The value of x for which equation 0.75(x + 20) = 2 + 0.5(x - 2) becomes true is equal to -56.
An equation is given which is 0.75(x + 20) = 2 + 0.5(x - 2).
We have to find out the value of x for which the equation becomes true.
What do you mean by algebraic expressions ?
The algebraic expressions are those which are made up of variables, constants and algebraic operations i.e., addition, subtraction, etc.
As per the question ;
The equation given is 0.75(x + 20) = 2 + 0.5(x - 2)
Let's solve to get the value of x.
⇒ 0.75(x + 20) = 2 + 0.5(x - 2)
⇒ 0.75x + 15 = 2 + 0.5 x - 1
⇒ 0.75x - 0.5x = 1 - 15
⇒ 0.25x = - 14
⇒ x = -14 ÷ 0.25
⇒ x = - 56
Let's check ;
0.75(x + 20) = 2 + 0.5(x - 2)
0.75 ( -56 + 20 ) = 2 + 0.5 ( -56 - 2 )
(0.75 × -56) + (0.75 × 20) = 2 + (0.5 × -56) + (0.5 × -2)
-42 + 15 = 2 -28 - 1
-27 = -27
Both sides are equal for value of x = -56.
Thus , the value of x for which equation 0.75(x + 20) = 2 + 0.5(x - 2) becomes true is equal to -56.
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find the slope of the line that passes through (4,1) and (7,5)
Answer:
4/3
Step-by-step explanation:
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Evaluate r/2 + (7/8 - s)
when r=1 and s =1/2
OA) 7/8
OB)3/2
OC)15/8
OD)19/8
Answer:
option C is the correct one according to me
Answer:
7/8
Step-by-step explanation:
Yes
Which of the following is an example of discrete data?
A. The distance between two cities
B. The number of siblings each student in a class has
C. Weights of sumo wrestlers
D. The length of a movie
The answer is B! Lucky guess
Answer:
this is right
Step-by-step explanation:
i just took the test and it was B!
The discrete data is option B.
What is sample space?The sample space S of a random experiment is defined as the set of all possible outcomes of an experiment. In a random experiment, the outcomes, also known as sample points, are mutually exclusive
A. Continuous data example would be the distance between two cities, which may take on any value along a continuous scale.
C. Another example of continuous data is sumo wrestler weights, which can take on any value along a continuous scale.
D. Another example of continuous data is movie duration, which can have any value along a continuous scale.
B. An example of discrete data is the number of siblings each student in a class has. The only possible values for discrete data are generally integers. The number of siblings a student has in this situation can only be a whole number, making it discrete data.
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The Teknomite Corporation must appoint a president, chief executive officer (CEO), a chief operating officer (COO). It must also appoint a planning Committee with three different members. There are eight qualified candidates, and officers can also serve on the committee. How many ways can the officers be appointed? How many different ways can the committee be appointed?
Answer:
336 ways ;
56 ways
Step-by-step explanation:
Number of ways to have the officers :
Number of qualified candidates, n = 8
Number of officer positions to be filled = 3
A.)
Using permutation (since the ordering matters):
nPr = n! ÷(n-r)!
8P3 = 8! ÷ (8-3)!
8P3 = 8! ÷ 5!
8P3 = (8*7*6)
8P3 = 336 ways
B.) Different ways of appointing committee: (ordering doesn't count as officers can also be appointed)
Using the combination relation :
nPr = n! ÷(n-r)!r!
8C3 = 8! ÷ (8-3)! 3!
8C3 = 8! ÷ 5!3!
8C3 = (8*7*6) ÷ (3*2*1)
8C3 = 336 / 6
8C3 = 56 ways
Help would be very much appreciated!! Graph the line that has a slope of − 1/3 and contains the point (3,−7)
Answer:
Point the point on the graph (3,-7) by find 3 on the x axis (horizontal line) and than going down -7 coordinates. and then start plotting points that are at a slope of 1/3 so you would go up 1 from the point (3,-7) and than go 3 right and then plot a point, and keep doing that to make a lot of points that create a straight line at the end when you connect them!
hope it helped!
2) How much sales tax does Jaylen have to pay if the sales tax rate
is 8.875%? What is Jaylen's final price?
Answer:
The New York (NY) state sales tax rate is currently 4%. Depending on local municipalities, the total tax rate can be as high as 8.875%. Other, local-level tax rates in the state of New York are quite complex compared against local-level tax rates in other states.
Help ASAP Question:
The Department of Transportation's salt and sand mixing sheds are in the shape of a cone. One of the sheds measures 50 ft
high and 40 ft in diameter. What is the approximate volume of this shed? Use 3.14 for pi, Round to the nearest whole
number
Answer:
HI 56
Step-by-step explanation:
Solve the equation. You may find using algebra tiles to be helpful.
3n − 2 = 7
Answer: i believe you're trying to find N, if so N=3
Step-by-step explanation:
you would start by adding +2 to each side of the equation, leaving you with 3n=9
you would then divide each side by 3, which gives you N=3
Find the area of the triangle, please hurry and show your work
Answer:
140 m^2
Step-by-step explanation:
area of triangle is (base X height)/2
so it would be (20 X 14)/2
which equals 140
The lifespans of gorillas in a particular zoo are normally distributed. The average gorilla lives 20.8 years; the
standard deviation is 3.1 years.
Use the empirical rule (68 – 95 - 99.7%) to estimate the probability of a gorilla living between 11.5 and 27 years.
£1800 is invested for 3 years at 2% per year simple interest work out total interest
Answer:
£108
Step-by-step explanation:
the rule of the simple interest is:
I=PRT
P=£1800 R=0.02 T=3
I=1800×0.02×3
I=£108
bin at a department store contains blue and red blankets. The ratio of blue blankets to red blankets is 2 to 3. What percent of the blankets in the bin are blue?
Answer:
66.6667
2 out of 66.6667 is 3%
Step-by-step explanation:
2 out of what is 3%?
2 out of X is 3%
Equation: Y/X = P%
Solving our equation for X
X = Y/P%
X = 2/3%
Converting percent to decimal:
p = 3%/100 = 0.03
X = 2/0.03
X = 66.6667
Answer:
66.6667
2 out of 66.6667 is 3%
Step-by-step explanation:
2 out of what is 3%?
2 out of X is 3%
Equation: Y/X = P%
Solving our equation for X
X = Y/P%
X = 2/3%
Converting percent to decimal:
p = 3%/100 = 0.03
X = 2/0.03
X = 66.6667Answer:
Step-by-step explanation:
Can someone explain the steps on how to do this equation?
(Solving Systems of Linear Equations By Graphing)
Answer:
4,-5^5=5×+89+666+999+777
Find the solution to the system of equations. y= 2x + 3 (-1, [?])
Answer:
(-1, 1)
Step-by-step explanation:
plug in -1 for x
y = 2(-1) + 3
y = -2 + 3
y = 1
(-1, 1)
Sue claims that the solution to the equation 12x-3(5+4x)=7x+20 is x =-5 she shows the steps below to justify her solution
Answer:
Sue is correct and I did the steps below.
Step-by-step explanation:
12x-3(5+4x)=7x+20
12x-15-12x=7x+20
-15=7x+20
-35=7x
-5=7
After eating dinner at a restaurant your bill was $56. You plan to leave a 20% tip. What will your total cost be? (Hint: find the tip amount first).
i need the answer soon!!
Answer: $67.20
Step-by-step explanation:
56 × 0.2 = 11.2
11.2 + 56 = $67.20
Which is bigger 100 or 10%
Answer: 10%
Step-by-step explanation:
even tho 100 is a bigger number the amount of 10% is 10 times bigger than 100%
10% in number form is .1
soooooooo
100 is def bigger lel
Help please I’ll give a Brainly thing
Answer:
C
Step-by-step explanation:
a quadratic is an equation in the form f(x) = ax2 + bx + c. C is in this form. A quadratic cannot have a variable as the exponent, like A, but must have an exponent, among other things. C is the only answer that meets these criteria.
Round 26.69 to the nearest hundredth
Answer:
26.70
Step-by-step explanation:
help me plz due soon
A pet store has 8 cats. Here are their weights (in pounds).
6, 14, 5, 8, 11, 10, 5, 10
Find the mean weight of these cats.
If necessary, round your answer to the nearest tenth.
Answer:
The mean is 8.6
Step-by-step explanation:
You want to add all of the weight together, then you want to divide that number by how many cats there were.
What is the volume of a cylinder, in cubic centimeters, with a height of 2 centimeters
and a base diameter of 20 centimeters? Round to the nearest tenths place
Answer:
V ≈ 628.3 cm³Step-by-step explanation:
Volume of cylinder: V = π×r² × h
diameter = 20 cm ⇒ r = 10 cm
h = 2 cm
Volume:
V = π×(10)²×2 = 200π cm³ = 628.318.... cm³ ≈ 628.3 cm³
How is triangle ABC being translated to triangle A'B'C'
Answer:
Both vertically and horizontally
Step-by-step explanation:
It moved down and to the side.
4.
Jack sees gum on sale at the store. It says 12 packs of gum for $3.00. How much
is each pack of gum?
I
Answer:
12 packs of gum=$3.00
1packs of gum=$3.00/12=$0.25
Given X is midpoint of RS , MX =XS Prove Mx =RX
Answer:
Transitive Property
Step-by-step explanation:
Since X is the midpoint, it bisects the points RS. If MX=XS, and RS is the same as XS, then they are the same. This also follows the Transitive propety (if a=b and b=c, then a=c)
What is 4/6 x 6 as a mixed number?
Answer:
4
Step-by-step explanation:
4/6 x 6 can be thought of as 4/6 x 6/1.
When multiplying two fractions, multiply the numerator (top number) with the numerator and the denominator (bottom number) with the denominator.
So we have: (4x6) / (6x1)
Which can be simplified to: 24/6, or 4.
Let me know if this helps!
Please Help and no fakes, please!
Answer:
45 its easy brainliest
Step-by-step explanation:
jayfeather friend me
Answer:
45
Step-by-step explanation:
6x+9
6(6)+9
36+9
45
the answer is 45
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Answer:
Step-by-step explanation:
y= 2x +1 because
11= 2*5 +1
13 = 2*6 +1
21= 2*10 +1
so for x=8 will be n= 2*8+1 = 17
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Lily was out at a restaurant for dinner when the bill came. She wanted to leave a tip of 19%. What number should she multiply the cost of the meal by to find the total plus tip in one step
Answer: she should multiply 0.19 to the original price and then add that to the total cost before the tip and there is your answer.
Step-by-step explanation:
