Answer:
n = 12, q = 9
Step-by-step explanation:
The simultaneous equation that represents the expression is;
n + q = 21 .......... 1
0.05n + 0.25q = 2.85 ........ 2
Multiply equation 2 by 100 to have;
5n + 25q = 285
n + 5q = 57
____________________________________
n + 5q = 57
n + q = 21
Substract the resulting equations
5q-q = 57-21
4q = 36
q = 36/4
q = 9
Substitute q = 9 into eqn 1;
From 1; n+q = 21
n = 21-q
n = 21-9
n = 12
Hence she has 12 nickels and 9 quarters
Joel has brownies. The length of each brownie is 7cm and the width is 5cm find the area of the brownies
The area of each brownie is 35 cm².
What is area?Area is the amount of space occupied by a two-dimensional figure. In other words, it is the quantity that measures the number of unit squares that cover the surface of a closed figure. The standard unit of area is square units which is generally represented as square inches, square feet, etc.
Given that, the length of each brownie is 7 cm and the width is 5 cm.
Here, the area is Length×Width
= 7×5
= 35 cm²
Therefore, the area of each brownie is 35 cm².
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At a dinner the meal cost $22 and a sales tax of $1.87 was added to the bill what is the tax rate for meals in this city
Answer: 8.5%
My bad pimp
Answer:
8.5%
Step-by-step explanation:
1.87/22 = .085 x 100 = 8.5%
what is 1/9+3/5= what is the fraction
Answer:
32/45
Step-by-step explanation:
Helen Sanchez's checking account had a balance of $678.22. She wrote a check to pay her gasoline charge
card for $17.21 and a check to the grocery store for $172.71. What is her new balance?
O $668.01
O $488.30
0 $661.01
O $478.30
find the value of x. SIMPLEST RADICAL FORM
For given triangle, x is 4√5 using Pythagorean theorem.
What is Pythagorean Theorem?
Pythagoras Theorem (also known as Pythagorean Theorem) is a mathematical concept that explains the relationship between the sides of a right-angled triangle. The sides of a right triangle are also referred to as Pythagorean triples. This theorem's formula and proof are discussed with examples here.
The Pythagorean theorem is used to calculate the length of an unknown side and the angle of a triangle. We can deduce the base, perpendicular, and hypotenuse formulae from this theorem.
The Pythagoras Theorem formula is presented in the definition as:
Perpendicular² + Base² = Hypotenuse²
c² = a² + b²
Now,
Given that perpendicular =19
Hypotenuse=21
then Base²=21²-19² using Pythagoras theorem
Base=√441-361
=√80
=4√5
Hence,
x is 4√5
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The test scores for a group of students are shown.
60, 69, 79, 80, 86, 86, 86, 89, 90, 100
Calculate the five number summary of the data set? Minimum = First Quartile (Q1) = Median = Third Quartile (Q3) = Maximum = What is the interquartile range (IQR) Which test score is an outlier?
60
69
90
100
Answer:
Minimum=60
First Quartile(Q1)=79
Median=86
Third Quartile (Q3)=89
Interquartile range (IQR)=10
Which unit of length would be most appropriate to describe the length of your
foot?
Answer:
inches
Step-by-step explanation:
well depends on how big your foot is
what is the graph of f(x) = 5(2)^x
The graph of the function f(x) = 5(2)^x is an upward-sloping exponential curve that starts at (0, 5) and increases rapidly as x moves to the right, never crossing the x-axis.
The function f(x) = 5(2)^x represents exponential growth. Let's analyze its graph.
As x increases, the value of 2^x grows exponentially. Multiplying it by 5 further amplifies the growth. Here are a few key points to consider:
When x = 0, 2^0 = 1, so f(0) = 5(1) = 5. This is the y-intercept of the graph, meaning the function passes through the point (0, 5).
As x increases, 2^x grows rapidly. For positive values of x, the function will increase quickly. As x approaches positive infinity, 2^x grows without bound, resulting in the function also growing without bound.
For negative values of x, 2^x approaches zero. However, the function is multiplied by 5, so it will not reach zero. Instead, it will approach y = 0, but the graph will never touch or cross the x-axis.
The function is always positive since 2^x is positive for any value of x, and multiplying by 5 does not change the sign.
Based on these observations, we can conclude that the graph of f(x) = 5(2)^x will be an exponential growth curve that starts at (0, 5) and increases rapidly as x moves to the right, never crossing or touching the x-axis.
The graph will have a smooth curve that rises steeply as x increases. The rate of growth will be determined by the base, in this case, 2. The larger the base, the steeper the curve. The function will approach but never reach the x-axis as x approaches negative infinity.
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Using the following data, calculate the mean absolute deviation: 7 2 8 5 9 9 5 6 8 1 What is the mean absolute deviation for these data? (4 points)
Answer:
The mean absolute deviation is 2. Hope this helps
Step-by-step explanation:
7+2+8+9+9+5+6+8+1=5.5
7-5.5=1.5
5.5-2=3.5
8-5.5=2.5
9-5.5=3.5
9-5.5=3.5
5.5-5=0.5
6-5.5=1.5
8-5.5 2.5
5.5-1=4.5
1.5+3.5+2.5+3.5+3.5+0.5+1.5+2.5+4.5=2
Answer is 2.
I hope this can help!
Have a nice day :)
~Amy
Solve the system of equations using the substitution method.
S 4x + 5y=7
ly=3x +9
Enter your answers in the boxes.
2
X=
y=
Answer:
x = -2.
y = 3.
Step-by-step explanation:
If y = 3x + 9
Substitute this value for y in the first equation.
4x + 5(3x + 9) = 7
4x + 15x + 45 = 7
19x = 7 - 45
19x = -38
x = -38/19
x = -2.
with this value of x, substitute -2 in the second equation
y = 3(-2) + 9
y = -6+9
y = 3.
check if your values are all correct
4(-2) + 5(3) = 7
-8 + 15 = 15 - 8 = 7
Correct!
80 ounces/2.5 servings
Answer:
No 80 ounces isnt 2.5 servings
Step-by-step explanation:
Unit rate means: how many of one thing you have got for 1 of something else. So you end up with something like.
count of some thing
1 of something else
→
unit rate
So for
80
o
z
2.5
servings
The unit rate is weight of 1 serving
Using the principle of ratios:
Change the 2.5 servings into 1 serving by dividing by 2.5.
For multiply and divide; what you do to the bottom you do to the top.
80
o
z
2.5
servings
≡
80
÷
2.5
2.5
÷
2.5
=
32
1
↑
Note that the sign
≡
means 'equivalent to'
So unit rate is 32 oz
Mr Andrews is trying to lose weight. he starts the year weighing 254 lb. if he plans to burn enough calories to lose 4 lb per week, then how many weeks will pass before Mr Andrews weighs 228 lb? Please include the Variable, Equation, and the Solution.
Let x represent the number of weeks that will pass before Mr Andrews weighs 228 lb.
His weight at the beginning of the year was 254lb
Since he plans to lose 4lb per week, it means that the amount of calories that he will lose in 4 years is 4 * x = 4x lb
For the weight to reduce to 228 lb, it means that
228 + 4x = 254
4x = 254 - 228
4x = 26
x = 26/4
x = 6.5
Therefore, it will take six and half months before Mr
Kareem's rectangular flower bed measures 3ft long and 2ft wide. He wants to cover the flower bed in mulch. He knows the area each bag of mulch covers, but only in square centimeters
Hey buddy I am here to help!
Area of flower bed = 3 x 2 = 6ft
1 ft = 30.48cm
6 x 30.48 = 182.88cm2
Determine if the given functions are inverse functions.
g(x) = 4 - 3/2x
f(x) = 1/2x + 3/2
Answer: ( f + g ) ( 2 ). Solution. Step 1. Find ( f + g ) ( x ). Since ( f + g ) ( x ) = f ( x ) + g ( x ) then;. ( f + g ) ( x ) = ( 2x + 1 ) + (x. 2. + 2x – 1 ). = 2x + 1 + x. 2. + 2x – 1. = x. 2. + 4x. Step 2. Find ( f + g ) ( 2 ). To find the solution for ( f + g ) ( 2 ) ... ( f – g ) ( 2 ) = 3 (2) – 6.
Express 5√27 in the form n√3, where n is a positive integer.
Answer:
n = 15Step-by-step explanation:
See the steps below:
\(5\sqrt{27} =\)\(5\sqrt{3^2*3} =\)\(5*3\sqrt{3} =\)\(15\sqrt{3}\)The value of n is 15.
Find the area of the kite with the given information.
Answer:
Area of the given kite = 84 square inches.
Step-by-step explanation:
Properties of the diagonals of a kite,
1). Diagonals are perpendicular to each other.
2). Longer diagonal bisects the smaller one.
Therefore, Length of smaller diagonal BD = 2×6 = 12"
In right ΔAEB,
m∠ABE = m∠EAB = 45°
Therefore, in isosceles triangle AEB,
AE = BE = 6"
Now the length of longer diagonal AC = AE + EC
AC = 6" + 8"
= 14"
Area of the given kite ABCD = \(\frac{1}{2}(d_1)(d_2)\)
= \(\frac{1}{2}(AC)(BD)\)
= \(\frac{1}{2}(14)(12)\)
= 84 square inches
How to turn a fraction to a real number
Answer:
Step 1: Find a number you can multiply by the bottom of the fraction to make it 10, or 100, or 1000, or any 1 followed by 0s. Step 2: Multiply both top and bottom by that number.
Step-by-step explanation:
Suppose A and B are two events. Write expressions involving unions, intersections, and complements that describe the following
a) Both events occur
b) At least one event occurs
c) Neither event occurs
d) Exactly one event occur
a) Both events occur: A ∩ B
b) At least one event occurs: A ∪ B
c) Neither event occurs: A' ∩ B'
d) Exactly one event occurs: (A ∩ B') ∪ (A' ∩ B)
In Event A and B, the intersection A ∩ B tells us the outcome where both events occur. The Union of A and B tells us the outcome where at least one event occurs. The intersection of the complements of A and B (A' ∩ B') tells us the outcome where neither event occurs.
Finally, the union of the intersection of A and the complement of B and the intersection of the complement of A and B ( (A ∩ B') ∪ (A' ∩ B) ) tells us the outcome where exactly one event occurs.
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Help please, I attached a screenshot
\( \frac{(7 {x}^{2} {y}^{4} ) ^{2} }{49 {x}^{6} {y}^{5} } \\ = \frac{ {7}^{2} {x}^{2 \times 2} {y}^{4 \times 2} }{49 {x}^{6} {y}^{5} } \\ = \frac{49{x}^{4} {y}^{8} } {49 {x}^{6} {y}^{5}} \\ = {x}^{4 - 6} {y}^{8 - 5} \\ = {x}^{ - 2} {y}^{3} \\ = \frac{y ^{3} }{ {x}^{2} } \)
Answer:
\( \frac{y ^{3} }{ {x}^{2} } \)
Hope you could get an idea from here.
Doubt clarification - use comment section.
A local congressman must decide whether or not to vote for a bill to reduce the speed limit.
Supporters of the bill claim that the gas mileage improves at lower speeds! The congressman was given the data about the Toyota Camry gas usage - presented in the table below. (Picture Attached.)
Note: MPG stands for miles per gallon of gas.
IDENTIFY THE INDEPENDENT VARIABLE FIR THIS DATA AND WHY.
The independent variable in this data is the speed of the car. This is because the congressman is trying to determine whether or not the gas mileage improves at lower speeds.
How to explain the variablesThe dependent variable is the gas mileage, because it is the variable that is being measured and that is affected by the independent variable.
The other variables in this data are the weight of the car, the type of engine, and the year of the car. However, these variables are not being changed in this experiment, so they are not considered to be independent variables.
The data shows that the gas mileage of the Toyota Camry improves as the speed of the car decreases. This supports the claim of the supporters of the bill to reduce the speed limit.
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Which of the following mathematical statements are true? Select all that apply. A. 1+2= 2 B. 1.2=2 C. 1+1 =2 D. 2-2= 1 E. 1.1 =1
The only true mathematical statement is the one in option C.
1 +1 = 2
Which of the following mathematical statements are true?Here we have some mathematical statements that are equations.
An equation is only true if both sides of the equation are equal.
So:
A = B
Is true only if A and B have the same value.
From the given options, the only one that is true is the one in option C, which gives:
1 +1 = 2
If wesimplify the left side we willget:
2 = 2
Which is true.
So that is the only true statement.
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in 2000 the population of Africa was 807million and by 2011 it had grown to 1052million.find the exponential growth function that models the data
Study finds that Africa’s population increased by over 1 billion, from 228.7 million in 1950 to 1.341 billion in 2020: 431 million in Eastern Africa; 404 million in Western Africa; 247.5 million in Northern Africa; 193.5 million in Middle Africa; and 64.5 million in Southern Africa.
Exponential Decay APPLICATION The half-life of strontium-90 is 28 years, meaning that after 28 years a given amount of the substance will have decayed to half the original amount. Application In 2000, the population of Africa was 807 million and by 2011 it had grown to 1052 million. Use the exponential growth model in which t is the number of years after 2000, to find the exponential growth function that models the data. The model isApplication continued:- By which year will Africa’s population reach 2,000 million. Use the exponential growth function model: to find how long it will take to reach a population of 2,000 million.
Nigeria is forecast to become the world’s third-biggest country – after India and China – with 405 million people. The main reason for these demographic trends is Africa’s high fertility rate compared with other regions
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Why is 1 neither prime nor a composite number?
Answer:
1 is neither prime nor a composite number because it only has 1 divisor, 1 and 1, and it doesn't have more than 2 integral divisors, like stated, it only has 1. So it falls in neither category.
Answer:
because
Step-by-step explanation:
A prime number has exactly two integral divisors: 1 and itself. Because it contains only one divisor, the number 1 is not a prime. A whole number with more than two integral divisors is called a composite number. So, with the exception of 0 and 1, all whole integers are either prime or composite.
Can someone help please fill out questions? Will give brainliest if filled out correctly. thanks!
Find the area of the trapezoid 10ft, 7.5ft, and 13.5ft
Four pounds of a gas occupy 10 ft3? What would be its density and specific gravity?
Step-by-step explanation:
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Density = mass / volume
Density = 4/10
Density = 0.4 lb/ft^3
Specific gravity = density of gas / density of air
Specific gravity = 0.4 / 0.08
Specific gravity = 5
i dont know how to do this, help
Answer:
Gerald should expect the spinner to land on 3, 126 times.
Step-by-step explanation:
Because we don't know what's actually going to happen, we can determine the theoretical probability by multiplying 1/5 by 630 to get 126.
Answer:
126
Step-by-step explanation:
Given that all of the spaces are equally sized, each space has an equal chance of being landed on by the spinner. As there are 5 spaces, the probability of landing on any one space is 1/5. This means that one fifth of the number of spins are expected to land on 3.
630 × 1/5 = 126
If a teacher's guide to a popular SAT workbook is to be printed using a special type of paper, the guide must have at most 400 pages. If the publishing company charges 1 cent per page printed, what is the largest price, in dollars, that can be charged to print 20 copies of the workbook using the special paper?
Answer:
$80
Step-by-step explanation:
To find the largest price, assume that all 20 copies of the workbook will have 400 pages.
Since the company charges 1 cent per page, this means each workbook will cost 400 cents. This is equivalent to 4 dollars.
Find the total cost by multiplying this by 20:
20(4)
= 80
So, the largest price to print 20 copies is $80
Pleas I need help ASAP
NOTE: sorry if im wrong
ANSWER: C.
Answer:
a)
c)
d)
Step-by-step explanation:
a) true : from inspection of the graph, when h=0, g=50, so g(0)=50
b) false : we are told that h is hours after 8:00am. Therefore, when h=12, this would be 8:00pm
c) true : from inspection of the graph, the maximum temperature occurs when h=7. We are told that h is hours after 8:00am, so when h=7 this would be 15:00 = 3.00pm
d) true : from inspection of the graph, we can see that when h=11, g≈62 and when h=8, g≈74. Therefore g(11) < g(8)
e) false : at 8.00am, h=0 and g=50. At 1.00pm, h=5 and g≈71. 71-50=21. 21≠10.
you walk 1/5 miles to a music store. Then you walk another 2/3 miles to shoe store. How many miles have you walked
Answer:
1 whole mile
Step-by-step explanation:
the LCD is 15. 5x3=15. what we do to the denominator we do to the top so 1x3=3 now we have 3/15.
now do that with the other fraction
3x5=15
2x5=12
12/15+3/15= 15/15= 1 whole