Answer:
James is 37, Rob is 44, and Kate is 35
Step-by-step explanation:
Set up an equation where x is James' age:
Rob's age can be represented by x + 7, since he is 7 years older than James
Kate's age can be represented by x - 2, since she is 2 years younger than James
Add these together in the equation and set it equal to 116:
(x + 7) + (x - 2) + (x) = 116
Add like terms and solve for x:
(x + 7) + (x - 2) + (x) = 116
3x + 5 = 116
3x = 111
x = 37
So, James is 37.
Find Rob's age by adding 7 to this:
37 + 7
= 44
Find Kate's age by subtracting 2:
37 - 2
= 35
So, James is 37, Rob is 44, and Kate is 35
Answer:
Rob = 44
Kate = 35
James = 37
Step-by-step explanation:
Rob = 44 which is 7 years older than James
Kate = 35 which is 2 years younger than James
James = 37
f(x) = x + 8; translation 5 units down
Answer:
Please check the graph diagram attached.
From the diagram,
The red line represents the parent function f(x) = x + 8The blue line represents the translated function f(x) = x + 3It is clear the parent function f(x) = x+8 has been translated down 5 units.
Step-by-step explanation:
The rule to determine the translating down 'b' units:
f(x) – b
It means if we have to translate a function f(x) 'b' units down, all we need is to subtract the 'b' units from the function output.
Given the function
f(x) = x + 8
In order to translate 5 units down, all we need is to subtract 5 units from the function.
i.e.
f(x) = x + 8 - 5
f(x) = x+3
Thus, we conclude that f(x) = x+3 is the translated function.
Please check the graph diagram attached.
From the diagram,
The red line represents the parent function f(x) = x + 8The blue line represents the translated function f(x) = x + 3It is clear the parent function f(x) = x+8 has been translated down 5 units.
4x-5+2r= -11
What is the value of x?
There are 3 red, 2 blue, and 1 yellow marbles in a bag. Once a marble is selected, it is not replaced. Determine the probability. P(red and then yellow)
Answer:
The probability of drawing a red is 50% blue is 1/3 or 33.33% yellow is 1/6 or 16.66
Step-by-step explanation:
does anyone know this please help
Answer:
It is the 3rd graph
Step-by-step explanation:
It is the only one that shows a porpotional relationship.
Answer:
sry mate.....
............
Convert 6 4/5 to an improper fraction.
Convert 5 3/4 to an improper fraction.
Solve: 3 1/3 ÷ 25/4
Solve: 14/3 ÷ 3 1/2
Solve 3 1/4 ÷ 5 1/2
What is the angle measurement of CBD?
A
U
68°
D
B
20°
229
Ο Ο Ο Ο
29ο
1
25°
24
A 20-question math test is worth 100 points.Multiple choice questions worth 4 points each.Bubble grid questions are worth 8 points each.How many of each type of question is on the test?
Answer:
There are 5 8-point questions and 15 4-point questions
Step-by-step explanation:
20.4= max points 80 limit of points = 100
20.8= max points 160
100:4= max 25 questions limit of questions = 20
100:8= max 12,5 question
5.8=40
15.4=60
There are 5 bubble grid questions and 15 multiple choice questions.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Let,
Multiple choice questions denoted by M
Bubble grid questions are denoted by B
A 20-question math test is worth 100 points.
M+B=20..(1)
Multiple choice questions worth 4 points each. Bubble grid questions are worth 8 points each.
4M+8B=100..(2)
From equation 1,
M=20-B
4(20-B)+8B=100
80-4B+8B=100
80+4B=100
Subtract 80 from both sides
4B=20
Divide both sides by 4
B=5
Now plug in B value in equation 1.
M+5=20
Subtract 5 from both sides
M=15
Hence, there are 5 bubble grid questions and 15 multiple choice questions.
To learn more on Equation:
https://brainly.com/question/10413253
#SPJ2
Help ASAP please. I’ll give you brainliest
Answer:
x= -83.4
830÷50= 16.6
17 coaches would be needed
£5,850
Answer:
x=1660
the value of 830÷50 is 16.6
it will take 5850 to hire 13 coaches
Which has the least value for 9? *
A. 1.95
B. 0.1039
C. 3.092
D. 2.009
Answer:
0.1039
Step-by-step explanation:
Obtain the place value of 9 in each value and choose the smallest :
1.95
9 is the first digit after the decimal point ; which is equal to 0.9 = tenth place
0.1039
9 is the 4th digit after the decimal point ; which is equal to 0.0009 = ten thousandth place
3.092
9 is the second digit after the decimal point ; which is equal to 0.09 = hundredth place
2.009
9 is the third digit after the decimal point ; which is equal to 0.009 = thousandth place
Hence the smallest value of 9 among the options given resides in 0.1039 (ten thousandth place).
PLEASE ANSWER ASAP FOR BRANLEST!!!!!!!!!!!!!!!
Solve the equation
b/4 +2 = -1
what is b?
why is it when you take a shower and you come out clean, how does the towel become dirty? This some real mathematics
okay. so, when you wash your hair, there is no way to get 100% of the shampoo/conditioner out of your hair, so the excess it rubbed onto the towel. Say you have no hair. The shower isn't germ-free, so even if you feel clean, the towel and yourself is still a harbor of germs, good and bad.
The width of a rectangle is 10 less than the length. If the perimeter is 80 yards, find the length and width.
Answer:
Width is 15, length is 25
Step-by-step explanation:
80=2(X+(X+10)
40=2x+10
30=2x
x=15
Width is 15, length is 25
what is the answer to 2(1-x)=11
Answer:
-9/2 in exact form but -4.5 in decimal form
Answer:
x=-4.5
Step-by-step explanation:
distribute
2(1-x) = 11
2-2x=11
combine like-terms
-2x = 9
isolate x and divide out the negative
-2x/-2 = 9/-2
x = -4.5
can someone please help me.
Answer:
Step-by-step explanation:
1. isosceles
2. right scalene
3. obtuse scalene
4. equilateral
5. right isosceles
6. acute scalene
7. equilateral
8. isosceles
Alex drove 372 miles on I-95 and used 12 gallons of gasoline. How many miles did Alex’s car travel per gallon of gasoline?
Answer:
372/12=31
31mpg
Step-by-step explanation:
Sun estimated the quotient of -23.514 and -3.98 by rounding each to the nearest integer. Which equation shows the correct estimation?
-23.514÷-3.98
O -24÷-4=6
O -24÷4=-6
O 24÷3=8
O 24÷-3=-8
Answer:
A
Step-by-step explanation:
because if you are rounding to the nearest integer that means that -23.514 would be -24 and -3.98 would be -4 and negative divided by a negative is a positive
Answer:
A
Step-by-step explanation:
Cumulative Exam 2021
Merry Christmas <3
P.S. Have a good winter break :)
Last week, Laura volunteered at the community clean-up event and earned 2 patches for her scout uniform. She spent 4 minutes sewing the patches onto her uniform. This week, Laura spent the week at the scout camp and earned another 6 patches.
If Laura sews at the same rate, how many minutes will she spend sewing her new patches onto her uniform?
Answer:
12
Step-by-step explanation:
let's say number of patches is x, and amount of time is y. the time per patch is k.
k * x = y
2 * k = 4
k = 2
2 * x = y
2 * 6 = 12
select the correct answer
Answer:
A
Step-by-step explanation:
If g is equal to 8, then we can rewrite the fraction as 8/2+3. We can simplify this to 8/5. That means A is correct.
W + 7 < 4 you don’t have to show work
Help plz:) photo attached
Answer:
y=5x+25
Step-by-step explanation:
Since the y intercept for the scatterplot is 25, that means that the only equation that matches the graph is y=5x+25
y=5(0)+25
y=0+25
y=25
1. Who pays more money in taxes?
1)The middle class.
2)The more money you make, the more you pay in taxes.
3)The less money you make, the more you pay in taxes.
4) The poor.
Answer:
the answer is 2
Step-by-step explanation:
Is 6x+3y=42 an infinite solution
nope, I got
x= −1/2y+7
I hope this answers ur question!
Answer:
No it is not. A good calculator for algebra is Symbolab
Place parentheses in the expression so that it equals the given value.
20 + 2 x 5 + 4^1
Value: 38
Write an algebraic expression for the phrase 6 times Z
Answer:
6z
Step-by-step explanation:
You spend $75 on a meal including tax and want to leave a tip that is 20% of the $75. What is the total cost, with the tip? The cost of your meal, with the tip, is $(answer)
Answer:
The total cost = $90
Step-by-step explanation:
As, $75 is the cost of the meal
And tip is 20%
So 20% of $75 = 15
So, the tip = $15
So, total = Cost of meal + tip
= $75 + $15 = $90
The depth (inches) of water that accumulates in the spring soil from melted snow can be determined by dividing the cumulative winter snowfall (inches) by 12. Determine the amount of winter snow that accumulates 6 inches of water in the soil.
a.
6 inches of snow
b.
84 inches of snow
c.
72 inches of snow
d.
12 inches of snow
Answer:
C
Step-by-step explanation:
its just 12 times 6
Answer:
c
Step-by-step explanation:
I took the test and got it right
Wich statement best explains the relationship between the numbers divisible by 6, 2, and 3? what's the answer?
Answer:
oh! I once had this, the answer is a number that is divisible by 6 is also divisible by 2 and 3 because 2 and 3 are factors of 6.
Katie's deli can make 60 sandwiches in 4 hours. Stacy's can make double that in the same amount of time. How many sandwiches can Stacy's deli make in 6 hours
Answer:
Step-by-step explanation:
Answer: 150 sandwhiches
Step-by-step explanation: 60 sandwhiches in 4 hours. 15 sandwhiches per hour so you add 30 to the doulbe of 60 which is 120 then you add 30
What is 31/32 ÷ 31/32
Answer:
9.765625×10−4
Step-by-step explanation:
What is an equation of the line that passes through the points (3, 0) and (6, -1)
Answer:
(Note: This is assuming that the answer can be in any format.)
[tex]y - 0 = -\frac{1}{3} (x - 3)[/tex]
Step-by-step explanation:
When given at least two points, you can find write an equation using the point-slope formula: [tex]y - y_1 = m (x - x_1)[/tex]. The [tex]x_1[/tex] and [tex]y_1[/tex] are the x and y values from one point that need to be substituted in to make an equation, as well as the [tex]m[/tex] which represents the slope.
Find the slope by using the slope formula [tex]\frac{y_2 - y_1}{x_2 - x_1}[/tex] and the two points given:
[tex]\frac{-1-0}{6-3}[/tex]
[tex]\frac{-1}{3}[/tex]
So, the slope is [tex]-\frac{1}{3}[/tex].
Next, choose a point (in this case, I chose (3,0)) and substitute its x and y values into [tex]x_1[/tex] and [tex]y_1[/tex] respectively, and also substitute [tex]-\frac{1}{3}[/tex] for m. This forms an equation of a line in point-slope formula:
[tex]y - 0 = -\frac{1}{3} (x - 3)[/tex]
