The fraction of the total pies remained is option (A) 23/20 is the correct answer.
In this question,
A host served two pies, one apple and one cherry.
Dinner guests ate twenty-five percent of the apple pie and sixty percent of the cherry pie.
Apple pie = 25%
∴ Remaining = 100% - 25%
⇒ 75%
⇒ Fraction of apple pie remained is 3/4
Cherry pie = 60%
∴ Remaining = 100% - 60%
⇒ 40%
⇒ Fraction of cherry pie remained is 2/5
Thus fraction of the total pies remained is
⇒ 3/4 + 2/5
⇒ (15+8) / 20
⇒ 23/20
Hence we can conclude that the fraction of the total pies remained is option (A) 23/20 is the correct answer.
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Given g(x)=-5x-4, solve for x when g(x)=1.
Answer:
Your answer is 2
Step-by-step explanation:
If g(x) = -5x - 4 and g(x) = 1 then -5x - 4 = 1.
Given this, we can now solve for x by adding 4 to both sides and then dividing both sides by -5 to isolate the value of x.
-5x-4=1
-5x-4+4=1+4
-5x=5
5 5
5 5
x=-1
a company's charge for electricity is ¢6.434 per kilowatt-hour. in addition, each monthly bill contains a customer charge of $7.81. if last year's bills ranged from a low of $51.74 to a high of $192.28, over what range did usage vary (in kilowatt-hours)?
The range did usage vary over from 823.81 to 2461.97 kilowatt-hours.
What is kilowatt-hour?Kilowatt-hours are units of energy that represent one kilowatt of electricity for one hour (SI symbol: kWh or kWh; typically abbreviated as kWh). It is 3.6 megajoules in terms of standard units (MJ). For electrical energy supplied to customers by electric utilities, kilowatt-hours are a typical billing unit. The abbreviation "kWh," which is derived from the letters kilowatt and hour, stands in for the kilowatt-hour and is a commonly used abbreviation. In addition to being often used in commercial, academic, and scientific publications as well as in the media, it is also frequently employed by electric utility companies to bill consumers for energy delivered to them. One kilowatt (kW) sustained for one hour (multiplied by one) is equivalent to one kilowatt-hour, a composite unit of energy.
$64.34=6434 cents
$192.28=19228 cents
So 6434 cents correspond to 6434/7.81
=823.81 kilo watt hours
19228 cents=19228/7.81
=2461.97 kilowatt-hours
So Range is 823.81 to 2461.97 kilowatt-hours.
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Which answer graphs the parent function f(x) = |x|, and the translated function g(x) = |x − 2| + 1 on the same grid?
Using translation concepts, the graphs of f(x) = |x| and g(x) = |x - 2| + 1 are given at the end of the answer.
What is a translation?A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s range(involving values of y) or in it’s domain(involving values of x). Examples are shift left, shift right, shift down, shift up, vertical stretching, horizontal stretching, vertical compression, horizontal compression, reflection over the x-axis, reflection over the y-axis, and rotations by a determined amount(in degrees). All these translations have predetermined rules that we apply to the figures.
For this problem, the parent and translated functions are given, respectively, by:
f(x) = |x|.g(x) = |x - 2| + 1.The translations are given as follows:
x -> x - 2, meaning that the function was shifted 2 units right.g(x) = f(x) + 1, meaning that the function was shifted 1 unit up.Considering these two translations, the functions are plotted in the graph given at the end of the answer, with:
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Which sentence has an inappropriate shift in verb tense?
A. By the time Grandma arrives, Chloe will have cleaned her room.
B. Jasmine will ride her bike after she walks her dog.
C. Diego had read for twenty minutes before he played video games.
D. Caleb felt calm because he knows the solution to his problem.
please help me if u cann tysmm
Answer:
A. By the time Grandma arrives, Chloe will have cleaned her room.
Step-by-step explanation:
<3
Answer:
D. Caleb felt calm because he knows the solution to his problem.
Step-by-step explanation:
In the sentence "Caleb felt calm because he knows the solution to his problem.", 'felt' and 'knows' are the verbs. Both of these verbs describe Caleb in one situation, so they have to be in the same tense.
What are the steps for
X+5y=-28
-x+y=4
The solution of the system of the equations is gotten using substitution method and the values of the unknown are x = -8 and y = - 4
How to solve the system of equationsGiven data
x + 5y = -28
-x + y = 4
From -x + y = 4
step 1 make y the subject of formula to have
y = 4 + x
step 2 substitute y = 4 + x into the equation x + 5y = -28
x + 5y = -28
x + 5 ( 4 + x) = -28
x + 20 + 5x = -28
x + 5x = -28 - 20
6x = -48
x = -8
step 3 substitute x = -8 into y = 4 + x
y = 4 + x
y = 4 - 8
y = - 4
Hence we can say that The solution of the system of the equations is gotten using substitution method and the values of the unknown are x = -8 and y = - 4
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Decide weather T he statement is true or false
Answer:
True, True, False, False, True
Step-by-step explanation:
X, Y, and Z are on the same line.
Point W is on line I, not line M.
YW and YD aren't on the same line.
YX and YZ are on the same line.
How to solve :
[tex]\frac{3x}{2-|x|} \leq 1[/tex]
After the solution of the expression 3x/2-|x| ≤ 1 the interval notation is:
[tex]\left(-2, \frac{1}{2}\right] \cup(2, \infty)[/tex]
What do we mean by expressions?In mathematics, an expression is a sentence that contains at least two numbers or variables and at least one math operation. Addition, subtraction, multiplication, or division are all examples of math operations. An expression's structure is as follows: (Number/variable, Math Operator, Number/variable) is an expression.So, get x, by simplification of both sides of the inequality before isolating the variable.
Form of Inequality:
3x/2-|x| ≤ 1-2 < x ≤ 1/2 or x > 2Interval notation:
[tex]\left(-2, \frac{1}{2}\right] \cup(2, \infty)[/tex](Refer to the graph diagram given below)
Therefore, after the solution of the expression 3x/2-|x| ≤ 1 the interval notation is:
[tex]\left(-2, \frac{1}{2}\right] \cup(2, \infty)[/tex]
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According to this graph, what can be said about the global surface temperature trend from 1910 to 1950?
On average, it fell about 0.2 degrees between 1910 and 1950
On average, it rose about 0.3 degrees between 1910 and 1950
On average, it rose about 0.5 degrees between 1910 and 1950
On average, it rose about 0.8 degrees between 1910 and 1950
According to this graph, the global surface temperature trend from 1910 to 1950: C. on average, it rose about 0.5 degrees between 1910 and 1950.
What is a graph?A graph can be defined as a type of chart that's commonly used to graphically represent data on both the horizontal and vertical lines of a cartesian coordinate, which are the x-axis and y-axis.
By critically observing the graph of the average global surface temperature during the 20th century, we can logically deduce the following data points and statements:
The average global surface temperature appears to have increased by 1.4 degrees (1.4°).During the period from 1850 to 1910, the average global surface temperature was significantly lower.On average, the global surface temperature rose about 0.5 degrees (0.5°) between 1910 and 1950.Read more on temperature graph here: https://brainly.com/question/3856090
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Answer:
Step-by-step explanation:
I took the quiz! :)
the sum of two angles of a triangle is 6/5 of a right angle, and one of these two angles is 30 larger than the ohter
The measure of two angles are 39 degree and 69 degree. By the Triangle Sum Theorem, the sum of all angles in a triangle is 180 degree, so the final angle is 72 degree. Therefore, the largest angle in the triangle is 72 degree.
Describe the Triangle Angle Sum property?According to the triangle's "angle sum property," a triangle's interior angles add up to 180°.
Given:
[tex]The\;sum\;of\;two\;angles\;in\;a\;triangle\;is\;\frac{6}{5}\;of\;a\;right\;angle\;is,\;\frac{6}{5} \times 90^{\circ} = 108^{\circ}[/tex]
[tex]let\;x\;is\;the\;measure\;of\;the\;first\;angle[/tex]
[tex]one\;of\;these\;two\;angles\;is\;30\;larger\;than\;the\;other,\;is\;x+30=108[/tex]
We know that sum of two angles is 108
[tex]x+x+30=108^{\circ}[/tex]
[tex]2x+30=108[/tex]
[tex]2x=108-30[/tex]
[tex]2x=78[/tex]
[tex]x=39^{\circ}[/tex]
Second angle y is,
[tex]y=x+30[/tex]
[tex]y=39+30[/tex]
[tex]y=69^{\circ}[/tex]
By the Triangle Sum Theorem, the sum of all angles in a triangle is 180 degree,
Third angle z is,
[tex]x+y+z=180[/tex]
[tex]39+69+z=180[/tex]
[tex]108+z=180[/tex]
[tex]z=180-108[/tex]
[tex]z=72^{\circ}[/tex]
[tex]By\;comparing\;the\;angles\;39^{\circ},\;69^{\circ}\;and\;72^{\circ}, 72^{\circ}\; is\;greater[/tex]
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Rewrite the product in exponential form.
(u-v) (u-v) 8-8 (u-v)
Answer:
[tex]8\left(u-v\right)^2-8\left(u-v\right)[/tex]
Step-by-step explanation:
[tex]\left(u-v\right)\left(u-v\right)=\left(u-v\right)^2\\\left(u-v\right)^2\cdot \:8-8\left(u-v\right)\\=8\left(u-v\right)^2-8\left(u-v\right)[/tex]
➲ Hope this helps.
➲ Notify me of any concerns.
HELP ME!!! I WILL GIVE BRAINLIEST IF YOU WANT!!
Answer:
the one with the answer -10
Step-by-step explanation:
Answer:
So you do -8 + -2 which equals -10. it is the 3rd answer
Step-by-step explanation:
You are running a left-tailed 2-sample z-test at the 0.05 level of significance and you find a test statistic of z=-1.87. shoudl you reject or not reject the null?
Using the critical value, we should reject the null.
What is a test statistic?A test statistic is a quantity derived from a sample that is used in statistical hypothesis testing. A hypothesis test is usually specified in terms of a test statistic, which is a numerical summary of a data set that reduces the data to a single value that can be used to perform the hypothesis test. In general, a test statistic is chosen or defined in such a way that it quantifies, within observed data, behaviors that distinguish the null hypothesis from the alternative hypothesis, where such an alternative is prescribed, or that characterize the null hypothesis if no alternative hypothesis is explicitly stated.So,
Test = 2.85Critical value = Z(0.05) = 1.645RR: Reject if the Z test > 1.645Z test = 2.85 > 1.645 ⇒ RejectTherefore, using the critical value, we should reject the null.
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A speed skater moving across frictionless ice at 12 m/s hits a 7.0 m wide patch of rough ice. she slows steadily, then continues on at 6.0 m/s. what is her acceleration on the rough ice?
As per kinematic theory, when any object is moving on a rough surface, the friction force will act on the surface. And the friction force is in the opposite direction to the motion of the object.
Using kinematic formulas, the acceleration speed can be calculated:
[tex]v^{2} = u^{2} +2as[/tex]
As per the given data,
The initial speed of the skater [tex](u) = 12m/s[/tex]
The width of the pitch on the rough ice [tex](s) = 7.0 mt[/tex]
The final speed of the skater [tex](v) = 6.0m/s[/tex]
Substituting these values in the kinematic formula, we get
[tex]a = \frac{v^{2}-u^{2} }{2s}[/tex]
[tex]a = \frac{6^{2}-12^{2} }{14}[/tex]
[tex]a=- 7.71 m/s[/tex]
Therefore the calculated acceleration on the rough ice is [tex]-7.71m/s[/tex]
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Which of the following properties was used in the expression shown here? 22 + 14x14x + 22
1. commutative property
2. associative property
3. disributive property
Answer:
Commutative Property
Step-by-step explanation:
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The depth of a local lake averages 38 ft, which is represented as |−38|. In February, it measured 6 ft deep, or |−6|, and in July, it was 25 ft deep, or |−25|. What is the difference between the depths in February and July?
32 feet
31 feet
19 feet
13 feet
The difference between the depths in February and July is 19 feet.
To find the difference between the depths in February and July, we need to subtract the depth in February from the depth in July.
The depth in February is given as |−6|, which is 6 feet, and the depth in July is given as |−25|, which is 25 feet.
Difference = Depth in July - Depth in February
Difference = 25 feet - 6 feet
Difference = 19 feet
Therefore, the difference between the depths in February and July is 19 feet.In February, the depth of the lake is given as |−6|, which represents the absolute value of -6. The absolute value of a number disregards its sign, so |−6| is equal to 6 feet.
In July, the depth of the lake is given as |−25|, which represents the absolute value of -25. Again, disregarding the sign, |−25| is equal to 25 feet.
To find the difference between the depths in February and July, we subtract the depth in February from the depth in July:
Difference = Depth in July - Depth in February
Difference = 25 feet - 6 feet
Difference = 19 feet
Therefore, the difference between the depths in February and July is 19 feet. This means that the lake experienced a change of 19 feet in depth between those two time points.
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Pretty please help me
Answer:
see explanation
Step-by-step explanation:
the sum of the 3 angles in a triangle = 180°
sum the 3 angles and equate to 180
2y + 50 + y + 10 = 180
3y + 60 = 180 ( subtract 60 from both sides )
3y = 120 ( divide both sides by 3 )
y = 40
2y = 2 × 40 = 80
y + 10 = 40 + 10 = 50
Answer:
y = 40
2y = 80
y + 10 = 50
Step-by-step explanation:
The sum of the angles of a triangle is 180°
Using values given,
2y + (y + 10) + 50 = 180
2y + y + 10 + 50 = 180
3y + 60 = 180
3y = 180-60 = 120
y = 120/3 = 40
2y = 80
y + 10 = 40 + 10 = 50
write a formula that expresses the first variable as a function of the second: 1.the area of a circle as a function of its diameter
The area of a circle as a function of its diameter is A(d) = [tex]\frac{\pi d^2}{4}[/tex].
We have to find the area of a circle as a function of its diameter.
Let the diameter of the circle be d.
We know the formula,
Area of circle = [tex]\pi r^2[/tex]
Where,
r is the radius of the circle.
[tex]\pi[/tex] = constant.
We know that,
Radius is equal to half the diameter of a circle.
Hence, we can write
r = d/2
Where d is the diameter of the circle.
Hence, we can write,
Area of circle as a function of its diameter = A(d) = [tex]\pi (\frac{d}{2})^2 = \frac{\pi d^2}{4}[/tex].
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Some friends are playing a music trivia game that has 4 topics: rock, rap, country, and pop. Each player spins a spinner with 9 equal sections to get
the topic of their question. The friends answer a total of 54 questions, of which 20 are rock questions. 16 are rap questions, and 7 are country
questions.
How many sections of the spinner are most likely labeled pop? Enter the answer in the box.
Answer:
3
Step-by-step explanation:
Use point-slope form to write the equation of a line that passes through the point ( − 18 , 2 )with slope 1
The equation of a line that passes through the point ( − 18 , 2 )with slope 1 will be
y=x+20
equation of a line that passes through the point ( x₁ ,y₁ )with slope m is
y-y₁ = m(x-x₁)
y-2=1(x-(-18))
y-2=x+18
y=x+20
coordinate geometry is a system that makes use of one or greater numbers, or coordinates, to uniquely determine the placement of the factors or other geometric factors on a manifold inclusive of Euclidean space.
The order of the coordinates is full-size, and they may be once in a while diagnosed through their function in an ordered tuple and sometimes via a letter, as in "the x-coordinate".
The coordinates are taken to be actual numbers in basic arithmetic, however may be complicated numbers or elements of a extra abstract system together with a commutative ring. the usage of a coordinate device permits troubles in geometry to be translated into issues approximately numbers and vice versa; that is the idea of analytic geometry
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Please help me find the type of angles !!!!!!
Trey is selling raffle tickets. For every 4 tickets, he charges $24 . Complete the table below showing the number of tickets and the amount Trey charges.
A cat runs 3/5 of a mile in 2/10 of an hour. How many miles did the cat run in 1 hour?
The cat ran 3 miles in one hour
How to calculate the number of miles ?
A car runs 3/5 of a mile in 2/10
The number of miles ran in one hour can be calculated as follows
3/5= 2/10
x= 1
Cross multiply
2/10x= 3/5
x= 3/5 ÷ 2/10
= 3/5 × 10/2
= 3
Hence the car ran 3 miles in 1 hour
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Write an absolute value equation representing all numbers x whose distance from 4 is 3 units.
The equation is
(Type an equation using x as the variable.)
The equation is | x - 4 | = 3
Here, we are given that x represents all numbers that are at a distance of 3 units from 4.
Now, the distance of x from 4 can be in the positive direction or in the negative direction.
This can be represented by an absolute value function as follows-
| x - 4 | = 3
we can check our result by solving the given equation
| x - 4 | = 3 can be written as-
x - 4 = 3 or -x + 4 = 3
x = 7 or x = 1
Both, x = 1 and 7 are at a distance of 3 units from 4.
Thus, | x - 4 | = 3 is the absolute value function.
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Gracie has two identical fidget cubes shown below. The edge length of the fidget cubes is 4 centimeters. What is the combined volume of the two fidget cubes in cubic centimeters?
Answer:
24
Step-by-step explanation:
so edge length means you count how many cubic units you can see when looking from length width and height
since the edge length is four, you multiply that by 3 (length width and height are all 4) and that would be 12
since there are two you do two times 12= 24 (im not 100% sure cuz I haven't learned this yet)
A square rug has an area 38 ft2. Write the side length as a square root. Then decide if the side length is a rational number.
Then the rug has side length
Is the side length a rational number?
The side length of rug is 6.16 ft which is not a rational number.
A rational number, in arithmetic, a number that can be expressed as the quotient p/q of two integers such that q ≠ 0.In addition to all fractions, the set of rational numbers also includes all integers. Each of these can be expressed as a quotient with an integer in the numerator and 1 in the denominator.
Area of square rug = 38 ft square
Area of square = side * side
area of square = area of square rug
side*side=38
(side)^2= 38
side=√38
side=6.16
Hence, The side length of rug is 6.16 ft which is not a rational number.
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Which statement and reason best completes the proof?
A. Statement: 2. 2 is supplementary to *4; Reason: 2. linear pair theorem
B. Statement: 2. m 1 + m 4 = 180°; Reason: 2. definition of supplementary angles
C. Statement: 2. m 2 + m 3 = 180°; Reason: 2. definition of supplementary angles
D. Statement: 2. 1 is supplementary to *2; Reason: 2. linear pair theorem
B. Statement: 2. m 1 + m 4 = 180°; Reason: 2. definition of supplementary angles. Angle 1 and angle 3 are vertically opposite angles because, for this reason, they are equal.
Given details in the question are as follows:
Two lines are interesting to each other at one point and make 4 angles which are as follows: Angle 1,2,3,4
If two lines intersect at a point, then the vertically opposite angles are always equal.
When two lines intersect at any point, the vertically opposite angles are equal and are known as the vertically opposite angles.
This is because any two pairs of adjacent angles will be supplementary pairs.
B. Statement: 2. m 1 + m 4 = 180°; Reason: 2. definition of supplementary angles
What is a Linear Pair?A linear pair is a pair of adjacent, supplementary angles. Adjacent means next to each other, and supplementary means that the measures of the two angles add up to equal 180°
What are supplementary angles?Supplementary angles are two angles whose measures add up to 180 degrees.
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I need to know the price of 15% for all of them
Here is the completed table:
Name of the food Price with 15% profit
Apple (whole) $9.20
Banana (whole) $8.34
Chocolate (whole) $6.90
Chocolate chip ( 1 dozen) $5.46
Oatmeal ( 1 dozen) $5.75
Pecan (whole) $11.50
Pumpkin (whole) $13.80
Snickerdoodle ( 1 dozen) $4.89
Vanilla (whole) $5.18
What are the prices with 15% profit?Percentage is used to represent statistics. Percentage means to rewrite a number per hundred. To convert a number to percentage, multiply the number by 100. The sign that is used to represent percentage is %.
Profit is the excess of the cost of production over the price at which the good is sold.
Profit = ( 1 + targeted profit) x cost
= (1 + 0.15) x cost
1.15 x cost
Profit on Apple (whole) = 1.15 x 8 = $9.20
Profit on Banana (whole) = 1.15 x 7.25 = $8.34
Profit on Chocolate (whole) = 1.15 x 6 = $6.90
Profit on Chocolate chip ( 1 dozen) = 1.15 x 4.75 = $5.46
Profit on Oatmeal ( 1 dozen) = 1.15 x 5 = $5.75
Profit on Pecan (whole) = 1.15 x 10 = $11.50
Profit on Pumpkin (whole) = 1.15 x 12 = $13.80
Profit on Snickerdoodle ( 1 dozen)= 1.15 x 4.25 =$4.89
Profit on Vanilla (whole) = 1.15 x 4.5 = $5.18
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6.25% of what number is 7?
Answer:
Step-by-step explanation:
0.4375
Answer:
6.25%of 112 is 7
Step-by-step explanation:
hope it helps you
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3)927
Show your work
Answer:
What is the question?
Step-by-step explanation: