The value of x in the equation 5 - 3x = - 7 is 4.
The simple algebraic expression consists of numbers and variables. The objective is to determine the value of x in this expression.
From the given information;
5 - 3x = - 7-3x = -7 - 5-3x = -12Multiply both sides by (-)
3x = 12Divide both sides by 3
[tex]\mathbf{\dfrac{3x}{3} = \dfrac{12}{3}}[/tex]
x = 4
Therefore, the value of x in the equation 5 - 3x = -7 is 4.
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Final answer:
The value of x in the equation 5 - 3x = -7 is found to be x = 4 after isolating x through subtraction and division.
Explanation:
To solve the equation 5 - 3x = -7, we need to isolate x. Let's move through the steps together:
Subtract 5 from both sides of the equation to get: -3x = -7 - 5.Simplify the right side of the equation: -3x = -12.Divide both sides of the equation by -3 to isolate x: x = -12 / -3.Therefore, x = 4.The value of x in the equation is 4.
Madison used a coordinate plane to map out an L-shaped
herb garden, shown at the right. Each unit on the grid
represents yard. To buy a fence for the garden, she nee
to know its perimeter. What is the perimeter of the garde
od coction of the
Answer:
The perimeter of the garden is 14 yard.
Step-by-step explanation:
Consider the figure:
Each unit on the grid represents [tex]\frac{1}{2}[/tex] yard.
From the figure we can find that:
The length of FA is 3.5 yard
The length of EF is 3.5 yard
The length of DX is 2 yard
The length of CD is 2 yard
The length of CB is 1.5 yard
The length of AB is 1.5 yard
To find the perimeter of the garden we need to add all the length as shown:
Perimeter = FA + EF + DX + CD + CB + AB
Perimeter = 3.5 + 3.5 + 2 + 2 + 1.5 +1.5
Perimeter = 14 yards
Hence, the perimeter of the garden is 14 yard.
Given the domain {-4, 0, 5}, what is the range for the relation 12x + 6y = 24?A.{12, 4, -6}B.{-4, 4, 14}C.{2, 4, 9}D.{-12, -4, 6}
Answer:
{12, 4, -6}
Step-by-step explanation:
The relation is given by the equation as 12x + 6y = 24 ........... (1)
Now, the domain of this function is {-4, 0, 5}
We have to find the range of this function corresponding to the given domain.
Now, for x = - 4,
12(-4) + 6y = 24 {From equation (1)}
⇒ 6y = 72
⇒ y = 12
Now, for x = 0,
12(0) + 6y = 24 {From equation (1)}
⇒ 6y = 24
⇒ y = 4
Now, for x = 5,
12(5) + 6y = 24 {From equation (1)}
⇒ 6y = -36
⇒ y = -6
Hence, the range for the relation is {12, 4, -6} (Answer)
4-8(-2-6t) if t = -1
Answer:
-16
Step-by-step explanation:
4-8= -4 (-2-6t) if t=-1 instead of t besides 6 put -1 multiplier it which it will become positive.
-4(-2+6)
-4x-2=8, -4x6= -24
8-24=-16
trust me i know that i am right
57 first-year teachers and 19 experienced teachers attended a school staff meeting meeting. What percentage of the teachers in the meeting were first-year teachers?
Write your answer using a percent sign (%).
75% of the teachers were first-year teachers
Step-by-step explanation:
the formula for percentage will be used for the problem
The percentage is given by:
[tex]Percentage=\frac{Quantity}{Total}*100\\[/tex]
Here
Total teachers = 57+19 = 76
First-year teachers = 57
So,
[tex]Percentage\ of\ first\ year\ teacher = \frac{57}{76}*100\\=0.75*100\\=75\%[/tex]
Hence, 75% of the teachers were first-year teachers
Keywords: Percentage, Percent
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A small business owner wants to compare how much she spent with how much money she earned. The table shows her expenses and income.
If the expenses and income form a proportional relationship, what was the amount of income when she spent $300? pst the answer is d
A. $400
B. $600
C. $900
D. $1,200
Answer:?=x
100.800=200.400
200.x=300.800
200.x=240000
X=1200
Good luck!
Step-by-step explanation:
Answer:
D) $1,200
Step-by-step explanation:
300*4=1200
If y varies directly as x, and y is 400 when x is r and y is r when x is 4 what is the numeric constant of vanation in this relation
Answer:
y = 10*x
Step-by-step explanation:
y = kr --> 400
r = 4k
400 = k (4k) = 4k^2
k^2 = 400/4 = 100
k = sqrt(100) = 10
k = 10
Write y+7=4(x+2) in standard form.
Answer:
[tex]1 = 4x -y[/tex]
Step-by-step explanation:
Distribute the 4
[tex] y + 7 = 4x + 8[/tex]
Subtract the 7
[tex]y = 4x - 1[/tex]
Subtract y and add 1
Answer:
y = 4x - 1
Step-by-step explanation:
Distribute the 4
y + 7 = 4x + 8
Subtract the 7
y = 4x - 1
Samantha deposit 300 in an account that earns an annual interest rate of 2.5 after nine months she computes the simple interest. What mistakes did Samantha make?
Answer:
She is doing a mistake of calculating interest after 9 months in place of after 12 months.
Step-by-step explanation:
Samantha deposit $300 in an account that earns an annual interest rate of 2.5%.
Now, Samantha after nine months of deposit computes the simple interest.
She is doing a mistake of calculating interest after 9 months in place of after 12 months.
The calculation of interest should be on a yearly basis (i.e. 12 months) as the interest rate is 2.5% per year. (Answer)
Aquarius is an underwater ocean laboratory located in the Florida keys national marine sanctuary. Solve the equation 31/25x = -62 to find the value of x.
Answer:
x=-50
Step-by-step explanation:
31/25x=-62
x=-62/(31/25)
x=(-62/1)(25/31)
x=--1550/31
x=-50
Answer:
X = 50
Step-by-step explanation:
31/25 x = 62
25 times 31/25 x = 62 times 25
31x = 1550
31/31 = 1550/31
x = 50
visa usa stated that over the last year, the number of friday and saturday sales transactions increased 16% to $38.8 million. what were the total sales transactions at this time lasy year?
Answer:
$33.45 million
Step-by-step explanation:
The transaction increased by 16% between last year and this year.This mean that [tex]S_1=S_0\times{(1+16\%)=S_0\times{1.16}[/tex] ([tex]S_0[/tex] are last year sales and [tex]S_1[/tex] are this year sales. This means that, today's sales are greater than last year sales by a 16%.Then, [tex]S_0=\frac{S_1}{1.16} =33.45[/tex].Answer:
Last year’s sales transaction was $33.448 million
Explanation:
Consider the last year’s total sales transaction be x
According to question,
Sales were increased by 16% to 38.8 million
Then, according to question,
x + 16% of x = 38.8 million
Solving for x,
[tex]x + (\frac{16}{100})x[/tex] = 38.8 million
[tex]\frac{116}{100}x[/tex]= 38.8 million
x = [tex]\frac{(38.8 million \times 100)}{116}[/tex]
x = 33.448 million
Therefore, last year’s sales transaction was $33.448 million
Fiona wants to know the average weight of the animals in her town’s zoo. She finds the weight of one random animal from each pen or aquarium. The mean of her data is 145.4 pounds, and the median of her data is 106 pounds. Which prediction matches this data?
Answer:
A. About half of the animals at the zoo weigh less than 106 pounds
B. The average weight of al animals at the zoo is about 145.50
Step-by-step explanation:
The median weight is 106 pounds and the average weight of the animals at the zoo are 145.40
the difference between the measures of two supplementary is 42. Find both angles.
Answer:
111 deg and 69 deg
Step-by-step explanation:
let the angles be x and y
given:
x - y = 42 degrees -------> eq 1
also given that they are supplemantry,
i.e x + y = 180 degrees ----------> eq 2
by elimination,
eq 1 + eq 2
(x-y) + (x+ y) = 42 + 180
2x = 222
x = 111 degrees (substitute back into eq 2)
111 + y = 180
y = 180 - 111
y = 69 deg
find the product of the following expression (x-15) (x-3)
Answer:
x²-18x+45
Step-by-step explanation:
(x-15)(x-3)
Product of the first terms is x² [x times x] F
Product of the outer term is -3x [x times -3] O
Product of the inner term is -15x [-15 times x] I
Product of the last term is 45 [-15 x -3] L
Combine like terms and you'll get x²-18x+45
Convert 118.6% to an improper fraction in lowest terms
Answer: 593/500
Step-by-step explanation: To write a percent as a fraction in lowest terms, first remember that a percent is a ratio that compares a number to 100.
So here, 118.6% can be written as the ratio 118.6 to 100 or 118.6/100.
To write 118.6/100 in lowest terms, we first will need to multiply the numerator and the denominator by 10 to remove the decimal point. When we do this, we get the equivalent fraction 1186/1000.
Now, we can divide the numerator and the denominator by the greatest common factor of 1186 and 100 which is 2 and we get the equivalent fraction 593/500.
Therefore, 118.6% can be written as the improper fraction 593/500.
a letter is chosen from the word line and another is chosen from the word ride find the probability that the two letters chosen are the same
Answer:
2/16 or 1/8 or 12.5%
Step-by-step explanation:
2 of the outcomes are the same and it's out 16 total outcomes, so you would do 2 divided by 16 which is 12.5% or as a a fraction 2/16 or as a simplified fraction 1/8.
Order these numbers from least to greatest 3% 1/50 0.046 1/50
Answer:
1/50 then 3% then 0.046
Step-by-step explanation:
Is 2 yd greater than 200 cm
Answer:
no
Step-by-step explanation:
1 foot is 30.48 cm
So 1 yard is 3(30.48 cm) = 91.44 cm (less than 100 cm = 1 meter)
So 2 yards is about 183 cm, less than 200 cm
P(x)=2x^3+5x^2-2x-5 find the zeros
Answer:
x-5=0\\x=5
Step-by-step explanation:
luisa orders a sandwich from a food truck, the piece of the sandwich before tax is $8. Luisa wants to know the total price including a 7% sales tax
Luisa needs to pay $8.56 including sales tax.
Step-by-step explanation:
Price of piece of sandwich = $8
Sales tax = 7%
Amount of sales tax = 7% of price of sandwich
Amount of sales tax = [tex]\frac{7}{100}*8[/tex]
Amount of sales tax = [tex]\frac{56}{100} = \$0.56[/tex]
Total price to pay = Price of piece of sandwich + amount of sales tax
Total price to pay = [tex]8+0.56 = \$8.56[/tex]
Luisa needs to pay $8.56 including sales tax.
Keywords: sales tax, percentage
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Solving Problems with Unit Rates - Item 1097
Question
A car travels at a constant speed.
What is the car's speed between checkpoints, expressed as a unit rate?
Use the information given in the picture.
Checkpoint A
Checkpoint B
Time: 1:00p.m.
Time: 3:00 pm
Total Miles Driven: 120
Total Miles Driven: 208
CHECK
miles per hour
Answer:
44 miles per hour
Answer:
44 miles per hour
Step-by-step explanation:
If x varies directly as y, and x=4 when y=15, find x when y=36.
Answer:
x = 9.6
Step-by-step explanation:
Given that x varies directly as y then the equation relating them is
x = ky ← k is the constant of variation
To find k use the condition x = 4 when y = 15
k = [tex]\frac{x}{y}[/tex] = [tex]\frac{4}{15}[/tex]
x = [tex]\frac{4}{15}[/tex] y ← equation of variation
When y = 36, then
x = [tex]\frac{4}{15}[/tex] × 36 = [tex]\frac{144}{15}[/tex] = 9.6
The problem is related to direct variation and can be solved using the formula x=ky which expresses the direct proportionality of x and y. The constant of variation k is found using the values of x and y given and is applied to find the new x value when y=36.
Explanation:The problem discussed here is related to the concept of direct variation or direct proportionality. When we say that 'x varies directly as y', it means that x is proportionally related to y, and that relationship can be expressed by the equation x = ky, where k is the constant of variation.
In this case, you are given that x = 4 when y = 15. So, you can find the constant of variation 'k' by dividing x by y. Hence, k = x/y = 4/15.
Now, you are asked to find the value of x when y = 36. Given that x = ky, simply substitute k = 4/15 and y=36 into this equation. Therefore, x = (4/15)*36 which will yield the value of x.
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Given: <SPT = <RQT, ST = RT Prove: PR = QS
Answer:
See explanation
Step-by-step explanation:
Consider triangles PTS and QTR. In these triangles,
[tex]ST=RT[/tex] - given;[tex]\angle SPT=\angle RQT[/tex] - given;[tex]\angle STP=\angle RTQ[/tex] - as vertical angles when lines PR and SQ intersect.Thus, [tex]\triangle PTS\cong \triangle QTR[/tex] by AAS postulate.
Congruent triangles have congruent corresponding sides, so
[tex]PT=QT[/tex]
Consider segments PR and QS:
[tex]PR=PT+TR\ [\text{Segment addition postulate}]\\ \\QS=QT+TS\ [\text{Segment addition postulate}]\\ \\PT=QT\ [\text{Proven}]\\ \\ST=RT\ [\text{Given}][/tex]
So,
[tex]PR=SQ\ [\text{Substitution property}][/tex]
Please answer asap ok its only 15 points but please
Answer: 66.5
Step-by-step explanation:
divide the figure into a triangle (the top part) and a rectangle (the lower part)
To find the area of the rectangle use the formula:
length times width = area
(LW=A)
8 times 7 is 56 so the area of the rectangle is 56.
the formula for area of a triangle is base times height halfed
(BH)1/2
the height is 3 because the height of the entire figure is 11 so subtract the height of the rectangle from that (8) to get 3.
the base is 7 so
7(3)(1/2) is 10.5
add up the two areas together (10.5+56) to get 66.5 cm squared.
answer: 66.5
What is the value - 3/2 ( 24 - 5 1/4 ) ?
A) - 44
B) - 41 1/3
C) - 28
D) 30 2/3
Answer:
-225/8
Step-by-step explanation:
-3/2(24-5 1/4)
5 1/4=21/4
-3/2(24-21/4)
-3/2(96/4-21/4)
-3/2(75/4)
-225/8
Which of the following expressions are equivalent to 4^-3/4^-8?
Answer:
A. [tex]\frac{4^{8} }{4^3}[/tex]
D. [tex]4^{5}[/tex]
Step-by-step explanation:
We have to calculate to find the result -
The expression is = 4^(-3)/4^(-8)
According to the indices rule, the power will be deducted if it is a division.
Therefore, [tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]a^{m-n}[/tex]
Using that formula,
= [tex]4^{-3-(-8)}[/tex]
= [tex]4^{-3+8}[/tex]
= [tex]4^{5}[/tex]
Therefore, the answer choice D is the option, and the answer is 4^5.
Option A is also correct. Because we can find 4^5 with the help of that option.
[tex]\frac{4^8}{4^3}[/tex]
= [tex]4^{5}[/tex]
Alternative way,
4^(-3)/4^(-8)
= 4^(-3+8)
= 4^(8-3)
= 4^8/4^3
In the is way, we can also find option A is correct.
Answer:
A&D
1 & 4
[tex]\frac{4^8}{4^3}[/tex] and [tex]4^{5}[/tex]
Step-by-step explanation:
edge 2021
albert needs 30 meters of wood to build a large wooden frame> He bought three different lengths of wood measuring 12.5, 11.43 and 7.244 metere. After he builds the frame, how many meters will albert have left?
Answer:
After Albert builds the frame, 1.174 meters of wood will be left.
Step-by-step explanation:
Here, the total length of wood required to build wooden frame = 30 meters
The length of the wooden pieces collected are:
First piece = 12.5 m
Second Piece = 11.43 m
and Third Piece = 7.244 m
Now, the total length of wood all pieces combined
= Length of (First + second + third ) Piece
= 12.5 m + 11.43 m + 7.244 m = 31.174 m
So, the combined length of all wooden pieces = 31.174 m
Now, the left over length = Total wood collected - The length required
= 31.174 m = 30 m = 1. 174 m
Hence, after he builds the frame, 1.174 meters wood will be left.
12.8 rounded to the nearest whole number
Answer:
13
Step-by-step explanation:
you're kidding, how do you not know this but I mean I'm here to help even if you're not the brightest
Answer:
the answer is 13. because you round up
how do you factor
- 8x2 + 28x +60
Answer:
4 • (x - 5) • (2x + 3)
Step-by-step explanation:
Step-1 : Multiply the coefficient of the first term by the constant 2 • -15 = -30
Step-2 : Find two factors of -30 whose sum equals the coefficient of the middle term, which is -7 .
-30 + 1 = -29
-15 + 2 = -13
-10 + 3 = -7 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -10 and 3
2x2 - 10x + 3x - 15
Step-4 : Add up the first 2 terms, pulling out like factors :
2x • (x-5)
Add up the last 2 terms, pulling out common factors :
3 • (x-5)
Step-5 : Add up the four terms of step 4 :
(2x+3) • (x-5)
Which is the desired factorization
Austin has two Marvel posters he wants to hang on the wall in his bedroom. The wall
is 16.5 feet wide and each poster is 5 3/4 feet wide. Austin wants to place the
posters on the wall so that the distance from the edge of each poster to the nearest
edge of the wall is the same as the distance between the posters, as shown in the
diagram below. Which choice below represents that distance?
Answer:
Answer is 1 2/3 pretty sure thats it bc i just took the same quiz and got that question right.
Step-by-step explanation:
Pizza-By-The-Slice sells 7 slices every 10 minutes on average. How many
slices should they expect to sell in 8 hours? Explain how you decided.
Answer:
Step-by-step explanation:
Expected in answer is 336.
Explanation: As we know that Pizza-By-The-Slice sells & slice in 10 and in ! hour we have 60 minutes so we simply multiply 7 by 6 which is equal to 42 so they sell 42 slice in 1 hour and we want to know the how much they sell in 8 hours so we simply multiply 42 by 8 and we get the expected slice sell in * hours which will 336.