If you use the addition property of equality , what number would you add to both sides of the equal sign to isolate the variable
Answers
Answer:
The answer is "[tex]\frac{26}{7}[/tex]"
Step-by-step explanation:
The whole question can be found in the file attached.
[tex]\to x + \frac{5}{7} = \frac{31}{7}\\\\[/tex]
Subtracting the [tex]\frac{5}{7}[/tex] from both sides of the equations:
[tex]\to x +\frac{5}{7} - \frac{5}{7} = \frac{31}{7} - \frac{5}{7} \\\\[/tex]
[tex]= \frac{31-5}{7} \\\\= \frac{26}{7} \\\\[/tex]
Related Questions
Pls help pls help pls help pls help
Answers
Answer:
Step-by-step explanation:
first option duhh
use the figure on the Pythagorean theorem to write an equation relating H, D and x
Answers
Answer:
h² + x² = d²
Step-by-step explanation:
h and x are legs. d is the hypotenuse.
h² + x² = d²
7. La somme de deux multiples de 3 consécutifs est de 129. Quels sont ces deux nombres?
Answers
Answer:
Les deux nombres doivent avoir une différence de 3. Algébriquement, ce serait x + (x + 3) = 129. 2x est alors égal à 126. X est égal à 63 et x + 3 est à 66. Ces nombres sont des multiples consécutifs de 3 dont la somme est de 129.
Step-by-step explanation:
The two numbers must have a difference of 3. Algebraically, it would be x + (x + 3) = 129. 2x then is equal to 126. X equals 63 and x + 3 is 66. These numbers are consecutive multiples of 3 whose sum is 129.
how to do it?
let me figure it out
Answers
Answer:
Step-by-step explanation:
Use pythagorean theorem to get BC = 12cm and DC = 9cm after getting BC.
Sin(ø) = opp/hyp = 9 cm/15 cm = 3/5
-80% + 50/54 (fraction) - 0.25
Answers
Answer:
-67/540
Step-by-step explanation:
I just converted - 80% to a decimal which is - 0.8 and then used a calculator for the rest.
What type of line is PQ?
A. side bisector
B. altitude
C. median
D. angle bisector
Answers
Answer:
D
Step-by-step explanation:
Since ∠ RPQ = ∠ SPQ = 60° , then
PQ bisects ∠ RPS and is an angle bisector
PQ exists the angle bisector of angle RPS. It means PQ divides the angle RPS in two equivalent parts.
What is angle bisector?
Angle bisector in geometry directs to a line that divides an angle into two equivalent angles. A bisector represents the thing that bisects a shape or an object into two equivalent regions. If we draw a ray that bisects an angle into two equivalent parts of the exact measurement, then it exists named an angle bisector.
It is given that ray PQ is the angle bisector of angle RPS. It means PQ divides the angle RPS in two equivalent parts.
[tex]$m \angle R P Q=m \angle QP S=60^{\circ}$[/tex]
Now, [tex]&m \angle R P S=m \angle R P Q+m \angle Q P S \\[/tex]
[tex]&m \angle R P S=60^{\circ}+60^{\circ} \\[/tex]
[tex]&m \angle R P S=120^{\circ}[/tex]
Therefore, the measure of angle RPS is [tex]$60^{\circ}$[/tex].
Therefore, the correct answer is option D. angle bisector.
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A sphere has a radius of 8cm.Find its volume
Answers
Answer:
[tex]\displaystyle V = \frac{2048 \pi}{3} \ cm^3[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Volume of a Sphere Formula: [tex]\displaystyle V = \frac{4 \pi}{3}r^3[/tex]
r is radiusStep-by-step explanation:
Step 1: Define
Identify variables
r = 8 cm
Step 2: Find Volume
Substitute in variables [Volume of a Sphere Formula]: [tex]\displaystyle V = \frac{4 \pi}{3}(8 \ cm)^3[/tex]Evaluate exponents: [tex]\displaystyle V = \frac{4 \pi}{3}(512 \ cm^3)[/tex]Multiply: [tex]\displaystyle V = \frac{2048 \pi}{3} \ cm^3[/tex]Answer:
sphere
Step-by-step explanation:
volume of a sphere = 4/3πr³
= 4/3*22/7 * 8³
= 2145.5
Suppose the group of 15 people consists of 7 men and 8 women. How many 6 person teams contain at most 3 men?
Answers
Answer:
3850 of those 6 person teams contain at most 3 men.
Step-by-step explanation:
The order in which the people are selected is not important, which means that the combinations formula is used to solve this question.
It drove 30.08 kilometers in an hour.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
0 men:
6 women from a set of 8. So
[tex]C_{8,6} = \frac{8!}{2!6!} = 28[/tex]
1 men:
5 women from a set of 8
1 men from a set of 7. So
[tex]C_{8,5}C_{7,1} = \frac{8!}{3!5!} \times \frac{7!}{1!6!} = 392[/tex]
2 men:
4 women from a set of 8
2 men from a set of 7. So
[tex]C_{8,4}C_{7,2} = \frac{8!}{4!4!} \times \frac{7!}{2!5!} = 1470[/tex]
3 men:
3 women from a set of 8
3 men from a set of 7. So
[tex]C_{8,3}C_{7,3} = \frac{8!}{5!3!} \times \frac{7!}{3!4!} = 1960[/tex]
How many 6 person teams contain at most 3 men?
28 + 392 + 1470 + 1960 = 3850
3850 of those 6 person teams contain at most 3 men.
En un triángulo ABC, se traza la mediana BM, si AM = 5x - 4 y MC = 3x + 6. Calcula AC.
A) 5 B) 7 C) 14 D) 21 E) 42
Answers
Answer:
A) 5
Step-by-step explanation:
In a class of 40 students, 30 % likes Mathematics but not English, 45 % likes English but not Mathematics and 10 % students like other subjects
Answers
Step-by-step explanation:
what's the questions??
Work out 8^1/3 divide by 5^-2
Answers
Answer:
66.6666666667
Step-by-step explanation:
answer is 66.6666666667
The solution of the division of 5⁻² by 8^(1/3) will be 50.
What is an expression?The mathematical expression is the combination of numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also be used to denote the logical syntax's operation order and other properties.
Given numbers will be solved as:-
Division = ( 8 ^ (1/3) / 5⁻²
Division = 2 x5²
Division = 50
Therefore, the solution of the division of 5⁻² by 8^(1/3) will be 50.
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find the least square number which is exactly divisible by 8,12,15&20
Answers
Answer:
first we need to find the LCM of the given numbers i.e. 8, 12, 15 and 20
2*2*2*5*3=120
Then
as 2, 3, 5 are not in pairs, we need to multiply the LCM with 2*5*3=30
so,
least perfect square number which is divisible by each of numbers 8 12 15 and 20
=120*30=3600
Step-by-step explanation:
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Given that $x < 5$, rewrite $5x - |x - 5|$ without using absolute value signs. WILL GIVE BRAINLIEST
Answers
Answer:
6x-5 if x<5
Step-by-step explanation:
If x<5, then x-5<0.
If x-5 is negative, then |x-5)=-(x-5) or -x+5.
5x - |x - 5|
5x-(-x+5) provided x<5
5x+x-5 by distributive property
6x-5 combined liked terms
Find x.
a. 30.9
b. 34.4
c. 17.1
d. 15.4
Answers
Answer:
x = 17.1
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj / hyp
cos 42 = x/23
23 cos 42 = x
17.09233 =x
Rounding to 1 decimal place
x =17.1
Need help !!!!!!!!!!!!!
Answers
Answer:
tan0= UR/RX
tan6°=8/RX
⇒RX=8/tan6
⇒ RX=8/0.1051
⇒RX≈76.11
---------------------
Hope it helps...
tan0= UR/RX
tan6°=8/RX
RX=8/tan6RX=8/0.1051RX≈76.11Hope it is helpful to you ☺️
FOR BRAINLIEST ANSWER THIS ASAP
Write an equation for the line. Write it in the form: Ax + By = C 14 ) Through——————— (4, - 2) and (5, 1)
Answers
Answer:
-3x + y = -14
Step-by-step explanation:
m = 3/1 = 3
1 = 15 + b
b = -14
Y = 3x - 14
-3x + y = -14
Determine whether ABC are functions:
A. (2,5) (3,7) (-1,4) (0, 6)
B.(-3, 1) (4, 2) (5,-2) (-3,-1)
C. (3,4) (-4, 6) (-1,0) (0,1)
A.
B.
C.
Answers
Answer:
A. Function
B. Not a function
C. function
Please help!!!
What is the measure of
Answers
m∠DAB = 91 degrees
Step-by-step explanation:
Total degree of a parallelogram = 360
m∠CDA = m∠ABC
Let x represent m∠DAB & m∠DCB
m∠CDA + m∠ABC + m∠DAB + m∠DCB = 360 degrees
89 + 89 + x + x = 360 degrees
Add 89 + 89
178 + x + x = 360
Subtract 360 - 178
x + x = 182
Divide 182 by 2
x = 91 degrees
so the m∠DAB = 91 degrees
Evaluate the following expression using the values given: (1 point)
Find 3x − y − 3z if x = −2, y = 1, and z = −2.
Answers
what's is 11 divided by 620
Answers
Answer:
0.017741
Step-by-step explanation:
The cost to rent a bike at the beach is $6.75 an hour plus an insurance fee of $15. Marcia spent $48.75 when renting a bike on a recent trip to the beach. For how many hours did Marcia rent the bike?
Answers
Answer:
5 hours
Step-by-step explanation:
plzzz need help steps if possible just plzz dont ignore plzzzz
Answers
Answer:
I think it is either B or C
Sorry if it is wrong
Step-by-step explanation:
Answer:
[tex]\text{(D) }\frac{\sin 110^{\circ}}{x}=\frac{\sin 40^{\circ}}{20}[/tex]
Step-by-step explanation:
We can use the Law of Sines to solve this problem. The Law of Sines works for any triangle and states that the ratio of any angle and its opposite side is maintained throughout all angles of the triangle:
[tex]\frac{\sin A}{a}=\frac{\sin B}{b}=\frac{\sin C}{c}[/tex]
In the figure, the angle marked 110 degrees has an opposite side labelled [tex]x[/tex]. However, the angle opposite to the side marked 20 is still unknown, so let's find it.
The sum of the interior angles of a triangle is always 180 degrees. Therefore, let the third angle be [tex]\theta[/tex]. We have:
[tex]\theta + 110^{\circ}+30^{\circ}=180^{\circ},\\\theta+140^{\circ}=180^{\circ},\\\theta=40^{\circ}[/tex]
Now we have the relevant angle and we can set up the proportion:
[tex]\boxed{\frac{\sin 110^{\circ}}{x}=\frac{\sin 40^{\circ}}{20}}[/tex]
Connor wants to represent 25 divided by the difference of 12 and seven he writes the expression of ( 25÷12) -7 is Connor expression correct explain
Answers
Step-by-step explanation:
Step 1: Check to see if Connor is right
25 divided by the difference of 12 and seven
25 / (12 - 7)
Since we have a 12 and seven, that means that we have them together. However, how Connor is presenting it, it would be 25 divided by 12 subtracted 7. Therefore, Connor is incorrect.
Answer:
No he's not correct.
Step-by-step explanation: Let's take a step back and look at the question, he wants to represent the difference of 12 and 7 ÷ by 25. Therefore in order to do that we need to figure out the difference 12 and 7 so the equation would look like this 12-7=5 after doing that we divide 5 by 25 so it would look like this 25÷5=5.
So the correct equation is (12-5) ÷25
Hope this helps!
Bryan has a square parcel of land that is 120 yards long and 120 yards wide. The land is planted with Bermuda grass and surrounded by a fence. So
that his cattle will not ruin the grass, Bryan decides to split the field into two halves and rotate his cattle on the land every 30 days. He plans to build a
fence diagonally across the field. How many feet of fencing will Bryan need to split the parcel of land in half? Round your answer to the nearest yard.
Answers
Following the equation a^2+b^2=c^2, we are going to solve C this is because a & b at equivalent to 120( side lengths)
A^2 +B^2=C^2
square root= (A^2 +B^2)=C
square root=(120^2+120^2)=C
square root (120^2 + 120^2) = C
square root (14400 + 14400) =C
square root(28800)=169.7 rounded up to 170 yards of fencing needed!
in an exam,154 out of 175 passed.what percentage failed.
Answers
12%
Step-by-step explanation:
21/175 = ?/100%
21/175 = 12%/100%
The percentage of failed students is 12%
We have,
Total number of students = 175
Number of students passed = 154
We need to calculate the percentage of the number of failed students.
How do we calculate the percentage?The formula used to calculate the percentage is:
[tex]\frac{ required~value}{total~value} \times 100[/tex]
Here,
Total value:
= Total number of students
= 175
Required value:
= Number of students failed
= Total number of students - Number of students passed
= 175 - 154
= 21
Percentage of failed students:
= [tex]\frac{21}{175} \times 100\\[/tex]
= ( 21 x 100 ) / 175
= 2100 / 175
= 12 %
The percentage of failed students is 12%.
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A restaurant freezes a cherry and lime juice mixture to create slushes. Cherry juice costs $5 per quart, and lime juice costs $3 per quart. Each day, the restaurant spends a total of $36 on 8 quarts of juice. The restaurant manager organizes the information in the table below.
Which equation can be used to determine the amount of cherry juice in each mixture?
5q + 3(8 – q) = 36
5q + 3(8 – q) = 8
q + (8 – q) = 8
q + 5 = 5q
Answers
Answer:
I think 5q+3(8-q) =36 is the answer for this question
Based on the amount the restaurant manager spends on the juice mixture, the amount of cherry juice can be found as 5q + 3(8 – q) = 8.
What is the amount of cherry juice used?Assuming the cherry juice is q and the lime juice is r, the following formulas would be true:
q + r = 8
5q + 3r = 36
The first equation can be rewritten as:
q + r = 8
r = 8 - q
Using substitution into the second formula we get:
5q + 3r = 36
5q + 3(8 - q) = 36
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if a line crosses the negative y-axis and the negative x-axis, then its slope is
Answers
Answer:
that description would produce a negative slope..
see image
Step-by-step explanation:
Does the graph have even symmetry, odd symmetry, or neither ?
Answers
Answer:
Odd symetry I think
Step-by-step explanation:
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This is it
Will Mark brainlest help please please pease
Answers
Answer:
6
Step-by-step explanation:
very easy.
this simply means what is the value of x, so that the result of the function is 7.
remember, the domain is the interval of valid values for x.
and the range is the interval of valid values of y (or functional results).
so,
7 = (3x - 4)/2
14 = 3x - 4
18 = 3x
x = 6
so, for x = 6 the function delivers 7 as result.
Cassie paid 55% of the bill. The remaining $18 was covered by her friend. What was the total bill
