Given: 3jk 2 + =15 4k− Prove: j = 10 – 3k
Answer:
j=10-3k
Step-by-step explanation:
here you go...i hope it's correct
If the equation is (3j+k)/2=15-4k then j=10-3k
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The given equation is (3j+k)/2=15-4k
We need to prove j=10-3k
(3j+k)/2=15-4k
Apply cross multiplication and solve for k
3j+k=2(15-4k)
3j+k=30-8k
Subtract k from both sides
3j=30-9k
Divide both sides by 3
j=10-3k
Hence, if the equation is (3j+k)/2=15-4k then j=10-3k
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1 = m 3 = 20°, then m =
Answer:
1
Step-by-step explanation:
Answer: 140m
Step-by-step explanation:
Please help!
Geometry.
Proving alternate exterior angles
congruent
answers
A:
-Angle 2 is congruent to angle 3
-Angle 2 is congruent to angle 6
-Angle 3 is congruent to angle 7
-Angle 3 is congruent to angle 6
B:
-Angle 3 is congruent to angle 6 -angle 3 is congruent to angle 7 -angle 6 is congruent to angle 7 -angle 4 congruent to angle 5
Answer:
The answer to A is: "Angle 2 is congruent to angle 3"
The answer to B is: "Angle 3 is congruent to angle 7"
what is the ratio to 8 adults and 24 students?
Answer:
8:24
8/24
3#
Step-by-step explanation:
mark as a brainlist
Answer:
8 : 24 = 1 : 3
Step-by-step explanation:
The ratio is not in lowest terms so we found an equivalent ratio by simplifying
We can simplify the ratio 8 : 24 by dividing both terms by the greatest common factor (GCF).
The GCF of 8 and 24 is 8.
Divide both terms by 8.
8 ÷ 8 = 1
24 ÷ 8 = 3
Therefore:
8 : 24 = 1 : 3
Find the measure angle measure.
Answer:
42.3
Step-by-step explanation:
add both angles then subtract by 180 and the negative number is your answer
please help i be struggling on this..
Step-by-step explanation:
8
a. total cost ($)
→ 25 = 25×2.5 = $62.5
→ 50 = 50 × 2.5 = $125
→ 75 = 75 × 2.5 = $187.5
b. 2.5n
c. $400/2.5 = 160
therefore, she can make 160 crafts by $400.
9. 7x + 12 = 18
→ 7x = 18 - 12 = 6
→ x = 6/7
therefore value of x is 6/7.
hope this answer helps you dear...take care
Subtract. 3- (-5) - (-2) Plot the solution on the number line.
Answer:
10. put a dot on the number 10
Step-by-step explanation:
3-(-5)-(-2)
when subtracting negatives, you actually end up adding
so
3+5+2=10
3 - (5) - (-2) = 10.
The solution will be positive 10 on the line.
(7a*2b)+3c=3c+(7a*2b)
A.Commutative Property of Addition
B.Commutative Property of Multiplication
C.Associative Property of Addition
D.Associative Property of Multiplication
(7a*2b)+3c=3c+(7a*2b) the property for the given expression is Option A) Commutative Property of Addition.
The given expression is (7a*2b) + 3c = 3c + (7a*2b). This equation demonstrates the Commutative Property of Addition.
The Commutative Property of Addition states that the order in which numbers are added does not affect the result.
In mathematical terms, it can be written as: a + b = b + a.
In your expression, you have terms involving both addition and multiplication. However, since addition is involved on both sides of the equation, we can focus on the addition aspect.
(7a*2b) + 3c = 3c + (7a*2b)
First, we can rearrange the terms on the left side:
7a*2b + 3c = 3c + 7a*2b
Now, observe that the terms on both sides of the equation are the same: 7a*2b and 3c.
They are just arranged in a different order. This aligns with the Commutative Property of Addition, which says the order of addition doesn't matter.
Therefore, the expression is an illustration of this property, and the correct answer is the Commutative Property of Addition (A).
In summary, the expression shows that changing the order of terms within an addition does not change the result, thus demonstrating the Commutative Property of Addition.
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20 points!!
Evaluate.
−26.6/−1= __________
Answer:
26.6
Step-by-step explanation:
simplify -26.6 divided by -1 to 26.6
Answer:
26.6
Step-by-step explanation:
- 26.6 / - 1
- 26.6 = - 1 x 26.6
- 1 = - 1 x 1
- 26.6 / - 1
= ( - 1 x 26.6 ) / ( - 1 x 1 )
= ( - 1 / - 1 ) x ( 26.6 / 1 )
= 1 x 26.6
= 26.6
Which equation has only one unique solution?
A.
|3 − x| = 3
B.
|x − 2| − 7 = 7
C.
-4|x| + 1 = -3
D.
9 − |2x − 1| = 9
The equation with only one unique solution is 9 − |2x − 1| = 9, with the solution x = 1/2. D.
To determine which equation has only one unique solution, let's analyze each equation:
|3 − x| = 3
In this equation, the absolute value term represents a distance.
By setting up two cases, where the absolute value is positive and negative, we can find the solutions.
Case 1:
3 - x = 3
Solving for x, we have x = 0.
Case 2:
x - 3 = 3
Solving for x, we have x = 6.
Thus, this equation has two solutions.
|x − 2| − 7 = 7
Similar to equation A, the absolute value term represents a distance.
By adding 7 to both sides, we have |x - 2| = 14.
This equation implies that the distance between x and 2 is 14.
There are two possible values for x: x = 2 + 14 = 16 and x = 2 - 14 = -12.
This equation has two solutions.
-4|x| + 1 = -3
To solve this equation, we isolate the absolute value term:
-4|x| = -4
Dividing both sides by -4:
|x| = 1
The absolute value of any number is always positive or zero.
The equation |x| = 1 has two solutions: x = 1 and x = -1.
9 − |2x − 1| = 9
The absolute value term represents a distance.
Subtracting 9 from both sides, we have |2x - 1| = 0.
The only way the absolute value of a real number can be equal to zero is if the number inside the absolute value is zero.
Thus, we set 2x - 1 = 0 and solve for x:
2x - 1 = 0
2x = 1
x = 1/2
Equation D has only one unique solution: x = 1/2.
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Water drains from a 60 gallon bath tub at a constant rate. It empties in 5
minutes. What is the rate?
10 gal/ minute
-10 gal/ minute
-12 gal/ minute
-15 gal/ minute
Answer:
-12 gal / min
Step-by-step explanation:
[tex] \frac{ - 60 \: gallon}{5 \: minutes} = - \frac{60}{5} = - 12[/tex]
Please answer these and find the slope intercept form for each one.
Best answer gets brainiest!
round off 4.675 to the nearest tenth
round off 4.675 to the nearest tenth
4.7hope it helps
What is the greatest amount of trips that Edwin can take up the mountain and still pay less than Rhea? Explain how you arrived at your answer.
n>12
45+5.25n>108
-45 -45
5.25n > 63
then divide both sides by 5.25
n>12
APQR and ARST are shown.
What is m QPR?
QPR is 68 degrees
triangle=180 degrees
180-44=136
136/2=68 (R=68 and S=68)
R has two angles so both are 68 degrees
QPR=68 degrees
In a ∆ABC , angle A + Angle B = 125° and Angle B + Angle C = 150° . Find all the angles of ∆ABC.
[tex]\large\underline{\sf{Solution-}}[/tex]
Given that,
In triangle ABC
[tex] \purple{\rm :\longmapsto\:\angle A + \angle B = 125 \degree \: - - - (1) }[/tex]
[tex] \purple{\rm :\longmapsto\:\angle B + \angle C = 150 \degree \: - - - (2)}[/tex]
We know,
Sum of all interior angles of a triangle is supplementary.
[tex] \purple{\rm :\longmapsto\:\angle A + \angle B + \angle C = 180\degree }[/tex]
On adding equation (1) and (2), we get
[tex] \purple{\rm :\longmapsto\:\angle A + \angle B + \angle B + \angle C = 125\degree + 150 \degree \:}[/tex]
[tex] \purple{\rm :\longmapsto\:\angle A + \angle B + \angle C + \angle B = 275\degree \:}[/tex]
[tex] \purple{\rm :\longmapsto\:180\degree + \angle B = 275\degree \:}[/tex]
[tex] \purple{\rm :\longmapsto\:\angle B = 275\degree - 180\degree \:}[/tex]
[tex] \purple{\rm :\longmapsto\:\angle B = 95\degree \:}[/tex]
On substituting the value in equation (1) and (2), we get
[tex] \purple{\rm :\longmapsto\:\angle A + 95\degree = 125\degree }[/tex]
[tex] \purple{\rm :\longmapsto\:\angle A = 125\degree - 95\degree }[/tex]
[tex] \purple{\rm :\longmapsto\:\angle A = 30\degree }[/tex]
Also, from equation (2), we get
[tex] \purple{\rm :\longmapsto\:95\degree + \angle C = 150\degree }[/tex]
[tex] \purple{\rm :\longmapsto\:\angle C = 150\degree - 95\degree }[/tex]
[tex] \purple{\rm :\longmapsto\:\angle C = 55\degree }[/tex]
Hence,
[tex]\begin{gathered}\begin{gathered}\bf\: \rm\implies \:\begin{cases} &\sf{\angle A = 30\degree } \\ \\ &\sf{\angle B = 95\degree } \\ \\ &\sf{\angle C = 55\degree } \end{cases}\end{gathered}\end{gathered}[/tex]
Answer:
angle A=30°
angle B=95°
angle C=55°
Solve the given equation.
- 29 = - 13 - n
Write step by step how you solved it.
Answer:
The answer is n=16
Step-by-step explanation:
Let's solve your equation step-by-step.
−29=−13−n
Step 1: Simplify both sides of the equation.
−29=−13−n
−29=−13+−n
−29=−n−13
Step 2: Flip the equation.
−n−13=−29
Step 3: Add 13 to both sides.
−n−13+13=−29+13
−n=−16
Step 4: Divide both sides by -1.
−n/−1 =−16/−1
n=16
Help stuck on question number 10
Answer:
y = 2/3x - 5 or in standard form 3y = 2x - 5
Step-by-step explanation:
Remember this fact: Parallel lines have the same slope
Step 1 Solve for y so that the equation is in the slope- intersect form
2x - 3y = 6
-3y = -2x + 6
-3y/-3 = -2x/-3 + 6/-3
y = 2/3 x -2
now we know the slope is 2/3 or
when the equation is in Standard form Ax + By = C you can use this fact: slope = - A/B so the slope = -2/-3 = 2/3
Remember the Parallel lines have the same slope
Find the y-intersect "b" use the slope = 2/3 and point (6, -1)
y = mx + b
-1 = 2/3(6) + b
-1 = 4 + b
-5 = b
Now write the equation of line that is parallel to the given line and passes through point (6, -1)
y = 2/3x - 5 or in standard form 3y = 2x - 5
what is a set? describe the use of braces for listing the members of a set.
Answer:A set is a collection of objects that have something in common or follow a rule. The objects in the set are called its elements. Curly braces are used to indicate that the objects written between them belong to a set
Answer: A set is a collection of objects that have something in common or follow a rule. The objects in the set are called its elements.
Curly braces are used to indicate that the objects written between them belong to a set.
What is set?A set is a collection of objects that have something in common or follow a rule. The objects in the set are called its elements.
here, we have,
N={1,2,3,4,.......}
Determine the sets of natural number
Represent this set with letter N
From definition of natural numbers, they are integer numbers starting from 1;
In other words: 1,2,3,4,5, and so on.
To represent this as a set of N, we have
N={1,2,3,4,.......}
The ..... means that the counting still continues.
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HELP ME PLEASE I NEED CORRECT ANSWER
Answer:
see explanation
Step-by-step explanation:
The vertex is the coordinates of the turning point of the parabola
The axis of symmetry is a vertical line passing through the vertex with equation
x = c ( where c is the x- coordinate of the vertex )
vertex = (0, 0 ) , axis of symmetry is x = 0 ( the y- axis )
(1)
vertex = (- 2, 4 ) , axis of symmetry is x = - 2
(2)
vertex = (7, 1 ) , axis of symmetry is x = 7
(4)
vertex = (- 3, - 2 ) , axis of symmetry is x = - 3
HELP PLEASE!!!! I REALLY NEED HELP
Answer:
CDW stocks a broad selection of office furniture, supplies, and accessories from computer stands to cleaning wipes, paper shredders and monitor stands.
Step-by-step explanation:
How many solutions does this system have?
y = 5x + 6
y – 5x = 7
A. no solutions
B. 1 solution
C. 2 solutions
D. infinitely many solutions
Answer:
No Solutions
Step-by-step explanation:
The two lines never intersect
Answer:
A
Step-by-step explanation:
y = 5x + 6 → (1)
y - 5x = 7 ( add 5x to both sides )
y = 5x + 7 → (2)
Substitute y = 5x + 7 into (1)
5x + 7 = 5x + 6 ( subtract 7 from both sides )
5x = 5x - 1 ( subtract 5x from both sides )
0 = - 1 ← is False
This indicates the system has no solution
find the equation of a line given two points (1, 2) and (4, 3).
Answer:
[tex]slope \: or \: gradient = y2 - y1 \div x2 - x1 \\ 3 - 2 \div 4 - 1 \\ 1 \div 3 \\ y = mx + c \\ 2 = 1 \div 3 \times 1 + c \\ 2 = 1 \div 3 + c \\ 2 - 1 \div 3 = c \\ c = 5 \div 3 \\ y = 1 \div 3x + 5 \div 3[/tex]
Find all numbers whose absolute value is 5.
If there is more than one, separate them with commas.
If there are no such numbers, click on "None".
Answer:
5 , |-5|
Step-by-step explanation:
2 of the above are the absolute value of 5
The two numbers whose absolute value is 5 are 5 and -5.
Numbers whose absolute value is 5 can be both positive and negative.
The absolute value of a number is its distance from zero on the number line, so any number that is 5 units away from zero in either the positive or negative direction will have an absolute value of 5.
Here are the numbers whose absolute value is 5:
5 (positive 5, because it's 5 units to the right of zero)
-5 (negative 5, because it's 5 units to the left of zero)
Hence, 5 and -5 are the two numbers whose absolute value is 5.
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Which describes how to find the solution to 3p < 14?
Answer:
p < 14/3
Step-by-step explanation:
Answer:
a.divide both sides with 3
Step-by-step explanation:
What is 1/8 of 3? When i look it up it says to many different answers.
Answer:
3÷8=0.375
Step-by-step explanation:
1/8 of a number can be found by dividing the number by 8.
Answer:
0.375
Step-by-step explanation:
If you divide 3 into 8 diffrent pieces you get 0.375 and to prove it 0.375 x 8 = 3.
Triangles PQR and STU are similar. The length of PQ = 36 cm, RP = 48 cm and QR = 24
cm. THe length of the longest side of triangle STU is 92 cm. What is the perimeter of
triangle STU?
Answer:
207 cm
Step-by-step explanation:
Because ΔPQR ≅ΔSTU and the longest side in the ΔPQR is RP then the longest side in ΔSTU must be SU = 92 cm
Perimeter of triangle PQR is
P(ΔPQR) = 36+48+24 = 108 cm
Because the triangles are are similar their sides are in proportion.
But how much bigger did the second triangle get?...is (92/48) times bigger
P(ΔSTU) = 180*(92/48) = 207 cm
...you can also use proportions to find each side and then find the perimeter
TU = 24*92 /48 = 46
TS = 36*92/48 = 69
SU = 92
P(ΔSTU) = 92+69+46 =207 cm
*the triangles are not drawn to scale
The Moon is about 240,000, or x _____ 10 miles from earth
Step-by-step explanation:
240,000 = 24 x 10^4
24 followed by 4 zeros = 24 x 104
Just make the number of zeroes be the exponent for 10
24 = 24 x 10^0
240 = 24 x 10^1
2400 = 24 x 10^2
24000 = 24 x 10^3
240,000 = 24 x 10^4 miles
Avery and Carmen both have summer jobs. Avery gets paid $360 every 4 weeks. Carmen gets paid $480 every 6 weeks. summer break lasts a total of 12 weeks. who will earn more money during summer break?
Answer:
Avery
Step-by-step explanation:
12/4=3 so Avery will be paid 3 times
360×3= $1080
12/6=2 Carmen will be paid twice
480×2=$960
Avery earns more
answer pls for 30 points and brainliest
Answer:
your answer will be letter B
Step-by-step explanation: