Step-by-step explanation:
[tex]8mn[/tex]
or equivalently
[tex]8\cdot m\cdot n[/tex]
We often write variable side-byside without the multiplication sign in algebra. It also applies to terms with indices. For instance,
[tex]\text{We write }a^2b^3c^4\text{ and mean }a^2\times b^3\times c^4[/tex]
We may, often also add a dot at the middle of both terms as another version of multiplication sign for better readability if the terms are more complicated, for instance
[tex]a\cdot b\cdot c[/tex]
and
[tex]\frac ab\cdot \sqrt{\frac{d^4}{b^9}}\cdot\pi[/tex]
Gina ran two laps around the track in 99 seconds. How long did it take her to run each lap if she ran the first one 8.5 meters per second and the second lap at meters per second
Solve for y.
y - 12 = -10
y = 2
y = -22
y = 22
y = -2
Answer:
y = 2
because when you transpose -12 it changes the sign it become positive
help pls and thanks!!!
Answer:
y = -3x - 8
Step-by-step explanation:
[tex]y =\frac{1}{3}x+ 2[/tex]
Here slope m = (1/3)
Slope of the perpendicular line = [tex]\frac{-1}{m}[/tex] = -1 ÷ [tex]\frac{1}{3} = -1 *\frac{3}{1}= - 3[/tex]
Slope m1 = -3 and (-3 ,1)
Equation of line:
y -y1 = m(x -x1)
y - 1 = -3(x - [-3])
y - 1 = -3(x + 3)
y - 1 = (-3) *x + 3*(-3)
y - 1 = -3x - 9
y = -3x -9 +1
y = -3x - 8
Answer:
y = - 3x - 8
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{1}{3}[/tex] x + 2 ← is in slope- intercept form
with slope m = [tex]\frac{1}{3}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{3} }[/tex] = - 3 , then
y = - 3x + c ← is the partial equation
To find c substitute (- 3, 1 ) into the partial equation
1 = 9 + c ⇒ c = 1 - 9 = - 8
y = - 3x - 8 ← equation of perpendicular line
what number shoul be added to -5/6 to get 2/3
Let it be x
ATQ
[tex]\\ \sf\longmapsto x+\dfrac{-5}{6}=\dfrac{2}{3}[/tex]
[tex]\\ \sf\longmapsto \dfrac{6x-5}{6}=\dfrac{2}{3}[/tex]
[tex]\\ \sf\longmapsto 3(6x-5)=6(2)[/tex]
[tex]\\ \sf\longmapsto 18x-15=12[/tex]
[tex]\\ \sf\longmapsto 18x=12+15=27[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{27}{18}[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{3}{2}[/tex]
Over a year, Andy placed 880 phone calls. When he looked at his yearly call log, he noticed that all the
calls went to 11 phone numbers.
If he made the same number of calls to each of the numbers, how many times did he call each
number?
number?
Do the calculations and round the answers to the correct place (using the rules for calculating significant digits): 4.8754 x 3.2
Answer: The answer I got is 15.6
Jonah has a yearly net income of $12,000. He wants to rent an apartment that costs $1,000/month. Can Jonah afford this apartment? Why or why not?
Answer:
No.
Step-by-step explanation:
His rent for the year will be 1000 * 12 = $12,000 which is the same as his income!. No money left for food, travel and other expenses.
4x + 2 + 3x = 5 + 2x + 8
What does x equal?
Answer:
x = 11/5
Step-by-step explanation:
4x + 2 + 3x = 5 + 2x + 8
Combine like terms
7x+2 = 2x+13
Subtract 2x from each side
7x+2-2x = 2x+13-2x
5x+2 = 13
Subtract 2 from each side
5x+2-2 = 13-2
5x = 11
Divide each side by 5
5x/5 = 11/5
x = 11/5
Answer:
2.2
Step-by-step explanation:
4x+2+3x=5+2x+8
combine like terms
7x+2=2x+13
Subtract 2x from each side
5x+2=13
subtract 2 from each side
5x=11
Divide each by five
x=2.2
E
AB || CD
BC II DE
B
D
2015 Glynyon, Inc.
Find the mZBAC, if ZDEC = 45° and mZEDC = 65°
O 50°
O 70°
O 60°
O 80°
Answer:
∠BAC=70°
Step-by-step explanation:
If AB || CD and BC II DE that means the two triangles are congruent or the same, this means ∠BAC°=∠DCE°, ∠ABC°=∠EDC°, and ∠BCA°=∠DEC°. The three angles of a triagle add up to 180°. If ∠DEC=45° and ∠EDC=65°
Total°-(∠DEZ°+∠EDC°)=∠DCE° or ∠ECD°
180°-(65°+45°)=70°
∠BAC°=∠DCE°
Therefore ∠BAC=70°
Need some help? Image should convey the rest.
Answer:
30+(4x-4)=180-90(angle sum of triangle)
30+4x-4=90
4x+30-4=90
4x+26=90
4x=90-26
=54
x=54÷4
=13.5
Paul is 6 times as old as his brother. Paul is 12 years old. How old is his brother? Show work
Answer:
2 years
Step by step explanation:
Let Paul's brother's age be x years.
Paul is 6 times as old as hus brother so, his age will be 6x.
According to question, Paul's age is 12 years so,
6x=12
or, x=12/6
or, x=2
Hence, his brother is 2 years old.
The age of paul's brother will be 2 years.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
It is given that Paul is 6 times as old as his brother. Paul is 12 years old. The age will be calculated as below:-
Let Paul's brother's age be x years.
Paul is 6 times as old as his brother so, his age will be 6x.
According to the question, Paul's age is 12 years so,
6x=12
x=12/6
x=2
Hence, his brother is 2 years old.
To know more about expression follow
https://brainly.com/question/723406
#SPJ2
22=4(x+3)-5
Round to the nearest tenth
Answer:
4
Step-by-step explanation:
22=4(x+3)-5
22+5=4(x+3)-5+5
27=4(x+3)
27/4=4(x+3)/4
27/4=x+3
(27/4)-3=x+3-3
x=(27/4)-3
x=15/4
x=3.75
x=4
A garden has an area of 75 square feet. What is the closest whole number to the length of each side of the garden?
Answer:
9 feet
Step-by-step explanation:
this is asking for one length of the sides of the garden. using key words, such as ~squared~ we can conclude that the shape of the garden is in fact a square, therefore, all sides will be equal. 9x9 would be the equation used, and even then the number is too large. all of the other options are larger therefore I don't think they are your answer.
5.346 - 2.289= 3.057
SHOW WORK!!!!
WILL GIVE BRAINLIEST PLEASE
Need help please don’t know what to do here
Answer:
Down below
Step-by-step explanation:
a. The range of y = sinθ is [-1,1]
b. The period of y = cosθ is 2π
c. The asymptotes of y = tanθ are -π2, π2, πn
d. The amplitude of y = sinθ is 1
e. The period of y = tanθ is π
f. The max value of y = cosθ is 1
B is between A and C and AB = BC.
If AB = 4x and AC = 24, find x.
Answer:
x = 6
Step-by-step explanation:
Because AB = BC and AB = 4x , AC = 24
=> 4x = 24
x =6
Answer:
X=3
I hope this helps,
Not the neatest of handwriting though
Eliana travels at an average speed of 50 mph for 60 miles.
Without stopping, Eliana then travels 130 miles in 2.5 hours.
Find her average speed for the entire journey to 2 dp
Answer:
51.35 mph to the nearest hundredth.
Step-by-step explanation:
The time she takes to travel 60 miles = distance / average speed
= 60/50 = 1.2 hours.
Total time taken = 1.2 + 2.5
= 3.7 hours.
Total distance travelled = 60 + 130
= 190 miles.
Therefore average speed for the whole journey
= 190 / 3.7
= 51.35135 mph.
I need help with this problem
[tex]\\ \sf\longmapsto Area=LB[/tex]
[tex]\\ \sf\longmapsto Area=(x+4)(x-9)[/tex]
[tex]\\ \sf\longmapsto Area=x(x-9)+4(x-9)[/tex]
[tex]\\ \sf\longmapsto Area=x^2-9x+4x-36[/tex]
[tex]\\ \sf\longmapsto Area=x^2-5x-36[/tex]
Step-by-step explanation:
Solution,
Given:-
Length=x+4
Width=x-9
Now,
By applying the formula for area of rectangle, we get
Area=length×width
Area=(x+4)(x-9)
Area=x(x-9)+4(x-9)
Area=x²-9x+4x-36
Area=x²-5x-36
Write
3
_
6
in lowest terms.
Answer:
1/2
Step-by-step explanation:
3 is half of 6 so the smallest term would be 1/2.
The masses of two similar objects are 24kg and 81 kg respectfully. If the surface area of the larger one is 540cm2, find the surface area of the smaller one.
Answer:
Step-by-step explanation:
hope that image helps
if the square of x is 5, then the square of 4x will be?
a) 400
b) 80
c) 60
d)20
Answer:
OPTION B: 80
SEE THE IMAGE FOR SOLUTION
find each sum, product, or quotient and write your answer as a fraction in simplest form. - 2/21 ÷ ( - 2/15 )
Answer:
5/7
Step-by-step explanation:
[tex] \dfrac{ - 2}{21} \div \dfrac{ - 2}{15} [/tex]
[tex] \dfrac{ - 2}{21} \times \dfrac{15}{ - 2} [/tex]
[tex] \dfrac{ - 30}{ - 42} [/tex]
[tex] \sf \: \dfrac{5}{7} [/tex]
rewrite the quadratic function into vertex form by completing the square y=-2x^2-3x-5
3/10 of the members of a tennis club are men. 5/6 of these men are right handed. work out the fraction of members of the tennis club who are right handed
Answer:
1/4 of the men are right handed.
Step-by-step explanation:
You know nothing about the women. You know only about the men, so the answer has to be expressed in terms of men.
3/10 * 5/6 = 15 / 60 = 1/4
a) find the total surface area of the cone .
b) the cone is cut into two equal parts by the vertical plane V A B
Answer:
hey there your picture is not clear and also it is cropped so height is not visible
But for TSA you can do this by the formula of πr(l+r)
A box contains $8.15 in nickles, dimes, and
quarters. There are 47 coins in all, and the sum
of the number of nickles and dimes is 3 less than
the number of quarters. Define your variables
and then create the three system of equations to
represent this situation.
Answer:
45 nickels
30 quarters
60 dimes
15 pennies
Step-by-step explanation:
Quarters:
45÷3=15
15×2=30
Dimes:
30×2=60
Pennies:
60-45=15
Answer:
Step-by-step explanation:
Hello,
So you are gonna have 32 quarters.
One dime and one nickle.
evaluate each expression 5(6+2)
Answer:
40
Step-by-step explanation:
First, do the equation in the parentheses
5(6+2)
5(8)
then multiply
5 * 8 = 40
Answer:
40
Step-by-step explanation:
5(6+2)
Parentheses first
5(8)
Multiply
40
PLEASE HELP ME!!!! WILL REWARD BRAINLIEST!!!!!
Answer:
-4 and -2.
Step-by-step explanation:
First of all,... OH MAN,... that is serious brain twisting logic (if you can call it logic) and to be fair I had to ask a math expert person I'm acquainted with,... cause I didn't know either,... so nothing to be ashamed about,...
If we let 2x equal the lesser of the two consecutive EVEN integers, and we let y equal 2x+2 be the greater of the two consecutive EVEN integers,
(For example, this is like x = 1, so 2x=2, y=4 or x=7, so 2x=14 and y=16, we add 2 to the lesser even integer to get the next CONSECUTIVE even integer.)
This, y=2x+2, is one of the equations we need. To get the other,
"Four times the lesser (4*2x) is (=) 12 less (-12) than twice the greater (2y)."
Doing it all in math, we get:
4(2x) = 2y - 12
This simplifies to:
8x = 2y - 12
And using the first equation (y=2x+2) we can substitute "2x+2" in for "y"
8x = 2(2x + 2) - 12
Simplify the right side by first distributing:
8x = 4x + 4 - 12
Combine like terms on the right.
8x = 4x - 8
Subtract 4x from both sides
4x = -8
Divide both sides by 4
x= -2
Remember, our lesser even integer is 2x, so the lesser integer is 2*(-2)= -4, the greater is (-4)+2= -2.
Final answer: The two consecutive even integers are -4 and -2.
To be even more fair I don't fully understand this completely either,... he explained it to me and I and getting it,... so anyway,... Hope it helps, and
Chow,...!
From the graph of the function, determine the domain and the range.
Domain: [0, 4] Range: [0, 4]
Domain: (-4, 4) Range: (0,4)
Domain: (-4, 4] Range: [0, 4]
Domain: [0, 4] Range: (-4, 4]
Answer:
Domain: (-4, 4) Range: (0,4)
Step-by-step explanation:
Domain is the furthest left and right points on the x-axis while the range is the same but instead of it being the x-axis, it would be the y-axis. The graph shows -4 to 4 being the domain and 0 to 4 being the range.
5) Emily woks Monday through Friday at a rate of $16.12 per hour. She takes a 1-hour lunch break. If she
clocks in each day at 6:15 A.M. and leaves at 4:15 P.M., what is her total pay for the week? (show your
work)
Answer: $725.40
Step-by-step explanation:
6:15A.M. - 4:15 P.M. = 10 hours - 1 hour lunch = 9 hours/day
$16.12hr*9 hours = $145.08 per day
Monday thru Friday = 5 days
$145.08 * 5 = $725.40 per week
