Answer:
The statement "(a) all whole numbers are rational numbers" is true.
Step-by-step explanation:
A rational number is the number which can be expressed in the from of [tex]\frac p q[/tex], where p, q are integers and q\neq0.
(a.) As all the whole numbers (0,1,2,3...) can be expressed in the form of p/q having q=1.
Hence, the statement "(a) all whole numbers are rational numbers" is true.
(b). As the rational numbers can have the fractional value but any integers don't have fractional value, so all the rational numbers are not integers.
Hence, the statement "(b). All rational numbers are integers" is not true.
(c). As the rational numbers can have the fractional value but any whole numbers don't have fractional value, so all the rational numbers are not whole numbers.
Hence, the statement "(c). All rational numbers are whole numbers." is not true.
(d). Integers( ...,-2,-1,0,1,2,...) can be negative, but the whole numbers (0,1,2,...) can't be negative. So, all integers can't be whole numbers.
Hence, the statement "(d). All integers are whole numbers" is not true.
Answer:
A
Step-by-step explanation:
7. In order to join a dance team, the team requires a one-time $30 startup fee to cover uniforms as well as a monthly fee of $4. What is the slope of this scenario?
Answer: the slope is 34
Step-by-step explanation:
2 right triangles have identical angle measures but different side lengths. The first triangle has side lengths of 6, 10, 8 and the second triangle has side lengths of 3, 5, 4. Which transformation maps the large triangle onto the small triangle?
Answer:
The transformation is 0.5
Step-by-step explanation:
The lengths of the second triangle is just half the length of the first triangle, from the center. As it is just resizing, the angles would not change, resulting in the same triangle, except for size.
Answer:
A- Dilation
Step-by-step explanation:
It doubles the length for all sides of the small traingle.
answer this i need it quick PLEASE
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[tex] \frac{13x - 37}{2} = 2x + 13 \\ [/tex]
Multiply sides by 2
[tex]2 \times \frac{13x - 37}{2} = 2 \times (2x + 13) \\ [/tex]
[tex]13x - 37 = 4x + 26[/tex]
Subtract sides 4x
[tex] - 4x + 13x - 37 = - 4x + 4x + 26 \\ [/tex]
[tex]9x - 37 = 26[/tex]
Add sides 37
[tex]9x - 37 + 37 = 26 + 37[/tex]
[tex]9x = 63[/tex]
Divide sides by 9
[tex] \frac{9x}{9} = \frac{63}{9} \\ [/tex]
[tex]x = 7[/tex]
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[tex]DE = 2x + 13[/tex]
[tex]DE = 2(7) + 13[/tex]
[tex]DE = 14 + 13[/tex]
[tex]DE = 27[/tex]
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The correct answer is Option four .
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A road is 4/7
of a mile long. A crew needs to repave 4/7 of the road. How long is the section that needs to be repaved?
Write your answer in simplest form.
Answer:
hello
Step-by-step explanation:
pls help me in this
[tex]A=\frac{3\sqrt{3}}{2}(8)^2=\boxed{96\sqrt{3} \text{ cm}^2}[/tex]
PLZZZZ HELPPPP THIS IS TIMED!!!
Are the two figures below similar?
A No, the sides are not proportional.
B Yes, the sides are proportional.
C Yes, the sides are congruent.
D No, the sides are not congruent.
Answer:
C. C Yes, the sides are congruent.
find the hcf of 225 and 270 by Euclid method
Answer:
GCF = 45
Explanation:
GCF = 45
LCM is 1350
View Solution
GCF of (225,270) by Euclidean algorithm Method
Sort the numbers into ascending order: 225,270
Take the smallest number (225) as your divisor
Work out the modulo operation of the remaining number(s) and the divisor:
270 mod 225 = 45
Gather the divisor and all of the remainders and sort them in ascending order. Remove any duplicates. Our set is then:
45,225
Take the smallest number (45) as your divisor
Work out the modulo operation of the remaining number(s) and the divisor:
225 mod 45 = 0
Gather the divisor and all of the remainders and sort them in ascending order. Remove any duplicates. Our set is then:
45
As there is only one number left (the divisor), it's the Greatest Common Factor
Therefore the Greatest Common Factor of 225,270 is: 45
Given the figure above, determine
Answer:
The ∠B is 60*
Step-by-step explanation:
Find the slope of the line through the given points: (1, 5) & (4, 7).
Answer:
[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Find slope using the slope formula: [tex]\frac{y2-y1}{x2-x1}[/tex]
Plug in the given points : [tex]\frac{7-5}{4-1}[/tex]
Calculate by subtracting the numbers : [tex]\frac{2}{3}[/tex]
Solution : [tex]\frac{2}{3}[/tex]
Carlos alquiló un auto por un día. La tarifa mínima es $595.00 , con un cargo adicional de $8.40 por cada kilómetro que maneje. Carlos pagó $2711.80 cuando entregó el auto. ¿Qué cantidad de kilómetros manejó?
Answer:
Carlos manejo 252 kilómetros.
Step-by-step explanation:
Dada la siguiente información:
Tarifa fija= $595
Tarifa varaible= $8.4 por km
Costo total= $2,711.8
Primero, establecemos la formula de costo total:
Costo total= tarifa fija + tarifa variable*número de km
Reemplazamos:
2,711.8 = 595 + 8.4x
2,711.8 - 595 = 8.4x
2,116.8/8.4=x
252= x
Carlos manejo 252 kilómetros.
someone knows what number multiplied twice by the same can give me results 203!!!!!
Answer:
i will help you.......
Carlos is making party favors. Every bag has exactly the same treats in it. Carlos has 96 granola bars and 64 popcorn balls. What is the greatest number of party favors Carlos can make?
Answer:
32
Step-by-step explanation:
Given that:
Number of granola bars = 96
Number of popcorn balls = 64
Greatest number of party favors that can be made from granola bars and popcorn balls ;
Obtain the greatest common factor of both 96 and 64
Factors of :
96 : 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96
64 : 2, 4, 8, 16,32
greatest common factor is 32,
Hence, greatest number of party favors that can be made is 32
write the equation for the graph. make sure to include + or - signs to indicate if your number is positive or negative
Answer:
- 3 and - 2
Step-by-step explanation:
y = | x - 3 | - 2
The height of each window
is 18 inches, and the width is 11 inches. If the height of the building is 126 feet, what is the width of
the building?
Answer:
66 ft
Step-by-step explanation:
It is given that the windows on a building are proportional to size of the building.
Height of each window = 18 in
Width of each window = 11 in
Height of the building = 108 ft
Let the width of the building be x.
Since windows on a building are proportional to size of the building, therefore
On cross multiplication we get
Divide both sides by 18.
Answer:
66 ft
Step-by-step explanation:
What your doing is setting up a proportion that of the windows(18x11) dimensions and the buildings(108xW) dimensions.
So it would be 18/11=108/x
you would cross multiply so you would have 11x108 (1188)= 18x
Divide by 18 so x=66
What is the difference between 216 and 125?
O A. 1
OB. 4
O C. 4.5
OD. 30.3
O E. 91
Using a scientific calculator or graphing calculator find the inverse tangent of the ratio. Round to the nearest degree. 3/8
a.
21°
b.
22°
c.
68°
d.
37°
Answer: A
Step-by-step explanation:
I plugged 3/8 into an inverse tangent calculator and got this answer.
how to find the slope
Answer:
m= [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Step-by-step explanation:
use this formula if you're having two points or a graph
the window of a room is 20m long and 14m wide. if the carpenter works to put a metallic frame around it which cost Rs.120 per metre, then how much will the metallic frame cost.
Answer:
33,600
Step-by-step explanation:
length=20m
wide=14m
area= 28m²
1m= 28
cost = 120*28= rs33600 per m²
Mr. Hernandez bought 16 meters of chain-link fencing. The section of his yard that needs to be fenced is 50 feet long. Did Mr. Hernandez buy enough fencing or does he need more fencing? (1 meter = 3.28 feet)
Answer:
yes
Step-by-step explanation:
i multiply the 16 to the ratio of meters to feet and got 52.4934
Solve the system by elimination
-6x + 6y = 0
9x - 8y = 4
Answer:
Point form: (4, 4)
x = 4, y = 4
Solve for x:
5x - (x + 4) + 1 = 3 - 2(x + 6)
Answer:
x = -1
General Formulas and Concepts:
Pre-Alg
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
5x - (x + 4) + 1 = 3 - 2(x + 6)
Step 2: Solve for x
Distribute: 5x - x - 4 + 1 = 3 - 2x - 12Combine like terms: 4x - 3 = -2x - 9Add 2x on both sides: 6x - 3 = -9Add 3 to both sides: 6x = -6Divide both sides by 6: x = -1Step 3: Check
Plug in x to verify it's a solution.
Substitute: 5(-1) - (-1 + 4) + 1 = 3 - 2(-1 + 6)Parenthesis (Add): 5(-1) - 3 + 1 = 3 - 2(5)Multiply: -5 - 3 + 1 = 3 - 10Subtract: -8 + 1 = -7Add: -7 = -7Rearrange to make x the subject: 3x+8= has x+6y
Answer:
x=3y-4
Step-by-step explanation:
3x+8=x+6y
so the goal here is to make everything equal to x. first, let's move all the X's to one side by subtracting x on both sides.
2x+8=6y
now we want x alone on one side so we subtract 8 on both sides.
2x=6y-8
divide by 2
x=3y-4
Answer:
x = 3y - 4
Step-by-step explanation:
Given
3x + 8 = x + 6y ( subtract x from both sides )
2x + 8 = 6y ( subtract 8 from both sides )
2x = 6y - 8 ( divide all terms by 2 )
x = 3y - 4
what has the product of 54 and sum of -15
Answer:
It should be
product = -9 and sum = -6
Step-by-step explanation:
Your welcome
please help me. It's urgent
Answer:
a) 7/5
Step-by-step explanation:
[tex]y-\frac{y-1}{2}=1-\frac{y-2}{3} \\Through\ the\ butterfly\ method\ of\ resolving\ denominators\ ,\\\frac{2y-(y-1)}{2} = \frac{3-(y-2)}{3} \\\frac{2y-y+1}{2} = \frac{3-y+2}{3} \\\frac{y+1}{2} =\frac{5-y}{3} \\3(y+1)=2(5-y)\\3y+3=10-2y\\3y+2y=10-3\\5y=7\\y=\frac{7}{5}[/tex]
if you spun the spinner 100 times would you expect it to land on red
How many colors are there in total?
can someone pls help Write the following equation as a sentence: w = (15)(165)
Answer:
width equals fifteen times one hundred sixty five
is that right or is that ok or good enough?? sorry if i am wrong....
Answer:
W = 2475
Step-by-step explanation:
I am not sure if you want the answer or not but I hope this helps
I have a radius of 35ft, what is the diameter ?
I have a radius of 15 mm, what is the diameter ?
Answer:
r=35ft, d=70ft. when r=15 mm, d=30mm
Step-by-step explanation:
Radius is half of diameter
Find the slope of a line that contains J(-10, -7) and K(-4, 1).
Answer: [tex]\frac{4}{3}[/tex]
Step-by-step explanation:
if [tex](x_{1},y_{1}), (x_{2},y_{2}),[/tex] slope=[tex]\frac{(y_{2}-y_{1})}{(x_{2}-x_{1})}[/tex]
J(-10, -7) K(-4, 1), so [tex]\frac{1-(-7)}{-4-(-10)} =\frac{8}{6}=\frac{4}{3}[/tex]
Which of the following coordinates represents a solution to the equation 3x-2y=6?
3, -2
2, -3
0, -2
(0, -3)
Answer:
2,-3
Step-by-step explanation:
PLEASE HELP! I WILL MARK BRAINLIEST!!!
Expand 4(-2y + 3).
-8y + 12
2y + 7
-8y + 3
2y + 12
Answer:
-8y+12
Step-by-step explanation:
4(-2y +3)
you can distribute the 4
4 • -2y + 4 • 3
= -8y +12
because they are not like terms, you cannot do anything further.
