We have ( 4x + 3y ) : ( 3x + 4y ) = 24 : 25
[tex]\\ \sf\longmapsto \: \frac{4x + 3y}{3x + 4y} = \frac{24}{25} [/tex]
[tex]\\ \sf\longmapsto \: 25(4x + 3y) = 24(3x + 4y)[/tex]
[tex]\\ \sf\longmapsto \: 100x + 75y = 72x + 96y[/tex]
[tex]\\ \sf\longmapsto \: 100x - 72x = 96y - 75y[/tex]
[tex]\\ \sf\longmapsto \: 28x = 21y[/tex]
[tex]\\ \sf\longmapsto \: \frac{x}{y} = \frac{21}{28} = \frac{3}{4} [/tex]
Hence ,
x : y = 3 : 4[tex]\\ \sf\longmapsto \dfrac{4x+3y}{3x+4y}=\dfrac{24}{25}[/tex]
Use cross multiplication[tex]\\ \sf\longmapsto 24(3x+4y)=25(4x+3y)[/tex]
[tex]\\ \sf\longmapsto 72x+96y=100x+75y[/tex]
[tex]\\ \sf\longmapsto 96y-75y=100x-72x[/tex]
[tex]\\ \sf\longmapsto 21y=28x[/tex]
[tex]\\ \sf\longmapsto \dfrac{x}{y}=\dfrac{21}{28}[/tex]
Cut 7[tex]\\ \sf\longmapsto \dfrac{x}{y}=\dfrac{3}{4}[/tex]
[tex]\\ \sf\longmapsto x:y=3:4[/tex]
i need help with this!!
Answer:
[tex]x<-4[/tex]
Step-by-step explanation:
[tex]8x-4<-36\\\Add\:}4\mathrm{\:to\:both\:sides}\\8x-4+4<-36+4\\\mathrm{Simplify}\\8x<-32\\\mathrm{Divide\:both\:sides\:by\:}8\\\frac{8x}{8}<\frac{-32}{8}\\Simplify\\\frac{8x}{8}<\frac{-32}{8}\\Simplify\\\frac{8x}{x}:x\\\mathrm{Divide\:the\:numbers:}\:\frac{8}{8}=1\\=x\\Simplify\\\frac{-32}{8} \\[/tex]
Apply the fraction rule
[tex]=-\frac{32}{8}\\Divide\\ \frac{32}{8} = x=-4\\x<-4[/tex]
Karen's mother gets a restaurant bill for $25 she has a coupon for 15% off after the discount is applied she adds 20% as a tip what is the total after the discount and tax
Answer:
$25.50
Step-by-step explanation:
with a 15% off coupon she is paying 85% of the $25 bill, which is:
.85 x 25 = 21.25
if she adds a 20% tip on 21.25 then we can do the following:
1.2 x 21.25 to get the total after the discount and with tax:
$25.50
Find the quotion 19.00/
16
Answer:
1.1875
Step-by-step explanation:
19.00/16 is =1.1875
Josiah, Nathaniel and Walden work 7,5, and 3 days respectively on a particular job. If the payment for the job is $216.00, how much did Josiah receive?
$100.80
$72.00
$43.20
$23.20
Solve with elimination:
-2x - 4y = 8
-6x +24 = 12y
Ohh, Elimination Im doing that XD So its
Anwser - No Solution
simplify. rewrite the expression in the form 5^n
(5^-8) (5^-10)
Answer:
5^-18 or 1/(5^18)
Step-by-step explanation:
(5^-8) (5^-10)
= 5^(-8 + -10)
= 5^-18
or 1/(5^18)
I NEED HELP FOR 3 AND 4 PLEASE I GIVE 30 POINTS.
Answer:
Number 3 is 10
Step-by-step explanation:
16+13(10)=146
14(10)+6=146
Answer:
See answer below.
Step-by-step explanation:
# 3 x = number of boxes
$16 + 13x = Tracy cost
$6 + 14x = Brendan cost
The costs are equal.
16 + 13x = 6 + 14x
10 + 13x = 14x
10 = x
#4 First plan second plan
x = number of people at a table x = number of people at a table
y = number of people at a booths y = number of people at a booths
24x + 21y = 270 multiply by 23 ⇔ 552x + 483y = 6210
14x + 23y = 222 multiply by -21 ⇔ -294x - 483y = -4662
258x = 1548
x = 6
Six people at each tables
24 (6) + 21y = 270
144 + 21y = 270
21y = 126
y = 6
Answer: 6 people at each table; 6 people at each booth.
Given Polynomial:
5x-4x^2+3
Solve for x=0
[tex]\huge \rm༆ Answer ༄[/tex]
Plug the value of x as 0 in the given Polynomial ~
[tex] \sf5x - 4 {x}^{2} + 3[/tex][tex] \sf(5 \times 0) - (4 \times 0 {}^{2} ) + 3[/tex][tex] \sf0 - 0 + 3[/tex][tex] \sf3[/tex]Therefore , the equivalent value is 3
Jack was the science Museum in sabotage the recycling plant had an average speed of 26KM/H. Sometime later Aaliyah love traveling in the opposite direction with an average speed of 57KM/H. After Jack had traveled for four hours they were 332KM a part. How long did Aaliyah travel?
CAN SOMEONE HELP ME PLEASE ASAP!?
Answer:
i think its b
Step-by-step explanation:
Topic 1: Translate
The sum of twice a number and 9 is -25."
Answer:
2n + 9 = - 25
Step-by-step explanation:
let the number be n then twice the number is 2n
The sum of 2n and 9 is 2n + 9
the result is - 25 , that is
2n + 9 = - 25
Answer:
x=-17Step-by-step explanation:
The sum of twice a number and 9 is -25."
2x + 9 = -25
2x = -34
x = -17
-----------------------------------------
check
2 * (-17) + 9 = -25
-25 = -25
the answer is good
What is the slope of a line that passes through (2, 4) and (3, 8)
Change 2.33 to a simplified fraction. Round to the nearest hundredth.
Answer: 233.00
Step-by-step explanation: In this case, Rule I applies, so 233/1 (or 233.000) rounded to the nearest hundredth in decimal format is:
help i dont know how to do this !!!!!!!!!!!! for brainlist
Answer:
We can simplify everything to the power of 2:
[tex]8^{x+2} = 2^{3*(x+2)}=2^{3x+6[/tex]
[tex]16^{x+1} = 2^{4*(x+1)}=2^{4x+4[/tex]
As the two equations are equal to each other and they have common bases, their powers must be equal too. We can come up with this equation:
3x+6=4x+4
solve for x
x=2
D (last answer choice)
plug x=2 in and check and you will get 4096=4096
solve the equation using elimination
Answer:
1 1/3
Step-by-step explanation:
you would take 3x+2y=7 and put y=-3x+11 in place of y so it would be 3x+2×-3x+11=7
Your teacher will grade your response to ensure you receive proper credit for your answer.
Explain how to find the degree of a polynomial.
please....help...
Answer:
Step-by-step explanation:
Degree is defined as the highest power of the polynomial function.
The Fundamental Theorem of Algebra states that the polynomial has n roots if the degree of the polynomial is n.
The polynomial function has n roots or zeroes.
Consider a polynomial function
The highest power of the polynomial function is 4.
Therefore, the degree of the polynomial function is 4.
Since, the degree of the polynomial function is 4. Therefore, the polynomial has 4 roots.
The highest power of the polynomial function is known as the degree and the number of roots is equal to the degree.
What is the value of the expression below?
(8+1/8) divided by (2.5+3/4)
2.5
4.875
11.375
26.4
Answer:
2.5
Step-by-step explanation:
(8+1/8) = 8.125
(2.5+3/4) = 2.5 + 0.75 = 3.25
8.125 / 3.25 = 2.5
What is another way to represent 3%?
A) 0.3
B) 3
C) 0.03
D) 3/10
it's C 0.03
0.03= 3%
0.30= 30%
3.00= 300%
can someone plz explain and gimme the answer...
Answer:
The choice two
[tex]5 \sqrt{2} [/tex]
Step-by-step explanation:
[tex] {a}^{2} + {b}^{2} = {c}^{2} \\ {5}^{2} + {5}^{2} = {c}^{2} \\ 25 + 25 = {c}^{2} \\ 50 = {c}^{2} \\ c = 5 \sqrt{2} [/tex]
What is the value of x
Answer:
x = 5
Step-by-step explanation:
Δ EAB and Δ EDC are similar by the AA postulate , so the ratio of corresponding sides are in proportion , that is
[tex]\frac{AB}{DC}[/tex] = [tex]\frac{EA}{ED}[/tex] , substitute values
[tex]\frac{10}{4}[/tex] = [tex]\frac{2x+10}{x+3}[/tex] ( cross- multiply )
10(x + 3) = 4(2x + 10 ) ← distribute parenthesis on both sides
10x + 30 = 8x + 40 ( subtract 8x from both sides )
2x + 30 = 40 ( subtract 30 from both sides )
2x = 10 ( divide both sides by 2 )
x = 5
Fill in the missing numbers to complete the linear equation that gives the rule for this table.
Answer:
y= -10x-24
Step-by-step explanation:
To write the linear equation, first find the slope.
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
Let's pick the first two x and y values as our coordinate points.
(1, -34) (2, -44)
[tex]\frac{-44-(-34)}{2-1} =-10[/tex]
The slope is -10.
Use the point-slope formula to write the equation.
y-y1= m(x-x1)
y-(-34)= -10(x-1)
y+34= -10x+10
y= -10x-24
I HAVE 2 LEFT PLEASE HELP WILL GIVE BRAINLIEST
Dracos invested $125,000 in 2008. Each year its value increased by 5%. Which of the following equations can be used to represent the investment value after x years.
Group of answer choices
f(x)=125,000(1.05)x
f(x)=15(125,000)x
f(x)=125,000(0.85)x
f(x)=85(125,000)x
Answer:
f(x)=125k(1.05)x
Step-by-step explanation:
ommg
ok so every year it increase by 5%, aka 105%
which is 125k*105/100x which is the first one f(x)=125k(1.05)x
if u are not sure than use cross of elinimation
cant be 2nd one cause its not correct
third one ur decreasing
fourth one is just like the 2nd one
PLEASE HURRY!!!!!! WILL MARK BRAINLIEST TO FIRST ANSWER!!!!!!
Which relationship has a zero slope? A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 2, 2, 2, 2. A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 3, 1, negative 1, negative 3. A coordinate plane with a straight line starting at (negative 5, negative 5) and passing through the origin, and ending at (5, 5) A coordinate plane with a straight line starting iat (negative 2, 5) and passing the x-axis at (negative 2, 0), and ending at (negative 2, 5).
Answer:
Step-by-step explanation:
simplify 3^2 x 3^4 x 3^6 A3^10 B3^12 C3^48 D3^0
Answer:
[tex]\boxed{\sf\: B)\:3^{12}}[/tex]
Step-by-step explanation:
[tex]\sf 3^2\times \:3^4\times \:3^6[/tex]
Apply exponent rule:
[tex]\hookrightarrow \boxed{\sf a^b\times \:a^c=a^{b+c}}[/tex]
[tex]\sf 3^2\times \:3^4\times \:3^6[/tex][tex]\sf 3^{2+4+6}[/tex]Add the numbers:
[tex]\sf 2+4+6=12[/tex][tex]\sf \:3^{12}[/tex]________________________________
“ Use what you know about function notation to complete the statements “ PLS HELPP
Step-by-step explanation:
I don't know the options to pick from.
the 2 main possibilities coming to my mind are
y = f(x)
or
(x, f(x)) or (x, y)
there is no specific function coming to mind. the functional values bounce around above and below the x-axis (positive and negative y-values) with not detectable pattern related to the x values.
the other 2 questions can be found directly in the table :
f(3) means f(x) with x=3, and that is -2
and f(x) = -5 is true, when x = 4
Sketch the graph of f(x) = 1/2x + 5
The graph is in the image.
given the line y=-2x - 1 and the point (4,4) find the equation of the line perpendicular to the given line. PLEASE! Helppp
Answer:
(-6,-5)
Step-by-step explanation:
y2-y1
x2-x1
subtract then you get the answer
the number of the students of a school was 640 last year and it is 800 by how many percent is the number increased
Answer:
The number of students would have increased by 25%.
Step-by-step explanation:
Answer:
25% more
Step-by-step explanation:
640 100
800 x
---------------
cross-multiplication = 100*800 = 80000/640 = 125
Question 10
The graph below shows a rational function.
10-
5
-
1
2
3
4
5
6
-3
-6
-5
-4
-2
-5
10-
15+
Select the function that represents the graph.
32+5
A y =
2+1
O
0
B
y =
32+5
2+2
22
с
y =
D
y=2-1
According to it's asymptotes, the function represented by the graph is:
[tex]y = \frac{3x + 5}{x + 1}[/tex]
The vertical asympotes of a function f(x) is the points which are outside the function domain.
In a fraction, they are given by the zeroes of the denominator.In this problem, there is a vertical asymptote at x = -1, which is a zero of the denominator, hence the denominator is x + 1.
The horizontal asymptotes are the values of the function as x goes to infinity.
In this problem, they are given by:
[tex]\lim_{x \rightarrow -\infty} f(x) = -3[/tex]
[tex]\lim_{x \rightarrow \infty} f(x) = 3[/tex]
Hence, the option that satisfies it is:
[tex]y = \frac{3x + 5}{x + 1}[/tex]
To learn more about asymptotes, you can take a look at https://brainly.com/question/16948935.
Write an equation for a line parallel to the line y = 1/3 * x - 4 that passes through (- 3, 2)
Answer:
B. y = 1/3x + 3
Step-by-step explanation:
Answer: I think the answer is B