The formula of a midpoint:
[tex]M_{AB}\left(\dfrac{x_A+x_B}{2},\ \dfrac{y_A+y_B}{2}\right)[/tex]
We have:
[tex]M(1.5,\ 1.5)\to x_M=1.5,\ y_M=1.5\\A(5,\ 7)\to x_A=5,\ y_A=7[/tex]
Substitute
[tex]\dfrac{5+x_B}{2}=1.5\qquad|\cdot2\\\\5+x_B=3\qquad|-5\\\\x_B=-2\\\\\dfrac{7+y_B}{2}=1.5\qquad|\cdot2\\\\7+y_B=3\qquad|-7\\\\y_B=-4[/tex]
Answer: (-2, -4)Some people advise that in very cold weather, you should keep the gas tank in your car more than half full. Lou's car had 5.9 gallons in the 13-gallon tank on the coldest day of the year. Lou filled the tank with gas that cost $3.80 per gallon. How much did Lou spend on gas?
Lou spends the total amount would be $26.98 on gas which is determined by subtracting 13 gallons and 5.9 gallons and multiplying the result by $3.80.
What are Arithmetic operations?Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.
* Multiplication operation: Multiplies values on either side of the operator
For example 4*2 = 8
The following information is provided in the problem :
Lou topped up the tank with $3.80 per gallon of petrol.
Lou's car's 13-gallon tank held 5.9 gallons.
If he filled the tank, you can determine the total amount of money Lou spent by subtracting 13 gallons and 5.9 gallons and multiplying the result by $3.80.
So the total amount would be:
⇒ (13 - 5.9)(3.80)
⇒ (7.1)(3.80)
⇒ 26.98.
Therefore, the total amount would be $26.98
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Fuaad solved an absolute value inequality and expressed the solution as -12 < x > 7. What is another way to show Fuaad’s solution?
Solution: The another way to show the Fuaad's solution is [tex]x>7[/tex].
Explanation:
It is given that the solution of an inequality is [tex]-12<x>7[/tex].
It can be break in two parts [tex]-12<x[/tex] and [tex]x>7[/tex].
The inequality [tex]-12<x[/tex] means the values of x is greater than [tex]-12[/tex] and the inequality [tex]x>7[/tex] means the value of x is greater that than 7.
When we combine both results we get [tex]x>7[/tex] it means the value of x is greater than 7.
It can also represented by number line as shown in given figure.
The number line shows the values of x and red lines shows the solution of both inequalities [tex]-12<x[/tex] and [tex]x>7[/tex].
The common region shows the combination of both the possible inequalities, therefore the another way to show the Fuaad's solution is [tex]x>7[/tex].
Answer:
C (btw its x less than 7)
Step-by-step explanation:
Becuase the first option represents that the arrows go separate ways to infin.
the second option states that one variable is greater than of equal to and the other is only <
the third correctly shows and represents the inequality
the fourth one has the OR which means a number that is plugged in only needs to satisfy one of the inequalities which is not the point.
each block in Ton’s neighborhood is 2/3 mile long if he walk 4 1/2 blocks how far does he walk?
if each block is 2/3 miles long, and he walks 4 1/2 blocks, we can simply multiply to two. It looks like this:
(2/3)(4 1/2)
to multiply, make 4 1/2 into an improper fraction and multiply normally
(2/3)(9/4)
Ton walks 3 miles total.
Final answer:
Ton walks a total distance of 3 miles if each block is 2/3 mile long and he walks 4 1/2 blocks by multiplying the length of one block by the number of blocks walked.
Explanation:
The question asks about the total distance Ton walks if each block in his neighborhood is 2/3 mile long and he walks 4 1/2 blocks. To find the total distance, we can multiply the length of one block by the number of blocks walked:
Convert 4 1/2 blocks to an improper fraction: 4 1/2 = 9/2 blocks.
Multiply the length of one block by the number of blocks: (2/3 mile/block) × (9/2 blocks) = (2×9) / (3×2) = 18 / 6 = 3 miles.
Therefore, Ton walks a total distance of 3 miles.
Find the value of x. Then find the measure of each label length.
Need help need the answer fast
Simplify |x| - |-x|.
0
2x
x2
-20=-4×-6× what does x equal
The cost of a hamburger is $2.50. Each additional hamburger costs $2.00. Sully wrote this explicit rule to explain the sequence of costs f(n)2+2.5(n- 1). Using this rule, he found the cost of 12 hamburgers to be $29.50 Is this number correct? If not, identify Sully's error
Yea it correct just plug in 12 where it need to go at in the equation
Answer:
Sully is correct there is no error.
Step-by-step explanation:
Given : The cost of a hamburger is $2.50. Each additional hamburger costs $2.00. Sully wrote this explicit rule to explain the sequence of costs [tex]f(n)=2+2.5(n- 1)[/tex].
To find : Using this rule, he found the cost of 12 hamburgers to be $29.50 Is this number correct? If not, identify Sully's error
Solution :
The cost of a hamburger is $2.50.
Each additional hamburger cost $2.00.
Sully wrote this explicit rule to explain the sequence of costs:
[tex]f(n)=2+2.5(n- 1)[/tex]
To find the cost of 12 hamburgers substitute n=12,
[tex]f(12)=2+2.5(12- 1)[/tex]
[tex]f(12)=2+2.5(11)[/tex]
[tex]f(12)=2+27.5[/tex]
[tex]f(12)=29.5[/tex]
The cost of 12 hamburgers to be $29.50.
Therefore, Sully is correct there is no error.
choose the word that makes the sentence true. The first digit in the quotient 1,875 ÷9
Hi, I'm Jenny from ExperimentsDIYS and I'm here to help you with your math! :)
I am assuming that you need help with question #1 so we will proceed with that one.
Lets first divide 1,875 ÷ 9.
Using a calculator, this is equal to 208.333333333
We can simplify this number by rounding up.
208.33 would be your answer rounded.
The first digit in this quotient ( Which is the answer to a division problem) is using place value.
The decimal place value chart is attached.
The first digit will be in the hundreds place because it is on the left side of the decimal point.
We are ecstatic to help and if there are any more problems or if we got any answers wrong please tell us! Thank you <3
-ExperimentsDIYS
The correct option is c.
The first digit of the result of the division 1,875 ÷ 9 is in the hundreds place
Explanation:Firstly, let's perform the division operation 1,875 ÷ 9 using long division method. The result of this division operation will be 208.333333.. . In this case, the first digit will be in the place that you are asked to identify.
The first digit, '2', is in the hundreds place. It's in this position because it's the first digit to the left of the decimal point. Further to its right, are the ones place (0) and the tenths place (8).
So, the correct option is 'C - hundreds' to fill in the blank for the sentence 'The first digit in the quotient 1,875 ÷ 9 will be in the hundreds place.'
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The complete question is here;
choose the word that makes the sentence true. The first digit in the quotient 1,875 ÷9
Options a. ones b. tens c. hundreds d. thousands
will be in the _______ place.
what is y-value when x equals -12? y =-200 - 6(x)
Plzzz helppp me!!!!!!!!!!!!!
Answer:
a) We can just add Distance from Tulsa to Dallas and distance from Dallas to Houston,
258 + 239 = 497
b) It's the same distance = 497
c) We can tell its the same distance, because we are travelling in the same road, which would mean it would be no different when going to or coming back from Houston.
The price of a television set on sale is $360. This is two thirds of the regular price.find the regular price.
Show work please and answer ASAP ‼️
Josiah traveled 196 miles on 8 gallons of gasoline.At this rate how many gallons of gasoline would he need to travel 343 miles
it is 14 because if you
What’s the answer a picture is attached!!! Please answer
how do I 'simplify the square root of 50xy^2?
the square and the square root should cancel so your left with only 50xy
what are the x and y intercepts of the function f(x)=3x+6
x-intercept = - 2 , y-intercept = 6
to find the intercepts, that is where the graph crosses the x and y axes
• let x = 0, in the equation for y-intercept
• let y = 0, in the equation for x-intercept
x = 0 : y = 0 + 6 = 6 ⇒ (0, 6 ) is the y-intercept
y = 0 : 3x + 6 = 0 ⇒ x = - 2 ⇒ (- 2, 0 ) is the x-intercept
A stadium has 50 comma 00050,000 seats. Seats sell for $3030 in Section A, $2424 in Section B, and $1818 in Section C. The number of seats in Section A equals the total number of seats in Sections B and C. Suppose the stadium takes in $1 comma 288 comma 8001,288,800 from each sold-out event. How many seats does each section hold?
A= B+C
As given, A+B+C = 50000 seats
A+(B+C) = 50000
2A = 50000
A= 25000 seats
Now section A sells seats at $30 each
So, [tex]25000\times30=750000[/tex]
Now, B+C = 25000
B = 25000-C
B sells at $24 and C sells at $18
So, 24B+18C = 538800
Now as section A incurs an amount of $750000 from booking, so B and C will incur 1288800-750000 = 538800 where $1288800 is the total booking amount.
24B+18C = 538800
[tex]24(25000-C)+18C=538800[/tex]
[tex]600000-24C+18C=538800[/tex]
6C = 61200
C = 10200
Now, B = 25000-C
B = 25000 - 10200 = 14800
Hence, section A has 25000 seats
Section B has 14800 seats
Section C has 10200 seats
I need help with a question before my test: how do I tell if a graph has rotational Symmetry if it is not an odd function and do all odd functions have point symmetry??
Answer:
If you know that the function is not odd, you know that the graph does not have rotational symmetry
Step-by-step explanation:
There is a theorem that says: "A function is odd if, and only if, its graph is symmetric with respect to the origin, or it has rotational symmetry in 180 ° with respect to the origin"
This statement is equivalent to:
If a function is odd, its graph has rotational symmetry with respect to the origin
If a graph has rotational symmetry with respect to the origin then the function is odd.
Therefore, it is impossible for the graph to have rotational symmetry with respect to the origin and the function is not odd.
Then, if you know that the function is not odd, you know that the graph does not have rotational symmetry
Which equation applies the associative property of multiplication?
A. −6/7 ⋅ 8/11 ⋅1/3 = 8/11 ⋅ (−6/7) ⋅ 1/3
B. (−1/4 − 5/3) − 3/5 = −1/4 − (5/3 − 3/5)
C. (−7/8 ⋅ 2/5) + (−7/8 ⋅ 3/5) = −7/8 ⋅ (2/5 + 3/5)
D. −5/12 ⋅ (6/5 ⋅ 1/3) ⋅ 9/2 = (−5/12 ⋅ 6/5) ⋅ (1/3 ⋅ 9/2)
The associative property of multiplication means that the way numbers are grouped within parentheses in an operation does not change the result. Looking at the options provided, option D represents this property. The other options represent other mathematical properties.
Explanation:The associative property in mathematics is a property of some binary operations, which means the way numbers are grouped within parentheses in an operation does not change the result. In multiplication, for example, this means that (ab)c = a(bc).
Looking at the options provided one at a time, we see that option D represents this property. The equation −5/12 ⋅ (6/5 ⋅ 1/3) ⋅ 9/2 = (−5/12 ⋅ 6/5) ⋅ (1/3 ⋅ 9/2) allows us to rearrange the numbers within parentheses without changing the product, just as the associative property dictates.
The other options represent other mathematical properties like the distributive property or the associative property of subtraction, not the associative property of multiplication.
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solve for x x−4.76=−7
Quick I need help
x - 4.76 = -7
Add 4.75 to both sides.
x = -2.24
The value of x for the given expression will be equal to -2.24.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
The given expression is x−4.76=−7. The value of x will be calculated as,
x - 4.76 = -7
Add 4.75 to both sides.
x = -2.24
Therefore, the value of x for the given expression will be equal to -2.24.
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A package of ground beef costs $6.98. The price per pound is $3.86. How many pounds of ground beef are in the package? Round to the nearest hundredth.
A. 1.81
B. .27
C. 1.80
D. 1.72
Which of the graphs below represents the equation 8x-y=4
Graph Z
Slope: 8
Y-Intercept: -4
Answer:
Graph X
Step-by-step explanation:
[tex]8x-y=-4[/tex]
To graph the equation we write it in the form of y=mx+b
Subtract 8x from both sides
[tex]-y=-8x-4[/tex]
Divide both sides by -1
[tex]y=8x+4[/tex]
In y=mx+b, m is the slope and b is the y intercept
[tex]y=8x+4[/tex] , slope =8 and b=4
Now make a table , plug in some random number for x and find out y
x y=8x+4
-1 -4
0 4
Two point on graph are (-1,-4) and (0,4)
Graph x is the correct graph
Identify one way to rewrite the expression using the Distributive Property. Expression:2(9+3)
A) (2x9) - (2x3)
B) (2x9)+ (9x3)
C) (2x9) +3
D) (2x9) + (2x3)
How much chocolate will each person get if 3 people share 1/2 lb of chocolate equally?
they will each get 1/6 pound of chocolate. 1/2 divide by 3 = 1/6
[tex]\frac{1}{2}[/tex] divided by 3
[tex]\frac{1}{2}[/tex] / 3
Each person gets [tex]\frac{1}{6} lb. of chocolate
(40 points)
Which expression is equivalent to 3^2 ⋅ 3^−5?
(not giving answer choices for the best result)
Hello, The answer is 90.
because, 3x2 x 3x-5= 90
Find a polynomial function of degree 3 such that f (2) = 24 and x– 1, x and x+ 2
are factors of the polynomial.
f(x) = 3x³ + 3x² - 6x
given the factors of the polynomial , then
f(x) =ax(x - 1)(x + 2) ( a is a multiplier )
to find a use f(2) = 24
f(2) = 2a(1)(4) = 24 ⇒8a = 24 ⇒ a = 3, thus
f(x) = 3x(x² + x - 2) = 3x³ + 3x² - 6x
The polynomial function is [tex]f(x) = 3x^3 + 3x^2 - 6x[/tex].
Given that,
f(2) = 24.And, x– 1, x and x+ 2 represents the factors of the polynomial.Now based on the above information, the calculation is as follows:
f(x) =ax(x - 1)(x + 2)
Here a is a multiplier.
Now
f(2) = 24
f(2) = 2a(1)(4) = 24
8a = 24
a = 3
It can be write as
[tex]f(x) = 3x(x^2 + x - 2)[/tex]
[tex]f(x) = 3x^3 + 3x^2 - 6x[/tex].
Therefore we can conclude that the polynomial function is [tex]f(x) = 3x^3 + 3x^2 - 6x[/tex].
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All the radii of a circle have the same length? True or False
The answer to your question is true
Answer with explanation:
→General equation of circle is :
[tex](x-a)^2+(y-b)^2=r^2[/tex]
having center, (a,b) and radius =r units.
→If the center , of the circle is at Origin (0,0) and have radius equal to r units the equation of circle will be:
x² + y²=r²
Radius= Distance from the center to any point on the circle,which is same for that circle.
⇒So, Yes , With Conformity,All the radii of a circle have the same length is a true Statement.
True
In one week, Altoona, PA, and Bethlehem, PA, Received snowfall every day, Monday through Friday. On which days did Altoona receive over 1 inch more snow than Bethlehem?
Answer:
On Friday Altoona receive over 1 inch more snow than Bethlehem.
Step-by-step explanation:
Consider the provided table.
First convert all the mixed fraction in decimal form.
Monday:
Altoona: [tex]2\frac{1}{4}=\frac{9}{4}=2.25[/tex]
On Monday Altoona received snowfall 2.25 inches
On Monday Bethlehem received snowfall 2.6 inches
Altoona receive Less snow on Monday.
Tuesday:
Altoona: [tex]3\frac{1}{4}=\frac{13}{4}=3.25[/tex]
On Tuesday Altoona received snowfall 3.25 inches
On Tuesday Bethlehem received snowfall 3.2 inches
The difference of 3.25 and 3.2 is 3.25-3.2=0.05
On Tuesday Altoona received over 0.05 inch more snow than Bethlehem.
Wednesday:
Altoona: [tex]2\frac{5}{8}=\frac{21}{8}=2.625[/tex]
On Wednesday Altoona received snowfall 2.625 inches
On Wednesday Bethlehem received snowfall 2.5 inches
The difference of 2.625 and 2.5 is: 2.625-2.5=0.125
On Wednesday Altoona received over 0.125 inch more snow than Bethlehem.
Thursday:
Altoona: [tex]4\frac{3}{5}=\frac{23}{5}=4.6[/tex]
On Thursday Altoona received snowfall 4.6 inches
On Thursday Bethlehem received snowfall 4.8 inches
Altoona receive Less snow on Thursday.
Friday:
Altoona: [tex]4\frac{3}{4}=\frac{19}{4}=4.75[/tex]
On Friday Altoona received snowfall 4.75 inches
On Friday Bethlehem received snowfall 2.7 inches
The difference of 4.75 and 2.7 is: 4.75-2.7=2.05
On Friday Altoona received over 2.05 inch more snow than Bethlehem.
Hence, On Friday Altoona receive over 1 inch more snow than Bethlehem.
A man who is 6 feet tall casts a shadow that is 11 feet long. At the same time, a tree casts a shadow that is 33 feet long. What is the height of the tree?
Set up a proportion:
6 feet over 11 feet long equals x feet over 33 feet long
6/11 = x/33
198 = 11x
x = 18
The height of the tree is 18 feet tall
The height of the tree will be 18 feet.
What are ratio and proportion?A ratio is an ordered set of integers a and b expressed as a/b, with b never equaling 0. A proportional is a mathematical expression in which two things are equal.
A man who is 6 feet tall casts a shadow that is 11 feet long.
At the same time, a tree casts a shadow that is 33 feet long.
Then the height of the tree will be
Let x be the height of the tree.
Then we have
x / 6 = 33 / 11
x = 3 x 6
x = 18 feet
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how many dots will the the sixth figure in the pattern have