Answers
Apply the means-extremes property of proportions: this allows you to cross multiply:
[tex]\boxed{\mathsf{\dfrac{x}{4} = \dfrac{x - 6}{3}}}[/tex]
[tex]\mathsf{\dfrac{x}{4} \searrow \dfrac{x - 6}{3}}[/tex] [tex]\mathsf{\dfrac{x}{4} \nearrow \dfrac{x-6}{3}}[/tex]
[tex]\boxed{\mathsf{3x = 4(x - 6)}}[/tex]
Apply the distributive property:
[tex]\mathsf{3x = 4(x-6)}[/tex]
[tex]\mathsf{3x = 4(x) - 4(6)}[/tex]
[tex]\mathsf{3x = 4x - 24}[/tex]
Add 24 to both sides:
[tex]\mathsf{3x + 24 = 4x - 24 + 24}[/tex]
[tex]\mathsf{3x + 24 = 4x}[/tex]
Substract 3x to both sides
[tex]\mathsf{3x - 3x + 24 = 4x - 3x}[/tex]
[tex]\mathsf{24 = 4x - 3x}[/tex]
[tex]\large{\boxed{\mathsf{24 = x}}}[/tex]
Answer. The value of x = 24.
Related Questions
PLEASE HELP DUE IN 30 MIN I WILL GIVE BRAINLIEST PLEASE HELP AND DONT SPAM PLEASE HELP IM ALREADY FAILING MATH :-(
Answers
A= adults, S = students
A + S = 155 (# of tickets)
7A + 3S = 645 (total profit)
S = 155 - A , based on the first equation
Now substitute S into the second equation.
7A + 3(155 - A) = 645
7A + 465 - 3A = 645
4A = 180
180/4 = 45 adult tickets sold.
Evaluate the expression 7/13 × 8/11
Answers
Answer:
56/143
Step-by-step explanation:
For fraction multiplication, multiply the numerators and then multiply the denominators to get
7*8/13*11 = 56/143
This fraction cannot be reduced.
Therefore:
7/13 * 8/11 = 56/143
Can anyone help me plz?
Answers
Answer:
28
Step-by-step explanation:
5(7)=35
35-7=28
I need to find the unit rate for all three of these, if anyone could help me that’d be great! I’ll even mark as brainliest!!
Answers
Answer:
5b: 14 feet per second
4: 25 students per classroom
5a: 1 Cups of flour per Cups of sugar
Step-by-step explanation:
help this helps
Which of these is a solution to the equation 1/8 = 2/5 times x
17/40
2/40
5/16
11/40
Answers
Answer:
the answer to this is 5/16
please help, and please show work if you can <33
Answers
Answer:
where is the question ?
Step-by-step explanation:
Please answer this and what is 56/123 as a decimal and answer to two decimal places
Answers
Answer:
56/123 as decimal: 0.4553
39/7=5 4/7 as a mixed fraction
I need helpppp!!! What is number 9,10 ?
Answers
Answer:
9) 28/36 = 7/9
10) Total animals = 84
36/84= 3/7
There are 5 red apples and 2 green apples in a bowl. Which phrase describes a ratio relationship between the two quantities?
Answers
Answer:
5:2
Step-by-step explanation:
This means there are 5 red apples as long as there are 2 green apples.
It takes 3 men 8 hours to build a wall how long would it take 4 men to build the same
Answers
a car traveled 120 miles at a certain average rate. by increasing its average rate by 10 mph, it traveled 160 miles in the same time it traveled 120 what is the average rate for the first trip
Answers
Answer: trip one= 30 mph
Step-by-step explanation:
R*t= distance
First trip= r1*t1= 120 miles
Second trip= (R1+10)*t1= 160 miles
Solve for t1
T1=4
Use Equation from first trip
R1* 4= 120
R1= 30 mph
malia has $500 to purchase water bottles and pairs of socks for a fundraiser for her school's cross country team. She needs to buy a total of at least 200 items without buying too many of just one item. What graph shows the possible numbers of water bottles and pairs of socks that malia should buy?
Answers
Answer
6.9step-by-step explanation: simple math really6 1/2 times 0.6 = 3.9but if you are just doing 6
Step-by-step explanation:
simplify (4a^4b^9c)^2
Answers
Answer:
16a^8 b^18 c^2
Step-by-step explanation:
(4a^4b^9c)^2
=> 4^2(a^4)^2(b^9)^2 x c^2
evaluate the power
16 (a^4)^2(b^9)^2 x c^2
16a^8 b^18 c^2
peter buys 4 1/2 pounds of fertilizer for his front yard every 5 weeks. He uses the same amount every time he gardens. How many kilograms of fertilizer will he buy each year
Answers
Explanation
You take 52 and divide by 5 because you’re trying to figure out for the whole year. Then you take what 52 divided by 5 is and multiply by 4.5 since he buys 4.5 pounds every 5 weeks. Then you convert that number which is 46.8 into kilograms which gives you 21.22812
Mr. Fraser bought new shingles for his house for $2,900 using a credit card. His card has an interest rate of 12%. If he does not pay off his balance at the end of the month and has no other charges, how much money will he owe on his credit card at the end of the month?
Answers
Answer:
he will owe $3,248
Step-by-step explanation:
Help!
What is the length of a rectangle with width 10 in and area 45 in square
Answers
Step by step: Area of a rectangle is length times width so 10xl= 45. Then divide 45 by 10 to get the length
what is the slope on y-intercept for this and the equation
Answers
Answer: Slope is 5/3
Step-by-step explanation:
Use formula Y² - Y¹ divide by X² - X¹
= 10 - 5 divide by 6 - 3
= Slope is 5/3
CAN SOMEONE PLZZZ HELP ME???
Answers
How many meters are in 275 inches
Answers
Answer:
6.985
Step-by-step explanation:
Find the volume and surface area of a water droplet with a radius of 39ft and height of 81ft
Answers
Answer:
I really do not know seriously.
help me please i need a good grade
Answers
for number 1 its mixed numbers...and number 2 is The denominator
Use the graph and match the question to the correct feature.
Occurs at the points (-6, 1) and (5, 1)Required to answer. Single choice.
Answers
Answer:
where is the paragraph can show it
work out giving your answer in its simpliest form 2/3 × 3 3/5
help asap I will give brainlist
Answers
Answer:
2 2/5 or 12/5
Step-by-step explanation:
Hope this helps :)
Answer:
Step-by-step explanation:
i worked it out below. hopefully you understand
Hailey invested $1,700 in an account paying an interest rate of 2.2% compounded
monthly. Assuming no deposits or withdrawals are made, how long would it take, to
the nearest year, for the value of the account to reach $2,590?
Answers
It would take approximately 19 years for the value of the account to reach $2,590.
How long would it take for the value of the account to reach $2,590?The formula accrued amount in a compounded interest is expressed as;
A = P( 1 + r/n )^( n × t )
Where A is accrued amount, P is principal, r is interest rate and t is time.
Given that:
Principal P = $1,700Compounded monthly n = 12Interest rate r = 2.2%Accrued amount A = $2,590Time t = ?First, convert R as a percent to r as a decimal
r = R/100
r = 2.2/100
r = 0.022 per year.
Plug the given values into the above formula and solve for time t.
A = P( 1 + r/n )^( n × t )
t = In(A/P) / n[ In( 1 + r/n ) ]
t = In( $2,590/$1,700 ) / ( 12[ In( 1 + 0.022/12 ) ] )
t = 19.155 years
t = 19 years
Therefore, the time taken is approximately 19 years.
Learn more about compound interest here: brainly.com/question/27128740
#SPJ1
PLS HELP PLS HELP QUICK
Answers
Answer:
170
Step-by-step explanation:
Let the number of cell phones be x
2 : 3 = 68: x
Product of extremes = product of means
2 * x = 68 * 3
x = [tex]\frac{68*3}{2}[/tex]
= 34 * 3
x = 102
Number of phones = 102 + 68 = 170
0.2+0.5+7/10+1.6. alguien que me ayude porfa
Answers
I need help ASAP due in an hour
only the highlighted ones plz:)
Answers
Answer:
15.
a) 9
b) (x + 3)(x + 3) or (x + 3) ^ 2
16.
a) 121
b) (x + 11)(x + 11) or (x + 11) ^ 2
17.
a) 81
b) (x + 9)(x + 9) or (x + 9) ^ 2
Multiply:
426
X373
A. 5.538
B. 158,898
C. 187,318
D. 306,678
Answers
Answer:
Its "B"
Step-by-step explanation:
Answer:
b) 158,898 is Answer .Step-by-step explanation:
[tex]\rm\Large\red{\underline{Required\:Solution:}}[/tex]
[tex] \implies 426 \times 373 \\ \bf = 158898[/tex]
Hence, 158,898 is AnswerWhat is the equation of the line that passes through the point (-7-1) and has slope of 1
Answers
Answer: y=-x+-8
Step-by-step explanation:
Proof is in the screenshot below
Answer:
19=b
Step-by-step explanation:
Hence the equation in the form y = mx + c can written as y = 1/7x + 33/7 which is the equation of the line with the slope of 1/7 passing through the point (2,5).
Breakfast at Denny's cost $8.63. You give a 15% tip. What is the total cost?
Answers
Answer:
9.92
Step-by-step explanation:
8.63 x 1.15=9.92