Jackson biked k kilometers. Maria biked 8 more kilometers than Jackson. Peter biked 2 fewer kilometers than Jackson.
Drag and drop the expressions into the boxes to write an expression that represents the total number of kilometers Jackson, Maria, and Peter biked in all.
k
8
12
k+2
k+8
k+10
k-2
k-8
Answer:
Step-by-step explanation:
The expression for the total distance covered.
k + (k + 8) + (k - 2)
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Distance biked:
Jackson = k
Maria = k + 8
Peter = k - 2
Now,
The total distance biked.
= k + k + 8 + k - 2
= 3k + 6
= 3 (k + 2)
Thus,
The total distance covered is 3 (k + 2).
Learn more about expressions here:
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What is the perimeter of a rectangle that
is 5 inches by 3 inches?
Answer:16
Step-by-step explanation:
Someone pls help me with both :(
Answer:
5) A
6) D
Step-by-step explanation:
for 5) I did just looked up online
2.5% of 25,000
and I added it to 25,000
which was 26,265.625
so I looked up 2.5% of 26,265.625 and I kept doing it until the 5th year and I got estimated $28,285.21
for 6) I did similar to 5) but I used the numbers that were given
I looked up 4% of 1,250 and I did that twice and got $1,352.55
hope that helped ;)
Solve for the length of the hypotenuse
Answer:
5000
Step-by-step explanation:
In a right triangle ,
[tex] {c}^{2} = {a}^{2} + {b}^{2} [/tex]
[tex] = > c = \sqrt{ {a}^{2} + {b}^{2} } [/tex]
where -
c = hypotenusea & b = the other two sides of the triangleAccording to the question , let the hypotenuse of the triangle be 'c' . So ,
[tex]c = \sqrt{ {3000}^{2} + {4000}^{2} } [/tex]
[tex] = > c = \sqrt{9000000 + 16000000} [/tex]
[tex] = > c = \sqrt{25000000} = 5000[/tex]
Hence , c = 5000
Answer:
5000
Step-by-step explanation:
[tex]3000^{2}[/tex] + [tex]4000^{2}[/tex] = 25000000
[tex]\sqrt{25000000}[/tex] = 5000
What are four ways to represent functions?
A function shows the relationship between at least two variables. There are several ways to represent a function; some of them are:
Using tablesUsing equationsUsing graphsBy verbal expressionsTables
The following table shows the relationship between two variables x and y
[tex]\left[\begin{array}{cccccc}x&1&2&3&4&5\\y&2&4&6&8&10\end{array}\right][/tex]
Equations
Notice that the y values of the above table are twice the corresponding x-values.
So, the equation can be represented as:
[tex]y = 2x[/tex]
Graphs
See attachment for the graph of [tex]y = 2x[/tex]
Verbal
As stated above, the value of y is twice the value of x.
The above statement is a verbal representation of a function
Hence, a function can be represented with a table, graph, equation and verbally.
Read more about functions at:
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It costs $60 to reserve a movie theater for a party. There is also a charge of $3 for each person. Which expression represents the total cost to reserve a movie theater for n persons?
4 km
3 km
What is the length of the hypotenuse?
Answer:
5
Step-by-step explanation:
a^2 +b^2 = c^2
4^2 +3^2 =c^2
16 + 9 =c^2
25= c^2
5=c
can you help me with this question
Increase 40 by 50%
Answer:
60
Step-by-step explanation:
first you have to find 50% of 40 but multiplying 40 by .5 to get 20. then you add 20 to 40 to get your answer
Answer:
60!
Step-by-step explanation:
100% is 40
to increase that by 50, do 1.5 times 40
the answer to that is 60
help me and ill give brainly
Answer:
(-inf, 5)
Step-by-step explanation:
just the previous answer, in anothe r form
Solve for x in the following equation
2^(8x-8)=4^7x
Answer:
-4/3
Step-by-step explanation:
2^(8x-8)=4^7x
2^8x-8=4^7x
2^8x-8=4^2×7x
8x-8=2×7x
8x-8=14x
-8=14x-8x
-8=6x
-8/6=x
-4/3=x
x=-4/3
The table shows total number of cars rented everyday for a
week from Golden State Rentals, What is the estimated
average increase in car rentals per day for Tuesday through
Friday?
Golden State Car Rentals
M Tu
W
Th
F
Sa
Su
Day
Total cars
41
109 158 199 262 313 352
Answer:
182
Step-by-step explanation:
starting from TU witch is 109 you keep adding so you get the eqation
109+158+199+262=728
then it's 728 divied by (/) 4 becase that is how many you added and you get 182 cars
3. Create three quadratic equations that has one real solution.
Three quadratic equations that have one real solution are show below:
5x^2+3x^3+3^4 = 55
5x^2+3x^3+3^7 = 55
5x^2+3x^3+3^8 = 55
The circle with O has a circumference of 8pi inches. The central angle is 60 degrees. what is the length of the minor arc BSA
anyone knows the answer ?
Answer:
yes
Step-by-step explanation:
PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELPPPPPPPPPPPPPPPPPPPPPPPPP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE
SHOW YOUR WORK
Answer: 38
Step-by-step explanation:
3.8=19/5
u have to flip the reciprocal to divide by fraction so 1/10 will be just 10
Then u get 19/5 x 10
You can reduce the GCF so it would be 19 x 2
19 x 2 = 38
Or you can plug it into your calculator (3.8 x .1)
Convert the following repeating decimal to a fraction in simplest form.
.53
Graph the solution of this inequality:
350 > 125 + 150
10 20 30 40 50 60 70 80 90 100 110 120
Drag a point to the numb
Step-by-step explanation:
The given inequality is :
[tex]350\ge 125+15x[/tex] ....(1)
We need to draw graph of this inequality.
Subtract 125 from both sides.
[tex]350-125\ge 125-125+15x\\\\225\ge 15x[/tex]
Dividing 15 to both sides.
[tex]\dfrac{225}{15}\ge \dfrac{15x}{15}\\\\15\ge x[/tex]
Hence, the attached figure shows the graph for this inequality.
given the function f(x)=x^2+5,evaluate f(-10)
Answer:105
Step-by-step explanation:
please help with this.
9514 1404 393
Answer:
d. The triangles are not similar
Step-by-step explanation:
The angle between the given sides is the same, so we need to compare the side ratios. In ΔQRS, we have ...
QR/RS = 4/15
In ΔVTU, we have ...
VT/TU = 8/32 = 1/4 ≠ 4/15
The triangles are not similar because corresponding sides are not proportional.
How to convert 0.231 to fraction
Answer:
[tex] \huge \boxed{0.231 =\frac{231}{1000}} [/tex]
hope this helps.
Examine the following diagram:
Line c intersects lines a and b. Line d intersects lines a and b.
In the diagram, line c is a transversal of lines a and
.
Answer:
b
Step-by-step explanation:
i just took it on edge
Line c is a transversal of lines a and b. The blank space filled by b
According to the question blank statement is to be filled.
Line c intersects lines a and b. Line d intersects lines a and b
In the diagram, line c is a transversal of lines a and _____
A line is the shortest distance between two points or a straight curve with zero deflection in it.
Here,
If c intersects line a and line b, then line c is the transversal line for both a and b.
Thus, line c is a transversal of lines a and b.
Learn more about the line here:
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Element X is a radioactive isotope such that every 51 years, its mass decreases by half. Given that the initial mass of a sample of Element X is 7500 grams, how long would it be until the mass of the sample reached 6900 grams, to the nearest tenth of a year?
Answer: It will take 6 years for 7500 grams of X to reach 6900 grams.
Step-by-step explanation:
Expression for rate law for first order kinetics is given by:
[tex]t=\frac{2.303}{k}\log\frac{a}{a-x}[/tex]
where,
k = rate constant
t = age of sample
a = let initial amount of the reactant
a - x = amount left after decay process
a) for completion of half life:
Half life is the amount of time taken by a radioactive material to decay to half of its original value.
[tex]51=\frac{0.69}{k}[/tex]
[tex]k=\frac{0.69}{51}=0.0135years^{-1}[/tex]
b) for 7500 g to reach to 6900 g
[tex]t=\frac{2.303}{0.0135}\log\frac{7500}{6900}[/tex]
[tex]t=6years[/tex]
It will take 6 years for 7500 grams of X to reach 6900 grams.
PLEASE ANSWER QUICK!!! The volume of ammonia in a balloon is now 6.1 L after changing the temperature from 52 °C to 79 °C. What was the original volume?
Answer:
the original volume is 4.0L
Step-by-step explanation:
Step one:
given data
V1= ?
T1= 52 °C
V2= 6.1L
T2= 79° C
Step two
applying the volume temperature relationship, which is
V1/T1= V2/T2
substituting we have
V1/52= 6.1/79
cross multiply we have
52*6.1= V1*79
317.2= 79V1
divide both sides by 79
V1= 317.2/79
V1=4.0L
Hector is finding the volume of a cone and the volume of a cylinder. Both the cone and the cylinder have a radius of 3 inches and a height of 5 inches. What is the volume, in cubic inches, of the cone?
Answer:
the volume of the cone is
15in^3
Step-by-step explanation:
Step one:
parameters of the cone
radius r = 3 in
height h= 5 in
Step two:
the expression for the volume of the cone is
V= 1/3πr^2h
substitute
[tex]V= 1/3*3.142*3^2*5\\\\V=1/3*45\\\\V=15 in^3[/tex]
A ladder leans against a wall creating a 58 angle. The ladder reaches 4.5m up the wall. Calculate how long the ladder is
Answer:
Follow the steps above
Can yiu ANSWER ALL OF THEESE QUESTIONS :
1.Its cost $10.00 for 20 oranges. Is $2.00 per orange accurate?
2.Find the unit rate for 5 cans of chicken soup that cost a total of $2.00.
Answer:
yes number one yes the second one 2/5
Step-by-step explanation:
Answer: ok little Timmy
Step-by-step explanation:
1 = yes
2 = 10
Translate the sentence Into an equation.
Twice the difference of a number and 9 equals 7.
Use the variable b for the unknown number.
Answer: b - 9 = 7.
Step-by-step explanation:
What is the value of x? (-8x = 24) - 6x +18 - 122
Enter your answer in the box X=
Answer:
the value of x in x? (-8x = 24) - 6x +18 - 122 is x=40
Hope you do good :)
round to the nearest tenth
9514 1404 393
Answer:
21.4
Step-by-step explanation:
For this problem, you only need to know that the hypotenuse (x) is the longest side of the triangle. The only answer choice longer than 20 is ...
x = 21.4
__
If you want to actually go through the numbers, you know that ...
Cos = Adjacent/Hypotenuse
cos(21°) = 20/x
x = 20/cos(21°)
x ≈ 21.4
The sum of the interior angles of a triangle is equal to
Answer:
180°
Step-by-step explanation:
The sum of the 3 interior angles of a triangle = 180°