Answer:
x=y-2
y=x-2
Step-by-step explanation:
Eli is now one quarter of his father’s age. In 5 years’ time his age will be one third of
his father’s age. How old is Eli now?
Answer:
10
Step-by-step explanation:
This is because 10×4=40
10+5=15
40+5=45
45/15=3
Answer:
Step-by-step explanation:
Let E and F represent Eli and his Father's current ages.
We are told that E = (1/4)F. ["Eli is now one quarter of his father’s age"]
But in 5 years, that will be:
(E+5) = (1/3)(F+5) ["In 5 years’ time his age will be one third of
his father’s age"]
-------------
We have two equations and two unknowns. Find a way to eliminate one of the two variables and then solve for the remaining variable.
E = (1/4)F
(E+5) = (1/3)(F+5)
It seems to me the easiest would be to use the first equation's definition of E [=(1/4)F] in the second equation:
(E+5) = (1/3)(F+5)
((1/4)F+5) = (1/3)(F+5)
(1/4)F - (1/3)F = (1/3)*5 - 5
F - (4/3)F = (4/3)*5 - 20
-(1/3)F = (20/3) - (60/3)
-(1/3)F = (-40/3)
F = (120/3)
F = 40 years
E = 10 years (based on E = (1/4)F)
====
In five years: F is 45 and E is 15, which would make Eli 1/3 of his father's age in 5 years.
Which variable expression represents the following word phrases?
6 more than four times a number
A: 4n-6
B: 6-4n
C: 6+4n
D: 6>4n
Answer:
6+4n
Step-by-step explanation:
Mathematics 13 don’t understand
Answer:
1/6^3
Step-by-step explanation:
The applicable rules of exponents are ...
a^-b = 1/a^b
(a^b)(a^c) = a^(b+c)
__
Your expression can be simplified as follows:
[tex]\dfrac{6^{-5}}{6^{-2}}=\dfrac{1}{(6^{-2})(6^5)}=\dfrac{1}{6^{-2+5}}=\boxed{\dfrac{1}{6^3}}[/tex]
_____
Additional comment
If you think of an exponent as signifying repeated multiplication, the rules of exponents may be easier to remember. The exponent tells you how many times the base is a factor in the product.
Consider multiplication:
[tex](x\cdot x\cdot x)\cdot(x\cdot x)=x^3\cdot x^2=x^{3+2}=x^5\\\\(x\cdot x\cdot x)\cdot(x\cdot x\cdot x)=(x^3)^2=x^{3\cdot2}=x^6[/tex]
Consider division:
[tex]\dfrac{x\cdot x\cdot x}{x\cdot x}=x\quad\Longleftrightarrow\quad\dfrac{x^3}{x^2}=x^{3-2}=x^1\\\\\dfrac{x\cdot x}{x\cdot x\cdot x}=\dfrac{1}{x}\quad\Longleftrightarrow\quad\dfrac{x^2}{x^3}=x^{2-3}=x^{-1}[/tex]
This may help you see that a positive exponent in the denominator is equivalent to a negative exponent in the numerator (and vice versa).
PLEASE HELP I BEG IMMA FAILLLLLLLLL
An isosceles triangle has two sides that measure 5.6 in. and a side that measures 4.2 in. If the triangle is enlarged such that the two sides measure 20 in, what is the length of the third side?
Answer:
15
Step-by-step explanation:
If the bigger triangle has the two congruent sides measuring 20, then the ratio of the bigger to the smaller is 20/5.6 This means that the ratio between the third side of the bigger to the third side of the smaller is 20/5.6
Setting a ratio:
20/5.6=x/4.2
Cross multiplying: 84=5.6x
x = 84/5.6 -->12/0.8 --> 15
x = 15
Suppose that $2000 is loaned at a rate of 12%, compounded semiannually. Assuming that no payments are made, find the amount owed after 3 years
Do not round any intermediate computations, and round your answer to the nearest cent.
The total amount owed after three years is $2,837.04.
The formula that can be used to determine the total amount owed after 3 years is:
FV = A(1 + r/m)^nm
FV = Future value of debt A = amount borrowed R = interest rate = 12/2 = 6% m = number of compounding = 2 N = number of years = 3$2000 x (1.06)^6 = $2,837.04
To learn more about future value, please check: https://brainly.com/question/18760477
The circumference of a circle, C, is directly proportional to the length of its radius, r. Write down a formula,using k, connecting the circumference of the circle and the length of its radius.
The proportional relationship connecting the circumference of the circle and the length of its radius is:
[tex]C = kr[/tex]
What is a proportional relationship?A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:[tex]y = kx[/tex]
In which k is the constant of proportionality.In this problem:
The output is the circumference of the circle.The input is the radius of the circle.Hence, the formula is:
[tex]C = kr[/tex]
You can learn more about proportional relationships at https://brainly.com/question/25815502
how i can answer questions
Answer:yes
Step-by-step explanation:press answerr
what is a2? ai + 1=ai +1 a0=0 ?
If a₀ = 0, and [tex]a_{i + 1} = a_i + 1[/tex], then
a₁ = a₀ + 1 = 0 + 1 ⇒ a₁ = 1
and
a₂ = a₁ + 1 = 1 + 1 ⇒ a₂ = 2
i hope it helped you :P
it was easyy!!!
SOMEONE HELP ON QUESTION #13 pleasseeee
Answer:
You would have to do 51 - 16 to find out the total amount of money Vicky spent on scented soaps. 51 - 16 = $35. You then divide by the number of items. In this case, it is 10 scented soaps. 35/10=3.5. She spent $3.50 on each soap.
Step-by-step explanation:
Hope this helps!
Brainliest please!
4. Harry is going to send some flowers to his wife. Summerfield Florist charges $1 per rose, plus
$39 for the vase. Grayson’s Flowers, in contrast, charges $3 per rose and $15 for the vase. If
Harry orders the bouquet with a certain number of roses, the cost will be the same with either
flower shop. How many roses would there be? What would the total cost be?
The number of roses purchased will be; 12 roses
The total cost of the bouquet is; $51
Let number of roses be x
For Summerfield florists;
At $1 per rose and $39 for the vase, cost is;
C = x + 39
For grayson's flowers;
At $3 per rose and $15 for the vase,total cost is;
C = 3x + 15
We are told when he orders a certain number of roses, the cost will be the same with each flower shop.
Thus;
x + 39 = 3x + 15
3x - x = 39 - 15
2x = 24
x = 24/2
x = 12
Total cost is;
C = 12 + 39
C = $51
Read more about cost functions at; https://brainly.com/question/19300938
I need help with this
Answer:
Slope: Greater for Function A
Y-intercept: Same for both
Step-by-step explanation:
Slope: The easier way would be to just graph where we get a slope of -6 for Function A and a slope of -4 for Function B. Making Function A to have a greater slope
Y-intercept: Easy, we know x=0 in the y-intercept. They both have (0,3) where x=0 meaning both their intercepts are equal
Hope this helps :)
Answer:
The slope is greater for function A and the y-intercepts are the same.
Step-by-step explanation:
The slope for function A :
= (3-0) / (0 - (0.5)
= 3 / -0.5
= -6.
The y-intercept occurs when x = 0 so:
So the y-intercept is at (0,3)
The slope for function B :
= (3-7) / (0 - (-1)
= -4.
The y-intercept occurs when x = 0 so:
So the y-intercept is at (0,3)
What is the domain of the following function?
Answer:
third option (-3,3,5,9)
Step-by-step explanation:
domain is the starting point of the set (x coordinate )
I WILL GIVE BRAINLYEST IF YOU GIVE CORRECT ANSWER Solve for x:
A.
B.
C.
D.
Answer:
C
Step-by-step explanation:
what times what will give 540
Answer:
There are many:
10*54
5*108
2*270
4*135
And more
Step-by-step explanation:
2, 5, 2, 3, 3, 3
These are the multiplies of 540 you can just multiply and they always get you the same solution: 540
Hope this helps!
Someone help pls and explain it if you can pls
the answer is: y = 3x + 1
P/s: i can't see the picture clearly but the answer is not A or C
ok done. Thank to me :>
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
14. Write an equation for the line parallel to the given line that contains C.
C(3,8); y = - 4x + 1
Answer:
The answer should be y= -4x + 20.
How was
Figure A transformed
to become Figure A"?
A"
}
1.[
?
]
2.[
1
Dilate
Reflect
Answer:
reflect
Step-by-step explanation:
dilate means bigger or smaller than the original.
pls answer quickly
which customary unit would be most appropriate to weigh an Apple
A) metric tons
B) tons
C) ounces
D) kilograms
Answer:
Ounces
Step-by-step explanation:
Metric tons and tons is too much while kg is too little.
Answer:
its ounces
Step-by-step explanation:
when we simplify (ab + 3c)^2 we get
Answer:
a^2b^2+6abx+9c^2
Step-by-step explanation:
(a + b)2 = a2 + 2ab + b2
(ab+3c)^2=(ab)^2+2ab*3c+(3c)^2
Hey there!
(ab + 3c)^2
= (ab + 3c)(ab + 3c)
DISTRIBUTE
= ab(ab) + ab(3c) + 3c(ab) + 3c(3c)
= a^2 b^2 + 3abc + 3abc + 9c^2
COMBINE the LIKE TERMS
= a^2 b^2 + 6abc + 9c^2
Therefore, your answer is:
a^2 b^2 + 6abc + 9c^2
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Please help me due in 2 mins!!! Use the picture below to help you answer the question!!!
With two of the angles fixed on ADEF, what do you notice about the shape of ADEF when compared with ABC?
Answer:
Step-by-step explanation:
u notice that the letters are different from each other
Find the surface area of a box of length 6 cm, width 5 cm, and height 4 cm.
Answer:
It would i feel like its 132
Step-by-step explanation:
[tex]\sf -9(8-2h)[/tex]
Answer:
[tex] - 9(8 - 2h) \\ by \: distributive \: property \\ = - 9 \times 8 - ( - 9) \times ( - 2h) \\ = - 72 - 18h[/tex]
Answer:
[tex]-72+18h[/tex]
Step-by-step explanation:
[tex]-9(8-2h)[/tex]
[tex]\mathrm{Multiply}-9\:\mathrm{to\:the\:values\:in\:the\:parenthesis}[/tex]
[tex]-9(8-2h)[/tex]
[tex]-9\cdot8=-72[/tex]
[tex]-9\cdot-2=18[/tex]
[tex]=-72+18h[/tex]
Solve the system of linear equations by substitution: (SHOW UR WORK)
y=-x
y=3x-4
Answer:
1
Step-by-step explanation:
What you can do is do [tex]3x-4=-x[/tex]
-4=-4x
x=1
CHECK:
[tex]3-4=-1[/tex]
[tex]-1=-1[/tex]
Solve 7 ax + 8 ax = 9 ax + 6 for x. Assume a + 0.
Greg has only nickels and dimes in his money box. He knows that he has more than $10 in the box. Let x represent the number of nickels in the box and y represent the number of dimes in the box. Which of the following statements best describes the steps to graph the solution to the inequality in x and y? (5 points)
a
Draw a dashed line to represent the graph of 5x + 10y = 1000, and shade the portion below the line for positive values of x and y.
b
Draw a dashed line to represent the graph of 5x + 10y = 1000, and shade the portion above the line for positive values of x and y.
c
Draw a dashed line to represent the graph of 10x + 5y = 1000, and shade the portion above the line for positive values of x and y.
d
Draw a dashed line to represent the graph of 10x + 5y = 1000, and shade the portion below the line for positive values of x and y.
Answer: Draw a dashed line to represent the graph of , and shade the portion above the line for positive values of x and y
Step-by-step explanation: Let
x------> the number of nickels in the box
y------->the number of dimes in the box
we know that
so
Multiply by both sides
-----> inequality that represent the situation
The solution of the inequality is the shaded area above the dashed line for positive values of x and y
The equation of the dashed line is
therefore
the answer is
Draw a dashed line to represent the graph of , and shade the portion above the line for positive values of x and y
120% of what number is
54?
Answer:
45
Step-by-step explanation:
(THE ULTIMATE QUESTION)solve one step equation (will also give Brainliest)
1. 3x = -18
2.x/4 = 16
3.-9x = 45
4.x + 8 = -10
5.-3x = -9
6.x/-2 = -3
Answer:
1 = --6
2 x=64
3 x= --5
4 x= --18
5 x=3
6 x=6
Step-by-step explanation:
GIMME BRANlIEST PLZZZ
What is the coefficient in this expression? (34mn)
34
3
n
4
The coefficient in this expression is 34.
The first option is the correct answer.
What are variables and coefficients?The variable can have any value. That is, you can change the value of the variable. The value of the coefficient does not change, but changes in the value of the variable can change the value of the term containing the variable and the coefficient.
In formulas, coefficients are constants that are multiplied by variables. Consider the following equation: 3 x 2 + 5x-3 = 0. ax3 + x 2 = z. The values 3 and 5 in the first equation are the coefficients of the variable x.
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