Answer:
$13.14
Step-by-step explanation:
60 mi/1 hour = x mi/1.5 hours
x = 90 mi to drive to work
25 mi/1 gallon = 90 mi/y gallons
y = 3.6 gallons to get to work
$3.65/1 gallon = $z/3.6 gallons
z = $13.14
Justin spends $13.14 on gas to get to work.
What is an Equation?An equation is a mathematical statement formed when two expressions are equated using an equal sign.
The equations are useful in determination of unknown parameters.
The average speed of Justin when he goes to work is 60 miles/hour.
The time taken to reach to work is 1 hour 30 minutes.
Justin's car travels 25 miles for 1 gallon of gas.
The cost for one gallon of gas is $3.65 per gallon.
The total miles travelled is 60 miles/ hour * 1 hour 30 minutes.
Total miles travelled = 60 * (1.5)
Total miles travelled = 90 miles
The gas used for 25 miles is 1 gallon
The gas used for 90 miles is 90/25 = 3.6 gallon.
The cost of gas is $3.65 per gallon
The cost of 3.6 gallon is 3.65 *3.65
The cost of the gas used to get to work is $13.14.
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The question is in the picture
PLEASE HURRY!!!!
Answer:
1, 3, 5
Step-by-step explanation:
Answer:
A, C, and E
Step-by-step explanation:
Explanation for A.) 25 x the number of shirts has to be less than 300 and this means 25s < 300
Explanation for C.) Divide both sides by 25 which turns it into s < 12. < = open circle.
Explanation for E.) The value of s is less than the value of 12 which means the arrow points left.
When is a lower annual interest rate better than a low annual fee?
Answer:
Lower annual interest in real terms is a relief to customers because it can go across a monthly payment like in a product purchase with a credit card. A low annual fee is just one payment that can be a certain membership of which happens only on an annual basis.
Answer:
Lower annual interest in real terms is a relief to customers because it can go across a monthly payment like in a product purchase with a credit card. A low annual fee is just one payment that can be a certain membership of which happens only on an annual basis.
Step-by-step explanation:
edge
Solve the equation
3x +5 = 20
Pls
Answer:
x = 5Step-by-step explanation:
[tex]3x+5=20\qquad\text{subtract 5 from both sides}\\\\3x+5-5=20-5\\\\3x=15\qquad\text{divide both sides by 3}\\\\\dfrac{3x}{3}=\dfrac{15}{3}\\\\x=5[/tex]
Answer:
x = 5.
Step-by-step explanation:
3x +5 = 20
Subtract 5 from both sides:
3x + 5 - 5 = 20 - 5
3x = 15
Divide both sides by 3:
x = 15/3
x = 5.
A board game has a spinner divided into sections of equal size. Each section is labeled with a number between 1 and 5.
Which number is a reasonable estimate of the number of times the spinner will land on a section labeled 5 over the course of 120 spins?
Answer:
I would say 24
Step-by-step explanation:
24 is 1/5 of 120
Which of the descriptions below best describes the location of the point (8, 0)?
Answer:
up 8 on the y axis
Step-by-step explanation:
A bag contains two red marbles and three blue marbles. You randomly pick a marble.
Find the surface area of the present.
cm2
20 cm
20 cm
-
20 cm
The surface area of the present in the shape of a cube is 2,400 square centimeters.
The present takes the shape of a cube.
The formula for the surface area of a cube is expressed as:
Surface area = 6( a² )
Where a is the edge length.
From the figure, the edge length of the present is;
Edge length a = 20cm
Surface area =?
To determine the surface area of the present, plug the given value into the above formula:
Surface area = 6( a² )
Surface area = 6( 20² )
Surface area = 6( 400 )
Surface area = 2,400 cm²
Therefore, the surface area measures 2,400 cm².
This question is not complete, the complete question is:
The present shown below is a cube.
Find the surface area of the present.
How to find the missing value of ?+59 5/8 =82 2/3
Answer: 23 1/24
Step-by-step explanation:
There's no divisible number, hence multiply the two denominators to get 24
Then solve to get: 23 16 -15/24
23 1/24
Find an equation of the line that passes through the points (-5, -3) and (3, 1)
[tex]\bf (\stackrel{x_1}{-5}~,~\stackrel{y_1}{-3})\quad (\stackrel{x_2}{3}~,~\stackrel{y_2}{1}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{1}-\stackrel{y1}{(-3)}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{(-5)}}}\implies \cfrac{1+3}{3+5}\implies \cfrac{4}{8}\implies \cfrac{1}{2}[/tex]
[tex]\bf \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-3)}=\stackrel{m}{\cfrac{1}{2}}[x-\stackrel{x_1}{(-5)}]\implies y+3=\cfrac{1}{2}(x+5) \\\\\\ y+3=\cfrac{1}{2}x+\cfrac{5}{2}\implies y=\cfrac{1}{2}x+\cfrac{5}{2}-3\implies y = \cfrac{1}{2}x-\cfrac{1}{2}[/tex]
Answer:
x - 2y - 7 = 0
Step-by-step explanation:
To find the equation of a line that passes through (-5, -3) and (3,1)
All we need to do is to use the find the slope and then plug it into the straight line equation
straight line equation : y - [tex]y_{1}[/tex] = m (x - [tex]x_{1}[/tex])
[tex]x_{1}[/tex] = -5 [tex]y_{1}[/tex] = -3 [tex]x_{2}[/tex] = 3 [tex]y_{2}[/tex] = 1
m = slope = [tex]y_{2}[/tex] - [tex]y_{1}[/tex] / [tex]x_{2}[/tex] - [tex]x_{1}[/tex]
= 1 -(-3) / 3 -(-5)
=4/8
=1/2
m=1/2
So, we can now plug in our value into the equation;
y - [tex]y_{1}[/tex] = m (x - [tex]x_{1}[/tex])
y - (-5) = [tex]\frac{1}{2}[/tex] [x - (-3)]
y + 5 = [tex]\frac{1}{2}[/tex](x+3)
y + 5 = [tex]\frac{x + 3}{2}[/tex]
cross-multiply
2(y + 5) = x + 3
2y + 10 = x + 3
take 2y and 10 to the right-hand side of the equation;
x + 3 - 2y - 10 = 0
x - 2y - 7 = 0
Therefore the equation of the line is x - 2y - 7 = 0
What is the probability of getting an even number on the roll of a six-sided die? 1/6 1/3 1/2
Answer: 1/2
Step-by-step explanation:
The sample space when a six sided die is thrown once is :
{ 1,2,3,3,5,6}
The even numbers are :
{2,4,6}
Therefore :
P(even) = n(even) / total number
That is
P(even) = 3/6
P(even) = 1/2
The shortest leg of a right triangle is 27 units. The other leg is 36 units. What is the length of the hypotenuse?
Answer:
Length of Hypotenuse: 45
Step-by-step explanation:
To solve this we need to use the pythagorean theorem.
a^2 + b^2 = c^2
In this case: a = 27
b = 36
27^2 + 36^2 = c^2
729 + 1296 = 2025
then we need to find the square root of 2025
45^2 = 2025
What is the perimeter of rhombus ABCD?
10 units
20 units
units
units
Answer:
20
Step-by-step explanation:
Dividing Polynomials with Tables Isiah is dividing 2x3 - x2 + 2x + 5 by x + 1 using a division table. His work is shown here. What is the value of A?
Answer:
5
Step-by-step explanation:
We are asked to find the value of A. We know from the question that we need to have the sum of -3x and (A)x equal the third term of the original polynomial, which is 2x. written out in an equation, it looks like this.
[tex]-3x+(A)x=2x[/tex]
We can simplify the equation if we add 3x to both sides, which then leaves us with this.
[tex](A)x=5x[/tex]
We can further simplify the equation by dividing both sides by x. This leaves us with our last equation for this problem.
[tex]A=5[/tex]
Finally, we have our answer. We can also verify that this is a valid integer by multiplying our, now completed, quotient by the divisor and adding the remainder, which in this case, our remainder is 0, so we will not be including it in our operation.
[tex](x+1)(2x^{2}-3x+5)[/tex]
If our calculations were all correct, the product of these polynomials should equal our dividend, verifying our integer is valid; lo' and behold, it is.
[tex]2x^{3}-x^{2}+2x+5[/tex]
An automobile factory,1849 parts are made in 4 hours.what is the average rate at which parts are made per hour?
Answer:
462.25
Step-by-step explanation:
You divide 1849 by 4 to get 462.25
Answer:
462.25 parts are make per hour
Step-by-step explanation:
Step 1: Convert words into an expression
An automobile factory, 1849 parts are made in 4 hours. What is the average rate at which parts are made per hour?
1849/4 = x
Step 2: Solve
1849/4 = x
462.25 = x
Answer: 462.25 parts are make per hour
why is Building equity in a home is a good thing
Answer:
Home equity can be a long-term strategy for building wealth.
5x−9y≥8
7x−4y<10
Is (2,2) a solution of the system?
Answer:
(2,2) is not a solution of the system.
Step-by-step explanation:
Given : Equations [tex]5x-9y\geq 8[/tex] and [tex]7x-4y<10[/tex].
To find : Is (2,2) a solution of the system?
Solution :
To know that the given point is the solution or not we have to put the values in equation if inequality is true then the point is the solution.
Substitute (2,2) in [tex]5x-9y\geq 8[/tex] ,
[tex]5(2)-9(2)\geq 8[/tex]
[tex]10-18\geq 8[/tex]
[tex]-8\geq 8[/tex]
It is not true.
Substitute (2,2) in [tex]7x-4y<10[/tex] ,
[tex]7(2)-4(2)<10[/tex]
[tex]14-8<10[/tex]
[tex]6<10[/tex]
It is true.
So, (2,2) is not a solution of the system.
The supplement of an angle is six times as large as the complement of the angle. What is the measure of the angle to the nearest whole degree?
Solution:
Complementary angles add up to 90° and supplementary angles add up to 180°
Let "a" be the required angle
Supplement of an angle = 180 - a
Complement of angle = 90 - a
The supplement of an angle is six times as large as the complement of the angle.
Therefore,
180 - a = 6(90 - a)
Simplify the above
180 - a = 540 - 6a
6a - a = 540 - 180
Combine the like terms
5a = 360
Divide both sides by 5
a = 72
Thus the measure of the angle to the nearest whole degree is 72 degrees
Solve for K, the constant of variation, in a joint variation problem where y=520, x=5, z=6.5. Solution is?
Answer:
K = 676
Step-by-step explanation:
When y is directly proportional to x and inversely poportional to z
We have
y = kx/z
When y =520
x = 5
z = 6.5
K =?
We have
520 = k x 5/6.5
Cross multiply
520 x 6.5 = 5k
3380 = 5k
Divide both sides by 5
3380/5 = 5k/5
676 = k
k = 676
PLEEEEEEEEEEEEEEEEEEASE HEEEEEEEEEEEEEEELP!
Let a, b, and c be the length of 3 corresponding sides of the triangle. The following inequality must always be true since they form a triangle :
[tex]a+b>c[/tex]
(This inequality says that the sum of two sides must always be greater than the other side)
Let's use this inequality for x, 1.3, and 4.1
[tex]x+1.3>4.1[/tex]
(The reason why 1.3 is on the left side is because it is the smaller side)
Subtract both sides by 1.3
[tex]x>2.8[/tex]
x must always be greater than 2.8. Now, let's see what value x must be always less than.
[tex]1.3+4.1>x[/tex]
[tex]5.4>x[/tex]
x must be always less than 5.4. Let's combine both statements for x and we get:
[tex]2.8<x<5.4[/tex]
These are the only values of x that will make it possible for these sides to form a proper triangle.
Let me know if you need any clarifications, thanks!
~ Padoru
Can you help me please?
Answer:
B.
Step-by-step explanation:
The least amount of water in a pool is zero gallons.
It takes 16 minutes to reach zero gallons (the pool is empty).
The domain is from 0 to 16.
Answer: B.
find the area of the hexagen whose Vertices taken in order
are (5.0), (4,2), (1,3), (-2,2), (-3,-1) and (o,-47)
Answer:
Step-by-step explanation:
A(5,0),B(4,2), C(1,3),D(-2,2),E(-3,-1),F(0-4)
we divide the hexagon in triangles and trapeziums
area Δ BCD (with coordinates B(4,2),C(1,3),D(-2,2)) =1/2(2+4)×2=6
area Δ DEG (with coordinates D(-2,2),E(-3,-1),G(-2.-2))=1/2(2+2)×2=4
area ΔAOF(with coordinates A(5,0),O(0,0),F(0,-4))=1/2×5×4=10
area trapezium ABDH (with coordinates A(5,0),B(4,2),D(-2,2),H(-2,0))=1/2[(2+5)+(2+4)]×2=13
area trapezium OHGF (with coordinates O(0,0),H(-2,0),G(-2,-2),F(0,-4))=1/2[4+2]×2=6
Total area=6+4+10+13+6=39 sq units.
Which graph shows the solution set for Negative five-halves x minus 3 less-than-or-equal-to 2?
A number line going from negative 8 to positive 2. An open circle is at negative 2. Everything to the left of the circle is shaded.
A number line going from negative 8 to positive 2. An open circle is at negative 2. Everything to the right of the circle is shaded.
A number line going from negative 8 to positive 2. A closed circle is at negative 2. Everything to the left of the circle is shaded.
A number line going from negative 8 to positive 2. A closed circle is at negative 2. Everything to the right of the circle is shaded.
A number line going from negative 8 to positive 2. A closed circle is at negative 2. Everything to the right of the circle is shaded. Then the correct option is D.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
The inequality is given below.
–(5/2)x – 3 ≤ 2
(5/2)x ≥ –5
x ≥ –2
The value of x is greater than 2 and closed circle at (–2, 0).
Then the correct option is D.
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Solve for s.
8 – 4s = 8 +13
Answer:
[tex]-\frac{13}{4}[/tex]
Step-by-step explanation:
8 - 4s = 8 + 13
8 - 4s = 21
4s = 8 - 21
4s = - 13
s = -13/4
41 divided by 836 I don’t understand this every time i ask google it uses decimal points but I just need the answer to the question without using decimals
Answer:
[tex]\frac{41}{836}[/tex] Is just that.
Any other question?
brainliest please ;)
Answer:
41/836
Step-by-step explanation:
try using mathaway.com or tiger algebra solver
Factor each expression by factoring put the GCF.
(3n + 1)(4n + 1) + (n + 2)(4n + 1)
Sigi’s taxi company charges $0.60 per mile and adds an additional $4.50 to cover the cost of bridge tolls. The expression below represents this relationship.
0.60m + 4.50
How much will the taxi company charge for a 36-mile drive?
a) $5.10
b) $26.10
c) $27.00
d) $41.10
Final answer:
To calculate the charge for a 36-mile drive by Sigi's taxi company, multiply 0.60 by 36 to find the mileage cost, add the $4.50 bridge toll, which results in a total cost of $26.10. Hence, the correct answer is (b) $26.10.
Explanation:
The question asks how much Sigi’s taxi company will charge for a 36-mile drive considering their rate is $0.60 per mile and there is an additional charge of $4.50 for bridge tolls. To calculate the total cost, you can use the given expression 0.60m + 4.50, where 'm' represents the number of miles.
By substituting 36 for 'm', you get the following calculation: 0.60 × 36 + 4.50. The cost per mile for 36 miles amounts to $21.60 ($0.60 times 36). Add the additional $4.50 charge for bridge tolls to get a total charge of $26.10.
Step-by-Step Calculation:
Calculate the cost of the mileage: 0.60 × 36 = $21.60.Add the fixed bridge toll cost: $21.60 + $4.50 = $26.10.Therefore, the correct option is (b) $26.10.
Write an expression meaning 4 less than 5 times a number
Answer:
Expression: 5 x n - 4
Answer:
5n - 4
Step-by-step explanation:
Let the number be n. Then we get the expression 5n - 4.
What is 8/9 divided by 2/3?
Answer:
1 1/3
Step-by-step explanation:
I had to take the test as well Good luck!
The division is 1 1/3.
What is fraction?A fraction is a part of a whole. In arithmetic, the number is expressed as a quotient, in which the numerator is divided by the denominator. In a simple fraction, both are integers. A complex fraction has a fraction in the numerator or denominator.
Given:
8/9 divided by 2/3
Now, we have to perform the division
= 8/9 ÷ 2/3
= 8/9 * 3/2
= 24 / 18
= 12/9
=4/3
=1 1/3
Hence, the value of the division is 1 1/3.
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What 2 measures of spread used when comparing data displays?
Answer:
Range and interquartile range
Step-by-step explanation:
Range is the difference between the highest and lowest values.
Interquartile range is a measure of statistical dispersion, being equal to the difference between 75th and 25th percentiles, or between upper and lower quartiles, IQR = Q₃ − Q₁.
There are 7 spiders in the barn. Each spider has 8 legs. How many legs do the spiders have altoghther
Answer:
56
Step-by-step explanation:
Answer:
56 legs
Step-by-step explanation:
Because each spider has 8 legs and there are 7 spiders in all, you must find the product of 8x7. This is just a simple multiplication problem, so 8 multiplied by 7 is 56.