[tex]\huge\text{Hey there!}[/tex]
[tex]\large\textsf{4(x + 3) - 10 = 6(x -2)}\\\large\textsf{4(x) + 4(3) - 10 = 6(x) + 6(-2)}\\\large\textsf{4x + 12 - 10 = 6x - 12}\\\large\textsf{4x + 2 = 6x - 12}\\\large\text{SUBTRACT 6x to BOTH SIDES}\\\large\textsf{4x + 2 - 6x = 6x - 12 - 6x}\\\large\text{SIMPLIFY IT!}\\\large\text{NEW EQUATION: \textsf{-2x + 2 = -12}}\\\large\text{SUBTRACT 2 to BOTH SIDES}\\\large\textsf{-2x + 2 - 2 = 6x - 12 - 6x}\\\large\text{SIMPLIFY IT!}\\\large\textsf{-2x = -14}\\\large\text{DIVIDE -2 to BOTH SIDES}[/tex]
[tex]\mathsf{\dfrac{-2x}{-2}= \dfrac{-14}{-2}}\\\large\text{CANCEL out: }\rm{\dfrac{-2}{-2}}\large\text{ because it gives you 1}\\\large\text{KEEP: }\rm{\dfrac{-14}{-2}}\large\text{ because it helps solve for the x-value}\\\large\text{NEW EQUATION: }\mathsf{x = \dfrac{-14}{-2}}\\\large\text{SIMPLIFY IT!}\\\large\textsf{x = 7}\\\\\\\huge\boxed{\text{Therefore, your answer is: \boxed{\textsf{x = 7}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Graph the image of the figure using the dilation given)
Answer:
[tex]I(-1,0) \to I \ ' \ (-0.25,0)\\\\J(-1,1) \to J \ ' \ (-0.25,0.25)\\\\K(2,2) \to K \ ' \ (0.5, 0.5)\\\\L(2,-1) \to L \ ' \ (0.5,-0.25)\\\\[/tex]
======================================================
Explanation:
The fraction 1/4 is equivalent to the decimal form 0.25
We multiply 0.25 with each coordinate, of each point.
For example, let's focus on point L which is at (2,-1)
x = 2 becomes x = 0.25*2 = 0.5y = -1 becomes y = 0.25*(-1) = -0.25Point L(2,-1) moves to L ' (0.5, -0.25) which will move it closer to the origin, which shrinks the image. Use this idea for the remaining points.
Note: this trick only works if the center of dilation is the origin.
From a hot-air balloon, Mariana measures a 40° angle of depression to a landmark that's 1165 feet away, measuring horizontally. What's the balloon's vertical distance above the ground? Round your answer to the nearest hundredth of a foot if necessary.
Here is the set up:
Let h = balloon's vertical distance.
sin(40°) = h/1165
sin(40°)(1165) = h
748.847565
748.85 feet = h
Done.
The balloon's vertical distance above the ground is 1388.40 feet to the nearest hundredth.
What is division?The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.
Given:
From a hot-air balloon,
Mariana measures a 40° angle of depression to a landmark that's 1165 feet away, measuring horizontally.
Let h be the vertical distance.
Use tanθ = perpendicular / base
Here, perpendicular = 1165 feet and base = h and θ = 40°
Substituting the values,
tanθ = perpendicular / base
tan40° = 1165 / h
h = 1165 / tan40
h = 1165 / 0.839095
h = 1388.40059 feet.
h ≈ 1388.40 feet to the nearest hundredth.
Therefore, vertical distance is 1388.40 feet
To learn more about the division;
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#SPJ5
Suppose a 5-digit number is formed using the digits from 1 to 9 (without replacement). What is the probability that it will be an even number?
Answer:
First take 5 empty. Digits.The no of digits are 9 (1-9).The last no must be even so . The total no of even no’s . Are 4 (2,4,6,8)The probability of last digit is 4There are remaing 8 digits so. Place them where. U required. The probability are. 8, 7,6,5(no reputations)The final answer is 4*8*7*6*5=6720 waysAnswer:
0.444 (44.4%)
Step-by-step explanation:
All possible ending: 1,2,3,4,5,6,7,8,9 ... 9
ending with 2,4 6,8 to make even number: 4
___ ___ ___ ___ ___
even number : 8 * 7 * 6 * 5 * 4
All 5 digit without repeating: 8 * 7 * 6 * 5 * 9
possibility = (8*7*6*5*4) / (8*7*6*5*9)
= 4/9
= 0.444 (44.4%)
_______________________________________________
(4 * ₈P₄) / (9 * ₈P₄) = 4/9
Add 8.563 and 4.8292. then times the answer by 9.183 divide it 2 times by 1.192. Add to the answer with this number after your finished: "19.323
Answer:
105.876373581
Step-by-step explanation:
8.563 + 4.8292 = 13.3922
13.3922 × 9.183 = 122.9805726
122.9805726 ÷ 1.192 = 103.171621309
103.171621309 ÷ 1.192 = 86.5533735811
86.5533735811 + 19.323 = 105.876373581
Step-by-step explanation:
8.563+4.8292=A
( A*9.183)÷1.192÷1.192=B
B+19.323=C
PLEASE SOMEONE HELP ME OH LORD PLEASE I BEG U
Answer:
It's 30 because there is an average of 30 days in a month and the person has to take 1mg a day for a month
Step-by-step explanation:
Hope this helps
May I get braineist pls?
5. Maribel makes bead necklaces. She uses a
ratio of 4:2:3 when threading green, brown and
yellow beads on the wire. How many green and
yellow beads will Maribel use for a necklace
Icontaining a total of 117 beads?
A. 52 green beads; 39 yellow beads
B. 52 green beads; 26 yellow beads
C. 26 green beads; 52 yellow beads
D. 39 green beads; 52 yellow beads
Answer:
A. 52 green beads; 39 yellow beads
Step-by-step explanation:
See the attachment. If we take the ratios of 4, 2 , and 3, they add to 9. The
Green (G), Blue (B), and Yellow (Y) will have 4/9, 2/9 and 3/9 each of the total beads, 117.
G: 52 Beads
B: 26 Beads
Y: 39 Beads
Curtis has a board that is 3/4 of a yard long he cuts it to make shelves that are 1/8 of a yard long how many shelves will there be after he cuts the board ?
The number of shelves would be 6.
The length of the board and the shelves are fractions. A fraction is made up of a numerator and a denominator. An example of a fraction is 1/8. 1 is the numerator and 8 is the denominator.
In order to determine the number of shelves Curtis cut, we would divide the length of the board by the length of each shelf.
Number of shelves = length of the board / length of the shelf
3/4 ÷ 1/8
3/4 x 8 = 6
To learn more about the division of fractions, please check: https://brainly.com/question/25779356
24,761 divided by 24
Answer:
1031.70833333
Step-by-step explanation:
Find the missing side in the similar figures below
Answer:
e
Step-by-step explanation:
24*5/3=40
Find the inverse of the matrix A=
[4 -5]
[-7 9]
Answer:
hope this answer is right 71/45
23x25 = please help
Answer:
575
Step-by-step explanation:
23/4 = 5.75 times 100
Answer:
575
Step-by-step explanation:
23×25=575 so 575 would be your answer
What is the scale factor k? The hummingbird nectar recipe is 4 cups of
water to every 1 cup of sugar. If I double the recipe, I will need 8 cups of
water and 2 cups of sugar. If I want half of the recipe, I would need 2 cups
of water and 1/2 cup of sugar. What is the scale factor of water to sugar?
k=
Answer:
2
Step-by-step explanation:
Scale factor of water to sugar=k
So,
k= amount of water/amount of sugar
=4 / 2
= 2 ANS
5x squared +1=4x-7 solve the equation using the quadratic formula
Answer:
Step-by-step explanation:
- B ± √ B2-4AC
x = ____________
2A
which will be
4 ± √ -144
x = _______
10
x =(4-√-144)/10=(2-6i)/5= 0.4000-1.2000
39 round to the nearest hundred
The following graph shows the system of equations?
PLS HELP
A candy store has 6 boxes of chocolates. Each box has 500 pieces How many pieces are there altogether in the 6 boxes?
Lucy borrowed $73,250 to purchase a home. The bank offered her an APR of 3.15% for a term length of 20 years. Excel calculates the monthly payment to be $411.77. If she were to pay only the minimum payment for the lifetime of the loan, how much will Lucy be paying in interest?
Amount Lucy will be paying in interest will be $38,596.2
Using the compound amount formula to get the amount after she will pay back after 20 years expressed as:
[tex]A =P(1+\frac{r}{n} )^{nt}[/tex]
A is the amount after 20 yearsr is the rate = 3.15% = 0.0315time in years = 20 yearsn is the compounding time = 12 (monthly)P is the amount borrowed = $73,250Substitute the parameters into the formula;
[tex]A=73,250(1+\frac{0.0315}{12} )^{20(12)}\\A= $73,250 (1.8761)\\A= \$137,421.49[/tex]
If Excel calculates the monthly payment to be $411.77, the amount paid for 20 years will be $411.77 * 240months = $98,824.8
Amount Lucy will be paying interest will be $137,421- $98,824.8 = $38,596.2
Learn more on compound interest here: https://brainly.com/question/24924853
Please help for brainliest!!:)
Answer:
d)
Step-by-step explanation:
we know, that i = sqrt(-1)
so, i² = -1
i³ = -i
i⁴ = -i × i = - -1 = 1
i⁵ = i⁴×I = 1×i = i
and the cycle begins again for any higher exponents.
so, we find out what i^n is, by dividing n by 4 and look at the remainder.
remainder = 0, i^n = 1
remainder = 1, i^n = i
remainder = 2, i^n = -1
remainder = 3, i^n = -i
so, what is 139 in this regard ?
139 ÷ 4 = 34
remainder 3
so, i¹³⁹ = -i
a) 322 ÷ 4 = 80
remainder 2. not equivalent.
b) 304 ÷ 4 = 76
remainder 0. not equivalent.
c) 221 ÷ 4 = 55
remainder 1. not equivalent.
d) 239 ÷ 4 = 59
remainder 3. this IS equivalent.
If a triangle has a base of 6' and a height of 4' its area would be what?
A= bxh 2
A= 6x4 2
A= 12 sq. ft.
Answer:
Hello There!
According to the question,
Base=6
And
Height =4
Let's know the formula
[tex] \frac{1}{2} \times base \times height \\ so \\ \frac{1}{2} \times 6 \times 4 \\ [/tex]
simplify 2 with 6 then it will look like this
[tex] \frac{1}{1} \times3 \times 4 \\ \\ [/tex]
1 has no value so
[tex]3 \times 4 = 12 {ft}^{2} \\ [/tex]
So third option
[tex]a = 12 {ft}^{2} [/tex]
is correct.
[tex]\Large\textsf{Hope \: It \: Helped}[/tex]
Answer:
Area = 12 sq ft
Step-by-step explanation:
The formula to find the area of a triangle is
1/2 bh so we will replace the letters with their number value
1/2 (6x4)
1/2 x 24 = 12
So, 12 is your answer!
why do these sisters have different traits?
Answer: because dna is game of chance
Step-by-step explanation: hope it helps
Help help math math good luck
Please look for the question in the picture.
it will be c
as
negative with negative erased together
A passenger plane flew from Texas to Frankfurt and back. The round trip is 9900 km.
return trip took 4 hours less than the trip to Frankfurt because of the 50 km/hr wind over the ocean on the return trip. Assume there was no wind on the trip to Frankfurt. Let x km/hr represent the average speed of the plane in still air.
We want to find the average speed of the plane in still air, we will get that the average speed of the plane in still air is 355.3 km/hr
So we know that the total trip is 9900km, so from Texas to Frankfurt the distance is half of that:
9900km/2 = 4950km
Now, The speed of the plane in still air is x km/hr
The speed of the air is 50 km/hr, and it flows from Frankfurt to Texas.
So in the first part of the trip, the wind blows in opposite direction to the motion of the plane, thus the speed of the plane will be:
(x - 50) km/hr
While in the return trip the wind blows in favor of the plane, in this case, the speed is:
(x + 50)km/hr
Then if the first part of the trip lasts for T hours (the second for T - 4 hours) we can write the system of equations:
(x - 50)*T = 4950
(x + 50)*(T - 4) = 4950
Where I removed the units so it is easier to read.
If we isolate T in the first equation we get:
T = 4950/(x - 50)
Now we can replace this in the other equation to get:
(x + 50)*(4950/(x - 50) - 4) = 4950
If we multiply both sides by (x - 50) we get:
(x + 50)*4950 - 4*(x + 50)*(x - 50) = 4950*(x - 50)
Now we can solve this for x:
(x + 50)*4950 - 4*(x^2 - 2500) - 4950*(x - 50) = 0
100*4950 - 4*(x^2 - 2500) = 0
495000 - 4*x^2 + 10000 = 0
505000 = 4*x^2
√(505000/4) = x = 355.3
The average speed of the plane in still air is 355.3 km/hr
If you want to learn more about systems of equations, you can read:
https://brainly.com/question/13476446
A
Hilda has a bank account balance of $1550. Each week, her balance changes by −$82.50. She wants to keep the balance above $395.
How many weeks will Hilda's balance remain above $395?
Select from the drop-down menu to correctly complete the statement.
Hilda's bank balance will remain above $395
Choose...
weeks.
Step-by-step explanation:
1550 - 395 = 1155
1155 / 82.5 = 14
Answer should therefore be 14 weeks.
Not my usual way of doing this sort of question but I'm interested to see if it's right. Alternatively you can subtract $82.50 from $1550 until/before you reach $395. Do not go below $395 though.
Answer:
K12 Answer
Step-by-step explanation:
Shen borrowed $8000 at a rate of 17%, compounded quarterly. Assuming he makes no payments, how much will he owe after 6 years?
Lashonda finished a race in 5 minutes. How many seconds is this
Answer:
300 seconds
Step-by-step explanation:
There are 60 seconds in a minute. If there are 5 minutes, you have to multiply 5 by 60.
5 x 60 = 300
-hope it helps
Answer:
360 sec
Step-by-step explanation:
this is because 60sec is one mintute
so 60x5= 360
How many pennies dose Michael please help please I need your help please please please please help
Answer: He has 91, to figure this out count everything in top row which is 13 and then count everything in left row only which is 7 and 13 x 7 is 91
Step-by-step explanation:
How do I multiply minted numbers? Please explain step by step to get marked as brainliest
Answer:
Step-by-step explanation:
if the length of a cuboid is 60cm and width 40cm and its surface area is 14800cm² find its height
Please Guyz I Want Full Solved Not Just Answer Please
Answer:
50 cm
Step-by-step explanation:
let x be the heigth we are looking for.
Each rectangle that covers the cuboid is the product of two dimensions [tex](60\cdot40;\ 60x;\ 40x)[/tex]
Since it's a cuboid, we assume opposite sides are equal.
So each rectangle is counted twice:
[tex]Area=2(60\cdot40+60x+40x)=14800[/tex]
Now, we just isolate x:
[tex]60\cdot40+60x+40x=7400\\2400+100x=7400\\100x=5000[/tex]
Answer:50 cm
ricky is a hardworking man who owns 6 hectares of land. in his will,he divided his lot equally among 7 sons. how much land will each of his son receive?
a. 0.68
b. 0.86
c. 68
d. 86
ricky is a hardworking man who owns 6 hectares of land. in his will,he divided his lot equally among 7 sons. how much land will each of his son receive?
a. 0.68
b. 0.86
c. 68
d. 86
Answer:-Given,Land owned by Ricky = 6 hectares
No. of sons = 7
Now,6 ÷ 7 = 0.8571429 or 0.86
→ Each son will own 0.86 hectares of land. Option b. 0.86 is the answer.