Cassie has a total of 110 coins in her piggy bank. All the coins are quarters and dimes. The coins have a total value of $20.30. How many quarters and how many dimes are in the piggy bank?
Answer:
48 dimes and 62 quarters
Step-by-step explanation:
I need help within the next 15 mins
Answer:30
Step-by-step explanation: LxW (length x Width) 3x10=30.... Hope this helps... if you break it down then you can write down (10) on your page but the answer is 30
Write the equation of the line that passes through the points (-3, 4) and (-3,3).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.
Answer:
x=-3
Step-by-step explanation:
y-4=(3-4)/(-3-(-3))(x+3)
y-4=1/(-3+3) (x+3)
y-4=1/0(x+3)
or x+3=0
x=-3
A given field mouse population satisfies the differential equation dp/dt=.4p-450 where p is the number of mice and t is the time in months.
(a) Find the time at which the population becomes extinct if p(0)=1075
Round your answer to two decimal places in months.
(b) Find the initial population Po if the population is to become extinct in 1 year.
Round your answer to the nearest integer.
Po= mice
Answer:
a) 7.78 months
b) 1116
Step-by-step explanation:
Given -
[tex]\frac{dP}{dt} = 0.4p-450[/tex]
Integrating the above equation with respect to time, we get -
[tex]\int\ \frac{dP}{0.4p-450} = \int\ dt\\[/tex]
let us define new variable x
[tex]x = 0.4p - 450 \\dx = 0.4 dy[/tex]
substituting these values in above integral equation, we get -
[tex]\frac{1}{0.4} \int\ \frac{dx}{x} = \int\ dt\\ln x = 0.4 t + C\\x = ce^{0.4t}[/tex]
[tex]P (t) = \frac{C}{0.4} e^{0.4t} +1125\\[/tex]
at t = 0, P (0) = 1075, using this condition, we get -
[tex]\frac{c}{0.4} = -50\\P(t) = 50 e^{0.4t} +1125 \\t = 7.78\\P(0) = 1125 - \frac{1125}{e^{4.8}} = 1116[/tex]
In preparation for the upcoming school year, a teacher looks at raw test scores on the statewide standardized test for the students in his class. Instead of looking at the scores relative to the norms in the state, the teacher wants to understand the scores relative to the students who will be in the class. To do so, he decides to convert the test scores into z scores relative to the mean and standard deviation of the students in the class. The mean test score in his upcoming class is 49, and the standard deviation is 20.7.
The following are the scores for some (not all) of her students.
Student Test Score Z- score
A 205 0.08
B 199 ______
C 266 1.68
D 222 ______
E 188 -0.37
F 172 ______
G 184 -0.47
H 215 ______
The teacher wants to identify those students who may need extra challenge or extra help. As a first cut, she decides to look at students who have z-scores above z = 2.00 or below z = -2.00. Identify the test score corresponding to each of the following z-scores.
For z = 2.00, test score = ____________
For z - -2.00, test score = ____________
Answer:
The answer is below
Step-by-step explanation:
In preparation for the upcoming school year, a teacher looks at raw test scores on the statewide standardized test for the students in her class. Instead of looking at the scores relative to the norms in the state, the teacher wants to understand the scores relative to the students who will be in the class. To do so, she decides to convert the test scores into z-scores relative to the mean and standard deviation of the students in the class. The mean test score in her upcoming class is 202, and the standard deviation is 38.2. The following are the scores for some (not all) of her students. Complete the table using the dropdown menus. The teacher wants to identify those students who may need extra challenge or extra help. As a first cut, she decides to look at students who have z-scores above z = 2.00 or below z = -2.00. Identify the test score corresponding to each of the following z-scores. Round to the nearest whole number. For z = 2.00, test score = .For z - -2.00, test score = .
Solution:
The z score is a used in statistics to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:
[tex]z=\frac{x-\mu}{\sigma}\\\\where\ x=raw\ score, \mu=mean,\sigma=standard\ deviation\\\\For\ a\ sample\ size(n):\\\\z=\frac{x-\mu}{\sigma/\sqrt{n} }[/tex]
Given that μ = 202, σ = 38.2
i) for student B, x = 199. Hence:
[tex]z=\frac{x-\mu}{\sigma} =\frac{199-202}{38.2}=-0.08\\[/tex]
ii) for student D, x = 222. Hence:
[tex]z=\frac{x-\mu}{\sigma} =\frac{222-202}{38.2}=-0.52\\[/tex]
iii) for student F, x = 172. Hence:
[tex]z=\frac{x-\mu}{\sigma} =\frac{172-202}{38.2}=-0.79\\[/tex]
iv) for student H, x = 215. Hence:
[tex]z=\frac{x-\mu}{\sigma} =\frac{215-202}{38.2}=0.34\\[/tex]
For z = 2.00, the test score x is:
[tex]z=\frac{x-\mu}{\sigma}\\\\ 2=\frac{x-202}{38.2}\\\\76.4=x-202\\\\x=278.4[/tex]
For z = -2.00, the test score x is:
[tex]z=\frac{x-\mu}{\sigma}\\\\ -2=\frac{x-202}{38.2}\\\\-76.4=x-202\\\\x=125.6[/tex]
If x is to 8 as 15 is to 12, then x equals...
Answer:
12/8 = 6/4 = 3/2; 2/3 * 15 = 10
Step-by-step explanation:
Find the product (6x² + 2x)(x²+4x)
Answer:
6x⁴ + 26x³ + 8x²
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsExpand by FOIL (First Outside Inside Last)Exponential Rule [Multiplying]: [tex]\displaystyle b^m \cdot b^n = b^{m + n}[/tex]Step-by-step explanation:
Step 1: Define
(6x² + 2x)(x² + 4x)
Step 2: Expand
FOIL: 6x⁴ + 24x³ + 2x³ + 8x²Combine like terms: 6x⁴ + 26x³ + 8x²In a football league, 4 coaches are needed for every 38 players. If 84 players sign up for softball, how many coaches are needed?
Polygon ABCD had the following vertices: A(-3,3), B(5,5), C(5,-4), and D(-3,-4)
ASAP PlEaSE
Answer:
I couldn't even understand the question
Step-by-step explanation:
Does anyone know the answer and could you explain how you got your answer? THANK YOUU
Answer:
This would be a 60% increase
Step-by-step explanation:
40-25 and divided by 25 times 100
you should get 15/25 multiply it by 100=60%
Can some write the correct inequality graph below
Answer:
x≥-6
Step-by-step explanation:
NEED HELP ASAP!!! for geometry class
Answer:
B) AAS
Step-by-step explanation:
B) AAS
The area of a rectangle is 48 m^2 the length is (x+2) and width is (x). What is the value of x?
Answer:
Please find attached pdf
Step-by-step explanation:
The scatter plot shows a hiker's elevation above sea level during a hike from the base to the top of a mountain. The equation of a trend line for the hiker's elevation is y=8.42x+800, where x represents the number of minutes and y represents the hiker's elevation in feet. Use the equation of the trend line to estimate the hiker's elevation after 145 minutes.
Answer:
685ik
Step-by-step explanation:
uuuuuuyyyyyyyyyyyyyyyyty
plus the wat
5.6t
Determine whether the ratios are equivalent 6 : 10 and 12 : 20 ?
Answer:
Yes, they are equivalent because 12 is divisible by 6 two times and 20 is divisible by ten two times.
A $230 suit is marked down by 30%. Find the sale price.
Answer:
161
Step-by-step explanation:
69 is 30% of 230 so 230-69=161 is the answer.
Find the x and y intercepts of this line:
-5x+4y=-18
Answer:
Step-by-step explanation:
x- intercepts: ( 18/5,0)
y- intercepts: ( 0,-9/2)
What two numbers multiply to get -30 and add to get -7 ?
Answer:
3 and -10 to get 30
4 and -11 to get -7
Step-by-step explanation:
3 * -10 = -30
4 + (-11) = 4 - 11 = -7
Suppose you make hot chocolate. It's too hot to drink, so you put it in the freezer to cool it off. If the original temperature is 190 degrees Fahrenheit and the freezer is 0 degrees Fahrenheit, what will the temperature of the hot chocolate be after 3 minutes? (k = 0.12)
A 132.56 degrees
B 272.33 degrees
C 149.46degrees
D 241.54 degrees
PLEASE HELP! PLEASE ALSO GIVE A GOOD EXPLANATION AND SHOW WORK! 45 points!!
Dalia is painting her room. After painting 1/10 of her room, Dalia has used 1/2 of a can of paint.
Select ALL of the true statements.
1. Painting 1/2 of Dalia's room requires 10 cans of paint.
2. Each can of paint will cover 1/20 of Dalia's room.
3. 3 cans of paint will cover 60% of Dalia's room.
4. Dalia's entire room requires 20 cans of paint.
5. Dalia's entire room requires 5 cans of paint.
Hence statement 3 and 5 are true from the equation given in question.
What is equation?The definition of an equation in algebra is a mathematical statement that proves two mathematical expressions are equal.
Types of Equations:
Linear Equation: More than one variable may be present in a linear equation. An equation is said to be linear if the maximum power of the variable is consistently 1.
Quadratic Equation: This equation is of second order. At least one of the variables in a quadratic equation needs to be raised to exponent 2.
Cubic Equation: A third-order equation is this one. At least one of the variables in cubic equations needs to be raised to exponent 3.
Rational Equation: A fractional equation having a variable in the numerator, denominator, or both is referred to as a rational equation.
Number of cans used 1/10 part of room = 1/2
No. of cans paints used 1 part = 1/2 / 1/10 = 5
∵ 1/2 can paint is used = 1/10
∴ 1 can paint used = (1/10)*2 = 1/5
∴ 5 cans = 100%
3 cans used = (3/5)*100 = 60%
To know more about equation please visit:
brainly.com/question/10413253
#SPJ2
Mhanifa please help I will mark brainliest
Answer:
36°90°Step-by-step explanation:
Question 1
x = 180° - 2*72° = 180° - 144° = 36°Question 2
x + 2(x/2) = 180°2x = 180°x = 90°Is 22,18,12 a right triangle
Answer:
Step-by-step explanation:
12²+18²=144+324=468
22²=484
468<484
12²+18²≠22²
it is not a right angled triangle.
b) Two coins are tossed, find the probability that one head only is obtained.
A club raised 80% of its goal for a charity. The club raised $1076. What was the goal?
Answer:
860.8
Step-by-step explanation:
what is the value of X in the equation 6X+3+4=1/2(9+10X)
Answer:
[tex]6x+3+4=\frac{1}{2}(9+10x)\\6x+7=\frac{9}{2}+5x\\x=-\frac{5}{2}[/tex]
Step-by-step explanation:
sana p mkatulong............
What is the y intercept of the graph of the inequality 2x + 3y > 12?
Answer:
-4 y>-2/3x-4
Step-by-step explanation:
-3y>2x+12 y> -2/3x-4
order the following from least to greatest 5.392, 5.932, 0.593, 0.9
Answer:
0.593, 0.9, 5.392, 5.932
Step-by-step explanation:
hope this helps^-^
What is the slope of the equation y- 5 = -3x?
Answer:
-3/1
Step-by-step explanation:
It's always the x value over the y value, so whatever's in the x
Answer:
-3
Step-by-step explanation:
the equation is y=-3x+5, so m=-3
In the triangle below,
x= [ ? ]°. Round to the nearest tenth. ANSWER ASAP!!!
Answer:
2
Step-by-step explanation:
Answer:
Your answer would be 2
Step-by-step explanation:
I would explain but its too hard
Please help ASAP will give Brainlyest answer :M/5=2