The value of -175-15- (-204) is 14
Mathematical operations, Addition, and Subtraction:We learn to add and subtract two or more integers or any other mathematical values using the two basic arithmetic operations of addition and subtraction. The plus sign (+) stands for addition, whereas the negative sign (-) stands for subtraction (minus sign). The opposite of addition is subtraction and vice versa.
The following are rules for addition and subtraction:
=> [tex]+ \times + = +[/tex]
=> [tex]- \times - = +[/tex]
=> [tex]+ \times - = -[/tex]
=> [tex]- \times + = -[/tex]
Here we have
-175-15- (-204)
=> - 175 - 15 + 204
=> - 190 + 204
=> 14
Therefore,
The value of -175-15- (-204) is 14
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The number of cups of strawberries in a shortcake recipe is proportional to the number of cups of sugar in the recipe. The recipe uses 5 cups of strawberries per 1/4 cup of sugar.
PART A - What is the constant of proportionality for the relationship between cups of strawberries and cups of sugar
The constant of proportionality is 20.
What is constant of proportionality?
The constant of proportionality is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same rate.
Given,
the recipe uses 5 cups of strawberries per 1/4 cup of sugar.
And let constant of proportionality is k.
that is
5 α 1/4
5 = k1/4
k = 5(4)
k = 20
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Solve the equation to find the value of x. log2(5x-4)=4
The given equation is
[tex]\log _2(5x-4)=4[/tex]To solve for x, the logarithm to indices relationship will be applied
That is
[tex]\begin{gathered} \log _ab=x \\ \Rightarrow b=a^x \end{gathered}[/tex]Hence
[tex]\begin{gathered} \log _2(5x-4)=4 \\ \Rightarrow5x-4=2^4 \end{gathered}[/tex]This is simplified to get
[tex]\begin{gathered} 5x-4=16 \\ 5x=16+4 \\ 5x=20 \\ x=\frac{20}{5} \\ x=4 \end{gathered}[/tex]Therefore, the value of x = 4
1. Find the mean, median, mode and midrange for each gender. Women Men 2. Find the range and standard deviation for each gender. Women Men GENDER WEIGHT Male 191 Male 222 Female 136 Male 168 Female 160 Female 101 Male 154 Female 126 Female 119 Male 178 Male 155 Male 190 Female 165 Male 170 Male 178 Female 102 Male 202 Female 135 Male 169 Female 137 Female 140 Male 184 Female 115 Male 149 Female 126 Male 160 Male 181 Female 140 Female 121 Female 124 Male 158
Answer:
1)To find the mean, median, mode and midrange for each gender.
From the given data,
Male: 191,222,168,154,178,155,190,170,178,202,169,184,149,160,181,158
For Men:
Mean is,
[tex]=\frac{191+222+168+154+178+155+190+170+178+202+169+184+149+160+181+158}{16}[/tex][tex]=\frac{2809}{16}=175.5625[/tex]Mean is 175.5625
Arrange the given data in ascending order,
149,154,155,158,160,168,169,170,178,178,181,184,190,191,202,222
Median is,
[tex]=\frac{170+178}{2}=174[/tex]Median is 174
The mode is one of the values of the measures of central tendency. This value gives us a rough idea about which of the items in a data set tend to occur most frequently.
Mode is 178.
Female: 136,160,101,126,119,165,102,135,137,140,115,126,140,121,124
For Women:
Mean is,
[tex]=\frac{136+160+101+126+119+165+102+135+137+140+115+126+140+121+124}{15}[/tex][tex]=129.8[/tex]Mean is 129.8
Arrange the given data in ascending order,
101,102,115,119,121,124,126,126,135,136,137,140,140,160,165
Median is 126
Mode is 126,140
You used a student deck of 52 cards and selected a card at random find (c) 2 of heart
Definition
Theoretical Probability is the ratio of the number of favorable outcomes to the total possible outcomes of an event.
Expressing probability as a formula:
[tex]\text{probability = }\frac{Number\text{ of favorable outcomes}}{Total\text{ possible outcomes of an event}}[/tex]Information about a standard deck of cards:
A standard deck of cards has four suits: hearts, clubs, spades, diamonds. Each suit has thirteen cards: ace, 2, 3, 4, 5, 6, 7, 8, 9, 10, jack, queen, and king. Thus the entire deck has 52 cards total.
(a) Picture card (J, Q, and K)
In a standard deck, there are 4 Jacks, Queens, and Kings. Hence, the probability of J, Q, and K are:
[tex]\begin{gathered} \text{Number of picture cards = 4 }\times\text{ 3} \\ =\text{ 12} \end{gathered}[/tex]Probability as a fraction:
[tex]=\text{ }\frac{12}{52}[/tex]In decimal:
[tex]=\text{ }0.23[/tex]Percent:
[tex]\begin{gathered} =\text{ 0.23 }\times\text{ 100} \\ =\text{ 23\%} \end{gathered}[/tex](b) 9 or 10
There are 4 cards labeled 9 and 10 each.
Probability as a fraction:
[tex]\begin{gathered} P(9or10)=\text{ P(9) + P(10)} \\ =\text{ }\frac{4}{52}\text{ + }\frac{4}{52} \\ =\text{ }\frac{8}{52} \end{gathered}[/tex]In decimal:
[tex]=\text{ 0.15}[/tex]In percent:
[tex]\begin{gathered} =\text{ 0.15 }\times\text{ 100} \\ =\text{ 15\%} \end{gathered}[/tex](c) 2 of heart
In a standard deck of cards, there are only one 2 of hearts.
Probability as a fraction:
[tex]=\text{ }\frac{1}{52}[/tex]In decimal:
[tex]=\text{ 0.02}[/tex]In percent:
[tex]\begin{gathered} =\text{ 0.02 }\times\text{ 100} \\ =\text{ 2\%} \end{gathered}[/tex]A set of tires for your car cost 435.00 what is the cost for one tire?
Answer: Provided that the car has four tires, the cost per tire would be $ 108.75
Step-by-step explanation:
435 (Total tire cost) / 4 (number of tires) = 108.75 (the cost per tire)
**Cost model used does not include taxes or applicable other fees.
Answer:
108.75 each tire
Step-by-step explanation:
because 435.00 dividEd by 4 equals 108.75
If the speed of a train is increased by 4 miles per hour from its original speed, then it takes 1 hour less to cover a distance of 288 miles. Find its original speed.
The original speed of the train was 32 miles per hour.
We have a train. The train travels a distance equal to 288 miles. It is given that if the speed of a train is increased by 4 miles per hour from its original speed, then it takes 1 hour less to cover the distance. We need to find out the original speed of the train.
Let the original speed of the train be denoted by the variable "s". We can write the following equations using the given data:
s = 288/t
(s + 4) = 288/(t - 1)
We will substitute the value of "s" from the first equation into the second equation.
(288/t) + 4 = 288/(t - 1)
(288)×(t - 1) + 4×t×(t - 1) = 288×t
288t - 288 + 4t² - 4t = 288t
4t² - 4t - 288 = 0
t² - t - 72 = 0
t² - 9t + 8t - 72 = 0
t(t - 9) + 8(t - 9) = 0
(t - 9)(t + 8) = 0
The value of time cannot be negative, so the value of "t" is 9. Now, we will substitute this value into the first equation.
s = 288/t
s = 288/9
s = 32
Hence, the original speed of the train is 32 miles per hour.
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How many subsets does the set T = {salsa, sour cream, queso, guacamole, pico de gallo} have?Question 49 options:a) 5b) 0c) 25d) 32
SOLUTION:
Step 1:
In this question, we are given the following:
How many subsets does the set T = {salsa, sour cream, queso, guacamole, pico de gallo} have?
Step 2:
The details of the solution are as follows:
Recall that:
The empty set and the set itelf are also part of the subsets that must be included as part of the number of subsets.
If a set has “n” elements,
then the number of subset of the given set is
[tex]2^n[/tex]Hence, the total number of subsets will be:
[tex]2^5=\text{ 32 \lparen OPTION D \rparen}[/tex]CONCLUSION:
The final answer is:
[tex]32\text{ \lparen OPTION D \rparen}[/tex]What is the slope of the line that passes through the points (0, -8) and (0,−10)? Write your answer in simplest form.
Answer:
Undefined
Step-by-step explanation:
The x-coordinates of two points on the line are the same, so the line is vertical. Thus, the slope is undefined.
I need help! fast! please help will give 50 points
Answer:
9/2
Step-by-step explanation:
Answer
the commisoin is 270
qrst is a square find Qu if qs =16t-14 and qu=6t+11
You have the square QRST, furthermore, you have that sides QS and QU are given by the following algebraic expressions:
QS = 16t - 14
QU = 6t + 11
Due to QRST is a square, the length of all sides are equal.
You can notice by the symmetry of the figure that QS = 2QU
Equal the expressions for QS and 2QU and solvde for t:
16t - 14 = 2(6t + 11) apply distribution property
16t - 14 = 12t + 22 add 14 both sides
16t = 12t + 22 + 14 subtract 12t both sides
16t - 12t = 22 + 14 simplfy like terms
4t = 36 divide by 4 both sides
t = 36/4 simplify the fraction
t = 9
Hence, the value of t is t = 9
18 pizzas were ordered for a holiday party at Reedy Creek Elementary
ANSWER
C. 12
EXPLANATION
1/3 of the pizzas is:
[tex]18\times\frac{1}{3}=\frac{18}{3}=6[/tex]Therefore, 6 pizzas were cheese and the rest were pepperoni:
[tex]18-6=12[/tex]There were 12 pepperoni pizzas.
Lindsey bought a picnic basket originally priced at $40 but on sale for 50% off. After 10% sales tax, what was the total cost?
$
Answer:
Step-by-step explanation:
I got 22 my friend hope i helped.
Answer:
$18
Step-by-step explanation:
50% of 40 is 20, so 40-20=20
10% of 20 is 2, so 20-2=18
total price=$18
Rewrite in simplest terms: -5a – 8(-8a + 1)
The expression is given as
[tex]-5a-8(-8a+1)[/tex]Step 1: Expand the parenthesis (-8a+1) by multiplying through by -8:
[tex]\begin{gathered} -5a\lbrack+64a-8\rbrack \\ \therefore-5a+64a-8 \end{gathered}[/tex]Simplify the expression by collecting and solving like terms:
[tex]\begin{gathered} -5a+64a-8\text{ } \\ =59a-8 \end{gathered}[/tex]Thus, the simplest term is 59a - 8
1. 2x + 7 + 3x + 5 =5x+12
2. 3x + 9 + 4x + 3 =7x+12
3. 5x - x = 4x
4. 5y + 7y = 12y
5. 7 + 6y + 5 =6y+12
6.2 + 6x + 4 + x = 6+7x
7.4 + 5y + 6 + 2y = 10+7y
8. 3x + 9 + 4x - 5 =4+7x
9.8+y-5+ 2y = 13+1y
10. 6y + 4 + 8y + 9 =14y+13
11. 2+x-1 + 4x=1+5x
12. 8y + 4y = 12+
pls i need the answers like now!!
Answer:are you fr bro??
1.true
2.true
3.true
4.true
5.true
6.true
7.true
8.true
9.y=2
10.true
11.true
12.y=1
Step-by-step explanation:
1. 5x+12=5x+12
2.7x+12=7x+12
3.5x=5x
4.12y=12y
5.6y+12=6y+12
6.7x+6=7x+6
7.7y+10=7y+10
8.7x+4=7x+4
9.3+3y=13+y
2y=10
y=2
10.14y+13=14y+13
11.5x+1=5x+1
12.12y=12
y=1
Bonjour est-ce que vous pouvez m’aider s’il vous plaît voici l’exercice
C’est l’exercice 19
Answer:
a = ⁵⁄₃ = 1⅔
b = ¼
c = ⁵⁄₇
d = ¹³⁄₁₂ = 1¹⁄₁₂
e = -⁷⁄₃₀
f = ³⁷⁄₁₄ = 2⁹⁄₁₄
A swimming pool is being filled. If the depth of the water increases at the rate of 13.5 inches of water per hour. After 6 hours how many feet of water have been added to the pool?
Given data:
The depth of water increases per hour is d= 13.5 in/hour.
The given time is t= 6 hours.
The amount of water added is,
[tex]\begin{gathered} W=d\times t \\ =(13.5)(6)\text{ }in \\ =81\text{ in} \\ =81\text{ in(}\frac{1\text{ ft}}{12\text{ in}}) \\ =6.75\text{ ft} \end{gathered}[/tex]Thus, 6.75 feet of water added in 6 hours.
Help me with my algebra. Please and thank you.
Answer:
A
Step-by-step explanation:
The system of equations listed in answer A fits both of the criteria.
as x represents the number of 55-inch televisions and y fits the criteria of the number of 65-inch television, we can use the knowledge we have from the question that we can combine these two variables to get a total number of tv's.
As said in the question: "The first week they sold 44 TVs total" meaning that the combined total amount of TV's sold was 44, meaning x + y (which are just variables, not "known" amounts equates to 44.
x + y = 44
The second equation in the system represents the profits. Using the same knowledge from before, we don't know how many how many tv's of each were sold but we can use these variables to present that each 55-inch tv is worth $349 and each 65-inch tv is worth $469.
349x+469y = 17,516 represents this perfectly, thus making A our answer
Valerie earns $28,000.00 per year as an assistant hotel manager. Find her
average pay to the nearest cent if she works 38 hours per week, for 52 weeks
out of the year.
Answer:
$14.17 per hour
Step-by-step explanation:
You want Valerie's average pay to the nearest cent if she works 38 hours per week, for 52 weeks out of the year, receiving annual pay of $28,000.
Pay per HourIn a year, Valerie works ...
(38 hours/week) × (52 weeks/year) = 1976 hours/year
She is paid $28,000 for that number of hours, so her hourly pay is ...
$28,000/(1976 hours) ≈ $14.17/hour
Valerie's average pay is about $14.17 per hour.
Which linear equality will not have a shared solutionset with the graphed linear inequality?Oy> ²x + 2Oy<-5x-72Oy>-x-5Oy < 5 x + 2
The linear inequality y</5/2 x - 7 does not have any common solution set with the given inequality.
The solution sets of the linear inequality are drawn in the graph attached below,
From the graph it is seen that the yellow part represents the inequality y≥-5/2 x - 3
And the green section of the graph represents the other inequality
y<-5/2 x - 7
As we can see in the graph that the two areas are separate. So there are no common points.
Again if we consider the two inequalities as two lines y= -5/2 x - 3
and y = -5/2 x - 7 . we can see that they both have the same slopes of -5/2 so they are parallel lines. so they will never intersect.
Therefore we can conclude that the inequality y</5/2 x - 7 does not have any common solution set with the given inequality.
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pls help, this is too hard for me
The value that will be included in section D is C option 0.
The number that could not be included in the section B is D option [tex]\sqrt{32}[/tex].
An example of a value that could be represented by C is -10.
As we can observe from the figure, we can write the following:-
E is the set of natural numbers.
D is the set of whole numbers.
C is the set of integers.
D is the set of rational numbers.
A is the set of irrational numbers.
The biggest rectangle is the set of real numbers comprising of rational and irrational numbers.
Hence,
The value that will be included in section D is C option 0 as it is whole number.
The number that could not be included in the section B is D option [tex]\sqrt{32}[/tex] as it is an irrational number and will be included at A.
An example of a value that could be represented by C is -10 as C represents the set of integers.
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4 in length and 2.6 in width What is the area in feet. Round to nearest hundredth place.
Solution
Given a rectangle of the dimension
[tex]\begin{gathered} \text{Length}=L=4\text{ in} \\ \text{Breadth}=B=2.6\text{ in} \end{gathered}[/tex]To find the area, A, of a rectangle, the formula is
[tex]A=LB[/tex]Where
[tex]\begin{gathered} 1ft=12\text{in} \\ 4\text{ in}=\frac{1}{3}ft \\ 2.6\text{ in}=\frac{13}{60}ft \end{gathered}[/tex]Substitute the values into the formula above
[tex]\begin{gathered} A=LB \\ A=\frac{1}{3}\times\frac{13}{60}=\frac{13}{180}=0.07222ft^2 \\ A=0.07ft^2\text{ (nearest hundredth)} \end{gathered}[/tex]Hence, the answer is 0.07ft² (nearest hundredth)
Question 2 Part C (2.02, 2.05): The linear function f(x) represents the average test score in your language arts class, where x is the number of the test taken. The linear function g(x) represents the average test score in your social studies class, where x is the number of the test taken.
Answer:
f(x)
Step-by-step explanation:
[tex]f(4)=0.3(4)+80=81.2 \\ \\ \\ \frac{g(3)-g(2)}{3-2}=\frac{81-83}{1}=-2 \\ \\ \therefore g(x)-85=-2(x-1) \\ \\ g(x)=-2x+2+85=-2x+87 \\ \\ g(4)=-2(4)+87=79 \\ \\ \therefore f(4)>g(4) \implies \boxed{f(x)}[/tex]
a person must score in the upper 7% of the population on an admissions test to qualify for membership in society catering to highly intelligent individuals. if test scores are normally distributed with a mean of 110 and a standard deviation of 15, what is the minimum score a person must have to qualify for the society? (round your answer to the nearest integer.)
Answer:
Below
Step-by-step explanation:
Look for .9300 on the z-score table
= z-score = + 1.48
1.48 standard deciations = 1.48 * 15 = 22.2
110 + 22.2 = 132.2
132.2 is 1.48 standard deviations above the mean and is .9308 (93.08%)
The circumference of a circle is 22π ft. What is the area, in square feet? Express your answer in terms of \piπ.
Answer:
121 pi
Step-by-step explanation:
pi d =22 pi
divide both side by pi to find diameter
d=22
divide by 2 too find radius
11 is the radius
plugg 11 to pi r ²
121 pi
WILL GIVE BRAINIEST!!!
Answer:
x=1
Step-by-step explanation:
Both graphs intersect at 1
Answer:
x=1
Step-by-step explanation:
They sectioned at 1
In ΔKLM, l = 710 cm, k = 130 cm and ∠K=161°. Find all possible values of ∠L, to the nearest 10th of a degree.
PLEASE HELP
The value of ∠L is 2.909° as the definition of angle is "An angle is created by joining two line segments at one point, or we can say that an angle is the combination of two line segments at a common endpoint".
What is angle?An angle is created by joining two line segments at one point, or we can say that an angle is the combination of two line segments at a common endpoint. When two straight lines or rays intersect at a single endpoint, an angle is created. The vertex of an angle is the location where two points come together. The Latin word "angulus," which means "corner," is where the word "angle" originates. Based on measurement, there are different kinds of angles in geometry. The names of fundamental angles include acute, obtuse, right, straight, reflex, and full rotation. A geometrical shape called an angle is created by joining two rays at their termini. In most cases, an angle is expressed in degrees.
Here,
Side k = 130
Side l = 710
Side m = 833.99204
Angle ∠L = 2.909°
Angle ∠M = 16.091°
Angle ∠K = 161°
Angle L=cos⁻¹((m²+ k² - l²)/2mk)
=cos⁻¹((834²+130²-710²)/2*834*130)
= 2.909°
Since the definition of an angle is "An angle is created by joining two line segments at one point, or we can say that an angle is the combination of two line segments at a common endpoint," the value of ∠L is 2.909°.
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Write the inequality that matches the description. The boundary line is dashed and has a slope of -7 and a y-intercept of 2. The area below the line is shaded.
Answer:
y<-7x+2
Explanation:
The slope-intercept form of a line is: y=mx+b
• When slope, m = -7
,• y-intercept, b = 2
We have:
[tex]y=-7x+2[/tex]Since the boundary line is dashed, the inequality sign has to be < or >.
However, since the area below the line is shaded, we can now conclude that the inequality sign is: <
The inequality that matches this description is:
[tex]y<-7x+2[/tex]WILL GIVE BRAINIEST!!!!!
The x-coordinates of the points of intersection of the given function graphs are;
1) x = 0 and x = 2
2) x = -1
3) x = 0
What is the point of intersection of the graph?
The point of intersection of a graph is defined as the point or coordinates where two lines or curves meet each other.
1) In the first graph, we are given the functions as;
f(x) = -³/₄x² + 3x + 1
g(x) = 2ˣ
Thus;
From the graph, f(x) = g(x) is at (2,4 and (0, 1)
2) In the first graph, we are given the functions as;
f(x) = x² + 4x + 2
g(x) = (¹/₂)ˣ + 1
Thus;
From the graph, f(x) = g(x) is at (-1. 3)
C) In the third graph, we are given the functions as;
f(x) = -⁷/₃x - 3
g(x) = 2ˣ - 4
Thus;
From the graph, f(x) = g(x) is at (0, -3)
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Which is the graph of the inverse sine function?
On a coordinate plane, a graph starts at (negative 1, negative StartFraction pi over 2) and increases through (0, 0) to (1, StartFraction pi Over 2 EndFraction).
On a coordinate plane, a graph starts at (negative 1, pi) and decreases through (0, StartFraction pi Over 2 EndFraction) to (1, 0).
On a coordinate plane, a graph starts at (negative StartFraction pi Over 2 EndFraction, 0) and increases through (0, 0) to (StartFraction pi Over 2 Endfraction, 1).
a) is the graph of inverse sine function.
Define inverse sine function.The inverse of the sine function, also known as the arcsine function, returns the angle's value when the sine function's opposite side and hypotenuse ratio are equal. It produces the angle's value.
When the opposing side and hypotenuse of a right triangle are known, the angles can be determined using the inverse sine function. That is, angle = sin-1. The inverse sine function, which is represented as sin-1 or arcsine, is one of the inverse trigonometric functions that calculates the inverse of the sine function. Each restricted domain inverse of a trigonometric function, such as cosine, tangent, cosecant, or cotangent, exists. The trigonometric ratios from the right-angle triangle are utilized to compute the angles using the inverse function formulas.
Given,
a) is the graph of inverse sine function.
Function - inverse sine
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Answer:
A
Step-by-step explanation:
Joseph runs 2/3 of a mile in 8 minutes. If Joseph runs at that speed, how long will it take him to run four miles? pls include explanation
Joseph runs 4 miles in 48 minutes.
From the question, we have
Joseph runs 2/3 of a mile in 8 minutes.
Joseph runs 1 mile in (3*8)/2 = 12 minutes.
Joseph runs 4 miles in (12*4)= 48 minutes.
Multiplication:
Finding the product of two or more numbers in mathematics is done by multiplying the numbers. It is one of the fundamental operations in mathematics that we perform on a daily basis. Multiplication tables are the main use that is obvious. In mathematics, the repeated addition of one number in relation to another is represented by the multiplication of two numbers. These figures can be fractions, integers, whole numbers, natural numbers, etc. When m is multiplied by n, either m is added to itself 'n' times or the other way around.
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