Answer:
x = 4
Step-by-step explanation:
We have the algebraic expression 3x + 16 = 7x and are asked to solve.
When we need to solve for x, we need to get x alone always.
So 3x + 16 = 7x.
Subtract 3x from both sides :
16 = 4x
Divide 4 from both sides :
x = 4
Answer:
[tex] \large \boxed{x = 4}[/tex]
Step-by-step explanation:
Goal
Solve for x-term.Given
Equation[tex]3x + 16 = 7x[/tex]
Step 1
Combine like terms. We move 3x to subtract 7x since we can't add with a constant with a variable.[tex]16 = 7x - 3x \\ 16 = 4x[/tex]
Step 2
Move 4 to divide 16 because we need to make x-term as the subject of equation.[tex] \frac{16}{4} = x \\ 4 = x[/tex]
Step 3
If you are not sure that the answer is correct, we can check the answer by substituting x = 4 in the equation.[tex]3x + 16 = 7x \longrightarrow 3(4) + 16 = 7(4) \\ 12 + 16 = 28 \\ 28 = 28[/tex]
The equation is true for x = 4. Hence, the solution is x = 4
find the length of side x in simplest radical form with a rational d enominator. 60 X 30
Answer:
x = [tex]\frac{ 7\sqrt{3} }{3}[/tex]
Step-by-step explanation:
7 = [tex]x\sqrt{3}[/tex]
x = [tex]\frac{7}{\sqrt{3}}[/tex]
multiply numerator and denominator by [tex]\sqrt{3}[/tex]
x = [tex]\frac{ 7\sqrt{3} }{3}[/tex]
find the probability of getting a prime number on the dice and head on the coin when a dice is rolled and a coin is tossed simultaneously.
Answer:
1/4
Step-by-step explanation:
For a die,
the number of possible results is 6
The prime numbers are 2,3,5
the probability of getting a prime number is thus; 3/6 = 1/2
Tossing a coin, the probability of getting a head is also 1/2
So the probability of getting both on a single toss will be;
1/2 * 1/2 = 1/4
According to the question,
The number of possible results,
6Prime numbers,
2, 3 and 5Now,
The probability of getting a prime number will be:
= [tex]\frac{3}{6}[/tex]
= [tex]\frac{1}{2}[/tex]
then, by tossing the coin head's probability is "[tex]\frac{1}{2}[/tex]".
hence,
Getting both on single toss will be:
= [tex]\frac{1}{2}\times \frac{1}{2}[/tex]
= [tex]\frac{1}{4}[/tex]
Thus the above answer is right.
Learn more about probability here:
https://brainly.com/question/23276848
A bar graph titled Games per month has month on the x-axis and number of games on the y-axis. January has 7 games; February, 5 games; March, 3 games; April, 8 games; May, 6 games.
The bar graph shows the number of games a soccer team played each month. Use the data to find each listed value.
Median =
Lower quartile =
Upper quartile =
Interquartile range =
Median = 6, Lower quartile = 5; Upper quartile = 7; Interquartile range =2
What are Lower quartile and Upper quartile?The numbers that divide a piece of data into four equal portions are known as quartiles. A data set is divided in half by its median. The lower quartile (LQ) is the median value for the lowest half of a set of data. The upper quartile (UQ) is the median value for the higher half of a set of data.
Given data is:
7, 5, 3, 8, 6.
in ascending order the data is:
3, 5, 6, 7,8.
Hence, the median is = middle number from the data = 6.
The Lower quartile is =middle number from the lower part of the data = 5
The Upper quartile is = middle number from the data =7.
hence, the Interquartile range is = upper quartile - lower quartile
= 7 - 5
= 2.
Learn more about Lower quartile here:
https://brainly.com/question/7134426
#SPJ2
Answer:
The bar graph shows the number of games a soccer team played each month. Use the data to find each measure.
Median =
✔ 6
Range =
✔ 5
Interquartile range =
✔ 3.5
Which is true of this data?
✔ The values are clustered around the median.
Step-by-step explanation:
9 m =
dm
10 dmx
dm
11
1 mx
9 m
WORTH 35 POINTS PLS HELP ME!
Answer: Answer on the bottom below
Step-by-step explanation: And p.s this is worth 18 points because it needed to divide the points in two.- Have a brilliant day mate ^_^
12. Match the function with the correct parabola.
с
9(x) = -x + 3
h(x) = 4x2
b
j(x) = -²
d
Mee
Step-by-step explanation:
a x^2/4
b -x^2/4+3
c 4x^2
d -x^2
Plz i need help on a math problem it is 1/4 divided by 2 then go back to 1/4 and divide it again but by 3 then go back to it again and divide it by 4 then go back to 1/4 and divide it by 5 plz someone help me!!!!
Answer:
(1) 1/8
(2) 1/12
(3) 1/16
(4) 1/20
Step-by-step explanation:
We need to find multiple divisions, it says 1/4 divided by 2 then go back to 1/4 and divide it again but by 3 then go back to it again and divide it by 4 then go back to 1/4 and divide it by 5.
We will take one by one
(1) 1/4 divides by 2 will be = 1/8
(2) 1/4 divided by 3 = 1/12
(3) 1/4 divided by 4 = 1/16
(4) 1/4 divided by 5 =1/20
These results are obtained by dividing the given parts, as the given Numerator is in fraction so whatever will be divided from the fractional numerator will get multiplied with the denominator.
Describe how a root can be written using a rational exponent. Give an example.
Answer:
sqrt(x)=x^1/2
Step-by-step explanation:
The root of a number is the same as writing that number to 1 over the root. In a square root, it is what number multiplied by itself (x*x), as you can see there are two, so it is that number to the 1/2 power. another example is something to the seventh power. that is calculating what number multiplied by itself 7 times would equal the nmber you are taking the root of. (x*x*x*x*x*x*x) so this would be a number to the 1/7 power.
Pleaseee helpppp answer correctly !!!!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!
Answer:
540°
General Formulas and Concepts:
Math
CountingPre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Sum of Angles: 180(n - 2)°Step-by-step explanation:
Step 1: Define
We are given a 5-sided polygon (irregular pentagon)
n = 5
Step 2: Find Sum
Substitute in n [Sum of Angles]: 180(5 - 2)°(Parenthesis) Subtract: 180(3)°Multiply: 540°Answer: 540
Step-by-step explanation:
[tex]{(n - 2) * 180}[/tex]
This is the formula for the sum of interior angles with side lengths n. Counting the sides we have 5 sides.
(5 - 2) * 180 = 540
Mrs. Pascal has a candy jar that contains 5 Jolly Ranchers and 13 jawbreakers. Solve each of the following problems and explain your thinking. Suppose that you have a candy jar with the same ratio of Jolly Ranchers to jawbreakers as in the previous problem, but it contains 720 candies. How many of each kind of candy would you have?
Answer:
Step-by-step explanation:
The ratio is 5:13 and the total number of candy is 18. If the total amount of candy increased by 40x then both candy values would increase by 40x. There are 200 Jolly ranchers and 520 jawbreakers.
Are the two expressions in the equation 2b + 5 + 1b = 3b + 5 equal or equivalent? How do you know
Given:
The expression is
[tex]2b+5+1b=3b+5[/tex]
To find:
Whether the two expression in the equation are equal or equivalent.
Solution:
If two expression are exactly the same, then they are equal and if the two expressions are different but the after simplification both are same, then they are called equivalent expressions.
We have,
[tex]2b+5+1b=3b+5[/tex]
Taking LHS, we get
[tex]LHS=2b+5+1b[/tex]
On combining liker terms, we get
[tex]LHS=(2b+1b)+5[/tex]
[tex]LHS=3b+5[/tex]
[tex]LHS=RHS[/tex]
In the given equation both expression are different but after simplification LHS = RHS, therefore the expression are equivalent not equal.
Use the Law of Sines to write an expression that represents angle measure x.
Answer:
x° = arcsin(15.5/26.9×sin(73°))
Step-by-step explanation:
The law of sines tells you the sine of an angle is proportional to the length of the opposite side:
sin(x°)/15.5 = sin(73°)/26.9
sin(x°) = (15.5/26.9)sin(73°) . . . . . multiply by 15.5
Using the inverse function, we can find x.
x° = arcsin((15.5/26.9)sin(73°))
i need help with this geometry assignment please.
Answer:
172.8 is the area of the parallelogram
A package designer wants the hexagonal base of a hat box to have an area of
about 200 in.2. About how long is each side?
Answer:
About 9inches long
Step-by-step explanation:
Area of a hexagon = 3√3/2 a²
a is the length of each side
Given
Area of the hexagon = 200in²
Substitute
200 = 3√3/2 a²
200×2 = 3√3 a²
400 = 3√3a²
a² = 400/3√3
a² = 400/5.196
a² = 76.982
a = √76.982
a = 8.774
Hence the length of each side is about 9inches long (to nearest inches)
Solve the inequality.
12
%-
>8-2%
O A. x>3
O B. x>
O C. >> 23
O D. x>-
What fraction of the shape is shaded?
Answer: 2/4 simplified: 1/2
Step-by-step explanation:
Answer:
2/4
I hope this helps :D
Quadrilateral EFGH with diagonals EG and HF must be a parallelogram if (1) EF FG and GH HE (2) EG FH (3) EG FH (4) EF HG and EF HG
Answer:
EF = HG and EF || HG
Step-by-step explanation:
A quadrilateral is a polygon shape with four sides and four angles.
A parallelogram is a quadrilateral with two pairs of parallel sides. The following are properties of a parallelogram:
Opposite sides are equal and parallel.Opposite angles are equal to each other.Consecutive angles are supplementaryThe diagonals of a parallelogram bisect each other.If Quadrilateral EFGH with diagonals EG and HF is a parallelogram then EF = HG and EF || HG
HELP PLEASE (special right Triangles)
Step-by-step explanation:
I might not get you all correct
What is the number of degrees the minute hand of a clock moves between 10:21 and 10:34 pm on the same day?
.
Step-by-step explanation:
The correct answer is 78
6. Belle wants to find out the average of her test scores in Algebra. What is her average test score if she did 95, 88, 93, 80, 78, 82?
Answer:
86
Step-by-step explanation:
add up all the scores then divide by the amount of test taken. total test score is 516, total test is 6 so 516÷6=86
10-x≤35 someone help me how tot explain this to someone
Answer:
e
Step-by-step explanation:
Make w the subject of the formula z = w + 3
Answer:
w = -z(-w) + 3(-w)
Step-by-step explanation:
z = w + 3 | Given
-w + z = 3 | Subtract w from both sides.
-w = -z + 3 | Subtract z from both sides
w = -z(-w) + 3(-w) | Multiply -w on both sides.
PLEASE HELP. i have one hour to get this done and i have no clue what to do on this bonus question i need to pass!! look in the photo for the question and image!!
Answer: the perimeter is 214. AB's half is 32.5 and BC's whole is 65
Step-by-step explanation: 10x-5 and 12x-26 are equal, as shown by the marks on their lines, so we can set them equal to each other to solve for x. when solved x=7. then plug 7 into each equation to get 65. lastly add up 84+65+65 to get 214.
5.
2 ...
13. 1.4
Imagine that
you
and a friend
go to a local ramen shop for dinner. At this
Restaurant, each regular bowl of ramen is $725. Drinks are $1.50 each.
ramen
and
your
friend eat if you
ordered 2
How many regular bowls of did
you
drinks each and
your
total was $49.50?
a. Write an equation to represent the situation using X to represent the #
of bowls
you
and
your
b. I
friend ate.
Answer:
6 bowls of ramen eaten by you & your friend
Step-by-step explanation:
The question appears pretty choppy for me. I'll answer what I think you're asking and update in the comments if needed.
Imagine that you and a friend go to a local ramen shop for dinner at this restaurant, each regular bowl of ramen is $7.25. Drinks are $1.50 each. How many regular bowls of ramen did you and your friend eat if you ordered 2 drinks each and your total was $49.50?
a. Write an equation to represent the situation using x to represent the # of bowls you and your friend ate.
4($1.50) + $7.25x = $49.50
6 + 7.25x = 49.50
subtract 6 from both sides
7.25x = 43.50
divide both sides by 7.25
x = 6
Checking the math:
4(1.5) + 6(7.25) = 6 + 43.50 = 49.50
4 drinks, 6 bowls of ramen for $49.50
HRW CAN U TRY AND HELP OLZZZZZ !!!!
Answer : I thinks it’s 3
helppppppppppppppppppppppppp
Answer:
768
Step-by-step explanation:
Its a geometric sequence
multiply by 4 each time:
3*4=12*4=48*4=192*4=768*4=3072
Answer:
the answer is 768.
Step-by-step explanation:
3 x 4 = 12
12 x 4 =48
48 x 4 = 768
768 x 4 = 3,072
Consider the equation:
0 = x^2 - 10x + 10
1) Rewrite the equation by completing the square.
Your equation should look like (x + a)2 = b or (x - c)2 = d.
Answer:
1) We can rewrite the equation as 15=(x-5)^2
2) The solutions to the equation are x=5±15
Sam measured his foot to be 11 inches long, but it was actually 11.5 inches
What is the percent error?
PLZZ HALPMMELOL PLZZ it’s due 20 min
Answer: They ate 5/8 of the salad
Step-by-step explanation: If you have 3/8 and add 2/8 you don't have to change the denominator, so you just add the numerators together.
Step-by-step explanation:
they ate 5/8 salad
3/8+ 2/8 = 5/8
hope this will be helpful to you.
plz mark my answer as brainlist if you find it useful.
The height (in feet) y of a bouncing ball and the time (in seconds) x since It was dropped, as shown in the graph below
Answer:
90 feet is the total distance,the total time will be the x value of the function's zero
Step-by-step explanation:
Guys........my brain hurts lol, can yall help me please
Step-by-step explanation:
9>-2y/7+19
-2y/7> -10
-2y> -70
-y> -35
y < 35