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
What is the solution to the equation above
Answer:
A = 3/4
Step-by-step explanation:
alternately could equal 0.75
Which hourly interval had the least rate of change?
Answer:
hour 3 to hour 4
Step-by-step explanation:
that is where the slope is the least steep
Plssss helpppp ASAPP
will mark BRAINLIEST!!!
Answer:
4th and 5th option
Step-by-step explanation:
you can easily add eqn 1 and 2 to get rid of the y term for 4th option and get rid of x term by addition as well for the 5th option
this is a topic on simultaneous equation. If you wish to explore more into this topic you can give me a follow on Instagram (learntionary) I'll be posting the notes for this topic and some other tips :)
Answer:
the last two
Step-by-step explanation:
trying this again not sure if it went through the first time
The picture is really blurry for me. I can't read it...
Horario is solving the equation -3/4 + 2/5 = 7/20x -1/2
Answer:
x = 3/7
Step-by-step explanation:
DUE 10:00 PM HELP ASAP. When Sarah left your house this morning her cell phone was 80% charged and then it started to lose 8% charge for each hour there after write an equation for B in terms of t representing the charge remaining in series battery as percentage t hours after Sara left her house
Answer:
b=80-8t
Step-by-step explanation:
"b" represents the charge remaining
"t" represents the number of hrs that have passed.
"80" is the reference we will be subtracting the hours from.
"8" is the percentage per hour we will be subtracting
therefore, the equation b=80-8t would solve for the remaining battery after "t" number of hours.
slope of points (-11,5), (-6,0)
Write an equation of the line in slope-intercept form that passes through ( -2, 5) and is parallel to y=4x.
A. Y=-2x+13
B. Y=4x-3
C. Y=-2x-3
D.y=4x+13
Choose the linear equation written in slope-intercept
form that matches each graph.
Answer:
D
Step-by-step explanation:
y-intercept or "b":
the line touches the y-axis at -4
slope:
the line rises 1, runs 1 every time
equation:
the y-intercept of -4 combined with the slope of 1/1 is the equivalent of
y=1x/1-4 OR in a more simplified format: D, y = x - 4
What value of makes the equation 0.25(10x-3)= 1.5(x+2) - 0.75 true?
A. x = 3
B. x= 4
C. x= 3.75
D. x= 4.25
Answer:
3.75
Step-by-step explanation:
2.5x-.75=1.5x+3
x=3.75
A circle is inscribed with 5 lines. The center of the circle is labeled point O. Four lines extend from point O. One connects to point W on the edge of the circle. The second line extends past the circle edge through point X on the edge. The third extends past the circle edge through point Z. The fourth extends past the circle edge through point Y. A line connects points W and X. The angle created by ray OX and ray OZ is angle . The two rays that create YOX are ray OX and ray . The center of the circle is point .
Answer:
XOZ
OY
O
Step-by-step explanation:
just took it on edge
What is the percent of change from 24 to 30?
A.
20% decrease
B.
25% decrease
C.
20% increase
D.
25% increase
Answer:
D
Step-by-step explanation:
24 X
---- = ---- than cross multiply and solve for X
30 100
Answer:
I am not sure I this one but The answer is efither B or D
Try going with the answer D if its not the answer its my fault. I am sorry if You get this wrong.
What kind of linear relationship can be represented using a table but not a function? Explain. (1 point)
O A horizontal line can be represented using a table but not a function because the slope is undefined
A vertical line can be represented using a table but not a function because the slope is undefined.
O A vertical line can be represented using a table but not a function because the slope is zero.
O A horizontal line can be represented using a table but not a function because the slope is zero
Answer:
The correct option is;
A vertical line can be represented using a table but not a function because the slope is undefined
Step-by-step explanation:
A function, f(x), representing a linear relationship can be presented as follows;
f(x) = m·x + c
Where;
m = The slope = Δy/Δx = (y₂ - y₁)/(x₂ - x₁)
c = The y-intercept
Whereby the line is a vertical line, x₂ = x₁ and x₂ - x₁ =
Therefore;
The slope of a vertical function, m = (y₂ - y₁)/(x₂ - x₁) = (y₂ - y₁)/0 = ∞ from which we have;
f(x) = ∞·x + c = ∞ which is undefined and the vertical line can only be represented using a table but not a function because the slope is undefined
A piece of string has been used to measure the circumference of a circle. Use a ruler to measure the diameter of the circle and the length of the string to the nearest 1/4 inch
Answer:
The circumference is expressed usingC=2πrStep-by-step explanation:
This problem is on the mensuration of flat shapes, a circle.
The length of the string corresponds to the circumference of the circle.
The lenght of the string can be calculated by using the expression for circumference, if after using the ruler to obtain the diameter "d"
upon measuring the diameter we can further obtain the radius "r"
The expression for the radius is r=d/2 (the radius is half the diameter)
C=2πr
where pi= 3.124 a constant term
Hence Circumference is the same as the length of the string
17) When filled to maximum capacity, a silo can hold about 4,000 cubic meters of corn. The radius of the silo is 8 meters. To the nearest meter, what is the approximate height (h) of the silo?
Answer: ion know i'm guessing 4
Step-by-step explanation: because it shows 8 at the top, so since it's full and it's 4,000 then that'll basically make 8 the 4000, so since 4 is half of 8 then we prolly have our answer right there
Answer: It would be 20
Step-by-step explanation: The formula for height would be h= v/pi r squared, just plug in the numbers
1
Robert climbed 775 steps in 12 minutes.
2
How many steps did he average per minute?
Answer:
64 and 1/3 steps
Step-by-step explanation:
Answer:
775 / 12 = 64.5833...
Step-by-step explanation:
Write a rule for the translation of ABC to A' B' C'
Answer:
(x-2,y-4)
Step-by-step explanation:
Here, we want to calculate the rule for the translation
From the question, we can see that the new image was just formed as a movement of the old image by some particular units
The x-axis was move sideways while the y-axis was moved further down
The number of units is thus;
Y from 12 to 8
A movement of -4
For the x-axis
we have a movement of two units toward the left
So the rule is;
(x,y) to (x-2, y-4)
Guillermo bought 5 bags of candy that cost $10 each. Each bag of candy came with 35 pieces of candy inside. How many total pieces of candy did Guillermo purchase?
Answer:
175
Step-by-step explanation:
multiply the number of pieces by the number of bags he bought
Answer:
175
Step-by-step explanation:
5x35=175
Multiply and simplify the following complex numbers:
(3 – 4i) · (–3+ 2i)
Answer:
The answer is -1 + 18
Determine the measures of angles C and D.
Answer:
c = 40 and d = 76
Step-by-step explanation:
this is going to take me a long time to explain but here we go
so you need to do 180 - 116 and get 64.
then create a equation that is like this 7y + 6 + 4y + 64 = 180
when you solve it you get y = 10
then plug in 10 in for y in 4y. and you get 40 for c
do the same for d and you will get 76
pls mark me brainleist because i didnt waster your time.
Bamboo Plant A is 1.2 meters tall and growing at a rate of 0.45 meter per day. Bamboo Plant B is 0.85 meter tall and growing 0.5 meter per day. After how many days will Plant B be taller than Plant A?
Answer:
7 days
Step-by-step explanation:
Bamboo plant A = 1.2 + 0.45d
Bamboo plant B = 0.85 + 0.5d
Where,
d = number of days
Equate the two growth
Bamboo plant A = Bamboo plant B
1.2 + 0.45d = 0.85 + 0.5d
Collect like terms
1.2 - 0.85 = 0.5d - 0.45d
0.35 = 0.05d
Divide both sides by 0.05
d = 0.35 / 0.05
d = 7 days
Plant B be taller than Plant A after 7 days
SINE COSINE and TANGENT ratios
(Type an integer or simplified fraction)
Answer:
17 / 8
Step-by-step explanation:
sec A = [tex]\frac{1}{cos A}[/tex]
cos A = [tex]\frac{40}{85}[/tex] = [tex]\frac{8}{17}[/tex] ⇒ sec A = [tex]\frac{17}{8}[/tex]
Some people advise that in very cold weather, you should keep the gas tank in your car more than half full. Irene's car had 6.4 gallons in the 14-gallon tank on the coldest day of the year. Irene filled the tank with gas that cost $3.90 per gallon. How much did Irene spend on gas?
Answer:
$24.96
Step-by-step explanation:
Total number of gallons irede had in his tank = 6.4gallons
Price per gallon is $3.90
To get the cost of 6.4gallons;
If 1 gallon = $3.90
6.4gallons = $x
Cross multiply
1 * x = 3.90 * 6.4
x = 24.96
Hence Irene spent $24.96 on gas
A sandwich is 5 1/2 feet long and divided into 1/2 foot pieces. How many pieces of sandwich are there?
Answer:
11
Step-by-step explanation:
Answer:
11 sandwich pieces
Step-by-step explanation:
Dennis is getting balloons for his grandfather's birthday party. He wants each balloon string to be 9 feet long. At the party store, string is sold by the yard. If Dennis wants to get 69 balloons, how many yards of string will he need?
Answer:
207
Step-by-step explanation:
9ft=3yrds
3x69=207
Evaluate -8 - 21.
-10
-16
16
10
Answer:
Evaluate -8 - 21.
-10
-16
16
10
Pls Help.!!
Find the areas of the following: A square with a width and height equal to 5 feet.
Answer:
A = 25 ft²
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASGeometry
A square has all equal sides and anglesArea of a Square: A = x²Step-by-step explanation:
Step 1: Define
x = 5 ft
Step 2: Find Area
Substitute in x: A = (5 ft)²Evaluate: A = 25 ft²PLEASE HELP WITH GEOMETRY
Answer:
acute triangle
Step-by-step explanation:If the square of the length of the longest side of a triangle is less than the sum of the squares of the lengths of the other two sides, then the triangle is an acute triangle.
You have 20 minutes to finish 10 math problems for homework. Write and solve an inequality that
represents how many minutes you can spend per problem.
HURRY PLEASE
Answer:
one min
Step-by-step explanation:
Answer: 2 minutes
20/10=2
Sophia writes at a constant rate of 6
pages per
2 hours.
Write an equation that relates p, the
number of pages Sophia writes, and h.
the time she spends writing them in
hours.
Answer:
p÷3=h
My logic:
if you want the p (pages) to directly relate to h then this eqation represents that what ever p is divided by 3 will give you h.
Hope this helped!