Answer:
227.5
Step-by-step explanation:
D=ST so X= 65 x 3.5 = 227.5 miles
D=Distance = x
S=Speed = 65
T=Time = 3.5
At the grocery store, you can purchase lemons at 2 for $0.99. you can also buy a bag of 6 lemons for $2.50. Which is the better buy?
Answer:
Purchasing the bag of 6 lemons is the better buy.
Step-by-step explanation:
There are two ways that we can do this: find the unit rate or find how the LCM.
---
The first way is more orthodox, and you should definitely use it in harder problems. We can set up two ratios like so.
2 : 0.99
6 : 2.5
Let's simplify the ratios so the left side is one.
2 : 0.99 = 1 : 0.495 by dividing both sides by 2.
6 : 2.5 = 1 : 0.41666... by dividing both sides by 6.
Comparing the two ratios, we can conclude that the second one is smaller, therefore the bag of 6 lemons costs less.
---
The second way, although not very efficient with big numbers, works well with small numbers like these.
First, we need to find the LCM, or the least common multiple. The LCM of 2 and 6 is 6, as 6 is a multiple of both 2 and itself.
Now we must make the amount of lemons match each other so we can compare the price.
2 : 0.99 = 6 : 2.97 by multiplying by 3.
The second ratio stays the same.
2.50 is smaller than 2.97, so the second ratio is smaller than the first, reaching our previous conclusion.
---
I hope this helps, let me know if you need any more clarification.
Is this figure an example of a line
Answer:
No , It has two endpoints.
Explanation: A line segment has two end points with a definite length.
A straight line has neither starting nor end point and is of infinite length.
3. Order the following numbers on a number line (least to greatest).
A.1.8, 1.35, 2.5, V5
B.1.35,75, 1.8, 2.5
C.1.35, 1.8, V5, 2.5
D.1.35, 1.8, 2:5, V5
square root of 5 equals 2.236068. So,, Choice C is the correct option witht he numbers from least to greatest. Hope this helps.
FIRST GETS BRAINLLEST If each 2 cm on the scale drawing below equals 5 feet, what is the actual length of the red line? 11 feet 12.5 feet 14 feet 16 feet
Answer:
12.5 feet
Step-by-step explanation:
So we would not have to worry about any line other than red so we would divide 5 cm by 2 cm which is 2.5 cm and if you multiply that by 5 you would get 12.5 feet
pls help me i give brainliest
Answer: I Thing the answer may be 7units. Please correct me if i'm wrong
Step-by-step explanation:
In which quadrant does the point (-23 , -10) lie? A. Quadrant II B. Quadrant IV C. Quadrant III D. Quadrant I
Answer:
C.Quadrant III
EXPLANATION:
IN THIRD QUADRANT THAT'S WHERE -NEGATIVE COORDINATES LIE
Estimate the solution to the system of equations. You can use the interactive graph below to find the solution.
y=−x+2
y=3x−4
x=
y=
thank you!
Answer: x= 3/2 and y= 1/2
Step-by-step explanation:
Since both equations are equated to y, you just need to use substitution to create the equation below:
-x+2 = 3x-4
Solve the equation for x:
4x=6
x=6/4=3/2
Plug in x into any one of the given equations to find the value of y:
y=-x+2
y= - (3/2)+2
y= - (3/2)+4/2
y= 1/2
Hope this helps!
The solution to the system of equations will be x= 3/2 and y= 1/2.
What is a system of equations?A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations or an equation system.
An equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
The given equations are y=−x+2 and y=3x−4 to calculate the values of x and y using the substitution method.
Since both equations are equated to y, you just need to use substitution to create the equation below:
-x+2 = 3x-4
Solve the equation for x:
4x =6
x =6/4=3/2
Plug x into any one of the given equations to find the value of y:
y =-x+2
Solve for the value of y.
y = - (3/2)+2
y = - (3/2)+4/2
y = 1/2
Hence, the solution for the equation will be x= 3/2 and y= 1/2.
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A 2-digit number is increased by 36 when the digits are reversed. The sum of the digits is 10. What is the original number?
What is the slope of each line? Line A: y = one-half x minus 4 Line B: y = 2 x minus 3
Answer:
1/2
2/1
use the method rise over run
Step-by-step explanation:
find the sum of even numbers between 1001 and 10,000 (Arithmetic progressions) DO STEP BY STEP PLEASE
Step-by-step explanation:
arithmetic progression
even numbers between 1001 and 10000
1002,1004,.......9998
Tn=a+(n-1)d
Tn = 9998 last term in the progression of even numbers
a = 1002 first term
d = 2 distance
9998=1002+(n-1)(2)
8996=2n-2
8998=2n
n = 4499 the number of terms
sum = n/2 (a+Tn) = 4499/2(1002+9998)
= (4499/2)(11000) = 24744500
Logic:
notice what happens when you add the first and last terms
1002+9998=11000
1004+9996=11000
.......
help!! i have no idea how to solve this and its one of my last questions
Answer:
5
Step-by-step explanation:
If we are solving for c then we do 3^2 which = 9 plus 4^2 which is 16. This totals up to 25 and take the square root of 25 to get 5
help meeeeeeee plzzzzzzzzzzz
Answer:
Second one is the corect probability for the problem
What is the value of x?
sin 55° = COS X
Answer:
x=35°
Step-by-step explanation:
Answer:
x = 35°Step-by-step explanation:
[tex] \sin(55) = \cos(x) \\ \\ x = { \cos( }^{ - 1} \sin(55) ) \\ \\ x = 35[/tex]
Hope this helps you
HELP FIRST GET BRAINLLEST Which of the statements below are true? Select all that apply. A) Tom's friends are taller than Sam's friends B) Sam's tallest friend is 72 inches tall C) Sam's friends are taller than Tom's friends. D) Tom's tallest friend is over 70 inches tall
Answer:
B and C are true
Step-by-step explanation:
hope this helps :)
Answer:
I agree, B & C
Step-by-step explanation:
Rewrite the expression below using the Associative Property of Multiplication: (ab)c
Answer:
hope this helps
Step-by-step explanation:
(ab)c = (ac)b = (bc)a
Answer:
Here are a couple of examples (a+b)c or (c+b)a or (a+c)b
Step-by-step explanation:
To “associate” means to connect or join with something. According to the associative property of multiplication, the product of three or more numbers remains the same regardless of how the numbers are grouped. Here's an example of how the product does not change irrespective of how the factors are grouped.
(20 POINTS!!!) Bob can paint a room in 3 hours, and Suzie can paint one in 2 hours. How long will it take them together to paint a room?
Answer:
1 hour 12 minutes or 1.2 hours
Step-by-step explanation:
You add fractions to get this.
1 room/3 hours + 1 room / 2 hours = 1 room / x
0.33333333+0.5 = 1 room / x
0.83333333 = 1 / x Multiply both sides by x
0.83333333x = 1 Divide by 0.8333333
x = 1/0.833333
x = 1.2 hours or
x = 1 hour and 12 minutes
A baker starts with 100 pounds of flour. He uses the following quantities in one day: 3 3/8 lb, 18.25 lb, 8.6125 lb, 7 3/4 lb, and three recipes each requiring 5 7/16 lb. How much flour is left at the end of the day?
Answer:
45.7 lb
Step-by-step explanation:
3 3 /8 = 3.375 lb
18.25 lb
8.6125 lb
7 3/4 = 7.75 lb
5 7/16 = 5.4375 lb
Flour required of 3 recipes = 3 * 5.4375 = 16.3125 lb
3.3750 +
18.2500 +
8.6125 +
7.7500 +
16.3125
Quantity of flour used in a day = 54.3000 lb
Quantity of left at the end of the day = 100 - 54.3
= 45.7 lb
Simplify the following algebraic expression 3/4 (1/2x-12)+4/5
Answer:
y = 3/8x - 9 + 4/5
Step-by-step explanation:
assuming y = 3/4 (1/2x-12)+4/5
multiply 3/4 and (1/2x - 12)
y = 3/8x - 9 + 4/5
Answer:
Step-by-step explanation:
The LCD here is 120. Multiplying both terms by 120 and then dividing the result by 120 yields
90(1/2x - 12) + 96 45x - 1080 + 96 45x - 984
-------------------------- = ------------------------------- = ----------------------
120 120 120
Miguel wants to use coordinate geometry to prove that the
opposite sides of a rectangle are congruent. He places
parallelogram ABCD in the coordinate plane so that Ais (0,0),
Bis (a, 0), Cis (a, b), and Dis (0, b).
What formula can he use to determine the distance from
point A to point B?
A. (2-0)2 + (6-b)2 -
B. Via-0)2 + (0-0) - V-a
C. (2-0)2 + (0-0)2 =
D. V-0)? +(5-6)2 - 12 -
= a
Answer:
[tex]Distance = \sqrt{(0 - a)^2 + (0 - 0)^2}[/tex]
[tex]Distance = a[/tex]
Step-by-step explanation:
Given
[tex]A = (0,0)[/tex]
[tex]B = (a,0)[/tex]
[tex]C = (a,b)[/tex]
[tex]D = (0,b)[/tex]
Required
Determine the distance between A and B
The distance between points is calculated as thus;
[tex]Distance = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]
Considering points A and B
[tex]A(x_1,y_1) = (0,0)[/tex]
[tex]B(x_2,y_2) = (a,0)[/tex]
Substitute values for [tex]x_1, x_2, y_1[/tex] and [tex]y_2[/tex] in the above formula
[tex]Distance = \sqrt{(0 - a)^2 + (0 - 0)^2}[/tex]
The above expression represents the distance between A and B;
However, it can be solved further as thus
[tex]Distance = \sqrt{( -a)^2 + (0)^2}[/tex]
[tex]Distance = \sqrt{a^2 + 0}[/tex]
[tex]Distance = \sqrt{a^2}[/tex]
[tex]Distance = a[/tex]
Hence, the distance between A and B is a
PLZ HELP ME!!!!!!!!!!!!!!!!
Answer:
6
Step-by-step explanation:
To find the GCF do the prime factorization of each term
24: 2x2x2x3
18t: 2x3x3xt
Now find the numbers that they both have in common
That would be 2 & 3
When you multiply them together you should get 6
This is the same as 6(3t + 4) because we can add two terms in any order
To get either answer, we first note that 6 is the greatest common factor (GCF) of 18 and 24. So we factor each term so that a 6 is involved. Then we use the distributive property in reverse like so
24 + 18t = 6*4 + 6*3t = 6(4 + 3t)
The distributive property is a(b+c) = a*b + a*c. We multiply the outer term 'a' by each term inside the parenthesis. Then we add the results.
help I need the answer
Answer:
18.9 ft²
Step-by-step explanation:
Surface area of this cylinder = area of the bottom and top circles + area of the curved surface.
Area of the two circles = 2πr² , where r is the radius.
Area of the curved surface = 2πrh , where r is the radius and h is the height.
Radius = [tex]\frac{1}{2}[/tex] × diameter
Area of the two circles = 2 × π × ([tex]\frac{2}{2}[/tex])² = 6.3 ft² (answer rounded up to nearest tenth)
Area of the curved surface = π × diameter × h = π × 2ft × 2ft = 12.6 ft² (answer rounded up to nearest tenth)
The surface area of the cylinder = 6.3 ft² + 12.6 ft² = 18.9 ft²
Answer:
18.85 to be exact
Step-by-step explanation:
pls mark brainliest
True or False: When you interpret a Stem-and-Leaf plot, you make a list of numbers.
Answer:
False
Step-by-step explanation:
Kendra was given this system of equations. Negative 3 x + 7 y = negative 15. Negative 2 x minus 7 y = 5. Kendra’s work is shown in the table. Where, if anywhere, did Kendra first make a mistake? Steps Kendra’s Work Step 1 Negative 3 x + 7 y = negative 15. Negative 2 x minus 7 y = 5. Negative 5 x = negative 10. Step 2 Negative 5 x = negative 10. x = 2. Step 3 Negative 3 (2) + 7 y = negative 15. Negative 6 + 7 y = negative 15. 7 y = negative 9. y = Negative StartFraction 9 Over 7 EndFraction = negative 1 and StartFraction 2 Over 7 EndFraction step 1 step 2 step 3 no mistake
Answer:
i dont think Kendra made a mistake
Step-by-step explanation:
Given:
Kendra was given this system of equations.
-3x+7y=-15 and -2x-7y=5.
TO FIND :
The steps in Kendra’s work where did she make a mistake.
SOLUTION :
Kendra's work :
Step 1 :
Given equations are
-3x+7y=-15
and
-2x-7y=-15
Step 2:
Adding the equations (1) and (2) we get
-5 x = -10.
x=-10/-5
x = 2.
Step 3:
Substitute the value of x in the equation (1) we have,
-3(2)+7y=-15
-6+7y=-15
7y=-15+6
7y=-9
y=-9/7
y=-1 2/7
From Kendra's worked steps she made no mistake.
Hope this helps, if it did, please give brainliest, it will help me a lot :)
Have a good day :)
A
85°
O A. 45
o
E
O B. 32.5
B
C. 52.5
D. 65
SUBMIT
Answer:
A
Step-by-step explanation:
The formula for external arc measures ia 1/2(x-y) where x is 85 and y is the smaller arc. Knowing the actual angle measurement, we can see that we have 1/2(85 - y) = 20; y = 45. Answer A is your answer.
Answer two questions about Equations A and B:
A.
3(2+2) = 18
B.
2 + 2 = 6
1) How can we get Equation B from Equation A?
Answer:
All you have to do is to divide 3 to both sides in order to get rid of 3 and to get Equation B from A.
HELP!!!! PLEASE! 10 POINTS Which function is graphed?
Answer:
f(x)=2x-6
Step-by-step explanation:
Because the slope is 2 and the y-intercept is -6.
[tex]x[/tex]Answer:
The answer would be [tex]f(x)=2x-6[/tex]
Step-by-step explanation:
The question is basically asking for the slope intercept form and [tex]f(x)[/tex] is equal to [tex]y[/tex]. So after we have figured that out we would have to know what the slope intercept form is, slope intercept form is simply [tex]y=mx+b[/tex]. In the equation [tex]m[/tex] will equal the slope or the rise over run and [tex]b[/tex] will equal the y-intercept and that is all we need to solve this equation.
If we look at the graph we will see that the line crosses the y axis at the point (0,-6) so knowing that we will remember that [tex]b[/tex] is the y-intercept is where the line crosses the y axis and in this case it is crossing it at -6 so if we plug that into the equation we will get [tex]y=mx-6[/tex].
Now we will find the slope or [tex]m[/tex]. First we will see the distance between the 2 points on the graph, if we count we will have to go up 6 to get to (0,0) and we will go right 3 so we know that slope is rise over run so you would go up or rise 6 and go right or run 3 so we would get [tex]\frac{6}{3}[/tex] as our slope, but we could simplify this to just 2 so we would get [tex]2x[/tex] as our [tex]mx[/tex].
We have solved all of the parts and now we can put it together. So first we would do f of x or [tex]f(x)[/tex] which means function and than we would put [tex]2x[/tex] and finally we would put our [tex]-6[/tex]. When we put that all together we would get [tex]f(x)=2x-6[/tex].
To check you could just graph this and you would get:
P.S. The f(x) turned into a y in the process:)
Given: f(x) = x2, g(x) = x + 6, h(x) = 7
Find g{fſh(x)}}.
20
169
55
Answer:
20 or 55
Step-by-step explanation:
It depends because i am not sure what f(x) is.
Case 1: f(x)=x^2
We know h(x)=7 hence f(h(x))=7^2=49 hence g(f(h(x)))=49+6=55
Case 2: f(x)=x*2
We know h(x)=7 hence f(h(x))=2*7=14 hence g(f(h(x)))=14+6=20
Note: x^2 is x to the power of 2 while x*2 is x times 2.
how do i solve this? isn’t it already simplified? i’ll give brainliest
Answer:
[tex]-6 <x <-3[/tex]
Step-by-step explanation:
[tex]-53 <9x+1 <-26[/tex]
Add -1 to all parts.
[tex]-53-1 <9x+1-1 <-26-1[/tex]
[tex]-54 <9x <-27[/tex]
Divide all parts by 9.
[tex]-54/9 <(9x)/9 <-27/9[/tex]
[tex]-6 <x <-3[/tex]
help me plz i want help
Answer:
1/24
Step-by-step explanation:
You can see that there are 24 possible combinations by counting the results on the right. Only 1 spells AXEL - the first one. So its:
1/24
Find the output. y. when the input. x,is - 1.
Answer:
the answer is 3
Step-by-step explanation:
if on the x-axis is -1 go over to -1 on the x- axis and then go up to the peak of the line and on the y- axis it would be 3
y=3
The value of output will be 3.
What is Coordinates?A pair of numbers which describe the exact position of a point on a cartesian plane by using the horizontal and vertical lines is called the coordinates.
Given that;
The value of input (x) = - 1
Now,
Since, The value of input (x) = - 1
By graph it is clear that;
At value x = - 1, we get;
The value of output (y) = 3
Thus, The value of output (y) = 3
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