the ratio of zoes money to yolansa's is 3:7. Yolanda has $64 more than Zoe. If Yolanda gives (1)/(4) to zoe what is the new ratio of zoes money to yolanda
New Ratio = 19:21
This deals with ratios, fractions and basic arithmetics'.
The ratio of money of zoe to yolansa's own is 3:7.Thus, the total part for each of them will be;
Zoe; 3/10
Yolansa; 7/10
If the total money they both have is x, then they will have;Zoe; 3x/10
Yolansa; 7x/10
Now,Yolanda has $64 more than Zoe. Thus;[tex]\frac{7x}{10}[/tex] - [tex]\frac{3x}{10}[/tex] = 64
Simplifying this gives;
[tex]\frac{4x}{10}[/tex] = 64
Rearranging gives;
4x = 640
x = 640/4
x = $160
Thus, originally;
Yolanda has [tex]\frac{7}{10}[/tex] × 160 = $112
Zoe has [tex]\frac{3}{10}[/tex] × 160 = $48
Yolanda now gives [tex]\frac{1}{4}[/tex] of her money to Zoe.
Thus, she gives out [tex]\frac{1}{4}[/tex] × 112 = $28
Thus,
Zoe now has; 48 + 28 = $76
Yolanda now has; 112 - 28 = $84
New ratio of zoes money to yolandas money is;76:84
Simplifying this ratio gives;
19:21
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We are required to find the new ratio of zoes money to yolanda
the new ratio of zoes money to yolanda is 19:21
Ratio of zoes money to Yolanda's = 3:7.
Zoes = 3
Yolanda = 7
Total ratio = 3 + 7 = 10
let
x = Total money
Zoes = 3/10
Thus, the total part for each of them will be;
Zoe= 3/10x
Yolanda = 7/10x
Yolanda has $64 more than Zoe.
Therefore,
7/10x - 3/10x = 64
(7x - 3x) / 10 = 64
4x/10 = 64
cross product
4x = 64 × 10
4x = 640
divide both sides by 4
x = 640/4
x = $160
Original share:
Zoe = 3/10x
= 3/10 × 160
= 0.3 × 160
= $48
Yolanda = 7/10x
= 7/10 × 160
= 0.7 × 160
= $112
If Yolanda gives 1/4 to zoe
= 1/4 of 112
= 1/4 × 112
= 0.25 × 112
= $28
New Zoe's share = $48 + $28
= $76
New Yolanda's share = $112 - $28
= $84
Their new ratio = 76 : 84
divide by 4
= 19 : 21
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What digit occupies the tens places in the number 438,691
Answer:
9
Step-by-step explanation:
9 is in tens places muah kiss me
URGENT
Can someone please convert the equation below into a logarithmic function?
Answer:
Step-by-step explanation:
y = [tex]e^{.4t}[/tex]
ln y = .4t
two numbers have a sum of 25. if one number is x, represent the other number as an expression in x
write as a algebraic expression plz like asap
Answer:
x+n
Step-by-step explanation:
The expression for another number will be 25 - x.
What is an expression?An expression is a combination of some mathematical symbol such that arithmetic operator and variable such that all are constrained and create an equation.
In other meaning, expression is very useful to determine the end or root value of constraint.
For example 3x +5y
The constraint of expression is represented as = or <, >.
Let's say another number is y
Then,
Sum of both number
x + y = 25
y = 25 - x
Hence "The expression for another number will be 25 - x".
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If DE = X+1, EF = x-2, DF =15, and E is
between D and F. then DE = ?
Answer:
X =8
Step-by-step explanation:
DF = DE + EF
15 = X+1 + X-2
16 = 2X
X = 8
Translate the following statement into an equation and solve for x
Answer:
104 = -13 x -8
Step-by-step explanation:
The reason you got it wrong is, I'm assuming, because of the way you formatted it. Try this and see if it works.
The difference of a number divided by 2 and six is the same as -12
Andy starts a business with $168 000 as capital. Six months later, Billy joins Andy with a capital of $144 000. One month after that, Calvin joins them with a capital of $324 000. At the end of the first year, the profit is $40 000. How much do Andy, Billy and Calvin get if their shares are in proportion to their investments?
Answer:
Above is the answer for this question. Thank you!
In the diagram, figure 1 is the pre-image. Label figures 2, 3, and 4 with the type of transformation used to create each figure.
Answer:
Label figures 2, 3, and 4 with the type of transformation used to create each figure. Rotation Reflection Translation Dilation
Answer:
2 refliction , 3 rotaion 4 , translation
Step-by-step explanation:
Which step in the construction of copying a line segment ensures that the new line segment has
the same length as the original line segment?
Answer:
The step two in the construction of copying a line segment ensures that the new line segment has the same length as the original line segment.
Step-by-step explanation:
The steps to copy a line segment:
1. Move the compass place to point P.
2. Change the span of the compass to the length of the first line portion (PQ).
3. Move the compass place to R.
4. Draw a bend that meets the line to one side of R.
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Solve the equation. Check your solution.
-4y + =35y-6
Jose originally had a rectangular rug with an area of 4.c? + 72 +3 square feet. He
decided to make a new rug that was smaller than his original rug. The area of the new rug
is 4x2
square feet
Which of the following expressions represents the difference between the area of his old
rug and the area of his new rug?
Answer:
7x + 3
Step-by-step explanation:
old - new =
(4x**2 + 7x + 3) - (4x**2) = 7x + 3
Find an equation for the perpendicular bisector of the line segment whose endpoints are (-1,-7)(−1,−7) and (9,1)(9,1).
Answer:
y = -5/4 - 31/5
Step-by-step explanation:
A: (-1,-7) and B: (9,1)
Slope: (-7-1)/(-1-9) = -8/-10 = 4/5
Slope: 4/5. Point (9,1)
y-1 = 4/5 (x-9)
y-1 = 4/5x - 36/5
y = 4/5x - 36/5 + 1
y = 4/5x - 31/5
Perpendicular bisector = Y = - 5/4x - 31/5
Show that a^5x(a^3)^2 can be expressed as a^11
Answer:
see below
Step-by-step explanation:
a^5*(a^3)^2
We know that a^b^c = a^(b*c)
a^5*a^(3*2)
a^5*(a^6)
We know a^b * a^c = a^(b+c)
a^(5+6)
a^11
Please answer this.
The ratio of Tom's age to his nephew's age is 3:1 . The difference in their ages is 24 years.How old is Tom now?
Answer:
36 years
Step-by-step explanation:
Tom's age : Nephew's age = 3 : 1
Tom's age = 3x
His nephew's age = x
Difference of age = 24 years
3x - x = 24
2x = 24
Divide both sides by 2
x = 24/2
x = 12
Tom's age = 3*12 = 36
the product of any integer and 10, ends in 0.
true or false?
Answer:
false. example: 6 x 10. 6 is an integer, but 6 x 10 = 60, not 0. hope this helps
Step-by-step explanation:
- Zombie
Is 5y + 27 factorable or prime
explain
Answer:
Prime
Step-by-step explanation:
As there is no common between 5y and 7 except 1 as factor.Hence its not factorable4x - 3 = 2x + 5 please heeeeelp
Answer:
x=4
4x - 3 = 2x + 5
-2x +3 -2x +3
-------------------
2x=8
--- --
2. 2
______
x=4
write .0015 in scientific notation please help
0.0015 in scientific notation
= 1.5 × 10-3
1.5×10^3
hope i helped!
what is the value of x ?
Answer:
B). 55
Step-by-step explanation:
125 degree angle and angle x are supplementary.
Answer in image. Explain it too.
Answer:
First one
Step-by-step explanation:
√40 is equal to 2√10, which can also be written as 6 (n) + 4 (given)
Which of the following figures displays an angle bisector?
Given A = {a, b, c}, how many subsets does A have including ∅?
4
7
8
Answer:
8 is the answer
hope this helps you.
work out the number of students at the school
Answer:
1240 students
Step-by-step explanation:
not sure but I'm pretty sure its right.
Compare using <, >, or =.
7 3/8 ___ 6 6/7
>
=
<
Answer:
>
Step-by-step explanation:
because 7 is greater than 6
must be marked as brainlist
For problems 6-9, using the formula net Force
=
6)
a=2 m/s2
8 kg
F = m•a =
Answer:
16 Newton is the answer
Answer:
F=m.a
=8kg.2m/s²
=16kgm/s² ans/
GUYS I NEED HELPPPPPP
PLEASEEEEEEEEEEE IF YOU CAN THEN TYSM
Answer:
198 cubic metres
Steps:
Find the area of cross section
Area if traingle + Area of square
1/2 × 3 × 4 + 4×4
6+ 16
22
Then times with the lenght (9)
22×9
I hope this helps, dont hesitate to ask for any question.
Mark me as brainliest is appreciated.Tq!!
For his birthday, Torin got $25 more from his grandmother than from his cousin. His uncle
gave him $10 less than his cousin. Torin received $291 total. How much did he receive
from his cousin?
Answer:
$92
Step-by-step explanation:
from cousin: x
from grandmother: x + 25
from uncle: x - 10
sum: 291
help pls and thanks!!!
Answer:
y = -3x - 8
Step-by-step explanation:
[tex]y =\frac{1}{3}x+ 2[/tex]
Here slope m = (1/3)
Slope of the perpendicular line = [tex]\frac{-1}{m}[/tex] = -1 ÷ [tex]\frac{1}{3} = -1 *\frac{3}{1}= - 3[/tex]
Slope m1 = -3 and (-3 ,1)
Equation of line:
y -y1 = m(x -x1)
y - 1 = -3(x - [-3])
y - 1 = -3(x + 3)
y - 1 = (-3) *x + 3*(-3)
y - 1 = -3x - 9
y = -3x -9 +1
y = -3x - 8
Answer:
y = - 3x - 8
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{1}{3}[/tex] x + 2 ← is in slope- intercept form
with slope m = [tex]\frac{1}{3}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{3} }[/tex] = - 3 , then
y = - 3x + c ← is the partial equation
To find c substitute (- 3, 1 ) into the partial equation
1 = 9 + c ⇒ c = 1 - 9 = - 8
y = - 3x - 8 ← equation of perpendicular line
two members have a sum of 112. If one number is x, represent the other numbers as an expression in x
Based on the information given, the other number will be 112 - x
Value of the first number = x
Value of the second number = y
Sum of the numbers = 112
Therefore, the value of the second number will be:
x + y = 112
y = 112 - x
In conclusion, the value of the second number is 112 - x.
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