-4y + 12 = 36
-4y = 24
y = - 6
Answer:
y = -6
Step-by-step explanation:
To solve for y, you must isolate the variable by first dividing both sides by -4:
-4 (y-3) = 36
÷-4
y-3 = -9
Next, add 3 to both sides and you will get your final answer:
y-3 = -9
+3
y = -6
To check your answer, you can plug in -6 for y to ensure that the overall result is 36:
-4(-6-3) = -4(-9) = 36
36 = 36
Hope this helped!
The ratio of men to women working for a company is 5 to 6. If there are 198 employees total, how many women work for the company?
Answer: 110 Women !
Step-by-step explanation:
Call their numbers 4x to 5x.
Since there are a total of 198 people,
4x + 5x = 198
9x = 198
x = 22
so that there are
88 men and 110 women.
Darius and Khadija are learning to play chess. Darius's ratio of wins to losses is 5 to 13. Khadija's ratio of wins to losses is 3 to 9. Who has the better winning record?
Answer:
Darius
Step-by-step explanation:
Darius has played a total of 18 games so divide that by the five wins and you can see how many wins he would get on average wich is 0.28. Khadija won 3 out of 12 games so he/she has 0.25 average
Jenny and Laura share £30 in the ratio of 3:2 work out how much money jenny gets
Answer:
Jenny gets €18.
Step-by-step explanation:
Jenny gets 3 of every Laura's 2. First you add together both numbers in the ratio. 3+2=5. Then you divide the constant, 30, by the sum, 5. 30/5=6. Then you multiply each number of the ratio by the quotient. 3 x 6=18.
Given the graph below, the equation in slope-intercept form is
Answer:
F(x)=-1x-5
Step-by-step explanation:
The line goes one down for every one to the right. and the line intersects at -5 on the y-axis.
The slope of a line is -1/5, and the y-intercept is 5. What is the equation of the line written in general form?
x - 5y - 5 = 0
x - 5y - 25 = 0
x + 5y - 25 = 0
Answer:
x + 5y - 25 = 0
Step-by-step explanation:
Equation of line in slope intercept form is given as:
[tex]y = mx + b \\ \\ plug \: m = - \frac{1}{5} \: \: and \: \: b = 5 \\ \\ y = - \frac{1}{5} x + 5 \\ \\ 5y = - x + 25 \\ \\ x + 5y - 25 = 0[/tex]
Answer:
x + 5y - 25 = 0
1. What do you remember about the slope of a line? 2. A ramp may not be steeper than 1:12. Draw a right triangle whose "rise" is 1 unit, and whose "run" is 12 units. 3. Set up a trig ratio and use it to solve for the maximum angle of elevation of the ramp. Round to the nearest hundred 4. The height of the door on your restaurant is 9.5 inches from the ground. Using the maximum angle of elevation possi what would the length of the ramp be (x)? What would the horizontal distance be (y)
I remember every thing it was so good j set ramp
If r varies directly as t andr= -20 when t = 4, find r when t= -6.
Answer:
Step-by-step explanation:
t r = k/t Where k = constant of proportionality 132 = k/4 k = 4 x 132 k = 528 Formula r = 528/t Using formula r = 528/32 r = 16.5 Hope this helps :-) ...
The value of r should be considered as the 16.5 at the time when t = 4.
Calculation of the value of r:Since we know that
t r = k/t
here k = constant of proportionality
So,
132 = k/4
k = 4 x 132
k = 528
Now
r = 528/t
r = 528/32
r = 16.5
hence, The value of r should be considered as the 16.5 at the time when t = 4.
Learn more about radius here: https://brainly.com/question/3708862
Jerry bought 72 sticks of gum. There are 8 sticks of gum in a package. Draw a table using the guess, check and revise strategy to solve the equation 8 times p = 72. 8p=7
Answer: Make a chart that has 2 rows of 10 boxes each and copy this info below.
Step-by-step explanation: Good luck! :D
Packages - Sticks of gum
1 - 8
2 - 16
3 - 24
4 - 32
5 - 40
6 - 48
7 - 56
8 - 64
9 - 72
What is the name for a percent that is given or paid in addition to a service?
A. Sales tax
B. Tip
C. Markup
D. Discount
Answer:
its B
Step-by-step explanation:
Pleaseee I need help it’s a major grade
Answer: D.
Step-by-step explanation:
48/2.15= d, so 2.15d=48
Tayler's mom purchased a savings bond for Tyler. One year after it was purchased, the value of the savings bond was $156. If the value of the savings bond increases by 4% after one year, what was the value of the bond when Tyler's mom purchased it? Explain or show your reasoning.
Answer: The value of the bond when Tyler's mom purchased it = $150
Step-by-step explanation:
Let x= Purchasing price of the bond.
Given: Rate of increase in its value = 4% = 0.04
Value of bond after one year = x+ 4% of x
= x+0.04x
= 1.04x
One year after it was purchased, the value of the savings bond was $156.
[tex]\Rightarrow\ 1.04x = 156\\\\\Rightarrow\ x=\dfrac{156}{1.04}\\\\\Rightarrow\ x=150[/tex]
Hence, the value of the bond when Tyler's mom purchased it = $150
PLEASE HELP ME!!!!!
Max lost 23 pounds while on a diet. He now weighs 185 pounds. Write an equation that represents this scenario. Use the variable m . What does the variable represent?
Expression: Answer (as integer):
Interpretation:
Answer:
[tex]m-23=185[/tex], with [tex]m[/tex] representing Max's original weight
[tex]m=208[/tex]
Max weighed [tex]208[/tex] pounds before he went on his diet
Step-by-step explanation:
plz mark me brainliest. ;)
Please help.
Algebra.
Answer: The Answer is (A)
Step-by-step explanation: Have a brilliant day mate! - Lily ^-^
HELP URGENT
sorry for the quality
Can anyone help me with this please
what is 22
+ 60 is it 87 , 650 , or 82, or 67
Answer:
82
Step-by-step explanation:
vote brainiest plzz
One question, seventh grade question, please help! It’s not long!
Answer:
The Correct Answer Is 4
Step-by-step explanation:
So if you have $12 and you can buy $3 with each box of envelopes, you think, how many times can 3 go into 12
count in your head, 3 6 9 12 therefore, ITS 4
here is your equation to match this:
3 x ? = 12
You probably already know this, but i simple way to figure this out is to flip the equation to
12/3 = ?
so from here you can tell that 3 goes into 12 4 times
so the equation is
3 x 4 = 12
Hope It helps!
PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HELP
Maya exercises at least 50 minutes per day.
Use t to represent Maya's amount of exercise (in minutes per day).
Solve the equation
1/4y+9=1/2
Answer:
y = -34
Step-by-step explanation:
Step 1
1/4 y + 9 = 1/2
1/4 + 9 - 9 = 1/2 - 9
1/4 y = -17/2
Step 2
4 * (1/4 y) = 4* (-17/2)
y = -34
Hope this helps!!
PLEASE PLEASE PLEASE PLEASE HELP 3: I WILL TRY TO GIVE BRAIN LIEST IF IT ALLOWS ME
Answer:
Step-by-step explanation:
by the looks of it its saying what the difference was each time
Find the length of BC
Answer:
It would be 123
Step-by-step explanation:
The sum of the ages of two brothers is 37.7 years. The older brother is
7.9 years older than the younger brother. The line graphed on the
coordinate grid represents the first of two equations in a system of linear
equations that can be used to find their ages.
If the second equation is x+y=37.7 , which value is closest to x, the age of the older brother in years?
a. 8
b. 15
c. 23
d. 30
Answer: 15
Step-by-step explanation: because 7.5 is in the middle of 5 and 10 and it goes straight down to 15
pls tell me how to do it
Answer:
1) 35
2) 125
Step-by-step explanation:
1)
angle adc = x
x+ 90 + 20 = 180 (triangke sum property)\
x = 180 - 110 = 70
angle bdc = 70/ 2 = 35 ( the median cuts the angle into 2)
2) cbd = x = 125
x + c + bdc = 180
x + 35 + 20 = 180
x = 180 - 55 = 125
I hope im right!!!
A rectangles base is 2in. Shorter than twice its height. The rectangles area is 40in^2. Find it's dimensions.
Answer:
5 in by 8 in
Step-by-step explanation:
Given that :
Area, A of rectangle = 40 in²
Let
height = x
Base = 2x - 2
Area of rectangle = L * B
40 = x * (2x - 2)
40 = 2x² - 2x
2x² - 2x - 40 = 0
x² - x - 20 = 0
x² - 5x + 4x - 20 =0
x(x - 5) +4(x - 5) = 0
x - 5 = 0 or
x + 4 = 0
x = 5 or x = - 4
X cannot be negative
X = 5
Height = 5
Base = 2*5 - 2 = 8
Toby is trying to show his teacher why the product of two rational numbers is another
rational number. His first steps are shown. Which is the best method Toby could use to
proceed?
L
B
Using the concept of rational numbers, it is found that the best method Toby could use is a multiplication of fractions, as the product of two fractions(two rational numbers) is always a fraction(rational number).
-------------
A rational number, no matter if an integer, a finite decimal or a repeating decimal can always be represented by a fraction.The product of two fractions will always result in a fraction, as the numerator of the multiplication is the multiplication of the numerator of the factors, and same for the denominator.Thus, since the product of two fractions is always a fraction, the product of two rational numbers is always a rational number.A similar problem is given at https://brainly.com/question/10814303
what is the solution of the equation 4x + 12 = 48
Answer:
x =9
Step-by-step explanation:
48-12=36
4x=36
divide by 4
x=9
Answer: A) x=9
48-12=36.
36/4=9
More detailed explanation:
4x+12=48
-12 -12
4x = 36
/4 /4
x = 9
Step-by-step explanation:
subtract 12 from both sides , then divide both sides by 4
It took Mariel two hours to complete 13 pages in a workbook she completed 7 1/2 pages in the first hour how many pages does he complete in the second hour
B 5 1/2
Hope it helped!!!
I dont really understand this so can someone help me please!
ansswer plz i been stuck on this for 10 min help ??
9514 1404 393
Answer:
33 ft²
Step-by-step explanation:
Each triangle's area is given by the formula ...
A = (1/2)bh
A = (1/2)(3 ft)(4 ft) = 6 ft²
The square base area is given by ...
A = s²
A = (3 ft)² = 9 ft²
__
The total area of the pyramid is the area of the base plus the area of four triangular faces.
Total Area = (9 ft²) + 4(6 ft²) = (9 +24) ft²
Total Area = 33 ft²
Number 13 Find the measures of angles 1, 2, and 3.
Answer:
1. 37
2. 26
3. 26
Step-by-step explanation:
Subtracting 63 from 180, you find the linear pair, being 117 which helps find an angle in the lower triangle. The sum of all angles is 180, and to find 2, you subtract the known angles ( 180-(37+117)) which equals 26. Knowing the shape is a parallelogram, and the opposite sides are parallel, we can say 2 and 3 are congruent through the alternate interior angles theorem. 1 is found through applying the same theorem.