Answer:
Randy is 48 years old
Sandy is 12 years old
Todd is 27 years old
Step-by-step explanation:
Given
Represent their ages with the first letters of their names:
[tex]R + S + T = 87[/tex]
[tex]R = 4 * S[/tex]
[tex]T = 15 + S[/tex]
Required
Determine their individual ages
We'll solve the above equations using substitution method of simultaneous equations
Substitute 15 + S for T and 4 * S for R in [tex]R + S + T = 87[/tex]
This gives:
[tex]4 * S + S + 15 + S = 87[/tex]
[tex]4 S + S + 15 + S = 87[/tex]
Collect Like Terms
[tex]4 S + S + S = 87 - 15[/tex]
[tex]6S = 72[/tex]
Divide through by 6
[tex]S = 72/6[/tex]
[tex]S = 12[/tex]
This implies that Sandy is 12 years old
Substitute 12 for S in [tex]R = 4 * S[/tex] and [tex]T = 15 + S[/tex]
[tex]R = 4 * 12[/tex]
[tex]R = 48[/tex]
[tex]T = 15 + 12[/tex]
[tex]T = 27[/tex]
This implies that Randy is 48 years old and Todd is 27
Convert 2x + 37y = 18 to point-slope form.
Answer:
y = -2/37x + 18/37
Step-by-step explanation:
2x + 37y = 18
-2x -2x
37y = -2x + 18 (Divide 37 on both sides)
Y = -2/37x + 18/37
What is the value of the 5 in the number 2.005?
0.05
0.5
0.005
5
Answer:
0.005
Step-by-step explanation:
Answer:
.005
Step-by-step explanation:
PLEASE HELP!!! Find the slope of each side of the triangle.
9514 1404 393
Answer:
AB: -3BC: 2/3AC: -1/4Step-by-step explanation:
The slope of a given segment is the ratio rise/run. The "rise" is the number of vertical divisions between the points. The "run" is the number of horizontal divisions between the points. The "run" is positive left-to-right. The corresponding "rise" is positive up.
Here are the segment slopes (rise/run).
AB = -3/1 = -3
BC = 2/3
AC = -1/4
The image of point (-2,3) under translation T'is
(3,-1). What is the image of point (4,2) under the
same translation?
Answer:
Step-by-step explanation:
REF: 060309a
ANS:
(9,−2)
(x,y)-->(x+5,y-4)
Transformation involves changing the position of a point.
The image of the translation is (9,-2).
The point is given as:
[tex]\mathbf{A= (-2,3)}[/tex]
The image of the point is:
[tex]\mathbf{A'= (3,-1)}[/tex]
The translation rule is calculated as:
[tex]\mathbf{T = <x + 3--2,y-1-3>}[/tex]
[tex]\mathbf{T = <x + 5,y-4>}[/tex]
So, the image of (4,2) is:
[tex]\mathbf{Image = (4 + 5, 2 -4)}[/tex]
[tex]\mathbf{Image = (9, -2)}[/tex]
Hence, the image of the translation is (9,-2).
Read more about translation at:
https://brainly.com/question/12463306
Write an expression to represent:
The sum of ten and the quotient of a number 2 and 6.
Answer:
x=10+(2/6)
Step-by-step explanation:
Hope this helped!
Answer:
10 + 2/6
Step-by-step explanation:
A quotient is the answer to a division problem.
A sum refers to addition.
Would appreciate Brainlitest!
find the L.C.M of the following
a.3and7
b.4and5
Answer:
a. 21
b. 20
Step-by-step explanation:
a. 3 and 7 are prime numbers, so their LCM is their product, 21
b.
4 = 2^2
5 = 5
LCM = 2^2 * 5 = 20
Answer:
a. 21
b. 20
The Green Lawns Company uses the equation C=82.75a+56 to determine the amount to charge for mowing a city park, where a is the number of acres in the park and C is the cost in dollars. What is the significance of the number 82.75 in the equation?
Answer: The significance of the number 82.75 in the equation = amount charged per acre in the park.
Step-by-step explanation:
Given: The Green Lawns Company uses the equation C=82.75a+56 to determine the amount to charge for mowing a city park, where a is the number of acres in the park and C is the cost in dollars.
In linear equation y=mx+c, = rate of change of y with respect to x.
Here Coefficient of a = rate of change of C with respect to a.
i.e. Coefficient of a =amount charged per acre in the park.
Hence, The significance of the number 82.75 in the equation = amount charged per acre in the park.
PLEASE HELP
classify triangles
Answer:
I'm pretty sure its obtuse triangle
Provide three character traits that would make you a successful entrepreneur. Explain? I
Answer:
Creative, Motivated, and Passionate.
Step-by-step explanation:
The describe a successful entrepreneur because you have to be creative because being creative helps you become a better problem solver in all areas of your life and work. You have to be motivational because it allows us to change behavior, develop competencies, be creative, set goals, grow interests, make plans, develop talents, and boost engagement. You have to be passionate because being passionate is the energy that keeps us going, that keeps us filled with meaning, and happiness, and excitement, and anticipation.
Kellie can type 3 words in 1 minute
uwu I see a lot of problems,
1. She can only type 3 words per minute
2. She can only type 3 words per minute
here is a list of ingredients for making 12 rock cakes nihay wants to make 42 cakes does she have enough sugar to make 42rock cakes u must show your working
Step-by-step explanation:
So we know that for 12 rock cakes we need 225g flour and 75g sugar to get 42 rock cakes we need to multiply the number of ingredients by 3.5 (42/12 =3.5)
This gets us 787.5 g flour and 262.5 g sugar.
Show work:
[tex]42 \div 12 = 3.5[/tex]
[tex]225 \times 3.5 = 787.5[/tex]
[tex]75 \times 3.5 = 262.5 [/tex]
[tex]787.5 < 800[/tex]
[tex]262.5 < 300[/tex]
Nishat has enough flour and sugar to make 42 rock cakes.
Which of the following is the graph of the function shown above?
The given functions will be straight line graph as shown below
What are piecewise functionsPiecewise function are made of several functions on an xy-plane. According to the question, we are to plot the following piecewise functions.
The following functions are linear equation with a degree of 1. The given functions will be straight line graph as shown below;
Learn more on piecewise function here: https://brainly.com/question/27262465
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Julio says, "If you subtract 13 from my number and multiply the difference by -3, the result is -54 ." What is Julios's number?
Answer:Julios's number is 31
suppose: Julios's number is x
because Julio says, "If you subtract 13 from my number and multiply the difference by -3, the result is -54 "
=> we have: (x - 13).(-3) = -54
<=> x - 13 = (-54):(-3) = 18
<=> x = 18 + 13 = 31
<=> x = 31
Step-by-step explanation:
What is the measure of one exterior angle of this polygon?
answer:
36°
step by step explaination:
The regular, convex decagon is a subtle and elegant shape then with 10 exterior angles of 36° , 10 interior angles of 144°
The sum of three consecutive numbers is 123.
What is the smallest of the three numbers?
Answer:
The three numbers are 40, 41 and 42. So the answer would be 40
What is the value of X
Answer:
x=6
Step-by-step explanation:
1) you set 16x+9 equal to 105
2) then you solve! 16x+9=105 --> 16x=105-9 --> 16x=96 --> x=96/16 --> x=6
Solve.
2x + 3 = 2x - 3
Step-by-step explanation:
Respuesta:13
Answer:
It is incorrect :( :(
Step-by-step explanation:
2x + 3 = 2x - 3
or, 2x - 2x = -3-3
or, 0 = -6
The x coordinate for an ordered pair in the solution set of x+2y=11 is 3. find the y coordinate
Answer:
y=4
Step-by-step explanation:
solve for y. I have the work shown in the picture I attached.
What is the binary number for 22
Answer:
I believe it is 10110
Step-by-step explanation:
hope this helps
What is the slope and y-intercept of x/3= -y+2 and how?????
You help out at the bowling alley on weekends. One of the arcade games has a bin filled
with stuffed animals. A robotic arm randomly grabs a stuffed animal as a prize for the
player. You are in charge of filling the bin.
You are told that the probability of getting a stuffed giraffe today is 0.4. If there are 28
giraffes in the bin, what is the total number of stuffed animals in the bin?
Answer:
28/0.4,= 28/(2/5)=28*5/2=14*5=70, no need to use calculator
check 70*0.4=28
Step-by-step explanation:
The local traffic update is given on a radio channel every 12 minutes from 4:00 p.m. to 6:30 p.m. You turn the radio on at 4:16 p.m. How long will you wait for the local traffic update?
Answer:
8 minutes
Step-by-step explanation:
The next traffic update will be at 4:24 p.m. because 12 x 2 = 24. 24 - 16 = 8, so you have to wait for 8 minutes.
can someone please help me with this please and thank you
what is the value of x
Answer:
x=12
Step-by-step explanation:
substitute the number 12 with X
What transformations were applied to ABCD to obtain A'B'C'D?
Answer:
Rotate 90 degrees counterclockwise then translate 2 units up.
Step-by-step explanation:
I just took a quiz on a p e x and it was correct! :)
Answer:
roatae 90 degrees conter clockwise about the origin and then go to units up
Step-by-step explanation:
complete the table of values for y=x3+x2-6x
Answer:
y= x ^3 - 4x
Step-by-step explanation:
Regroup terms.
y=x^3 +2x−6x
Simplify x^3 +2x−6x to x^3 −4x.
AAAAANNNNNnnNNND the answer is
y= x^3 - 4x
IN GRAPH
geometry work find the value of b
Answer:
63
Step-by-step explanation:
I know I did it
Sarah works ar a shoe store. She earns a base salary of $1,500 per month, plus a 25% commission on the amount of shoe sales she makes druing the month. If Sarah's goal is to earn $2,000 a month, what is the amount of shoe sales that she must make in a month?
Answer:
Step-by-step explanation:
goal is 2,000 and she already makes 1,500
2,000-1,500 gives you the amount she needs to earn from shoe sales
she needs to earn 500 dollars with a 25% commision
25% can also be written as 25/100
for every $100 she makes, she gets $25 but she needs $500
100:25
we need the second number in the ratio to equal $500
500 divided by 25 is 20
20 x 100 : 25 x 20
2000: 500
ANOTHER WAY: 500 is 1/4 of 2000 and 1/4 is 25% so you could multiply the amount she needed by 4 to get your answer
1. The slope of the line below is 2. Write the equation of the line in point-slope form using the coordinates of the
labeled point.
Answer:
y=2x
Step-by-step explanation:
GIVING BRAINLIEST!!
Graph the solution of 2x + 3 <3.
Answer:
Open dot to the left. Dot on zero.
Step-by-step explanation:
Answer:
I hope this helps!