Answer:
(-3.5,2.5)
Step-by-step explanation:
[tex]m=\left( \dfrac{-6+-1}{2},\dfrac{-2+5}{2} \right)=\left( \dfrac{-7}{2},\dfrac{3}{2}\right)=\left( -3.5,2.5 \right)[/tex]
Hope this helps!
A bakery sold three kinds of muffins on Monday. The ratio of cranberry to blueberry muffins sold was 2:3. The ratio of blueberry to cinnamon muffins sold was 4:1. If 60 blueberry muffins were sold on Monday, how many more cranberry muffins than cinnamon muffins did the bakery sell?
Answer:
total cinnamon sold = 15
total cranberry sold = 40
so, according to the question
cranberry - cinnamon muffin
40-15
25
Hence, 25 cranberry muffins were sold more than cinnamon muffins.
The bakery sold 25 more cranberry muffins than cinnamon muffins on Monday.
What is an expression?An expression is a mathematical phrase that can contain variables, constants, and mathematical operations, but does not have an equals sign. Expressions are used to represent mathematical relationships and to evaluate numerical values.
Let's start by using the given ratios to determine the number of cranberry and cinnamon muffins sold on Monday.
We know that the ratio of cranberry to blueberry muffins sold was 2:3, which means that for every 2 cranberry muffins sold, 3 blueberry muffins were sold. We also know that the ratio of blueberry to cinnamon muffins sold was 4:1, which means that for every 4 blueberry muffins sold, 1 cinnamon muffin was sold.
Since we know that 60 blueberry muffins were sold on Monday, we can use the ratio of cranberry to blueberry muffins sold to find the number of cranberry muffins sold:
2/3 = x/60
Where x is the number of cranberry muffins sold.
Multiplying both sides of the equation by 60, we get:
2/3 * 60 = x
Simplifying, we get:
x = 40
So, 40 cranberry muffins were sold on Monday.
Now, using the ratio of blueberry to cinnamon muffins sold, we can find the number of cinnamon muffins sold:
4/1 = 60/y
Where y is the number of cinnamon muffins sold.
Multiplying both sides of the equation by y, we get:
4y = 60
Dividing both sides of the equation by 4, we get:
y = 15
So, 15 cinnamon muffins were sold on Monday.
Finally, to answer the question, we need to find the difference between the number of cranberry muffins sold and the number of cinnamon muffins sold:
40 - 15 = 25
Therefore, the bakery sold 25 more cranberry muffins than cinnamon muffins on Monday.
To know more about an expression follow
https://brainly.com/question/16790323
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A cube fits perfectly in a sphere. If the cube has a side length of 10cm, what is the volume of the sphere? Round your answer to the nearest hundredth (2 decimal places) or leave your answer in Pi form
Answer:
Step-by-step explanation:
Since the cube fits perfectly in the sphere, it means that the diagonal of the cube will form the diameter of the sphere. In a cube, all sides are equal. To determine the length of its diagonal, d, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
Therefore,
d² = 10² + 10² = 200
d = √200 = 14.14cm
Formula for finding the volume of a sphere is expressed as
Volume = 4/3 × π × r³
Radius of sphere = diameter/2 = 14.14/2 = 7.07cm
Volume = 4/3 × π × 7.07³ = 471.19π cm³
A prism has a trapezoid as its base whose area is 140 square centimeters. A cylinder with the same height has a radius of 6 centimeters. How much larger, to the nearest cubic centimeter, is the volume of the prism than the volume of the cylinder?
Answer:
difference in volume = 26.96h cm³
Step-by-step explanation:
The volume of a prism is the product of the base area and the height. A trapezoid prism has a trapezium as the base shape. Therefore,
volume of a trapezoid prism = area of a trapezium × height
area of the base(trapezoid) = 140 cm²
Volume = 140h
Volume of a cylinder = πr²h
where
r = radius
h = height
volume = πr²h
volume = π × 6² × h
volume = 3.14 × 36 × h
volume = 113.04h
To know how much larger the volume of the prism is than the volume of the cylinder we have to take the difference of the volume.
Recall the height are the same
difference in volume = 140h - 113.04h
difference in volume = 26.96h cm³
What is the surface area of a cone that has a radius of 5 units and a height of 10 units?
235.5 units^2 or 75π
Here is why:
The formula for the surface area of a cone is...
[tex]SA=\pi r^2+\pi rl[/tex]
Since you didn't specify if you wanted an exact or approximate answer, I will be doing both. The lateral height is l, so I'm going to assume the height you gave is the lateral height. We can now plug everything in.
[tex]SA=(3.14*5*5)+(3.14*5*10)[/tex]
[tex]SA=78.5+157[/tex]
[tex]SA=[/tex]
235.5
Now that we have the approximate answer, we will find the exact answer or the answer in pi.
[tex]SA=(\pi *5*5)+(\pi *5*10)[/tex]
[tex]SA=25\pi +50\pi[/tex]
[tex]SA=[/tex]
75π
~
The approximate answer for the surface area of the cone is 235.5 units^2 and the answer in terms of pi is 75π.
[tex]5x^{3} * 2x^{2}[/tex]
Steps to solve:
5x^3 * 2x^2
~Apply exponent rule
5x^3+2 * 2x
~Simplify
5x^5 * 2x
~Combine like terms
10x^5
Best of Luck!
solve for x
possibly answer
12
-7
5
-6
Answer:
12 is the answer. cause 5×12 is 60 and the missing angle is 60 degrees
3х - Зу = 0
4 х - у = 21 what's the solution???
Answer:
x = 7
y = 7
Step-by-step explanation:
So from this we can pull that x, y = pos
pos so 3(x) = 21
x= 7
Same
7, 7
x = 7, y = 7
Hope this helps!
Find the solution of this system of equations.
Separate the x- and y-values with a comma.
x = -9 + y
-6x + 11y = 19
Answer:
Brainliest here!
Step-by-step explanation:
Solve using a online calculator
(-16,-7)
Answer:
x= -16, y= -7
Step-by-step explanation:
x= -9+y
-6x+11y= 19
---------
-6(-9+y)+11y=19
54-6y+11y=19
54+5y=19
5y= 19-54
5y= - 35
y= -35/5
y= -7
x= -9+(-7)= -16
The product of Chau's height and 5 is 70.
Answer: 14
Step-by-step explanation: chau's height = x
x * 5 =70
5x = 70
x = 70/5
x = 14
What is the lcm of 150 and 180
Answer:
900
Step-by-step explanation:
multiply 2x2x3x3x5x5
4x9x25 which is 900
Escribe una ecuación en la forma pendiente interceptó para la línea descrita
Ejemplo 1: pendiente 1.5 , pasa por (0,5)
fórmula y=mx+b
Ayuden por favor
Answer:
Pendiente-Intercepto:
pendiente = 1.5, intercepto = 5
Ecuacion: y = 1.5x+5
Can someone plz help me I really need it ASAP help me with this problem !
Answer:
-6x
check the attachment i provided
Step-by-step explanation:
[tex]-5x-x\\\mathrm{Add\:similar\:elements:}\:-5x-x=-6x\\=-6x[/tex]
Answer:
-6x
Step-by-step explanation:
All you have to do is subtract the constants, because the variable is going to be there always
Part 1
Find the surface area of one box.
The surface area is
62(answered)
square inches.
Part 2
Find the total surface area of 100 boxes.
The total surface area of 100 boxes is
6,200(answered)
square inches.
Part 3 out of 3
One can of paint will cover 14,000 square inches. How many cans of paint will Yolanda need to buy?
Yolanda will need to buy (blank)
cans.
There are 15 students in a kindergarten class. If each kindergartner can have only one task, in how many ways can the teacher assign out
the following tasks: line leader, wipe down the tables, pass out papers, water the plants, erase the board?
The number of ways can the teacher assign out is 75.
Given that,
There are 15 students in a kindergarten class.The following tasks: line leader, wipe down the tables, pass out papers, water the plants, erase the board.Based on the above information, the calculation is as follows:
[tex]= 15\times 5[/tex]
= 75
Therefore we can conclude that The number of ways can the teacher assign out is 75.
Learn more: brainly.com/question/17429689
Rewrite 6/4 as a percent. Make sure to label your answer with %.
Answer:
to make a number a percentage you have to multiply by 100%.Mmmh so you take the 6/4 and multiply it by 100%.Which will give you 150%. The percentage is higher than 100% because in the fraction 6/4 the numerator is higher than the denominator
The solutions of a quadratic equation is 8 and 2. What is the quadratic equation?
(i need help now)
Answer:
x² - 10x + 16 = 0
Step-by-step explanation:
Given the solutions x = 8 and x = 2 , then the factors are
(x - 8) and (x - 2) and the equation is
(x - 8)(x - 2) = 0 ← expand left side using FOIL
x² - 10x + 16 = 0
Find the equation of a line which passes through (2,3)and is perpendicular to y-3x+1=0.give your answer in the form y=mx+c
Answer:
3x - 1 = 0
Step-by-step explanation:
3x + 1 = 0
The perpendicular of a line has a slope that is the negative reciprocal of that lines slope.
So the answer is 3x - 1 = 0
Let p: A triangle is acute.
Let q: A triangle is equilateral.
If q is true, which statements must be true? Select three options. p ∨ q p ∧ q p → q q → p q ↔ p
Answer:
all the statements are true
Step-by-step explanation:
The acute triangle is the triangle in which all the angles are less than 90°
While on the other hand, the equilateral triangle is the triangle in which all the angles are of 60° so this also makes the acute triangle
Given that
p = Acute triangle
q = equilateral triangle
Based on the above explanation
The conditions are as follows
p ∨ q is true, the ∨ refers “or” condition, so if any of either statement is true then the statement is true
p ∧ q is also true, the ∧ refers that both the statements should be true.
The arrows on the left and right indicate "implies," and that is true if and only if the p is false or q is true. Both p and q are valid for both the right and the left arrows
The last means equal and is valid if both p and q are the same as they are, so that is true too.
Hence, all the statements are true
Answer: They are similar because their corresponding angles have proportional measures and their corresponding sides are congruent. (not sure)
Work out the size of angle x and give reasons for your answer. Image attached.
Answer:
The answer of X would be 80°.
<FBD+100=180 (Co interior angle)
<FBD= 80
X= <FBD = 80° ( Being alternate angle)
Please help! Correct answer only!
For a fundraiser, there is a raffle with 50 tickets. One ticket will win a $180 prize, and the rest will win nothing. If you have a ticket, what is the expected payoff?
Answer:
$ 3.60 ; Type in 3.60
Step-by-step explanation:
Consider the steps below;
[tex]Total Number of Tickets - 50 Tickets,\\Possible Number of Tickets Entered - 1 Ticket,\\\\Proportion - 1 / 50\\Money Won - 180 Dollars,\\\\Proportionality - 1 / 50 = x / 180, Where, x = " Expected Payoff "\\\\1 / 50 = x / 180,\\1 / 50 * 180 = x,\\x = 180 / 50,\\x = 3.60 Dollars,\\\\Conclusion ; x = 3.60 Dollars[/tex]
Solution ; " Expected Payoff " ⇒ $ 3.60
Type the correct answer in the box. If necessary, use / for the fraction bar. Give your answer in reduced form.
A card is drawn at a random from a well-shuffled deck of playing cards. The probability that the card drawn is an ace or a red card is
Answer:
37.5% chance
Step-by-step explanation:
well if there are 52 card in a deck and 4 aces.
the probability that it will be red is 50%. As half of the cards are red and the other half is black. the probablility it wil be an ace is 25%. so finding the middle of those would be 37.5%
Answer:
It says an ace or a red card. Red cards have a 50% chance plus 2 black ace cards 26 cards is half red plus 2 28/52 Answer Reduces to: 7/13
Step-by-step explanation:
Please help asap!!
Graph (x, y): x + 2y 6
What is the value of x in the equation 1x - y = 30, when y= 15?
Replace y with 15
The equation is now:
1x - 15 = 30
Add 15 to both sides:
1x = 45
Divide both sides by 1
X = 45
Answer: X = 45
Step-by-step explanation:
1x - 15 = 30
add 15 to both sides
1x = 30 + 15
1x = 45
then you have to seperate the 1 from the x, so divide 1 from both sides
45 divided by 1 = 45
so the answer is x = 45
what is being displayed ?
Answer: The answer is (2)
Just evaluate the functions with the values of the figure
In a sale all prices are reduced by 10% .What is the sale price of an article marked AED 75.
Answer:
67.5
Step-by-step explanation:
When you calculate the 10% of AED75, it is equal to AED7.5Then you subtract AED7.5 from AED75 which is AED67.5A family pays $8.00 to park at a concert. Tickets for the concert cost $13.50 per person. The family spent a total of $89.00 for parking fees and tickets to the concert. The situation can be modeled by the equation 89 = 13.5n + 8, where n represents the number of tickets purchased. How many concert tickets did the family purchase? Tickets=
Answer:
n=6
Step-by-step explanation:
13.5n + 8 = 89
13.5n = 89 - 8
13.5n = 81
13.5n/13.5 = 81/13.5
n = 6
I hope this helps
Answer:
n=6
Step-by-step explanation:
i did it on edg 2020
Find the surface area of the polyhedra
pls!! show how you got the surface area
Answer:
384m^2
Step-by-step explanation:
surface area of cube = area of 1 side x 6
area of 1 side = 64m^2
so, surface area = 64 x 6 = 384m^2
Please mark brainiest
What is the result of subtracting the second equation from the first?
-2x+y=0
7x+3y=2
Answer:
5x -2y = -2
Step-by-step explanation:
-2x+y=0
-7x+3y=2
Subtract the second equation from the first
-2x+y=0
7x-3y=-2
------------------
5x -2y = -2
Which of the following describes the growth rate of the exponential function in the graph below?
For each x increase of 1, they increases by a common difference of 3.
For each x increase of 1, the y increases by a common factor of 3.
For each x increase of 1, the y increases by 4 more than the previous increase.
For each x increase of 1, they increases by doubling and then adding 1.
Answer:
For each x increase of 1, the y increases by a common factor of 3. (second answer listed)
Step-by-step explanation:
Notice that you have not provided the graph that the problem involves, but from the description of what the y behavior is when x increases by one, one can deduct if an exponential pattern applies.
Out of the four examples given, only one of them represents an exponential growth. Such type of growth has to include a common multiplicative factor (the base of the exponent), since the function has to be of the form:
[tex]f(x)=a\,\,b^x[/tex]
to be called exponential.
So every time that x increases by one unit, the following happens:
[tex]f(x+1)=a\,\,b^{(x+1)}\\f(x+1)= a\,\,b^x\,\,b[/tex]
So notice that the original function ends up being just multiplied by the common factor "b".
The other options don't describe such behavior.
Answer:
For each x increase of 1, the y increases by a common factor of 3.
Step-by-step explanation: hope it helps ^w^
Please answer correctly !!!!!!! Will mark brianliest !!!!!!!!!!
Answer:
22
Step-by-step explanation:
[tex]f(5)= \\\\5(5)-3=\\\\25-3=\\\\22[/tex]
Hope this helps!