A coffee shop uses 4 liters of milk every day.
a. If there is 15 L of milk in the fridge, after how many days will more milk need to be purchased?
b. If only half as much milk is used each day, after how many days will more milk need to be purchased?
Answer:
a. 15L will last the cafe 3 days if they're using 4L every day
b. 15L will last them 7 days if they're using 2L every day
Step-by-step explanation:
division.
1. John and Will ran for 6th grade class president. There were 36
students voting. John got two votes for every vote Will got. How
many votes did each get?
Answer: John got 24 votes and Will got 12.
Step-by-step explanation:
24+12=36 12*2=24 so 24 is twice as much as 12.
1. You have three standard decks of cards in front of you. What is the probability of drawing a heart card from all three decks?
2.12%
9.38%
1.56%
17.31%
Answer:
1.56%
Step-by-step explanation:
A standard deck of cards has 52 cards, and 13 of these are hearts, as there are 4 suits, and 52/4=13. This means the probability of choosing a heart card from a deck of cards is 1/4, or 25%. Now to find the probability of doing this from 3 decks in a row, we simply cube 1/4 to get 1/64, and in percentage this is ~1.56%.
Answer: 1.56%
Step-by-step explanation: there's really nothing to explain here.
Quiz From Buzz (Acceleration Education)
Hope it helps you!
If a $100 per month annuity was offering an annual 4.8% interest compounded monthly, how much money would be in the account after two years? Round your answer to the nearest cent, and do not include a dollar sign in your answer.
Answer:
109.6
Step-by-step explanation:
100+100×(4.8%×2)=100+ 100×9.6%=100+9.6=109.6
Answer:
The money account after two years will be 110.054
Step-by-step explanation:
Compound interest formula\(A = P(1 + \frac{r}{n})^{nt}\)
A = final amount = required to know
P = initial principal balance = $100
r = interest rate = 4.8%=4.8/100 because compounded monthly
n = number of times interest applied per time period = 12
t = number of time periods elapsed = 2
\(A = P(1 + \frac{4.8}{1200})^{24}\)
\(A= 100(1+0.004)^{24}\)
A= \(110.054\)
Thus, The money account after two years will be 110.054
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V7xV2
Realiza la siguiente multiplicación de raíces cuadradas
It is always a good practice to simplify the result whenever possible, but in this case, V14 is the simplest form of the product of V7 and V2.
To multiply the square roots V7 and V2, we can combine the numbers inside the square roots and simplify the result.
V7 * V2 = V(7 * 2) = V14
Multiplying the numbers under the square roots, we get 7 * 2 = 14. Therefore, the product of V7 and V2 is V14.
This means that the square root of 14 is the result of multiplying V7 and V2. However, it is important to note that V14 cannot be further simplified because 14 does not have any perfect square factors.
In summary, the product of V7 and V2 is V14. It is worth mentioning that when multiplying square roots, we can multiply the numbers inside the square roots and keep the square root symbol intact, unless the numbers inside have perfect square factors that can be simplified further.
It is always a good practice to simplify the result whenever possible, but in this case, V14 is the simplest form of the product of V7 and V2.
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what is 2x =6.5
And how
Answer:
Step-by-step explanation:
2x =6.5
To find the value of x, divide both sides by 2 so you will have 1x.
x = 3.25
Answer:
2x = 6.5
x = 6.5/2
(move the 2 and flip its sign. It was multiplication before the equal sign, so now it will be division.)
x = 3.25
Help! It's geometry. :) 35 points.
Answer:
g = 21
h = 8
Step-by-step explanation:
3g + 5 + 6g - 14 = 180 (since they are adjacent angles and will equal 180)
Simplify to get g = 21.
Substitute 21 for g in 3g + 5 and set that equal to 9h - 4 and solve for h to get 8 (since they are opposite angles and will equal each other)
Answer:g=21 h = 8
Step-by-step explanation:
That's a rhombus supposedly so the opposite angles are congruent.
This means 9h-4=3g+5 Also the opposite sides of a rhombus add up to 180 degrees, so 3g+5+6g-14=180
9g=,189 g = 21
now plug this into the first equation
9h-4=3(21)+5
9h-4=63+5
9h=72
h=8
If told that |A|=48 what are the possible values for X.
Please help!
If the value of |A| is 48 the possible values for x in the matrix is 4 or -2.
How to use determinant to find a value in a matrix?The determinant of the matrix A is as follows:
|A| = 48
Therefore,
48 = (3x × 2x) - (4x × 3)
48 = 6x² - 12x
6x² - 12x - 48 = 0
3x² - 6x - 24 = 0
x² - 2x - 8 = 0
x² + 2x - 4x - 8 = 0
x(x + 2 -4(x + 2) = 0
(x - 4)(x +2) = 0
Therefore,
x = 4 or -2
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Question 10: The graph below shows a company's profits f(x), in dollars, depending on the price of 8.01 & 8.04
pens x, in dollars, sold by the company.
Part A (2pts): Highlight your answer below
150
90
00
30
f(x)
What does the maximum value represent?
A The point where no profit is made
B.
C.
D.
The point where the most profit is made
The point where the most pens are made
The point where no pens are made.
Part B (2 pts) Highlight/circle your answer What do the x-intercepts represent?
A.
The price per pen where the most profit is made
B.
The price per pen where no profit is made.
C.
D.
The point where the most pens are made.
The point where no pens are made.
Part C (3 pts): What is an approximate average rate of change of the graph from
x=3 to x = 6? Show your work.
Part D (3 pts) Drag & Drop into the blanks to describe the constraints of the
domain.
The domain of this graph given the situation is
because
beyond those points.
+
Z
The x-intercepts represent a zero profit, the maximum value of the graph represents the maximum profit, An approximate average rate of change of the graph from x=3 to x=5 represents the reduction in profit from 3 to 5 and the domain is constrained by x=0.
Part A:
The x-intercepts represent a zero profit.
The maximum value of the graph represents the maximum profit.
The function increases up till the vertex and decreases after it.
This means that the profit increases as it reaches the peak at the vertex.
It decreases after the vertex up till it reaches zero.
On the left of the first zero and on the right of the second zero, the profits are negative.
Part B:
An approximate average rate of change of the graph from x=3 to x=5 represents the reduction in profit from 3 to 5.
Part C:
Simply, the domain is constrained by x=0.
We are obliged at x=6 .
This is because we have to avoid a negative profit.
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find four rational number between -1 and -1/2
Answer:
-3/4, -99/100, -7/8, -2/3
Step-by-step explanation:
rational numbers are numbers that can be made by dividing two integers
the numbers that are less than -1/2 and bigger than -1 are options, even -1 and -1/2
Find the distance covered by a car travelling at 65 65-kmh-1 for 7 hours.
Answer:
1105km
Step-by-step explanation:
d=s×t
=65kmh^-1×7
=1105km
Anne and chima are to share a sum of money in ratio 4:1.Anne obtains #6000.what is chima's share?
Answer:
Chima would obtain 1200
Find the value of x geometry
Answer:
x = 22
Step-by-step explanation:
Since the the 2 bisectors are equal, that means the chords are also equal. Since bisector splits into 2 equal parts, 11 + 11 equals 22
A box contains 240 lumps of sugar. Five lumps are fitted across the box and there were three layers. How many lumps are fitted along the box?
What are the x-int of the parabola graphed
below?
2
N
O x=2 and x=4
Ox=0 and x=4
O
x=1 and x=0
О
X=1 and x=2
Answer:
Step-by-step explanation:
The x-intercepts exist where y is equal to 0...which is ON the x-axis. Hence, the name "x-intercept". These are caled zeros, solutions, and roots. This parabola goes through the x-axis at x = 0 and x = 4. It is at both of these locations where the y-coordinate is 0.
5.
Peggy wants to build a solid cube with a side length of 5 units. Peggy has 45 unit cubes. How many
more unit cubes does she need?
Answer:
80
Step-by-step explanation:
The cube Peggy wants to build will require 5×5×5 = 125 unit cubes. Since she has 45, she will need 80 more.
____
Peggy's cube will have 5 cubes along one edge. Then one layer will be 5 times that many, so 25 cubes. The 5 layers will be 5 times that many, so 125 cubes.
y=-x-6 y=x-4 with substation
Answer: y = – x – 6
y = x – 4
Substitute into y = -x-6 into the second equation
y =x-4
-x-6 = x-4
Add x to each side
-x-6+x =x-4+x
-6 =2x-4
Add 4 to each side
-6+4 =2x-4+4
-2 = 2x
Divide by 2
-2/2 =2x/2
-1 = x
Now find y
y =-x-6
y = -(-1) -6
y =1-6
y = -5
a/b - c + d if a = 7/8, b= -7/16, c= 0.8 and d= 1/4 write your answer as a mixed number in simplest form? help me please
−|−39| =
|−44|+5 =
50−|−18| =
Answer:
-39
49
32
Step-by-step explanation:
⁄(⁄ ⁄•⁄ω⁄•⁄ ⁄)⁄
Answer:
1. -39
2. 49
3. 32
Step-by-step explanation:
absolute values are always positive!!!
|-39| = 39 but since there is a minus sign outside the lines it is -39
|-44| = 44+5= 49
And 50 - 18 = 32 (|-18| = 18)
Please help fasst???!!! Plzzzx
Answer:
y = 10(½)^(x)
Step-by-step explanation:
In writing exponential functions passing through points, we will just substitute the x and y values in each case into y = ab^(x).
Now, for point (-1, 20), the exponential function is; 20 = ab^(-1)
20 = a/b
For the point (1, 5), the exponential function is; 5 = ab^(1)
5 = ab
From 20 = a/b, we have; a = 20b
Thus, putting 20b for a in 5 = ab, we have;
5 = 20b(b)
b² = 5/20
b² = 1/4
b = √(1/4)
b = 1/2
Since a = 20b, then;
a = 20 × 1/2
a = 10
Thus, from y = ab^(x), we have;
y = 10(½)^(x)
Verify my answer an explanation on how to do this
Given:
In the California Community Colleges an undergraduate student survey was taken that compares the class of the student to their opinion on whether or not they favor or oppose same sex marriages . The following data is a summary of the survey taken by questioning 500 undergraduate students.
Required:
If a student from the survey is selected at random , then we need to find the probability that the student favors same sex marriages , given that the student is not a Senior
Explanation:
Here we need the probability in which students are in the favor of sex marrige but noe senior
\(276-53=223\)so 223 students are in the favors sex marrige but not seniors
so the probability is
Final answer:
\(\frac{223}{500}\)What is the answer to p.. -7 + 8p = 7p
Answer:
P = 7
Step-by-step explanation:
Move all terms containing p to the left side of the equation.
anyone know? its due tonight
Answer:
12 cm
Step-by-step explanation:
Well first we can cut the triangle in half and use the Pythagorean theorm
a^2+b^2=c^2
In this case we are going to be doing c^2-a^2=b^2
10^2-8^2=b^2
(10*10)-(8*8)=b^2
100-64=b^2
36=b^2
Now we just square root 36 (what number times itself is 36)
\(\sqrt{36}\)
b=6
Since half of the one side equals 6 (DC) then the length of AC is 12!
Answer:
hey mate here is your answer...
Step-by-step explanation:
by using Pythagoras theorem...
BC² = BD² + DC²10² = 8² + DC²DC² = 100 - 64DC² = 36DC = 6DC is the half of AC.Therefore AC = 12 centimetres.hope it helps you ❣️
The vertex of the parabola is (1, 6).
y=x^2-2x-5
True of False
Answer:
False
Step-by-step explanation:
I'm the girl who helped you with math on Saturday. If you need more help, I'll be on p a dlet at 3:30 pm on Monday (Jan 10)
A value meal package at Ron's Subs consists of a drink, a sandwich, and a bag of chips. There are 5 types of drinks to choose from, 6 types of sandwiches, and 3 types of chips. How many different value meal packages are possible
Answer: 90 different meal packages.
Step-by-step explanation:
Given data:
Types of drinks available = 5
Types of sandwiches available = 6
Types of chips available = 3.
Solution:
No of meal packages possible for this combination
= 6*5*3
= 90
A total of 90 different meal packages would be gotten:
When asked about their favorite
holiday, only 10% of the class picked
Valentines Day. How many student
picked Valentine's Day if there were 30
students?
late the sentence into an equation.
Three less than the product of 2 and a number is 4 .
Use the variable x for the unknown number.
The expression of the given statement is 2y - 3 = -1
What is Expression?Expressions are mathematical statements that comprise either numbers, variables, or both and at least two terms associated by an operator. The operations of mathematics include multiplication, division, addition, and subtraction.
A phrase is considered a mathematical expression if it contains at least two numbers or variables and one or more mathematical operations. Let's look at how expressions are written.
The expression of the given statement is 2y - 3 = 4.
Here, let the unknown number = y
Now, product of y and 2 = 2 times y = 2y
Also, three less than the product = Product - 3
So, three less than the product of 3 and y = 2 y - 3
Now, this above expression is equivalent to -1.
⇒2 y - 3 = -1
Hence the expression of the given statement is 2y - 3 = -1
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The sentence "Three less than the product of 2 and a number is 4" can be translated into the equation: 2x - 3 = 4
What is an equation?A mathematical statement that demonstrates the equivalence of two expressions is known as an equation.
It has two sides that are divided by the equals sign (=).
Variables, constants, coefficients, operators, and functions can all be used in the expressions on either side of the equation.
Here, x represents the unknown number that we are trying to solve for. The expression "the product of 2 and a number" is represented by 2x, and "three less than" is represented by the subtraction of 3 from that product. This expression is set equal to 4, which is the result given in the original sentence.
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what shapes have 2 pairs of parallel sides? Choose all that arw correct.
Answer:
can we see the options please
Show that the angle bisector of an equilateral triangle is perpendicular to the base
To show that the angle bisector of an equilateral triangle is perpendicular to the base, we can assume an equilateral triangle with sides ABC. Next, we can get an angle bisector in the middle represented by BD which becomes perpendicular to the base BC.
How to prove that the angle bisector is perpendicular to baseAfter getting the angle bisector, we would see that the line segment BD, divides angle BAC into two equal angles, each measuring 30 degrees. Now, we can draw a perpendicular line from point D to the base BC.
We could also draw a line E, which is the perpendicular line that intersects the base BC. We want to show that BD is perpendicular to BC, which means we need to show that angle BDE is a right angle.
Since the sum of angles BDA and ADE is 90 degrees (they form a right angle), and the sum of angles BAD, ABD, and BDA is 180 degrees, it follows that angle BDE must be a right angle.
Therefore, we have shown that the angle bisector of an equilateral triangle is perpendicular to the base.
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#1 (7.6)
ABXC is a right triangle where mzXBC-90°, mzCXB-60°, and XB-5. Determine the length
of each side. Leave your answer as an exact answer.
1. Draw the triangle and label the given parts
2. Identify side types:
30-60-90 has hypotenuse, short, long
45-45-90 has hypotenuse, leg, leg
3. Write the formulas for the special right triangle. Plug in your values and solve.
To enter a square root answer, type the number outside and the number inside using the two
boxes provided. For example, 7√2 would look like 7
Length
Side
CB (long)
XB (hypotenuse)
The the length of each side of the triangle are: 5 units, 8.7 units and 10 units respective
What is a triangle?A triangle is a polygon with three sides, three angles, three vertices and sum of angles equal to 180 degrees
From the triangle, Using the trigonometric ratio of sine
Sin C = opposite/Hypothenuse
Sin30 = 5/H
Making h the subject of the relation we have
h= 5/sin30
h=5/0.5
Therefore the value of h=10 units
To find the third side use Pythagoras theorem
10² = 5²+p²
100-25 = p²
75 = p²
Taking the square of both sides
p=√75
p=8.7 units
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