Answer:
(-7, -1)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityAlgebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
5x - 9y = -26
-2x + 3y = 11
Step 2: Rewrite Systems
-2x + 3y = 11
Multiply everything by 3: -6x + 9y = 33Step 3: Redefine Systems
5x - 9y = -26
-6x + 9y = 33
Step 4: Solve for x
Elimination
Combine 2 equations: -x = 7Divide -1 on both sides: x = -7Step 5: Solve for y
Define equation: 5x - 9y = -26Substitute in x: 5(-7) - 9y = -26Multiply: -35 - 9y = -26Add 35 on both sides: -9y = 9Divide -9 on both sides: y = -1Answer:
x= -7
y= -1
Step-by-step explanation:
5x-9y= -26..............(1)
-2x+3y= 11...............(2)
5(-2x+3y= 11)
-10x +15y = 55................(3)
2(5x-9y= -26)
10x-18y= -52.....................(4)
Add equation 3&4
-10x+15y= 55
10-18y= -52
-3y= 3
y= -1
put y= -1 into equation ............(3)
-10x+15y= 55
-10x+15(-1)= 55
-10x-15 = 55
-10x= 55+15
-10x= 70
x= -7
Therefore;
x= - 7 and y= - 1
find the odds of an event occurring, given the probability 1/11
Answer:
1:10
Step-by-step explanation:
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Answer:
3/2 = X
Step-by-step explanation:
what is the correct prime factorization of 24?
Answer:
24= 2*2*2*3= 2^3*3
Step-by-step explanation:
Answer:
prime factorization of 24 = 2 * 2 * 2 * 3 = 2^3 * 3
Step-by-step explanation:
List the first several prime numbers: 2, 3, 5, 7, 11, 13, ...
Now start with 2. Divide 24 by 2 as many times as possible. Then move on to 3, to 5, etc. until you end up with 1.
Divide only by prime numbers.
Start by dividing 24 by 2:
24/2 = 12 12 is divisible by 2, so divide 12 by 2.
12/2 = 6 6 is also divisible by 2, so divide 6 by 2.
6/2 = 3 Since 3 is not divisible by 2, move onto 3.
3/3 = 1 When you get to 1, stop. The prime factors are all the prime numbers in boldface that you divided by.
prime factorization of 24 = 2 * 2 * 2 * 3 = 2^3 * 3
A shirt is on sale for 1 the original cost, what would be an equivalent decimal and
percent for
ONE
?
Decimal
Percent
Answer:
0.2 is the answer...........
A house worth £80,000 in January 2012 is set to decrease in value by 7% per year.
A more optimistic forecast suggests that the value of the house will increase by 4% per year. According to this forecast, how much will the house be worth in January 2015?
Answer:
The house would be worth £89989.12 in January 2015.
Step-by-step explanation:
With respect to the optimistic forecast, the value of the house will increase by 4% per year.
For the first year (January 2012 to January 2013),
4% of £80000 = 0.04 x £80000
= £3200
The cost of the house = £80,000 + £3200
= £83200
For the second year (January 2013 to January 2014), we have;
4% of £83200 = 0.04 x £83200
= £3328
The cost of the house = £83200 + £3328
= £86528
For the third year (January 2014 to January 2015), we have;
4% of £86528 = 0.04 x £86528
= £3461.12
The cost of the house = £86528 + £3461.12
= £89989.12
According to the forecast, the house would be worth £89989.12 in January 2015.
is 5.778777... a rational number
Answer:
yes
Step-by-step explanation:
it is a rational number
I need help with this one can someone tell me??
Answer:
x=22 y= 46
Step-by-step explanation:
2-24 2-48
Answer:
Equations are :---
[tex]3x - 2y = 24............... (i) \\ x + 2y = 48..................(ii)[/tex]
By adding the both equations we get,
[tex](3x - 2y) + (x + 2y) = 24 + 48 \\ 4x = 72 \\ x = \frac{72}{4} \\ \boxed{ x = 18} \\ [/tex]
Putting the value of x in equation (ii) we get
[tex]18 + 2y = 48 \\ 2y = 48 - 18 \\ 2y = 30 \\ y = \frac{30}{2} \\ \boxed{y = 15}[/tex]
Therefore, x=18 and y=15 is the right answer.hiii please help i’ll give brainliest if you give a correct answer ty!!
Answer: 1.5 hours
Step-by-step explanation:
14 times in 21 hours
1 time would be 21 ÷ 14
21 ÷ 14 = 1.5
It took 1.5 hours to orbit the earth 1 time
Hope I helped!
Select the FALSE statement
A) Dilations either increase or decrease the lengths of line segments.
B) Dilations increase angle measures.
C) A dilated triangle is similar to the original triangle.
D) Dilations are a type of transformation
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Answer:
B) Dilations increase angle measures.
Step-by-step explanation:
Dilations have no effect on angle measures, but they uniformly change the size and spacing of line segments. They are a non-rigid transformation that leaves geometric figures similar to the original.
The false statement is B.
c) 2×x×3×y
im just typing now bc it says i need 20 characters but yh
Answer:
the answer is 6xy , hopefully that helped you
Answer:
2x^9 x
Step-by-step explanation:
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "x3" was replaced by "x^3".
STEP 1 :
Multiplying exponential expressions :
1.1 x4 multiplied by x3 = x(4 + 3) = x7
The Equation at the end of step 1 :
((2x7 • x) • x) • y
STEP 2: Final result :
2x^9 y
Hope this helps!
Brain-List?
Help me Pls U WILL GET BRAINLISTED
Answer:
(1/3)(9x+27) > x + 33
multiply out the 1/3
3x + 9 > x + 33
subtract x and 9 from both sides
2x > 24
x > 12
D) because you dont include the 12
Step-by-step explanation:
Help I don’t understand please help
Answer:
x = 9.9 (or √98) (or 98¹/²)
y = 7
Step-by-step explanation:
triangle is equilateral right triangle, y = 7
x² = 7² + 7² = 98
x = 9.9 (or √98) (or 98¹/²)
. Trent’s mom said he could spend no more than
$12 for rides at the carnival. If the rides cost
$0.75 each, how many rides can he go on?
thanks for the help..
Answer:
16 rides
Step-by-step explanation:
If he has $12 in total and each ride costs 75 cents, you can divide 12 by .75 to find how many rides he can go on.
12/0.75 = 16
Gasoline costs $3.65 a gallon Which is an estimated cost of 14.2 gallons of gasoline?
Answer:
the answer is $51.83
Step-by-step explanation:
Answer:
40 or 56 because 3.65 x 14.2 is gonna equal 51.83
1000cm in the ratio of 4:5:6
Step-by-step explanation:
4+5+6=1000
1000/15
4 . 5. 6= 266.4 . 333. 399
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Answer:
266 2/3 : 333 1/3 : 400
Step-by-step explanation:
The total of ratio units is 4+5+6 = 15, so the fraction of 1000 that each portion represents is ...
4/15 : 5/15 : 6/15 = 4/15 : 1/3 : 2/5
Multiplying 1000 by these fractions gives ...
1000(4/15) : 1000/3 : 1000(2/5)
= 266 2/3 : 333 1/3 : 400
100th term for 5, 2, -1
Answer:
100th term = -1485
Step-by-step explanation:
Arithmetic Progressionthe nth term, Tn:[tex]t_{n} = a + (n - 1)d[/tex]
n = number of terms
= 100
a = first term
= 5
d = difference
= second term - first term
= 2 - 5
= -3
substitute the values into the formula
[tex]t_{100} = 5(100 - 1)( - 3)[/tex]
[tex]t_{100} = 5(99)( - 3)[/tex]
[tex]t_{100} = 495( - 3)[/tex]
[tex]t_{100} = - 1485[/tex]
At a lemonade stand, pink lemonade costs $2.50 and sweet tea lemonade costs $4. In one morning, the stand sells 21 drinks for $67.50. How many pink lemonades were sold?
Answer:
lemonade = 11
Step-by-step explanation:
let p = pink lemonade
let t = sweet tea
create a system of equations -- one with quantity, one with associate costs
p + t = 21
2.5p + 4t = 67.5
substitution method: let t = 21 - p
2.5p + 4(21 - p) = 67.5
2.5p + 84 - 4p = 67.5
-1.5 p = -16.5
p = 11
t = 21 - 11
t = 10
Any help on this question?
Answer:
50%
Step-by-step explanation:
Total students = 12 + 18 + 6 = 36
Seventh-graders = 18
18/36*100 = 50%
Answer:
Step-by-step explanation:
12 are 6th graders
18 are 7th graders
6 are eight graders
total=36
7th graders are 50%
18........................?%
36.........................100
18*100/36=50
Find the measure of each acute angle.
3xº
2x
19
3.2
and 20
Right angled triangle ✅
90° + 3x + 2x = 180° {sum}
5x = 90
x = 90/5 = 18
x = 18
acute angle : 3x = 3 × 18 = 54°
2x = 2 × 18 = 36°
Coupon A: off 30% of $63 shoes
What are the slope and the y-intercept of the linear function that is represented by the graph?
At least two teachers must accompany every five elementary students on a field trip. If 45 students are going
on the trip, what is the minimum number of teachers needed?
Answer:
9
Step-by-step explanation:
divide 5 into 45 which equals 9
Answer:
The minimum number of teachers needed for this trip is 18.
Step-by-step explanation:
The slope for this is 5/2. So the equation is y = (5/2)x. We know the y is 45 students. So we do division. In the end, we get x = 18 teachers.
This photo is the problem I have to solve for x help please
Answer:
1
Step-by-step explanation:
Find square roots of
0.81
Answer:
0.9
Step-by-step explanation:
hope it helps
.....................
Answer:
The square root of 0.81 is equal to 0.9
A circle has an area of 1809.5573. What is the radius? (round to the nearest whole number)
Answer:
2000.000000000000000000
Answer:
r≈24
Step-by-step explanation:
The radius is 23.999999545959 but once rounded to the nearest whole number that is 24
solve
thanks and give how you done it too
Answer:
x = 4
Step-by-step explanation:
7x + 16/11 = 4
11 x 7x + 16/11 = 4 x 11
7x + 16 = 44
7x + 16 - 16 = 44 - 16
7x = 28
7x/7 = 28/7
x = 4
Check:
7x + 16/11 = 4
7(4) + 16/11 = 4
28 + 16/11 = 4
44/11 = 4
4 = 4 (note that this number is not the answer, just to check if each side is balanced, the actual answer is 4)
Bam !
Hope this helps ^w^
Answer:
x = 4
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityStep-by-step explanation:
Step 1: Define
[tex]\displaystyle \frac{7x + 16}{11} = 4[/tex]
Step 2: Solve for x
Multiply 11 on both sides: [tex]\displaystyle 7x + 16 = 44[/tex]Subtract 16 on both sides: [tex]\displaystyle 7x = 28[/tex]Divide 7 on both sides: [tex]\displaystyle x = 4[/tex]Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: [tex]\displaystyle \frac{7(4) + 16}{11} = 4[/tex][Frac] Multiply: [tex]\displaystyle \frac{28 + 16}{11} = 4[/tex][Frac] Add: [tex]\displaystyle \frac{44}{11} = 4[/tex][Frac] Divide: [tex]\displaystyle 4 = 4[/tex]Here we see that 4 does indeed equal 4.
∴ x = 4 is the solution to the equation.
Please help! Lauren is 16, and Cara is 14. Their grandad gives them $1200 to share in the ratio of their ages. How much money do they each get? Show your work
Answer:
16/14= 8/7 = lauren/ cara
8x+7x= 1200
15x= 1200
x= 1200/15
x=80
lauren= 8x= 8(80)= 640
cara= 7x= 7(80)= 560
Step-by-step explanation:
Ms. Emily buys a hat and gloves with a coupon for 30% off her entire purchase. The glove cost $35 before the discount. Her bill before tax is 44.80
Answer:
Step-by-step explanation:
Okay, I'm assuming you want us to figure out how much the hat costs.
To start off, let's figure out how much the gloves cost after the discount. 35 / 100= 0.3. We multiply that by 70%, since that is how much of the price is going to be left over after deducting 30%. We get $24.50.
So;
$44.80 of the total bill - $24.50=$20.30.
So we now know the hat cost $20.30.
Find the range of the given data set.
-4, -3, -1, -1, 0, 1
-3
3
5
-5
Answer:
10
Step-by-step explanation:
Range of data = Highest value - Lowest value
Here,
Highest value = 5
Lowest value = -5
Range = 5 - (-5)
= 5 + 5
= 10
HELP ME PLEASE 50PT PLEASE AND TY
Answer:
1) c. 10 1/2 + 1/2 m > 14
2)
[tex]x\leq 3[/tex]
hope this helped
Answer:
how to do this
Step-by-step explanation:
i need it