Answer:
(101/42, 19/14)
Step-by-step explanation:
Given the following equations
3x+5y=14 ..... 1 * 2
6x-4y=9 ... 2 * 1
__________________
6x+10y=28
6x-4y=9
Subtract
10y+4y = 28 - 9
14y = 19
y = 19/14
Get the value of x
Since 3x+5y = 14
3x+5(19/14) = 14
3x + 95/14 = 14
3x = 14 - 95/14
3x = 101/14
42x = 101
x = 101/42
Hence the solution is (101/42, 19/14)
Hi, I'm new, please can you help me with these math exercises Thank you very much
:3 given the algebraic fraction p (x) 2x2-2x determine its numerical value for x: 3 3x-1 given the algebraic fraction p (xy) - 3xy-y2 + x xy- + determine its numerical value for x- {3 y- {2 p (x, y) part 2: perform the following exercises by factoring a) b8 p4 + b: up3 -12 b7 p2 + 15u2 + b3 p5: b ) 32 p2 -24 p3 + 16 p2 -8 p4: part 3: perform the following equations a) 4x + 5 + 2: 3x-2 + 5b) 2-9x + 6: 2x-4x-6c) 3x-5 + 2: 2 + 4x-3d) bx-5x + 4: 3x + 5x + 2
thank you
Write the expression as an exponent:
5^8 x 25
6^15 x 36
Answer:
a.) 5¹⁰
b.) 6¹⁷
Step-by-step explanation:
a.) 5⁸ × 25
Write 25 in the exponential form with the base of 5.
5⁸ × 5²To calculate product use exponent rule
5⁸+²5¹⁰b.) 6¹⁵ × 36
Similarly, 6¹⁵ × 36
Write 25 in the exponential form with the base of 6.
6¹⁵ × 6²To calculate product use exponent rule.
6¹⁵ + ²6¹⁷Answer:
[tex] \displaystyle {5}^{10} [/tex]
[tex] \displaystyle {6}^{17} [/tex]
Step-by-step explanation:
Question-1:we want to rewrite the following expression as an exponent
[tex] \displaystyle {5}^{8} \times {25}[/tex]
remember that 25 is the square of 5 therefore
[tex] \displaystyle {5}^{8} \times {5}^{2} [/tex]
recall that,
[tex] \displaystyle {x}^{m} \times {x}^{n} = {x}^{m + n} [/tex]
with that law we obtain:
[tex] \displaystyle {5}^{8 + 2} [/tex]
simplify addition:
[tex] \displaystyle {5}^{10} [/tex]
Question-2:likewise Question-1 36 is the square of 6 Thus,
[tex] \displaystyle {6}^{15} \times {6}^{2} [/tex]
similarly apply law of exponent:
[tex] \displaystyle {6}^{15 + 2} [/tex]
simplify addition:
[tex] \displaystyle {6}^{17} [/tex]
hence,
we have written the expression as an exponent
20 POINTS
Find the volume of the prism.
Answer:
v=1/2(13.1+25.4)(17)(15)
v=1/2(38.5)(255)
v=4,908.7 ft³
OAmalOHopeO
Which number line represents the solution set for the inequality 3(8 - 4x) < 6(x - 5)?
Answer:
The answer is B
B) x>3
Sarah wants to print copies of her artwork. At the local print shop, it costs her $1 to make 5 copies and $5 to make 25 copies. How much would it cost Sarah to make 100 copies?
Answer:
$20
Step-by-step explanation:
5 copies cost $1.
25 copies cost $5.
So you have to do 100/5=$20 for 100 copies.
Answer:The answer is 20
Step-by-step explanation:
Solve the inequality. w/-2<8
Answer:
w > -16
Step-by-step explanation:
A salesman receives a salary of 250 a month. To this is added 5/4% of the sales that he makes. what is his pay for a month in which he makes 1500 in sales.
Answer: $268.75
Step-by-step explanation:
First, find the amount he earned from his sales:
5/4% = 1.25% =0.01251500(0.0125) = $18.75
Next, add that to his monthly salary:
$250 + $18.75 = $268.75
Please help
[tex]a { }^{2} + b {}^{2} + 18 \geqslant 6(a - b)[/tex]
Answer:
a²+b²-18greaterthan or equal to 6a-6bi need help plzzzz!!!!!! find the area
Answer:
3
Step-by-step explanation:
Area = 1/4 * √(5(5+2√5)) * a^2
Area ≈387.11
because each bag only covers 150 we need 3 bags
Answer:
area = 387 ft^2
3 bags
Step-by-step explanation:
See the picture below.
The pentagon is made up of 5 congruent triangles. One triangle is shown on the bottom right figure.
The left figure shows half of the triangle. We need to find h, the height of the triangle.
For a regular pentagon, the measure of each interior angle is
(n - 2)180/5 = 108
Half of the angle is 54 deg.
tan A = opp/adj
tan 54 = h/7.5
h = 7.5 * tan 54
h = 10.32 ft
Area of half triangle = bh/2 = 7.5 ft * 10.32 ft/2 = 38.7 ft^2
The pentagon is made up of 5 larger triangles or 10 half triangles.
Area of pentagon = 10 * 38.7 ft^2
Area of pentagon = 387 ft^2
1 bag is good for 150 ft^2.
387 ft^2/150 ft^2 = 2.6
She needs 2.6 bags, so she must buy 3 bags.
Answer: 3 bags
Someone help me with this please
Answer:
4 number
Step-by-step explanation:
16p+32q=1,280
Can someone help me?
Answer:
C
Step-by-step explanation:
its asking for y, on the graph, the line is placed on point 4
Please answer this, I need help
Answer:
For this exercise, we need to add to the $200 the cost of the hours the DJ has been working
If each hour costs 12.50 $ and he worked 8.5 hours, we can just multiply to see the price of their work: 12.5 * 8.5 = $106.25
Now, we can do the sum: 200 + 106.25 = $306.25
Solve each equation. Round to four decimal places.
e^x=8
Answer:
x ≈ 2.0794
Step-by-step explanation:
Given
[tex]e^{x}[/tex] = 8 ( take ln of both sides )
ln [tex]e^{x}[/tex] = ln 8
x lne = ln 8 [ lne = 1 ]
x = ln 8 ≈ 2.0794 ( to 4 dec. places )
Answer:
x ≈ 2.0794
Step-by-step explanation:
[tex] \small \sf \: e {}^{x} = 8[/tex]
Take the natural logarithm of both side of equation
[tex]\small \sf \: In ( e {}^{x} ) = In ( 8 )[/tex][tex] \small \sf \: Use \: In(e {}^{x} ) = x \: to \: simplify \: the \: expression.[/tex]
x = In( 8 )Write the number in exponential form.
x = In(2³)Use In(aⁿ) = n × In ( a ) to transform the expression.
x = 3In( 2 ) ≈ 2.07944Round to four decimal places = 2.0794
The profit when selling 'x' pairs of shoes is P(x)=-4x^2+32x-39. How many pairs of shoes should be sold in order to maximize the profit
Answer: [tex]4[/tex] pairs
Step-by-step explanation:
Given
Profit on selling 'x' pairs of shoes is [tex]P(x)=-4x^2+32x-39[/tex]
Find the derivative of the function to find out the critical points
[tex]\Rightarrow -8x+32=0\\\Rightarrow x=4[/tex]
Thus, for 4 pair of shoes profit is maximize.
Answer:
4 pairs of shoes.
Step-by-step explanation:
a phrase is shown. seven times the sum of a number ,n, and four . which expression represents the phrase ?
Answer: 7(n + 4)
Step-by-step explanation:
I'm not sure how to explain this one, but I'll try:
Seven times the sum of a number, n, and four
7 times n + 4 (sum means addition)
Si el largo de un rectángulo mide el doble del ancho que es "a", ¿cuál es su área?
Answer:
El área es 2 veces el cuadrado del ancho del rectángulo.
Step-by-step explanation:
El área de un rectángulo viene dado por:
[tex] A = a*l [/tex]
En donde:
a: es el ancho
l: es el largo
Si el largo es el doble del ancho:
[tex] l = 2a [/tex]
Entonces el área es:
[tex] A = a*l = a*(2a) = 2a^{2} [/tex]
Por lo tanto, el área es 2 veces el cuadrado del ancho del rectángulo.
Espero que te sea de utilidad!
(iii) If a, b, c are rational numbers, then
a x (b-c) #ax b-ax c. true or false
Answer:
false
Step-by-step explanation:
answer:ab-ac=ab-ac
Il y a 5ans Thomas avait 5 fois l'âge de benoit aujourd'hui Thomas a 3 fois l âge de Benoît quel est l'âge de benoit
Répondre:
Benoit a 10 ans
Explication étape par étape :
Laisser :
Âge de Thomas = x
Benoit age = y
il y a 5 ans :
x - 5 = 5 (y - 5)
x - 5 = 5y - 25 - - (1)
Aujourd'hui :
x = 3y - - (2)
Mettez x = 3y dans (1)
3 ans - 5 = 5 ans - 25
Recueillir des termes similaires
3 ans - 5 ans = - 25 + 5
-2a = - 20
Diviser les deux côtés par - 2
y = 10
a. 65
b. 67
c. 43
d. 23
Which graph represents the function of f(x) = 4x² - 4x -8/2x+2.
Answer:
I think that second option represents the function of f(x) = 4x² - 4x -8/2x+2.
Find the length of the line AB
Answer:
the length would be 12.
Step-by-step explanation:
Answer:
[tex]{ \boxed{ \bf{length = \sqrt{(x _{2} - x _{1}) {}^{2} + {(y _{1} - y _{2}) }^{2} }}}} \\ { \tt{length = \sqrt{ {(5 - ( - 2)) }^{2} + {(7 - 3)}^{2} } }} \\ { \tt{length = \sqrt{65} }} \\ length = 8.06 \: units[/tex]
18 - (-f) = 91 (With work please)
18 - (-f) = 91
Subtracting a negative value changes to addition:
18 + f = 91
Subtract 18 from both sides:
F = 73
Answer:
f = 73
Step-by-step explanation:
Solve for f
18 - ( - f ) = 91
Remove the parantheses and change their sign.18 + f = 91
subtract each side by 1818 - 18 + f = 91 - 18
calculatef = 73
Is (-4, 2) a solution of 4x + 5y <_-7?
Choose 1 answer:
Yes or No
Answer:
no
Step-by-step explanation:
substitute the (x,y) values into the inequality.
4(-4)+5(2) less than or equal to -7
-16+10≤-7
-6≤-7 not a valid answer so ((-4,2) is not a solution
Question 3: use the image and your knowledge of the isosceles triangle to find the value of x
Answer:
72 +72=144
180-144=36
the answer is 36°
The measure of the angle x is 36° obtained by the concept of an Isosceles triangle and interior angle sum.
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
We know an isosceles triangle has two similar sides and angles opposite to the similar side and also measures the same.
So, By the interior angle sum concept,
72° + 72° + x = 180°.
x = 36°.
learn more about triangles here :
https://brainly.com/question/16886469
#SPJ2
Evaluate the expression, m" ifm = 8 and n = 3.
Answer:
512
Step-by-step explanation:
8^3 = 512
.................
Answer:
512
Step-by-step explanation:
Given
[tex]m^{n}[/tex] ( substitute m = 8, n = 3 into the expression
= 8³
= 8 × 8 × 8
= 64 × 8 = 512
What are the steps in order of operations
Show that the equation x^2−4x+y^2+6y+z^2−4=0 represents a sphere, then find its center and radius.
Step-by-step explanation:
here is the answer to thy question. Feel free to ask for more
Tomaz realized that the tip of a second hand on a clock rotates about the center of the clock. He watched the second hand rotate around the center of the clock for 15 seconds. Which describes the rotation he observed?
270 degrees clockwise rotation
90 degrees clockwise rotation
180 degrees rotation
90 degrees counterclockwise rotation
Answer:
Step-by-step explanation:
Second hand on a clock rotates at rate 360 degrees per 60 seconds.
360 degrees - 60 sec
x degrees - 15 sec
90 clockwise rotation (none hand of a clock rotates counter-clockwise :))
Answer:
90 degrees clockwise rotation
Step-by-step explanation:
Which graph represents this system?
y=3
x+y= 4
The drama club had a 'Yard Clean Up' day to earn money for their next production. At the end of the day, they had earned a total of $480. How much money did they have after they subtracted the amount they spent for the trash cans and plastic bags? What other information is needed to solve this problem? 1. The number of yards they cleaned up 2. The cost of the trash cans and plastic bags 3. The number of people who were working 4. The cost of cleaning up one yard
Answer:
2). The cost of the trash cans and plastic bags.
Step-by-step explanation:
As per the details provided, the information regarding 'the cost incurred on buying the trash cans, as well as, plastic bags for the cleanup process' is very necessary to find the money left with the drama club from their earnings. The amount they earned within the day is given and the amount left is being asked in the question post the expenditure of the cans and plastic bags for the cleaning process. To subtract the incurred expense from the total earnings, one will need information regarding the cost of those bags and cans. Thus, option 2 is the correct answer.
