Answer:
Johnny will be able to reach the safe zone before the gate is closed.
Step-by-step explanation:
Given that:
Distance of Little Johnny from safe zone = 4000 feet
Time = 3 minutes
Speed = 22 mph
To find:
Will Johnny be able to reach the safe zone ?
Solution:
Johnny can only be safe if he can travel 4000 feet in 3 minutes with the given speed.
Let us try to find out, the distance that he can travel in 3 minutes at speed of 22 mph.
Let us have a look at the formula of distance traveled:
[tex]Distance = Speed \times Time[/tex]
Time = 3 minutes = [tex]\frac{3}{60}[/tex] hrs
Speed = 22 mph
[tex]Distance = 22 \times \frac{3}{60}\\\Rightarrow Distance = \dfrac{22}{20}\ miles \\\Rightarrow Distance = 1.1\ miles[/tex]
We know that 1 mile = 5280 feet
Therefore 1.1 miles = 5280 [tex]\times[/tex] 1.1 feet = 5808 feet
Distance traveled by Little Johnny is greater than 4000 feet.
Therefore Johnny will be able to reach the safe zone before the gate is closed.
solve for x 1/4(4x-1)=-1/7-5/7
Answer:
[tex]x=-\frac{17}{28}[/tex]
Step-by-step explanation:
[tex]\frac{1}{4}(4x-1)=-\frac{1}{7}-\frac{5}{7}[/tex]
[tex]x-\frac{1}{4}=-\frac{6}{7}[/tex]
[tex]x = -\frac{6}{7} + \frac{1}{4}[/tex]
[tex]x = -\frac{17}{28}[/tex]
plug [tex]x[/tex] in the equation to make sure of your answer:
[tex]\frac{1}{4}(4x-1)=-\frac{1}{7}-\frac{5}{7}\\\frac{1}{4}(4(-\frac{17}{28}) -1)=-\frac{1}{7}-\frac{5}{7}\\-\frac{17}{28} -\frac{1}{4}=-\frac{6}{7}\\-\frac{6}{7}=-\frac{6}{7}[/tex]
100 gives
PRT
The simple interest formula I
the interest I on a principal P invested at a
rate of R% per annum for T years.
a Find the interest when N150 000 is
invested at 5% per annum for 4 years.
b Find the principal that gains an interest of
N16100 in 5 years at 7% per annum.
Answer:
Step-by-step explanation:
a) P = N 150000
R = 5%
T = 5 years
Plug in the values P,R & T in the formula
I = PRT
[tex]I=150000*\frac{5}{100}*4\\\\= 1500 * 5 * 4\\[/tex]
I = N 30000
b) I = N 16100
R = 7%
T = 5 years
[tex]PRT = I\\\\P*\frac{7}{100}*5=16100\\\\P=16100*\frac{100}{7*5}[/tex]
P= N 46000
Answer:
[tex] \boxed{ \bold{ \boxed{ \sf{a. \: \: interest \: = \: N \: 30000}}}}[/tex]
[tex] \boxed{ \bold{ \boxed{ \sf{b. principal \: = \: N \: 46000}}}}[/tex]
Step-by-step explanation:
a. Given,
Principal ( P ) = N 150000
Rate ( R ) = 5 %
Time ( T ) = 4 years
Interest ( I ) = ?
Finding the Interest ( I )
[tex] \boxed{ \bold{ \sf{interest = \frac{principal \times time \times rate}{100} }}}[/tex]
⇒[tex] \sf{interest = \frac{150000 \times 4 \times 5}{100} }[/tex]
⇒[tex] \sf{interest = \frac{3000000}{100}} [/tex]
⇒[tex] \sf{interest = N \: 30000}[/tex]
Interest = N 30000
------------------------------------------------------------
b. Given,
Interest ( I ) = N 16100
Time ( T ) = 5 years
Rate ( R ) = 7 %
Principal ( P ) = ?
Finding the principal
[tex] \boxed{ \bold{ \sf{principal = \frac{interest \times 100}{time \times rate}}}} [/tex]
⇒[tex] \sf{ \frac{16100 \times 100}{5 \times 7} }[/tex]
⇒[tex] \sf{ \frac{1610000}{35} }[/tex]
⇒N [tex] \sf{46000}[/tex]
Principal = N 46000
Hope I helped!
Best regards!!
When should you use the distributive property?
The distributive property is used when you have a value multiplied by 2 values separated by an operation.
For example, if you have x (y + z), then you would use the distributive property to get x (y + z) = xy + xz.
Simplify:
1. 3(5 + 2) -8 + 2(3) =
Answer:
19 is correct answer
Step 1:
3(5 + 2) -8 + 2(3)
Step 2:
15+6-8+6
Step 3:
27-8
Step 4:
19
hope it helped you:)
Find the midpoint of the segment with the given endpoints
(-8,-9) and (-3,-1)
Please help me
Answer:
Step-by-step explanation:
(-8 + (-3))/2= -11/2 = -5.5
(-9+(-1))/2= -10/2 = -5
(-5.5, -5): midpoint
What is the volume of this rectangular prism 2/3,5,6
Answer:
The volume of the rectangular prism is 20.
Jenifer is 1 year older than twice Zack's age. Write an expression that repersents Jenifer's age in relation to zack.
Answer:
j = 2z + 1
jennifer is one year older or jennifer is plus one.
twice zacks age or two times zacks age.
jennifer's age is two times zacks age plus one or
j = 2z + 1
Find the point-slope equation for
the line that passes through the
points (1,-9) and (-10, 101). Use
the first point in your equation.
y + 9 = [ ? ](x-[ ])
Answer:
Below in bold.
Step-by-step explanation:
The slope of the line = (101 - -9) / (-10 - 1)
= 110/ -11
= -10
The required equation is y + 9 = -10(x - 1)
*11. Find the value of the expression (-1)+2+(-3) + 4 + ... + (-99) + 100.
Solution
50
Step-by-step explanation:(-1) + 2 + (-3) + 4 + ... + (-99) + 100 =
= 2 - 1 + 4 - 3 + .. + 100 - 99
= 1 + 1 + .. + 1
= 50×1
= 50
Answer:
50.
Step-by-step explanation:
Each pair of numbers add up to 1:
-1 + 2 = 1, -3 + 4 = 1 and so on
There are 50 of theses pairs so the value is 50.
If you only have a compass and straightedge, how would you construct an equilateral triangle so segment AB is one of the sides?
Describe the steps, be very specific.
A
•B
Need help ASAP
Answer:
Step-by-step explanation:
To construct an equilateral triangle so that segment AB is one of the sides of the triangle we will follow the following steps.
1). Set a distance equal to the segment AB in the compass and draw two arcs on the same side of AB.
2). Join the point of intersection of these arcs to A and B with the help of a straightedge.
3). Hence an equilateral triangle (with all equal sides) is constructed.
What is the equation of a vertical line passing through (-5, -2)?
O y = -2
O x = -5
O y = -3
O x = -7
Answer:
x=-5
Step-by-step explanation:
if point the line is passing through is -5, -2 and the line is vertical than x would have to stay the same no matter where the y is because it's vertical.
Which of the following is an example of a permutation?
Permutation
Step-by-step explanation:
Permutation is an example of the mathematics in which item are arranged in different way.For example ABC, ACB, BCA, CBA, CAB, BAC etc. The order of an arrangement are different in each alphabet. The product of number also be defined as in the form of n to 1 for example : 5*4*3*2*1 = 120Learn more: permutation
https://brainly.in/question/17438663what’s equivalent to 9m?
please help asap!!!
m-9
9/m
9+m
(9)(m)
Answer:
(9)(m)
Step By Step Explanation:
9m is multiplying. So you need to find the one that deals with multiplication.
m-9 is subtraction
9/m is division
9+m is addition
(9)(m) is multiplication
Hope this helps :)
A right rectangular prism is packed with cubes of side length fraction 1 over 5 inch. If the prism is packed with 15 cubes along the length, 6 cubes along the width, and 5 cubes along the height, what is the volume of the prism?
Answer:
3.6 in³
Step-by-step explanation:
If each cube is 1/5 inch:
15 cubes along the length = 15÷5 = 3 inches
5 cubes along the height = 5÷5 = 1 inch
6 cubes along the width = 6÷5 = 1.2 inches (1 and 1/5)
V=lwh=3*1*1.2= 3.6 in³
Point Coordinate
A 0.31
B 0.33
C 0.38
D 0.29
Which number line shows the correct placement of the points in the table above?
A
B
C
D
Step 1:
First, let's order the number from least to greatest.
A. -0.31
B. -0.33
C. -0.38
D. -0.29
We could see that A, B, and C's numbers are already from least to greatest, so all we have to do is to move -0.29 (D) up to the top, since -0.29 is the number with the lowest value.
C. -0.38
B. -0.33
A. -0.31
D. -0.29
Step 2:
Let's look at the four number lines. Remember that we already organized the numbers from least to greatest, so the order they go in on the number line is: C, B, A, and D. Since Line C and D Don't follow that rule, we know those are not our answers. Also on line B, C is on the left of -0.4, but C's value is less than -0.4, so B is wrong. We are left with line A.
Line A: C. -0.38, B. -0.33, A. -0.31, D. -0.29
Our answer: Line A
Answer:
B: -0.3
Step-by-step explanation:
What is the length of a side of the pentagon?
Urgent!!!!!In a class of students, the following data table summarizes the gender of the students
and whether they have an A in the class. What is the probability that a student is a
male given that they have an A?
Answer:
.85%
Step-by-step explanation:
You add up all the students who have an A whether they are male or female. 3 + 17 = 20. You have 17 males right? Divide 17 by 20 to get .85
( 100 POINTS FOR EVERYTHING ) Need some help on this INTEGERS Worksheet. Not too difficult, but I don't have much time left. ( Use in this format v ) 1.) ?? 2.) ?? 3.) ?? etc..
Answer:
11) -11
12) -12
13) 7
14) -60
15) -56
16) -378
17) -126
18) -4
19) -3
20) -12
Answer:
see below
Step-by-step explanation:
1. 75
2. -14
3. 91
4. 67
5. 24
6. 112
7. 91
8. 44
9. 15
10. -11
11. -11
12. -12
13. 7
14. -60
15. -56
16. -378
17. -126
18. -4
19. -3
20. -12
i need some help thanks!
Answer:
1. square root 9/4
2. 5/3
3. square root 5
4. 2.5
Step-by-step explanation:
The first one would equal 1.5.
The second is 1.6.
The third is 2.2.
And obviously the last is 2.5.
Justine and Meagan played a trivia game. Justine answered a question incorrectly and lost 7 points. Then Meagan answered correctly and got the opposite score. Which is the correct way to represent that "the opposite of Justine's score was equal to Meagan's score
Answer:
The correct way to represent that "the opposite of Justine's score was equal to Meagan's score" is [- (-7)].
Step-by-step explanation:
We know that the opposite of the opposite of a number, say 2, is the number itself.
That is:
Opposite of 2 is -2.
Then the opposite of -2 is:
- (-2) = 2
It is provided that:
Justine answered a question incorrectly and lost 7 points. Then Meagan answered correctly and got the opposite score.Assume that both Justine and Meagan started with 0 score.
Justine plays first.
If Justine answered a question incorrectly, his score would be -7.
Then Meagan plays, and answers the question correctly.
So, Meagan got the opposite score.
The opposite of -7 will be [- (-7)].
Thus, the correct way to represent that "the opposite of Justine's score was equal to Meagan's score" is [- (-7)].
Solve the equation for X.
4+2(x-4)=-7(x+7)
x=5.9
x=-5
x=5
x=-7.4
Answer:
x = -5
Step-by-step explanation:
4 + 2(x - 4)= -7(x + 7)
4 + 2x - 8 = -7x - 49
2x - 4 = -7x - 49
2x + 7x = -49 + 4
9x = -45
x = -45/9
x = -5
In the set, (1,4), (3,5) and (-1, 2), what is the range?
{2, 4, 5)
0_{1, 4, 3, 5, -1, 2}
O {1,3)
{-1, 1, 3}
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{2 \: , \: 4 \: , \: 5 \: }}}}}[/tex]
Step-by-step explanation:
Given,
{ 1 , 4 } , { 3 , 5 } , { - 1 , 2 }
To find : Range
Range are the set of all y - co-ordinates .
So,
Answer : { 2 , 4 , 5 }
Hope I helped!
Best regards!
What properties can be used to solve 7y-15=-29. Identity property of multiplication,addition property of equality ,distributive property,inverse property of mulplication,commutative property of addition
Answer:
Addition Property of Equality.
Inverse property of multiplication.
Step-by-step explanation:
Given the equation:
[tex]7y-15=-29[/tex]
First of all, let us use Addition Property of Equality.
According to the property, if we add a number on both sides of an equality, there is no change in the equality.
In other words, the equality will be same if we add the same number on Left Hand Side and Right Hand Side of the equality.
First of all, let us add 15 on both sides of the equality:
[tex]7y-15+15=-29+15\\\Rightarrow 7y=-14[/tex]
Now, let us Inverse property of multiplication.
i.e. Multiplication of a number with its inverse is equal to 1.
[tex]a\times \frac{1}{a} = 1[/tex]
So, let us multiply the given equation with [tex]\frac{1}7[/tex]
[tex]7y \times \dfrac{1}{7}=-14 \times \dfrac{1}{7}\\\Rightarrow 1y =-2\\\Rightarrow y=-2[/tex]
The properties used are:
Addition Property of Equality.
Inverse property of multiplication.
Evaluate 4−2f when f=1
Answer:
2
Step-by-step explanation:
f=1
=4-2f
=4-2(1)
=4-2
=2
Hope this helps ;) ❤❤❤
Answer:
2Step-by-step explanation:
[tex]4-2f\\\\f =1\\4-2(1)\\=4-2\\= 2[/tex]
The sum of three consecutive integers is 168. What are the integer?
Answer:
Step-by-step explanation:
Hello, let's note n this integer.
n+ (n+1) + (n+2) = 168
3n+3=168
3(n+1)=168
n+1=168/3=56
n = 56-1=55
Thanks
You buy a 625.05 mL container of dish soap. You already have
142.71 mL at home.
How many mL do you have in total?
ml
Answer:
You have 767.76 mL of soap.
Answer: 767.76 ml of dish soap.
Step-by-step explanation: 625.05+142.71=767.76.
a²b-b² if a and=b-7
True or False? The number 0.8 can be written as 8/10, so it is an irrational number
Jenna subscribes to a music service that allows her to pay a discounted price per song as long as she pays a membership fee. This is modeled by the expression .99x + 10. What does x represent?
Answer:
x is the song. she has to pay 99 cents per song.
Select three ratios that are equivalent to 8:20 Choose 3 answers: (A. 1:4
(B. 4:10
(C. 24:60
(D. 2:5
(E. 10:24
Answer:
8:20
divide by 2
B. 4:10
multiply by 3
C. 24: 60
divide by 4
D. 2:5