Answer:
The author helps persuade readers that math is fun by showing the number devil doing math in clever ways. The author also shows how Robert becomes less afraid of math. Readers can relate to this message and might be convinced to like math more themselves.
Step-by-step explanation:
sample response
Author helps persuade readers that math is fun by showing the number devil doing math in clever ways.
What is Mathematics?Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes.
The author helps persuade readers that math is fun by showing the number devil doing math in clever ways.
The author also shows how Robert becomes less afraid of math.
Readers can relate to this message and might be convinced to like math more themselves.
Hence, author helps persuade readers that math is fun by showing the number devil doing math in clever ways.
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If 2(x+5)=7x-5, then what is the value of 2X squared +10
Answer:
28
Step-by-step explanation:
in order to evaluate for the value of x from this 2(x+5)=7x-5 , we will open the bracket and the evaluate for x.
solution
2(x+5)=7x-5
2x + 10 = 7x - 5
collect the like terms together
2x + 10 +5 = 7x
15 = 7x - 2x
15 = 5x
divide both sides by 5
15/5 = 5x/5
3 = x
x =3
so, to evaluate for 2x² + 10
will be
2x² + 10
2 (3)² + 10
2 x 9 + 10
18 + 10
28
HURRRRRRRRRRRYYY PLEASE!Brainlest
What do you know about the scale factor for the dilation shown? Explain.
The scale factor is some number between 0 and 1 (not including either endpoint) because the image is smaller than the preimage.
Triangle ABC is the preimage, or the "before"; while triangle A'B'C' is the image, which is the "after".
preimage ----> image
before ----> after
Answer:
he scale factor is some number between 0 and 1 (not including either endpoint) because the image is smaller than the preimage.
Triangle ABC is the preimage, or the "before"; while triangle A'B'C' is the image, which is the "after".
Step-by-step explanation:
what does y equal in this equation 5(y+2/5)=-13
Steps to solve:
5(y + 2/5) = -13
~Distributive Property
(5 * y) + (5 * 2/5) = -13
~Simplify
5y + 2 = -13
~Subtract 2 to both sides
5y + 2 - 2 = -13 - 2
~Simplify
5y = -15
~Divide 5 to both sides
5y/5 = -15/5
~Simplify
y = -3
Best of Luck!
Use the graph to identify the independent and the dependent variable. Check all that apply. The two variables are Eli and 5. The two variables are meters and seconds. Meters are graphed on the x-axis. Meters are graphed on the y-axis. Seconds is the independent variable. Seconds is the dependent variable.
Answer: B D E
Step-by-step explanation:
Answer:
bde
Step-by-step explanation:
The vertex form of the equation of a parabola is x = (y - 3)2 + 41.
What is the standard form of the equation?.
O A. x = y2 + 6y+41
O B. x = y2-6y+ 50
O c. x= y2 +y+22
O D. x = 3y2 - 6y + 50
Answer:
B
Step-by-step explanation:
x = (y - 3)² + 41 ← expand factor using FOIL
x = y² - 6y + 9 + 41 ← collect like terms
x = y² - 6y + 50 → B
Wallace is a book editor. He uses the function c(x) = 3.5x to determine the amount he will charge, in dollars, to edit a book with x pages. Which statement best explains what the range of Wallace’s function is? *
The range is all integers because a book must have a positive or negative, whole number of pages.
A.The range is all integers because a book must have a positive or negative, whole number of pages.
B.The range is all positive whole numbers because a book must have a positive, whole number of pages.
C.The range is all positive or negative multiples of 3.5 rounded to the nearest hundredth because the amounts charged are represented as dollars and cents.
D.The range is all positive multiples of 3.5 rounded to the nearest hundredth because the amounts charged are represented as dollars and cents.
Answer:
D.The range is all positive multiples of 3.5 rounded to the nearest hundredth because the amounts charged are represented as dollars and cents.
Step-by-step explanation:
The domain of a function c(x) is the set of all values, x for which the function f is defined, while the range of the function is the set of all values that c takes.
If the Book Editor , Wallace uses the function c(x) = 3.5x to determine the amount he will charge, in dollars, to edit a book with x pages. The statement that best explains the range of his function is Option D.
This is as a result of the fact that, although the number of pages,x will be positive whole numbers, multiplying x by 3.5 makes the function c(x) a positive multiple of 3.5.
Since c(x) is in dollars, we round it up to the nearest cent (hundredths).
Solve and check. Identify any extraneous solutions.
Answer:
w=1 There are no extraneous solutions
Step-by-step explanation:
Multiply each side by 10w
10w ( 5/2w - 3/5w ) = 19/10 * 10w
Distribute
5*5 - 3*2 = 19w
25-6 = 19w
19 = 19w
Divide each side by 19
19/19 = 19w/19
1= w
31 workers are working on a construction site. 5 more workers work for company A than for company B. How many workers work for each company?
25pts
Answer:
18 work for company A and 13 for company B
Step-by-step explanation:
Company A = A
Company B = B
A = B + 5
A + B = 31
B + 5 + B = 31
2B + 5 = 31
2B = 26
B = 13 -->
A = 13 + 5
A = 18
The associative property states that you can
A
multiply or add terms in any order.
distribute the multiplier over the addends.
C
break down large numbers into smaller numbers.
group terms using parentheses to add or multiply
Answer:
add or multiply regardless of how the numbers are grouped.
Step-by-step explanation:
Kyle performs a transformation on a triangle. The resulting triangle is similar but not congruent to the original triangle. Which transformation did Kyle perform on the triangle
Answer:
dilation
Step-by-step explanation:
The transformation that Kyle performed to make a triangle similar but not congruent is dilation. This changes the size of a figure, but not its shape.
Explanation:If a triangle undergoes a transformation and results in a similar but not congruent shape, it likely underwent a dilation. A dilation is a transformation that alters the size of a figure without changing its shape. Dilations can either reduce or enlarge a shape based on a scale factor. If the scale factor is greater than 1, the figure will enlarge. If it is less than 1, the figure will reduce.
For example, if Kyle dilated a triangle with a scale factor of 2, the triangle would double in size but still remain similar to the original triangle. However, because its size has increased, it is not congruent with the original triangle.
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Which describes the amount of product a seller is able to make?
O
A. Market
O B. Demand
O C. Supply
O D. Can't tell
Supply describes the amount of product a seller is able to make.
What is Demand and Supply?Demand is defined as the amount of product that the consumers or buyers is going to buy.
Supply is defined as the amount of product that the producers or sellers is going to make to sell.
Market is the place where the demand and supply meet. That is, sellers and buyers will be meeting at the market.
From the definition, it is clear that demand is related to buyers than the sellers.
So demand is the quantity that the buyers buy.
So supply is referred to as the quantity that the seller is going to make.
Hence the best description for the amount of product a seller is able to make is supply.
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Find the volume of the figure.
A brick patio measures 10ft by 12ft by 4in. Find the volume of the bricks. If the density of brick is 130 pounds per cubic foot, what is the weight of the patio in pounds?
Final answer:
The volume of the brick patio is 40 cubic feet, and by using the density of brick (130 pounds per cubic foot), the weight is found to be 5200 pounds.
Explanation:
To find the volume of the brick patio, we multiply its length, width, and height, keeping in mind to convert all dimensions to the same unit. The brick patio measures 10ft by 12ft by 4in. Since 1 foot is equal to 12 inches, the height in feet is 4in * (1ft / 12in) = 1/3 ft. Now, the volume can be calculated as follows:
Volume = Length × Width × Height
Volume = 10ft × 12ft × (1/3)ft
Volume = 120ft × (1/3)ft
Volume = 40 cubic feet.
To find the weight of the patio, we use the given density of brick, which is 130 pounds per cubic foot, and the volume that we have just calculated:
Weight = Density × Volume
Weight = 130 lbs/ft³ × 40 ft³
Weight = 5200 pounds.
The weight of the brick patio is therefore 5200 pounds.
Peter is a revenue manager of a 300-room hotel. Over this past weekend (including both Saturday and Friday evenings) he sold 450 of his guestrooms with an average daily rate (ADR) of $300.00. What was his hotel's RevPAR for the past weekend?
Answer:
200
Step-by-step explanation:
Total room =300
Sold room =450
Dally Average Rate =.300
Calculation of revised PAR
=300*300/450
=90,000/450
=200
+254726755163 (For assignment help and course work)
Answer:
$225
Step-by-step explanation:
Revenue per available room was ...
($300/room sold)(450 rooms sold)/((300 rooms/night)(2 nights))
= $(300·450/(300·2) = $(450/2)
= $225
A student answered this story problem. Use estimation to check the student's answer. Lizzie has $49. Her older sister has $184. How much money do they have altogether? Student's answer: They have a total of $233. Which estimate is correct and was the student's answer reasonable?
Answer:No the student was not right.Neither of the estimations were right because she did not estimate at al.
Step-by-step explanation:
1.Round 49 to the nearest ten: 50.
2.Round 184 to the nearest ten:180.
3.Add 50+180 to get 230.
The student was not right because she did not estimate 49 nor 184.
Find the value of the expression. Left-bracket (three-fifths) Superscript 0 Right-bracket Superscript negative 2 The value is .
Answer:
1
Step-by-step explanation:
Answer:
answer in picture as well
1
Step-by-step explanation:
Which is more, 5 meters or 500 centimeters
Answer:
They are the same
Step-by-step explanation:
1 meter = 100 cm,
5 meters = 500 cm.
Answer:
5 m = 500 cm
Step-by-step explanation:
1 m = 100 cm
5m = 5 x 100 cm = 500 cm
Last quarter, 84 seventh grade students
made honor roll. If there are 400 students in
the seventh grade, what percent made
honor roll?
Answer:
21%
Step-by-step explanation:
okay so 400 is your denominator, and 84 is your numerator, so divide 400 by 4 so you get 100, because your percentage should be out of 100. because you divided 400 by 4, you also have to do that for 84, giving you 21 out of 100. converted to a decimal its .21, or 21%
Final answer:
To find the percentage of seventh grade students who made honor roll, a proportion is used, yielding a result of 21 percent.
Explanation:
To calculate the percentage of seventh grade students who made honor roll, we can set up a proportion where 84 students is to 400 students as x percent is to 100 percent. The proportion can be written as 84/400 = x/100. To find x, we cross-multiply and solve for x.
First, cross-multiply: 84 * 100 = 400x. This gives us 8400 = 400x. Next, divide both sides of the equation by 400 to solve for x: 8400 / 400 = x. This results in x being equal to 21. Therefore, 21 percent of the seventh grade students made honor roll.
A water tank is in the shape of a cylinder with a diameter of 20 feet and
a height of 20 feet. The tank is 70% full. About how many gallons of
water are in the tank? Round your answer to the nearest whole number.
Answer:
The amount of gallons rounded to a whole number is 32970 gallons.
Answer:
The amount of gallons rounded to a whole number is 32970 gallons.
Step-by-step explanation:
A concession stand sells hamburgers (h) for $2 and hotdogs (d) for $1. On Friday night they sold a total of 300 hamburgers and hotdogs and made $420. How many of each did they sell?
Which system of equations matches the situation?
Answer:
the correct system of equations is the first one.
Step-by-step explanation:
h+d=300
2h+d=420
Which type of triangle can have only acute angles?
equilateral
isosceles
scalene
Answer:
Equilateral triangles can have only acute angles because acute angles means less than 90° so every angles in equilateral triangle have 60°
Point S is on line segment RT. Given ST = 17 and RS = 2, determine the length
RT.
Answer:
19
Step-by-step explanation:
The length of line segment RT is found by adding the lengths of the segments RS and ST. Given RS=2 and ST=17, we find that RT=2+17=19.
Explanation:In this problem, we are dealing with segments on a line. There is a concept in mathematics that's relevant here: the Whole is the sum of its parts. When you have a line divided into segments (parts), the length of the whole line is the sum of the lengths of these parts. Here, line segment RT is divided into two parts - RS and ST.
We know that RS = 2 (given) and ST = 17 (also given). Therefore, the length of line segment RT is the sum of RS and ST. RT = RS + ST = 2 + 17 = 19. So, the length of RT is 19 units.
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Find the length of side A on a triangle where side B is 4 and side C (the hypotenuse) is 5.
A) 4
B) 5
C) 3
D) 2
Answer:
Your answer is: C) 3
Step-by-step explanation:
The formula used to find side A in this problem is called the Pythagorean Theorum. The formula is as follows: a = the square root of c squared minus b squared. Or, you can say that the hypotenuse is equal to: c = the square root of a squared and b squared added together. This might sound confusing in the start, but here's all you have to do. c^2 = 25. 4^2 = 16. 25 - 16 = 9. The square root of 9 = 3. C) 3 is your answer.
2) The triangles are similar. Find the similarity ratio of the first triangle to the 1 point
second triangle. Show Work. *
F 4 RD 6 A
105
Given:
Triangles FRI and DAY are similar.
To find:
Similarity ratio
Solution:
If two triangles are similar then the corresponding angles are congruent and the corresponding sides are in proportion.
Here, FR and DA are corresponding sides.
[tex]$\Rightarrow \frac{FR}{DA} =\frac{4}{6}[/tex]
Cancel the common factors of 4 and 6, we get
[tex]$\Rightarrow \frac{FR}{DA} =\frac{2}{3}[/tex]
⇒ FR : DA = 2 : 3
⇒ ΔFRI : ΔDAY = 2 : 3
Similarity ratio of the first triangle to the second triangle is 2 : 3.
The similarity ratio should be 2:3
Calculation of the similarity ratio;In the case when two triangles are same so the corresponding angles are congruent and the corresponding sides should be in proportion.
So,
[tex]FR \div DA = 4\div 6[/tex]
FR:DA = 2:3
Based on the above calculations, we can say that the ratio of first triangle to the second triangle should be 2:3
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Convert:
? kilometers = 10,000 meters
Step-by-step explanation:
[tex]1km = 1000m \\ x = \frac{10000}{1000} \\ x = 10km[/tex]
Answer:
1
Step-by-step explanation:
IT means that that 1km is =10000m
Estimate the quotient by rounding each number to the nearest whole number. 33.7/ 9.5
Answer: 34/10=3.4 The estimated quotient is 3.4
Step-by-step explanation: Basically, you are dividing 33.7 by 9.5, but first you will need to round to the nearest whole number. A whole number does not contain a decimal. 33.7 rounded to the nearest whole number is 34. 9.5 rounded to the nearest whole number is 10. So, you are dividing 34 by 10. 34 divided by 10 is 3.4.
The quotient of 33.7/9.5, rounded to the nearest whole number is: 4.
What is Quotient of Two Numbers?Quotient of a two numbers, "a" and "b" equals a/b.Quotient means division.Therefore, the quotient between 33.7 and 9.5 would be:
33.7/9.5 = 3.547 (division).
We are asked to round to the nearest whole number.
Therefore, the quotient of 33.7/9.5, rounded to the nearest whole number is: 4.
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A basketball player has 45 steals, 72 assists, 90 rebounds, and 432 points. What is
the ratio of rebounds to steals?
оооо
Answer:
5:24
Step-by-step explanation:
We're provided with the number of rebounds as 90 while the points are 432. Expressing them into ratio of rebounds to steals we have
90:432
Simplification:
Dividing both sides by 2 we obtain
45:216
Dividing both sides of the above ratio by 3 we obtain
15:72
Dividing both sides of the above ratio further by 3 we obtain
5:24
Therefore, rhe simplified ratio of rebounds ro steals is 5:24
Which equation in point-slope form describes the line through points (4, –4) and (1, 2)?
Step-by-step explanation:
Given points (4 , -4) and ( 1, 2)
First calculating slope (m)
=( y2 - y1) /( x2 -x1)
= ( 2 + 4) / (1-4)
= 6/ -3
= -2
Now
The equation in point slope form
y - y1 = m ( x - x1)
y + 4 = -2 ( x - 4)
y + 4 = -2x + 8
2x + y - 8 + 4 = 0
2x + y -4 = 0 which is the required equation
PLS HELP ASAP LIKE PLSSSSS
.............................
HELP QUICK PLS, For each of the figures, write Absolute Value equation in the form
x−c=d, where c and d are some numbers, to satisfy the given solution set.
x= -8, and x= -4
a) The absolute value equation is |x - 11| = 6.
b) The absolute value equation is |x - 0| = 1/2, which simplifies to |x| = 1/2.
To write the absolute value equation in the form |x - c| = d for the given solution sets, we need to find the midpoint (c) between the two values and the distance (d) from the midpoint to either of the values.
b) For the solution set x = 5, x = 17:
Midpoint (c) = (5 + 17) / 2 = 22 / 2 = 11
Distance (d) from the midpoint to either value (e.g., 5) = |5 - 11| = 6
So, the absolute value equation is |x - 11| = 6.
d) For the solution set x = -1/2, x = 1/2:
Midpoint (c) = (-1/2 + 1/2) / 2 = 0 / 2 = 0
Distance (d) from the midpoint to either value (e.g., 1/2) = |-1/2 - 0| = 1/2
So, the absolute value equation is |x - 0| = 1/2, which simplifies to |x| = 1/2.
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Question
HELP QUICK PLS, For each of the figures, write Absolute Value equation in the form
|x−c=d|, where c and d are some numbers, to satisfy the given solution set.
a) x=5, x=17
b) x=-1/2, x=1/2
Please help!
The width of a rectangle is one-fifth of its perimeter. If the length of the rectangle is 15 inches, what is its width in inches?
Answer:
10 inches
Step-by-step explanation:
w = 1/5 P
Multiply each side by 5
5w = 1/5P *5
5w =P
We know the perimeter of a rectangle
P = 2(l+w)
We can set the two equations equal
5w = 2 (l+w)
l =15 inches
We can substitute 15 in for the length
5w = 2(15+w)
Distribute
5w = 30 +2w
Subtract 2w from each side
5w -2w = 30+2w-2w
3w =30
Divide each side by 3
3w/3 = 30/3
w =10
The width is 10 inches
The formula for perimeter is: P=2W+2L
Rewrite as: 2W = P-2L
Divide all terms by 2: P/2-L=W
Width is 1/5p, replace W in the equation: P/2-L= 1/5P
Multiply each term by 10: 5P-10L=2P
Subtract 2p from both sides and add 10L to both sides: 3P=10L
Lenght is given as 15 inches, replace L with 15 and multiply: 3P=150
Divide both sides by 3: P=50
W=1/5P = 10 inches