These 2 triangles are similar.
what is the length of x
Answer:
x = 15
Step-by-step explanation:
Since the triangles are similar, then the ratios of corresponding sides are equal, that is
[tex]\frac{9}{3}[/tex] = [tex]\frac{x}{5}[/tex] ( cross- multiply )
3x = 45 ( divide both sides by 3 )
x = 15
Rewrite the following as a product of two factors
a(a -1) + 5(a - 1) =
Answer:
4a-5=0
4a=5
a=1.25
Product of 2 factors:
Unknown, as ive worked for about 30 minutes and can't figure it out
Step-by-step explanation:
2a-1a+5a-5
4a-5=0
a=1.25
What are two whole numbers the square root of 96 lies between ?
A collection of 5 positive integers has mean 4.4, unique mode 3 and median 4. If an 8 is added to the collection, what is the new median. Express your answer as a decimal rounded to the nearest tenth.
9514 1404 393
Answer:
4.5
Step-by-step explanation:
It appears the 5 integers must be {3, 3, 4, 5, 7}.
For the mode to be unique, there must be more than one '3', and there cannot be any other repeated numbers. For 4 to be the median, it must be the 3rd-highest number. Then the remaining numbers must be integers greater than 4 with a sum of 12 for the mean to be 4.4.
When 8 is added to the collection, the median is now the average of 4 and 5, so is 4.5.
The new median is 4.5.
_____
Comment on vocabulary
mean: the sum of numbers divided by the number of numbers. 5 numbers with a mean of 4.4 will have a sum of 5×4.4 = 22.
median: the middle number of a collection of an odd number of numbers, when sorted from lowest to highest. It is the 3rd number of a group of 5 numbers. When there are an even number of numbers in the group, the median is the average of the middle two in the sorted list. Here, that means the 3rd number in the list of 5 is '4'. When 8 is added, 4 becomes one of the numbers contributing to the average that will be the new median.
mode: the member of the group that appears the most times. When the mode is unique, it means there are no other numbers repeated as often. Here, we know the 3rd number (of 5) is 4, so there can only be two numbers '3' in the collection. That 3 is the unique mode means no other numbers are repeated at all.
Bob's Gift Shop sold 550 cards for Mother's Day. One salesman, Caleb, sold 10% of the cards sold for Mother's Day. How many cards did Caleb sell?
Answer:
Caleb sold 55 cards.
550 divided by 10 = 55.
Which of these place values is found to the left of 10?
tenths
hundreds
ones
thousands
Answer:
Hundreds
Step-by-step explanation:
In order from right to left, place value is:
[tex]Ones (1)[/tex]
[tex]Tens (10)[/tex]
[tex]Hundreds (100)[/tex]
[tex]Thousands (1000)[/tex]
And so on....
In the above order from right to left, the next after 10 is hundreds.
Hence;
Option B answers the question.
if y=27 when x=12, find x when y=-12
Answer:
x = - 36
Step-by-step explanation:
Given that y varies inversely as x then the equation relating them is
y = ← k is the constant of variation
To find k use the condition y = 27 when x = 12, then
k = yx = 27 × 12 = 324, thus
y = ← is the equation of variation
When y = - 9, then
- 9 = ( multiply both sides by x )
- 9x = 324 ( divide both sides by - 9 )
x = - 36
Simply the expression
-8 (5b + 2 ) - 7 ( b -5 ) .
help please
Answer:
= −47b + 19
Step-by-step explanation:
55 = 18 +0.004x
What is x
Answer:
Your answer is: x = 9250
Isolate the variable by dividing each side by factors that don't contain the variable.
Step-by-step explanation:
Hope this helped : )
Michael is training for biathlon. He will swim every sixth day and bicycle every eighth day. On what days will he both swim and bicycle?
Answer:
The first two days he will both swim and bike are days 24 and 56.
Step-by-step explanation:
Swim: Days 6,12,18,24,30,36,42,50,56
Bicycle: Days 8,16,24,32,40,48,56,
Roberta bought 9/10 to pound of raisins. She put 2/5 pound in bags for her lunch. How many 2/5-pound bags can Roberta fill? Does she have any left over?
Answer:
2
Step-by-step explanation:
The number of the 2/5-pound bags can Roberta fill will be 2.25.
What is an expression?The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.
Given that Roberta bought 9/10 pounds of raisins. She put 2/5 pounds in bags for her lunch.
The number of bags will be calculated as below:-
Number = ( 9 / 10 ) / ( 2 / 5 )
Number = 2.25
Therefore, the number of the 2/5-pound bags can Roberta fill will be 2.25.
To know more about an expression follow
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anyone think they can help with this?
please please help me!!
Step-by-step explanation:
domain is X and range is y
Jack paid $120 to have his bus fixed at an auto-repair shop.
The parts of the bus cost $72, and service was charged at $12
Answer:
he only needed to pay 84 dollars.
Step-by-step explanation:
−5+7g=3g+9
a: g +-1
b:g=1
c:g=
d:g=
Answer
g= 3 1/2 (#D)
Step-by-step explanation:
1/4 divided by 7/10 is...??
A. 7/40
B.5/14
C.10/28
Answer:
b. 5/14
Step-by-step explanation:
hope this helps. plz give brainliest
Answer:
Do keep change flip. Keep 1/4 and change division to multiplication. Also flip 7/10 to 10/7. That gives you 10/28. So C
Step-by-step explanation:
Write (6,0) and (0,4) in standard form show all work
Answer:
There is answer for you sorry but this problem can not be put into standard form i tried but it didn't make any sense maybe you could rewrite the problem but that all i can do for you
Step-by-step explanation:
Translate the expression
1 more than the product of a number and -8
Answer:
8x+1...................
Craig bought 4.5 pounds of ground beef for $29.25. What is the unit price of the ground beef?
Answer:
6.5 dollars per pound
Step-by-step explanation:
Take the total cost and divide by the number of pounds
29.25 dollars / 4.5 lbs
6.5 dollars per pound
Given the direct variation equation, y = 13x, find the following:
25. What is y when x is 5?
Answer: y = 65
Step-by-step explanation: PLEASE GIVE BRAINLIEST IT HELPS ALOT
definition of congruence: if
Answer:
a statement that two numbers or geometric figures are congruent.
Step-by-step explanation:
Rate me please
Answer:
Definition of congruent is related to two numbers or shapes that may be equal. Congruent is like equal something can’t be congruent if it’s not equal.
Step-by-step explanation:
what’s 0.987+0.0853098
Answer:
1.0723098
Yw :D
A company had a loss of -$1,786.50 over the past 1.5 years. What was the company's average loss per year?
Rabbit Population The rabbit population in a certain area is 200% of last year's population. There
are 700 rabbits this year. How many were there last year?
There were rabbits last year.
♡
Answer:
Kinda confusing, (probably just me) but I think it may be 1,400 rabbits last year.
L. A number, n, is multiplied by -5 The
product is - 20. whats the value of n?
Answer:
n=4
Step-by-step explanation:
itis it is already multiplying by -5 we have to multiply it by a postive will remain a negative 20
Answer: n = 4
-5n = -20
n = 4
Use a model to divide. 45 by 6
Answer:
45 / 6
Step-by-step explanation:
Step-by-step explanation:
draw 3 boxes.
put 6 on the side of the one on the left and then put 3 over the first two boxes and then put one over the last box. then on the side of the last box draw three tiny ones.
i'll try and draw it
3 3 1
6 (18) (18) (6) then draw three tiny boxes.
you do this because 6 times 3 is 18 and if you do that twice its 36. then you do 6 times 1 which gives you 6. and 6 +36=42. then you add three boxes to make 45.
this probably made no sense. sorry
If 1≤x≤3 and 3≤y≤5. The least possible average of 1/x and 1/y is:
(A) 2/3 (B) 3/5 (C) 4/15 (D) 8/15 (E) 4 /5
Answer:
(C) 4/15
Step-by-step explanation:
Given that 1 ≤ x ≤ 3 and we need to find the least value of 1/x. The least value of 1/x is gotten by taking the maximum value of x in the interval, hence the least value of 1/x = 1/5
Given that 3 ≤ y ≤ 5 and we need to find the least value of 1/y. The least value of 1/y is gotten by taking the maximum value of y in the interval, hence the least value of 1/y = 1/3
The least possible average of 1/x and 1/y = [tex]\frac{\frac{1}{x}+\frac{1}{y} }{2} =\frac{\frac{1}{5}+\frac{1}{3} }{2}=\frac{\frac{8}{15} }{2} =\frac{4}{15}[/tex]
Giselle pays $240 in advance on her account at the athletic club. Each time she u
the account. Model the situation with a linear function and a graph.
1. b= 225-15x
2. B=240-15x
3. B=225+15x
4. B=240+15x
Help plz god bless you
Answer:
2. B=240-15x
Step-by-step explanation:
Answer:
The answer is B = 240 - 15x
Step-by-step explanation:
Rectangle ABCD is rotated 95° about point Q to create rectangle A'B'C'D'.
What is the area of rectangle A'B'C'D'?
Answer:
12
Step-by-step explanation:
Since both rectangles are of the same dimensions, simply multiply the width of the first box(2) and the length of the second box(6) together(2*6 = 12)
The area of rectangle before and after the 95° degrees rotation about point Q will be same.
What is the area of a Rectangle?
The area of a rectangle is the product of its length and width. Mathematically -
Area = length x width
Given is Rectangle ABCD is rotated 95° about point Q to create rectangle A'B'C'D'
The area of a rectangle depends on its length and width and not on its orientation. When a rectangle ABCD is rotated 95° about point Q to create rectangle A'B'C'D', in such case there will be no change in the dimensions of a rectangle. Therefore, the area of rectangle will remain same, irrespective of its orientation in plane.
Therefore, the area of rectangle before and after the 95° degrees rotation about point Q will be same.
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An engineer on the ground is looking at the top of a building. The angle of elevation to the top of a building is 38º. The engineer knows the building is
300 ft tall. What is the distance from the engineer to the base of the building to the nearest whole foot?
A) 234 ft
B) 487 ft
C) 185 ft
D) 384 ft