Answers
Step-by-step explanation:
The given equation is :
[tex]\dfrac{14+10x}{12}=-3[/tex]
Cross multiply,
[tex]14+10x=-3\times 12\\\\14+10x=-36\\\\10x=-36-14\\\\10x=-50\\\\x=-5[/tex]
This equation will have only one solution.
We can check the solution as follows :
Put x = -5 in LHS of the the given equation.
[tex]\text{LHS}=\dfrac{14+10x}{12}\\\\=\dfrac{14+10(-5)}{12}\\\\=\dfrac{14-50}{12}\\\\=\dfrac{-36}{12}\\\\=-3[/tex]
= RHS
Hence, this is the required solution.
Related Questions
Luis wants to buy a skateboard that usually sells for $79.76. All merchandise is
discounted by 12%. What is the total cost of the skateboard if Luis has to pay a state
sales tax of 6.25%. Round your intermediate calculations and answer to the nearest
cent.
Answers
Answer:
$75.14 is the correct answer
Answer:
ert4tt45poti3905835049098534085983344533453
Step-by-step explanation:5
34534534353433434
5
3
5
3
45
3
543
354
3
53
4
53
5
34
5
44543
353
Select all the correct answers.
Which sequences of transformations performed on shape I show its congruency to shape II?
a reflection across the x-axis, followed by a 90° clockwise rotation about the origin, and then a translation 5 units left
a reflection across the x-axis, followed by a 90° counterclockwise rotation about the origin, and then a translation 5 units right
a reflection across the y-axis, followed by a 90° clockwise rotation about the origin, and then a translation 5 units left
a reflection across the x-axis, followed by a 90° counterclockwise rotation about the origin, and then a translation 5 units left
a reflection across the y-axis, followed by a 90° counterclockwise rotation about the origin, and then a translation 5 units left
Answers
Answer:
A.a reflection across the x-axis, followed by a 90° clockwise rotation about the origin, and then a translation 5 units left
and
C. a reflection across the x-axis, followed by a 90° counterclockwise rotation about the origin, and then a translation 5 units left
Step-by-step explanation:
A toy company spends $1500 per day for factory expenses plus $8 to make each teddy bear. They sell the teddy bears for $12 a piece. Which equation could be used to find the number of bears x the company has to sell in one day to equal its daily cost?
A. 1500 + 8x = 12x
B. 1500 + 8x = 12
C. 8x = 12x + 1500
D. 12 + 8 = 1500
Answers
Answer:
Probably B
Step-by-step explanation:
Cole averaged 35 points per game in last year's Math Hoops season. This year he has increased his scoring by 30%. What is his new average score per game?
Answers
Answer:
45.5 points per gamesl
Step-by-step explanation:
Cole averaged 35 points per game in last year's Math Hoops season. This year he has increased his scoring by 30%. What is his new average score per game?
Step 1
We find how many points the score increase by
The percentage increase = 30%
Hence:
30% × 35 points
= 10.5 points
Step 2
His new average score =
Former score + increase
= 35 + 10.5
= 45.5 points per game
Please help i need an A
Answers
Answer:
(1) 820
(2) 1920
Step-by-step explanation:
(1) solving 20 x 41, using associative property.
20 * 41 = (2 x 10) x 41 = 2 x (10 x 41)
= 20 x 41 = 2 x 410
= 820 = 820
(2) distribute 32 as 30 + 2 and solve.
60 x 32
= 60 x (30 + 2) = 60(30) + 60(2)
= 1800 + 120
= 1920
7. Where is most of the Earth’s supply of water found?
A. in rivers
B. in lakes
C. in glaciers and icecaps
D. in the ground
Answers
Ocean water: 97.2 percent
Glaciers and other ice: 2.15 percent
Groundwater,: 0.61 percent
Fresh water lakes: 0.009 percent
Inland seas: 0.008 percent
Soil Moisture: 0.005 percent
Atmosphere: 0.001 percent
Rivers: 0.0001 percent.
HELP, i’m not good a triangles
Answers
Answer:
B
Step-by-step explanation:
SSS stand for Side Side Side, so the truangle must identify all it's sides. To identify sides it uses lines through the side like in B where 1 side has 1 line, 1 side has 2 lines, and the other side has 3 lines. That is the side identifiers, and because each side in B matches with 1 side in A, means that A and B are congruent because they have the same sides, so SSS.
This is confusing to explain, if you have any questions post them in the comments.
What is the answer to the question?
Help help help help me
This is very important (◕દ◕)
Answers
9514 1404 393
Answer:
C) √3
Step-by-step explanation:
The repeating decimals are both single digits, beginning at the decimal point. So, their equivalent is that digit divided by 9:
[tex]0.\overline{4}=\dfrac{4}{9}\\\\0.\overline{9}=\dfrac{9}{9}=1[/tex]
This means the given expression can be simplified to ...
[tex]\dfrac{3\sqrt{0.\overline{4}}+\sqrt{0.\overline{9}}}{\sqrt{3}}=\dfrac{3\sqrt{\dfrac{4}{9}}+\sqrt{\dfrac{9}{9}}}{\sqrt{3}}=\dfrac{3\cdot\dfrac{2}{3}+1}{\sqrt{3}}=\dfrac{3}{\sqrt{3}}=\boxed{\sqrt{3}}[/tex]
Triangles 1 and 2 are both isosceles. They each have a 30 degree angle. Explain why these triangles don't have to be similar to each other.
Answers
Step-by-step explanation:
Triangle 1 can have 30°, 75° and 75° angles whereas Triangle 2 can have 30°, 30° and 120° angles.
Since they do not have all 3 congruent angles, they are not similar.
12.65 − n = 9.63
Whats the answer?
Answers
Answer:
n = 3.02
Step-by-step explanation:
12.65 - n = 9.63
- n = 9.63 - 12.65
- n = - 3.02
-n/-1 = -3.02/-1
n = 3.02
Answer:
3.02
Step-by-step explanation:
Please help me I am in a hurry to go somewhere so please help quick
Three sisters are each less than 45 years old. The mode of their ages is 35. The range is 14. What is the mean of their ages? The median?
a.
29.7; 35
c.
35; 30.3
b.
30.3; 28
d.
30.3; 35
Please select the best answer from the choices provided
sorry about the answer choices being mixed up im still in a hurry
Answers
Answer:
I'm so sorry I don't know this answer but good luck
Answer: since it doesn't tell you how you get it.
Since the mode of the ages is 35 we know that at least two of the ages are 35. Since the range is 14 we know the third sister is not also age 35. Let x be the age of the third sister. Then we know either 35 - x = 14 or x-35 = 14 (depending if x is younger or older, respectively). Solving both of these gives x = 21 or x = 49. But all the sisters are under the age of 45, so x = 21. Hence, the ages of the sisters are
21, 35, 35.
So, the mean is (35+35+21)/3 = 91/3 =~ 30.3333 ...
The median is 35.
what is the answer to 7x8(8/2)
Answers
Answer:
224
Step-by-step explanation:
1. first divide 8/2 in the parentheses which will give you 4
2. Then multiply 4 to 8 which will give you 32
3. finally multiply 32 to 7 which will give you an answer of 224
Please give the highest value
Answers
Two sides of a triangle are two consecutive number, whose area is 17.5cm². Find the numbers
Answers
Answer:
The numbers associated with the triangle are 5.437 and 6.437 centimeters, respectively.
Step-by-step explanation:
Two numbers are consecutives, when their difference is equal to 1. The area of the triangle is determined by the following formula:
[tex]A = \frac{1}{2}\cdot n \cdot (n+1)[/tex]
[tex]A = \frac{1}{2}\cdot (n^{2}+n)[/tex]
[tex]A = \frac{n^{2}}{2}+\frac{n}{2}[/tex]
[tex]n^{2}+n = 2\cdot A[/tex]
Where [tex]n[/tex] is the shortest length of the triangle, measured in centimeters.
And we get the following second-order polynomial:
[tex]n^{2}+n -2\cdot A = 0[/tex] (1)
If we know that [tex]A = 17.5\,cm^{2}[/tex], then the shortest length of the triangle is:
[tex]n_{1} = 5.437\,cm[/tex] and [tex]n_{2} \approx -6.437\,cm[/tex]
Since length is a positive variable, the only possible solution is:
[tex]n\approx 5.437\,cm[/tex]
Then, the numbers associated with the triangle are 5.437 and 6.437 centimeters, respectively.
5{ 10 [6 + 9 ( 57 - 48 ) + 12]}
Answers
Answer:
230
Step-by-step explanation:
Following pemdas you do everything in the parentheses first and work outwards into the other parentheses
57-48=9
9x9= 81
6+81+12= 99
10(99)=990
5(990)= 4950
There are 40 students in a class and 36 of these students passed their Chemistry test.
What percentage of these students passed their test?
Answers
Answer:
90%
Step-by-step explanation:
To calculate a percentage, divide the smaller number into the larger one. 36 ÷ 40 = 0.9, which is equal to 90%.
Answer:
60% passed the test
Write the equation of this line in slope intercept form
Answers
Answer:
y = -10x + 60
Step-by-step explanation:
slope: rise/run = 10/-1x = -10x
y-intercept: 60
equation: y = mx + b,
y = -10x + 60
Ace Carlos
Answer:
y=-10x+60
Step-by-step explanation:
your first point is at 60
and it's going down by 10
5. Let's factorize the following numbers and express in exponential form
16
Answers
Answer:
2^4
Step-by-step explanation:
16 = 2x2x2x2 = 2 to the power of 4
Answer:
2^4
Step-by-step explanation:
Hope this helped have an amazing day!
I'll give brainliest to the right answer! I need help ASAP!
Answers
Answer:
answer: y= 1^2+ -8 I think I did this right.
Answer:
y=-1/2x-8
Step-by-step explanation:
Someone please help me I’m really struggling
I will give brainliest
Answers
Answer:
SA ≈ 1134 cm²
General Formulas and Concepts:
Math
Pi π = 3.14...Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Radius: r = d/2Surface Area of a Sphere: SA = 4πr²Step-by-step explanation:
Step 1: Define
d = 19 cm
Step 2: Find SA
Substitute [R]: r = 19 cm/2Divide: r = 9.5 cmSubstitute [SAS]: SA = 4π(9.5 cm)²Exponents: SA = 4π(90.25 cm²)Multiply: SA = 361π cm²Multiply: SA = 1134.11 cm²Round: SA ≈ 1134 cm²PLEASE COMMENT IF YOU ARE IN 7-12 GRADE AND WANTS TO BE MY ONLINE TUTOR !!!!
Answers
Answer:
Comment
Step-by-step explanation:
U~U
What is the solution of the system of equations? Y=x-4 and y=-3x
Answers
Answer:
(-7,-3)
Step-by-step explanation:
step one) solve one equation for x.
y=-3x
-3x/-3=y/-3
x=(-y/3)
step two) plug in x for the other original problem.
y=x-4
y=(-y/3)-4
step three) solve for y.
y=(-y/3)-4
y+4=(-y/3)-4+4
3*(y+4)=(-y/3)*3
3y+12=-y
(3y+12)-3y=-y-3y
12/-4=-4y/-4
y=-3
step four) plug in -3 for y and solve for x.
y=x-4
-3=x+4
-3-4=x+4-4
-7=x
I am in algebra two so you can trust my answer. if you need more help lmk in the comments. happy holidays and stay safe!
Plz help me out !!! I rlly need u guys to help
Answers
Answer1: for every 5 kids there are 9 parents
2 part a: the for every 4 cookies for every 9 sodas that are sold
2 part b:the ratio of cookies to soda is 9:4
3.the ratio of pencils to erasers is 15:7
3: for every 15 pencils there are 7 erasers.
4.The first blank is 2eyes there Are4 legs
Step-by-step explanation:
Answer:
hope this helps :)
Step-by-step explanation:
5 to 9
the number of cookies sold to sodas sold id 9:4
the ratio of erasers to pencils is 15:7
Solve this equation: x/ 4 = 2.25
Answers
Answer:
x = 9
Step-by-step explanation:
x/4 = 2.25
9/4 = 2.25
STEP BY STEP IS IN PICTURE:
An airplane flies 444 miles per hour. How far will the train travel in 3 hours?
I’m stuck help me someone
Answers
Answer:
8.8
Step-by-step explanation:
Answer:1,332
Step-by-step explanation:
PLEASE HELP ME I NEED HELP

Answers
Step-by-step explanation:
the question is not clear
brainliest for the most helpful answer helpppp pleaseeee
Answers
Just did it mathematically!! Hope this helped!!
Answer:
17m
Step-by-step explanation:
a^2+b^2=c^2
there's a character limit so hiii
Please help and thank you
Answers
inverse: f^-1(x)= (x+4)^2
domain: x is greater than or equal to 0
Please help. 50 points + brainliest
1. Combine the following expressions.
a√x + b √y - c√x
2. Combine the following expressions.
4m + 5√n - m + 6m - 3√n
3. Combine the following expressions.
√16a - √49a + √81a
4. Combine the following expressions
a√125y - b √45y
(NOTICE: If you do not know the answer, please do not answer. Trolls seeking points will be reported).
Answers
Answer:
1. (a-c)[tex]\sqrt{x}[/tex] + b[tex]\sqrt{y}[/tex]
2. 9m + 2[tex]\sqrt{n}[/tex]
3. 6a
4. (5a - 3b)[tex]\sqrt{5y}[/tex]
Step-by-step explanation:
1. since a and c share the same squareroot x, you can combine these together.
2. First add like terms together. 4m - m + 6m = 9m. Then 5[tex]\sqrt{n}[/tex] and -3[tex]\sqrt{n}[/tex] combined equals 2[tex]\sqrt{n}[/tex]
3. First simplify the square roots. squareroot of 16 is 4. square root of 49 is 7. square root of 81 is 9. They are all multiplied by a in the expression. Thus 4a - 7a + 9a = 6a
4. First simplify the radicals, they are not perfect. square root of 125 is equivalent to sqrt(25 * 5), which sqrt of 25 is 5, but we keep the sqrt of 5. For sqrt of 45, it is the same as sqrt9 * sqrt5. sqrt of 9 is the same as 3 and we keep sqrt 5. Thus we get the below:
5a[tex]\sqrt{5y}[/tex] - 3b[tex]\sqrt{5y}[/tex]
We can combine the two like terms and get the final answer above.
please give thanks by clicking the heart :)
Answer:
1. (a-c)√x + b√y
2. 9m + 2√n
3. 6a
4. (5a - 3b)√5y
Step-by-step explanation:
we only got 35 cus people only get half the points you give
10 = 5
20 = 10
30 = 15
40 = 20
*50 = 25*
QUESTION SHOWN ON PHOTO.
Answers
All of the points on the graph could represent rational numbers. (-1, 0, 1, 4.5)
Answer:
B
Step-by-step explanation:
A: false, point C isn't a rational number
B: True, Every negative integer is a negative rational number, like point A
C: false, point D is a fraction, therefore, point D is a rational number
D: false, like said in A, point C isn't a rational number
