Answer:
The distance of Jack's Father's work from home in miles is 45 miles.
Step-by-step explanation:
a) Data and Calculations:
Normal time taken by Jack's father to drive to work = 30 minutes
Time taken when traffic is bad = 1 hour longer
Speed when traffic is bad = 30 mph slower
Distance covered when traffic is bad, with time taken as 1 hour 30 minutes = time * speed = 1.5 * 30 = 45 miles
b) Jack's father normally drives at 90 mph (45 *2), this is why it normally takes him 30 minutes between his home and workplace when the traffic is not bad. However, when traffic is bad, it takes him one hour longer and he drives at 30 mph slower.
273
13–21
=
16
7 — 6
Answer:
2
Step-by-step explanation:
Which of these phrases contain a variable? Check all that apply.
A. Eight miles long
B. The speed of the scooter
C. Two pounds of nails
D. The width of the book
Answer:
B. The speed of the scooter.
Step-by-step explanation:
hope it helped
Use any method to divide
Answer:
Step-by-step explanation:
-2/3 needs to be multiplied by the reciprocal of 1/2
(-2/3)*(2/1)=-4/3= -1 1/3
A construction crew is lengthening a road that originally measured 41 miles. The crew is adding one mile to the road each day.
Let L be the length (in miles) after D days of construction.
Write an equation relating L to D. Then use this equation to find the length of the road after 14 days.
Answer:
41 + (D x 1) = L
Step-by-step explanation:
To determine the necessary equation to lengthen a road whose initial measure is 41 miles, knowing that a new mile is built every day, the following equation must be performed:
41 + (D x 1) = L
Thus, if 14 days had passed, the length of the journey would be determined as follows:
41 + (14 x 1) = L
41 + 14 = L
55 = L
Therefore, after 14 days, the road's length will be 55 miles.
On a number line, the directed line segment from Q to S has endpoints Q at a -8 and S at 12 Point R partitions the direct line segment from Q to S in a 4:1 ratio Which expression correctly uses the formula (m/m+n)(x2 - x1) + x1 to find the location of point R?
Answer:
[tex]R =\frac{4}{4+1}(12 +8) -8[/tex]
Step-by-step explanation:
Given
[tex]QS = (-8,12)[/tex]
[tex]Ratio = 4 : 1[/tex]
Required
Determine the expression that correctly uses [tex]\frac{m}{m+n}(x_2 - x_1) + x_1[/tex]
In [tex]QS = (-8,12)[/tex]
[tex](x_1,x_2) = (-8,12)[/tex]
and
[tex]m:n = 4:1[/tex]
Substitute these values in:
[tex]\frac{m}{m+n}(x_2 - x_1) + x_1[/tex]
[tex]R =\frac{4}{4+1}(12 - (-8)) + (-8)[/tex]
The expression becomes:
[tex]R =\frac{4}{4+1}(12 +8) -8[/tex]
Solving further:
[tex]R = \frac{4}{5}(20)-8[/tex]
[tex]R = \frac{4*20}{5}-8[/tex]
[tex]R = \frac{80}{5}-8[/tex]
[tex]R = 16 - 8[/tex]
[tex]R = 8[/tex]
Hence, R is at 8 on the number line
PLSSS.
:)))))))(( HELP!!!!!
Answer:
54
Step-by-step explanation:
In a stem and leaf plot, the stems are typically increments of ten. Therefore, 5, or 50, is the largest stem. Now, in that row, we have to find the biggest leaf. Luckily for us, in stem and leaf plots, the leaves are organized in a least-to-greatest order. We go down to the end of the row and boom! 4. Put the stem and leaf together and we have 54.
PLZ HELP I WILL GIVE 100 PTS
Your classmate writes that if y > x, then aˣ/aʸ = 1/a⁽ʸ⁻ˣ⁾ for all real numbers x and y.
Is your classmate correct? PLZ EXPLAIN
Answer:
yes your class mate is correct ..........
Answer:
Yes your class mate is correct
Find the perimeter of the figure below.
Answer: The missing side length is 5yd's and the perimeter is 84
Step-by-step explanation:
A paperclip manufacturer puts 75 paperclips in each box. Every hour the factory produces 114,375 paperclips. How many boxes does the factory fill each hour?
A
1,525
B
1,530
C
1,538
D
1,583
help this new school math is not for this mom
The mayor of a town has proposed a plan for the construction of an adjoining bridge. A political study took a sample of 1300 voters in the town and found that 38% of the residents favored construction. Using the data, a political strategist wants to test the claim that the percentage of residents who favor construction is over 35%. Testing at the 0.05 level, is there enough evidence to support the strategist's claim?
Answer:
We reject H₀, we have enough evidence to support the claim that the porcentage of residents who favor construction is over 35%
Step-by-step explanation:
Sample size n = 1300
Sample proportion p = 38 % = 0,38 then q = 62% q = 0,62
The size of the sample is enough to consider the binomial distribution can approximate to normal distribution
p*n = 1300*0,38 q*n = 1300*0,62
p*n > 10 q*n> 10
Population proportion 35% p₀ = 35 % p₀ = 0,35
Hypothesis Test :
Null Hypothesis H₀ p = p₀
Alternative Hypothesis Ha p > p₀
The hypothesis test is a one-tail test to the right
Significance Level α = 0,05 we go to z-table and find z(c)
z(c) = 1,64
To calculate z(s)
z(s) = ( p - p₀ ) / √ p*q/ n
z(s) = 0,38 - 0,35 / √ ( 0,38 * 0,62) / 1300
z(s) = 0,03 / 0,013
z(s) = 2,307
Comparing z(c) and z(s)
z(s) > z(c) 2,307 > 1,64
z(s) is in the rejection region for H₀, we must reject H₀
We have enough evidence to support the claim
Meal tickets at a large school cafeteria cost $4 for children and $9 for adults. On a certain day,
if 14 times as many children's tickets were bought as adult meal tickets, and the total revenue
from selling all tickets was $2,584, about how many children bought meal tickets?
Answer:
Let's define:
C = number of children tickets bought
A = number of adult tickets bought.
We know that "On a certain day, if 14 times as many children's tickets were bought as adult meal tickets"
Then we have:
C = 14*A
And we also know that:
"the total revenue from selling all tickets was $2,584"
Then:
C*$4 + A*$9 = $2,584
Then we have a system of equations:
C = 14*A
C*$4 + A*$9 = $2,584
The first step to solve these is to isolate one of the variables in one of the equations, and then replacing it in the other equation. We can already see that C is already isolated in the first equation, then we can just replace it in the second one to get:
(14*A)*$4 + A*$9 = $2,584
A*$56 + A*$9 = $2,584
A*$65 = $2,584
A = $2,584/$65 = 39.75
Here we should have a whole number, (So one of the numbers given may be incorrect) This is because we can not have a 0.75 of a ticket sold.
In this case, we know that:
C = A*14
C = 39.75*14 = 546.5
We could round this up to get a whole number; 547
About 547 children tickets were sold.
At 9 a.m., a freight train leaves Boston for NY C, traveling at an average rate of 24
miles per hour. At noon, a passenger train sets out on the same route, traveling at an
average rate of 60 miles per hour. How far from Boston do the two trains pass each
other?
Answer:
120 miles
Step-by-step explanation:
9:am is time
12:00 pm is time
Distance, speed, and time are the hints to solving the problem
Plz mark Brainliest
If $120.99 is charged for 654 units of electricity
used, find the cost of one unit of electricity,
plz help me solving this question step by step this is important for me
Answer:
The cost of one unit of electricity is $0.185
Step-by-step explanation:
Amount charged = $120.99
Units of electricity used = 654
The cost of a unit of electricity can be determined by dividing the amount charged by the number of units used.
So that,
cost of one unit of electricity = [tex]\frac{120.99}{654}[/tex]
= 0.185
cost of one unit of electricity = $0.185
This implies that the cost of electricity used is charged at $0.185 per unit.
Thus for 654 units of electricity used, the cost would be;
654 x $0.185 = $120.99
Name the property shown.
(9 + 3) + 2 = 9+ (3 + 2)
Answer:
associative property
Step-by-step explanation:
The associative property states that you can add or multiply regardless of how the numbers are grouped. By 'grouped' we mean 'how you use parenthesis'. In other words, if you are adding or multiplying it does not matter where you put the parenthesis. Add some parenthesis any where you like
a step by step solution. each step has clear instructions. Like a recioe
Answer:
there is no problem to solve
The amount a basketball coach spends at a sporting goods store depends on the number of basketballs the coach buys. The situation is represented by the function rule a= 13b.
Make a table of values and graph the function rule. Is the graph continuous or discrete? Explain.
Suppose the coach spent $117 before tax. How many basketballs did she buy?
The graph is discrete and the coach can buy 9 basketballs with $117.
What are Continuous and Discrete Functions?Continuous functions are those functions for which the value of function can take any number on a certain interval.
Discrete functions, on the other hand, takes separate and distinct values for the function.
The function here is,
a = 13 b
where a is the amount spending on the store and b is the number of basketball she buys.
(a) The table is shown below:
b : 0 1 2 3 4
a : 0 13 26 39 52
The graph is discrete because the function values are discrete.
(b) If the coach spent $117,
a = 117
b = a / 13
b = 117 / 13
b = 9
Hence the graph of the function is discrete and the coach can buy 9 basketballs with the given amount.
Learn more about Continuous and Discrete Functions, click :
https://brainly.com/question/29378899
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there are 36 students playing tag at recess. this is six times as many as are playing hopscotch which model shows the comparison
Answer:
6 are playing hopscotch
Step-by-step explanation:
Identify the corresponding sides
Answer:
B, D, and F
Step-by-step explanation:
Separate the triangles into WBY and WXZ
Get each side
for WBY
sides are YW, BY, WB
for WXZ
sides are ZW, XZ, and WX
Tell whether each relationship is a function.
PLEASE I NEED THIS RIGHT NOW PLEASE HURRY
Adjust to compatible numbers that count by 25s, and then subtract to estimate the difference. 252 - 23 =
Answer:
252
l----------l----------l----------l 252 changes to 250
225 250 275 300
23
l----------l---------l---------l 25 changes to 23
0 25 50 75
250-25=225
Step-by-step explanation:
Please help I need it plz
Answer:
your answer is goin to be -27
Answer:
b= -27
Step-by-step explanation:
-1/3b=9
or, b=9/-1/3
or, b= -27
hence b=-27
Lillian purchased a guitar from Smash Music Stores. It regularly sold
for $670, but was on sale at 10% off. She paid 8% tax. She bought it on
the installment plan and paid 15% of the total cost with tax as a down
payment. Her monthly
payments were $58 per month for one year.
a. What is the discount?
b. What is the sale price?
c. What is the sales tax?
d. What is the total cost of the guitar?
e. What is the down payment?
f. What is the total of the monthly payments?
g. What is the total she paid for the guitar on the installment
plan?
h. What is the finance charge?
To rent a certain meeting room, a college charges a reservation fee of $48 and an additional fee of $8.80 per hour. The film club wants to spend less than $100.80 on renting the meeting room. What are the possible amounts of time for which they could rent the meeting room? Use t for the number of hours the meeting room is rented, and solve your inequality for t.
Answer:
6 hours
Step-by-step explanation:
48 + 8.80
56.8 + 8.80
65.6 +8.80
74.4 + 8.80
83.2 +8.80
92 + 8.80
100.8
Use the drawing tools to form the correct answer on the number line.
Graph the solution set to this inequality.
31 – 11 > 71 + 9
Answer:
We conclude that
[tex]3x-11>7x+9\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x<-5\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:-5\right)\end{bmatrix}[/tex]
Please check the attached diagram which shows the solution on the number line.
Step-by-step explanation:
Given the inequality
[tex]3x-11>7x+9[/tex]
Add 11 to both sides
[tex]3x-11+11>7x+9+11[/tex]
Simplify
[tex]3x>7x+20[/tex]
Subtract 7 from both sides
[tex]3x-7x>7x+20-7x[/tex]
Simplify
[tex]-4x>20[/tex]
Multiply both sides by -1 (reverses the inequality)
[tex]\left(-4x\right)\left(-1\right)<20\left(-1\right)[/tex]
Simplify
[tex]4x<-20[/tex]
Divide both sides by 4
[tex]\frac{4x}{4}<\frac{-20}{4}[/tex]
Simplify
[tex]x<-5[/tex]
Therefore, we conclude that
[tex]3x-11>7x+9\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x<-5\:\\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:-5\right)\end{bmatrix}[/tex]
Please check the attached diagram which shows the solution on the number line.
What property does the following equation show? 5+7+9=7+5+9
Answer:
Commutative property of addition
Step-by-step explanation:
The commutative property of addition says that changing the order of addends does not change the sum.
Name:
11. Find the measure of each acute angle.
(2x + 6°
(5x + 14°
Answer:
A
Step-by-step explanation:
Dc is a little bit more than a few other things but I think it’s Going and the kids have to be in a different room yet I think it’s going on for me and my kids are in my car so I’m going to go get my car off at my moms and I can go pick it out I have a lot to go
find the value of x for which WXYZ must be a parallelogram
Answer:
x=9
Step-by-step explanation:
8x+7=5x+34
3x+7=34
3x=27
x=9
Answer:
the answer is 9
Step-by-step explanation:
I took the test
Segment BD is a midsegment of triangle AEC
Which equation could be used to find the value of x
A 39x-11=17x+6
B 39x-11=2(17x+6)
C 2(39x-11)=17x+6
D 2(39x-11)=2(17x+6)
Answer:
B 39x-11=2(17x+6)
Step-by-step explanation:
Find the difference -4 3/8 - -1 1/4
Answer: -3 2/8
Step-by-step explanation:
Answer:
-3.125
Step-by-step explanation:
51÷251=
Find the remainder
Answer:
0.20
Step-by-step explanation:
Answer/Step-by-step explanation:
How about we go bit by bit, attempt to decrease numerator to a number nearer to different of denominator which likewise ought to be measurable.
5^251/135*5^250/135*(25)^125/13Rem[5*(25)^125/13]Rem[5*(-1)^125/13]Rem[-5/13}Answer is 8
This is an exemplary illustration of Leftover portion Hypothesis, here on the off chance that you get befuddled as a result of negative remainder, at that point attempt to compose it in easier term this way,
-5 = 13*(-1) + 8 , here 8 is remainder. Remainder can also be 13+5 = 18 by writing like this,
-5 = 13*1 -18, but again dividing -18 by 13 will yield to value which we got earlier that’s 8.
Hope this helped!