The value of x in the equation is 364/145
The equation is given as:
[tex]\frac 32x - 5= -\frac 47x + \frac 15[/tex]
Collect the like terms
[tex]\frac 32x + \frac 47x= 5 + \frac 15[/tex]
Take the LCM
[tex]\frac{21x + 8x}{14} = \frac{25 + 1}{5}[/tex]
Evaluate the sum
[tex]\frac{29x}{14} = \frac{26}{5}[/tex]
Cross multiply
[tex]145x = 364[/tex]
Divide both sides by 145
[tex]x = \frac{364}{145}[/tex]
Hence, the value of x in the equation is 364/145
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Kenya uses mental math to find the sum of 235 and 23. She uses 235, 20, and one other number. What is the missing
number?
3
5
35
58
Answer:
3
Step-by-step explanation:
235 + 23
She uses 235, so 23 is left
235 + something + something = 235 + 23
235 + 20 + something = 235 + 23
subtract 235 from both sides
20 + something = 23
20 + something = 20 + 3
the missing number is 3
The missing number is 3.
What is addition?Combining objects and counting them as one big group is done through addition. In arithmetic, addition is the process of adding two or more integers together. Addends are the numbers that are added, and the sum refers to the outcome of the operation.
Given:
Kenya uses mental math to find the sum of 235 and 23.
She uses mental math.
That means,
she breaks the term in simple manner.
And she uses 235, 20, and one other number.
And the other number is 23 - 20 = 3
So, addition,
235 + 23
= 235 + 20 + 3
= 258
Therefore, the required number is 3.
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Help help math math good luck
Use rigid motions to explain whether the triangles in the figure are congruent. Be sure to describe specific rigid motions in your explanation . ( Will Mark Brainliest if answered correctly).
Step-by-step explanation:
I don't really know what demonstrating with rigid motion means, never heard that before. But a method for demonstrating it could be drawing circumferences of radius:
1) R1 = d(O,S)
2) R2 = d(O,J)
3) R3 = d(O,M)
With O being the origin of the reference system.
*Note: d(A,B) means distance between point A and point B
After you've done that you can show that the points S and P are on the same circumference, J and W are on the same circumference (different from the one of S and P), M and D are on the same circumference.
After you've done that you calculate the angle between the points on the same circumference and demonstrating that they are all the same.
Answer:
Step-by-step explanation:
Congruent
Shift right 1 unit and up 5 units
Rotate 90 degrees clockwise about (-1, 2)
Or
just rotate 90 degrees clockwise about (1, -1)
Help!!! I will reward lots of points! QUESTION: At Walmart, 6 apples and 5 oranges cost $11. At Publix, 2 apples and 3 oranges cost $7. Set up a system of two equations which you will solve to find the cost of one apple and one orange. Also step by step
Answer: I do not think this problem is solvable; the cost of apples and oranges at the stores are different
The owner of a small store buys coats for $55.00 each. they sells the costs for $99.00 each. What percent of the purchase price is the sale price?
Answer:
55.56%
Step-by-step explanation:
55/99=.5555555...
.55555...*100=55.555...%
55.56%
Help help help math math math
Answer:
1/4
Step-by-step explanation:
the x decreases by 1 the y decreases by 4
Answer:
-4
Step-by-step explanation:
Solve each system using substitution or additions
(elimination).
-x+2y=-1
5x-10y=6
Answer:
Step-by-step explanation:
L1 -x + 2y = -1
L2 5x - 10y = 6
-x + 2y = - 1 multiply by -1
x - 2y = 1 multiply by 5
5x - 10y = 5 is similar that 5x - 10y = 6
The system has no solution
Find an equation for the perpendicular bisector of the line segment whose endpoints are (−2,−1) and ( − 6 , − 5 ).
Answer:
[tex]y = -x - 7[/tex].
Step-by-step explanation:
Slope of the given line segment:
[tex]\begin{aligned} m_{1} = \frac{(-5) - (-1)}{(-6) - (-2)} = 1\end{aligned}[/tex].
The slope of any line perpendicular to this line segment would be:
[tex]\begin{aligned}m_{2} &= \frac{-1}{m_{1}} = -1\end{aligned}[/tex].
Midpoint of the given line segment:
[tex]\displaystyle \left(\frac{(-2) + (-6)}{2},\, \frac{(-1) + (-5)}{2}\right)[/tex].
Simplifies to get:
[tex](-4,\, -3)[/tex].
Find the equation of the perpendicular bisector in point-slope form and simplify.
[tex]y - (-3) = (-1)\, (x - (-4))[/tex].
[tex]y + 3 = -x - 4[/tex].
[tex]y = -x - 7[/tex].
Triangle DNO has vertices at D(5, 8), N(– 3, 10), and O(– 3, 6). If vertex D is translated 4 units to the right, the best name for Triangle DNO is:
Answer Choices:
a. Scalene
b. Isosceles
c. Equilateral
d. Right
e. none of these
Using distance between two points to find the lengths of the edges of the triangle, the correct option is:
b. Isosceles
The distance between two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], is given by:
[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex]
Vertex D is translated 4 units to the right is (9,8).
The lengths of the edges are:
[tex]DN = \sqrt{(9 - (-3))^2 + (8 - 10)^2} = \sqrt{12^2 + 2^2} = \sqrt{148}[/tex]
[tex]DO = \sqrt{(9 - (-3))^2 + (8 - 6)^2} = \sqrt{12^2 + 2^2} = \sqrt{148}[/tex]
[tex]NO = \sqrt{(-3 - (-3))^2 + (10 - 6)^2} = \sqrt{0^2 + 4^2} = 4[/tex]
Two edges of the same length, hence, it is an isosceles triangle, given by option b.
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Simplify 1.25 (-x -4)
Answer:
-1.25x-5
Step-by-step explanation:
Multiply using Distribution:
1.25(-x-4)
-1.25x-5
My answer can't be simplified anymore, since there isn't any like terms.
A Math book is 6. 15 centimeters. How thick will 21 Math books on a shelf be? A. 130.15 cm B. 129.16 cm. C. 129. 15 cm. D. 128. 16 cm
Multiply:
6.15 x 21 = 129.15
Answer: C. 129.15 cm.
What is 10 1/2 divided by 2 1/4
Answer:
4.666666667 or 4.6_ (repeating decimal)
I want a way to solve such a problem
Answer: please calculate the answer.
Step-by-step explanation:\\ Bro use this formula (sum of all numbers of the question) \ no. of seen numbers.
Arithmetic mean = ( 24+124+243+...) \ 12
Given the function, f(x) = x ^ 2 + 9x , find f(- 7)
POINTS AND BRAINLIEST IF YOU GAVE ME THIS CORRECT!!!
To rent a moving truck for the day, it costs, $33 plus $1 for each mile driven.
a. Write an expression for the cost to rent the truck.
b. You drive the truck 300 miles. How much do you pay?
Answer:
a) x + 33
Step-by-step explanation:
x is the number of miles driven. Therefore, the answer for b is $333
Because it is the miles driven plus 33
A box contains four bags of sugar. The total mass of all four bags is 6 kg. What is the mass of each bag in grams?
given parallelogram EFGH, where EF = 5x + 18, HE = 3x + 4 and the perimeter is 60, which value of GH
Given the perimeter of the parallelogram in the image below is 60, the value of GH will be: 23.
Recall:
Perimeter of a parallelogram = 2(a + b), where a is the side length and b is the base length.Opposite sides of a parallelogram are equal.Given the parallelogram as shown in the diagram below, where:
base (b) = EF = 5x + 18
side (a) = HE = 3x + 4
Perimeter = 60
Plug in the values into the formula:
60 = 2[(3x + 4) + (5x + 18)]
60 = 2[3x + 4 + 5x + 18]
60 = 2[8x + 22]
60 = 16x + 44
60 - 44 = 16x
16 = 16x
1 = x
x = 1
GH = EF = 5x + 18 (equal opposite sides of parallelogram)
GH = 5x + 18
Plug in the value of xGH = 5(1) + 18
GH = 23
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Desmond has 169 square bricks that he is arranging in a row to make a patio. Every row must have to have the same number of bricks. How many bricks are in each row? Describe the shape of the patio
Four tour buses depart the terminal on the same day. The itinerary of the first bus takes 6 days, for the second bus it takes 8 days, for the third bus it takes 10 days, and the fourth bus takes 15 days. Assuming that another tour begins the same day that the bus returns to the terminal, how many days will it take until all four buses return to the terminal on the same day?
Using the least common factor, it is found that it will take 120 days until all four buses return to the terminal on the same day.
Considering their itineraries, the number of days it will take until all four buses return to the terminal on the same day is the lcm of 6, 8, 10 and 15.To find their least common factor, we factor each number by prime numbers, hence:
6 - 8 - 10 - 15|2
3 - 4 - 5 - 15|2
3 - 2 - 5 - 15|2
3 - 1 - 5 - 15|3
1 - 1 - 5 - 5|5
1 - 1 - 1 - 1
Hence, lcm(6, 8, 10, 15) = 2³ x 3 x 5 = 8 x 15 = 120.
It will take 120 days until all four buses return to the terminal on the same day.
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A regular 10-sided polygon has a perimeter of 540 feet. What is
the length of one side?
A.540 feet
B.360 feet
C.270 feet
D.54 feet
Answer:
D. 54 feet
Step-by-step explanation:
One side will be 1/10 of the total length of all 10 sides.
(1/10)(540 ft) = 54 feet . . . length of one side
A sum of $1290 is to be divided between two people in the ratio of 7 to 8. How much does each person receive?
we know that $1290 is to be divided on a 7:8 ratio, so we'll start off by dividing 1290 by (7+8) and give each person accordingly
[tex]1290~~ at~~ 7:8\implies 7\cdot \cfrac{1290}{7+8}~~ :~~8\cdot \cfrac{1290}{7+8} \\\\\\ 7\cdot 86~~:~~8\cdot 86\implies 602~~ :~~688[/tex]
LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Finding missing sides- similar triangles Algebraic practice )
Answer:
x=7.85
Step-by-step explanation:
Give the triangles we know that:
[tex] \frac{cd}{fh} = \frac{de}{hg} = \frac{ce}{gf} [/tex]
Now we can substitute like usual
[tex] \frac{78}{fh} = \frac{117}{54} = \frac{ce}{5x + 1} [/tex]
Now we simplify the fraction in the middle
the middles fraction will =13/6
Therefore:
[tex] \frac{78}{fh} = \frac{13}{6} [/tex]
so 13fh=468
Therefore: fh=36
Now we can use the Pythagorean theorem
so
[tex]gf = \sqrt{ {54}^{2} - {36}^{2} } [/tex]
so gf=18√5
so 5x+1=18√5
so 5x=-1+18√5
so x=7.85
(I'm not too sure about this one tho)
The simplified equation after clearing the decimals is
-12.2 + 2.8w - 8.8 = 1.05w
Answer:
-21=-4w
w=5.25
but you don’t want decimals
so- you round down
w=5
Step-by-step explanation:
You combine like terms, and then make sure your variable is alone, the only way to get it alone from a ”mixed number” is to divide
you do the same thing to both sides
so divde each side by -4
-21/-4 = 5.25
or with it rounded down since it’s under a five
It’s 5 with the decimals removed
i hope this helps
Choose the term from the list that best represents the item in each box:
if y’all just commenting for the points in will literally report yall.
Answer:
1. run
2. rise
3. negative slope
4. positive slope
5. constant of proportionality
6. slope of the line
Step-by-step explanation:
%
Only 30% of the donuts are left in the box after the party. I counted the
donuts and there are 18 donuts left. How many donuts were in the box to
start with?
donuts
Answer:
It's be 60 because 30% of 60 is 18. Hope that helped :)
A café has 60 tables. 35% of the tables have 2 chairs at each table. The remaining 65% of the tables have 4 chairs at each table. How many tables have 4 chairs?
The number of tables with 4 chairs are 39.
We have a café which has 60 tables. 35% of the tables have 2 chairs at each table. The remaining 65% of the tables have 4 chairs at each table.
We have to determine the number of tables having 4 chairs.
What is 10% of 250 ?The 10% of 250 will be -
[tex]\frac{10}{100} \times 250[/tex] = 25
According to question, we have -
Percentage of tables with 2 chairs = 35%
Percentage of tables with 4 chairs = 65%
Total number of tables = 60
Therefore -
Number of tables with 2 chairs = [tex]\frac{35}{100} \times 60[/tex] = 21
Therefore, number of tables with 4 chairs will be = 60 - 21 = 39
Hence, the number of tables with 4 chairs are 39.
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There are 39 tables that have 4 chairs.
i.e. the number of tables with 4 chairs is: 39.
Here, we have to find the number of tables that have 4 chairs, we first need to calculate how many tables have 2 chairs, and then subtract that number from the total number of tables.
Given that 35% of the tables have 2 chairs, we can calculate the number of tables with 2 chairs as follows:
Number of tables with 2 chairs = 35% of 60 tables
Number of tables with 2 chairs = 0.35 * 60
Number of tables with 2 chairs = 21 tables
Now, to find the number of tables with 4 chairs:
Number of tables with 4 chairs = Total number of tables - Number of tables with 2 chairs
Number of tables with 4 chairs = 60 tables - 21 tables
Number of tables with 4 chairs = 39 tables
So, there are 39 tables that have 4 chairs.
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Find the inverse function.
2x + 5
f(x) =
=
4
I need help urgently
Answer:
y=2x-5/2
Step-by-step explanation:
f(x)=(2x+5)/4
y=(2x+5)/4
-----------------
x=(2y+5)/4
2y+5=4*x
2y+5=4x
2y=4x-5
y=4/2x-5/2
y=2x-5/2
Jimmy has 26,387
dollars for every of toys
he sells. how much
money will he make
for 10 toys?
Answer:
263,870
Step-by-step explanation:
Answer:
263,870
Step-by-step explanation:
You have 26,387 then you will multiply it by 10 and you'll get 263,870
Solve for x: x /6−y/3= 1
SHOW WORK
[tex]\dfrac x6 - \dfrac y3 =1\\\\\\\implies \dfrac x6 - \dfrac{2y}6 = 1\\\\\\\implies \dfrac{x-2y}6 =1\\\\\\\implies x -2y =6\\\\\\\implies x =6+2y\\\\\\\implies x = 2(3 +y)[/tex]
Jackson bought 6 basketballs for 72 dollars what was the price per basket ball
Answer:
the answer would be 12 I say this because 72 divied by 6 would equal 12
Answer:
12 dollars
Set up a proportion.
6/72=1/x
Solve by cross-multiplying (my preferred method) and then you will end up with the final answer of x=12.
12 is the answer :)
PLEASE MARK BRAINLIEST!
THANK YOU & HAVE A WONDERFUL DAY :))