Answer:
120
Step-by-step explanation:
LCM of (2^3×3×5) and (3×5) is
The LCM of the expression will be the product of all the factors that are in both expressions
(2^3×3×5) = 2 * 2 * 2 * 3 * 5
(3 * 5) = 3 * 5
since 3 * 5 is common to both factors, we will not have to repeat it twice to get our LCM again. Hence the LCM is expressed as;
LCM = 2 * 2 * 2 * 3 * 5
LCM = 8 * 3 *5
LCM = 24 * 5
LCM = 120
Hence the required LCM is 120
The difference between two positive integers is 4. If the smaller is added to the square of the larger, the sum is 52. Find the integers.
Answer:
The integers are 7 and 3
Step-by-step explanation:
if you put x as smaller number and y as bigger number you can write two equations:
x+y^2=52 and y-4=x
In the first polynomial, y can either equal 7 or -8, but the number has to be positive, so it's 7
y-4 to get x, plug 7 in and you get x=3
y=7 and x=3
Answer:
7 and 3
Step-by-step explanation:
We will let x equal the larger one
y will be the smaller one
We can write the two equations
x-y=4
y+x²=52
We will solve this through substitution
we will take the first equation and add y to moth sides
x=4+y
we then substitute this into our second equation
y+(4+y)²=52
distribute the square
y+8y+y²+16=52
y²+9y-36=0
Factor this
(y-3)(y+12)=0
Which means that y is either 3 or -12 but because it said that both numbers are positive we can reject the negative 12 (which means that y is 3)
Plug in y=3 into our first equation
x-3=4
x=7
for triangle ABC with sides a,b and c the law of cosines states
c^2=
in which of the following cases must the law of cosines be used to solve a triangle?
ASA SSS SAS SSA
Option C is correct. The law of cosines must be used to solve a triangle in the case of SAS rule (Side Angle Side Rule)
For a triangle, ABC with sides a, b, and c respectively, the law of cosines is used on such a triangle if there is a presence of an angle between any two sides.
For example, if angle C is between the sides a and b, the equivalent cosine rule will be expressed as:[tex]c^2 = a^2 + b^2 + 2ab cos C[/tex]
Hence the law of cosines must be used to solve a triangle in the case of SAS rule (Side Angle Side Rule)
Learn more here: https://brainly.com/question/20880990
In a school 156 student passed Geography or History There were 75 student who passed in both subject If 9 more passed Geography than History Find how many were taking each subject
Answer:I’m not sure but I thinks it’s b might be wrong
Step-by-step explanation:
PLS ILL GIVE 40 POINTS
Use the stem and leaf below to answer the questions.
What is the minimum:
What is the maximum:
What is the range:
How many data are displayed in the table?
Answer:
What is the minimum:
The first stem and the first leaf0 and 4 = 4What is the maximum:
The last stem and the last leaf5 and 7 = 57What is the range:
Difference between minimum and maximum57 - 4 = 53How many data are displayed in the table?
Count the number of leaves1 + 3 + 5 + 7 + 5 + 2 = 23What is 3 + 4 1/3
Plz help I really would appreciate it :D
Answer:
7 1/3
Step-by-step explanation:
Add the whole numbers in the equation:
3+4=7
This will get you 7 1/3
Surface Area Homework (Help)
In the figure below, m2 1=(x-12)° and mZ2 =5xº.
Find the angle measures.
Answer:
15 165
Step-by-step explanation:
m1 + m2 = 180
x-18 +5x = 180
6x = 198
x = 33
m1 = 15
m2 = 165
The sample mean tip amount for the 20 parties to which the waitress gave her name was $5.44, with a standard deviation of $1.75. These statistics were $3.49 and $1.13, respectively, for the 20 parties to which the waitress did not give her name. The data were not strongly skewed in either group.
Required:
Use appropriate symbols for the six numbers reported in this paragraph.
Answer:
First sample size, [tex]n_{x}[/tex] = 20
Second sample size, [tex]n_{y}[/tex] = 20
Sample mean of first sample, [tex]\bar{x}[/tex] = 5.44
Sample mean of second sample, [tex]\bar{y}[/tex] = 3.49
Sample Standard deviation of first sample, [tex]\sigma_{x}[/tex] = 1.75
Sample Standard deviation of second sample, [tex]\sigma_{y}[/tex] = 1.13
Step-by-step explanation:
Given - The sample mean tip amount for the 20 parties to which the waitress gave her name was $5.44, with a standard deviation of $1.75. These statistics were $3.49 and $1.13, respectively, for the 20 parties to which the waitress did not give her name. The data were not strongly skewed in either group.
To find - Use appropriate symbols for the six numbers reported in this paragraph.
Proof -
First sample size, [tex]n_{x}[/tex] = 20
Second sample size, [tex]n_{y}[/tex] = 20
Sample mean of first sample, [tex]\bar{x}[/tex] = 5.44
Sample mean of second sample, [tex]\bar{y}[/tex] = 3.49
Sample Standard deviation of first sample, [tex]\sigma_{x}[/tex] = 1.75
Sample Standard deviation of second sample, [tex]\sigma_{y}[/tex] = 1.13
Two numbers total 58 and have a difference of 8 . Find the two numbers.
Answer:
x = 33 , y = 25
Here's your solution
=> let both number be x and y
=> so, x + y = 58
=> x - y = 8
=> solving both equation { add both }
=> 2x = 66
=> x = 33
=> now putting value of x in equation
=> 33 + y = 58
=> y = 58 - 33
=> y = 25
hope it helps
HELP ASAP oooooooooooooooooooooooooo
Answer:
The answer is b Maria will run 1.75 miles more than her goal.
Step-by-step explanation:
For this you take the total number of miles divided by miles per day. 17.5 divided by 2.75 is approximately six slightly over. That remaining time is less than 1 day so she can’t do 2.75 over her goal and the other options talk about going under so that leaves us with option two.
Hope this helps.
Using the distributive property, what would be the expression (I DONT NEED ANSWER) 1/4(8 + x + 4).
Answer:x/4+3
Step-by-step explanation:
8/1×1/4=8/4=2
X/1×1/4=x/4
4/1×1/4=1
Answer:
2 + [tex]\frac{1}{4} x[/tex] + 1
Step-by-step explanation:
What is the median of this data set?
Help!!!!!
Answer:
60
Step-by-step explanation:
find the area of this parallelogram. no links just give the answer plz.
Answer:98
Step-by-step explanation:
because it is a rectangle at a slight angle so base * height
Brainlest plz
Maria is ordering comic books online. The equation y=8x + 4 represents the total cost in dollars, y, including shipping, for ordering x number of comic books. If the total cost including shipping is $60, how many comic books is Maria ordering? Use the graph to help you determine the answer.
Answer:
x will be equal to 7 comic books
The number of books Maria is ordering is 7 books
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of comic books Maria orders be = x
The cost of x books is = y
Now , the equation for the total cost be
y = 8x + 4 be equation (1)
Now , the total cost of all the books be = $ 60
So , substituting the value of y as 60 in equation (1) , we get
60 = 8x + 4
Subtracting 4 on both sides of the equation , we get
8x = 56
Divide by 8 on both sides of the equation , we get
x = 7 books
Therefore , the value of x is 7
Hence , The number of books Maria is ordering is 7 books
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If a family has four children, determine the probability that exactly two of the
children are girls
Answer:
the porbality is 50%, since if we make a diagram a circle and we split it in two the possibility is 50% since the circle is 100%
Step-by-step explanation:
Y = 5x + 2
6y = 18x + 12
What is the value of X?
Step-by-step explanation:
x= 0, y = 2
have a great day
A circle is centered on point B. Points A, C and D lie on its circumference.
If ZADC measures 62°, what does ZABC measure?
Answer:
122
Step-by-step explanation:
61 x 2 = 122 hope this helps:)
On Friday,
1
6
of band practice was spent trying on uniforms. The band spent
1
8
of practice on marching. The remaining practice time was spent playing music.
What fraction of practice time was spent playing music?
Answer:
[tex]\frac{17}{24}[/tex]
Step-by-step explanation:
First, you have to make all of the fractions have a common denominator. You can find the LCM (least common multiple) of 6 and 8.
6, 12, 18, 24 . . .
8, 16, 24 . . .
Their LCM is 24.
So now, change the fractions:
1 4
---- = -----
6 24
Remember, whatever you multiply the bottom by to get to 24 is what you multiply the top number by. You have the make sure the fractions are equivalent.
1 3
---- = -----
8 24
Remember, whatever you multiply the bottom by to get to 24 is what you multiply the top number by. You have the make sure the fractions are equivalent.
So if we have 1 band practice, we know that
24 1
---- = ---- = 1
24 1
So the fraction of practice time spent playing music is:
[tex]\frac{24}{24}-\frac{3}{24} -\frac{4}{24}=\frac{17}{24}[/tex]
. Three employees each clocked a different number of hours worked this week.
Employee Hours Worked Total Earned (in dollars)
A 35 $420
B 22 $242
C 16 $216
Which employee has the highest earnings per hour?
A) Employee A
B) Employee B
C) Employee C
Answer:
C IS THE ANSWER
Use the inequalities to answer the following question
Inequality 1: 2x + 7 < -3
Inequality 2: x – 8 + 3x < -4
Which of the following values make both inequalities TRUE? Select all that apply.
A.) 12
B.) 325
C.) –10
D.) 2/3
E.) –8.25
F.) -15/2
G.)–5
Answer:
C, E, and F
Explanation:
There are two ways to answer this question. First, you could simply input each answer into both equations to see which one works but that would take quite a long time.
A better way is to simply solve each equation for x.
You could rewrite
2x + 7 < -3
as
2x + 7 = -3
and solve:
Subtract 7 from both sides
[tex](2x + 7) -7 = (-3) - 7\\2x = -10[/tex]
Now divide both sides by 2
[tex]\frac{2x}{2} = \frac{-10}{2}\\x = -5[/tex]
Now we can simply replace the equals sign with the inequality
x < -5
Where you can run into trouble is if you have to multiply or divide by a negative number across the equation, you must flip the inequality sign. It's best to leave it there to remind you, but I switched it out just to show that it's no different than a typical algebraic equation.
Now, we know that x can be any value less than -5. Let's find out the same thing for the second equation:
[tex]x - 8 + 3x < -4\\(x + 3x) -8 < -4\\4x - 8 < -4\\(4x - 8) + 8 < (-4) + 8\\4x < 4\\\frac{4x}{4} < \frac{4}{4}\\x < 1[/tex]
Now we know that x must be less than 1 for the second equation. So, now we can choose the answers that are both less than -5 and less than 1.
These answers are:
C. -10
E. -8.24
and
F. -15/2 which is -7.5
NOTE: -5 is equal to but not less than -5 so G is not included.
if sinθ =1/3 what are the values of cosθ and tanθ
solution in attachment
hope it helps
Chris works at a bookstore and earns $7.50 per h hour plus a $2 bonus for each book she sells. Chris sold 15 books. She
wants to earn a minimum of $300. Which inequality represents this situation, and what quantities are true for h?
A 2h + 30 > 300, where h > 135
B 7.50h + 30 > 300 where h > 36
7.50h + 30 < 300, where h <36
D2h + 30 < 300, where h < 135
Answer:
B
Step-by-step explanation:
Answer:
Step-by-step explanation:it is b because u multiply.
What is the difference of
7/8 − 1/3
Answer:
[tex]13 \div 24[/tex]
13/24
Step-by-step explanation:
[tex]7 \div 8 - 1 \div 3[/tex]
[tex]taking \: the \: lcm \: of \: 8 \: and \: 3[/tex]
[tex]21 - 8 \div 24[/tex]
[tex]13 \div 24[/tex]
if it helps don't forget to like and mark me
The question is down below.
AB=
Answer:
Step-by-step explanation:
Sin(35) = opposite / hypotenuse
Sin(35) = 4 / hypotenuse Multiply both sides by the hypotenuse
hypotenuse * sin(35) = 4 Divide by Sin(35)
hypotenuse = 4/Sin(35)
Sin(35) = 0.5736
hypotenuse = 4/0.5736
hypotenuse = 6.9737
Rounded answer 6.97
Find: AABCD in square unit.
Answer:
in triangle ACD
<D =<B=90° inscribed angle from the diameter is 90°
base AC=2×OA=2×15=30unit
perpendicular =CD=12unit
area of triangle ACD
=1/2 base×perpendicular=1/2×30×12=180unit²
In triangle ABC
base=AC=30 unit
perpendicular=BC=18unit
area of traingle ABC =
1/2 base×perpendicular=1/2×30×18=270unit²
Area of quadrilateral =area of traingle [ABC+ACD]
=180+270=450 square unit ans..
PLEASE HELP ME FAST!!!!!!!!!!!!
Answer:
c
Step-by-step explanation:
Katie worked 40.5 hours this week. She makes $8 per hour. How much money did she earn this week?
Answer:
$324
Step-by-step explanation:
if
=> 1hr = $8
then,
=> 40.5 x 8 = 324
=> 40.5 hr = $324
She earned $324 this week.
hope this helps and is right :)
Answer:
$324
Step-by-step explanation:
So, First we have to establish what we are solving for, in this equation we are solving for how much money Katie made this week after working 40.5 hours at a salary of $8 per hour.
To find how much Katie made we have to multiply 40.5 and 8!
Let's make it easier by splitting 40.5 into 40 and 0.5
40 × 8 = 320
0.5 × 8 = 4
320 + 4 = 324
Katie made $324 this week!
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
1/3 (4 ∙ 3) + 23
I need help
Answer:
27
But tell me the exact question it has on there
Step-by-step explanation:
2cosθ−2=0
please type here and not put in a file
Answer:
Step-by-step explanation:
You want the value of theta, I take it. Add 2 to both sides
2cos(theta) = 2 Divide by 2
2cos(theta)/2 = 2/2
cos(theta) = 1
So theta = 0 degrees.
So 0,360 .... n*360 is the general solution.
Prisha is buying sandwiches at a café for herself and her daughter. If she buys 2 tuna sandwiches, the cost will be $14. If she buys 1 tuna sandwich and 1 chicken sandwich, the cost will be $16. How much will the cost be if she buys 2 chicken sandwiches?
Answer:
18$
Step-by-step explanation:
2 tuna sandwiches= 14$
1 tuna sandwich= 14÷2 = 7$
1 tuna sandwich + 1 chicken sandwich = 16$
7$ +1 cs= 16$
1 chicken sandwich = 16$- 7$
1 chicken sandwich = 9$
2 chicken sandwiches = 9x2 = 18$