Price of one shirt: $10Price of one sweater: $15Step-by-step explanation:
The price of one sweater - x
The price of one shirt - y
From what the problem states, we can assume:
x + 4y = 55
4x + 5y = 110
Multiply both sides of x +4y = 55 by four. This results in 4x + 16y = 220. We then subtract 16y on both sides, resulting in 4x = 220 - 16y. We then insert this into the other equation, which, as a reminder, is 4x + 5y = 110. We replace 4x with 220 - 16y, which results in 220 - 16y + 5y = 110. Now, we can solve it.
220 - 16y + 5y = 110220 - 11y = 110110 - 11y = 0110 = 11yy = $10Now that we have found out the value of y, we can replace all instances of y in the first equation.
x + 4y = 55x + 40 = 55x = $15
help me please.......................
the answer is (A) according to the cosine rule a^2=b^2+c^2-2(b)(c)cos(A)
Factorise pm- pm + 3qm - 3qn
Answer:
3q(m-n)
Step-by-step explanation:
pm - pm + 3qm - 3qn
= 3qm - 3qn (pm-pm cancelled out such as 2x-2x=0)
= 3q(m-n)
Question 3(Multiple Choice Worth 2 points)
(01.07 LC)
Simplify the given expression below:
(3+4i)+(5-2i)
0-2+6i
02-2i
07+3i
08+2i
james can go 144 miles with 12 gallons of gas in his truck.how far can he go on 17 gallons?
Answer:
425 Miles
Explaination:
Please give the brainliest.
Evaluate (-3 1/3) ^2 ( Need this by tomorrow, but that depends on time :] )
Answer:
[tex]33\frac{1}{3}[/tex]
Step-by-step explanation:
square is just multiplying things twice
(-3 1/3)(-3 1/3)
(-10/3)(-10/3)
100/3
33 1/3
Hopes this helps
Answer: 1
Step-by-step explanation:
(-3 1/3)= (-1/3)+(-1/3)+(-1/3) = -1
(-3 1/3)^2 = (-1)^2 = (-1)(-1) = 1
[tex]x\sqrt{2} +3=-2[/tex]
Value of x for the given expression x√2 + 3 = -2 is equal to (- 5√2)/2.
As given in the question,
Given expression is equal to :
x√2 + 3 = -2
Simplify the given expression x√2 + 3 = -2 to get the value of x we have,
x√2 + 3 = -2
Subtract 3 from both the side of the given expression we get,
x√2 + 3 - 3 = -2 - 3
⇒ x√2 + 0 = -5
Divide by √2 from both the side of the expression,
x√2/√2= -5/√2
⇒x = -5/√2
Multiply and divide by √2 on right-hand side we get
⇒ x = -5√2/ (√2×√2)
⇒ x= -5√2/2
Therefore, value of x for the given expression x√2 + 3 = -2 is equal to
(- 5√2)/2.
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Jessie uses 20 liters of gasoline to travel 200 kilometers, how many liters of gasoline will he use on a trip of 700 kilometers?.
Trip of 700 km required 70 liter gasoline
For go 200 km Distance total gasoline required = 20 liter
For go 1 km Distance total gasoline required = 20÷200
= 0.1 liter
Total trip distance =700 km
Total gasoline required for going 700 km = Total distance×Gasoline required for 1 km
Total gasoline required for going 700 km = 700×0.01
= 70 liters
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70 liters of gasoline will be used on a trip of 700 kilometers.
Given that,
200 kilometer is covered by 20 liters of gasoline.
For go 1 km Distance total gasoline required = 20÷200
= 0.1 liter
Now,
Let x be the liters of gasoline required for a 700-km trip.
⇒ 20/200 = x/700
⇒ (200) (x) = (20) (700)
⇒ 200x = 14,000
⇒ 200x/200 = 14,000/200
or, x = 70
Therefore, the answer is :
70 liters of gasoline will be needed for a 700 kilometer of trip.
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You are solving a measurement problem where the numbers 4.5160 x 10−3, 2.09 x 107, and 5.8 x 103 are multiplied. How many significant digits should the product have?
2
1
5
3
The number of significant digits that the product should have is; 2
How to express numbers in Scientific notations?Scientific notation is defined as a way of expressing a number as a number between 1 and to multiplied by a power of 10. This is usually in the form A * 10ⁿ
Where;
A is any real number between 1 and 10
n is any integer
When multiplying scientific notations, the final product must be to the scientific notation that has the least decimal place.
Since the least decimal place in the given measurement is 2, hence the significant digits the product should have is 2
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19) If each side of
an equilateral
triangle is 4x+6 long,
what is the
perimeter of the
triangle in terms of
x?
you can refer to the explanation I wrote for you on paper since it is much easier... look at the pic uploaded
6. Erin leaves home at 11am. She cycles at a speed of 16 miles per hour for 90 minutes. She
stops for half an hour. Erin then cycles home and arrives at 3pm.
(a) Draw a distance-time graph to show Erin's journey.
(b) What is Erin's average speed on the return part of her cycle?
The average speed of Erin on the return part is 12 miles/hour
Given, Erin leaves home at 11am. She cycles at a speed of 16 miles per hour for 90 minutes. She stops for half an hour. Erin then cycles home and arrives at 3pm.
We have to find the average speed on the return part of her cycle.
Now, using distance formula, we get
Distance = Speed × Time
Distance = 16 miles per hour × 90 × 1/60 hours
Distance = 24 miles
As, average speed = Total distance/Total time
Average speed = 24 miles / 2 hours
Average speed = 12 miles per hour
Hence, the average speed of Erin on the return part is 12 miles/hour
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the unite rate of the ratio 12/5/3/10 is 8/1. Yes or no
Yes, the unit rate of the ratio 12/5/3/10 is 8/1 as per given in the problem.
What does unit rate mean?A unit rate is the price for one unit of a given quantity. With one as the denominator, we express this as a ratio. You would run 7 yards on average every second if you ran 70 yards in 10 seconds, for instance. The 70 yards in 10 seconds and the 7 yards in 1 second ratios are both rates, however the 7 yards in 1 second ratio is a unit rate.
Here, given that the unit rate for the ratio given is 8/1
We have to check whether the ratio is correct or not
So, (12/5)/(3/10)
=(12/5)×(10/3)
=8/1
Therefore, the ratio 8/1 is correct as per given in the sum
So, the answer is yes
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the 3 conditions for sampling distributions must be met in order to calculate p-hat. group of answer choices true false
The correct answer is False because, If the sample size is large enough (n greater than or equal to 30) the sampling distribution is approximately normal regardless of the shape of the population.
The sample fraction, often called the "p-hat", is the ratio of the number of sample successes to the size of the sample. The standard deviation of (p) decreases as the sample size n increases. This is because n is included in the denominator of the standard deviation formula. That is, (p has) has fewer variables for larger samples. The P-hat (must be a lowercase p with a caret (^) circumflex) indicates the percentage of the sample (this is the x-bar, the average of the samples).
A p-hat (proportion) sampling distribution is a collection of equal-sized repeated sample proportions drawn from the same population to represent it. According to the central limit theorem, the sampling distribution of p-hat is approximately normally distributed for large sample sizes.
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Figure I
A
12
11
10
9
8
5432
1
-12-11-10-9-876-5-4-3-2-1
--2
3
#8543456
-6
L
-8
9
-10
-11
-12
followed by a
Figure J
1 2 3 4 5 6 7 8 9 10 11 12
Answer:
need more clarification and need better picture
Step-by-step explanation:
plsssss
The screening process for detecting a rare disease is not perfect. Researchers have developed a blood test that is considered fairly reliable. It gives a positive reaction in 97% of the people who have a disease. However, it erroneously gives a positive reaction for 5% of the people who do not have the disease. Consider the null hypothesis "the individual does not have the disease". What is the probability of type i error if the new blood test is used?.
The probability of type I error if the new blood test is used is 0.05
Given data;
It is not always possible to identify rare diseases by screening. A blood test that has been created by researchers is thought to be reasonably dependable. In 97% of those who suffer from a sickness, it produces a favorable response. However, 5% of those tested who do not have the condition received an incorrectly positive response. Take into account the null hypothesis that "the person does not have the disease."
The probability that the blood test report will be positive if someone has the disease = 0.97 The probability that the blood test report will be positive if someone does not have the disease is = 0.05
The null hypothesis is: "The individual does not have the disease."
The type I error occurs when we reject the null hypothesis, but it was true in reality.
Therefore, the probability of type I error = The probability that the blood test report will be positive if someone does not have the disease.
⇒ 0.05
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A poster is to have an area of 200 square inches with 1 inch margins on the left and right sides, and 2 inch margins on the top and bottom. Varying the dimensions of the poster changes the area of the region inside the margins. What is the maximum area inside the margins?.
Using the Optimization problem solving strategy, the maximum area inside the margins is 108 inch².
Firstly , we can develope a function of two variables. let the length of poster be x inch and width be y inch.
total Area of poster (A ) = x × y = 200 inch² ---(1)
we have provided that bottom and top margin is 2 inch each and right -left margin is 1 inch each.
So, length of poster inside margin (l) = (x-4 ) inch
width of poster inside the margin (w) = (y-2) inch
Area inside the margins = l × w sq. inch
= (x-4)(y-2) sq.inch ---(2)
from (1) we can find out the value of one variable and put in equation (2) ,
from( 1), y = 200/x
Area inside margins= (x-4)(200/x - 2) = 2(x -4)( 100/x - 1) = 2( 100 - x - 400/x + 4)
Area inside margins = 2 ( -x - 400/x + 104)
To minimize the area inside the margins we take first order derivative of it
dA/ dx = d/dx[ 2( -x - 400/x + 104) ]
= 2 d/dx ( -x - 400/x +104) = 2 ( -1 + 400/x² )
critical points occurs when dA /dx = 0
2 ( -1 + 400/x² ) = 0 => 800/x² = 2
=> x² = 400 => x = 20
putting value of x in equation (1) we get ,
x×y = 200 = 20× y => y = 10
so, length of poster is 20 inch and width is 10 inch.
Now, length of poster inside margin (l) = 16 inch
width of poster inside margin (w) = 8 inch
maximum area inside margin is 108 inch².
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Once an antibiotic is given, number of bacteria decreases at a rate of 15%/day. There were about 15,000 bacteria prior to the treatment. The graph models the number of bacteria after x days of treatment. What are the key features of the exponential function modeled in terms of this situation and how can they be interpreted? Select each correct answer. 30 The line y = 0 is an asymptote of the graph. The x-intercept is 30. The line x = 0 is an asymptote of the graph. The asymptote indicates that there will never be more than 15,000 bacteria. The y-intercept is 15,000. The y-intercept represents the number of bacteria when treatment began. The asymptote indicates that as time increases, the number of bacteria approaches 0.
Answer:
The line y = 0 is an asymptote of the graph.
The y-intercept is 15,000.
The y-intercept represents the number of bacteria when treatment began.
The asymptote indicates that as time increases, the number of bacteria approaches 0.
Step-by-step explanation:
Took the test
Four siblings have a dog walking business. The table shows the hours worked by each sibling. Each sibling earns $25.50 per hour and the total number of hours worked is represented by 10h+15 , where h represents the number of hours Michael worked.
The total amount of money the siblings earned is equal to $1504.5.
How to determine the total amount the siblings earned?From the information provided, the total number of hours worked is represented by this mathematical expression:
10h + 15
where:
h represents the number of hours Michael worked.
Next, we would determine the number of hours Michael worked by summing up all of the total number of hours worked by each of the four siblings and equating it to the total number of hours worked:
2.5(h + 3) + 4(h - 2) + 31 + h = 10h + 15
7.5h + 26 = 10h + 15
10h - 7.5h = 26 - 15
2.5h = 11
h = 4.4 hours.
For the total number of hours worked by each of the four siblings, we have:
Total hours = 10h + 15
Total hours = 10(4.4) + 15
Total hours = 44 + 15
Total hours = 59 hours.
At a rate of $25.50 per hour, the total amount the siblings earned is given by:
Total earnings = $25.50 × 59
Total earnings = $1504.5.
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Complete Question:
Four siblings have a dog walking business. The table shows the hours worked by each sibling. Each sibling earns $25.50 per hour and the total number of hours worked is represented by 10h + 15 , where h represents the number of hours Michael worked. What was the total amount the siblings earned?
A student used the equation below to create a table.
y = 2.50x
The student used 15 as one of the values for the x. Which ordered pair could be taken from the table?
O a 17.50, 15)
Ob (15, 17.50)
Oc 37.50, 15)
Od (15,37.50)
The resulting ordered pair is (15, 37.50) when the value of x as 15.
Ordered pair
Ordered pair refers a set of numbers that tells us where to find a point on a coordinate grid. In the grid, the first number represents the value on the x-axis and the second number represents the value on the y-axis.
Given,
A student used the equation below to create a table.
y = 2.50x
The student used 15 as one of the values for the x.
Here we need to find the resulting ordered pair.
Through the given question we have identified that the given function is,
y = 2.50x.
Here x represents the number of students.
Now, we have to calculate the y value for 15 number of students,
So, here we have to apply the value x as 15, then we get,
y = 2.50 (15)
Now, we have to perform the multiplication on it,
y = 37.50
Therefore, the resulting ordered pair is (15, 37.50)
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What is 1/3 divided by 4/5?
Answer:
[tex]\frac{5}{12}[/tex]
Step-by-step explanation:
Step 1: Set up the problem
There are two ways to set up this problem.[tex]\frac{1}{3}[/tex] ÷ [tex]\frac{4}{5}[/tex][tex]\frac{\frac{1}{3} }{\frac{4}{5} }[/tex]Step 2: Solve
To solve the first set up you can use the keep, change, flip methodKCF: keep the first term, change from division to multiplication, flip the second term[tex]\frac{1}{3}[/tex] ÷ [tex]\frac{4}{5}[/tex][tex]\frac{1}{3}[/tex] × [tex]\frac{5}{4}[/tex] = [tex]\frac{5}{12}[/tex]To solve the second set up you multiply by the denominator's reciprocal[tex]\frac{\frac{1}{3} }{\frac{4}{5} }[/tex][tex]\frac{1}{3}[/tex] × [tex]\frac{5}{4}[/tex] = [tex]\frac{5}{12}[/tex]One moving company charges $19.85 plus $0.20 per mile to rent a van. The company also rents truck for $24.95 plus $0.17 per mile. At how many miles is the price the same for renting vehicles?
answer:19.8 should be the answer?
Step-by-step explanation:
Hailey is making floral centerpieces for a wedding. Each centerpiece has 17 flowers. She has 430 flowers for the project. She estimates that she can make between 20 and 30 complete centerpieces. Is her estimate reasonable?
Use your knowledge of place value and division to explain the reasonableness of her answer.
Find the perimeter of the polygon with the vertices U-2, 4), (3, 4), and IP(3,-4). Round your answer to the nearest
hundredth. y’all please help
Perimeter of the polygon with given vertices is 22.43
Given:
Point 1 : (-2,4) ,
Point 2 : (3,4),
Point 3 :(3,-4)
Perimeter of a polygon = Sum of all the sides length of polygon
1. Length of Point 1 and point 2 = √[(x₂-x₁)²+(y₂-y₁)² ]
= √[(3+2)²+(4-4)² ]
= 5
2.Length of Point 1 and point 3 = √[(x₂-x₁)²+(y₂-y₁)² ]
= √[(3+2)²+(-4-4)² ]
= 9.43
3. Length of Point 2 and point 3 =√[(x₂-x₁)²+(y₂-y₁)² ]
= √[ (3-3)²+(-4-4)² ]
= 8
So, Perimeter of the polygon = 5+9.43+8
Perimeter of the polygon = 22.43
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The graph of the function, f(x) = x2 - 5x - 7 opens
and has a
value.
The parabola has a positive leading coefficient, which means that it opens upwards.
The graph opens up or down?We want to find the leading coefficient and see how the parabola opens.
A general quadratic equation is written as:
y = A*X^2 +b*X+ c
Where a is the leading coefficient.
If a is positive, then the parabola opens upwards, and if a is negative, the parabola opens downwards.
In this case, the equation is:
y = x^2 - 5x - 7
The leading coefficient is a = 1, it is positive, so the parabola opens upwards.
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Which of the following are integers?
a. 9
b. 7
c. 0
d. 4
Answer: All of them are integer
Step-by-step explanation:
They are all integer.
what is 3/5 times 6/7
Answer:
Step-by-step explanation:
Ok:
1. Straight out Multiplication. Denominator to denominator and numerator to numerator!
3/5*6/7=
18/35=
Answer: 18/35
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Thank you !
vera makes a table to help her find the area of the base of a rectangular box with a volume of 672 cubic inches and a height of 16 inches.
Answer:
Step-by-step explanation:
I am not sure
a manufacturer knows that their items have a normally distributed lifespan, with a mean of 3.1 years, and standard deviation of 0.5 years. the 10% of items with the shortest lifespan will last less than how many years? give your answer to one decimal place.
The shortest lifespan will last less than 2.5 years.
What is standard deviation?
The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.
First, we must utilize the conventional normal table to determine the value for z if 10% of the region (probability) to its left will be present. We can observe that about z = -1.282.
Now, we have to find the value of x, that corresponds to the value of z.
Since,
(x - μ) / σ = z
(x - 3.1) / 0.5 = -1.282
x = 2.459
Hence, the shortest lifespan will last less than 2.5 years.
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There is a bag filled with 3 blue and 4 red
marbles.
A marble is taken at random from the bag,
the colour is noted and then it is not
replaced.
Another marble is taken at random.
What is the probability of getting at least 1
red?
The probability of getting at least 1 red marbles is 3/7.
What is probability?
Probability refers to potential. A random event's occurrence is the subject of this area of mathematics.The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.Probability of getting at least one red = 1 − Probability of getting red marbles
Total number of marbles = 7
Probability of getting red marbles = 4/7
Probability of getting at least one red = 1 - Probability of getting red marbles
= (7-4)/7
= 3/7
Hence, The probability of getting at least 1 red marbles is 3/7.
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Determine which statements are the converse, inverse, and contrapositive of the following statement.
If it is after midnight, Anissa is sleeping.
All rights reser
If Anissa is sleeping, it is not after midnight.
If Anissa is sleeping, it is after midnight.
If it is not after midnight, Anissa is sleeping.
If it is not after midnight, Anissa is not sleeping.
If Anissa is not sleeping, it is not after midnight.
Converse
Contrapositive
Inverca
The statements are characterized as converse, inverse, and contrapositive statements as follows:
A) If it is after midnight, Anissa is sleeping: Converse statements(B) If Anissa is sleeping, it is not after midnight: Inverse statements(C) If Anissa is sleeping, it is after midnight: Converse statements(D) If it is not after midnight, Anissa is sleeping: Inverse statements(E) If it is not after midnight, Anissa is not sleeping: Contrapositive statements(F) If Anissa is not sleeping, it is not after midnight: Contrapositive statementsConverse statements:
If anything, we would say the opposite: "If the grass is wet, it's pouring." "If it is NOT raining, then the grass is NOT wet," would be our inverse claim. If the grass is not wet, it is not raining, according to our contrapositive.Inverse statements:
Each of the original statements is presupposed to be false in an inverted statement. "If it is not snowing" would be the polar opposite of "If it is snowing." "Then it is not chilly" would be the polar opposite of "then it is cold."Contrapositive statements:
When you reverse the hypothesis and the conclusion in a statement and reject both of them, you have a contrapositive statement. When the hypothesis and the conclusion are switched in this example and both are negated, the outcome is: If it is not a triangle, then it is not a polygon.So, the given sentences are:
(A) If it is after midnight, Anissa is sleeping: Converse statements(B) If Anissa is sleeping, it is not after midnight: Inverse statements(C) If Anissa is sleeping, it is after midnight: Converse statements(D) If it is not after midnight, Anissa is sleeping: Inverse statements(E) If it is not after midnight, Anissa is not sleeping: Contrapositive statements(F) If Anissa is not sleeping, it is not after midnight: Contrapositive statementsTherefore, the statements are characterized as converse, inverse, and contrapositive statements as follows:
A) If it is after midnight, Anissa is sleeping: Converse statements(B) If Anissa is sleeping, it is not after midnight: Inverse statements(C) If Anissa is sleeping, it is after midnight: Converse statements(D) If it is not after midnight, Anissa is sleeping: Inverse statements(E) If it is not after midnight, Anissa is not sleeping: Contrapositive statements(F) If Anissa is not sleeping, it is not after midnight: Contrapositive statementsKnow more about converse statements here
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Answer:
1,2,4
Step-by-step explanation:
edem
A fruit seller bought oranges at rs 48 per dozen. At what price should he sell 30 oranges so as make 10%profit
Answer:
132 rs
Step-by-step explanation:
Cost of one orange = 48 : 12 = 4 rs
cost of 30 orange = 4 * 30 = 120 rs
10 : 100 = x : 120
x = (120 * 10)/100
x = 12 rs
final price = 120 + 12 = 132 rs