + 5)2. x2 − 10x + 25 x2 − 25 x2 + 25 x2 + 10x + 25
Answer: Last option.
Step-by-step explanation:
By definition, the square of a binomial is:
[tex](a+b)^2=a^2+2ab+b^2\\\\(a-b)^2=a^2-2ab+b^2[/tex]
Keeping the above on mind, you have the following expression given in the problem:
[tex](x+5)^2[/tex]
Therefore, if:
[tex]a=x\\b=5[/tex]
You obtain the following trinomial:
[tex](x+5)^2=x^2+2(x)(5)+5^2=x^2+10x+25[/tex]
Therefore, the answer is the last option.
Answer:
D. x2 + 10x + 25
Step-by-step explanation:
Rhett made a simple drawing of his house.It is a three-dimensional figure with four faces that are rectangular and two that are square. What kind of figure is it.
Answer:
it is a rectangular prism
Step-by-step explanation:
it is 3D and when something has four faces that are rectangular and two that are sqaure it makes it a rectangular prism. imagine the rectangles on the sides and sqares at the end, it looks like a rectangle =).
tell whether the sequence is arithmetic 4,8,16,22,32
Answer:
see explanation
Step-by-step explanation:
If the sequence is arithmetic then there will be a common difference d between consecutive terms, that is
8 - 4 = 4
16 - 8 = 8
22 - 16 = 6
32 - 22 = 10
The difference between terms is not common
Hence this is not an arithmetic sequence
What is a probability that a person chosen at random who lives in the city live in the east or west region?
Answer:
0.3
Explanation:
We are given that:
Probability that a randomly chosen person lives in the East is 0.12
P(East) = 0.12 ..................> I
Probability that a randomly chosen person lives in the West is 0.18
P(West) = 0.18 ............> II
Now, we want to find the probability that the randomly chosen person lives in the East or West
To do this, we will use the following formula:
P(A or B) = P(A) + P(B)
Applying this rule to our givens:
P(East or West) = P(East) + P(West)
P(East or West) = 0.12 + 0.18
P(East or West) = 0.3
Hope this helps :)
Answer:
0.30
Step-by-step explanation:
The probability that a person chosen at random lives in the east region is 0.12
The probability that a person chosen at random lives in the west region is 0.18
The probability that a person chosen at random lives in east or west region;
[tex]P(E\:or\:W)=P(E)+P(W)[/tex]
This implies that;
[tex]P(E\:or\:W)=0.12+0.18[/tex]
[tex]P(E\:or\:W)=0.30[/tex]
Suppose you want to determine the number of miles you can drive in your car. Your car gets 20 miles per gallon. The number of miles traveled varies directly with the number of gallons of gas the tank holds. Write a direct variation equation that represents the situation. Let y be the dependent variable and let x be the independent variable
Answer:
y = 20x
Step-by-step explanation:
We know that the car gets 20 miles per gallon and the number of miles traveled varies directly with the number of gallons of gas the tank holds.
We are to write a direct variation equation which represents this situation.
Direct variation is expressed in the form [tex]y=kx[/tex], where [tex]k[/tex] is the constant of variation.
So for this situation, the direct variation equation will be:
[tex]y=20x[/tex]
Answer: [tex]y=20x[/tex]
Step-by-step explanation:
By definition, a direct variation equation has the form shown below:
[tex]y=kx[/tex]
Where k is a constant, y is the dependent variable and x is the independent variable.
According to the problem, you know that your car gets 20 miles per gallon. The number of miles traveled varies directly with the number of gallons of gas the tank holds.
Then, you can write the following direct variation equation that represents the situation:
y: The number of miles traveled
x: the number of gallons of gas the tank holds.
k: 20 (Because your car gets 20 miles/gallon)
Then:
[tex]y=20x[/tex]
phil sat a history test and a geo test
history test he got 28/40
geo test he got 39/60
in which test did he do better ?
show working
Answer:
he did better in his History test
Step-by-step explanation:
40-28 gives you 12 marks he lost
whereas
60-39 gives you 21 makes he lost
therefore he done better in his history test the he did in his geo test because he lost more marks in his geo test then her did in his history test
Make the denominators same
take LCM of 40 and 60
120
[tex]\frac{28*3}{40*3}\\\frac{84}{120} \\\\\frac{39*2}{60*2} \\\frac{78}{120}[/tex]
Phil did better in this history test
in mrs. wallace class's science class, 1/2 of the students are boys. Of the boys , 1/8 are left- handed. what fraction of the students in Mrs wallace science class are left handed
Answer:
1/16 of the class are left handed boys but we do not know the amount of left handed girls so we cannot be sure.
Step-by-step explanation:
1/2 * 1/8 = 1/16
there is still no way to be sure of how many girls are left handed so you should probably make a note by the problem so the mistake on the test will be realized
By multiplying the fractions, we find that 1/16 of the students in Mrs. Wallace's science class are left-handed boys.
Explanation:To solve this problem, we first need to understand that it involves fraction multiplication. We know that 1/2 of the students in Mrs. Wallace's science class are boys. Out of these boys, we know that 1/8 of them are left-handed.
When you want to find out a certain amount out of a fraction, you multiply fractions. In this case, 1/2 (the number of boys in class) times 1/8 (the fraction of boys who are left-handed) gives us 1/16. Therefore, 1/16 of the students in Mrs. Wallace's science class are left-handed boys.
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max is making a rectangular garden with a length that is 5 feet less than twice its width. if the perimeter of the garden is 80 feet, find the dimensions. and show work
Answer:
Step-by-step explanation:
l=2w-5
2(l+w)=80
l+w=40
2w-5+w=40
3w=45
w=15 feet
l=25 feet.
the width is 15 feet and length is 25 feet.
You must show all steps and provide any evidence needed in your solution to receive full credit.
4. The company is building a scale model of the theater’s main show tank for an investor's presentation. Each dimension will be made one eight of the original dimension to accommodate the mock-up in the presentation room. What is the volume of the smaller mock-up tank?
5. Using the information from #4, answer the following question by filling in the blank: The volume of the original main show tank is ____% of the mock-up of the tank.
Answer:
4) Volume model = 1723 ft³
5) The percentage of the original tank is 51200% of the mock-up
Step-by-step explanation:
4) ∵ The volume of the main tank is 882,158 ft³
∵ The dimension of the scale model is 1/8 of the original model
∵ V model/v original = (dimension model/dimension original)³
∴ Volume model/882,158 = (1/8)³
∴ Volume model = (1/512) × 882,158 = 1722.965 = 1723 ft³
5) The percentage of the original tank is
(882158/1722.965) × 100% = 51200%
Final answer:
The volume of the scale model tank is 1/512 of the original tank's volume, which is approximately 0.1953125%. The original tank's volume is 51200% of the scale model's volume.
Explanation:
Step-by-Step Solution for Volume of Scale Model Tank
Let's denote the original dimensions of the theater's main show tank as length L, width W, and height H. Therefore, the original volume V of the tank is V = L \times W \times H.
For the scale model, each linear dimension is scaled down to one eighth of the original. Thus, the dimensions of the model will be L/8, W/8, and H/8.
Now, the volume of the scale model V_{model} can be calculated as:
The volume of the scale model is 1/512 or about 0.1953125% of the original tank's volume.
Percentage Volume of Original Tank to Mock-up Tank
To find out what percentage the original volume is of the mock-up tank, we can set up a proportion.
The original volume is 51200% of the mock-up of the tank.
The button on Monica's shirt has a radius of 1 centimeter. What is the button's diameter?
radius(r)=1cm
answer:-
diameter(d)=2r=2cm
Answer:
diameter = 2cmStep-by-step explanation:
A diameter is two times longer than a radius. Therefore, if the radius r = 1cm, then the diameter d = 2(1cm) = 2cm.
Ian ran a total of 6 miles around his school track. Each lap around the track is 3/4 mile. What math expression can be used to find the number of laps Ian ran? How many laps did he run?
Answer:
The answer is 8
Step-by-step explanation:
Nina knows that the average of the x-intercepts represents the line of symmetry for a quadratic function through the x-axis. Which equation represents the average of the x-intercepts for f(x) = 4x2 – 24x + 20? = –3 = –4 = 3 = 4
Answer:
To get the x-intercepts of the function, f(x) = 4x2 – 24x + 20
It has to be equated to zero and the values of x are the x-intercepts. So,
4x2 – 24x + 20 = 0
The resulting equation is a quadratic equation which can be solved by different methods. The solution is
x = 5, 1
The average therefore is:
(1+5/)2 = 3
The equation that represents the average of the x-intercept is 3.
Option C is the correct answer.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example:
2x + 4 = 9 is an equation.
We have,
f(x) = 4x² - 24x + 20
x-intercept is f(x) = 0.
Now,
4x² - 24x + 20 = 0
4(x² - 6x + 5) = 0
x² - 6x + 5 = 0
x² - (5 + 1)x + 5 = 0
x² - 5x - x + 5 = 0
x(x - 5) - 1(x - 5) = 0
(x - 1)(x - 5) = 0
x = 1 and x = 5
The average of x-intercept.
= (1 + 5)/2
= 6/2
= 3
Thus,
The average of the x-intercept equation is 3.
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need help asap!!! plzz
What is 75% of 240?
(A)150
(B)60
(C)165
(D)180
Answer:
D) 180
Step-by-step explanation:
Keep in mind to properly use a percent you must set it to a decimal.
To do so simply move the . in 75. over to the left 2 times. Which will go to .75!
Now time to multiply 240 by .45.
240 x .45 =180
Answer:
D 180
Step-by-step explanation:
75/100*240=180
Which expression gives the measure of ACE in the diagram below
Answer:
B
Step-by-step explanation:
There are 2 secant lines intersecting a circle. We can use far arc - near arc formula to find this.
Let far arc be arc AE, and near arc be arc BD. So the theorem tells us:
Measure of Angle C = half of the difference of far arc - near arc
so we can say:
∠ACE = half of (arc AE - arc BD)
or
∠ACE = [tex]\frac{1}{2}(172-58)[/tex]
Option B is right.
Answer:b
Step-by-step explanation:
Find the solution to the system of equations. You can use the interactive graph below to find the solution. { y = x − 4 y = 4 x + 2 ⎩ ⎪ ⎨ ⎪ ⎧ y=x−4 y=4x+2 x = x=x, equals
The solution to the system of equations y = x - 4 and y = 4x + 2 is found by setting the two equations equal to one another and solving for x and y. The solution is (-1.5, -5.5).
Explanation:The solution to the system of equations can be found by setting the two equations equal to each other, as they are both equal to y.
Equation 1: y = x - 4
Equation 2: y = 4x + 2
To find the point of intersection, set the two equations equal to each other: x - 4 = 4x + 2. Solve this for x to get that x = -1.5. Then, substitute x = -1.5 into one of the original equations to solve for y. If we use Equation 1, we get that y = -1.5 - 4 = -5.5. Therefore, the solution to the system of equations is (-1.5, -5.5).
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The solution to the system of equations is [tex]\(x = -2, y = -6\)[/tex]. The point of intersection is [tex]\((-2, -6)\)[/tex].
The solution to a system of equations is the point where the graphs of the two equations intersect.
1. Set the Equations Equal to Each Other:
[tex]\[ x - 4 = 4x + 2 \][/tex]
2. Solve for x:
[tex]\[ -3x = 6 \][/tex]
[tex]\[ x = -2 \][/tex]
3. Substitute x back into one of the original equations to find y
[tex]\[ y = -2 - 4 = -6 \][/tex]
So, the solution to the system of equations is [tex]\(x = -2, y = -6\)[/tex]. The point of intersection is [tex]\((-2, -6)\)[/tex].
QUICKLY !!!
What is the image of (-5,8) after a reflection over the y-axis?
Answer:
red is the reflection ,black is (-5,8)
Step-by-step explanation:
Answer:
the image of (-5,8) after a reflection over the y-axis is (5,8)
Step-by-step explanation:
the image of (-5,8) after a reflection over the y-axis
When a point is reflected over y axis, then the value of x changes to -x.
the value of y remains the same.
If (x,y) is reflected over y axis , then it becomes (-x,y)
The point (-5,8) after reflection over y axis it becomes (-(-5),8) that is (5,8)
the image of (-5,8) after a reflection over the y-axis is (5,8)
!!~~I RAISED THE POINTS AND WILL GIVE BRAINLIEST ITS ALSO MULTIPLE CHOICE~~!!
which describes the type of sequence in 99, 89.9, 78.8, 68.7, . . . . . ?
a) neither geometric nor arithmetic
b) geometric
c) arithmetic
d) both arithmetic and geometric
(pLeAsE TelL mE wHY yOu PIcKeD YoUr AnSwER)
Answer:
a) Neither arithmetic nor Geometric
Explanation:
Since 99-89.9= 9.1, and 89.9 - 78.8 = 11.1, the sequence is not arithmetic.
Like wise 89.9/99=0.908 and 78.8/89.9 = 0.876 makes it not a geomtric sequence
Step-by-step explanation:
Answer: Option 'a' is correct.
Step-by-step explanation:
Since we have given that
99, 89.9, 78.8, 68.7, . . . . .
Here,
[tex]a_1=99\\\\a_2=89.9\\\\a_3=78.8\\\\a_4=68.7[/tex]
But we can see that there is minor difference between the consecutive terms:
So, we will go for common difference whether it is same or not.
[tex]a_2-a_1=89.9-99=-9.1\\\\a_3=a_2=78.8-89.9=-11.1\\\\a_4-a_5=68.7-78.8=-10.1[/tex]
Their difference are not common.
So, It is neither geometric nor arithmetic.
Hence, Option 'a' is correct.
Which transformation will always map a parallelogram onto itself? A. a 90° rotation about its center B. a reflection across one of its diagonals C. a 180° rotation about its center D. a reflection across a line joining the midpoints of opposite sides
Answer:
C. a 180° rotation about its center.
Answer:
The correct answer option is C. a 180° rotation about its center.
Step-by-step explanation:
We are to determine whether which of the transformations will always map a parallelogram onto itself.
We know that a parallelogram has a rotational symmetry of 2 so during a rotaion of 360 degrees, a parallelogram maps onto itself twice, which is at 180^{\circ} and 360^{\circ} about its center.
Therefore, the correct answer option is C. a 180° rotation about its center.
How many yards long is John's new surfboard if it is 7 feet long
A) 2 1/3
B) 2 2/3
C) 4 yards
D) 21 yards
Answer:
A)
Step-by-step explanation:
The first group collected 238 cans. The second group collected 345 cans. How many cans did the two groups collect?
Answer:
The two groups collected 573.
Step-by-step explanation:
238
+345
=
573
Will give brainly
ABCD =JKLM
What side in the second quadrilateral corresponds to AD?
Jk
Kl
LM
JM
Answer:
JM
Step-by-step explanation:
If it is equal to each other than all you do is look at what it will be like for the other one.
A is at the beginning and D is at the end.
J is at the beginning and M is at the end.
JM is your answer.
Answer:
JM corresponds to AD.
Step-by-step explanation:
Look at their relative positions in the 2 names.
A and D are the first and last letters.
So the answer is JM because they are the first and last letters in JKLM.