A boy is twice as tall as his little sister and 30cm shorter than his father. Their combined height is 3.8 meters. Find (in cm) the height of each person.
Answer:
Height of boy = 140 cm
Height of sister = 70 cm
Height of father = 170 cm
Step-by-step explanation:
Given that:
Combined height = 3.8 meters = 3.8*100 = 380 cm
Let,
b be the height of boy
s be the height of sister
f be the height of father
According to given statement;
b + s + f = 380 Eqn 1
b = 2s Eqn 2
b = f - 30 Eqn 3
Putting b=2s in Eqn 3
2s = f - 30
[tex]s=\frac{f-30}{2}[/tex]
Putting these values in Eqn 1
[tex]f-30+\frac{f-30}{2}+f=380\\\frac{2f-60+f-30+2f}{2} = 380 \\\\5f - 90 = 760 \\5f = 760+90 \\5f = 850[/tex]
Dividing both sides by 5
[tex]\frac{5f}{5}=\frac{850}{5}\\f=170[/tex]
Putting f=170 in Eqn 3
b = 170 - 30
b = 140
Putting f=170 in Eqn 2
140 = 2s
s = 70
Hence,
Height of boy = 140 cm
Height of sister = 70 cm
Height of father = 170 cm
If the scale factor is greater than one, the new figure will be:
A.a scale.
B.a reduction.
C.not proportional.
D.an enlargement
Answer: D, an enlargement
Step-by-step explanation:
i got the same question
A museum sold 95 tickets for $1,025. Each adult ticket was $15, and each child ticket was $7. Let a represent the number of adult tickets sold and let c represent the number of child tickets sold. Which system of equations can be used to determine the numbers of tickets sold?
Answer:
a + c = 95........eq1
15a + 7c = 1,025....eq2
Step-by-step explanation:
Given:
Total number of ticket sold = 95
Total amount collected = $1,025
Price of each adult ticket = $15
Price of each child ticket = $7
Computation:
Number of adult tickets sold = a
Number of child tickets sold = c
So,
Number of adult tickets sold + Number of child tickets sold = Total number of ticket sold
a + c = 95........eq1
and
15a + 7c = 1,025....eq2
Two numbers are in the ratio 5:2 and their sum is 56. Find the numbers. Please plain how to do this
Answer:
40 and 16
Step-by-step explanation:
Let's say these numbers are 5x and 2x.
Their sum is 56, so
5x + 2x = 56
7x = 56
x = 8
Now substitute the unknown value with 8.
5 · 8 = 40,
2 · 8 = 16
Determine if the triangles are similar. If similar, state how and complete the similarity statement.
The triangles are___
TUS~ ___
Answer:
Step-by-step explanation:
so all the angles of a triangle add up to 180 degrees
180-42-62= 76
so we know angle TUS is 76 degrees
the other triangle has an angle of 78 degrees which isn't 42, 62, or 76.
The triangles are not similar because similar shapes have congruent angles
Both triangles only have one pair of congruent angles (m∠TSU ≅ m∠RSQ), therefore, the triangles are not similar.
What are Similar Triangles?Similar triangles have corresponding angles that are congruent to each other and also have corresponding congruent sides that are proportional to each other.Similar triangles always possess the same shape but different sizes.From the image given:
m∠TSU = m∠RSQ = 62°
m∠TUS = 180 - 42 - 62 = 76°
m∠QRS = 180 - 78 - 62 = 40°
Thus, both triangles only have one pair of congruent angles (m∠TSU ≅ m∠RSQ), therefore, the triangles are not similar.
Learn more about similar triangles on:
https://brainly.com/question/1995263
Simplify and explain (x^3+8)/(x+2)
answer:
x^2 - 2 x + 4
explanation: you want to factor the expression using a^3 + b^3= (a+b) (a^2 - ab+b^2)
then
(x,2) x (x^2 - 2x+4)
_________________
x+2
then reduce so,
(x+2) x (x^2- 2x +4)
_________________
x+2
then cross out repeating which is x+2
then you get your answer!
b. Grandpa Dewitt planted an oak tree 58 years ago and it is now 14 metres high. When
he planted the oak, it measured 1 metre in height. How much did the oak tree grow
on average each year?
how would i write the equation?
Answer:
It grew 0.22 ft on the average yearly
Step-by-step explanation:
Here, we want to calculate the average growth rate
We find the difference between the heights
That will be;
(14-1) = 13
divide by the number of years
= 13/58 = 0.22 meter per year
The ratio of males to females in a tennis club is 4:3 what fraction are female?
Explanation
Let's say we had 4 men and 3 women in the tennis club. This would make the ratio of males to females be 4:3.
We have 4+3 = 7 people total. Of that total, 3 are women, so 3/7 is the fraction of women in the group.
Answer:
THE ANSWER IS 3/7
Step-by-step explanation:
Ra
2 of 12
Savings Account
Alexandra deposits $600 in her bank account. The
account earns interest at a rate of 5%, compounded
annually.
Which equation below represents Alexandra's savings
if she makes no additional deposits or withdrawals?
Answer:
can't see the options you have but if I show you how to work it out maybe that will help??
100 + 5 = 105
105/100 = 1.05
600 X 1.05^ to number of years
solve by substitution 6x-4y=18, -x-6y=7
Answer:
(2,-1.5)
Step-by-step explanation:
6x-4y=18
-x-6y=7
Switch the second equation from standard form to y=mx+b form
-x-6y=7→ -x=7+6y → multiply both sides by -1→ x=-7-6y
Substitute all of the things that equal x into the other equation into x
6x-4y=18→ 6(-7-6y)-4y=18
Simplify
-42-36y-4y=18
Bring - 42 to the other side and add like terms
-42-36y-4y=18→ -40y= 60
Solve for y
y=-1.5
Choose an equation and plug y in it.
-x-6(-1.5)=7
-x+9=7
-x=-2
Multiply both sides by -1
x=2
Which expression has the same value as the one below?
8 + [4 + (–9)]
A. 12 + (–9)
B. –12 + 9
C. –4 + (–9)
D. 4 + (–9)
Answer:
A. 12 + (-9)
Step-by-step explanation:
adding 8 to 4 is 12 and 9 remains as it is.
Jacob paid $987 for a laptop which was 60% off the original price. What was the
original price if $987 was the sale price?
Answer:
$2467.50
Step-by-step explanation:
987 = ( 1 - 0.6 )x
987 = 0.4x
x = 2467.5
can someone help me please
Answer:
A., E.
Step-by-step explanation:
0.70 and 0.71 are greater than 0.68 but less than 0.72.
(hope this helps!)
Find the surface area of a 7.4 cm long iron rod and 3.1 m radius
Answer:
144.2 cm
Step-by-step explanation:
Length of the iron rod is 7.4cm
Radius is 3.1m
Therefore the surface area can be calculated as follows
= 2πrl
= 2×3.142×3.1×7.4
= 144.2 I'm
Hence the surface area is 144.2cm
Please help please...
Answer:
In step one, -8 - 2 should result in -10, not -6.
A tennis racquet with an original price of $30 is on sale for $21. What is the percent of discount?
Answer:30%
Step-by-step explanation:
original amount-new amount/original amount
30-21/30
9/30
write as a percent
30% off
is two a prime number?
Answer:
yessirr
Step-by-step explanation:
Answer:
yes
2,3,5,7,11,13,17,19,23 and so on
The longer leg of a right triangle is 4 more than the short leg. The hypotenuse is eight less than the sum of the 2 legs.
Solve
Answer:
SteLet a = short leg of the right triangle, b = the longer leg, and c = the hypotenuse.
The longer leg of a right triangle is 4inches longer than the shorter leg: b = a + 4
The hypotenuse is 8inches longer than the shorter leg: c = a + 8
Use the Pythagorean Theorem:
a2 + b2 = c2
a2 + (a+4)2 = (a+8)2
a2 + a2 + 8a + 16 = a2 + 16a + 64
a2 - 8a - 48 = 0
Factors to:
(a-12)(a+4) = 0
a = 12, -4
Since we can't have a side of -4, a = 12
Shorter Leg = 12 inches
Longer Leg = 12 + 4 = 16 inches
Hypotenuse = 12 + 8 = 20 inches
yoooooooooo i need help fast . please
A recipe needs 1/4 tablespoons salt. This same recipe is made 5 times. How much total is needed?
Answer:
The answer to this question would be 1/4 *5=1.25
Step-by-step explanation:
PLZZ mark me brainliest
What is the slope of the line that passes through the following points?
(-1,-2) and (-3,-4)
Answer:
y = x - 1
Step-by-step explanation:
Find the slope:
(-4 - (-2))/(-3 - (-1))
-2/-2 = 1
y = x + b
Plug in one of the points:
(-1,-2)
-2 = -1 + b
b = -1
y = x - 1
Someone help me on this pleaseeeeeeeeeeeeee !
Answer:
9
Step-by-step explanation:
Billy runs a miles in seven minutes and 30 seconds. For every mile Billy runs, he adds 30 seconds to his mile time. If Billy runs EIGHT miles, how many minutes will it take him?
Answer I don't know the answer but I just want to say I hope you do well!
Step-by-step explanation:
Answer:
After the last lap it will take him 11 min to complete the lap and over all his time was 1 hour 14 min.
Step-by-step explanation:
Lap 1: 7:30
Lap 2: 8:00
Lap 3: 8:30
Lap 4: 9:00
Lap 5: 9:30
Lap 6: 10:00
Lap 7: 10:30
Lap 8: 11:00
= 74:00 = 1 hour 14 min
PLZ THANK AND 5 STAR AND GIVE BRAINLIEST :)
Please help me with this homework
Answer:
1) 3.21 by itself if rational, I don't know if the dots mean anything, but if they do, then it is irrational.
2) Pi is an irrational number as it repeats forever.
Please help ASAP, I need to answer this by the end of the day I need really need help!!!
Answer:
1. I believe some solutions could be x= -7, x= -8, x= -9 etc.
Step-by-step explanation:
2. If the inequality was -3x is greater than or equal to 18 then x and also be equal to x=6.
what are the lengths of LM, MN, QR, and MR?
Round 4746.13662611 to the nearest whole number.
Answer:
Submit Answer
Answer:
4746
Step-by-step explanation:
if the number in the place smaller than what you are trying to round to (so the tenths) is 5 or greater, you round up, if it is 4 or smaller, the number stays the same.
I guess it's time to post a real question. The attachment below---
Answer:
y*y*y*y*y
y^5
Step-by-step explanation:
When you multiply exponents with the same base you're supposed to add them so your answer to the first is y^5 but your teacher is being weird and wants you to write it with no exponents so you can just write it 5 times
so number one is y*y*y*y*y
I answered number two in my explanation above
you add the exponents
y^2+y^3=y^5
if you have any questions let me know
Function or not?
I will give you brainliest
Pls help, Thank you
Luis worked 40 hours last week and earned a total of $528. His job at Cub pays $9 per hour and
his job at Target pays $15 per hour. Set up a system of equations to determine how many hours
he worked at Cub and how many hours he worked a Target. Then, solve the system.
The number of hours worked at Cub is
The number of hours worked at Target is
Answer:
Let the number of hours he worked at his weekday job be x and the number of hours he worked at his weekend job be y, then
From (1): 25 + y = 40
y = 40 - 25 = 15.
Therefore, Beneio worked for 25 hours at his weekday job and 15 hours at his weekend job.
Step-by-step explanation:
