Yolanda got a prepaid debit card with $15 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the ribbon was
12 cents per yard. If after that purchase there was $9.48 left on the card, how many yards of ribbon did Yolanda buy?
Answer: 0.49 yards
Step-by-step explanation: First, you do $15-$9.48 to find out how much she spent on the ribbon, which is $5.52. Then, you divide $5.52 by 12 (cents) to figure out how many yards Yolanda could buy with 5.52. 5.52/12=0.49 yards
How many gallons of a 42% salt solution do we need to mix with 98 gallons of a 20% salt solution so that the resulting mixture is a 28% salt solution ?
Answer:
56
Step-by-step explanation:
98 gallons of a 20 percent salt solution results in 20/100 * 98 = 19.6 gallons of salt.
Let's say we need x gallons of the 42% salt solution.
To make sure that the resulting mixture has 28% salt, we need to have the total salt divided by the total amount of gallons.
We have 98 total gallons in the first solution, and x total gallons in the second solution. We have 19.6 gallons of salt in the first solution and 42% of x gallons in the second solution:
\(19.6+\frac{42}{100}(x)=\frac{28}{100}(98+x)\)
Expanding, we have
\(19.6+\frac{42}{100}x=27.44+\frac{28}{100}x\)
Subtracting 19.6 and subtracting 28/100x from both sides equals
\(\frac{14}{100}x=7.84\)
Multiplying both sides by 100:
\(14x=784\)
Dividing both sides by 14:
\(x=56\)
Change 0.12 to a ratio.
Answer:
3:25
Step-by-step explanation:
The photo shows how it's solved.
Answer: 3:25
Step-by-step explanation:
Step 1) Convert the decimal number to a fraction by making 0.12 the numerator and 1 the denominator
0.12 = 0.12/1
Step 2) Multiply the numerator and denominator by 100 to eliminate the decimal point.
0.12 x 100
------------ = 12/100
1 x 100
Step 3) Simplify the fraction in the previous step by dividing the numerator and the denominator by the greatest common factor (GCF) of 12 and 100. (The GCF of 12 and 100 is 4.)
12 ÷ 4
--------- = 3/25
100 ÷ 4
Step 4) Convert the fraction in the previous step to a ratio by replacing the divider line with a colon like this:
3
25 = 3:25
Which angles measure 130?
Please help will mark Brainly
Sharonda uses a blend of dark chocolate and milk chocolate to make the ice cream topping at her restaurant. She needs to buy 120\,\text{kg}120kg120, start text, k, g, end text of chocolate in total for her next order, and her recipe calls for twice the amount of dark chocolate as milk chocolate.
Let ddd be the number of kilograms of dark chocolate she buys and mmm be the number of kilograms of milk chocolate she buys.
Which system of equations represents this situation?
The system of equations that represent this situation is given as follows:
d + m = 120.7d = 2m.How to model the system of equations?The variables for the system of equations are given as follows:
Variable d: number of kilograms of dark chocolate.Variable m: number of kilograms of milk chocolate.The total weight is of 120 kg, hence the first equation is given as follows:
d + m = 120.
Her recipe calls for twice the amount of dark chocolate as milk chocolate, hence the second equation is given as follows:
d = 2m.
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HURRY Find the domain and range ( 2,3), ( -2, 4), ( 4, 8) , ( -2, 5)
Answer:
See below :)
Step-by-step explanation:
Given ordered pairs :
( 2 , 3 ) , ( - 2 , 4 ) , ( 4 , 8 ) , ( - 2 , 5 )
Domain is the set of all x -coordinates in the set of ordered pairs.
( 2 , 3 ) , ( -2 , 4 ) , ( 4 , 8 ) , ( -2 , 5 )
List them :
Domain = { - 2 , 2 , 4 )
Range is the set of all y - coordinates in the set of ordered pairs.
( 2 , 3 ) , ( - 2 , 4 ) , ( 4 , 8 ) , ( - 2 , 5 )
List them :
Range = { 3 , 4 , 5 , 8 }
Hope I helped !
Best regards!!
which point from the equation would you use? y-7=3(x+9)
Another point on the line is (-9, 7). Ultimately, the choice of which point to use depends on the context or specific requirements of the problem you are solving.
To determine which point to use from the equation y - 7 = 3(x + 9), we need more information.
The equation provided represents a linear equation in the form y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope.
Without additional context or specific instructions, we can choose any point that satisfies the equation to use as a reference.
For example, if we let x = 0, we can solve the equation for y:
y - 7 = 3(0 + 9)
y - 7 = 3(9)
y - 7 = 27
y = 27 + 7
y = 34
So, one point on the line is (0, 34).
Alternatively, if we let x = -9, we can solve the equation for y:
y - 7 = 3(-9 + 9)
y - 7 = 3(0)
y - 7 = 0
y = 7
So, another point on the line is (-9, 7).
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To graph the inequality x > -3, draw an open circle on -3 and shade to the left.
TrueFalse
which fraction is halfway between 1/2 1 1/4
Answer:
7/8
its between 3/4 and 1
Step-by-step explanation:
think quarters
.50,.75, 1, 1.25
(1/2, 3/4, 1, 1 1/4)
good luck!!
A total of 27 students are in your class. There are nine more males than females.
How many females are in your class?
Find the VALUE of x in the following equation
5x+25=35
Anwser:
2 X=2
Step-by-step explanation:
Because I am right!
The components of vectors A and B are given below: A (5.1,0) B (-2.6, -4.3) What is the magnitude of vector sum (A+B)?
The magnitude of the vector sum (A + B) is approximately 4.974.
To find the magnitude of the vector sum (A + B), we need to add the corresponding components of vectors A and B and then calculate the magnitude of the resulting vector.
Given:
Vector A: (5.1, 0)
Vector B: (-2.6, -4.3)
To find the vector sum (A + B), we add the corresponding components:
(A + B) = (5.1 + (-2.6), 0 + (-4.3))
= (2.5, -4.3)
Now, let's calculate the magnitude of the vector (2.5, -4.3):
Magnitude = sqrt((2.5)^2 + (-4.3)^2)
= sqrt(6.25 + 18.49)
= sqrt(24.74)
≈ 4.974
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lect the correct answer.
Under which condition is the sample proportion, , a point estimate of the population proportion?
A.
The sample proportion is never a point estimate of the population proportion.
B.
The sample represents a proportion of the population.
C.
The sample proportion is unbiased.
D.
The sample size, n, is small enough.
Reset Next
The correct answer is B. The sample represents a proportion of the population.
What is the sample population ?
A point estimate is a single value used to estimate a population's unknown parameter. The sample proportion (denoted by p), in the context of determining the population proportion, is a widely used point estimate. The sample proportion is determined by dividing the sample's success rate by the sample size.
The sample must be representative of the population for it to be a reliable point estimate of the population proportion. To accurately reflect the proportions of various groups or categories present in the population, the sample should be chosen at random.
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If a 90ml drink has 2 parts milk and 1 part chocolate topping, how many mls of milk and chocolate topping is that?
Answer:
The milk would be 60 ml and the topping would be 30 ml
Step-by-step explanation:
If there are 2 parts milk and 1 part toppings that would be a total of 3 (2+1 =3) So we are looking for 2/3 of 90 and 1/3 of 90.
g in an examination, a candidate has to score a minimum of 24 marks in order to clear the exam. the maximum that he can score is 40 marks. identify the valid equivalence values if the student clears the exam.
An examination, a candidate has to score a minimum of 24 marks in order to clear the exam. the maximum that he can score is 40 marks. The valid equivalence values of the student clears the exam is 29, 30, 31.
An examination, a candidate has to score a minimum of 24 marks in order to clear the exam. the maximum that he can score is 40 marks.
The class will be as follows:
Class i: values<24 => invalid class
Class ii: 24 to 40 => valid class
Class iii: values> 40 => invalid class
We need to identify valid equivalence values. Valid equivalence values will be there in a valid equivalence class. All the values should be in class ii.
Therefore, the answer is 29, 30, 31.
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The figure is made up of a square and a rectangle. Find the area of the shaded region.
first we do
square is length 6 so base =6
10-6=4
the rectangle is 2 by 4
base=4
square is 6 by 6
rectangle is 4 by 2
split the triangles up
area of triangle=1/2base times height
rectangle triangle base=4
height=2, area=1/2 times 2 times 4=4
square triangle
flip 90 degrees clockwise so we have base=2
height=6
area=1/2 times 2 times 6=6
add
4+6=10
total area=10m^2
can 7.628 be the probability of an outcome in a sample space yes or no
A probability is a ratio between the number of favorable events and the total number of events.
\(\text{Probability}=\frac{\text{favorable events}}{total\text{ number of events}}\)The total number of events that can happen is called the size of the sample space.
The number of favorable events cannot be greater than the total number of events, this is why, the probability will always be a number between 0 and 1.
Since 7.628 is not a number between 0 and 1, it cannot be a probability.
Answer: No
Equivalent expression of 10+(x divided 16)
Answer:
x/16 + 10
Step-by-step explanation:
10+(x÷16)
To add or subtract expressions, expand them to make their denominators the same. Multiply 10 times 16/16.
10 x 16 / 16 + x/16
Since 10 x 16 / 16 and x/16 have the same denominator, add them by adding their numerators.
10 x 16 + x / 16
Do the multiplications in 10×16+x.
160 + x / 16 = x/16 + 10
sara collects 56 leaves for her science project. she collects the same number of each of 7 different types of leaves
Answer: 8 leaves per type of leaf
Step-by-step explanation:
56/7 = 8 leaves per type of leaf.
Answer:
8
Step-by-step explanation:
56/7 = 8
A plane slices a double-napped cone parallel to the base of the cone. Which conic section is formed?
Answer:
Parabola
Step-by-step explanation:
A conic section is a curve obtained by the intersection of a plane with the surface of a (double-napped) cone, When the plane is parallel to the edge of one cone.
Thus, The intersection is a parabola.
Answer: degenerate hyperbola
Step-by-step explanation:
degenerate hyperbola because its the thickest of the plane so it can be formed.
Henry has $432 in his checking account. He has four times this amount in his savings account. How much money is in both of Henry's accounts?
The amount of money in both of Henry's account is $2160
What are algebraic expressions?Algebraic expressions are those mathematical expressions that are made up of coefficients, variables, constants, factors and terms.
They are also expressions that are identified with arithmetic operations, such as;
ParenthesesBracketAdditionMultiplicationDivisionSubtraction, etcFrom the information given, we have that;
Henry has $432 in his checking account
Let the checking account be y
Let the account for savings be x
Then, in his savings account, he has;
x = 4(y)
substitute the values
x = 4(432)
x = $1728
Then, the total = $432 + $1728 = $2160
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What is angle
Enter your answer in the box
Answer:
CAB is 37 degrees
Step-by-step explanation:
90 + 53 = 143
180 - 143 = 37
An employee at the metropolitan museum of art surveyed a random sample of 150 visitors to the museum. Of those visitors, 45 people bought food at the cafeteria.Based on those results, how many people out of 1750 visitors to the museum would be expected to buy food for the cafeteria? NO LINKS!
Answer:
525 will the answer
Step-by-step explanation:
A container is leaking 1 liter every 3/4 hour.How many liters will it leak in 3 3/4 hours
PLEASE HELP!!!!!!!!!!!
What are the dimensions of the product matrix of two of these matrices?
Drag the matrix dimensions to each box to match the product.
Answer:
BD= 2 x 1
CA= 1 x 2
BC= 2 x 3
Step-by-step explanation:
The dimensions of the matrices BD, CA, and BC are,
2×2, 2×1, and 2×3 respectively.
What is matrix multiplication and the dimension of a matrix?Suppose we have two matrices \(A_{(m)\times(n)}\) and \(B_{(p)\times(q)}\) their multiplication is possible only when the no. of columns in the first matrix is equal to the no. of rows in the second matrix.
which is n = p and the resultant matrix will AB will have dimensions \(AB_{(m)\times(q)}\).
Given B is a 2 cross 2 matrix and D is a 2 cross 1 matrix, so the no. of columns in B is 2, and the no. of rows in matrix D is 2 so they are eligible for matrix multiplication and their resultant BD will have a dimension 2 cross 2.
Similarly, the CA matrix will have a dimension of 2 cross 1.
And, the BC matrix will have dimensions 2 cross 3.
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A respiratory therapist predicts that the proportion of U.S. college students who smoke hookah is greater than 30%. To test this prediction, she surveys 300 random U.S. college, and it is determined that 80 of them smoke hookah. The following is the setup for this hypothesis test: H0:p=0.30 H0:p>0.30 The p-value for this hypothesis test is 0.10. At the 5% significance level, should she reject or fail to reject the null hypothesis? Select the correct answer below: Reject the null hypothesis because 0.30>0.05. Fail to reject the null hypothesis because 0.30>0.05. Reject the null hypothesis because the p-value =0.10 is less than the significance level α=0.05. Fail to reject the null hypothesis because the p-value =0.10 is more than the significance level α=0.05.
Answer:
Fail to reject the null hypothesis because the p-value =0.10 is more than the significance level α=0.05.
Step-by-step explanation:
The significant level for this case study is 5% - 0.05. If the results gotten is less than the significance level, we reject the null hypothesis, but if greater, we fail to reject the null hypothesis.
In this case study, the p-value is 0.10 which is a lot higher than 0.05, thus we will fail to reject the null hypothesis because the p-value =0.10 is more than the significance level α=0.05.
the graph shows the change in temperature in monterey, CA over several hours. is the relationship between the number of hours and temperature linear or non-linear? Explain
Step-by-step explanation:
Numerical climate models use quantitative methods to simulate the interactions of the important drivers of climate, including atmosphere, oceans, land surface and ice. They are used for a variety of purposes from study of the dynamics of the climate system to projections of future climate.
Quadrilateral JKLM is similar to quadrilateral NOPR. Find the measure of side NO.Roundyour answer to the nearest tenth if necessary. Figures are not drawn to scale.
Step 1: Problem
Similar quadrilateral: Find the measure of side NO
Step 2: Concept
Apply the ratio of corresponding sides theorem since the two quadrilaterals are similar.
\(\frac{LK}{JK}\text{ = }\frac{PO}{NO}\)Step 3: Method
\(\begin{gathered} \frac{9}{14}\text{ = }\frac{40}{NO} \\ \text{Cross multiply} \\ 9NO\text{ = 14 x 40} \\ 9NO\text{ = 560} \\ NO\text{ = }\frac{560}{9} \\ NO\text{ = 62.22} \\ NO\text{ = 62.2} \end{gathered}\)Step 4: Final answer
NO = 62.2
A teacher put all her students quiz scores up on the dot plot below.