Jones family will travel for 311 miles on day 1 , 511 miles on day 2 and 236 miles on day 3.
It is given that on day 2 , Jones family travel for 200 miles more than day 1 and on day 3 for 75 miles less than day 1.
We have to find out distance travelled on each day of trip if total distance of trip is 1058 miles.
What is algebra ?
Algebra is the branch that deals with various symbols and the arithmetic operations such as addition , subtraction , etc.
As per the questions ;
Jones family has a trip of 3 days.
Let's assume they travel distance of x miles on first day.
Distance they will travel on second day = x + 200 miles
Distance they will travel on third day = x - 75 miles
Total distance of trip = 1058 miles
i.e.,
x + (x + 200) + (x - 75) = 1058 miles
3x + 125 = 1058
3x = 1058 - 125
3x = 933
x = 311 miles
So , they travel for a distance of 311 miles on day 1.
&
On day 2 ;
= 311 + 200
= 511 miles
&
on day 3 ;
= 311 - 75
= 236 miles
Thus , Jones family will travel for 311 miles on day 1 , 511 miles on day 2 and 236 miles on day 3.
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Candace used a compass to draw the circle shown here. She then used the same compass setting to mark off arcs on
the circumference. She kept making arcs until she met her starting point. What figure will she form if she joins the arc
marks in order?
A)an irregular hexagon
B)a regular hexagon
C)overlapping triangles
D)no figure will be formed
Answer:
B
Step-by-step explanation:
Candace used a compass to draw the circle shown here. She then used the same compass setting to mark off arcs on the circumference. She kept making arcs until she met her starting point. In this way, she has marked 6 arcs. When connecting all points (intersection points), the formed figure will be a hexagon.
Since all arc have the same measure, this hexagon will be regular hexagon (hexagon with all congruent sides).
Answer:
the answer is "a regular hexagon"(B)
Step-by-step explanation:
There's no better way to answer it then how frika did.
Which pair of rectangles is similar? Plzzzx help me
Option 1 is correct
Step-by-step explanation:
Similarity means two images having same shape or one image can be obtained by uniformly scaling the other image.
In the given options, one rectangle is larger and the other is smaller so we have to check which pair of rectangles contain rectangle that is obtained by scaling the other rectangle.
So
We can find the scale factor by dividing the sides of larger rectangle by dividing the respective sides in smaller rectangle.
Option 1:
[tex]Scale\ for\ length = \frac{9}{3} = 3\\Scale\ for\ width = \frac{15}{4} = 3.75[/tex]
As the scale is not same for both sides ( not uniform), so the rectangles are not similar
Option 2:
[tex]Scale\ for\ length = \frac{6}{2} = 3\\Scale\ for\ width = \frac{8}{4} = 2[/tex]
As the scale is not same for both sides ( not uniform), so the rectangles are not similar
Option 3:
[tex]Scale\ for\ length = \frac{6}{3} = 2\\Scale\ for\ width = \frac{15}{8} = 1.875[/tex]
As the scale is not same for both sides ( not uniform), so the rectangles are not similar
Option 4:
[tex]Scale\ for\ length = \frac{9}{3} = 3\\Scale\ for\ width = \frac{12}{4} = 3[/tex]
As the scale is same for both sides(Uniform), so the rectangles are similar
Hence,
Option 1 is correct
Keywords: Rectangles, similarity
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What is 1 + 1 times the square root of pie times by 0.005
Answer:
[tex]1+1\cdot \sqrt{\pi }\cdot 0.005=1[/tex]
Final answer:
The expression 1 + 1 times the square root of pi times by 0.005 requires calculating the square root of pi, multiplying by 0.005, and adding that product to 1, following the order of operations.
Explanation:
To solve the equation 1 + 1 times the square root of pi times by 0.005, follow the order of operations, also known as PEMDAS (Parentheses, Exponents, Multiplication and Division, and Addition and Subtraction). The equation can be unfolded as 1 + 0.005√π.
Now, to solve this equation we follow the below steps:
For π = 3.14, the value of √π is 1.77Multiplying 1.77 with 0.005 we have 0.0088Adding 1 to 0.0088 we have the final result as 1.0088So, the value of 1 + 0.005√π is 1.0088.
Below is a map of Yellowstone Park. The scale for the map is 1cm = 25 miles.
Mrs. Fowler went on a trip from Old Faithful to Canyon.
What is the actual distance from Old Faithful to Canyon in MILES?
A 5 miles
B 62.5 miles
C 15 miles
D 75 miles
Answer:
Option D. 75 miles
Step-by-step explanation:
Looking at the Yellowstone Park map we can see that Mrs. Folwer went from Old Faitful to the Canyon by covering a straight line of [tex]3cm[/tex].
This tells us that we do not need extra calculations to find the distance covered on the map. We also know that the map scale is given as [tex]1cm=25miles[/tex]. So similarly we do not need to do extra ratio conversions.
Thus we know that if [tex]1cm=25miles[/tex] and she covered [tex]3cm[/tex] on the map, we can just multiply covered distance with the equivalency of [tex]cm[/tex] in [tex]miles[/tex] as follow:
[tex]Distance=(3cm) (25 miles)=75miles[/tex]
Thus Mrs. Folwer's actual distance from Old Faithful to Canyon in Miles is 75 miles. (which is given in Option D.)
Circle in the coordinate plane??
Answer:
2, -2, 9
Step-by-step explanation:
since your center is (2, -2) and your radius is 3 units.
Janelle and Lisbeth are picking berries. Janelle picks Three-fourths of a quart more than Lisbeth picks every hour. The equation representing the scenario is 3 (x) + 3 (x + three-fourths) = 8. Which statements about the scenario and the equation are true? Check all that apply.
Answer:
The scenario is translated to Lisbeth's berries + Janelle's berries = 8 quarts.The expression x represents the quarts of berries that Lisbeth picks each hour.The girls picked berries for 3 hoursStep-by-step explanation:
i) Lisbeth picks x quarts berries every hour is given.
ii) Janelle picks (x + three fourths) quarts berries every hour is also given.
iii) It is also give that if Janelle and Lisbeth pick berries for 3 hours then the
equation representing that fact is given by 3(x) + 3(x+three-fourths) = 8
iv)From the above three equations we can say that the following are true
The scenario is translated to Lisbeth's berries + Janelle's berries = 8 quarts.The expression x represents the quarts of berries that Lisbeth picks each hour.The girls picked berries for 3 hours.A bank offers a CD that pays a simple interest rate of 6%. How much must you put in this CD now in order to have $11 comma 700 to replace all the windows in your house in 5 years?
Answer:
You should invest US$ 9,000 in the CD to replace all the windows in your house.
Step-by-step explanation:
Let's recall that the simple interest formula is:
A = P * (1 + r * t), where,
A = final amount
P = initial principal balance
r = annual interest rate
t = time (in years)
Replacing with the real value, we have:
11,700 = P * (1 + 0.06 * 5)
11,700 = P * (1.3)
P = 11,700/1.3
P = 9,000
You should invest US$ 9,000 in the CD to replace all the windows in your house in 5 years.
To calculate the initial deposit for a CD with a 6% simple interest rate in order to have $11,700 in 5 years, you can use the simple interest formula. The formula is rearranged to solve for the initial deposit amount: P = I / RT, where 'P' is the initial deposit, 'I' is the desired amount, 'R' is the interest rate, 'T' is the CD term.
Explanation:The subject of the question is about how much initial deposit you must put into a CD with a simple interest rate of 6% in order to have $11,700 in 5 years. You can find this out by using the formula for simple interest, which is I = PRT. 'I' is the interest, 'P' is the principal amount (what you want to find out), 'R' is the rate of interest, and 'T' is the time in years.
Since you want to find out 'P' (the principal amount), you'd rearrange the formula to P = I / RT. Now you substitute 'I' with $11,700, 'R' with 0.06 (6% expressed as a decimal), and 'T' with 5 years. So, P = $11,700 / (0.06 * 5). From this calculation, you'll be able to determine how much money you need to deposit now into your CD to reach your goal.
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The table compares the initial amount of fuel Li Jing's car had, and the total distance she traveled using that amount, in several different occasions.
Can the total distance be represented as a function of fuel?
Fuel (liters) 1st # , Distance (kilometers) 2nd #
30 100
35 120
40 140
35 120
45 160
25 90
30 100
20 80
Yes or No and why?
Answer:
answer is yes
Step-by-step explanation:
Yes, the total distance can be represented as a function of fuel. The relationship between the two variables can be represented by a linear function. By calculating the slope and y-intercept of the line, we can determine the equation representing the total distance as a function of fuel. which is y = 4x - 20
Explanation:Yes, the total distance can be represented as a function of fuel. In this case, the fuel can be considered as the independent variable and the total distance as the dependent variable. By analyzing the table, we can observe that as the amount of fuel increases, the total distance also increases. This relationship can be represented using a linear function, since the data points seem to form a straight line.
A linear function can be written in the form y = mx + b, where y represents the total distance, x represents the amount of fuel, m represents the slope of the line (which indicates how the total distance changes with each unit of fuel), and b represents the y-intercept (which represents the initial distance when there is no fuel).
By calculating the slope of the line using two data points, we can determine the equation of the linear function. For example, using the first and second data points, we can calculate the slope as:
m = (120 - 100) / (35 - 30) = 20 / 5 = 4
With this information, we can write the function representing the total distance as a function of fuel:
y = 4x + b
To determine the value of b (the y-intercept), we can select any data point and substitute the values of x and y into the function. Let's use the first data point:
100 = 4(30) + b
Solving this equation, we find that b = -20.
Therefore, the equation representing the total distance as a function of fuel is:
y = 4x - 20
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Four friends are going to split the cost of a pizza. If p stands for the cost of the pizza, which of the following expressions could represent what each friend will pay?
A.4p
B.p - 4
C.p
D.p/4
Answer: A
Step-by-step explanation:
Answer: A.) 4p
Step-by-step explanation:
Simplify the expression 2(10)+2(×-4)
Answer:
Step-by-step explanation:
22x-88
20+2(x-4)
22x-88
What is the mean of 12,9,17,15,10
Answer:
12.6
Step-by-step explanation:
Add them together and divide by the amount of numbers
Help plz?!
A and B are complementary angles. If m A is 30°, what is the measure of B?
A:60°
B:150°
C: 40°
D: 90°
your answer is 60 Degrees because 60 + 30 = 90 degrees
( you need it to sum to 90 Degrees)
The three-dimensional figure below is a solid rectangular prism with a hole in the shape of another rectangular prism going through the center of it. Find the volume of the solid in cubic millimeters.
A.60
B.300
C.540
D.780
What is the domain of f(x)=1\2x
Answer:
Domain:(-∞,∞),(x∈R)
Pollsters take a survey of people at a ball game to collect and analyze data about favorite leisure activities of Star City’s residents. Would this study be biased? Why or why not?
Answer:
D: Yes, it is biased. The sample of people at the ball park is not representative of Star City’s residents.
Step-by-step explanation:
Just finished the quiz on edge.
The result is biased because it is not representative of all the residents of Star City.
What is bias?Bias in research has to do a delibrate attaept to tilt the outcome of a study towards a particular result . The survey described here ought to be representative.
The fact that only the people at a ball game were polled shows that the survey is not representative of all the residents of Star City.
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Solve 7 2/3 - 6 1/8 =
Answer:
1 13/24
Step-by-step explanation:
What do u call a destroyed angle
A rect angle cause the angle is reckt
A destroyed angle is called a zero angle in mathematics.
Explanation:In mathematics, a destroyed angle is typically referred to as a zero angle. A zero angle is an angle that measures 0 degrees. It is formed when two lines coincide and create a straight line.
For example, if you have two lines that are parallel to each other and you take a protractor to measure the angle between them, you would get a measurement of 0 degrees, indicating a zero angle.
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what is the minimum value of y = 3x2 + 12x − 4,
Answer:
-16
Step-by-step explanation:
The minimum value is at the vertex
The x coordinate of the vertex = -b/2a
X = - 12/6 = - 2
Substituting the value of x in the equation
Y=3(-2)²+12(-2)-4
Y=3(4)-24-4
Y=12-24-4
Y=-16
Solve for x.
-25x + 175 > 225 and 5x - 83 ≥ - 73
Answer: No Solutions
Step-by-step explanation:
Help ASAP ! Please !!!
Answer:
Step-by-step explanation:
Volume = 4/3πr³
= 4/3*22/7*7*7*7
= 4*22*7*7*7/3*7
=4*22*7*7/3= 4312/3
= 1437.3 cm³
Which ordered pair is a solution of the equation?
y = 4x +9
Choose 1 answer:
Only (-3,3)
Only (–2, 2)
Both (–3, 3) and (-2, 2)
Neither
Neither of the ordered pairs is a solution to the equation y = 4x + 9.
The correct option is Neither.
Which of the ordered pairs is a solution?Given the equation in the question:
y = 4x + 9
To determine which ordered pair is a solution of the equation y = 4x + 9, you can plug each pair into the equation and see if it holds true.
y = 4x + 9
For (-3, 3):
y = 4x + 9
Plug in the x and y values:
3 = 4(-3) + 9
3 = -12 + 9
3 = -3
(-3, 3) is not a solution.
For (-2, 2):
y = 4x + 9
Plug in the x and y values:
2 = 4(-2) + 9
2 = -8 + 9
2 = 1
(-2, 2) is not a solution.
The option Neither is the correct answer.
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There are 1,087 souvenir paperweights that need to be packed in boxes. Each box will hold 11 paperweights. How many boxes will be needed? boxes will be needed to hold all the souvenir paperweights.
Answer:
99 boxes (98.8181818182 rounded)
Step-by-step explanation:
All you do is divide 1087 by 11 and then round, 98 full boxes and 1 not totally full
Will mark brainliest and 15 points, please and thank you
Answer:
Student 3 and Student 4
Step-by-step explanation:
Expand equation of Student 3
y = 2 (x - 1)
y = 2x -2, which is the same equation as student 4.
Find y by itself 7y=14x-21
Answer: y=2x-3
Step-by-step explanation:
divide both sides by 7
7y/7=(14x-21)/7
y=2x-3
Solve for X.
-10
10
180
125
Answer:
x+125+x+75=180
2x+200=180
2x=-20
x= -10
-10+75= 65
-10+125=115
-12=
−12=
\,\,-2a+6
−2a+6
a = 9
Step-by-step explanation:
We are given -12 = -2a +6
so to find the value of a,
move 6 from rhs to lhs by changing its sign
rhs = right hand side
lhs = left hand side
-12 - 6 = - 2a
-18 = -2a
dividing -18 by -2, we get a = 9
Hence, a = 9 is the required answer.
Hey, can yall help me with this question?
SIR YOUR ANSWER IS B. I K FO SHO. THANK YOU. HOPE THIS HELPS. MIND MARKING BRAINLIEST AGAIN? XD THANKS
Blake Ewasko's charge account uses the unpaid balance method to compute the finance
charges at a monthly periodic rate of 2.15%. During the month, he charged $189.34, made a 100.00
payment, and had a $21.54 finance charge. Find Blake's new balance.
Answer:
$1,114.66
Step-by-step explanation:
Data provided in the question:
Monthly periodic rate = 2.15% = 0.0215
current Charges = $189.34
Payment made = $100.00
Finance charge = $21.54
Now,
Previous balance = Finance charges ÷ Rate
= $21.54 ÷ 0.0215
= $1001.86
Unpaid balance = Previous balance + Current charges - Payment
= $1001.86 + $189.34 - $100.00
= $1091.2
New balance = Unpaid balance × ( 1 + Rate )
= $1091.2 × ( 1 + 0.0215)
= $1,114.66
Given Information in the question:
Monthly periodic rate = 2.15% = 0.0215 Current Charges = $189.34 Payment made = $100.00 Finance charge = $21.54
Previous balance = Finance charges ÷ Rate
Previous balance = $21.54 ÷ 0.0215 Previous balance = $1001.86Unpaid balance = Previous balance + Current charges - Payment
Unpaid balance = $1001.86 + $189.34 - $100.00 Unpaid balance = $1091.2
New balance = Unpaid balance × ( 1 + Rate )
New balance= $1091.2 × ( 1 + 0.0215) New balance= $1,114.66Blake's new balance is $1114.66.
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4 1/2÷ 1 1/4 correctly answer in simplest form
Answer:
3 3/5
Step-by-step explanation:
can someone slove this with substitution plss
Answer:
x=-9/4 and y=5/2
Step-by-step explanation: