Answer:
39 miles
Step-by-step explanation:
We know that a cyclist travelled at an average rate of 13 miles per hour for 3 hours and are asked to how far she travelled in miles.
To solve, we need to take into mind that for three hours, the cyclist drove 13 miles per hour.
Meaning that for every hour, 13 miles were driven.
Therefore we need to multiply 13 by 3 to get our answer :
13 miles * 3hrs
39 miles
Jonny and Faheem share some money in the ratio 3:5. Faheem gets £12 more than Jonny. How much does Jonny get?
Given:
Jonny and Faheem share some money in the ratio 3:5.
Faheem gets £12 more than Jonny.
To find:
The amount that Jonny gets.
Solution:
Jonny and Faheem share some money in the ratio 3:5.
Let Jonny and Faheem get 3x and 5x.
Different between their amounts is
[tex]5x-3x=2x[/tex]
Faheem gets £12 more than Jonny. It means the difference between their amounts is equal to £12.
[tex]2x=12[/tex]
[tex]x=\dfrac{12}{2}[/tex]
[tex]x=6[/tex]
The amount that Jonny gets is
[tex]3x=3(6)[/tex]
[tex]3x=18[/tex]
Therefore, Jonny gets £18.
please help i'm horrible at math ajdbvkdfjgvnfjglbdfg
Answer:
-29/3 i think
Step-by-step explanation:
Which expression has a solution of 6, if r=4
r+2
Explanation:
because if we add 2 to r which is equal to 4 we can get 6
The ratio of adult to children is 5:2, There are 35 adults at the museum, how many children are there
Answer:
14 children
Step-by-step explanation:
If we know the ration, and we are given the adults, we can set up a proportion in order to solve for the amount of children there are.
5:2=35:x
5x=35*2
5x=70
x=14
There are 14 children
50 POINTS !!!!!!!!
Which terms can be combined in the expression below? Select three options.
StartFraction 5 over 6 EndFraction a minus 2 b minus 16.3 + StartFraction b over 12 EndFraction + c minus 0.9 b
StartFraction 5 over 6 EndFraction a
–2b
–16.3
StartFraction b over 12 EndFraction
–0.9b
Answer:
-2b, b/12, -0.9b
Step-by-step explanation:
I understand this is late, but hopefully, it'll help someone who needs it, have a good day
Answer:
A Is your answer.
Step-by-step explanation:
24-79/12-2
Quadratic Equations and Functions - Part 2
Graphing Quadratics Using a Table
Independent Practice
1. A model rocket was launched from a podium 5 meters above ground at a
initial velocity of 98 m/s. The function that models height (in meters) with
respect to time (in seconds) is h(t) = 5 + 98t – 4.9t2.
Part A: Complete the table below.
Time (seconds)
0
5
10
15
20
Elevation (feet)
5
Answer:
See below
Step-by-step explanation:
Given function
h(t) = 5 + 98t – 4.9t²Part AFilling in the table using the function, substitute t for each line:
time | elevation
0 | 5
5 | 372.5
10 | 495
15 | 372.5
20 | 5
Part BThe graph is attached
When the ball hits the ground, the height is 0. Substitute 0 for
h
.
h
=
−
16
t
2
−
10
t
+
200
0
=
−
16
t
2
−
10
t
+
200
−
16
t
2
−
10
t
+
200
=
0
This equation is difficult to solve by factoring or by completing the square, so solve it by applying the Quadratic Formula,
x
=
−
b
±
√
b
2
−
4
a
c
2
a
. In this case, the variable is
t
rather than
x
.
a
=
−
16
,
b
=
−
10
, and
c
=
200
.
t
=
−
(
−
10
)
±
√
(
−
10
)
2
−
4
(
−
16
)
(
200
)
2
(
−
16
)
Simplify. Be very careful with the signs.
t
=
10
±
√
100
+
12800
−
32
=
10
±
√
12900
−
32
Use a calculator to find both roots.
t
is approximately
−
3.86
or
3.24
.
Consider the roots logically. One solution,
−
3.86
, cannot be the time because it is a negative number. The other solution,
3.24
seconds, must be when the ball hits the ground.
Answer
The ball hits the ground approximately
3.24
seconds after being thrown.
During a sale, a dress is marked down from a selling price of $ to a sale price of $. What is the percent markdown?
Complete question :
35%
Answer:
Step-by-step explanation:
Selling price = $68
Markdown price = $44.20
Percentage markdown :
Markdown / selling price * 100%
((68 - 44.20) / 68) * 100%
(23.8 / 68) * 100%
0.35 * 100%
= 35%
Three students have already enrolled for a creative writing class. The teacher will cancel the class if there are fewer than 10 students enrolled. Write three values for numbers of students needed to sign up so that the the creative writing class can be held
Answer:
7, 10 and 15
Step-by-step explanation:
Given
[tex]S_1= 3[/tex] --- Students already enrolled
[tex]Total = 10\ (less)[/tex]
Required
Determine the additional number of students needed for the teacher not to cancel the class
First, we need to calculate the number of students for the teacher to cancel the class.
Represent this with x.
So, we have:
[tex]S_1 + x < Total[/tex]
Make x the subject
[tex]x < Total - S_1[/tex]
Substitute values for Total and S1
[tex]x < 10 - 3[/tex]
[tex]x < 7[/tex]
This means that if less than 7 additional students come to the class, the teacher will cancel the class.
So, for the teacher not to cancel the class, the students must be 7 or greater (i.e. 7, 8, 9, 10....)
Solve for x
14x + 2 = 9x - 3
Answer:
[tex]x=-1[/tex]
Step-by-step explanation:
1) Subtract 9x from both sides.
[tex]14x+2-9x=-3[/tex]
2) Simplify 14x+2-9x to 5x+2.
[tex]5x+2=-3[/tex]
3) Subtract 2 from both sides.
[tex]5x=-3-2[/tex]
4) Simplify -3-2 to -5.
[tex]5x=-5[/tex]
5) Divide both sides by 5.
[tex]x=-1[/tex]
Therefor, the answer is x = -1
Helen goes into a shop.
She wants to buy 2 shirts and a pair of shorts,
Each shirt costs £24.50
The pair of shorts costs £18.90
Helen only has £70 to spend,
Does Helen have enough money to buy the 2 shirts and the pair of shorts?
Answer:
yes
Step-by-step explanation:
2*24.50=49 (two shirts)
18.90 (pair of shorts)
49+18.90=67.90
she can spend 70, means she can buy all of those and she still has 2.10
Solve the inequality for x.
-3x + 6 > 48
A)
x < -14
B)
X<-18
C)
X > -14
D)
X > -18
CAN SOMEONE HELP ME WITH THIS ONE !
Answer:
5/8 = 0.625
Step-by-step explanation:
I have attached a picture of me solving the steps. Hope this helps, thank you !!
(8y+x+12)=
what is the answer
8y + x + 12
other then that, you cannot further simplify this, nor can you factor because the greatest common factor for all of them is just 1
What are the answers?
Answer:
I think c
Step-by-step explanation:
plz make me brainliest
The sum of the ages of two brothers is 37.7 years. The older brother is
7.9 years older than the younger brother. The line graphed on the
coordinate grid represents the first of two equations in a system of linear
equations that can be used to find their ages.
If the second equation is x+y=37.7 , which value is closest to x, the age of the older brother in years?
a. 8
b. 15
c. 23
d. 30
Answer: 15
Step-by-step explanation: because 7.5 is in the middle of 5 and 10 and it goes straight down to 15
A TV that usually sells for $300 is on sale for 15% off. What is t the price of the stereo after the 15% discount. $250 $285 $255
I dont understand how to do this, looking for someone who can help
Someone help and please make sure the answer is right :)
Answer:
B
Step-by-step explanation:
their alternate exterior angles so they are equal
9x + 12 = 120
9x = 108
x = 12
Which of the following is a true statement about the angles in the figure below?
(If you can answer for me well I will tip you and give you good reviews)
Which order pair (x,y) satisfies the system of equations shown below?
Answer:
C. (2,-2)
Step-by-step explanation:
A triangle has a base of 18.1 kilometres and a height of 17.4 kilometres. What is the area?
Answer:
157.47km²
Step-by-step explanation:
Given the following
base of 18.1 kilometres
height of 17.4 kilometres
Area of the triangle = 1/2 * base * height
Area of the triangle = 1/2 * 18.1 * 17.4
Area of the triangle = 314.94/2
Area of the triangle = 157.47km²
Hence the area of the triangle is 157.47km²
Anna pays $120 per month for plano lessons. Estimate how much Anna pays
each year for plano lessons by rounding the amount paid to the nearest hundred.
Answer:
1440
Step-by-step explanation:
1440 because u have multiply 120x12 because there r 12 months
Use elimination to solve each system of equations. Explain your steps in complete sentences. Use the textbox to type your paragraph(s).
x + y = 9
x - y = -3
SOMEONE PLS HELP ASAP!! I WILL GIVE YOU BRAINLIEST! PLS USE COMPLETE SENTENCES AND YOUR OWN WORDS!
!!!!!!!WILL MAKE BRIANLIEST!!!! 2/3 x 1/5
Answer:
.0666
Step-by-step explanation:
Answer:
the answer is 2/15
Step-by-step explanation:
multiply the denominators by each other to get 15
so in 2/3 multiply 3 by 5 and in 1/5 multiply 5 by 3. 2•1 is 2 so you will get 2/15
HELP LAST ONE :”)) PLZ HELP ME I WILL LITERALLY LOVE U
Answer:
y=-2x+6
Step-by-step explanation:
Did on Calculator.
Answer:
its really simple x is increasing by 1 and y is decresing by 2
Step-by-step explanation:
i need help asap!!!!
Answer:
it's A
Step-by-step explanation:
just did it made 80
Answer:
heyy hello how r u? I hope u r fine
In ∆EFG, the measure of angle G=90,the measure of E=77, and GE=2.6 feet. Find the length of FG to the nearest tenth of a foot.
Step-by-step explanation:
Using Trignometry,
tan77° = Opposite/Adjacent = FG/GE.
Therefore FG = GEtan77°
= (2.6)tan77° = 11.3 feet.
In which diagram do <1 and <2 appear to be vertical angles?
s is inversely proportional to t
When s = 0.5, t = 7
Work out s when t = 0.8
Given:
s is inversely proportional to t.
When s = 0.5, t = 7.
To find:
The value of s when t=0.8.
Solution:
s is inversely proportional to t.
[tex]s\propto \dfrac{1}{t}[/tex]
[tex]s=\dfrac{k}{t}[/tex] ...(i)
Where, k is the constant of proportionality.
Putting s=0.5 and t=7, we get
[tex]0.5=\dfrac{k}{7}[/tex]
[tex]0.5\times 7=k[/tex]
[tex]3.5=k[/tex]
Putting k=3.5 in (i), we get
[tex]s=\dfrac{3.5}{t}[/tex]
This is the equation of proportionality.
Putting t=0.8, we get
[tex]s=\dfrac{3.5}{0.8}[/tex]
[tex]s=4.375 [/tex]
Therefore, the value of s is 4.375 when t=0.8.
PLEASE HURRY Question 2(Multiple Choice Worth 1 points)
(07.01 LC)
What is the value of x in the equation -6 + x = -4?
0-10
O
-2
O2
O 10