Jacob’s age is two years more than the sum of the ages of his siblings Becky and Micah. Which equation represents Jacob’s age?
A. z = x + y − 2; x represents Micah's age, y represents Becky's age, and z represents Jacob's age
B. x = y + z + 2; x represents Jacob's age, y represents Micah's age, and z represents Becky's age
C. x = 2 + y + z; x represents Becky's age, y represents Jacob's age, and z represents Micah's age
D. y = x + z − 2; x represents Jacob's age, y represents Becky's age, and z represents Micah's ag
Answer:
B.
Step-by-step explanation:
Hi! Here is the explanation!
When reading this question you need to make sure you know that sum and more than are words that can help to create equations. Jacob is 2 years older than becky and michas ages combined.
The equation would be:
y= 2+ (Becky's age+Micha's age)
I hope this helped!
Find the distance between points P(9, 5) and Q(2, 7) to the nearest tenth
Answer: 7.3
Step-by-step explanation:
To find the distance between these two points, find the difference in the x and y values then square them and add them then finally find the square root of that added number obtained.
5 - 7 = -2
9 - 2 = -7
-2^2 + -7^2 = d^2 where d is the distance
4 + 49 = d^2
53 = d^2
d = [tex]\sqrt{53}[/tex]
d= 7.2801 rounded to the nearest tenth is 7.3
T is the midpoint of PQ. PT=3x+8 and TQ = 5x-8. What is PT?
Answer:
PT = 32
Step-by-step explanation:
From the question, we are told that:
T is the midpoint of PQ
This means:
PT = TQ
PT=3x+8 and TQ = 5x-8
Step 1
We solve for x
3x + 8 = 5x - 8
Collect like terms
8 + 8 = 5x - 3x
16 = 2x
x = 16/2
x = 8
Step 2
We can solve for PT now
PT=3x+8
x = 8
PT = 3×8 + 8
PT = 24 + 8
PT = 32
Therefore, PT = 32
Justin made a scale drawing of a city. The scale he used was 5 inches : 2 yards. A neighborhood park is 175 inches in the drawing. How wide is the actual park?
Answer:
68.8 yards
Step-by-step explanation:
We can do justice to this question using proportion,
Proportion in mathematics means that two ratios are equal it can be expressed as w/x = y/z
Let us denote the field on map as Z
Then we can say
5 inches on the map/ 2 yards in the park = 175inches/ X yards
If we cross multiply
5(Z )= 172 × 2
5(Z ) = 344
Make Z subject of the formula
Z= 344/5
Z= 68.8 yards
Hence the the actual park is 68.8 yards
If 58 out of 100 students in a school are boys. Write decimal expression for the part of the school that consists of boys.
Answer:
0.58
Step-by-step explanation:
58/100 = 0.58
Since hundred has two zeros, it moves forward twice and hence the decimal point ends in front of the 5 making is 0.58
match with the appropiate property:
Answer:
inverse property of multiplicationStep-by-step explanation:
(5)(1/5)=1
Answer: inverse property of multiplication
Step-by-step explanation:
You need to know about the idea of reciprocal numbers. Reciprocal numbers are numbers that multiplied together to get 1 which is also called inverse. This means one number will be itself, and it's reciprocal will be the denominator of a fraction that has 1 as the numerator
If you come across question like [the reciprocal of a] = 1/aSince 1/5 is the reciprocal of 5, and they are multiplied together to get 1. This will be the inverse property of multiplication.
a rectangle with sides of length n+2 and n is compared to a square with sides of length n+1, are the two shape equal in perimeter?
Answer:
YES
Step-by-step explanation:
Rectangle: (n)+(n)+(n+2)+(n+2)=4n+4
Square: (n+1)+(n+1)+(n+1)+(n+1)=4n+4
4n+4=4n+4
Yes, they are equal in perimeter.
Answer:
they have equal perimeter.
Step-by-step explanation:
perimeter :-
.Rectangle=2(n+2+n)=2(2n+2)=4(n+1)
Square=4(n+1)
He Cost Saver Grocery Club sells sheet cakes. Each 14 sheet of cake requires 0.75 teaspoon of baking soda. Which expressions can be used to find the amount of baking soda needed for a whole cake? Select all the expressions that appl
Answer:
y = 4(0.75) or y = 3
Step-by-step explanation:
The question is incomplete. Here is the complete question:
The cost saver grocery club sells sheet cakes. Each 1/4 sheet of cake requires 0.75 teaspoon of baking soda. Which expression can be used to find the amount of baking soda needed for a whole cake? Select all the expressions that apply.
Let the amount baking soda required for a whole cake be y.
If each 1/4 sheet of cake requires 0.75 teaspoon of baking soda, the expression that can be used to find the amount of baking soda needed for a whole is as shown below;
1/4 sheet of cake = 0.75 teaspoon of soda
1 sheet of cake = y teaspoon of soda
cross multiply
1/4 * y = 1 * 0.75
y/4 = 0.75
multiply both sides by 4
y/4 * 4 = 0.75 * 4
y = 4(0.75)
y = 3 teaspoon of baking soda
Write an English phrase that would translate into the following mathematical expression.
8(2-6)
Which of the following is equivalent to the expression 8(z - 6)??
Answer:
B. 8 times the difference of a number z and 6
Step-by-step explanation:
Order of Operations: BPEMDAS
Step 1: Translate (z - 6)
z = a number z
- = difference
6 = six
(z - 6) = The difference between a number z and 6
Step 2: Translate 8(z - 6)
(z - 6) = The difference between a number z and 6
Since we are distributing the 8, we are multiplying.
8 times the difference of a number z and 6
Mr. Smith paid $232,300 for his home and $33,560 for his car. Mr. Lewton paid a total of $282,106 for his home and car combined. How much more money did Mr. Lewton pay than Mr. Smith for a home and car?
3 thousandths + 2 hundredths is greater, less than or equal to 0.023
Answer:
Equal to
Step-by-step explanation:
I hope this helped
3 thousandths: 0.003
2 hundreths: 0.02
0.003+0.02= 0.023
Which defines a circle geometry
Answer:
a circle is the locus of all points equidistant from a central point
Solve for n.
d=5m +9n
Answer: n= [tex]\frac{d}{9} - \frac{5m}{9}[/tex]
Step-by-step explanation:
d= 5m + 9n try to get 9n alone by subtracting 5m from both sides
d -5m = 9n Now divide both sides by 9 to get n alone
n = [tex]\frac{d}{9} - \frac{5m}{9}[/tex]
You are most likely to encounter an irrational numbers when you’re
Answer:
Taking square-root of numbers
Step-by-step explanation:
The reason is that the square-root of most numbers is an irrational number because the answer we have can not be written as p/q form. For example, if we take the example of √2 then the answer we have is "1.4142135623730950..." which can not be written in p/q form. Hence taking square-root of numbers will most likely give an irrational number.
Answer:
Finding the area of a circle
Step-by-step explanation:
A Tourist Information Center is between a Bus Station and a Train Station. When mapped on a grid, the Tourist Information Center is
located at (11,0) and the Bus Station is located at (-1,-10).
The Train Station is located at point
х=
Y=
Given :
The Tourist Information Center is located at (11,0) and the Bus Station is located at (-1,-10).
Also , Tourist Information Center is between a Bus Station and a Train Station.
To Find :
The point of location of train station .
Solution :
Let , point of location of train station is ( x,y ).
We know , mid-point of two points ( a, b) and ( c, d ) is given by :
[tex](\dfrac{a+c}{2},\dfrac{b+d}{2})[/tex] .
Since , Tourist Information Center is between a Bus Station and a Train Station.
So , it is given by :
[tex]( 11 , 0 ) = (\dfrac{-1+x}{2},\dfrac{-10+y}{2})[/tex]
Comparing both coordinate :
[tex]\dfrac{x-1}{2}=11\\\\x=22+1\\\\x=23[/tex]
and
[tex]\dfrac{y-10}{2}=0\\\\y=10[/tex]
Therefore , Train Station is located at point ( 23 , 10 ) .
Hence , this is the required solution .
Write the steps to "undo" the equation to solve for x and then give the value of x that
solves the equation.
2 = (x - 4)^3
X = ?
Answer:
[tex]x=\sqrt[3]{2}+4[/tex]
Step-by-step explanation:
To "undo" this equation, we need to solve for x.
We begin with the equation
[tex]2=(x-4)^3[/tex]
To remove the cube, we need to take the cubic root of both sides
[tex]\sqrt[3]{2} =\sqrt[3]{(x-4)^3} \\\\\sqrt[3]{2} =x-4[/tex]
And the last step to solve for x will be to add 4 to each side
[tex]\sqrt[3]{2} +4=x-4+4\\\\\sqrt[3]{2} +4=x[/tex]
And there is our value for x
help please!!!!!!!!!!!!!!!!!!!!!!
Answer:
110,000
Step-by-step explanation:
since it covered 11,000 square miles at a rate of 0.10 miles per hour
11,000 /0.10=110000
Negative 2 divided by 9
Answer:
-0.22222222222222
Step-by-step explanation:
hope this helps
The daily high temperatures, in degrees Celsius, for two weeks were recorded. The first week had a mean high temperature of 8 degrees Celsius and a mean absolute deviation (MAD) of 1 degree Celsius. Here is a list of the high temperatures, in degrees Celsius, for the second week. 5 9 7 0 3 5 5
Answer:
mean is 4.86
mean absolute deviation is 4.86
Step-by-step explanation:
Sean is a bookworm. On average, he reads 1 1/2 pages in 3 1/3 minutes.
Sean's average unit rate for reading is
pages per minute.
Answer:
9/20 pages/minute = .45 pages/min
Step-by-step explanation:
3/2 pages / 10/3 minutes = 3/2 x 3/10 = 9/20 pages per minute or .45 pages/min
3.5 m
What is the approximate circumference of the swimming pool? Use 3.14 as an estimate for ti.
Answer:
This question seems to be incomplete, I guess that we have a circular pool, with a diameter of 3.5 m.
Now, the circunference of a circle can be written as:
C = 2*pi*r
where:
pi = 3.14
r = radius = half of the diameter = 3.5m/2 = 1.75m
Then replacing those values in the equation for the circumference we have:
C = 2*3.14*1.75m = 10.99 m.
And knowing that the value of pi is actually larger than 3.14 (pi = 3.1415926535....)
We can safely round up the circumference to the next whole number, C = 11m
Answer:
11
Step-by-step explanation:
I took map test
Which phrase matches the algebraic expression below?
3(x + 7) + 10
Three times the sum of x and seven plus ten
Three times x plus the sum of seven and ten
Three times x minus seven plus ten
Three times the difference of x and seven plus ten
Answer:
Three times the sum of x and seven plus ten
Step-by-step explanation:
Three times= 3(times)
the sum of x and seven= x+7
plus 10= +10
which is the function represented below
Answer:
f(x)= x + 5
Step-by-step explanation:
The easiest way to find this is by plugging the values for x and f(x) into each equation until you find one where all number fit.
is 333/106 rational?
Answer:
No
Step-by-step explanation:
333/106 is actually an irrational number, because it can not be written as a simple fraction.
Answer: Yes it is rational
Any rational number is of the form p/q where p, q are integers. The value of q cannot be 0.
In this case, p = 333 and q = 106.
two numbers are in a ratio 2:3 and their sum is 35.find the numbers
Answer:
14 and 21 is the answer
Step-by-step explanation:
Hope it is helpful for you
please follow me
and mark me as a brainest
Answer:
[tex] \boxed{ \boxed{ \huge{ \boxed{ \sf{ \: 14 \: and \: 21}}}}}[/tex]
Step-by-step explanation:
Let the numbers be 2x and 3x
Let's create an equation
[tex] \sf{2x + 3x = 35}[/tex]
Solve for x.
Collect like terms
[tex] \dashrightarrow{ \sf{5x = 35}}[/tex]
Divide both side by 5
[tex] \dashrightarrow{ \sf{ \frac{5x}{5} = \frac{35}{5} }}[/tex]
Calculate
[tex] \dashrightarrow{ \sf{x = 7}}[/tex]
The value of x is 7.
Now, replacing the value of x in order to find the two numbers :
[tex] \dashrightarrow{ \sf{2x = 2 \times 7 = 14}}[/tex]
[tex] \dashrightarrow{ \sf{3x = 3 \times 7 = 21}}[/tex]
The numbers are : 14 and 21
Hope I helped!
Best regards! :D
Use the circle below to answer the following question.
What is the name for E?
Une segment
Point
Ray
Answer:
Point
Step-by-step explanation:
HW HELP! Will mark you BRAINLIEST!!
Answer:
16. DF = - 1-(-4) = 3
17. DE = -1/1/3 -(-4)
= - 5/3 + 12/3
= 7 / 3
18. FG = 2-(-1) = 3
19. FH = 3.5 - (-1) = 4.5
20. GH = 3.5 - 2 = 1.5
21. EH = 3.5 -(-1.5) = 5
22. AC = 16
3x + 7 = 16
x = 3
23. AB = x +7
= 10
24. BD = 2x + 3x - 1
=5(3) - 1
=14
25. CE = 3x - 1 + 2x + 3
=5x +2
=17
Solve for t.
Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.
12t-2 < -5t + 3612t−2<−5t+36
Answer:
25.
Step-by-step explanation:
Answer:
t < 38/17
Step-by-step explanation:
Helplpppppp
5(5x+1)=25x-7 *
Answer:
25x+5=25x-7.
25x-25x=-7-5.
= -12.
Answer:
No solution.
Step-by-step explanation:
[tex]5(5x+1)=25x-7\\\\25x+5=25x-7\\\\25x+5-5=25x-7-5\\\\25x=25x-12\\\\25x-25x=25x-25x-12\\\\\boxed{0\neq-12}[/tex]
Hope this helps.
Arectangle has length 2x+3 and width 7x+9. Write a polynomial in standard form that represents the perimeter of the rectangle. You MUST combine like terms. Do not write "P="[answer]
Answer:
18x+24 is the answer
Step-by-step explanation: