Lilliana is training for a marathon. She runs the same distance every day for a week on Monday,
Wednesday, and Friday, she runs 2 laps on a running trail and then runs 6 more miles. On Tuesday and
Sunday, she runs 4 laps on the trail and then runs 2 more miles. On Saturday, she just runs laps. How
many laps does Lilliana run on Saturday?
Answer: 6 miles
Step-by-step explanation:
WEDNESDAY + FRIDAY (# OF MILES)
The Miles Covered by Each Lap = 3x
The Miles on Top of That = 6
TUESDAY + SUNDAY (# OF MILES)
The Miles Covered by Each Lap = 5x
The Miles on Top of That = 2
You want to now put that into an equation! Therefore, you want to put the number of miles from Wednesday and Friday on one side and the number of miles from Tuesday and Sunday on the opposite side.
SOLVING EQUATION FOR MILES PER LAP
Step 1) 3x + 6 = 5x + 2
given equation from what we put together.
Step 2) -3x + 3x + 6 = 5x + 2 -3x
subtract 3x from both sides.
Step 3) -2 + 2x + 2 = 6 -2
subtract 2 from both sides.
Step 4) 2 × x = 4
divide both sides by 2 because you want to put the variable (x) on one side.
Step 5) x = 2 miles for each lap
Now you want to go look back at the equation and plug in 2 for the variable x.
Step 6) 5 ×2 + 2 = 12
PEMDAS!
Step 7) 12 ÷ 2 = 6
SHE RUNS 2 MILES ON SATURDAYS!
an airplane is change in alitude before landing is shown in the table
Answer:
wheres the table can you please provide one
Step-by-step explanation:
AnswerA= -4,000m
Step-by-step explanation:
1 35,000
2 31,000
3 27,000
4 23,000
Youre subtracting 4,000 everytime.
Over 4 months, Ms. Berg wrote 4 equal checks totaling $250 to pay for her salon services. How many did she withdraw from her account to pay for her services?
Answer:
$62.50 because
Step-by-step explanation:
250÷4=62r2
62.50•4=250
Ms. Beg withdraw $62.5 from her account to pay for her services.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
Given:
Ms. Berg wrote 4 equal checks totaling $250 to pay for her salon services.
to with
So, to withdraw from the account to pay for services each month
= 250/4
= 125/2
= 62.5
Hence, she withdraw $62.5 from her account to pay for her services.
Learn more about unitary Method here:
https://brainly.com/question/22056199
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help will do brainliest uwu I thought of a number, I added 1 3 4 to it, then I multiplied the result by 2 2 11 and I got 8. What was my number?
Answer:
152
Step-by-step explanation: 1+3=4+4=8x2=16x2=32x11=152
Yosef is trying to determine whether or not he drinks enough water each day today on average he drank 2/5 of a glass of water every hour for 10 hours, to determine how much water he had he set up the equation 2/5 x 10 =? What is the total amount of water yosef drak
Answer:
4 glasses
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
Rewrite as a simplified fraction.1. 6 =?
Answer:
1 3/5
Step-by-step explanation:
What is the slope-intercept form of 3x + 5y = -15?
3x+5y=1 in slope-intercept form is y=−35x+15 .
A squirrel needs to look for some nuts in the forest every day. It can find 24 nuts on a sunny
day and 10 nuts on a rainy day. If the squirrel found 98 nuts last week, write and solve a
system of equations in order to find:
How many sunny days were there in last week? |
sunny days
How many rainy days were there in last week?
rainy days
Answer:
24x+10y=98
2sunny days
5rainy days
Step-by-step explanation:
x=number of sunny days
y=number of rainy days
(2*24)+(10*5)=98
vualah :)
A banquet hall is divided into two sections that both have tables with chairs arranged around them. In the smaller section, there are 9 tables with 6 chairs each. In the larger section, there are currently 4 tables with 8 chairs each. More tables, each with 8 chairs, will be added to this larger section so that there will be 126 total chairs in the banquet hall. Which equation could be used to determine how many more tables, t, each with 8 chairs, are needed in the larger section?
Answer:
The equation that could be used to determine how many more tables, t, each with 8 chairs, that are needed in the larger section is
8t + 86 = 126 OR 8t = 40
Step-by-step explanation:
From the question,
In the smaller section of the banquet hall, there are 9 tables with 6 chairs each.
This means there are 9 × 6 chairs there
9 × 6 = 54
Hence, there are 54 chairs in the smaller section of the banquet hall.
Also, from the question,
In the larger section of the banquet hall, there are currently 4 tables with 8 chairs each.
This means there are 4 × 8 chairs there presently
4 × 8 = 32
Hence, there are currently 32 chairs in the larger section of banquet hall.
From the question,
More tables, each with 8 chairs, will be added to this larger section so that there will be 126 total chairs in the banquet hall.
If t more tables are to be added,
This means that t × 8 (8t) chairs will be added to the larger section so that there will be 126 total chairs in the banquet hall.
The total chair in the banquet hall will be = Total number of chairs in the smaller section + Current number of chairs in the larger section + Number of chairs to be added to the larger section
Therefore,
126 = 54 + 32 + 8t
126 = 86 + 8t
Then,
8t + 86 = 126
8t = 126 - 86
8t = 40
This equation can be used to determine how many more tables, t, each with 8 chairs, that are needed in the larger section.
Hence, the equation that could be used to determine how many more tables, t, each with 8 chairs, that are needed in the larger section is
8t + 86 = 126 OR 8t = 40.
If desired,
8t = 40
t = 40/8
t = 5
Hence, 5 more tables are needed in the larger section.
Liam has this spinner.
red
green
blue
yellow
red
green
blue
red
Liam will spin the pointer one time.
What is the probability that the pointer will land on red?
What does reflecting over each axis do to a function algebra 2
The data set {+3, -1, -2, +1} shows the moves a player made forward or backward in a board game. Graph the moves the player made. Explain the meaning of zero in this situation.
HELP PLEASE!!!! 35 POINTS
Answer:
Meaning of 0: Player has moved backwards in such a way, that they are back at the start.
Step-by-step explanation:
Graph is in the picture.
A regression equation for this line is y = -0.42x + 19.26 a. What do the slope and y-intercept indicate? The slope indicates that the percent in 1985 should have been about 19%. The y-intercept indicates that the percent is falling at about 0.4% each year. b. The slope indicates that the percent is falling at about 0.4% each year. The y-intercept indicates the percent in 1985 should have been about 19%. The slope indicates tha the percent has remained the same for each year. The y-intercept indicates the percent in 1985 should have been 22%. d. There is not enough information to determine what the slope and y-intercept indicate.
Answer:
B.The slope indicates that the percent is falling at about 0.4% each year. The y-intercept indicates the percent in 1985 should have been about 19%.
Step-by-step explanation:
A regression equation is it this form:
Y' = b0 + b1X
I am going to identify the slope and intercept in this equation to help us go further in our solution.
b1X is the slope. The slope usually has an x value multiplied to it
b0 is the intercept.
Back to our question, the equation in this question is
Y = -0.42X + 19.26
The slope is -0.42X.
The y intercept is 19.26
The slope has a negative sign, this shows us that the percentage is falling by about 0.4% every year while an intercept of 19.26 tells us that percentage in 1985 should have been about 19%.
I hope you found my solution useful?
3 5 of students at a school are boys. If there are 2610 students at the school, how many are girls?
Answer:
1044 girls in the school
Step-by-step explanation:
3/5*2610=1566 boys
2610-1566-1044 girls
it should be 1044 because
3/5=.6 or 60%boys and 40% girls
2610 * 60% or .6 = 1566 boys
2610 - 1566boys = 1044 girls
or
2610 * 40% or .4 = 1044 girls
so there are 1044 girls at the school
S is in the interior of ∠RQT. m∠RQS=(4x-20)°,m∠SQT=(3x+14)°, and m∠RQT=155°
Step-by-step explanation:
Since we are not told what to look for, we can as well look for the value of x, m∠SQT and m∠RQS
Given
m∠RQS=(4x-20)°
m∠SQT=(3x+14)°
m∠RQT=155°
The addition postulate is true
m∠RQT= m∠RQS + m∠SQT
Substitute the given parameters into the formula
155 = 4x-20+3x+14
155 = 7x-6
7x = 155+6
7x = 161
x = 161/7
x = 23
Solve for m∠RQS
m∠RQS = 4x-20
m∠RQS = 4(23)-20
m∠RQS = 92-20
m∠RQS = 72°
Solve for m∠SQT
m∠SQT = 3x+14
m∠SQT = 3(23)+14
m∠SQT = 69+14
m∠SQT = 83°
1
bushels
A farmer has 140 bushels of wheat to sell at his roadside stand. He sells an average of 16
each day. Represent the total change in the number of bushels he has for sale after 5 days.
The total change in the number of bushels he has for sale is I.
(Type an integer, proper fraction, or mixed number.)
Answer: 60
Step-by-step explanation:
If he sells 16 each day after 5 days he would sell 80 leaving him with 60 bushels of wheat
In 2016, Southwest Airlines boasted that 70% of its flights were on time. If we select 8 Southwest flights at random and assume independence, what is the probability that at least 3 flights are on time
Answer: 0.9887
Step-by-step explanation:
Let p be the probability that flights are on time.
As per given, p =70% = 0.7
Sample size : n = 8
Let x be a binomial variable that represents the number of fights are on time ( i.e. success).
Using binomial formula: [tex]P(X=x) = \ ^nC_xp^x(1-p)^{n-x}[/tex]
Now, the probability that at least 3 flights are on time = [tex]P(X\geq 3)=1-P(X<3)\\\\=1-[P(X=0)+P(X=1)+P(X=2)]\\\\=1-[^8C_0(0.7)^0(0.3)^8+^8C_1(0.7)^1(0.3)^7+^8C_2(0.7)^2(0.3)^6]\\\\=1-[(0.3)^8+8(0.7)(0.3)^7+\dfrac{8!}{2!6!}(0.7)^2(0.3)^6]\\\\=1-[0.00006561+0.00122472+0.01000188]\\\\=1-0.01129221\\\\=0.98870779\approx\ 0.9887[/tex]
The probability that at least 3 flights are on time = 0.9887
i have a test and only have an hour please hurry!
90 / 3* (9 +6)=?
Answer:
450
Step-by-step explanation:
9+6= 15
90/3= 30
30*15=450
I'm Using my last points will give brainliest geometry - finding angles with justification (level 1) delta math Please do step by step and pick reasoning for each
here are reasonings to pick from:
verticle angles
Linear pair (or triples)
Congruent angles
sum of angles in a triangle
sum of angles in a quadrilateral
Base angles of an isosceles triangle
Angle bisector definition
corresponding angles
alternate interior angles
alternate exterior angles
same - side interior angles
angle addition postulate
angle subtraction postulate
perpendicular lines form right angles
Answer:
m<GFC = 69 degrees
Step-by-step explanation:
The angle with 37 degrees is congruent with the angle on the left of 74 because of the Alternate Interior Angles Postulate
The last angle in the triangle that you don't know the degrees of is on the right of angle 74 because of the Alternate Interior Angles Postulate
So 37+74+ (the degree we don't know of the triangle) = 180 because of linear triples
180 - (37+74) = 69
So the angle on the right of angle 74 = 69
So m<GFC = 69 degrees
Answer:
Its 69
Step-by-step explanation:
the three measures will add up to 180 so all you hace to do is add the angles given and subtract that from 180 to find x
f(x)=x^2 to f(x)= -4(x+6)^2-3
. Solve for x. Show your work: 4(x+1)= -3x-10 :)
Answer:
x = - 2
Step-by-step explanation:
Distribute
4(x + 1) = -3x - 10
4x + 4 = -3x - 10
Subtract 4 from both sides of the equation
4x + 4 = -3x - 10
4x + 4 − 4 = −3x − 10 − 4
Simplify
Subtract the numbers
4x+4−4=−3x−10−4
4 = − 3 − 1 0 − 4
Subtract the numbers again
4 = − 3 − 14
Add 3x to both sides of the equation
4 = − 3 x − 1 4
4 + 3 = − 3 − 1 4 + 3
Simplify
Combine like terms
4 + 3 = -3x-14+3x
7x =−3x−14+3x
Divide both sides of the equation by the same term
7 = − 1 4
7 /7 = -14/7
Cancel terms that are in both the numerator and denominator
7x/7 = -14/7
x = -14/7
Divide the numbers
= − 1 4 /7
= − 2
[tex](15+23)+7=15+(_______+7)[/tex]
I NEED HELP LIKE REALLY REALLY FAST
Answer:
56 inches I believe.
I'm not 100% sure.
The surface area is 50 square inches
Norbert’s Nursery is having a sale. Flats of flowers are priced as marked, including tax. Jake buys 2 flats of petunias at $5.25, 3 flats of daisies at $7.65, and 1 flat of begonias at $8.40. If he pays with a $50 bill, how much change should Jake receive?
Answer:
I am a student. Jake should receive 8.15 dollars in change. Please pick me brainliest! I am new to this website and I wanna help.
Step-by-step explanation:
Find the slope and the y-intercept of the line.
y=2x-9
Answer: The Slope Is: m=2. The y -intercept Is: b=9 or (0,9) hope this helps :)
Step-by-step explanation:
Organic hot dogs at the grocery store cost $2.00 each. At a major league baseball game, an organic hot dog costs $6.50. How much does the baseball field mark up its organic hot dogs?
Answer: 4.50
Step-by-step explanation:
6.50 minus 2.00 is 4.50
DIRECTIONS: Use this information to answer Parts A and B.
A clothing company has 4,630 shirts to ship. They can fit 130 shirts in a shipping box.
Part A
How many boxes are needed to ship all the shirts?
Enter the correct answer in the box.
Hint
Divide the number of shirts by the number of shirts per box.
Answer:
4630/130=35.6 so just round to 36 with a remainder of a few shirts
Step-by-step explanation:
1
Five friends went to the movies and each spent $5 on a ticket per movie and $2 on a bag of popcorn. They saw 2 movies. The movies also had a deal of pizza and a large bottle of soda for $12, which they split. How much did each friend pay for the movie trip and pizza?
Answer:
5+2 + 12/5 = $9.40
Step-by-step explanation:
I NEED HELP REALLY REALLY FAST
Answer:
360
Step-by-step explanation:
360 because you multiply the height times the width and you get your answer hopefully this helps you
What is the percentage of change from 400 to 300?
Answer:
25%
Step-by-step explanation:
Answer:
25%
Step-by-step explanation:
400*.25=100
400-100=300
Hope this helps!!