Given:
Types of ice cream = 3
Types of syrup = 3
Toppings for sundaes = 2
To find:
The number of difference ways to make a sundae with one ice cream flavor, one type of syrup, and one topping.
Solution:
We have,
Total number of ways to select 1 form 3 ice cream flavor = 3 ways
Total number of ways to select 1 form 3 syrup = 3 ways
Total number of ways to select 1 form 2 toppings = 2 ways
Now, the total number of ways is
[tex]\text{Total ways}=3\times 3\times 2[/tex]
[tex]\text{Total ways}=18[/tex]
Therefore, the total number of difference ways to make a sundae with one ice cream flavor, one type of syrup, and one topping is 18.
Source: Khan Academy ( Relating linear contexts to graph features)
Kayden is a stunt driver. One time, during a gig where she escaped from a building about to explode(!), she drove at a constant speed to get to the safe zone that was 160 meters away. After 3 seconds of driving, she was 85 meters away from the safe zone.
Let y represent the distance (in meters) from the safe zone after x seconds.
Which of the following could be a graph of the relationship?
The graph that could represent the relationship between distance and time is: Graph C.
How to Interpret the Graph of a Relationship?A graph is usually plotted to have the independent variable on the x-axis and the dependent variable on the y-axis. For example, tin the scenario given, distance is plotted on the y-axis, while time is plotted on the x-axis.
The slope of a graph declines if the initial value decreases or if the slope value is negative and reduces.
In this scenario given, the starting value/initial value is 160 meters. After 3 seconds of driving, the initial value/starting value decreases to 85 meters.
This implies that the slope of the graph is declining from left to right. Therefore, the graph that could represent the relationship between distance and time is: Graph C.
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Answer:
GRAPH C
Step-by-step explanation:
khan
Find the gradient of the line segment between the points (5,-2) and (3,-8).
Answer:
3
Step-by-step explanation:
The gradient of the line can be calculated using the [tex]\frac{rise}{run}[/tex] between two points.
[tex]\frac{rise}{run}[/tex] = [tex]\frac{-8-(-2)}{3-5}[/tex]
= [tex]\frac{-8+2}{3-5}[/tex]
= [tex]\frac{-6}{-2}[/tex]
= 3
Pls help pls
38 POINTSSSS !!!!
I’ll mark as smartest too plssss
Answer:
y=-2
Step-by-step explanation:
[tex]\frac{-1-y}{10-6}=\frac{1}{4} \\4(-1-y)=1(10-6)\\-4-4y=4\\y=-\frac{8}{4} =-2[/tex]
hope this helps
WHAT IS -5 x -5 x -5 x -5
Answer: 5x 5 x 5x 5 = 625
Step-by-step explanation:
Answer:
625
Step-by-step explanation:
Another way to write this would be [tex]5^{4}[/tex]
a negative * a negative becomes a positive.
The sum of two factors of 48 is nineteen. The larger factor,
X, is one more than five times the smaller factor, y, Which
system of equations can be used to find the numbers?
Answer:
Umm b. X = 19 + y I think because it has a add
Step-by-step explanation:
A contestant on a game show wins $100 for answering a question correctly in Round 1. In each subsequent round, the contestant’s winnings are doubled if she gives a correct answer. If the contestant gives an incorrect answer, she loses everything.
A. Write an explicit formula that gives the contestant’s winnings in round n, assuming she answers all questions correctly.
Select all that apply. Which of the following ratios are equivalent?
3 to 4
6/7
15/20
3/4
Answer:
3 to 4, 15/20, and 3/4
rectangle ABCD has certified A(6,4) , B(1,4) and C(1,5) what are the coordinates of point D
Answer: (6, 5)
Step-by-step explanation: If you were to graph this rectangle, you would see that D has the same x as A and the same y as C
PLEASE HELP SOLVE FOR Y
Hello!
[tex]\large\boxed{y = 5(\frac{1}{2})^{x} }[/tex]
Recall that the equation of an exponential graph is:
[tex]y = a(b)^{x}[/tex]
We can see from the graph there is a y-intercept at y = 5. Plugging in 0 for x results in:
[tex]5 = a(b)^{0}\\\\5 = a(1)\\\\a = 5[/tex]
Solve for b by plugging in another point on the graph:
[tex]10 = 5(b)^{-1}\\\\2 = b^{-1}\\\\b = 1/2[/tex]
Write the final equation:
[tex]y = 5(\frac{1}{2})^{x}[/tex]
Please hurry come on
Answer:
g(1)
Step-by-step explanation:
The y intersect is 2
y=x+2
Answer:
The rate of g(x) is 1
Step-by-step explanation:
Rate could also mean the slope.
Get two points from the graph:
(0,2) and (2,4)
m = (Y_2 - Y_1)/(X_2-X_1)
m = (4-2)/(2-0)
m = 2/2
m = 1
determine the rate of change for thw graph: $____ per mile
Answer:
$2 per mile
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (2, 5)
Point (4, 9)
Step 2: Find slope m
Substitute: [tex]m=\frac{9-5}{4-2}[/tex]Subtract: [tex]m=\frac{4}{2}[/tex]Divide: [tex]m=2[/tex]A group of friends will buy at most 8 snacks at a movie theater and spend no more than $42. They will pay $4 for each box of candy and $7 for each bag of popcorn. The system of inequalities graphed below represents this information. Which combination of boxes of candy and bags of popcorn could the group buy?
Answer:
3 boxes of candy will cost $12 and 4 bags of popcorn will cost $28, adding the two gives us $40. They are only allowed to spend 42 dollars
Step-by-step explanation:
suppose two dice are tossed (for each die, it is equally likely that 1,2,3,4,5 or 6 dots will show). what is the probability that the total of the two dice will add up to 7 or 11? group of answer choices 7/36 8/36 10/36 4/36
Correct answer is B. the probability that the total of the two dice will add up to 7 or 11 is 8/36
Suppose two dice are tossed
That means n(s)= 6×6 =36
Let E=Addition of number is 7 or 11
Probability of getting 7 is
N(E)= {(4,3),(3,4),(5,2),(2,5)(6,1)(1,6)}
Probability of get 11 is
{(6,5)(5,6)}
Total probability is 8
E=8
S=36
P(E)=n(E)/n(S)
=8/36
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Determine the intercepts of the line
Answer:
x-int: (-40, 0)
y-int: (0, 15)
General Formulas and Concepts:
Algebra I
The x-intercept is the x value when y = 0. Another way to reword that is when the graph crosses the x-axis. The y-intercept is the y value when x = 0. Another way to reword that is when the graph crosses the y-axis.Step-by-step explanation:
According to the line on the graph, it passes the x-axis at x = -40 and it passes the y-axis at y = 15.
Therefore, our x-int is (-40, 0) and our y-int is (0, 15)
Help!!! Will give brainliest!!
the sum of three angles of a triangle adds up to 180 degrees. In this problem, you are given two angles.
x+(2x+15)+the measure of angle Q should equal 180.
Since everything is addition, the parenthesis can be removed.
x+2x+15+Q=180. This can then be simplified to 2x+15+Q=180. Subtract 15 from both sides to get 2x+Q=165. Divide both sides by two to get the x by itself. x+Q=82.5.
Unfortunately I don't really know what to do from here, but I hope it helped at least a little.
Write equations for the vertical and horizontal lines passing through the point (−6, -2)
vertical line:
horizontal line:
Answer:
Vertical line: x = -6
Horizontal line y = -2
Step-by-step explanation:
A vertical line will have a constant x value for all values of y so it will be of the form x = k where k is a constant. Since it passes through (-6,-2), where the x value is -6, we get the equation x = -6
A horizontal line will have a constant y value for all values of x so it will be of the form y = k where k is a constant. Since it passes through (-6,-2), where the y value is -2, we get the equation y = -2
The attached graph shows the two lines and the point (-6, -2)
ye dat's all there is
Answer: It $7.80 per hour
Hi hi
Step-by-step explanation:
Write the equation of the line fully simplified slope-intercept form.
Y
12
11
10
0
8
7
6
5
4
3
2
1
X
-12-11-10 -9 -8 -7 -6 -5 -4 -3 -2 -1,
1 2 3 4 5 6 7 8 9 10 11 12
-2
-3
-4
-5
-6
-7
-8
-9
-10
-11
-12
Answer:
y = -x + 8
Step-by-step explanation:
The equation can be written as;
y = mx + b
where b is the y-intercept
From the diagram , b= 8
y = mx + 8
To get m, substitute (8,0 ) into the equation
0 = 8x + 8
x = -8/8
x = -1
So the full equation is;
y = -x + 8
Michael puts $800 into a savings account. The account earns 2% simple interest. How much interest will he earn in 6 months?
Answer:
he earned 8 dollars in interest
Step-by-step explanation:
800(1+(.02)(.5))
hopefully im correct
12 birds can eat 12 packets of food in 6 minutes. Assuming that all the birds eat at the same rate, how long will it take 9 birds to finish 36 such packets?
Answer:
8 minutes
Step-by-step explanation:
If it takes 12 birds to eat 12 packets of food in 6 minutes that means it takes .5 minutes for 1 bird to eat 1 packet of food. 6÷12=.5
If there is 9 birds to eat 36 packets you first have to multiply the amount of birds times the rate it takes one to eat one packet. 9×.5=4.5 and with this now you know how many packets of food the group of 9 birds can eat per minute. Finally you divide the amount of packets by the amount of packets of food the group of 9 birds can eat per minute. 36÷4.5=8 And that's how they take 8 minutes to eat the 36 packets of food.
Monique bought 3 1/2 pounds of hamburgers for 14$ what was the cost per pound.
Quiz
Active
Which pair of undefined terms is used to define a ray?
line and plane
plane and line segment
point and line segment
point and line
Answer:
Answer: D- point and line
Step-by-step explanation:
simplify fully: 2x-2/3x-3
Answer:
[tex] \sf \: \frac{4}{3} x - 3[/tex]
Step-by-step explanation:
Let's simplify step-by-step.
2x−2/3x−3
=2x+−2/3x+−3
Combine Like Terms:
=2x+−2/3x+−3
=(2x+−2/3x)+(−3)
=4/3x+−3
-1 1/3 + 3/4
Plz help me I am doing a test and I really need the answer!!!!
Answer:
-7/12
Step-by-step explanation:
how many solutions does the equation y=mx have
Answer:A solution to an equation is the value or values of the variable or variables that make the equation a true statement. Graphically, solutions are the intersections of the graphs of the left side and the right side, or if the equation is written so that one side is zero, we are looking for the x-intercepts (for real solutions.)
Periodic functions can have infinite solutions. For instance, cos(x)=1 has as solutions x=2n*pi, n in ZZ (or n an integer.) Periodic functions can...
Step-by-step explanation:
what is the estimate of 418 x 64
Answer:
26752
Step-by-step explanation:
There's no estimate. I believe
Reflect over the x-axis, and then dilate
by a scale factor of 2.
(0, -4) (-2,-4)
(-1,-7) (1, -7)
When reflected over the x-axis and then dilated by a scale factor of 2 the points become (0,8), (-4,8), (-2,14) and (2,14). We need to know about reflection about axes and dilation.
When a point is reflected about the x-axis the x-coordinate remains same but the sign of the y-coordinate changes.When a point is reflected about the y-axis the sign of the x-coordinate changes while the y-coordinate remains same.When a point is reflected about the origin the sign of both the x-coordinate and the y-coordinate changes. Dilating a figure means changing it's shape or size by a scaling factor, the points are multiplied by the corresponding scaling factor. In this question we have to reflect the points about x-axis and dilate by a scale factor of 2. When the points will be reflected about the x-axis the new points will be (0,4) , (-2,4) , (-1,7) and (1,7). Then we have to dilate by a factor of 2, the final points will be (0,8), (-4,8) ,(-2,14) and (2,14).
After reflecting over x-axis and then dilating by a scale factor of 2 the points (0,-4), (-2,-4), (-1,-7) and (1,-7) become (0,8), (-4,8), (-2,14) and (2,14).
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Work the value if each expression when a=2, b = -3, c=4 and d= -5.
a) a +2b b) bd -10 c ) 4b+ 2a d) ab+cd e) cd²+ab f) d/2 - a g) 20-a²
h) bc/a d
*Sorry its so long, I need to understand it for class.*
The solutions to each of the given algebraic expressions when a=2, b = -3, c=4 and d= -5a are as follows;
a) a + 2b = -4
b) bd - 10 = -25
c) 4b + 2a = -8
d) ab + cd = -26
e) cd² + ab = 94
f) d/2 - a = -9/2
g) bc/ad = 6/5
What is the solution to the algebraic expressions?We are given the values a = 2, b = -3, c = 4 and d = -5.
a) a + 2b
Plug in 2 for a and -3 for b to get;
2 + 2(-3) = -4
b) bd - 10
Plug in b = -3 and d = -5 to get;
(-3 * -5) - 10 = -25
c) 4b + 2a
Plug in a = 2, b = -3 to get;
4(-3) + 2(2) = -12 + 4 = -8
d) ab + cd
Plug in a = 2, b = -3, c = 4, d= -5 to get;
(2 * -3) + (4 * -5) = -26
e) cd² + ab
Plug in a = 2, b = -3, c = 4, d= -5 to get;
(4 * (-5)²) + (2 * -3) = 94
f) d/2 - a
Plug in a=2 and d= -5 to get;
(-5/2) - 2 = -9/2
g) bc/ad
Plug in a=2, b = -3, c=4 and d= -5 to get;
(-3 * 4)/(2 * -5) = 12/10 = 6/5
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How would i begin to do this? im in 8th grade
Answer:
First, make sure each equation is in slope-intercept form, where m is your slope and b is your y-intercept (y=mx+b). Next, starting from your y=intercept, graph the slope for each equation.
The goal of graphing the two lines is to find the point where both lines intersect (meet).
Message me with any additional questions! I'd love to help.
Please help! State which property of equality justifies the statement:
If VR+TY=EN+TY, then VR=EN.
The subtraction property of equality is the property of equality that validates the statement "If VR + TY = EN + TY, then VR = EN." This assertion is expressed in the form of "If VR + TY = EN + TY, then VR = EN."
How can one identify whether a feature of equality warrants the assertion being made?VR + TY = EN + TY
Therefore
VR=EN
The following equation results from using the equality property's subtraction property.
Thus, we have
VR + TY - TY = EN + TY - TY
Determine the difference in the aforementioned equation.
Thus, we have
VR = EN
Hence, If VR + TY = EN + TY, then VR = EN is supported by the equality's subtraction feature, which is stated as "If VR + TY = EN + TY, then VR = EN."
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