Answer:
5
Step-by-step explanation:
5 is the GCF, because all 3 of those numbers can be divided by 5! Hope this helped!
From all the factors, we can see that 5 is the only common factor, hence the greatest common factor of 20, 30, and 55 is 5
For us to get the greatest common factor of 20, 30, and 55, we need to get their individual factor first as shown:
20 = 5 * 4
30 = 5 * 6
55 = 5 * 11
From all the factors, we can see that 5 is the only common factor, hence the greatest common factor of 20, 30, and 55 is 5
Learn more: brainly.com/question/219464
The ratio of the number of boys to the number of girls at your school is 5 to 8. Which statements are accurate according to this ratio?
a. If a class has 16 girls it is reasonable to expect there are approximately 10 boys in the same class.
b. In a group of 52 students about 20 are boys.
c. The ratio of girls to total students is 8 to 13.
d. The Algebra class has 24 girls and 16 boys. This is the same ratio as girls to boys in the school.
e. If there are 208 students in the school it is reasonable to expect there are 128 girls.
Please help!!
The ratio of the number of boys to the number of girls at your school is 5 to 8. Which statements are accurate according to this ratio?
The ratio of number of boys to girls is [tex]\frac{5}{8}[/tex]. That means:
[tex]\frac{boys}{girls} =\frac{5}{8}[/tex]
Let's look at the first choice.
a. If a class has 16 girls, it is reasonable to expect there are approximately 10 boys in the same class.
Make the amount as a fraction with boys over girls.
[tex]\frac{boys}{girls} =\frac{10}{16}[/tex]
10 and 16 can be simplified. The greatest common factor of 10 and 16 is 2, so divide by 2.
[tex]\frac{boys}{girls} =\frac{10 \div 2}{16 \div 2} =\frac{5}{8}[/tex]
Since the ratio is the same, choice a is correct.
Let's move onto the second choice.
b. In a group of 52 students, about 20 are boys.
If 20 students are boys, then the amount of girls is equal to 52 - 20, which is 32. Make the amount as a fraction with boys over girls.
[tex]\frac{boys}{girls} =\frac{20}{32}[/tex]
20 and 32 can be simplified. The greatest common factor of 10 and 16 is 4, so divide by 4.
[tex]\frac{boys}{girls} =\frac{20 \div 4}{32 \div 4}=\frac{5}{8}[/tex]
Since the ratio is the same, choice b is correct.
Let's go to the third choice.
c. The ratio of girls to total students is 8 to 13.
If the ratio of girls to total students is 13, that means there are 8 girls. The number of boys can be found by subtracting 8 from 13, which is 5. Make the amount as a fraction with boys over girls.
[tex]\frac{boys}{girls} =\frac{5}{8}[/tex]
Since the ratio is the same, choice c is correct.
Let's go to the fourth choice.
d. The Algebra class has 24 girls and 16 boys. This is the same ratio as girls to boys in the school.
Make the amount as a fraction with boys over girls.
[tex]\frac{boys}{girls} =\frac{16}{24}[/tex]
16 and 24 can be simplified. The greatest common factor of 16 and 24 is 8, so divide by 8.
[tex]\frac{boys}{girls} =\frac{16 \div 8}{24 \div 8} =\frac{2}{3}[/tex]
Since the ratio is not the same, choice d is not correct.
Lastly, the fifth choice.
e. If there are 208 students in the school, it is reasonable to expect there are 128 girls.
If there are 128 girls out of 208 students, the number of boys can be found by subtracting the number of girls from the amount of total students. 208 - 128 is 80, so there are 80 boys. Make the amount as a fraction with boys over girls.
[tex]\frac{boys}{girls} =\frac{80}{128}[/tex]
80 and 128 can be simplified. The greatest common factor of 80 and 128 is 16, so divide by 16.
[tex]\frac{boys}{girls} =\frac{80 \div 16}{128 \div 16}=\frac{5}{8}[/tex]
Since the ratio is the same, choice e is correct.
choice a ✔
choice b ✔
choice c ✔
choice d x
choice e ✔
Your answer is choice a, b, c, and e.
Which set of transformations would prove triangle GFE ~ triangle GHI?
Answer:
Dilation of 1/2 and then a reflection over y=2
Answer:
reflect GHI over x= -2, and dilatate G'H'I' by a scale factor of 2 from point G
Step-by-step explanation:
EFG is turned the other way, meaning that GHI was flipped. because EFG is bigger, and having a scale factor that's a whole number means it gets bigger, then this answer is correct because its both bigger and flipped in the picture.
Please helpp
Determine whether the sequence of mapping rules will lead to the image being congruent to the pre-image (x, y) -> (x - 2, y)
No or yes if yes then is it a translation or reflection, if no then will it be small or with the size of the pre image be changed?
Answer:
translation, pre-image wouldn't change
Step-by-step explanation:
a car dealership sells 120 cars in april, in may they want to increase that number by 15%, How many cars will they need to sell?
Answer:
138 cars.
Step-by-step explanation:
15 percent is .15 decimal form.
Multiply the two and add.
120*.15 is 18 120+18 is 138.
Please Answer The Question Correctly!!!!!!!!!!!!!!!!
Answer:
a is not a function and the rise over run of b is 1/1Step-by-step explanation:
3 has two outputs in a
The Daily Info charges a fee of plus per week to run an ad. The People's Paper charges per week. Write an inequality to represent the number of weeks an ad must run for the total cost at the Daily Info to be less expensive than the cost at the People's Paper. Let w be the number of weeks the ad runs in the paper.
Complete question :
The Daily Info charges a fee $650 of plus $80 per week to run an ad. The People's Paper charges $145 per week. Write an inequality to represent the number of weeks an ad must run for the total cost at the Daily Info to be less expensive than the cost at the People's Paper. Let w be the number of weeks the ad runs in the paper
Answer:
650 + 80w < 145w
Step-by-step explanation:
Given that :
Number of weeks ad will run = w
Daily Info total cost :
650 + 80w
The People's Paper total cost:
145w
Number of weeks ad should run For cost at daily info to be less expensive than peoples choice';
Daily Info total cost < people's choice
650 + 80w < 145w
650 < 145w - 80w
650 < 65w
650/65 < 65w / 65
10 < w
w > 10
please help asap..........
Answer:
it would be the first one and the 4th one
Step-by-step explanation:
AEHG=AKFC
Which is a true statement?
Answer:
aehg yez
Step-by-step explanation:
f ff ff f. fg f f g t t t t t t t t t t t t t t
Answer:
EHG=KFC
Step-by-step explanation:
Solve for x in the literal equation −14 = xy + z.
x =
Step-by-step explanation:
answers...................
What is the least common multiple (LCM) of 15, 24 and 27?
Answer:
1080
Step-by-step explanation:
Find and list multiples of each number until the first common multiple is found. This is the lowest common multiple.
Multiples of 15:
15, 30, 45, 60, 75, 90, 105, 120, 135, 150, 165, 180, 195, 210, 225, 240, 255, 270, 285, 300, 315, 330, 345, 360, 375, 390, 405, 420, 435, 450, 465, 480, 495, 510, 525, 540, 555, 570, 585, 600, 615, 630, 645, 660, 675, 690, 705, 720, 735, 750, 765, 780, 795, 810, 825, 840, 855, 870, 885, 900, 915, 930, 945, 960, 975, 990, 1005, 1020, 1035, 1050, 1065, 1080, 1095, 1110
Multiples of 24:
24, 48, 72, 96, 120, 144, 168, 192, 216, 240, 264, 288, 312, 336, 360, 384, 408, 432, 456, 480, 504, 528, 552, 576, 600, 624, 648, 672, 696, 720, 744, 768, 792, 816, 840, 864, 888, 912, 936, 960, 984, 1008, 1032, 1056, 1080, 1104, 1128
Multiples of 27:
27, 54, 81, 108, 135, 162, 189, 216, 243, 270, 297, 324, 351, 378, 405, 432, 459, 486, 513, 540, 567, 594, 621, 648, 675, 702, 729, 756, 783, 810, 837, 864, 891, 918, 945, 972, 999, 1026, 1053, 1080, 1107, 1134
Therefore,
LCM(15, 24, 27) = 1080
hope it helps :)
Question 6 (1 point)
The figures are similar. Find the scale factor of the smaller figure to the larger figure.
12
11.1
What is the scale factor
Factor: 3x4y3 – 48y3.
Solution:
3x4y3– 48y3.
= 3y3(x4 – 16).
= 3y3[(x2)2 - 42].
= 3y3(x2 + 4)(x2 - 4).
= 3y3(x2 + 4)(x2 - 22).
= 3y3(x2 + 4)(x + 2)(x -2).
whats the answer?
Answer:
The answer is [tex]\mathbf{3y^3(x^2 + 4)(x + 2)(x -2)}[/tex]
Step-by-step explanation:
We need to factor [tex]3x^4y^3 - 48y^3[/tex]
Solution:
[tex]3x^4y^3- 48y^3= 3y^3(x^4 – 16)= 3y^3[(x^2)^2 - 4^2]= 3y^3(x^2 + 4)(x^2 - 4)= 3y^3(x^2 + 4)(x^2 - 2^2)= 3y^3(x^2 + 4)(x + 2)(x -2)[/tex]
So, the factorisation of [tex]3x^4y^3 - 48y^3[/tex] is [tex]\mathbf{3y^3(x^2 + 4)(x + 2)(x -2)}[/tex]
The answer is [tex]\mathbf{3y^3(x^2 + 4)(x + 2)(x -2)}[/tex]
Can we all agree that math is hard??
Answer: sometimes
Step-by-step explanation:
A local little league has a total of 40 players, of whom 35% are -. How many - players are there?
Answer:
14 left
Step-by-step explanation:
PLEASE HELP!!
Use the order of operations to evaluate the expression below.
3 + 5 x 5 - 50 / 2 + 3 - 4
/ = DIVISION
Answer:
Hey no need to fret I will help you so. 3+5 x 5 - 50 / 2 + 3 - 4 =
3+ 25 - 50 / 2 + 3 - 4
3+25-25+3-4
28-28-4
0-4+ -4
Step-by-step explanation:
Order of operations P E M D A S ( parenthesis exponents multiplication division addition subtraction) -4 is your answer Hope I helped have a great day!
Will name Brainliest
4(5^2 − 1) = 96
Why is this an equation?
A. It contains a variable.
B. It contains parentheses.
C. It contains more than one operation.
D. It contains an equals sign.
Answer:
D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Which is the correct algebraic expression for the phrase, 14 more pickles than the first jar?
Answer:A
Step-by-step explanation:
Find the LCM and HCF of 110 and 220 by prime factorization what do you observe....pls answer this
Answer: Check if numbers are prime. Composite numbers prime factorization (decomposing, breaking numbers down to prime factors). Inscribe them as a product of prime factors, in exponential notation.
Just help me, if u get it wrong idk anymore...i gave up in life anyways, so just...whatever
Answer:
15
Step-by-step explanation:
Answer:
Step-by-step explanation:
its 15
What is the slope of the line represented by the equation y=-1/3x+1/4?
-1/2
-1/4
1/4
1/2
Answer:
-1/3
Step-by-step explanation:
None of the answers are correct the slope is -1/3
The slope in a slope-intercept equation is always followed by x.
In the equation provided ( y=-1/3x+1/4) the number followed by x is -1/3 so the slope is -1/3.
If you are looking for the y=intercept it is 1/4, but the slope is -1/3.
What is 28 divided by 3.2 ?? Please include steps :(
thats the answer just look at the picture :)
for the work
The scatter plot below shows the number of pizzas sold during weeks when different numbers of coupons were issued. The equation represents the linear model for this data.
y = 3.4x + 43
According to the model, how many more pizzas are sold for each additional coupon issued?
1 pizzas
3.4 pizzas
4.3 pizzas
43 pizzas
46 pizza
Answer:
3.4
Step-by-step explanation:
trust me bro also i took the quiz lol
The scale of a map uses 10 cm for 30 km.
How many centimeters does it use for 9 km?
+
Answer:
3 km
Step-by-step explanation:
30 divided by 10 is 3.
9 divided by 3 is 3.
Therefore, your answer is 3.
HELP ASAP !! Which equation is equivalent to the equation 3x-4y=48?
A. y=-3/4×-24
B. y=-3/4×-18
C. y=4/3×+18
D. y=3/4×-12
Answer:
D. y = 3/4x - 12Step-by-step explanation:
3x-4y=48-4y = -3x + 48y = -3/-4x + 48/-4y = 3/4x - 12Correct one is D
What is the slope of the line between (1, 5) and (3, 9)
is it A, B, C, or D?
A) M=-2
B) M=1/2
C) M=2
D) M=-1/'2
Answer:
2
Step-by-step explanation
y 1 - y 2 over x 1 - x 2
9-5 over 3-1 equals 4/2 which simplifies to 2
if y'all can do this I'm bad at math thx
A shopper bought a 12-pounds bag of orange for 18.72 what is the unit price per
round 967 to ? round to the nearest hundred
Answer:
967 is 1000.
Step-by-step explanation:
0-4 stays the same, 5-9 goes up one. The number after the one that needs to be rounded is the one you should worry about. For 967, 6 is the number after the primary number that needs to be rounded to the hundred. Since 6 is between 5-9, 6 goes up one and changes 967 into 1000.
Which statement correctly describes the expression (-8)(-9)?
please help me if u can thank u...
Answer:
Step-by-step explanation:
whats the question? theres no photo or question
