Answer:
The present age of the mother is 40 years
Step-by-step explanation:
Let the age of the mother be M and that of the daughter D. Given that the mother is now 2 1/2 times old as her daughter Mary then
M = 2.5D
Given that Four years ago the ratio of their ages was 3:1
The mother's age 4 years ago was
= M - 4
and that of the daughter then was
= D - 4
Hence
(M - 4)/(D - 4) = 3/1
Cross multiply
M - 4 = 3(D - 4)
M - 4 = 3D - 12
M = 3D - 12 + 4
M = 3D - 8
Substitute into the first equation
3D - 8 = 2.5D
3D -2.5D = 8
0.5D = 8
D = 8/0.5
= 16 Years
M = 2.5D
M = 2.5 * 16
= 40 Years
At Lake View Middle School, there are 900 boys. The ratio of boys to girls is 5 to 4. How many girls are there in the school?
Answer:
320 girls
Step-by-step explanation:
We can make an algebric equation for this:
5x=900
x=180
We are asked to find the girls so we have to multiply the girls ratio by our x value we just found.
4x=4x180=320 girls
Which quadrant is each ordered pair in?
1. (-3,1)
2. (-9,-4)
3. (10,5)
4. (6, -7)
Answer:
(-3‚1) lies in second quadrant.
3 men go to a hotel, the room price is 15 dollars so each man pays 5 bucks, but then the receptionist realizes there is a discount so the room is only 10 dollars, so she hands back 5 dollars, so each man decides to take a dollar each and give the receptionist a 2 dollar tip, now if you add what I have said up, you will realize there is a dollar missing, please someone help me figure this out, its been in my mind for days now
Answer:
He might have dropped it.
Step-by-step explanation:
If the manager didn't have any 5 dollar bills then he could have given him 3 dollars in ones and one 2 dollar bill. 2 dollar bills are rare now, he wanted the 2 dollar bill to keep for himself and also dropped one of the single dollar bills.
A tree is 15 feet tall and casts a shadow of 9 feet. How long is the shadow of a tree 25 feet tall?
Answer:
The shadow is 15 feet long.
Step-by-step explanation:
This is a proportion question. Build a proportion using two fractions.
[tex]\frac{\text{tree height}}{\text{shadow length}}[/tex]
[tex]\frac{15}{9}=\frac{25}{x}[/tex]
"Cross-multiply" -- you might know this as the Means-Extremes Property of Proportions.
[tex]15x=(25)(9)\\15x=225\\x=15[/tex]
What is the probability of spinning a number greater than 7 or an odd number? (1 Point)
A.3/10
B.7/10
C.5/10
D.9/10
The deposit on one can is $0.05, what is the deposit on 23 cans?
Answer: $1.15
Step-by-step explanation:
Data 1 can(c)=0.05
23 cans(c)=x
Only step, multiply 23x0.05=1.15
Reason: Since 1 c=0.05, multiplying is by 23(number of cans) will get us the rate of 23 c
Answer: $1.15(Don't forget the dollar sign)
I hope this helps!
I don't understand how to factor out the GCF of the polynomial
[tex]4x^{2} -8x-6[/tex]
A triangle has angle measurements of 56°, 54°, and 70°. What kind of triangle is it?
Answer:
Right, I am an idiot so i might be wrong
Step-by-step explanation:
Every triangle has three angles which sum to 180 degrees.
There are three types of triangles based on the measures of its angles.
Right Triangle - Has one 90 degree angle
Acute Triangle - All angles less than 90 degrees
Obtuse Triangle - One angle greater than 90 degrees
In this example we are given 2 angles and must find the measure of the 3rd.
a + 56 + 34 = 180
a + 90 = 180
a = 90
Therefore, it is a Right Triangle.
if 5/7y=105,what is the value of y
Answer:
look at the picture i sent......
Which expressions are equivalent?
Answer:
the one already selected
Answer:
The one selected
Step-by-step explanation:
show work
Simplify this expression by combining the like terms
7y + 10 + 3y - 4 - 6y
please help i suck at these
Answer:
1st Option;
j = 4.5
k = 2
Step-by-step explanation:
Let's solve for "j" first:
=> We know that by the definition of midpoint segment theorem we can say;
3j = 5j - 9
0 = 5j - 3j - 9
0 = 2j - 9
0 + 9 = 2j
9 = 2j
9/2 = j
4.5 = j
=> Now that we have j-value we use the same method to solve for k-value;
6k = k + 10
6k - k = 10
5k = 10
k = 10/5
k = 2
Therefore;
j = 4.5
k = 2
So the first option would be correct!
Hope this helps!
54 =. x6 picture included
Hello! Im currently in elementary school and ik this is easy for u in middle school so pls help me.
You go out of the path and take a round that forms a perimeter of the small mountain. You measure the circumference to 75 meters. The view was so nice here, so you take another round with the same circumference.
How much longer was the trip because you took 2 laps in this perimeter detour?
I’ll give 15 points? pls fast i have time on me.
Answer: WELL WE GO BY 150 METERS AND THAT ADDS TO TIME BUT BUT GOING TWICE YOU GET 150 METER IN ALL
Step-by-step explanation:
Im confused about this question
Answer:
F
you have to set it up as an equation then solve
Set end gulf g if NC gba has 4th s 3 eggs $"4 runs they've eggs her Seth w if rid the ms has hehe he na na
Which alternative is the reciprocal of -1/4?*
A. - 4
B.-1/4
C. 1/4
D. 4
Answer:
b is the correct answer ok
A survey was conducted at a town hall meeting to determine if a new park should be built. Out of the 3,462 people surveyed, 1,468 people voted that the town should not build a new park.
Assuming the survey was random, what percentage of people in the town would likely vote in favor of the new park?
Enter your answer to the nearest percent in the box.
%
Answer: 58%
Step-by-step explanation:
Answer:
58%
Step-by-step explanation:
If 1468 weren't in favor of the new park, then 3462-1468=1996 people were in favor of the new park. This means the percentage of those who are in favor of the park is 1996/3462=0.5765=57.65%=58%
A map is created on a coordinated plane . Ty’s house is located( 7,8) and the library is located( 7,-6)How many blocks is it from Ty’s house to the library each unit on the coordinate plane represents 1 block
Given:
Ty’s house is located ( 7,8) and the library is located ( 7,-6).
Each unit on the coordinate plane represents 1 block.
To find:
The number of blocks from Ty’s house to the library.
Solution:
Distance formula:
[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
We need to find the distance between the two points ( 7,8) and ( 7,-6).
Using the distance formula, we get
[tex]D=\sqrt{(7-7)^2+(-6-8)^2}[/tex]
[tex]D=\sqrt{(0)^2+(-14)^2}[/tex]
[tex]D=\sqrt{196}[/tex]
[tex]D=14[/tex]
The distance between the two points ( 7,8) and ( 7,-6) is 14 units.
We know that, each unit on the coordinate plane represents 1 block.
Therefore, there are 14 blocks from Ty’s house to the library.
3х +7
2х + 3
x= ? please help i’m almost done with school
Answer:
34
Step-by-step explanation:
Add them together
5x+10=180
5x+10-10=180-10
5x=170
5x/5=170/5
x=34
ILL MARK BRAINIEST IF YOU CAN DO THIS RIGHT!!!
Answer: Slope: -1/2
Step-by-step explanation: To find slope take 2 points that lie on the line and use this formula to solve: I will use (0, -2) and (2, -3) to solve
↑ ↑ ↑ ↑
y2 - y1 x1 y1 x2 y2
-----------
x2 - x1
So, for this question, substitute the x and y values from the points above to solve.
-3 - (-2)
----------- = - 1/2
2 - 0
Hope this helped. :)
Help plz I just need the answer
Answer:
x = 7
Step-by-step explanation:
Find the area of the figure
Answer: 1920 i think
Step-by-step explanation:
Macy took a Math test; her ratio of the correct to incorrect answers was 8:2.
If there were 30 questions on the test, how many did Macy get correct?
FAST RESPONSE PLEASE!!!!
Answer:
24
Step-by-step explanation:
8 correct for every 2 wrong
multiply both sides by 3
24 correct and 6 wrong
which adds up to 30
I HAVE LIKE 2 MORE QUESTIONS, HELP ME PLZ!
Given:
Base length of triangle = 10 units
Height of triangle = [tex]\sqrt{44}[/tex] units
Length of hypotenuse of triangle = 12 units
To find:
Exact value of Cos A
Steps:
The cosine of any angle is equal to the length of the adjacent side by the length of the hypotenuse side.
So,
Cos A = [tex]\frac{adjacent}{hypotenuse}[/tex]
Cos A = [tex]\frac{10}{12}[/tex]
Cos A = 0.833
Therefore, the exact value of cos A is 0.833.
Happy to help :)
If u need any help, feel free to ask
The seventh term of an A.P is 15 and the fourth term is 9. Find the first term and common difference
What two number add up to 10 multiply by 24
Answer:
the two numbers are six and four
Step-by-step explanation: 6+4=10 6x4=24
Solve: 4(3x - 2) = 8(x - 8)
Giving 10 points for correct answer !!!
Answer:
12x-8 ______
Step-by-step explanation:
The second bit, I have no clue. But the first is just simplifying in algebra.
58 Select the correct answer. An investment banking house conducted a survey to determine how two of its proposed investment plans for three different age categories are used. This table shows the responses they received. Plan l Plan II Neither 19 14 17 Ages 26-35 Ages 36-45 Ages 46-55 14 28 8 00 27 21 2 What percentage of people preferring plan I are from the 36-45 age group, and what percentage of people from the 46-55 age group prefer plan II? Round your answers to the nearest whole number. OA 2396 of people who prefer plan I are from the 36-45 age group, and 42% of people from the 46-55 age group prefer plan II . O B. 28% of people who prefer plan I are from the 36-45 age group, and 42% of people from the 46-55 age group prefer plan II. 2396 of people who prefer plan I are from the 36-45 age group, and 33% of people from the 46-55 age group prefer plan II. 28% of people who prefer plan I are from the 36-45 age group, and 33% of people from the 46-55 age group prefer plan II. OD es reserved
Answer:
23% of people who prefer plan I are from the 36–45 age group, and 42% of people from the 46–55 age group prefer plan II.
Step-by-step explanation:
___________Plan I___ Plan II ___Neither
Ages 26–35__ 19_____ 14_______ 17
Ages 36–45__ 14 _____28_______ 8
Ages 46–55__ 27 _____21_______ 2
Total Number who prefer plan 1 = (19 + 14 + 27) = 60
Number in the 36 - 45 age group = 14
Percentage = 14 / 60 = 0.2333 = 23%
Number of people in the 46-55 age group = (27 + 21 + 2) = 50
Number on the age group who prefer plan II = 21
Percentage = 21 / 50 = 0.42 = 0.42 * 100 = 42%
can someone average this out for me and for the term test I made a 36
Answer: 70.77 or 71 if rounded up
Step-by-step explanation:
Add all the scores then divide to 18.
Shannon is dressing a mannequin for a store window to show off a new line of men's clothing. Shannon can choose from 2 different T-shirts and 8 styles of jeans. How many different ways can Shannon dress the mannequin?
ways
Answer:
16
Step-by-step explanation: