workout:
19+21=40
2000÷40=50
Vince=50×19=950
Wendy=50×21=1050
-u can check by adding 950+1050=2000 (which means the ratio is correct)
Answer:
(vince:wendy)= 950:1050
Answer:
V:W
19:21
19 + 21 = 40
19 over 40 × 200
Vince received $950
I need help if you don't mind. I have to graph the linear equation using intercepts.
We want to find the places where the line
2x - 3y = 12
intercepts y-axis and x- axis
y- interceptWhen the line intercepts y axis, we know that x=0, we replace it in the equation so we can find y value:
2x - 3y = 12
↓
2 · 0 - 3y = 12
↓
0 - 3y = 12
-3y = 12
y = 12 / -3
y = -4
x - interceptIn the same way, we find the interception with x- axis when y = 0. We find the value of x replacing y by 0 in the equation:
2x - 3y = 12
↓
2x - 3 · 0 = 12
↓
2x - 0 = 12
2x=12
x = 12 / 2
x = 6
GraphWe locate both points: y = -4 and x = 6:
Finally, we join the points with a straight line
Find the value of a. Enter a numeric answer only.
Solution
For this case we have the following, the sum of the angles needs to be 360 since we have a circumference:
10a-4 +6a-2 +8a+6=360
Regrouping we have:
10a +6a +8a -4 -2 +6= 360
24a= 360
a= 360/24= 15
stuck on this math question for years,! if anyone helps 12 points !!!
Answer:
3
Step-by-step explanation:
There are 4.5 diamonds, which represent 9 hours in total.
This corresponds to 9/3 = 3 circles.
Answer:
3 circles
Step-by-step explanation:
For the pig, it's 4.5 squares. Each square is two hours, and 4.5*2 is 9. Each circle is 3 hours, and 9 divided by 3 is 3. Therefore, the answer is 3 circles.
The length and with of rectangle are consecutive odd integers. the perimeter of the rectangle is 48 meters . find the length and width of the rectangle
The dimensions width and length are 11 cm and 13 cm, respectively .A closed path that covers, encircles, or outlines a one-dimensional length or a two-dimensional shape is called a perimeter. A circle's or an ellipse's circumference is referred to as its perimeter.
What is perimeter?A closed path that covers, encircles, or outlines a one-dimensional length or a two-dimensional shape is called a perimeter. A circle's or an ellipse's circumference is referred to as its perimeter. There are numerous uses in real life for perimeter calculations.
Perimeter: 48 cm
The dimensions width and length are consecutive odd integers:
Width: x
Length: x+2
Equation:
2 [(x+2) + x] = 48
Find the width x:
2 [2x + 2) = 48
4x + 4 = 48
4x = 48 - 4
4x/4 = 44/4
x = 11 Width
Find the lenght x+2:
x+2 ⇒ 11+2 = 13 Length
The dimensions:
Width: 11 cm
Length : 13 cm
11 and 13 are consecutive odd integers.
Check:
2 (length + width) = 48
2 (13 + 11) = 48
2 (24) = 48
48 = 48
To learn more about perimeter refer to:
https://brainly.com/question/19819849
#SPJ1
if the scale in the drawing is 1/4inch=3miles, what is the distance, in miles between Hawthorne an Doylestown?(help)
We will investigate how to use ratios to determine the actual distance between cities as per defined scale.
We are given a scale conversion ( ratio ) at which distances are scaled down:
[tex]\begin{gathered} \text{Scale : Actual} \\ \frac{3}{4}\text{ in : }3\text{ miles} \end{gathered}[/tex]We will use the given scale ratio to determine the actual distance between two citites. The scale distance between Hawthorne and Doyelstown can be read.
[tex]\text{Scale distance = 1.75 in}[/tex]Now utilize the scale conversion ratio to determine the actual distance:
[tex]\begin{gathered} \text{Scale : Actual } \\ \frac{3}{4}in\text{ : 3 miles} \\ \\ 1.75\text{ in: x} \\ ======= \\ \\ \frac{3}{4}\cdot x\text{ = 3}\cdot1.75 \\ \\ x\text{ = }\frac{3\cdot1.75\cdot4}{3} \\ \\ x\text{ = 7 miles} \end{gathered}[/tex]Therefore, the distance between Hawthorne and Doylestown is:
[tex]7\text{ miles}[/tex]
The measures of the angles of a triangle are shown in the figure below. Solve for x.
x°
27°
Answer:
153
Step-by-step explanation:
x+27=180
x=180-27
x=153
Selena made pancakes for an all-day breakfast fundraising event. She made 132 pancakes in 2 hours. Selena needs to make 264 more pancakes. If she continues at the same rate, how many hours will it take for Selena to make 264 more pancakes?
Selena needs 4 more hours to prepare 264 more pancakes.
What is unitary method?Unitary method is a process of finding the value of a single unit, and use this value to find the value of the required number of units.
Given is Selena made pancakes for an all-day breakfast fundraising event. She made 132 pancakes in 2 hours. Selena needs to make 264 more pancakes.
We have -
The rate at which Selena is making pancakes = 132 pancakes in 2 hours.
Number of pancakes left to be made = 264
Now, in 2 hrs she makes 132 pancakes
Then, in 1 hr she will make (132/2) or 66 pancakes.
Now, she makes 66 pancakes in 1 hour.
So, she will make 1 pancake in (1/66) hours
Therefore, she will make 264 pancakes in (264/66) or 4 hours.
Therefore, she will need 4 more hours to prepare 264 more pancakes.
To solve more questions on unitary method , visit the link below-
https://brainly.com/question/18188026
#SPJ1
Cristian bought a new electronic tablet on sale 1/4 off the original Price.
A.What is the amount of the discount if the original price was $755
B.What is the scales price of the Tablet
Answer:
A: $188.75
B: $566.25
Step-by-step explanation:
To find the amount of the discount you can either multiply the original price ($755) by 1/4 or you can divide by 4.
Either way will get you $188.75. This is a quarter of the original price and is what is subtracted from the original sale price ($755). To find the sale price after the discount you do:
755-188.75=$566.25.
To check this you can do 755 × 3/4.
Hope this helps.
Please Mark Brainliest!!!
Answer:
What he said
Step-by-step explanation:
What is the answer to this question
The angles are which alternate exterior angles include the following: A. ∠XWY and ∠STR.
What are parallel lines?Parallel lines can be defined as two (2) lines that are cut through by a transversal and they always have the same (equal) distance apart and never meet.
What is the alternate exterior angle theorem?The alternate exterior angle theorem states that when two (2) parallel lines are cut through by a transversal, the alternate exterior angles that are formed lie outside the two (2) parallel lines, are located on opposite sides of the transversal, and are congruent angles.
In conclusion, we can logically deduce that both ∠XWY and ∠STR are alternate exterior angles because they lie outside the two (2) parallel lines and are located on opposite sides of the transversal.
Read more on alternate exterior angle here: https://brainly.com/question/26111088
#SPJ1
Triangles and angles worksheet
The △ABE is congruent to △CDE (△ABE ≅ △CDE) under AAA, ASA, SSS, and SAS conditions.
What do we mean by the congruency of triangles?If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent. Slide, rotate, flip, and turn these triangles to create an identical appearance. They are in alignment with one another when moved.So, △ABE ≅ △CDE:
AB || CD (Given)∠ABE ≅ ∠CDE, ∠BAE ≅ ∠DCE (Diagonal bisects the angles)AB || CD (Given)E is the midpoint of AC and BD (Given)Point E (Definition of midpoint)∠AEB ≅ ∠CED (Inversilly opposite angles)△ABE ≅ △CDE (AAA condition, ASA condition, SSS condition, and SAS condition)Therefore, the △ABE is congruent to △CDE (△ABE ≅ △CDE) under AAA, ASA, SSS, and SAS conditions.
Know more about the congruency of triangles here:
https://brainly.com/question/2938476
#SPJ13
the admission fee at a local zoo is $ 1.50 for children and $ 5.00 for adults. on a certain day, 2000 people enter the zoo and $ 7 , 550.00 is collected. how many children and how many adults attended?
There are [tex]700[/tex] children and [tex]1300[/tex] adults.
What is system of linear equations?
A System of Linear Equations is when we have two or more linear equations working together.
Let [tex]x[/tex] be number of children and [tex]y[/tex] be number of adults.
Since [tex]2000[/tex] people enter the zoo then [tex]x+y=2000.[/tex]
The admission fee at a local zoo is $ [tex]1.50[/tex] for children and $ [tex]5.00[/tex] for adults and $[tex]7550.00[/tex] collected then [tex]1.5x+5y=7550[/tex].
Thus there are two linear equations to solve.
Substitute [tex]x=2000-y[/tex] in [tex]1.5x+5y=7550.[/tex]
[tex]1.5(2000-y)+5y=7550[/tex]
[tex]3000-1.5y+5y=7550[/tex]
[tex]3000+3.5y=7550[/tex]
[tex]3.5y=7550-3000[/tex]
[tex]3.5y=4550[/tex]
[tex]y=\frac{4550}{3.5}[/tex]
[tex]y=1300[/tex]
So [tex]x=2000-y=2000-1300=700.[/tex]
Therefore there are [tex]700[/tex] children and [tex]1300[/tex] adults.
To know more about system of linear equations from given link,
https://brainly.com/question/1365672
#SPJ4
The table gives a set of outcomes and their probabilities. Let A be the event "the outcome is a divisor of 6". Find P(A). Outcome Probability 1 0.044 2 0.065 3 0.194 4 0.304 5 0.103 6 0.003 7 0.102 8 0.004 9 0.095 10 0.086
P(A) = P(6) = 0.003
answer: 0.003
what expression can be used to add 1/2 plus 5/6?
Step-by-step explanation:
You can add the two fractions by turning 1/2 and 5/6 to have the same denominator. Turn 1/2 into a fraction with a denominator of 6. That simplifies to 1 1/3. Hope this helps yo
Twenty years ago a small town in texas had a population of 10,000. the population has increased 8% each year since then. what equation would be used to solve this population growth problem? a. p = 20 (10,000) superscript .08 b. p = 10,000 (8) superscript 20 c. p = 10,000 (20) superscript 1.08 d. p = 10,000 (1.08) superscript 20
The correct answer for the given problem is option (D) .
growth rate in the initial population of 1.08.. So, the equation for solving this population growth problem is 10,000(1.08) ²⁰
Before twenty years, the actual population was 10,000.
Population growth per year = 8% = ((100+8)10,000)/100=10,800.
So, there will be an addition of 800 people to the population every year.
After a period of twenty years, the total population was 10,000 + 19×(800) = 25,200.
Population for t years = (Initial Population)× (Growth or Decay Rate)×time
Using the above population increment formula,
Time( in years) ----->Population
0------>10000
1------->10000 (1.08)
2------->10000(1.08)(1.08)
3------->10000(1.08)(1.08)(1.08)
------------------
n ----->10000(1.08)
Here, we are required to have a population after 20 years, i.e., n= 20. The required equation, which is used for solving population growth problem, is 10000(1.08)²⁰
To learn more population growth , refer :
https://brainly.com/question/18269549
#SPJ4
Help please! Some friends go to an amusement park in one car. They must pay a 6.00 parking fee plus 29.99 per person for tickets. The algebraic equation is C=6.00+29.99. Use the equation to calculate the number of tickets purchased for the group if the total cost was 215.93. Show all work
Answer:
7 # there were 7 people in the group
Step-by-step explanation:
C = 6.00 + 29.99x # the equation given
215.93 = 6.00 + 29.99x # 215.93 is the total so substitute it for C. Now we solve for x
209.93 = 29.99x # We subtracted 6 from both sides
7 = x # We divided 29.99 from both sides
7 is our answer
s\\line t find the measure of each angle HELP ME NOWWW
The values of the angles for the two parallel lines will be ∠1 = 115°, ∠2=115°, ∠3=148°, and ∠4 = 148°.
What are lines and angles?Straight lines with little depth or width are present. You will learn about a number of lines, including transversal, intersecting, and perpendicular lines. A figure called an angle is one in which two rays originate from the same point.
Given that the lines s and t are parallel to each other. The values of the different angles will be:-
∠1 = 115° Exterior angle property
∠2 = 115° Vertically opposite angle
The value of angle ∠3 will be calculated by the supplementary angle property.
∠3 = 148°
The value of angle ∠4 is 148 by vertically opposite angle property.
∠4 = 148°
To know more about lines and angles follow
https://brainly.in/question/2710053
#SPJ1
Find the value of x in each case.
Not rlly sure how to make the equation, i tried it a couple times and got the answer wrong
Pls help and ill reward Brainly thing
Explain what is 20 divided by 5/3 show work
Answer:
12
Step-by-step explanation:
How do you write out the sum of 2 consecutive even intergers
Let's call x to an unknown even integer. The next (consecutive) even integer will be x + 2. For instance, if x = 6, then the next even integer will be 6 + 2 = 8.
In consequence, the sum of two consecutive even integers is:
x + (x + 2)
Tom’s car has 11 1/9 gallons of gas. If he uses 38 of the gas, how much gas does the car have left?
Answer: 6 [tex]\frac{17}{18}[/tex] gallons of gas left in the car
Step-by-step explanation:
Upon further clarification, this question reads "3/8 of the gas" and not "38 of the gas."
If Tom's car has 11 1/9 gallons of gas, and we want to know how much gas the car will have left if he uses 3/8 of that, we first need to find 3/8 of 11 1/9.
"Of" can usually be written as multiplication.
3/8 of 11 1/9 = 3/8 * 11 1/9 = 4 1/6
Next, we will use subtraction since he uses 4 1/6 gallons of gas.
11 1/9 - 4 1/6 = 6 17/18 gallons
24. OPEN-ENDED Complete the table so that when t is the
independent variable, the relation is a function, and when
t is the dependent variable, the relation is not a function.
The following table shows how the relation is a function when t is the independent variable and not a function when t is the dependent variable:
t 0 1 2 3 4 5
v 0 1 2 3 4 5
A vertical line drawn from the independent variable axis (x-axis) meets the function graph only once because a function is a relationship between an input and an output in which each input has just one output.
The independent variable is the input, while the dependent variable is the output.
Filling out the table in such a way that when t is the independent variable, the relationship is a function, and when t is the dependent variable, the relation is not a function, results in the following table:
t 0 1 2 3 4 5
v 0 1 2 3 4 5
Given that each value of the independent variable t has a corresponding value of the velocity v, the aforementioned is a function.
However, when t is the dependent variable, the independent variable value of 1 produces two outputs of 1 and 5, which results in the following table:
t 0 1 2 3 4 5
v 0 1 2 3 4 5
Learn more about functions here:
brainly.com/question/11624077
#SPJ1
Lauren needed to get her computer fixed. She took it to the repair store. The
technician at the store worked on the computer for 3.75 hours and charged her $119
for parts. The total was $400.25. Write and solve an equation which can be used to
determine a, the cost of the labor per hour.
Answer:
3.75x + $119 = $400.25
x = $75
Step-by-step explanation:
Lauren needed to get her computer fixed. She took it to the repair store. The technician at the store worked on the computer for 3.75 hours and charged her $119 for parts. The total was $400.25. Write and solve an equation which can be used to determine a, the cost of the labor per hour.
3.75x + parts = $400.25
so:
3.75x + $119 = $400.25
subtract $119 from both sides:
3.75x + $119 - $119 = $400.25 - $119
3.75x = $281.85
divide both sides by 3.75
3.75x/3.75 = $281.85/3.75
x = $75
so the tech charged $75 per hour.
What type of transformation is this? Be specific
The volume of this cube is 27 cubic centimeters. What is the value of p?P=___centimeters
The shortest side of a right triangle measures 5, and the longest side measures 13. Determine the measurement of the unknown side.
Using the Pythagorean Theorem formula, the measurement of the unknown side (base) is 12 units.
How can the measurement of the unknown side of a right triangle be determined?According to the Pythagorean Theorem formula, c² = √a²+b², where c = hypotenuse, a = perpendicular, and b = base.
The hypotenuse is the longest side of a right triangle.
The shortest side is the perpendicular (adjacent side) while the other side is the base (opposite side).
Since the hypotenuse is given as equal to the square root of perpendicular squared and the base squared, we can compute the base, unknown side, using the following Pythagorean Theorem formula.
c² = √a²+b²
The perpendicular (shortest side) of a right triangle = 5
The hypotenuse (longest side) = 13
c² = √a²+b²
169 = √5²+b²
169 = √25 + b²
The base (unknown side):
b² = 169 - 25
b² = 144
The square root of √144 = 12
b = 12
Thus, the unknown side of the right triangle is the base, measuring 12 units.
Learn more about right triangles at https://brainly.com/question/25016594
#SPJ1
The length of the unknown side is 12 units, which is the base of the right triangle.
The right triangle's perpendicular (shortest side) = 5 units
The right triangle's hypotenuse (longest side) = 13 units
According to the Pythagorean Theorem,
H² = P² + B², Where H = hypotenuse, P = perpendicular, and B = base.
As per the given question, here H = 13 and P = 5
Substitute the values of H = 13 and P = 5 in the Pythagorean Theorem,
(13)² = (5)²+ B²
169 = 25 + B²
B² = 169 - 25
B² = 144
B = √144
B = 12 units
Therefore, the length of the unknown side is 12 units,
Learn more about Pythagoras's theorem here:
brainly.com/question/343682
#SPJ1
twelve hungry teenagers can devour a very large pizza in $20$ minutes. how many teenagers would it take to finish a very large pizza in $15$ minutes? (assume that all teenagers eat pizza at the same rate.)
It would take 9 Teenagers to finish a very large pizza in $15$ minutes.
From the knowlegde of Propotional method/ subject formular in mathematics;
From the questions:
12 Teens finished a very large pizza in $20$ minutes.
The number of teens to finish a very large pizza in $ 15 minutes would calculate thus,
12 Teens=$20$ minutes.
x Teens=$15$ minutes.
then we cross multiply:
x Teens × $20$ minutes =$15$ minutes × 12 Teens
making x Teens subject of the formula we have;
x Teens=$15$ minutes × 12 Teens/$20$ minutes
x Teens=9 Teens
learn more subject formular on
https://brainly.com/question/16864088
#SPJ1
Which set of ordered pairs (x, y) could represent a linear function?
A = {(-3,5), (0, 2), (3,-1), (7,-4)}
B = {(0,3), (1,5), (2,7), (4,9)}
C= {(-3,8), (-1,7), (1,6), (3,5)}
D = {(-5, -1), (-2,2), (1,4), (4,7)}
OA
C
B
D
Submit Answer
The graph of a linear function is a straight line. The following is the form of a linear function. a + bx = y = f(x). One independent variable and one dependent variable make up a linear function. X and Y are the independent and dependent variables, respectively.
How is a linear function written?The equation y = mx + b, where y is the y-coordinate, denotes a linear function. m represents the line's slope, or how steep it is. The coordinate for x is x.
The equation y = mx + b, where y is the y-coordinate, denotes a linear function.
m represents the line's slope, or how steep it is.The coordinate for x is x.the point where the line intersects the y-axis, or b.To learn more about Linear function refer to:
https://brainly.com/question/15602982
#SPJ13
Kaitlin sold t-shirts at a festival and made a profit of $71 . She made $4 for each t-shirt she sold. Her total expenses were $25 . How many t-shirts did she sell?
The t-shirts she sell is 24.
What is profit and selling price?
Profit is considered as the gain amount from any business activity. Whenever a shopkeeper sells a product, his motive is to gain some benefit from the buyer in the name of profit.
The selling price is the price that the buyer pays to buy a product or goods. This is a price above cost and includes a profit ratio.
According to Question, Christine sold the t- shirts at $4 each and she earned a profit of $71 and his total expenses were $25
Let the total number of t- shirts sold by Christine be "x"
Profit = Selling price – Expenses
Selling price is given as:
selling price = total number to t-shirt sold ×price of each t shirt
selling price = n ×4
71 = (n×4) -24
71 + 25 = n×4
96/4 = n
n = 24
To know more about profit and selling price, visit:
https://brainly.com/question/13797142
#SPJ9
Marco charges $42.99 for a
repair that takes 2 hours.
Marco charges $87.99 for a
repair that takes 5 hours.
for the slope and y intercept
Answer:
y-intercept= 12.99 slope= 15.00x+12.99
Step-by-step explanation:
4x - 2y = 5 if the range is {-5,-3,0,7}
The domain of the given function given range is {1.25, -0.25, 1.25, 4.75}
Domain and range of a functionThe range of values that we are permitted to enter into our function is known as the domain of a function.
The x values for a function like f(x) make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of value.
Given the range of the function as {-5, -3, 0, 7}
Determine the domain from the function 4x - 2y = 5
4x - 2y = 5
4x - 2(-5) =5
4x + 10 = 5
4x = 5
x = 5/4 = 1.25
If y = -3
4x - 2y = 5
4x - 2(-3) =5
4x + 6 = 5
4x = -1
x = -1/4 = -0.25
If y = 0
4x - 2(0) =5
4x - 0 = 5
4x = 5
x = 5/4 = 1.25
If x = 7;
4x - 2y = 5
4x - 2(7) =5
4x - 14 = 5
4x = 19
x = 19/4 = 4.75
Therefore the equivalent domain of the function is {1.25, -0.25, 1.25, 4.75}
Learn more on domain and range here: https://brainly.com/question/2264373
#SPJ1