Answer: (71,19)
Step-by-step explanation:
x + y =90
x=14 + 3y or -1x +3y=-14
solve by elimination. 1x + 1y= 90
-1 +3y = -14 y=19
1x + 1(19)=90
x=71
Answer:
x + y = 90
x = 14 + 3y
The numbers are 71 and 19.
Step-by-step explanation:
Let the larger number be x.
Let the smaller number be y.
The sum of the numbers is 90.
x + y = 90
The larger number, x, is 14 more than 3 times the smaller number, y.
x = 14 + 3y
We have a system of two equations in two unknowns.
x + y = 90
x = 14 + 3y
Since the second equation is already solved for x, we will use the substitution method to solve the system of equations.
Substitute x in the first equation with 14 + 3y.
x + y = 90; x = 14 + 3y
14 + 3y + y = 90
Combine like terms on the left side.
4y + 14 = 90
Subtract 14 from both sides.
4y = 76
Divide both sides by 4.
y = 19
The smaller number is 19.
Now we substitute 19 for y in the first equation and solve for x.
x + y = 90; y = 19
x + 19 = 90
Subtract 19 from both sides.
x = 71
The larger number is 71.
Answer: The numbers are 71 and 19.
Assignment
Health Club Fees You are choosing between two health clubs Club A offers membership for a fee of $7 plus a monthly fee of $23. Club B offers membership for a
tee of $35 plus a monthly fee of $16. After how many months will the total cost of each health club be the same?
in month(s) the total cost of each health club will be the same
Answer: The solution is (4,99) which means for in 4 months the total cost of each health club will be the same.
Step-by-step explanation:
Club A can be represented by the equation y = 23x + 7 where x is the number of months and y is the cost.
Club B can be represented by the equation y = 16x + 35 where x is the number of months and y is the cost.
23x + 7 = 16x + 35 set the equation equal each other to solve for x
-7 -7
23x = 16x + 28
-16x -16x
7x= 28
x= 4 now we know the value of x is 4 so we will put it into the equation and solve for y
y= 16(4) + 35
y= 99
I need the answer thank you!
Answer:
B)
Step-by-step explanation:
Simplify the radical by breaking the radicand up into a product of known factors.
What is “rate of change”? Hint: it’s NOT “y=mx+b.” What term (begins with an S!) is it very closely related to?
Answer:
Standard Form
Step-by-step explanation:
Answer:
Rate of change refers to the change in one variable (i.e. independent variable) as a result of a change in another (i.e. dependant variable). A very common example is speed as it refers to the change in distance per a change in time. Graphically representing the relationship between two variables, the rate of change will be the gradient or slope of the graph.
A cube has an edge measuring 6 cm. Find its volume.
Answer:
216
Step-by-step explanation:
Hope this helps.
Answer:
Side of cube = 6 cm
Volume = side ^3 = 6^3 = 216 cm^2
what is the quotient of the equation Below in simplest form? State any restrictions on the variable
Answer:
A
Step-by-step explanation:
Factor the numerators/ denominators where possible, that is
[tex]\frac{-(x-5)}{(x+4)(x-1)}[/tex] ÷ [tex]\frac{(x-5)(x+3)}{(x+4)(x+1)}[/tex]
Leave the first fraction, change division to multiplication and turn the second fraction upside down.
= [tex]\frac{-(x-5)}{(x+4)(x-1)}[/tex] × [tex]\frac{(x+4)(x+1)}{(x-5)(x+3)}[/tex]
Cancel the factors (x - 5) and (x + 4) from numerator/denominator
= [tex]\frac{-1}{(x-1)}[/tex] × [tex]\frac{(x+1)}{(x+3)}[/tex]
= [tex]\frac{-(x+1)}{(x-1)(x+3)}[/tex] , x ≠ 1, x ≠ - 3
30 points
In two or more complete sentences, discuss the advantages and disadvantages of investing in a CD versus investing in a basic savings account.
Find the value of x in the figure. Enter the number ONLY!
Answer:
69
Step-by-step explanation:
What is the surface area of this figure?
Answer:
328
Step-by-step explanation:
Math question down below
Answer:
answer is A.
Step-by-step explanation:
divide price by amount of kg to see how much it cost per kg. Find the lowest answer by doing this to all answers. Don't forget to round to the nearest cent!
caroline bought 6 pieces of gold ribbon. each piece was 3/5 of a yard long. How many yards of ribbon did she buy in all?
Answer:
= 3 3/5 yards
Step-by-step explanation:
If 1 piece = 3/5 yard
What about 6 pieces = ?
= (6 x 3/5) ÷ 1
= 18/5 ÷ 1
= 18/5
= 3 3/5 yards
HELP
What is the longest line segment that can be drawn in a right rectangular prism that is 15cm long, 8 cm wide, and 7 cm talk
Answer:
=18.38cm
Step-by-step explanation:
The longest line segment in a right rectangular prism is the diagonal that connects two opposite vertices. On the first diagram attached, the green line segment connecting A and G is one such diagonals. The goal is to find the length of segment .
Look at the attached picture. The longest segment we can draw is AG (or any of its equivalent: BH, CE, DF). Let's focus on AG for example.
We can think of AG as the hypotenuse of triangle ACG. So, we need AC first. AC is itself the hypotenuse of triangle ABC,
so we have,
[tex]AC^2 = AB^2+BC^2=8^2+7^2=113[/tex]
Now we can resume where we stopped with triangle AGC, and we have
[tex]AG=\sqrt{AC^2+CG^2}=\sqrt{113+225}=\sqrt{338}[/tex]
=18.38cm
PLEASE!!!
A survey asks a random sample of 2500 adults in Ohio if they support an increase in the state sales tax from 5.25% to 5.50%, with the additional revenue going to education. Let X denote the number in the sample that say they support the increase. Suppose that 30% of all adults in Ohio support the increase.
9. The standard deviation of X is
a. 22.91.
b. 27.39.
c. 5255.
d. 750.
10. The probability that X is at least 800 is
a. less than 0.0001.
b. about 0.015.
c. 0.025.
d. 0.05.
Answer:
Step-by-step explanation:
a) Total number of people surveyed, n = 2500
Let X denote the number in the sample that say they support the increase. If 30% of all adults in Ohio support the increase, it means that the percentage of all adults in Ohio that did not support the increase is
100 - 30 = 70%
This is a binomial probability because there are only two possible outcomes. Therefore,
Probability of success, p = 30/100 = 0.3
Probability of failure, q = 1 - p = 1 - 0.3
q = 0.7
Standard deviation = √npq
Standard deviation = √(2500 × 0.3 × 0.7) = 22.91
b) The probability that x is at least 800 is expressed as
P(x ≥ 800)
We would determine the probability by using the binomial probability calculator. Therefore,
P(x ≥ 800) = 0.01577
b. about 0.015.
PLEASE HELP WILL MARK BRAINIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Question 3 (5 points)
Look at the frequency table. Using the Addition Rule P(A and B) = P(A) + P(B) – P(A and B), what is the probability someone being a man said dog? P(dog|man)
Answer:
28/50
Step-by-step explanation:
You look at the total amount of men there are, (50)
then amount of dog in the column of men, (28)
So (dog|man) = 28/50
ask questions if u need anything else
15)
Which expression is a PRODUCT?
A)
8(6+ 3)
B)
8
(6 + 3)
5(2) + 2(6 x 3)
D)
5(2 + 3) - 4(8 + 1)
Step-by-step explanation:
the answer is
A,72
B,739
D,-11
I'm in quite in a bit of a pickle... so, please? and I never forget to mark brainiest
The correct answer is a translation.
A rotation would change the direction, a reflection would change the direction, and a dilation would change the size.
I hope this helps :)
Answer:
translation
Step-by-step explanation:
solve for the value of each letter.
1. 6x + 10 = 28
2. -2m - 4 = 8
3. x + x + 2x = 48
4. 3y + 4 + 3y - 6 = 34
5. 9( w - 6 ) = 36
6. -5 ( t + 3 ) = -30
7. 5z + 2 = 3z - 10
8. 11 + 3x + x = 2x - 11
9. -5 ( n -1 ) = 7 ( n + 3 )
10.-3 (c - 4 ) -2c - 8 = 9 ( c + 2 ) + 1
Answer:
Step-by-step explanation:
1] 6x + 10 = 28 {subtract 10 from both sides}
6x + 10 -10 = 28 - 10
6x = 18 {Divide both sides by 6}
6x/6 = 18/6
x = 3
2] -2m - 4 = 8 {Add 4 to both side}
-2m - 4 + 4 = 8 + 4
-2m = 12 {Divide both sides by -2}
-2m/-2 = 12/-2
m = -6
3] x + x + 2x = 48 {add the like terms}
4x = 48 {divide both sides by 4}
4x/4 = 48/4
x = 12
4] 3y +4 +3y - 6 = 34 {add the like terms}
6y - 2 = 34 {Add 2 to both side}
6y - 2 + 2 = 34 +2
6y = 36 {divide both sides by 6}
6y/6 = 36/6
y = 6
5]9(w - 6) = 36 {divide both sides by 9}
[9(w - 6)]/9 = 36/9
w - 6 = 4 {Add 6 to both sides}
w - 6 + 6 = 4 + 6
w = 10
Answer:
w = 10
Step-by-step explanation:
You first mutlply like terms and then add it up
Read the lines from Langston Hughes's poem ", Too, Sing America."
Tomorrow,
I'll be at the table
When company comes.
The lines promoted social change in the United States in the first half of the twentieth century because they spoke about
Ob
equal rights for African Americans.
European Americans' views of African Americans.
parties hosted by European Americans.
African Americans working as servants.
Od
Answer:
Answer: D) equal rights for African Americans
Step-by-step explanation:
BRAINLIEST MARKED!! PLSS HELP ASAPP!! Plz show all work!!!
Answer:
551.7
Step-by-step explanation:
it is the square + the circle
15*25+πr²
375+π(15/2)²
375+π225/4
375+176.625=551.625
Answer:
E) 551.7 ft Squared
Step-by-step explanation:
First find the area of the rectangle. 15 x 25 = 375. Then remove the rectangle so your left with a circle with a diameter of 15. Find the area of the circle. Pi x R squared. Pi x 7.5 squared = 176.7 . Then add the areas together. 375 + 176.7 = 551.7
What is the inverse function of f(x) = 4x + 3?
Answer:
f(x)=(x-3)/4
Step-by-step explanation:
To find the inverse of a function, I like to flip the x and the y, and then try to isolate the y. In this case:
x=4y+3
x-3=4y
y=(x-3)/4
Hope this helps!
please help im having trouble with these problems
Answer:
B I think
Step-by-step explanation:
Solve the quadratic equation.
2x2 − 11x − 21 = 0
A) −
3
2
and 7
B)
3
2
and −7
C) −
2
3
and
1
7
D)
2
3
and −
1
7
Answer:
A) -3/2 and 7
Step-by-step explanation:
this equation factors to (2x+3)(x-7)
the goal is to solve for 0
if 2x+3=0 then x=-3/2
if x-7=0 then x=7
Model 4 + (-6) on the number line.
-4
-5
-6
--10-9
-8
3
- 2
1
--7
0
4
7
1
2
5
3
6
9
8
10
Answer:
The answer is -2
Step-by-step explanation:
start at 4 and go to the left six times
4+(-6)=4-6=-2
What is 3 1/2 times 2 4/5
Answer:
9 4/5
Step-by-step explanation:
You can rewrite them into decimal. It would be 3.5 times 2.8 and you get 9.8 or 9 4/5
Answer:
49 /5 = 9.8
Step-by-step explanation:
Can anyone help explain this to me lol-
-Determine if the given side lengths could be used to form a unique triangle, many different triangles, or no triangles.
7.4 cm, 8.1 cm, 9.8 cm
A.unique triangle
B.many different triangles
C.no triangles
Thanks to anyone who helps-
Answer:
Since you are given ALL three sides, then you will ALWAYS be able to make ONLY unique triangles. ^‿^
From the moment the first car started how many hours will it take the second car to catch up to the first
Answer:
HELP
Step-by-step explanation:
is this correct? it might be hard to read tho
what is the answer to -12= -2x-4x
Answer:
x = 2
Step-by-step explanation:
-12 = -2x - 4x
-12 = - 6x
x = -12/(-6) = 2
Answer:
Step-by-step explanation:
hi what is the answer
Answer:
A= 36π mm²
Step-by-step explanation:
Area of circle = πr² where radius= 6mm
A = π(6)²
A= 36π mm²
write an equation that represent the line. ASAP !!!!!! 40 POINTS + BRAINLIEST
Answer:
y = (3/2)x + 3
Step-by-step explanation:
slope is rise over run so 3 up and, 2 right
y-intercept is at (3,0)
What is the true solution to the logarithmic equation?
log2[log2 (4x)) - 1
x=-4
X-0
X-2
X=4
Answer:
x=4
Step-by-step explanation:
Answer:d
Step-by-step explanation: