"I am 3 times as old as Sue is," Frank said to Ann. "On the other hand, I am 15 years older than John while Sue is 1 year younger than John. How old am I?"
If J represents John's age, then which of the following equations could be used to solve the problem?
J + 15 = 3J - 1
J + 15 = 3(J - 1)
Answer:
J + 15 = 3(J - 1)
Step-by-step explanation:
I am 99% sure this is the right answer.
7x – 3y = 42
solve for x when y = 0
solve for y when x = 0
Step-by-step explanation:
y=0
7x-3*0=42
7x=42
x=42/7=6
x=0
7*0-3*y=42
-3y=42
y=-42/3=-14
Answer:
y=-14, x= 6
Step-by-step explanation:
A belt and a wallet cost $42.7 belts and 4 wallets cost $213 find the cost of each item
Answer:
A belt costs $15 and a wallet costs $27.
Step-by-step explanation:
Let's mark price of a belt with x and price of the wallet with y. That leaves is with a system of equations:
x + y = $42
7x + 4y = $213
The goal when solving this system is to get rid of one of the variables. We can do that by multiplying first equation with -4:
-4x - 4y = -168
7x + 4y = 213
Now, we simply add these two equations up:
-4x - 4y + 7x + 4y = -168 + 213
3x = 45
x = $15
Now, we plug in x into any of the two starting equations to find y:
x+y=42
15 + y = 42
y = $27
Given that polygon ABCD≅ polygon EFGH, identify the congruent corresponding part for CD¯¯¯¯¯.
Answer:
Create a single variable linear equation that has no solution. Solve the equation algebraically to prove that it does not have a solution.
Create a single variable linear equation that has one solution. Solve the equation algebraically to prove that there is one distinct solution for the equation.
Create a single variable linear equation that has infinitely many solutions. Solve the equation algebraically to prove that there is an infinite number of solutions for the equation
Step-by-step explanation:
Help please it’s due in a bit
Answer:
Options A, C and D are correct ones.
Step-by-step explanation:
Options A, C and D are correct.
The point P(x,y) lies in the terminal side of an angle theta= -60° in standard position. What are the signs of the values of x and y?
Answer:
Step-by-step explanation:
x is positive and y is negative
Answer:
(x,-y)
Step-by-step explanation:
You can buy 1 bunch of grapes for $2. How many can you buy with $18?
Answer:
9
Step-by-step explanation:
One spring, a group of students measured rainfall totals at their school. chart shows how many inches of rain the students measured each month. How many more inchés did it rain in May than in April? MONTH RAINFALL March April May 1.7 2.6 3.8
Answer:
1.2
Step-by-step explanation:
apex leaning and I don't know why they want me to write 20 characters long or something like that before posting this
What is the equation in point slope form for the line parallel to y=8x+8 that contains P(-4,5)?
Answer:
Equation: y-5=8(x+4)
Step-by-step explanation:
Point-slope form is y-y1=m(x-x1)
Since m=8, y1=5, and x1=-4, then we have y-5=8(x+4) as our final equation
The number 2200 is first increased by 30%. The value obtained is next decreased by 50%. Find the final number.
A plane flies at 350 mph in the direction N 40° E with a wind blowing at 40 mph in the direction S 70° E. What is the plane’s drift angle?
Answer:
The drift angle is approximately 7.65° towards the East from the plane's heading
Step-by-step explanation:
The speed of the plane = 350 mph
The direction in which the plane flies N 40° E = 50° counterclockwise from the eastern direction
The speed of the wind = 40 mph
The direction of the wind = S 70° E = 20° clockwise from the eastern direction
The component velocities of the plane are;
[tex]R_{Plane}[/tex] = (350 × cos 50)·i + (350 × sin 50)·j
[tex]R_{Wind}[/tex] = (40 + cos 20)·i - (40 × sin 40)·j
The resultant speed of the plane = [tex]R_{Plane}[/tex] + [tex]R_{Wind}[/tex] = 265.915·i +242.404·j
The direction the plane is heading = tan⁻¹(242.404/265.915) ≈ 42.35°
Therefore, the drift angle = Actual Angle - Direction of the plane = 50 - 42.35 ≈ 7.65° towards the East
Answer: A. 5.89
Step-by-step explanation:
edge2020
Please Help?!
A lab technician needs to determine whether cells in a test tube are prokaryotic or eukaryotic. The technician has several dyes she could use to stain the cells. Four of the dyes are described below. Which dye should she use to determine if the cells are prokaryotic or eukaryotic?
Answer:
nile blue should be the correct answer
Step-by-step explanation:
which of the following is NOT a root of x (x+3)(x-1)(2x+1)= 0
i. 0
ii. -3
iii. -1
iv. 1/2
A. i only B. iv only
C. i and ii only
D. iii and iv only
Answer:
The answer is A only i. (0)
Answer:
D
Step-by-step explanation:
Given
x(x + 3)(x - 1)(2x + 1) = 0
Equate each factor to zero and solve for x
x = 0
x + 3 = 0 ⇒ x = - 3
x - 1 = 0 ⇒ x = 1
2x + 1 = 0 ⇒ 2x = - 1 ⇒ x = - [tex]\frac{1}{2}[/tex]
Thus
x = 0, x = - 3, x = 1, x = - [tex]\frac{1}{2}[/tex] are the roots
Hence
111 x = - 1 and iv x = [tex]\frac{1}{2}[/tex] are NOT roots → D
Shaniya owns a company that rents cars called Car Go. The following bar graph summarizes the type of
vehicles rented last week.
Answer:
The probability of a van getting rented next is 25%.
Step-by-step explanation:
The graph is attachedProbability Formula:
number of favorable outcomes / the total number of outcomesGiven Information:
Number of cars sold : 8Number of vans sold : 5Number of trucks sold : 4Number of motorcycles sold : 3Calculations:
number of favorable outcomes = 5 (number of vans sold)total number of outcomes = 20 (8 + 5 + 4 + 3)number of favorable outcomes / the total number of outcomes5/20 = 1/4Probability of a van getting rented: 1/4 or 25%
the sum of two numbers is 16. their difference is 1. what is the product of the two numbers
Answer:
The product of the numbers is 63.75
Step-by-step explanation:
Let the numbers be x and y
x + y = 16
x -y = 1
Adding both together
2x = 17
x = 17/2
x = 8.5
Recall
x -y = 1
8.5 - y = 1
y = 8.5 - 1 = 7.5
Their product is xy
so we have 7.5 * 8.5 = 63.75
PLEASEEE HELPPP I NEED THIS TODAY!!
Answer:
you can look up these online it will give u the diagram and u can put it in on calculators I used to do that
A ≈ 452.39
Hope you get a good grade
Please help me
Mariah earns $32.75 per week working as a pet sitter. She worked as a pet sitter for 2 weeks. She previously saved $70.99 in allowance money. She spent $12.25 of her total earning to buy video games. Mariah put 1 over 4 of the remaining money in her savings account. Mariah used the following steps to find the total money she put in her savings account:
Step 1: [($32.75 ⋅ 2) + $70.99 − $12.25] ⋅ 1 over 4
Step 2: [$65.5 + $70.99 − $12.25] ⋅ 1 over 4
Step 3: $136.49 − $3.0625 = $133.4275
In which step did Mariah first make an error? Explain, using words, how Mariah can correct her error.
Answer:
1) Step 3: S = $136.49 - $3.0625 × 1/4
2) By completing the operations within the parenthesis in Step 2, before multiplying the result by 1/4
Step-by-step explanation:
1) From the given information, we have;
The amount amount Maria earns as a pet sitter = $32.75
The number of weeks Maria worked as a pet sitter = 2 weeks
The amount Mariah previously saved = $70.99
The amount Maria spent = $12.25
The amount Mariah put in her savings account = 1/4 of the remaining (balance) money
Therefore, we have;
The amount placed in Mariah's savings account, S, is given as follows;
Step 1: S = [($32.75 × 2) + $70.99 - $12.25] × 1/4
Step 2: S = [($65.5 × 2) + $70.99 - $12.25] × 1/4
Step 3: S = [($136.49) - $12.25] × 1/4
Step 4: S = $124.24 × 1/4
Step 5: S = $31.06
The amount Mariah puts in her saving's account = $31.06 and the step Mariah first makes an error is Step 3 where what she put down was as follows;
Step 3: S = $136.49 - $3.0625 × 1/4
2) She can correct the error by completing the calculation of the operation within the parenthesis in Step 2, before multiplying by the factor 1/4.
What is the solution to this equation
-4x + 2 = 26
Answer:
x=-6
Step-by-step explanation:
Move all terms that don't contain x to the right and solve using the elimination process.
Which is the value of this expression when a = 5 and k=-2?
*
32a-2
75
9
* 25
25
9
75
Answer: it’s A
Step-by-step explanation: I got it right, hope it helps ✨
The value of the expression [tex](\frac{3^{2}a^{-2} }{3a^{-1} } )^{k}[/tex] when a = 5 and k = -2 is [tex]\frac{25}{9}[/tex]
How to substitute and get the value of an expression?The expression is as follows:
[tex](\frac{3^{2}a^{-2} }{3a^{-1} } )^{k}[/tex]
using law of indices
Hence,
when a = 5, k = -2
[tex](\frac{3^{2}a^{-2} }{3a^{-1} } )^{k} = (\frac{9(5^{-2} )}{3(5^{-1} )})^{-2}[/tex]
Then,
[tex](\frac{9(5^{-2} )}{3(5^{-1} )})^{-2}=(\frac{\frac{9}{25} }{\frac{3}{5} } )^{-2}[/tex]
[tex](\frac{\frac{9}{25} }{\frac{3}{5} } )^{-2}=(\frac{9}{25} (\frac{5}{3}))^{-2}[/tex]
[tex](\frac{9}{25} (\frac{5}{3}))^{-2}=(\frac{3}{5})^{-2}[/tex]
[tex](\frac{3}{5})^{-2}=\frac{25}{9}[/tex]
Therefore, the value of the expression is 25 / 9
learn more on expression here:https://brainly.com/question/12879207
#SPJ5
1.)24:56=X:46
A. 18
B. 28
C. 14
D. 24
2.)10:32=25:X
A. 70
B. 80
C. 60
D. 50
3.)18:6=X:11
A. 66
B. 55
C. 22
D. 33
4.)13:169=X:26
A. 10
B. 8
C. 4
D. 2
5.)18:81=22:X
A. 66
B. 55
C. 22
D. 33
6.)X:21=8:12
A. 16
B. 14
C. 21
D. 12
7.)7:X=6:36
A. 22
B. 42
C. 44
D. 20
8.)110:X=45:9
A. 22
B. 42
C. 44
D. 20
9.) 52:12=X:48
A. 208
B. 200
C. 100
D. 108
10.)6:12=17:X
A. 34
B. 33
C. 23
D. 24
Answer:
what's the question???/
Step-by-step explanation:
From the information given, can you prove that the triangles congruent using SAS congruent postulate? If not, what do you need to know to make the triangle congruent using the SAS congruence postulate?
Answer:
D.
Step-by-step explanation:
to prove congruency of two triangles, you need two congruent sides and one congruent angle
in this case we are given exactly that, 2 sides and one angle that is congruent
we would also need to make sure that the given sides and angles are actually congruent, and not mismatched
we can do this by looking at the positions of the letters in each congruency statement
for example, the letters LO and MA are the first two letters in each triangle's name, this means that they are congruent and properly matched
if you do this with every statement that you are give, you can see that the triangles can be proven by SAS
3 mi
4 mi
What is the length of the hypotenuse?
miles
Submit
please help and thank you!
Answer:
Its d i took the class
Step-by-step explanation:
so its 1 am for me and I'm doing school work cause I over slept and fell 2 days behind is this anybody else
Answer:
me!
Step-by-step explanation:
Write the equation of the line fully simplified slope-intercept form
Answer:
y=mx+b
Step-by-step explanation:
Answer:
y = (5/2)x - 5
Step-by-step explanation:
SLOPE:
The slope is rise over run, and in this case (thanks to the graph), we can do the [difference of y] / [difference of x] pretty easily. This is 5 / 2
Y-INTERCEPT:
Y-intercept is simple: where the line touches the y-axis. This happens at y = -5.
Therefore, the equation y = (5/2)x - 5
help please! Thanks!
Answer:
2/3
Step-by-step explanation:
the equation is [tex]\frac{\frac{1}{y}}{\frac{1}{x}}[/tex], and when the values of x and y are substituted in, you get the fraction 1/3 over the fraction 1/2. when simplified, this is 2/3.
2 rectas se cortan formando 4 ángulos iguales ¿cuanto mide cada uno?
Answer:
Cada ángulo igual es recto, es decir, mide 90°
Step-by-step explanation:
Intersección de dos rectas
Cuando dos rectas no paralelas se intersectan, forman en el punto de corte 4 ángulos iguales de a pares, es decir, dos pares de ángulos congruentes.
La suma de todos los ángulos formados es invariablemente 360°.
En general, siendo a y b dos ángulos adyacentes formados por el cruce, se cumple que:
a + b = 180°
Y la suma de todos los ángulos es el doble de lo anterior:
2a + 2b = 360°
Si todos los ángulos son iguales, a=b, entonces:
4a = 360°
a = 90°
Cada ángulo igual es recto, es decir, mide 90°
what is the answer
Answer:
-5,5
Step-by-step explanation:
Which trigonometric identity is given by the formula adjacent side/opposite side?
A. tan
B. cot
C. sin
D. cos
Answer:
cot= adjacent side/opposite side
Option B is correct.
Step-by-step explanation:
We need to identify trigonometric identity which is given by the formula adjacent side/opposite side
The trigonometric identity for tan is
tan= opposite side/adjacent side
But We are given adjacent side/opposite side
Since cot is inverse of tan so, formula of cot is:
cot= adjacent side/opposite side
Option B is correct.
There are 2 girls for every 5 boys at baseball game. If there are 56 total in attendance. How many girls and boys are there?
Answer:
girls: 16
boys: 40
Step-by-step explanation:
girls : boys
2 : 5
let the total number of people be (2+5)x.
2x + 5x = 56
7x = 56
x = 8
therefore, no. of girls = 2 x 8 = 16
no. of boys = 5 x 8 = 40
This is a question on ratio and proportions + forming and solving equations. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)