Answer:
13 chocolates
Step-by-step explanation:
How many chocolate bars can she buy ?
$23.25 : $1.75 = + $0.50 rest
Answer:
13
Step-by-step explanation:
23.25/1.75= 13.29 so u would woould this to 13
Solve this quadratic equation by completing the square.
x2 + 4x = 15
A. X=-2 19
B. X=-4 + 15
C. X = -4 + 19
D. X = -2 + 15
SUB
Answer:
-2+√19 or x=-2-√19
Step-by-step explanation:
completing the square it results :
x=-2+√19 or x=-2-√19
Two prisms are similar with a scale factor of 1:4. Find the volume of the smaller prism given that the volume of the larger is 2400ft3.
The Volume of the smaller prism is 37.5 ft³.
What is a Prism?Prism is a three-dimensional structure that has identical polygon bases, and other faces are identical parallelograms.
The volume of the prism is determined by the formula
V = Bh
B is the base area and h is the height of the Prism.
The scale factor is given as 1/4, as the volume of the larger prism is given.
The volume of the larger prism is 2400 ft³
the side lengths will be multiplied by 1/4
Let the base area is for the larger prism the area for the smaller prism will be equal to
A = (1/16) a
The height of the larger prism is h.
Height of the smaller prism will be (1/4)h
The volume of the smaller prism = (1/16)*(1/4) Volume of the Larger Prism
The volume of the smaller prism = 2400 / (16*4)
The volume of the smaller prism = 37.5 ft³.
To know more about the Volume of Prism
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The diagram shows a 5 cm x 5 cm x 5 cm cube.
Calculate the length of the diagonal AB.
Give your answer correct to 1 decimal place.
Answer:
8.7 cm
Step-by-step explanation:
The question is a 2-two-step Pythagoras theorem. (c^2 = a^2 + b^2)
Consider as such, If I were to draw a diagonal line along the base of the cube what is the length of the diagonal line. To find out that we use the theorem. We can substitute a for 5 and b for 5 as well. So
a^2 +b^2 = c^2
5^2 + 5^2 = c^2
25 + 25 = c^2
√50 = c
Then since the line side of the cube is on a 3d angle we need to do the same process again but now using the imaginary diagonal line that we just calculated and the height (5).
a^2 +b^2 = c^2
√50^2 + 5^2 = c^2
50 + 25 = c^2
√75 = c
c = 8.6602...
when rounded to 1 d.p.
c = 8.7
Line AB is 8.7 cm long.
58.30
The slope of the graph of the equation y2x-2 is 2. What is the y-intercept?
y-intercept =
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Answer:
the slope is 2 and the y intercept is -2
Step-by-step explanation:
y=2x-2
This is in the form y = mx+b where m is the slope and b is the y intercept
the slope is 2 and the y intercept is -2
the tens digit exceeds the units digit by 3. If the units digit is r what is the value of the number ?The next even integer that is larger than 2n, if 2n is an even integer.
Answer:
a) we know that:
the tens digit exeeds the units digit by 3, then if we have two digits
ab.
and b, the digit for units is equal to r.
then a, the digit for tens, is equal to r + 3.
Then, if r = 4, we have that the digit for tens is r + 3 = 7
and the number is 74.
b) if n is an integer, then we know that 2*n is an even number.
Now, the next even number is always 2 units away, then the next even number to 2*n is:
2*n + 2 = 2*(n + 1)
Fill in the blanks please
Answer:
Step-by-step explanation:
MNOP is a parallelogram Given
PM // ON opposite sides of parallelogram are parallel
∠ NOM = ∠ONP Alternate angles theorem
MN // OP opposite sides of parallelogram are parallel
∠NOP =∠ MNO Alternate angles theorem
ON = ON common to both triangles ΔOMN & ΔONP
ΔOMN ≅ ΔONP ASA congruent
PM ≅ ON CPCT -Corresponding Part of Congruent triangle
The factors for x^2 + 5x + 6 are x + 2 and x + 3. True or false?
Answer:
Step-by-step explanation:
x2+5x+6
=x2+3x+2x+6
=x(x+3)+2(x+3)
=(x+2)( x+3)
hence true...
A restaurant offers 6 choices of appetizer, 8 choices of a main meal, and 5 choices of dessert. A customer can choose to eat just one course, or two different courses, or all three courses. Assuming all choices are available, how many different possible meals does the restaurant offer?
Answer:
377 choices
Step-by-step explanation:
From the above question, we are told that
A restaurant offers 6 choices of appetizer, 8 choices of main meal and 5 choices of dessert. A customer can choose to eat just one course, or two different courses, or all three courses.
Let us represent each choice by :
A = Appetizer = 6
M = Main meal = 8
D = Dessert = 5
a) The combination of the 3 choices together
AMD=6 × 8 × 5=240
b) AM= Appetizer and Main meal
= 6 × 8 = 48
c) AD= Appetizer and Dessert
= 6 × 5 = 30
d) MD = Main meal × Dessert
= 8 × 5 = 40
e) A,M,D (each alone)=
Appetizer + Main meal + Dessert
= 6 + 8 + 5
= 19
Assuming all choices are available, how many different possible meals does the restaurant offer?
This is calculated as:
AMD + AM + AD + MD + A,M,D
240 + 48 + 30 + 40 + 19
= 377 choices
What is the biggest whole number smaller than the perimeter of any triangle with a side of length 5.6 and a side of length 19.7?
Answer:
50
Step-by-step explanation:
The perimeter of a Triangle is the sum of it's 3 sides.
We are given two sides here which is side length 5.6 and a side of length 19.7
Let's us represent the third side as x
Therefore
x + 19.7 + 5.6 = Perimeter of the triangle
We would have this equation
But it is important to know that every side of a triangle must be less than the sum of the other two sides, hence
x < 19.7 + 5.6
x < 25.3
Adding 25.3 to both sides to make the left side equal to the perimeter
perimeter = x+25.3 < 25.3 + 25.3 = 50.6
Therefore, 50.6 is the smallest whole number that is larger than the perimeter of the triangle in the question above.
Therefore, the biggest whole number smaller than the perimeter of the above triangle is 50
Answer:
39
Step-by-step explanation:
25.3<x>14.1
Because 5.6 +19.7=25.3
Because 19.7-5.6=14.1
And 25.3+14.1=39.4
WE NEED WHOLE NUMBER A LITTLE BIT SMALLER (cause thats the question)
S0, 39.4 turns into 39
Which inequality will have a shaded area below the boundary line?
A y-x>5
B. 2x-3y< 3
C. 2x-3y
D. 7x+ 2y<2
E. 3x+4y> 12
Answer:
D. 2y < 2
Step-by-step explanation:
To find the equation with shaded area below the boundary line, all we need to do is to examine each inequality and find the one which gives
+y < ( a constant)
We can leave out the x term for this.
For example:
A. y>5 clearly it is shaded above the line (because of the > sign)
B. -3y <3 => 3y > -3 so again it is shaded above
C. -3y is not even an inequality
D. 2y < 2 clearly it is shaded BELOW
E. 4y >12 clearly it is shaded above
See also attached diagram. The answer is represented by the purple area. All the other areas are shaded above the boundary line.
Two random samples were taken to determine how often people in a community listen to the local radio station each month. The first sample surveyed 15 people as they exited the bank on Main Street. The first sample found that the mean number of hours they listened to the radio each month was 20. The second sample surveyed every sixth person as they exited the only local grocery store until 100 people were surveyed. The second sample found that the mean number of hours they listened to the radio each month was 12. Which statements are true? Check all that apply. The second sample is random. The second sample is likely to be more representative of the population. The first sample is likely to be more representative of the population. The second sample will give a better representation because is it larger. The first sample will give a better representation because it is smaller. Community members are more likely to listen to the radio station an average of 12 hours a month than 20 hours a month.
Answer:
The answers to this question are 1,2,4,6. Hope this helps you
Step-by-step explanation:
Statements A, B, E, and F are true. The second sample was taken at random using a fair sampling technique.
What is the probability?Probability is synonymous with possibility. It is concerned with the occurrence of a random event.
Probability can only have a value between 0 and 1. Its simple notion is that something is very likely to occur. It is the proportion of favorable events to the total number of events.
The correct statement is as follows;
A) The second sample is random.
B) The second sample is likely to be more representative of the population.
D) The second sample will give a better representation because is it larger.
F) Community members are more likely to listen to the radio station an average of 12 hours a month than 20 hours a month.
The second sample was taken at random using a fair sampling technique.
Because the research using the larger data size is accepted rather than that of the smaller data, community members are more likely to listen to the radio station an average of 12 hours a month than 20 hours.
A research's sample size is a crucial consideration. Additionally, the second sample is probably a better indicator of the broader population.
Hence statements A, B, E, and F are true.
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GIVING BRANLIEST TO FIRST CORRECT ANSWER
Answer:
Step-by-step explanation:
y²+2by+b²-a²-6ad-9d²(y+b)²-(a²+2*3d*a+(3d)²)(y+b)²-(a+3d)²(y+b+a+3d)*(y+b-a-3d)Answer:
( y + b - a - 3d)(y + b + a + 3d).
Step-by-step explanation:
y^2 + 2by + b^2 - a^2 - 6ad - 9d^2
= y^2 + 2by + b^2 - (a^2 + 6ad + 9d^2)
= (y + b)^2 - (a + 3d)^2
This is the difference of 2 squares so we have
(y + b - (a + 3d))(y + b + (a + 3d))
= ( y + b - a - 3d)(y + b + a + 3d)
Find two numbers whose sum equals 6 and whose product equals 4.
Answer:
You've described a system of equations:
x+y=6
x*y=4
The easiest way to solve is with substitution. If you rearrange the first equation, you'll find that y = 6-x. Substitute this into the second to get x(6-x) = 10
This is a quadratic equation that you should be able to solve with the quadratic formula. Be aware that the answers are complex.
Step-by-step explanation:
A popular dance club allows 30 customers to enter per hour. The club has to keep their occupancy below 400 at any time during the day. Currently, the club has 130 customers. If none of the customers leave, how many more hours, x, can the club continue to accept new customers? Select the number line that includes the largest number of hours the club can continue to accept new customers without exceeding their occupancy
Answer:
largest # of hours is 9
Step-by-step explanation:
Can someone help me with this? This is my summer school work, i'm failing miserably and I don't understand this at all.
Answer:
C
Step-by-step explanation:
the equation formula is y = mx+b
y is always y
m is the slope
x is always x
and b is the y-intercept.
in this case, m, the slope, is 7.
b, the y -intercept, is -3.
Answer:
[tex]\boxed{Option C}[/tex]
Step-by-step explanation:
Given equation is
=> y = 7x-3
Comparing it with standard slope intercept equation:
=> [tex]y = mx+c[/tex]
Where m is slope, c is y-intercept
So,
Slope = 7, y-intercept = (0,-3)
-402 + br – 11 = 0
Determine a possible value of b so that the quadratic has two complex solutions.
1)
12
2)
-14
3)
-16
4)
14
Answer:
2
Step-by-step explanation:
The population of Peru is 10904 the population of Franklin is 25248. The population of Franklin is percent more than the population of Peru
Answer:
132%
Step-by-step explanation:
The population of Peru = 10904
The population of Franklin = 25248.
Difference = 25248-10904=14,344
Expressing as a percentage of the population of Peru
[tex]\dfrac{14344}{10904} X 100[/tex]
=132%
Therefore, the population of Franklin is 132% more than the population of Peru.
2/3x + 2= 21/3 solve for x a. 0 b. 1/2 c -2 d. 2
Answer:
x = 7.5
Step-by-step explanation:
2/3x + 2= 21/3
Subtract 2 from each side
2/3x + 2-2= 21/3-2
2/3x = 21/3 - 6/3
2/3x =15/3
2/3x = 5
Multiply each side by 3/2 to isolate x
2/3x * 3/2 = 5 *3/2
x = 15/2
Which of the following inequalities could be represented by the graph?
The Statue of Liberty weighs about 2.04 x 105 kg. The Washington Monument weighs about 9.07 x 107 kg. About how many more kilograms does the Washington Monument weigh than the Statue of Liberty?
Answer:
[tex]9.05 * 10^{7} kg[/tex]
Step-by-step explanation:
Given
[tex]Statue\ of\ Liberty\ =\ 2.04 * 10^5 kg[/tex]
[tex]Washington\ Monument\ =\ 9.07 * 10^7 kg[/tex]
To get the number of kilograms the Washington Monument weighs more than the Statue of Liberty, we simply calculate the difference;
Difference = Washington Monument - Statue of Liberty
[tex]Difference = \ 9.07 * 10^7 kg - \ 2.04 * 10^5 kg[/tex]
Expand [tex]10^7[/tex]
[tex]Difference = \ 9.07 * 10^{5+2} kg - \ 2.04 * 10^5 kg[/tex]
[tex]Difference = \ 9.07 * 10^{5} * 10^2 kg - \ 2.04 * 10^5 kg[/tex]
Take out the common factor in the above expression
[tex]Difference = 10^{5}\ (\ 9.07 * 10^2 kg - \ 2.04\ kg)[/tex]
[tex]10^2 = 100;[/tex] so we have
[tex]Difference = 10^{5}\ (\ 9.07 * 100 kg - \ 2.04\ kg)[/tex]
[tex]Difference = 10^{5}\ (\ 907 kg - \ 2.04\ kg)[/tex]
[tex]Difference = 10^{5}\ (904.96\ kg)[/tex]
Open bracket
[tex]Difference =904.96 * 10^{5} kg[/tex]
Write in standard form
[tex]Difference =9.0496 * 10^2 * 10^{5} kg[/tex]
[tex]Difference =9.0496 * 10^7 kg[/tex]
[tex]Difference =9.05 * 10^7 kg[/tex] (Approximated)
Hence, he Washington Monument weigh more than the Statue of Liberty by about [tex]9.05 * 10^{7} kg[/tex]
Answer:
it is d i just did the 4 quiestion assignment by the learning odessy
Step-by-step explanation:
14. Which graph shows the solution to the following system?
1
-x-2
y -
4
7
y = -x + 4
Answer:
Option (B)
Step-by-step explanation:
Equations of the lines shown in the graph are,
[tex]y=\frac{1}{4}x-2[/tex] and [tex]y=\frac{7}{4}x+4[/tex]
For equation (1),
[tex]y=\frac{1}{4}x-2[/tex]
Slope of the line = [tex]\frac{1}{4}[/tex]
And y-intercept of the line = -2
For equation (2),
[tex]y=\frac{7}{4}x+4[/tex]
Slope of this line = [tex]\frac{7}{4}[/tex]
And y-intercept of the line = 4
From the given graphs in the options,
Graph (B) shows the lines which show the y-intercepts as y = 4 and y = -2
Therefore, Option (B) will be the answer.
IMPORTANT. LOTS OF POINTS. SOLVE NOW. Rays OM , ON , and OP coincide at time t=0. At the same instant in time, OM and OP begin to rotate in the plane about point O, but in opposite directions. Ray ON remains fixed. Ray OM rotates at a constant rate of 3° per second with respect to ON , while OP rotates at a constant rate of 6° per second. What is the smallest positive value of t, in seconds, in which rays OM and OP will coincide again? When t=30 min, how many more revolutions has ray OP completed than ray OM ?
Answer:
t=40 seg OP does 15 more revolutions than OM
Step-by-step explanation:
i didn't do this, just answering it just in case someone doesnt look at the comments
To graph f(x) = 2x ^2+ 1, what would
you do to the graph of f(x) = x??
Answer:
Well you make a parabola 2 times more narrow.
move it up 1
Find the value of the discriminant (D) and describe the roots for the quadratic equation shown below.
y= ax + bx + c
y= x + 3x-4
A. D= -7 and the roots are irrational.
B. D = 22 and the roots are irrational.
C. D= 25 and the roots are rational.
D. D=5 and the roots are rational.
Answer: C
Step-by-step explanation:
y = ax + bx + c is the general equation for quadratic function. While the discriminant D is
D = b^2 - 4ac
You are given the equation:
y = x^2 + 3x - 4
Where a = 1, b = 3 and c = -4
Substitutes all the parameters into the discriminant D formula
D = 3^2 - 4 × 1 × -4
D = 9 - ( - 16 )
Open the bracket
D = 9 + 16
D = 25
Therefore, D = 25 and the roots are rational
The average American drink about eight servings of hydrated beverages every day. Each member of a household of four members drink the same amount of hydrator beverage each day as the average American. How many servings of hydrated beverages (w) with the members of the household consume in a week?
Answer:
Step-by-step explanation
Write an equation to represent the total servings of hydrated beverages consumed w by m household members during a period of d days.
I thinks 8M times D because the average American drinks 8 servings so that 8M and then you multiply it by however many people are in the house so
8 times members times days
(4x - 3) - (5x - 7) 4x - (3y - 2x) Please answer both
Answer: #1: -x + 5 #2: 6x - 3y
Step-by-step explanation:
Question:
(4x - 3) - (5x - 7)
Distribute Negative
(4x - 3) + (-5x + 7)
Add like terms
Final Answer:
-x + 5
Question:
4x - (3y - 2x)
Distribute Negative
4x + (-3y + 2x)
Add like terms
Final Answer:
6x - 3y
<!> Brainliest is appreciated! <!>
━━━━━━━☆☆━━━━━━━
▹ Answer
(4x - 3) - (5x - 7) = -x + 4
4x - (3y - 2x) = 6x - 3y
▹ Step-by-Step Explanation
(4x - 3) - (5x - 7)
Remove the parentheses
4x - 3 - (5x - 7
Collect like terms
-x - 3 + 7
Final Answer
-x + 4
Hope this helps!
- CloutAnswers ❁
4x - (3y - 2x)
Remove the parentheses
4x - 3y + 2x
Collect like terms
6x - 3y
Final Answer
6x - 3y
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
What is the value of x?
12 units
15 units
20 units
25 units
Need work shown please
Answer:
15=x
Step-by-step explanation:
a^2 + b^2=c^2
=9^2 +12^2 =x^2
=81 +144=x^2
=/225 =/x^2
=15=x
Answer:
x = 12
Step-by-step explanation:
Use the right triangle altitude theorem.
16/x = x/9
x^2 = 16 * 9
x^2 = 144
x = 12
A moth of a year is chosen at random what is the probability that the month starts with the letter j or the letter M? 5/24p
Answerr:
Step-by-step explanation:
The table shows how an elevator 500 feet above the ground is descending at a steady rate. A two column table with 5 rows. The first column, time in seconds (t), has the entries, 0, 5, 10, 15. The second column, Height in feet h(t), has the entries, 500, 475, 450, 425. Which equation represents the height, h(t), of the elevator in feet, as a function of t, the number of seconds during which it has been descending?
Answer:
h(t)=-5t+-500
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
i took the test
Determine the measure of ∠A. answers: 1) 192° 2) 88° 3) 84° 4) 168°
Answer:
m∠A = 168°
Step-by-step explanation:
The degrees of an arc is the same as the degrees of its corresponding angle.