what are some expressions that are equivalent to 3(7x–6).
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{3(7x - 6)}\\\large\rightarrow\textsf{3(7x) + 3(-6)}\\\large\rightarrow\textsf{21x - 18}\\\\\\\huge\text{Therefore, your answer is: \boxed{\textsf{21x - 18}}}\huge\checkmark[/tex]
[tex]\large\textbf{Note: All you had to do is DISTRIBUTE 3 the}\\\large\textbf{WITHIN PARENTHESES. }\large\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
The two parallel sides of a trapezium are 19.8 and 7.2 and its area is 135 cm²..find its height
Answer:
10cm
Step-by-step explanation:
the formula for an area of a trapezium:
[tex] \frac{(a + b) \times h}{2} = area[/tex]
where a and b are the parallel sides and h is the height. equating what we have:
[tex] \frac{(19.8 + 7.2) \times h}{2} = 135[/tex]
simplify the numerator by adding 19.8 and 7.2=27
[tex] \frac{27h}{2} = 135[/tex]
multiply both sides by 2
[tex]27h = 270[/tex]
divide both sides by 27
[tex]h = \frac{270}{27} = 10[/tex]
the height is 10cm
Evaluate to function for the given value of X
[tex]\text{Given that,}\\\\\\f(x) = 9x^3 -x^2 +2 \\\\f(2) = 9(2^3) - 2^2 +2\\\\~~~~~~~ = 9(8) -4 +2 \\\\~~~~~~~= 72 -2 \\\\~~~~~~~=70[/tex]
They are similar or not similar and why?
Answer:
Yes its similar because if you look at all the numbers they are all the same but the shape is just turned around
please consider brainliest <3
Answer:
Step-by-step explanation:
Yes its similar because if you look at all the numbers they are all the same but the shape is just turned around
love ELVIS
If A= -2 -8 -9 and B= 9 -9 6 find A-B
-5 7 5. 2 -1 -3
-4 -8 7. -4 -1 6
Answer:
A-B=
-2-8-9-(9-9+6)=
-19-6=
-25
PLEASE YOU GUYS I NEED REAL HELP !!!!!!
The population of a town is modeled by the equation P=3485e0.12t, where “P” represents the population as of the year 2000.
According to the model, what will the population of the town be in 2010?
In approximately what year will the population reach 50,000 people?
Must answer and show appropriate work for both questions here.
Part A: 11,571 people in 2010
Part B: approx. 22 years
Part A: 38,416 people in 2010
Part B: approx. 13 years
Part A: 11,571 people in 2010;
Part B: approx. 13 years
Part A: 38,416 people in 2010;
Part B: approx. 22 years
The amount of people in 2010 is 11571 and it would take approximately 22 years to reach 50000 people.
Let P represents the population as of the year(t) 2000. Given the equation:
[tex]P=3485e^{0.12t}[/tex]
In the year 2010 (t = 10 years), the population would be:
[tex]P=3485e^{0.12*10}=11571\ people[/tex]
For the population to reach 50000 people:
[tex]50000=3485e^{0.12t}\\\\t=22\ years[/tex]
The amount of people in 2010 is 11571 and it would take approximately 22 years to reach 50000 people.
Find out more at: https://brainly.com/question/12490064
help me please asap
i will make you brainliest
Answer:
see explanation
Step-by-step explanation:
An open circle indicates that x cannot equal that value
A closed circle indicates that x can equal that value.
(i)
An open circle at x = - 1 and arrow pointing right
x > - 1
(ii)
An open circle at x = - 1.5 and arrow pointing right
x > - 1.5
(iii)
A closed circle at x = 4 and arrow pointing left
x ≤ 4
(iv)
A closed circle at 0.5 and arrow pointing left
x ≤ 0.5
Equations that represent a line parallel to y=8x+4
y=8x+b, b being any number, is parallel to y=8x+4.
For example:
y=8x+2
y=8x+(1/2)
y=8x+937382
y=8x-4
True or False. If true, give a convincing argument. If false, explain why it is false. Be sure to use mathematical language in your explanation.
As an airplane flies toward you, its angle of elevation increases.
Answer:
True.
Step-by-step explanation:
We assume that the plane is flying at a constant height above the ground.
The angle of elevation is the angle made between the plane, you and the point on the ground directly below the plane. As the plane approaches you the distance between you and the point on the ground decreases and therefore the angle of elevation increases.
What is the area, in square centimeters, of the trapezoid below?
Answer:
36 cm²
Step-by-step explanation:
1/2 × (8.9+5.5) ×5.5
1/2×14.4×5.5
1/2×72
36 cm²
A biologist wonders if the life span of bats will be affected by two new food sources from invasive species moving into an area. To conduct the experiment, the biologist needs three treatment groups: a group where the diet will not include invasive species (control), a group where the diet will include one invasive species (treatment group 1), and another group where the diet will include the other invasive species (treatment group 2). The biologist chooses the first cloud-free night and catches the first 18 bats that fly out of a cave, placing them into three equal groups of six bats. To decide the treatment for each group, the biologist places three slips of paper labeled control, treatment group 1, and treatment group 2 in a hat and randomly selects 2 slips of paper. The first piece of paper gives the treatment for the first group, the second piece of paper gives the treatment for the second group, and the remaining treatment is given to the third group.
Which component is missing from the biologist’s process?
The biologist did not use proper labeling on the pieces of paper.
The biologist did not use the appropriate number of treatment groups.
The biologist did not randomly assign the individual bats to the treatment groups.
The biologist did not randomly choose the weather on the night for bat capture.
Answer:
The biologist did not use proper labeling on the pieces of paper.
Hit Brainliest if this was helpful :)
Find the value of x?
Answer:
145°
Step-by-step explanation:
See the attachment. Angles A, B, and C all belong to the triangle.
We know that A + B + C = 180° since the angles of a triangle always add to 180°. We also know that when two lines meet that their sum is also equal to 180°. So we can write for each interior angle the following:
Result
<A = (180 - 88) 72
<B = (180-x) 180-x
<C = (180 - 127) 53
The sum of angles A, B, and C is equal to 180:
72 + (180-x) + 53 = 180
x = 145How do we get 144 here?
Answer:
the correct answer is supposed to be 120, your almost there :)
Step-by-step explanation:
2) A right isosceles triangle has legs that are each 10 mm. What is the length of its hypotenuse?
round to the nearest whole number
[tex](b) ^{2} + {(h)}^{2} = {(x)}^{2} \: \: \: ( by \: \: \: pythagoras \: \: \: theorem)\\ = > {(10)}^{2} + {(10)}^{2} = {(x)}^{2} \\ = > 100 + 100 = {x}^{2} \\ = > 200 = {x}^{2} \\ = > x = \sqrt{200} mm \\ = > x = \sqrt{2 \times 2 \times 2 \times 5 \times 5}mm \\ = > x = 2 \times 5 \sqrt{2} mm \\ = > x = 10 \sqrt{2} mm[/tex]
So, the length of the hypotenuse is 10√2 mm.Answer:
10√2 mm.
Hope you could get an idea from here.
Doubt clarification - use comment section.
What is the GCF of 14mn, 56m^2n^3, 28m^3n^2?
a) 7m^2n^2
b) 7mn
c) 14m^3n^3
d) 14m^2n^2
e) 14mn
Answer:
e) 14mn.
Step-by-step explanation:
The GCF of 14, 56 and 28 is 14,
The GCF of m, m^2 and m^3 is m.
The GCF of n, n^2 and n^3 is n.
The answer is therefore 14mn.
Meg visited her Aunt Clare for lunch. After they ate, Aunt Clare made tea. She put the same amount of black tea and milk in both their cups, but Meg decided to add some extra milk to hers. Which cup of tea was darker after they had finished adding milk?
Answer:
Aunt Clare
Step-by-step explanation:
Milk makes tea weaker, therefore the one with less milk (Aunt Clare's) is darker.
Answer:Aunt clares is darker
Which graph represents the equation y= −4/3x − 2
Answer:
C -- see attachment
Step-by-step explanation:
The graph you're looking for has a y-intercept of -2 (as they all do) and a negative slope that is steeper than -1. It will have a "rise" of -4 for each "run" of 3, so point (-3, 2) will also be on the graph.
The graph shown in the attachment is the one you're looking for.
_____
Two of the offered graphs have negative slope. One (B) has a slope of -3/4, so is not the correct graph. The other (C) has a slope of -4/3. It is attached.
Easy peace math problem
Answer:
225/10=441/l
cross multiply
225l=10*441
225l=4410
l=4410/225
l=19.6 liters of gas
Step-by-step explanation:
l=19.6 liters of gas
A print shop at a community college in Cupertino, California, employs two different contractors to maintain its copying machines. The print shop needs to have 12 IBM, 18 Xerox, and 20 Canon copying machines serviced. Contractor A can repair 2 IBM, 1 Xerox, and 2 Canon machines at a cost of $800 per month, while Contractor B can repair 1 IBM, 3 Xerox, and 2 Canon machines at a cost of $1000 per month. What is the minimum cost to employ the contractors? Round your answer to the nearest whole number. Do not include a dollar sign or comma in your answer.
The cost to employ the contractors is $11250
The general cost to employ someone is between 1.25 and 1.40 of their real wage. This means the real wage is lower than the cost to employ that person.
Moreover, to determine the cost to employ the contractors, we need to determine their total wage:
Contractor A: $800 (Includes the repairment of 2 IBM, 1 Xerox, and 2 Canon machines).Contractor B: $1000 (Includes the repairment of 1 IBM, 3 Xerox, and 2 Canon machines.Total: $1800 to repair 3 IBM, 4 Xerox, and 4 Canon machinesTotal machines to be repaired: 12 IBM, 18 Xerox, 20 Canon machines.Now, for all the machines to be repaired you will need to pay a total of $9000
$1800 x 5 = $ 9000 (Includes the repairment of 15 IBM, 20 Xerox, and 20 Canon machines, which will cover all the machines you need).Finally, let's find out the cost using the minimum rate.
$9000 x 1.25 = $11,250
Learn more about general cost in: https://brainly.com/question/3902215
Answer:
$8800
Step-by-step explanation:
Let x be the number of months contract A is employed and let y be the number of months contractor B is employed. Since we are trying to minimize cost, our objective function represents the total cost to employ contractor A and contract B. This function is defined by
C(x,y)=800x+1000y
The first constraint is that the company needs to have 12 IBM copying machines serviced and we know that contractor A can repair 2 IBM copying machines and contractor B can repair 1 IBM copying machines. This translates into the following inequality.
2x+y≥12
The second constraint is that the company needs 18 Xerox copying machines serviced and we know that contractor A can repair 1 Xerox copy machines while contractor B can repair 3 Xerox copy machines. This translates into the following inequality.
x+3y≥18
The third constraint is that the company needs 20 Canon copying machines serviced and we know that contractor A and contractor B can repair 2 Canon copy machines each. This translates into the following inequality.
2x+2y≥20
The fact that x and y must be positive numbers is represented by the following two constraints:
x≥0,y≥0
Using all of this information, our problem is as follows.
Minimize: C(x,y)=800x+1000y
Subject to: 2x+y≥12
x+3y≥18
2x+2y≥20
x≥0
y≥0
The corner points are:
(0,12),(18,0),(2,8),(6,4)
The point (6,4) gives lowest cost: $8800
ASAP HELP *Can a triangle have sides with the given lengths? Explain, showing all the work
9 cm, 11 cm, 15 cm
please Explain
Answer:
yes
Step-by-step explanation:
For the sides to form a triangle , then the sum of any 2 sides must be greater than the third side
9 + 11 = 20 > 15
9 + 15 = 24 > 11
11 + 15 = 24 > 9
The 3 sides given will form a triangle
Note that
The length of any two sides must be greater than the third side
So
9+11=16>1511+15=26>99+15=24>11Yes it's a triangle
An item is regularly priced at $55. Miguel bought it on sale for 40% off the regular price. How much did miguel pay?
Answer: so Miguel payed $33
steps:
1. first find what 40% of $55 which gives us $22
2. Final Price = Original Price - Discount
Final Price = 55 - 22
Final Price = $33.00
PLEASE HELP QUESTION IN PICTURE
Answer:
16 units
Step-by-step explanation:
Plz help with this question.
Answer:
[tex]Both \: the \: moon \: and \: earth \: are \: in \: \\ the \: shape \: of \: spheres. \\ Surface\: area \: of \: a \: sphere \: of \: radius \: 'r' \\ [/tex]
Let d1 be the diameter of the moon and d2 and be the diameter of the earth.Let r1 be the radius of the moon and r2 be the radius of the earth.
[tex]given \: d1 = \frac{1}{4}d2 \\ = > 2r1 = \frac{1}{4} ×2r2 \\ =>r1 = \frac{1}{4}×r2 \\ Now, \: ratio \: of \: \: their \: surface \: areas \: is: \\ = s1: s2 \\ = r {1}^{2}: r {2}^{2} \\ = {1}^{2 } : {4}^{2 } \\ =1:16[/tex]
hope it helps youAnswer:
look below :)
Step-by-step explanation:
Ok so the formula for the area of a triangle is (l x w) / 2
and the formula for the area of a square is l x w.
The area of the square is 2 x 2 = 4.
so the area of the square = 4cm²
the area of the triangle is 2 x 4 = 8.
8 / 2 = 4
so the area of the triangle is also 4cm².
Hope this helped!
Ayudaaaaaa es para hoy
Answer:
Step-by-step explanation:
a (2³)² = 2³ˣ² = 2⁶
b (7⁰)¹ = 7⁰ˣ¹ = 7⁰ = 1
c (5⁶)³ = 5⁶ˣ³ = 5¹⁸
d (6²)⁴ = 6²ˣ⁴ = 6⁸
e (8³)⁴ = 8³ˣ⁴ = 8¹²
f (4³)² = 4³ˣ² = 4⁶
g (9¹)² = 9¹ˣ² = 9² = 81
h (3⁷)² = 3⁷ˣ² = 3¹⁴
i (10²)³ = 10²ˣ³ = 10⁶
j (11²)⁴ = 11²ˣ⁴ = 11⁸
omg guys pls help me, its due at 5pm
Answer:
1) 3:4
Step-by-step explanation:
Answer:
1. 3 ratio 5
2. 4 ratio 4
3. 2 ratio 5
4. 2 ratio 4
Four people can paint a fence in 6 hours how long would three people take to paint it?
Answer:
8 hours
Step-by-step explanation:
4 people = 6 hours
→ Work out how long 1 person takes
1 person = 24 hours
→ Work out how long 3 people takes
3 people = 8 hours
a pair of shoes is 80 dollars they are %25 off. how much money is %25 of 80 dollars
Answer
55$
Step-by-step explanation:
Solve the equation 3(2x + 2) = 3x - 15.
Ox=-7
17
Ox=-
Ox=3
Ox=7
Simplify:
6x + 6 = 3x - 15
Now use all solutions
6(7) + 6 = 3(7) - 15
42 + 6 = 21 - 15
Nearly, you can tell it doesn't work.
6(-7) + 6 = 3(-7) - 15
-42 + 6 = -21 - 15
-36 = -36
So, -7 is x.
Answer:
[tex] \pmb{3(2x + 2) = 3x - 15}[/tex]
[tex] \: \: \: \rightarrow \: {6x + 6 = 3x - 15}[/tex]
[tex] \: \: \: \rightarrow \: {6x - 3x = 15 + 6}[/tex]
[tex]\: \: \: \rightarrow \: {3x = 21}[/tex]
[tex]\: \: \: \rightarrow \: {x = \displaystyle{{ \frac{21}{3} }}}[/tex]
[tex]\: \: \: \pmb\rightarrow \: { \pmb{x = 7}}[/tex]
how do i write 125 as a repeated multiplication of 5s
Step-by-step explanation:
Multiply 5 by itself until you get 125.
someone can help me with this
Answer:
x < -7/3
x [tex]\geq[/tex] 5
Step-by-step explanation:
For the first part:
3x + 10 < 3 subtract 10 from the both sides of the inequation
3x < -7 divide both sides by 3
x < -7/3
For the second part:
2x - 5 [tex]\geq[/tex] 5 add 5 to both sides of inequation
2x [tex]\geq[/tex] 10 divide both sides by 2
x [tex]\geq[/tex] 5