Answer: Maggie is currently 10 years old.
====================================================
Explanation:
M = Maggie's age today
S = Steven's age today
The ratio of their current ages, specifically Maggie's age to Stevens age, is 2:3. So 2/3 = M/S
We can cross multiply to get 2S = 3M and divide both sides by 2 getting S = 3M/2 = 1.5M
So whatever Maggie's age is, we multiply by 1.5 to get Steven's age. This only applies to their current present day ages.
----------------------
In 10 years, Maggie will be M+10 years old and Steven will be S+10 years old.
The ratio of their ages at this point in time is 4:5, so,
4/5 = (M+10)/(S+10)
4(S+10) = 5(M+10) ..... cross multiply
4S+40 = 5M+50
4S-5M = 50-40
4S-5M = 10
4(1.5M) - 5M = 10 .... plug in S = 1.5M
6M - 5M = 10
M = 10
Maggie is currently 10 years old.
----------------------
Extra info:
Use the value of M to find S.
S = 1.5*M
S = 1.5*10
S = 15
So Steven is currently 15 years old.
The ratio of Maggie's current age to Steven's current age is M/S = 10/15 = 2/3 which turns into 2:3
In 10 years, Maggie will be M+10 = 10+10 = 20 and Steven will be S+10 = 15+10 = 25
The ratio of their ages now is (M+10)/(S+10) = 20/25 = 4/5 leading to the ratio 4:5
This confirms our answers.
Corey is taking a bus to her grandparent's house. The fee is
$12.00 plus $0.12 per mile. It is 58 miles to her grandparent's
house. Her parents send her with $15.00. If her grandparents
are planning on paying the balance when she arrives, how
much will they owe?
someone please please help DUE in THIRTY MINUTES
show work
isosceles triangles means that the two bottom angles and sides are equal
therefore, you can set R and T equal to each other:
(15x-31)=(9x+11)
(get x to one side)
15x=9x+42
6x=42
x=7
now you can plug x back into the equations:
15(7)-31
105-31
74
R and T = 74
all triangles' internal angles = 180
therefore you can add the two angles then subtract them from 180
74+74=148
180-148=32
S should be 32 :)
The sum of twice a number and 16 is 86. What is the number?
Answer:
The other number is 14
Hope this helps (:
Answer:
35
Step-by-step explanation:
Let's make an equation. Suppose the "number" is x.
2(x)+16=86
Subtract 16 from both sides
2x=70
Divide by 2 on both sides
x=35
Can someone help me with part b?
Answer: x^2+3x+5
Step-by-step explanation:
Substitute (x+4) in so that you get f(x)=(x+4)^2-5(x+4)+9. Then expand so you get x^2+8x+16-5x-20+9. Now simplify and you get x^2+3x+5. That is your final answer.
95 original cost 20% markup
Answer:
markup = 95 * .20 = 19
price + markup = sale price
95 + 19 = 114
I’ll give brainiest please hurry
Answer:
c
Step-by-step explanation:
1. Select all polynomial expressions that are equivalent to 6x4 + 4x2 – 7x² + 5x + 8.
A. 16x10
B. 6x5 + 4x4 – 7x3 + 5x² + 8x
C. 6x4 + 4x3 - 7x2 + 5x + 8
D. 8 + 5x + 7x2 - 4x3 + 6x4
E. 8 + 5x – 7x2 + 4x3 + 6x4
Answer:
Options (C) and (E)
Step-by-step explanation:
Given polynomial is,
6x⁴+ 4x³- 7x² + 5x + 8
So all the polynomials which are (look alike) similar in terms of degree and number of terms to the given expression will be equivalent.
Option (A).
[tex]16x^{10}[/tex]
It's a monomial. So not the answer.
Option (B).
6x⁵ + 4x⁴ - 7x³ + 5x² + 8
This polynomial is a 5th degree polynomial, will not be equivalent to the given polynomial expression with 4 degree.
Option (C).
6x⁴ + 4x³ - 7x² + 5x + 8
All the terms and signs between the terms of this expression are similar to the given polynomial expression,
Expression will be equivalent to the given polynomial expression.
Option (D)
8 + 5x + 7x² - 4x³ + 6x⁴
= 6x⁴- 4x³ + 7x² + 5x + 8
Both are similar in number of terms and degree but signs between the terms are different.
Therefore, both the expressions are will not be equivalent.
Option (E).
8 + 5x - 7x² + 4x³ + 6x⁴
= 6x⁴ + 4x³ - 7x² + 5x + 8
Since, both the polynomials are similar so they are equivalent.
what is 20 minutes past 8
Answer:
8:20
Step-by-step explanation:
you just ads 20 minutes to 8:00
which expression is equivalent to 6a + 12
Answer:
An equivalent expression would be 2(3a+6)
from $117 to $91
22%decrease Or 29%decrease
PLEASE HELP ME ASAP
I will mark brainliest
Answer:
1846 - 21.37% increase
1847 - 7.75% decrease
1848 - 9.92% increase
Hope this helps!
Help plz! I’m stuck!
David wants to arrange the cars on his car lot. He wants to park the cars in
rows with the same number of each type of car in each row. What is the
greatest number of rows David can have?
Number of Cars
Sports Car-72
SUV-60
Sedans-48
Trucks-84
Answer:
48 rows
Step-by-step explanation:
Answer:
werid options but 24
Step-by-step explanation:
Mirna earned $145 baby-sitting during the spring break. She needs to save $105 for the German Club trip. She wants to spend the remainder of the money shopping. Use s for the amount of money Mirna can spend. Enter your inequality in the most simplified form.
Answer:
$145 - $105 ≤ $40
Step-by-step explanation:
Amount earned = $145
Amount to save = $105
Amount to spend, s = $145 - $105
= $40
The inequality is
Amount earned - Amount to save ≤ Amount to spend
$145 - $105 ≤ s
$145 - $105 ≤ $40
Matt took a train traveling at an average speed of 80 mph from Boston, MA to Washington, D.C. The trip took 6 hours. On his way back to Boston, Matt decides to take an express train that travels at an average speed of 100 mph. How long will the trip home take?
Answer:
The trip will take 4.8 hours
Step-by-step explanation:
Firstly, we need to calculate the distance from Boston to Washington
Mathematically:
Distance = speed * time
Distance = 80 mph * 6 hours = 480 miles
Now we want to calculate the time it will take a train that travels at a speed of 100 mph
Mathematically;
time = distance/speed
time = 480/100 = 4.8 hours
Trevor plans on buying a car. Four banks offer the annual interest rates shown. Which list shows these interest rates in order from greatest to least?
Complete question :
Trevor plans on buying a car. Four banks offer the annual interest rates shown.
Which list shows these interest rates in order from greatest to least
3 1/10%, 3 2/5%, 3 1/4%, 3 1/3%
Answer:
3 2/5% ; 3 1/3% ; 3 1/4% ; 3 1/10%
Step-by-step explanation:
Arrange the given interest rates in order ; greatest to least :
To make comparison easier, we can convert the fractional values to decimal ;
3 1/10%, 3 2/5%, 3 1/4%, 3 1/3%
3 1/10% = 3 + (1/10 = 0.1) = 3 + 0.1 = 3.1%
3 2/5%, = 3 + (2/5 = 0.4) = 3 + 0.4 = 3.4%
3 1/4%, = 3 + (1/4 = 0.25) = 3 + 0.25 = 3.25%
3 1/3% = 3 + (1/3 = 0.333) = 3 + 0.333 = 3.33%
Hence, arranging in descending order (greatest to least) :
3 2/5% > 3 1/3% > 3 1/4% > 3 1/10%
3 2/5% ; 3 1/3% ; 3 1/4% ; 3 1/10%
HELP I NEEED SOME HELPPPP
Answer:
x = 4
Step-by-step explanation:
target sells 24 bottles of water for $3, and 36 of water for $4 witch is the better buy and by how much
Answer:
36 bottles for $4
Step-by-step explanation:
First you need to calculate the price for one bottle, the lower the cost, the better buy. Do this by dividing the price by the amount of bottles:
= $3 ÷ 24
= 0.125 cents
= $4 ÷ 36
= 0.111 cents
The cheaper option and the better buy is the 36 bottles for $4.
[x = 6y +16
19x - 2y = -12
one solution
two solutions
O infinitely many solutions
O
no solution
How do I find the missing sides for this special triangle?
Answer:
I assume you can do the simple calculations to get the full answer
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask me in the comments below :)
A quantity of 22% acid solution is being diluted with some 8% acid solution. The final solution must be 12% acid and contain 101 mL. How much of each solution must be added to achieve the result? ROUND TO THE NEAREST mL.
Answer:
Amount of 22% acid solution needed = 29 ml
Amount of 8% acid solution needed = 72 ml
Step-by-step explanation:
Let x=amount of 22% solution needed
Then 101 - x= amount of 8% solution needed
The pure acid in the 22% solution (0.22x) plus the amount of pure acid in the 8% solution 0.08(101 - x) has to equal the amount of pure acid in the final mixture (0.12*101).
The equation to solve is:
0.22x + 0.08(101 - x) = (0.12*101)
0.22x + 8.08 - 0.08x = 12.12
0.14x = 12.12 - 8.08
0.14x = 4.04
x = 4.04 / 0.14
= 28.86
x = 29 ml to the nearest ml
Amount of 22% acid solution needed = 29 ml
Amount of 8% acid solution needed = 101 - x
= 101 - 29
= 72ml
what is the y-intercept
7x-4y=-28
Answer:
Thus, the y-intercept of the line is 7
Step-by-step explanation:
One given line can be expressed with the slope-intercept form as follows:
[tex]y=mx+b\qquad\qquad [1][/tex]
Where m is the slope of the line and b is the y-intercept.
We are given the following equation of the line:
7x-4y=-28
Let's transform the equation to look like the slope-intercept form [1].
Subtract 7x:
-4y=-7x-28
Divide by -4:
y=7/4x+7
Comparing with the equation [1]:
m=7/4
b=7
Thus, the y-intercept of the line is 7
Simplify to a single trig function with no denominator.
tan? x + 1
Answer:
sec²x
Step-by-step explanation:
Using the trigonometric identity
tan²x + 1 = sec²x
9514 1404 393
Answer:
sec² x
Step-by-step explanation:
It is a trig identity that ...
tan² x + 1 = sec² x
_____
If you like, you can convince yourself of this using the usual equivalents for tan and sec:
tan² x + 1 = sin² x/cos² x +1 = (sin² x + cos² x)/cos² x = 1/cos² x = sec² x
One rule of thumb for estimating crowds is that each person occupies 3 square feet. Use this value to determine the number of people that would fit in a room that is 354in by 714 in.
Answer:
84252 personsStep-by-step explanation:
Given that the dimension of the room is
354in by 714in
let us find the area of the room
A=354x714
A=252,756in^2
The rule say 1 person occupies 3 in^2
hence x person will occupy 252,756in^2
cross multiply we have
3x=252,756
x=252,756/3
x=84252 persons will occupy the room
Is 0.03 and0.3 equivalent to 03=3
Answer:
no
Step-by-step explanation:
Help me, pleaseeeeee:)(:
Answer:
X= 128º
Step-by-step explanation:
A triangle is stated to have 180º. This means that since we know 2 sides of the triangle you can simply subtract them from one another.
Doing this you would get: 180 - 90 - 38 = 52º
Noticing that X is on a straight line, this would result in the fact that X is on a line of 180º.
Subtracting the angle we found in the triangle would result you with the answer of:
180 - 52 = 128º for the value of X
y= (x - 3)2 + 2
Pls help ASAP
Answer:
x=y/2+2
Step-by-step explanation:
Answer:
x-12
Step-by-step explanation:
2+2 = 4 so if multiply that to 3 it will equal 12. After that it will be (x-12)
Brendan is going to paint a wall that measures 10 feet tall by 13 feet wide. The wall has two windows that are 2.5 feet wide by 4 feet tall. What is the area of the wall that he is going to pain
Answer:
Total area of paint = 110 ft²
Step-by-step explanation:
Given:
Measurement of wall = 10 feet tall by 13 feet wide
Measurement window = 2.5 feet wide by 4 feet tall each
Find:
Total area of paint
Computation:
Total area of paint = Area of wall - 2[Area of window]
Total area of paint = [10 x 13] - 2[2.5 x 4]
Total area of paint = [130] - [20]
Total area of paint = 110 ft²
The area of the wall Brenda is going to paint = 110 sq. ft.
Recall:
Area of rectangle = Length × widthGiven:
Measurement of the wall = 10 feet tall by 13 feet wide
Area of the wall = 10 × 13 = 130 sq. ft
Measurement of a window = 2.5 feet wide by 4 feet tall
Area of a window = 2.5 × 4 = 10 sq. ft
The windows won't be painted, therefore, the area of the wall that Brenda is going to paint = Total area of the wall - 2(Area of a window)
Area of the wall to be painted = 130 - 2(10)
Area of the wall to be painted = 110 sq. ftLearn more about area of rectangle on:
https://brainly.com/question/25292087
(4, -6) and perpendicular y=-2x+1
Answer:
y = 1/ 2 x − 8
Step-by-step explanation:
Find the negative reciprocal of the slope of the original line and use the point-slope formula
y − y 1 = m ( x − x 1 ) to find the line perpendicular to y = − 2 x + 1 .
what is the opposite of -89?
Answer:
89
Step-by-step explanation:
9.40 is 50% of what number
Answer:
18.8
Step-by-step explanation:
just multiply 9.4 by 2