Answer:
6
Step-by-step explanation:
5% of 120 were late
= [tex]\frac{5}{100}[/tex] × 120
= 0.05 × 120
= 6
-
If f(9) = - 3, write a corresponding ordered-pair solution.
Answer:
(9,-3)
Step-by-step explanation:
u just have to plug it up
Select all the ordered pairs that are solutions to the equation 2x+y=−12
(−10, 8)
(−9, −6)
(−8, −2)
(0, −12)
(4, −20)
Answer:
(-10,8)(0,12)(4,-20)
Step-by-step explanation:
You just have to insert the points into the equation and then solve.
Ex: 2(4)-20=-12- True
Enola bought snacks for her team's practice. She bought a bag of oranges for $2.06 and a 3-pack of juice bottles. The total cost before tax was $5.06. Write and solve an equation which can be used to determine
x
x, how much each bottle of juice costs.
Answer:
$1
Step-by-step explanation:
Sorry the first x is blank
The second x:
$5.06-$2.06=$3
3/3=$1
he first step that Sarah performed to simplify the expression StartFraction 4(6.8 minus 4.2) plus 8.2 over 2 EndFraction before entering it into the calculator is shown.
2(3.4 – 2.1) + 4.1
Which statement is true?
Sarah performed the first step correctly.
The first step should have been 2(6.8 – 4.2) + 8.2.
The first step should have been StartFraction 27.2 minus 4.2 plus 8.2 over 2 EndFraction.
The first step should have been StartFraction 4(2.6) plus 8.2 over 2 EndFraction.
Sarah performed the first step correctly.
Given the function that Sarah performed as:
[tex]\dfrac{4(6.8-4.2)+8.2}{2}[/tex]
To simplify the function, the first step Sarah carries out is to divide the numerator by 2:
[tex]\dfrac{4(6.8-4.2)+8.2}{2} \\= \frac{2(2)(2(3.4)-2(2.1)+2(4.1))}{2}\\=2(3.4 - 2.1) + 4.1[/tex]
This shows that Sarah performed the first step correctly.
Learn more on decimal here: https://brainly.com/question/20123476
What value of x makes this equation true? 12x minus 15 = 6 minus 3x.
Answer:
x = 1.4
Step-by-step explanation:
12x - 15 = 6 - 3x
12x + 3x = 6 + 15
15x = 21
x = 1.4
Check:
12(1.4) - 15 = 1.8
6 - 3 (1.4) = 1.8
The value of x which makes the equation 12x minus 15 = 6 minus 3x true is 1.4
Given:
12x minus 15 = 6 minus 3x
12x - 15 = 6 - 3x
collect like terms
12x + 3x = 6 + 15
15x = 21
x = 21 / 15
x = 1.4
Therefore, the value of x which makes the equation 12x minus 15 = 6 minus 3x true is 1.4
Learn more about equation:
https://brainly.com/question/4916384
HELP PLS!!
Adding and subtracting vectors in component form
===================================================
Explanation:
Problem 1
If we had the two vectors u = <a,b> and v = <c,d>, then adding them gives us
u+v = <a+c,b+d>
The corresponding coordinates pair up and add together.
In this case we have
u = <-3,4>
v = <6,8>
So,
u+v = <-3+6,4+8>
u+v = <3,12>
---------------------
Problem 2
We follow the same idea as the previous problem.
w = <8,-1>
g = <-1,1>
w+g = <8+(-1),-1+1>
w+g = <7,0>
---------------------
Problem 3
Similar to addition, subtracting vectors has us subtract the corresponding coordinates.
The general template is:
u = <a,b>
v = <c,d>
u-v = <a-c,b-d>
With this in mind, we can say the following:
g = <-1,1>
z = <-3,-3>
g-z = <-1-(-3),1-(-3)>
g-z = <-1+3,1+3>
g-z = <2,4>
---------------------
Problem 4
Follow the same idea as problem 3 above.
v = <6,8>
u = <-3,4>
v-u = <6-(-3),8-4>
v-u = <6+3,8-4>
v-u = <9,4>
---------------------
Problem 5
Refer to problem 1.
y = <1,1>
v = <6,8>
y+v = <1+6,1+8>
y+v = <7,9>
---------------------
Problem 6
u = <-3,4>
h = v+y = y+v = <7,9>
u+v+y = u + h
u+v+y = <-3,4> + <7,9>
u+v+y = <-3+7,4+9>
u+v+y = <4,13>
Notice how I built off the result of problem 5 when I used h = v+y. The vector v+y is the same as y+v because the order of addition doesn't matter. Also, the idea mentioned in problem 1 can be extended for more than two vectors.
A can of soup is a cylinder with diameter 7 cm.
The can is 10 cm high
The can is full of soup
soup
The soup is poured into a saucepan.
The saucepan is a cylinder with diameter 12 cm.
Work out the depth of the soup in the saucepan.
Give your answer correct to 1 decimal place.
Answer:
3.4 cm
Step-by-step explanation:
We can solve this by calculating the volume of the soup and then figuring out the height of the soup in the saucepan from there.
Cylinder volume: πr²h
r = 0.5 * diameter
volume of soup: π(3.5)²10 ≈ 384.845
volume of soup in saucepan: 384.845
For saucepan:
πr²h = π(6)²h = volume = 384.845
36πh = 384.845
divide both sides by 36π to isolate h
h ≈ 3.4 cm
Is -4/19 equivalent to 4/-19
Answer:
Yes.
Step-by-step explanation:
Answer:
no.
Step-by-step explanation:
-4/19 is completely different to 4/-19.
Im not sure how to word it but they are two completely different numbers.
Happy Birthday Jesus!
Don’t forget the true meaning of Christmas! May your day be filled with joy and many blessings! God bless <3
Answer:
fun fact
Step-by-step explanation:
I celebrate on christmas eve :)
german tradition
thanks and to you as well ^-^
1 6. ) b) The weight of an object on moon is 1/6 of its weight on Earth. If weight of an object on Earth is 18/5 kg, what would be its weight on moon? Plzz help me
Answer:
Solution given:
weight of moon=1/6 th of Earth
If weight of Earth is 18/5 kg
weight of moon=?
we have
weight of moon: 1/6 of weight of Earth
=1/6*18/5
=3/5kg
Its weight on moon is 3/5 kg
helppppppppppppppppppppppppppppp
Answer:C
Step-by-step explanation:
I seraph it up
Latisha works x hours a day.
No. of hours Demetrius works = x+1 a day.
No. of working days a week = 5
No. of hours Demetrius works weekly =
= 5(x+1)
which can also be written as 5x+5
So the c option is correct.
Which equation represents the line that has a slope of 1/2 and
contains the point (0, 3)?
A y = 1/3x + 1/2
B y = 3x + 1/2
C y = 3/2x
D y = 1/2x + 3
Answer:
Solution given:
slope(m)=½
passing through point (x',y')=(0,3)
now
equation of a line is:
y-y'=m(x-x')
y-3=½(x-0)
y=½x+3
D.y=½x+3 is a required equation of a line.
I rlly need help on this homework
Hi there! :)
First, let's use the Distributive Property.
It states that
a(b+c)=ab+ac
Therefore
5(2h+8)=10h+40
10h+40<60
Move all the numbers to the right, using the opposite operation:
10h<60-40
10h<20
h<2
Hope this helps. Use the comment section to clarify your doubts.
Answered by
~A teen whose hobby is helping others
Good luck.
Hey there!
5(2h + 8) < 60
= 5(2h) + 5(8) < 60
= 10h + 40 < 60
SUBTRACT 40 to BOTH SIDES
= 10h + 40 - 40 < 60 - 40
CANCEL out: 40 - 40 because it gives you 0
KEEP: 60 - 40 because it helps solve for the h-value.
NEW EQUATION: 10h < 60 - 40
SIMPLIFY IT!
= 10h < 20
DIVIDE 10 to BOTH SIDES
= 10h/10 < 20/10
CANCEL out: 10/10 because that gives you 1
KEEP: 20/10 because it gives you the result of the h-value
NEW EQUATION: h < 20/10
SIMPLIFY IT!
= h < 2
Therefore, your answer is: h < 2
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
The parallelogram has the angle measures shown. Can you conclude that it is a rhombus, a
rectangle, or a square? Explain.
Answer:
Rhombus
Step-by-step explanation:
The angles add up to 144 degrees, so they can't be a rectangle or a square. Also, diagonals of rhombuses bisect the angles.
a scale model of a building 8 inches tall. if the actual height of the building is 496 feet. what is the scale
Answer:
8 inches= 62 ft
Step-by-step explanation:
496 divided by 8
Select the equation that contains the points (-1, -8) and (3, 4).
What is the equation of the line passing through the points (Two-fifths, StartFraction 19 Over 20 EndFraction) and (one-third, StartFraction 11 Over 12 EndFraction) in slope-intercept form
Step-by-step explanation:
Slope-intercept form: y = mx + b
Step 1: Find the slope.Solve for [tex]\frac{y2-y1}{x2-x1}[/tex]
[tex]y2-y1 = \frac{11}{12} -\frac{19}{20}[/tex]
[tex]x2-x1 = \frac{1}{3} -\frac{2}{5}[/tex]
To solve for the fractions you need a common denominator.
[tex]y2-y1 = \frac{11*20}{12*20} -\frac{19*12}{20*12} = \frac{220}{240} -\frac{228}{240}=\frac{-8}{240} = \frac{-1}{30}[/tex]
[tex]x2-x1 = \frac{1*5}{3*5} -\frac{2*3}{5*3} = \frac{5}{15} -\frac{6}{15}=\frac{-1}{15}[/tex]
To divide fractions you keep (the first equation), change (the division sign to multiplication), and flip (the second fraction).
[tex]\frac{y2-y1}{x2-x1}=\frac{\frac{-1}{30} }{\frac{-1}{15} } = \frac{-1}{30}*\frac{15}{-1} =\frac{-15}{-30}=\frac{1}{2}[/tex]
Step 2: Plug slope and a point into y=mx+b to solve for b.[tex]\frac{11}{12}[/tex] = ([tex]\frac{1}{2}[/tex])*([tex]\frac{1}{3}[/tex])+b
[tex]\frac{11}{12}[/tex] = ([tex]\frac{1}{6}[/tex])+b
[tex]\frac{11}{12}-\frac{1}{6}[/tex] = b
[tex]\frac{11*6}{12*6}-\frac{1*12}{6*12}=\frac{66}{72} -\frac{12}{72} =\frac{54}{72}=.75[/tex]
b = .75
y = [tex]\frac{1}{2}+.75[/tex]
which expression simplies to 40x10?
Answer:
i think its 4*1
Step-by-step explanation:
hope this helps
have a great day
~Zero~
Answers
Explainations
The graph of y = x^2 -2x -3
a) Write down the coordinates of the turning point on the graph of y = x² – 2x - 3
(1)
(b) Use the graph to find the roots of the equation r? - 2x - 3 = 0
Answer:
See below
Step-by-step explanation:
A) Recall that a turning point is where the function changes from increasing to decreasing or vice versa. Since the graph of the function is a parabola, it only has 1 turning point, which is the vertex, or (1,-4). Therefore, the coordinates of the turning point are (1,-4).
B) The roots of the equation can be found by determining where the graph intercepts the x-axis (aka. x-intercepts). In this case, these are points (-1,0) and (3,0).
A nurse gave an 8 year old child a dose of 6 mL of medicine. What would be the adult equivalent of this dosage
Write the formula of the sinusoidal function (CORRECT ANSWER WILL BE MARKED BRAINLIEST)
Answer:
The equation of a basic sine function is f(x)=sinx. In this case b, the frequency, is equal to 1 which means one cycle occurs in 2π. If b=12, the period is 2π12 which means the period is 4π and the graph is stretched.
Step-by-step explanation:
Please help me with this it’s is urgent
Answer:
the nominator could be any number here
Step-by-step explanation:
what do you need ? the equation itself is true, if you put the same number in both places above 21.
any number is possible there, it will not change the equation.
so, again, I am not sure, what you need here.
let's write it with a variable to make my statements clearer :
9 + 1 x/21 = 10 x/21
that is true, because we can combine the whole numbers first giving us 9 + 1 = 10.
and then we add the fraction again (x/21).
again, you can put any number instead of x, and it will always be true.
example
9 + 1 4/21 = 10 4/21
pls help me with this:((((
Answer:
See image
Step-by-step explanation:
Use y = mx + b called the slope-intercept form of the equation because you can pick the slope and also the y-intercept right off this equation. If you know what to look for, the information is just right there waiting for you to see it.
The m is the slope, that is the number in front of the x.
The b is the y-intercept, that is the number added on at the end of the equation.
Factor each polynomial completely.
b) 5x6 - 25x5 + 30x4
+
Answer:
10x+5
Step-by-step explanation:
You add or subtract 5x by -25x by 30x to get 10x. However, then you add 6-5+4 which is 5.
Answer:
5[tex]x^{4}[/tex] (x - 3)(x - 2)
Step-by-step explanation:
5[tex]x^{6}[/tex] - 25[tex]x^{5}[/tex] + 30[tex]x^{4}[/tex] ← factor out 5[tex]x^{4}[/tex] from each term
= 5[tex]x^{4}[/tex] (x² - 5x + 6) ← factor the quadratic
Consider the factors of the constant term (+ 6) which sum to give the coefficient of the x- term (- 5)
The factors are - 3 and - 2 , then
x² - 5x + 6 = (x - 3)(x - 2)
Then
5[tex]x^{6}[/tex] - 25[tex]x^{5}[/tex] + 30[tex]x^{4}[/tex] = 5[tex]x^{4}[/tex] (x - 3)(x - 2) ← in factored form
Find the value of the expression 8a +b, if a=3 and b= 1
a) 23 b) 29 c) 30 d) 25
8a + b
a=3
b=1
(8×3)+1
=24+1
=25
the answer is d)25
Use the area model to multiply
–
1
4
8q+
1
2
r.
First, find the partial products. Write numbers as integers, decimals, or simplified proper or improper fractions.
Answer:
no porque algunproblemw
Q). A man ₹ x. He gave half of it to his wife, 1/4th to his son and ₹1200 of his daughter. Form an equation and also find x.
Answer:
if you want simple answer then check second picture
Step-by-step explanation:
,
Calculate 3 tonnes 335kg - 905kg and give the answer in tonnes
Answer:
2430kg
Step-by-step explanation:
3 tonnes is 3000kg so 3 tonnes 335kg is 3335kg. Take 3335 - 905 you get 2430
Which exponential expression is equivalent to the product shown 2/3×2/3×2/3×2/3×2/3×2/3×2/3?
Answer:
B. (2/3) x (2/3) x (2/3)
C. 8/27
D. 2^3 /3^3
hope this helps
I need some help with this question. It says: expand and simplify 5(x + 7) + 3(x - 2)
Answer:
8x+29
Step-by-step explanation:
open the brackets the collect like terms together