48=4x can be used to determine the miles covered by Trisha that is 12 miles.
Total distance covered comprises the sum of distances covered by individual entities. Sum means adding like terms in mathematics.
Given, the total number of miles covered by both of them, t= 48 miles
If miles covered by Trisha = x
Then, miles covered by Brandy = 3x (as Brandy drove three times as far as Trisha ).
The total distance covered comprises miles covered by Trisha as well as Brandy.
t=x+3x
On adding the like terms.
t=4x
Substituting t=48,
48=4x
Dividing 4 both sides of the equation,
48/4=4x/4
12=x
x=12 miles
So, the Number of miles Trisha drove is 12.
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PLEASE I NEED HELP!!!
A. The perimeter of quadrilaterals are same when x=2.
B. The area of quadrilaterals are same when x=4.6
Step-by-step explanation:
A. Perimeter of the quadrilaterals must be equal.
Perimeter of square is 4a.where, a = 6Perimeter of rectangle is 2(l+b).where, l = 2 and b = (3x+4)Perimeter of square = Perimeter of rectangle
4(6) = 2(2+3x+4)
⇒ 24 = 2(3x+6)
⇒ 24 = 6x + 12
⇒ 6x = 12
⇒ x = 12/6
x = 2
For x=2, the perimeters of both the quadrilaterals are same.
B. Area of the quadrilaterals must be equal.
Area of square is a².where, a = 6.Area of rectangle is l[tex]\times[/tex]b.where, l = 2 and b = (3x+4)Area of square = Area of rectangle
(6)² = 2(3x+4)
36 = 6x+8
6x = 28
x = 28/6
x = 4.6
For x=4.6, the area of both the quadrilaterals are same.
A cube has an edge length of 8 meters. What is its volume, in cubic meters?
Answer:
[tex]512\ m^{3}[/tex]
Step-by-step explanation:
Volume of any cube equals a product of all the edge lengths. Since there are 3 edges:
[tex]V = a^{3} = 8^{3} = 512\ m^{3}[/tex]
The required area of the cube with an edge length of 8 meters is 512 cubic meters.
What is volume?Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.
here,
A cube has an edge length of 8 meters.
The volume of the cube = a³
The volume of the cube = 8³ = 512 cubic meters
Thus, the required area of the cube with an edge length of 8 meters is 512 cubic meters.
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Solve 3x - 9x + 7 - 3 = -8.
6
-6
2
-2
Answer:
x=2
Step-by-step explanation:
add like terms (3x-9x= -6x, 7-3= 4)then move the constant to the right (-8+4=-12)finally divide it by 6 which gives you "x"Answer:
x=2
Step-by-step explanation:
3x - 9x + 7 - 3 = -8
Combine like terms
-6x +4 = -8
Subtract 4 from each side
-6x +4-4 = -8-4
-6x = -12
Divide each side by -6
-6x/-6 = -12/-6
x = 2
The table below shows an inequality and a number by which to divide both sides. Inequality Divide each side by Negative 125 greater-than-or-equal-to negative 135 Negative 5 What is the resulting true inequality? Negative 25 less-than-or-equal-to negative 27 Negative 25 greater-than-or-equal-to negative 27 25 greater-than-or-equal-to 27 25 less-than-or-equal-to 27
Answer:
[tex]25\leq 27[/tex]
Explanation:
1. Starting inequality:
[tex]-125\geq -135[/tex]
2. Divide both sides by [tex]-5[/tex]
3. Rule
When you divide an inequality by a negative number, the inequality symbol has to be changed:
> changes to << changes to >≤ changes to ≥≥ changes to ≤4. Solution
Thus, when dividing by -5 change the inequality symbol ≤ to ≤
[tex]\dfrac{-125}{-5}\leq \dfrac{-135}{-5}\\\\\\25\leq 27[/tex]
5) through (-2, -3) and (0,1)
Slope-Intercept:
Standard Form:
Answer:
Slope = 2
y-intercept = 1
x-intercept = -0.5
Standard Form ⇒ y - 2x = 1
Step-by-step explanation:
write the equation of the line through (-2 , -3) and (0,1)
The general form of the line is y = mx + c
Where m is the slope and c is the y-intercept
The slope m = (y₂ - y₁)/(x₂ - x₁) = (1 - [-3])/(0 - [-2]) = 4/2 = 2
∴ y = 2x + c
By substitution with the point (0,1) to find c
1 = 2 *0 + c
c = 1
∴ y = 2x + 1
Or y - 2x = 1 ⇒Standard Form
Also,
See the attached figure which represents the graph of the line y - 2x = 1
For this case we have that by definition, the equation of the line of the slope-intersection form is given by:
[tex]y = mx + b[/tex]
Where:
m: It is the slope of the line
b: It is the cut point with the y axis
We have the following points:
[tex](x_ {1}, y_ {1}): (0,1)\\(x_ {2}, y_ {2}): (-2, -3)[/tex]
We find the slope:[tex]m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {-3-1} {- 2-0} = \frac {-4} {- 2} = 2[/tex]
Thus, the equation is of the form:
[tex]y = 2x + b[/tex]
We substitute a point and find b:
[tex]1 = 2 (0) + b\\b = 1[/tex]
Finally, we have:
[tex]y = 2x + 1[/tex]
On the other hand, the equation in the standard form is given by:
[tex]ax + by = c[/tex]
So, according to the slope-intersection equation we have:
[tex]2x-y = -1[/tex]
Answer:
[tex]y=2x+1\\2x-y=-1[/tex]
Help me with this pls!!! You need to fill in the blanks with the words given above 99 Points!
A simulation is a mathematical model used to represent a situation.
A simulation can be a program or a physical test to "simulate" a situation to predict the outcomes.When we combine two or more simple events we have a compound event
"Compound" means to combine, like a compound word would be a combination of two wordsA Tree Diagram is a diagram that shows all the possible outcomes of an event
In a tree diagram, each possible outcome "branches" off the main stem, making the final diagram look like a tree with many separating branches.All the possible outcomes or results is called the sample space
The outcomes are each different samples, and a sample space is a space that collects each of these samplesWhen an event is not affected by a previous outcome we have an independent event
This event is "independent", not affected by other factors, making it an independent eventLet me know if you need any clarifications, thanks!
~ Padoru
Justin and TJ are servers at a local restaurant. The table below shows the tips they earned.
Which student has a higher median tip for the week and by how much?
Answer:
1. For the median (as per the question posted): the median of Justin's earnings is more than the median of TJ's earnings
Difference = $3
2. For the mean (as per the requirement in the image): the mean of TJ's earnings is more than the mean of Justin's earnings
Difference = $4
Explanation:
The complete question is shown in the attached image
1. The median:
It is defined as the value found in the middle of a set of arranged data/numbersIf the set has odd number of data, then the median is simply the middle valueIf the set has even number of data, then the median is the average of the two middle valuesTo get the median, we need to first arrange the given dataa. For Justin:
He earned the following: $32, $45, $50, $33 and $50
Arranging the data: $32, $33, $45, $50 and $50
The middle value is: $45
The median is: $45
b. For TJ:
He earned the following: $58, $48, $40, $42 and $42
Arranging the data: $40, $42, $42, $48 and $58
The middle value is: $42
The median is: $42
c. Comparing the medians:
From the above, we can conclude that the median of Justin's earnings is more than the median of TJ's earnings
Difference = $45 - $42 = $3
2. The mean:
It is defined as the average value of a set of dataIt is calculated by summing the values in the set and then dividing this sum by the number of vales in the seta. For Justin:
He earned the following: $32, $45, $50, $33 and $50
Summing the data: $32 + $33 + $45 + $50 + $50 = 210
Number of values in the data= 5
The mean is: [tex]\frac{210}{5}=42[/tex]
b. For TJ:
He earned the following: $58, $48, $40, $42 and $42
Summing the data: $40 + $42 + $42 + $48 + $58 = $230
Number of values in the data: 5
The mean is: [tex]\frac{230}{5} = 46[/tex]
c. Comparing the values:
From the above, we can conclude that the mean of TJ's earnings is more than the mean of Justin's earnings
Difference = 46 - 42 = $4
Hope this helps :)
Multiply.
38⋅45
Express your answer in simplest form.
A. 3/10
B. 7/40
C. 7/13
D. 12/13
which of these rational numbers are also an integer?
a.2/4
b.0.24
c.4/2
d.2.4
Answer:
D.2.4
Step-by-step explanation:
Because it's a fraction and can be written in fraction as 240/100
Answer:
answer is C
Step-by-step explanation:
4/2 : rational
4/2 = 2 : integer
and When you simplify 4/2 you get 2, 2 is an integer.
there are 6 girls in a music class. this represents 3/7 of the entire class. solve 3/7s=6 to find the number of students,s, in the class.
The number of students in the class is [tex]s=14[/tex]
Explanation:
It is given that there are 6 girls in a music class.
This represents [tex]\frac{3}{7}[/tex] of the entire class.
To determine the number of students in the class, we need to solve the equation [tex]\frac{3}{7}s=6[/tex]
Let us solve the expression for s.
Multiplying both sides of the equation by [tex]\frac{7}{3}[/tex], we have,
[tex](\frac{7}{3} )\frac{3}{7}s=6(\frac{7}{3} )[/tex]
Simplifying the expression, we have,
[tex]s=\frac{42}{3}[/tex]
Dividing by 3, we have,
[tex]s=14[/tex]
Thus, the number of students in the class are 14.
Addyson's goal is to spend less than $415 on a trip. So far, she has spent $25 on gas for her car. She will spend $100 each day on other expenses. Addyson's trip must last fewer than how many days?
Answer:
4 days
Step-by-step explanation:
$25 on gas
$415-$25=$390 she still can spend $390
390/100=3.9 days
that means she can go for 3.9 days
so she must go for less than 4 days
What is the mean of: 9.6, 2, 4.1, 8, 5.9, 2, 3.7, 6, 7.6?
Answer: 5.43
Step-by-step explanation:
To find the Mean, sum the values and divide by the number of values
=9.6 + 2 + 4.1 + 8 + 5.9 +2 + 3.7 + 6 + 7.6/9
= 48.9/9
=5.43
I hope this helps.
What is the mean of: 9.6, 2, 4.1, 8, 5.9, 2, 3.7, 6, 7.6?
Answer:
5.43333 recurring
Step-by-step explanation:
Mean is the average of a set of numbers. That is, the sum of the digits in the set, divided by the number of the digits.
In the question above, we have 9 digits. So we find the sum of the digits divided by 9.
(9.6+2+4.1+8+5.9+2+3.7+6+7.6)/9
48.9/9
5.4333recurring
A group of 5 friends are going to a concert and equally share the cost. If the total for the tickets is N, and each person paid less than 12 dollars, write an inequality to show the possible solutions for n, the total amount of the bill?
Answer:
They each used 60 dollars in total
Step-by-step explanation:
They each brought 12 dollars and if you multiply it by 5 that's how much they spent in total
What number does x stand for 18*x=54
A. 3
B.1
C. 91
D. 85
Answer:
3
Step-by-step explanation:
18*x=54 (divide both sides by 18)
x = 54 ÷ 18
x = 3
Hello!
The answer to your problem is A) 3
Move all terms to the left
[tex]18x-(54)=0[/tex]
Move all terms containing x to the left, all other terms to the right
[tex]18x=54[/tex]
[tex]x=54/18[/tex]
Get your answer
[tex]x=3[/tex]
Hope This Helps!
Suppose you filled the ice-cream cone shown with your favorite ice-cream. Which measurement BEST describes the
amount of ice-cream in the cone? (round to the nearest tenth)
Amount of ice-cream in the cone = 6.3 in³
Solution:
Given data:
Diameter of the cone = 2 in
Radius of the cone = 2 ÷ 2 = 1 in
Height of the cone = 6 in
The value of π = 3.14
Volume of the cone = [tex]\frac{1}{3} \pi r^2 h[/tex]
[tex]$=\frac{1}{3}\times 3.14\times 1^2\times 6[/tex]
= 6.3
Volume of the cone = 6.3 in³
Amount of ice-cream in the cone = 6.3 in³
Answer:
6.3 in ^3
Step-by-step explanation:
Trust me ;)
Grace earns $7 for each car she washes. She always saves $22 of her weekly earnings. This week, she wants to have at least $63 in spending money. How many cars must she wash? Enter and solve an inequality to represent this situation. Enter your value as a simplified mixed number, if necessary.
Answer:
12 1/7 cars
Step-by-step explanation:
Let the number of cars she'd wash to earn $63 in spending money be A.
Given she saves $22 of her weekly earnings and wants to have at least $63 for spending money.
That means she’d have to make $63 + $22 = $85
The expression is thus
$85 = A x $7
Where A is the number of cars and $7 is the amount she earns for washing one car and $85 is the total amount she has to make .
Therefore,
85 = A x 7
Divide both sides by 7
85/7 = A x 7/7
12 1/7 = A
A = 12 1/7 cars
She must wash 12 1/7 cars to have at least $63 spending money and also have her weekly Savings of $22
How many solutions does the system of equations have?
The system has infinitely many solutions.
The system has no solution.
The system has exactly one solution.
Answer:
This system has infinitely many solutions because they right on top of each other.
If the lines were perpendicular, then there would be exactly one solution.
If the lines were parallel, there would be no solutions.
Patrick spins both spinners below. What is the probability the hw spins green on both spinners?
Answer:
4/12 or 2/6 or 1/3
Step-by-step explanation:
9. Seven more than the quotient of a number b
and 45 is greater than 5.
2x−5 = 3 (1−x)+22?
is x=6?
Answer:
x=6
Step-by-step explanation:
You are correct. x does equal 6
Answer:
Yes
x = 6
Step-by-step explanation:
Given
2x - 5 = 3(1 - x) + 22
First distribute 3 into (1 - x)
We have
2x - 5 = 3 x 1 -3 x X + 22
2x - 5 = 3 - 3x + 22
The expression can be rearranged as
2x - 5 = 3 + 22 - 3x
2x - 5 = 25 - 3x
Add 3x to both sides
3x + 2x - 5 = 25 - 3x + 3x
5x - 5 = 25
Add five to both sides
5x - 5 + 5 = 25 + 5
5x = 30
Divide both sides by 5
5x/5 = 30/5
x = 6
90 in terms of pi please help
Answer:
90 degrees pi/2 radians
I think so but i dont know
Step-by-step explanation:
Erwin had 2 5/12 gallons of lemonade. He spilled 11/12 gallon of lemonade. How much lemonade dose he have left? Write in simplest form
Answer:
Erwin have 1 [tex]\frac{1}{2}[/tex] gallons of lemonade left
Step-by-step explanation:
Erwin had 2 5/12 gallons of lemonade. He spilled 11/12 gallon of lemonade. How much lemonade dose he have left? Write in simplest form
All we need to do is to subtract 11/12 from 2 5/12. But to do this, we will convert 2 5/12 to improper fraction
converting 2 5/12 to improper fraction yields : 29/12
Lemonade have left = Total lemonade - lemonade spilled
= 29/12 - 11/12
= 18/12
Lemonade have left =18/12
But we can reduce 18/12 to its lowest term
18÷6/ 12÷6 = 3/2
Lemonade have left = 3/2
We can change to 3/2 to a mixed number to give us 1 [tex]\frac{1}{2}[/tex]
Therefore Erwin have 1 [tex]\frac{1}{2}[/tex] gallons of lemonade left
Answer:
(3/2) or (1 1/2) gallons of lemonade
Step-by-step explanation:
Erwin had 2 5/12 gallons of lemonade at his disposal which also translate to 29/12 gallons.
If he spills 11/12 gallon of the lemonade,then the quantity left with him will be (29/12) - (11/12) = 18/12(change to proper fraction): 3/2 or 1 1/2 gallons of lemonade
what is the difference between the points (-3,4) and (5,4)
Answer:
That 1st one will be in the negatine seconw one will de positive
On a sunny day around noon , a tree casts a shadow that is 12 feet long . At the same time , a person who is 6 feet tall standing beside the tree casts a shadow that is 2 feet long . How tall is the tree?
Answer:
36 ft. tall
Step-by-step explanation:
We can easily solve this problem with a simple proportion:
12 feet / height = 2 feet / 6 feet
6 * 12 = 2h
72 = 2h
h = 36 ft.
It's found that the tree is 36 feet tall.
To find the height of the tree using the lengths of the shadows and the person's height, we can use a proportion based on similar triangles. Since the sun's rays hit both the tree and the person at the same angle, the ratio of the height of the tree to the length of its shadow is the same as the ratio of the person's height to the length of their shadow.
Let's let 'h' represent the height of the tree. We can set up the proportion as follows:
Person's height / Person's shadow length = Tree's height / Tree's shadow length
6 feet / 2 feet = h / 12 feet
Now we solve for 'h' by cross-multiplying:
6 feet * 12 feet = 2 feet * h
72 feet2 = 2 feet * h
Divide both sides by 2 feet to get:
h = 36 feet
Therefore, the tree is 36 feet tall.
If point E is translated 2 units right and 4 units up, what are the coordinates of E'?
Answer:
6
Step-by-step explanation:
Answer:
Answer is (2,6) B.
Step-by-step explanation:
Whats is the product of 35×3/5=
Answer:
35.6
Step-by-step explanation:
35 * 3/5
35 * 5/5 + 3/5
175/5 + 3/5
178/5
35.6
Answer: 35.6
A pound of chocolate cost 8 dollars. Ivanna buys p pounds. Write an equation to represent the total cost c that Ivanna pays.
What is 9 to the power of zero simplified
Which equation, in point-slope form, passes through (-2, 4) and has a slope of 3?
a. y - 4= 3(x - 2)
b. y - 4= 3(x + 2)
c. y + 4 = 3(x - 2)
d. y + 4 = 3(x + 2)
Answer:
B
Step-by-step explanation:
The formula is Y-Y1= M(X-X1)
So y-4=3(x+2)