Answer:
x = -20
Step-by-step explanation:
Solve for x:
(3 x)/4 + 7 = -8
Put each term in (3 x)/4 + 7 over the common denominator 4: (3 x)/4 + 7 = (3 x)/4 + 28/4:
((3 x)/4 + 28/4) = -8
(3 x)/4 + 28/4 = (3 x + 28)/4:
(1/4 (3 x + 28)) = -8
Multiply both sides of (3 x + 28)/4 = -8 by 4:
(4 (3 x + 28))/4 = -8×4
(4 (3 x + 28))/4 = 4/4×(3 x + 28) = 3 x + 28:
(3 x + 28) = -8×4
4 (-8) = -32:
3 x + 28 = -32
Subtract 28 from both sides:
3 x + (28 - 28) = -28 - 32
28 - 28 = 0:
3 x = -28 - 32
-28 - 32 = -60:
3 x = -60
Divide both sides of 3 x = -60 by 3:
(3 x)/3 = (-60)/3
3/3 = 1:
x = (-60)/3
The gcd of -60 and 3 is 3, so (-60)/3 = (3 (-20))/(3×1) = 3/3×-20 = -20:
Answer: x = -20
Find the length of FH
Use Order of Operations
mot to solve.
14+7 x 54 ÷6-7
The phone company Ringular has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of money per minute used on the phone. If a customer uses 500 minutes, the monthly cost will be $132. If the customer uses 700 minutes, the monthly cost will be $172.
A) Find an equation in the form
y=mx+b
where
x
is the number of monthly minutes used and
y
is the total monthly of the Ringular plan.
The equation in the form y = mx + b is as follows:
y = 1 / 5 x + 32
How to represent a linear equation?The customer uses 500 minutes, the monthly cost will be $132. If the customer uses 700 minutes, the monthly cost will be $172.
Using linear equation in slope intercept form,
y = mx + b
where
m = slopeb = y-interceptHence,
x = the number of monthly minutes used
y = the total monthly of the Ringular plan
Therefore, the equation in slope intercept form can be represented as follows:
(500, 132)(700, 172)
let's find the slope,
m = 172 - 132 / 700 - 500
m = 40 / 200
m = 4 / 20
m = 1 / 5
Hence,
y = 1 / 5x + b
using (500, 132) let's find the y-intercept
132 = 1 / 5 (500) + b
132 = 100 + b
b = 132 - 100
b = 32
Therefore, the equation in the form y = mx + b is as follows:
y = 1 / 5 x + 32
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What is the difference between -5 and 3 on a number line
Answer:
8
Step-by-step explanation:
-5 is 5 units left of zero.
3 is 3 units right of zero.
The difference is 8.
5. Estimate:
$53
X 4
+what do I add
Math
Identify all the pairs of parallel sides of each figure.
Answer:
2 on the 1st, 1 on the second, 3 on the third, 1 on the fourth
Between what two integers does square root of -80 lies
Answer: 8 and 9
Step-by-step explanation:
square root of - 80 is 8.94427191 so 8 and 9 is the integers around it.
Simplify.
(y^5)^3
Write your answer without parentheses.
Answer:
[tex]\boxed{\sf y^{15}}[/tex]
Step-by-step explanation:
Given expression:
[tex]\sf (\:y^5\:)^3[/tex]When any expression is given in the format [tex]\sf (\ a^b \ )^c[/tex] then [tex]\sf a^{bc}[/tex].
[tex]\sf \rightarrow y^{5(3)}[/tex]simplify
[tex]\sf \rightarrow y^{15}[/tex]A 500 kg car heads through a loop with a 20 m radius. At the top of the loop, the car is moving at 14 m/s. If air resistance is negligible, what would the car's velocity be at the bottom of the loop?
The speed of the car at the bottom of the loop is approximately 31.3 m/s
How can the velocity at the bottom of the loop be calculated?The given parameters are;
Mass of the car = 500 kg
Radius of the loop = 20 meters
Velocity of the car at the top of the loop = 14 m/s
The kinetic energy at the top of the loop is therefore;
K E. = 0.5×500×14² = 49,000
The potential energy gained = 500×9.81×40 = 196200
Total energy = 49,000 + 196,200 = 245,200
The velocity at the bottom is therefore;
0.5×500×v² = 245,200
v² = 245,200 ÷ (0.5×500) = 980.8
v = √(980.8) ≈ 31.3
The velocity at the bottom of the loop is therefore;
v ≈ 31.3 m/sLearn more about the conservation of energy principle here:
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Simplify to create an equivalent expression.
\qquad{2(3y+6)-3(-4-y)}2(3y+6)−3(−4−y)2, left parenthesis, 3, y, plus, 6, right parenthesis, minus, 3, left parenthesis, minus, 4, minus, y, right parenthesis
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
9y9y9, y
(Choice B)
B
5y+245y+245, y, plus, 24
(Choice C)
C
9y-249y−249, y, minus, 24
(Choice D)
D
9y+249y+24
The generated equivalent expression is 9y + 24. So, the correct answer is option D.
What is an expression?
An expression can be defined as the combination of variables and constants with two or more operations applied on it. The operation can be addition, subtraction, multiplication and division.
Simplifying to generate an equivalent expression
The given expression is 2(3y + 6) - 3(- 4 - y)
= 2(3y + 6) + 3(4 + y)
= 6y + 12 + 12 + 3y
= 6y + 3y + 24
= 9y + 24
Hence, the generated equivalent expression is 9y + 24.
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what’s the answer to this question
need the domain and range!
Answer: Domain: [-1, 1]
Range: [-2, 3]
Step-by-step explanation:
Domain: The x-values go from -1 to 1 with x=-1 and x=1 included.
Range: The range starts at the vertex of the function which is y=-2 and goes up to y=3 where the graph is cut off by 2 points on y=3.
f(x)=8x+2, evaluate f(6)
Answer:
50
Step-by-step explanation:
The answer is 50 because f(6) basically means to substitute 6 for x.
8(6)+2
48+2
50
So the evaluation of f(6) is 50
a. What is m TVZ? Show your work.
3x
120°
T
R
v (2x+15)
(2x + 5)°
Answer:
95°
Step-by-step explanation:
You want the measure of angle TVZ, when adjacent angle (2x+5)° and its supplement (2x+15)° are given. The larger of these is a vertical angle with respect to TVZ.
Linear pairThe angles marked (2x+15)° and (2x+5)° are a linear pair, hence supplementary.
((2x+15)° +(2x+5)° = 180°
4x +20 = 180 . . . . simplify
x +5 = 45 . . . . . . . divide by 4
x = 40 . . . . . subtract 5
Angle TVZ is a vertical angle with respect to the one marked (2x+15)°, so has the same measure:
∠TVZ = (2(40)+15)°
∠TVZ = 95°
__
Alternate solution
The two angles RVW (2x+15)° and ZVW (2x+5)° obviously differ by 10°. They are a linear pair, so their sum is 180°. Finding these angles is then a "sum and difference" problem. The larger of the solutions is the one we want, as (2x+15)° is a vertical angle to TVZ. We know the larger of the solutions to the sum and difference problem will be (180° +10°)/2 = 95°, the measure of TVZ.
More about sum and difference problems:
When a+b = s, and a-b = d, the larger value (a) can be found by adding these equations: (a+b) +(a-b) = s+d, or 2a = s+d, or a = (s+d)/2. This is the expression we used above to find the larger of the two angles. (You notice it is not necessary to solve for x.)
Bre'Aujanaye operates a flower shop in Paris. All employee can take orders, sell flowers, make arrangements, and commit the store to large orders for weddings, banquets, and
special events. Why type of organization does Bre'Aujanaye have?
The type of market in which all employee can take orders, sell flowers, make arrangements, and commit the store to large orders for weddings, banquets, and special events is Oligopoly.
What is Oligopoly?An oligopoly is a market characterized by a small number of firms who realize they are interdependent in their pricing and output policies. The number of firms is small enough to give each firm some market power.
Given situation:
All employee can take orders, sell flowers, make arrangements, and commit the store to large orders for weddings, banquets, and special events.
As, A market structure known as an oligopoly occurs when a few large sellers or manufacturers control a sizable portion of a market or an entire sector.
Oligopolies are frequently the outcome of corporate collaboration as a way to increase profits.
Some examples of oligopolies include the car industry, petrol retail, pharmaceutical industry, coffee shop retail, and airlines.
So, as discussed in the given case employee can take orders, sell flowers, make arrangements, and commit the store to large orders for weddings, banquets, and special events to make some profit.
Hence, The type of market is Oligopoly.
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Which of the following best represents the
rate of change of this function?
A -1/2
B 1/2
C 2
D -2
Answer:
Step-by-step explanation:
Need more clarification! Which function?
given g(x) is ...............
Answer:
-40
Step-by-step explanation:
It states with g(-2) that x = -2, so we can plug -2 for x.
g(x) = 3x^3 - 2x^2 + 4x
g(x) = 3(-2)^3 - 2(-2)^2 + 4(-2)
g(x) = 3(-8) - 2(4) + 4(-2)
g(x) = -24 - 8 - 8
g(x) = -40
please answer as soon as possible
Three angles add up to 180 degrees, angle one has a measure of 4x+8, angle two has a measure of 8x+3 and angle three has a measure of 9x+3.
Given that the sum of the angles is 180 degrees, what is the measure of angle one? Round your answer to the hundredths place IE 79.50.
Answer:
39.60°
Step-by-step explanation:
The sum of three angles is 180 degrees.
Show this as equation and solve for x:
4x + 8 + 8x + 3 + 9x + 3 = 18021x + 14 = 18021x = 166x = 166/21x = 7.90 (rounded)Angle one is:
4*7.90 + 8 = 39.60If l = √m-5 and m = 4n²-3, what is l when n = 2? What is n when l = 4?
what of disibility rules?
() Which number is closest to √5?
1.7
2.2
3.4
3.1
Answer:
Step-by-step explanation:
10=7-m
Do I minus by 10 on each side or do I add minus by 7?
Answer:
[tex] \sf \large{m=−3}[/tex]
Step-by-step explanation:
Let's solve your equation step-by-step.
10=7−m
Step 1: Simplify both sides of the equation.
10=7−m
10=7+−m
10=−m+7
Step 2: Flip the equation.
−m+7=10
Step 3: Subtract 7 from both sides.
−m+7−7=10−7
−m=3
Step 4: Divide both sides by -1.
−m/−1= 3/−1
m=−3
How many times larger is (1.064 x 101) than (7 x 10−1)?
0.152
15.2
6.58
7.448
Answer:
is 15.2
Step-by-step explanation:
A student showed their work when dividing fractions. Explain their errors and find the correct solution!
6 \ 3/4=6/1x3/4
=18/4
4 2/4 or 4 1/2
The correct solution of division fractions is 18/4.
What is division?Multiplication is the opposite of division. If 3 groups of 4 add up to 12, then 12 divided into 3 groups of equal size results in 4 in each group. The primary objective of division is to count the number of equal groups that are created or the number of individuals in each group after a fair distribution.
When describing how much of anything is left over, a fraction is used. It represents the appropriate parts of the totality. A fraction is made up of two parts: the numerator and the denominator
Given that,
The division fraction is 6× 3/4
So, the fraction is 6/1×3/4
Therefore, the division fraction is 4×2/4 or 18/4
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What is the product of additive inverse of -1/3 and multiplicative inverse of 5/3
Answer: 1/3 and 3/5
Step-by-step explanation:
1. Which of the following is a linear inequality in two variables? A. 3a-2b = 6 C. 3x ≤ 10 B. 3c+16 < -10 D. 3x + 4y ≥ 10
Answer:
D
Step-by-step explanation:
a linear expression in two variables has the form ax + by
an inequality uses the symbols < , > , ≤ , ≥
the only expression in this form is
3x + 4y ≥ 10
Bill is buying several bottles of pop for a party. They each cost the same amount.
If Bill can buy 4 bottles for $7.16, how many bottles could he buy for $10.74?
Answer:
6
Step-by-step explanation:
First, divide 7.16 by 4 to find the price of one bottle, which is 1.79. Then, divide 10.74 by 1.79 to get 6.
Write as a
14/11
as a decimal.
0 0.36
0.36
0.036
O 0.36
Answer:
Step-by-step explanation:
divide 14 by 11
which is 0.36
write an equivalent expression
Answer:
[tex]3^{-9}[/tex]or [tex]\frac{1}{3^{9} }[/tex]
Step-by-step explanation:
3^3/3^12 = 3^3 * 3^(-12) = 3 ^(3-12) = 3^(-9) or 1/3^9
What is this number sequence called?
7, 22, 11, 34, 17, 52, 26, 13 and so on.
The numbers 7, 22, 11, 34, 17, 52, 26, 13 and so on represent hailstone sequence.
What is a hailstone sequence?These patterns are referred to as hailstone sequences because the values frequently rise and fall, resembling a hailstone inside a cloud.
It should be noted that such numbers can either rise or fall.
Therefore, the numbers 7, 22, 11, 34, 17, 52, 26, 13 and so ob represent hailstone sequence.
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Determine the slope & y-intercept
5y-7x=9