What's the largest fraction in each group? a. 5⁄6 and 29⁄36 b. 5⁄12 and 3⁄8 c. 2⁄5 and 19⁄45 d. 5⁄7, 13⁄14, and 19⁄21
Solution :
We have to find the largest fraction in each group.
a). [tex]$\frac{5}{6}$[/tex] and [tex]$\frac{29}{36}$[/tex]
[tex]$\frac{5}{6}$[/tex] → when we divide the number 5 with 6, we get 0.833
[tex]$\frac{29}{36}$[/tex] → when we divide 29 by 36, we get the value 0.805
Therefore, in this group, [tex]$\frac{5}{6}$[/tex] is the largest fraction.
b). [tex]$\frac{5}{12}$[/tex] and [tex]$\frac{3}{8}$[/tex]
[tex]$\frac{5}{12}$[/tex] → when we divide the number 5 with 12, we get 0.416
[tex]$\frac{3}{8}$[/tex] → when we divide 3 by 8, we get the value 0.375
Therefore, in this group, [tex]$\frac{5}{12}$[/tex] is the largest fraction.
c). [tex]$\frac{2}{5}$[/tex] and [tex]$\frac{19}{45}$[/tex]
[tex]$\frac{2}{5}$[/tex] → when we divide the number 2 with 5, we get 0.40
[tex]$\frac{19}{45}$[/tex] → when we divide 19 by 45, we get the value 0.42
Therefore, in this group, [tex]$\frac{19}{45}$[/tex] is the largest fraction.
d). [tex]$\frac{5}{7}$[/tex], [tex]$\frac{13}{14}$[/tex] and [tex]$\frac{19}{21}$[/tex]
[tex]$\frac{5}{7}$[/tex] → when we divide the number 5 with 7, we get 0.714
[tex]$\frac{13}{14}$[/tex] → when we divide 13 by 14, we get the value 0.928
[tex]$\frac{19}{21}$[/tex] → when we divide 19 by 21, we get the value 0.904
Therefore, in this group, [tex]$\frac{13}{14}$[/tex] is the largest fraction.
how many roots does this has?
x^2+(2√5x)+2x=-10
find Discriminant
Given:
The equation is
[tex]x^2+(2\sqrt{5})+2x=-10[/tex]
To find:
The number of roots and discriminant of the given equation.
Solution:
We have,
[tex]x^2+(2\sqrt{5})x+2x=-10[/tex]
The highest degree of given equation is 2. So, the number of roots is also 2.
It can be written as
[tex]x^2+(2\sqrt{5}+2)x+10=0[/tex]
Here, [tex]a=1, b=(2\sqrt{5}+2), c=10[/tex].
Discriminant of the given equation is
[tex]D=b^2-4ac[/tex]
[tex]D=(2\sqrt{5}+2)^2-4(1)(10)[/tex]
[tex]D=20+8\sqrt{5}+4-40[/tex]
[tex]D=8\sqrt{5}-16[/tex]
[tex]D\approx 1.89>0[/tex]
Since discriminant is [tex]8\sqrt{5}-16\approx 1.89[/tex], which is greater than 0, therefore, the given equation has two distinct real roots.
Five less than twice the value of a number is equal to three times the quantity of
four more than one-half the number. What is the
number?
a. Let x be the number. Write and solve an equation to find x. Show your work.
b. Does the solution of your equation solve the original problem? Explain.
Answer:
a) x = 34
b) yes, it checks out
Step-by-step explanation:
2x - 5 = 3(4 + 1/2x)
multiply both sides by 2 to eliminate fraction
2[2x - 5 = 3(4 + 1/2x)] = 4x - 10 = 24 + 3x
x - 10 = 24
x = 34
check
2(34) - 5 = 3(4 + 34/2)
68 - 5 = 3(4 + 17)
63 = 3(21)
63 = 63
need help with all 3 pleaseeee
Find the upper bound
11 cm
Diagram NOT
accurately drawn
30 cm
The cylinder has a height of 30 cm and a radius of 11 cm. Work out the total surface area of
the cylinder. Give your answer correct to 2 significant figures.
Answer:
[tex]A=2833.71\ cm^2[/tex]
Step-by-step explanation:
Given that,
The height of the cylinder, h = 30 cm
The radius of the cylinder, r = 11 cm
We need to find the total surface area of the cylinder. The formula for the total surface area of the cylinder is given by :
[tex]A=2\pi rh+2\pi r^2\\\\A=2\pi \times 11\times 30+2\pi \times (11)^2\\\\A=2833.71\ cm^2[/tex]
So, the total surface area of the cylinder is [tex]2833.71\ cm^2[/tex].
30+5z+5z=180
what is the value of z
Answer:
15
.......................
Need help big time this is due at 11:59 please help
Answer:
D) 12
Step-by-step explanation:
7 + 4 + 1 = 12
Hope that helps!
-scsb17hm
Answer:7
Step-by-step explanation:
in the pledges table on 40-49 7 people recieved more that 39 pledes
Write a numerical expression for the verbal expression. fourteen decreased by three times four
Answer: 14 - 3(4)
Step-by-step explanation:
Decreased just means subtract
Does: 2(4x + 10) = 8x + 20 has, One, None, Infinitely Many Solutions? You must show your work.
Answer:
one solution
Step-by-step explanation:
2( 4 + 1 0 ) = 8 +2 0 = 2 8 + 2 0
Subtract
from both sides of the equation
Simplify
Subtract 8 from both sides of the equation
Simplify
Divide both sides of the equation by the same term
Simplify
Solution = − 5 /2
-7<-2; add 9 to both sides the resulting inequality is
Answer:
2<7
Step-by-step explanation:
-7<=-2
-7+9<-2+9
2<7
Write an equivalent expression. -2(7+5g)
Answer:
-2(7) + -2(5g)
Step-by-step explanation:
Using the distributive property we can confirm that:
-2(7) + -2(5g) = -2(7+5g)
Answer:
−14−10g
Step-by-step explanation:
First, solve the product:
-2 ⋅ 7 - 2 ⋅ 5g
Multiply -2 times 7 to -14.
So, the equivalent expression would be:
-14 - 2 ⋅ 5g = -14 - 10g
-14 - 10g
area of 20ft and 24ft
Step-by-step explanation:
Im supposing this is a rectangle with length of 20 and width of 24, so... area is equal to lenth by width, so A=L*W or A=20*24 so the area is 480 square feet
What is 60 times 5 twelfths
Answer:
25
Step-by-step explanation:
do 60 and multipy it by 5 then 5/12
and turn it into a proper fraction
Answer:
25
Step-by-step explanation:
60 × [tex]\frac{5}{12}[/tex] = [tex]\frac{300}{12}[/tex]= 25
Triangle ABC is rotated counterclockwise using the origin as the center of rotation. The preimage and image are shown in the graph below. On a coordinate plane, triangle A B C has points (negative 4, negative 2), (negative 2, 1), (negative 2, negative 1). Triangle A prime B prime C prime has points (1.2, 4.2), (2, 1), (0, 2.9). Which rotation could have taken place?
Answer: it would be C. a 225° rotation
Step-by-step explanation: I got it correct
Answer:
C
Step-by-step explanation:
if XY=10 and YZ=8.5 then XZ must be greater that ______, and less than _____.
Answer:
Your answer is
1.5<XZ<18.5
Hope that this is helpful. Tap the crown button, Like & Follow me
select the two binomials that are factors of this trinomial.
x^2+4x-32
a. x-8
b. x+8
c. x+4
d. x-4
Answer:
b and d
Step-by-step explanation:
Sum = 4
Product = -32
Factors = 8 , (-4)
x² + 4x - 32 = x² + 8x - 4x - 4*8
= x(x + 8) - 4(x + 8)
= (x + 8)(x - 4)
On a circle, which of these is the longest?
A radius
B diameter
C chord
D circumference
Total marks: 1
Maths Watch Lid
Answer:
D
Step-by-step explanation:
that's the answer becouse other words are small
Two hundred students of a school were surveyed to find out what color to use for the school uniform. The results of the survey are shown by the following graph. What percent of students chose the color Navy Blue?
A. 12%
B. 8%
C. 32%
D. 40%
Answer:
This would be Answer C
Step-by-step explanation:
In the graph It shows you what percentage chose navy blue.
Hits 2) How many solutions does the inequality have?
A) 0
B) 1
C) 8
D) infinitely many
9514 1404 393
Answer:
D) infinitely many
Step-by-step explanation:
There are infinitely many points on any portion of the number line. The shading on the graph indicates all numbers less than or equal to 8 are solutions. There are infinitely many such numbers.
The height of a two story building is 6 meters. How tall is it in centimeters?
1 point
Answer:
600
Step-by-step explanation:
100 centimeter in 1 meter
the answer is six hundred
A family just removed a big tree from their backyard. The diameter of the circular hole left behind is 7 feet across. Approximately how many square feet of gras
area where the tree once was?
Answer:
about 38.48 square feet
Which expressions are equivalent to the one below? Check all that apply.
25%
A. 52.5*
B. 5. 52x
C. 5.5%
D. 54.5
E. (5.5)*
F 52x
Answer:
a,b,d
Step-by-step explanation: jusrt the answer, take my word u totally wont fail lol
The equivalent value of the expressions are solved by the exponents
What are the laws of exponents?When you raise a quotient to a power you raise both the numerator and the denominator to the power. When you raise a number to a zero power you'll always get 1. Negative exponents are the reciprocals of the positive exponents.
The different Laws of exponents are:
mᵃ×mᵇ = mᵃ⁺ᵇ
mᵃ / mᵇ = mᵃ⁻ᵇ
( mᵃ )ᵇ = mᵃᵇ
mᵃ / nᵃ = ( m / n )ᵃ
m⁰ = 1
m⁻ᵃ = ( 1 / mᵃ )
Given data ,
Let the exponential equation be represented as A
Now , the value of A is
A = 25ˣ
On simplifying , we get
A = ( 5 . 5 )ˣ
A = ( 25 )ˣ
And , A = 5ˣ . 5ˣ
From the laws of exponents , we get
mᵃ×mᵇ = mᵃ⁺ᵇ
A = 5²ˣ
A = 25ˣ
Hence , the expressions are ( 5 . 5 )ˣ = 5²ˣ = 5ˣ . 5ˣ = 25ˣ
To learn more about exponents click :
https://brainly.com/question/28966438
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The complete question is attached below :
Which expressions are equivalent to the one below? Check all that apply.
25ˣ
In the coordinate plane, AABC has vertices A(-4,6), B(2,6), and C(2.2).
After dilation, ADEF is shown in the plane.
What is the scale factor and the center of dilation that maps AABC to ADEF?
The scale factor is 2 and the center of dilation is point B.
The scale factor is 2, and the center of dilation is the origin.
1
O The scale factor is and the center of dilation is point B.
2
1
The scale factor is and the center of dilation is the origin.
2
9514 1404 393
Answer:
(d) scale factor 1/2; center: the origin
Step-by-step explanation:
Consider point B(2, 6). That gets dilated to make point D(1, 3). These coordinates are different, so the center of dilation is not point B. The ratios of the coordinates of D to B are 1/2 and 3/6 = 1/2. This is the scale factor k. (The coordinates of other corresponding points also have the same ratio.)
k = 1/2; dilation center: the origin
Test Prep In a jar, 25% of the marbles are red.
If there are 45 red marbles in the jar, how many marbles are in the jar altogether?
Hint
0 70
0 180
O 20
0 11.25
they
Mathematics
180 marbles are in the jar.
What is an Arithmetic operation?Combining operands with a single arithmetic operator specifies an arithmetic operation. The built-in functions ADD, SUBTRACT, DIVIDE, and MULTIPLY can also be used to specify arithmetic operations. in general, we use PEMDAS for calculating various arithmetic operations.
Given 25% of the marbels ar red. and also given 45 marble are red.
Hence Total marble will be,
Total marbles = [tex]\frac{45* 100}{25}[/tex] = 180.
Therefore the total number of marbles in the jar is 180.
Learn more about arithmetic operations here:
https://brainly.com/question/25834626
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Given triangle ABC, if angle A = 40, a = 65, and angle B = 25. what is the
length of b?
Answer:
x=50
Step-by-step explanation:
40+65+25+x=180
Combine like terms
130+x=180
x=50
(triangles = 180)
Susan made 2 identical necklaces, each having beads and a pendent. The total cost of the beads and pendents for both necklaces was $9.80. If the beads cost a total of 3.40, how much did each pendant cost?
Step-by-step explanation:
$ 3.15 each pendents .......
what is the area of a rectangle if the length is (4x + 2) cm and a width of (5x – 3) cm
Answer:
20x^2−2x−6
Step-by-step explanation:
(4x+2)(5x+−3)
=(4x)(5x)+(4x)(−3)+(2)(5x)+(2)(−3)
=20x2−12x+10x−6
=20x2−2x−6
5x - 2y = 18
-5x + 3y = -22
hi hi!! please help, it’s 8th grade algebra
Evaluate the following expression:
(16 - 2*2*2) / (12-5*2)
(give answer as a
number... NO WORDS)
Your answer:
Answer:
4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
(16 - 2*2*2)/ (12-5*2)
(16 - 8)/(12-10)
8/2
4
Sorry, if this doesn't help.