Answer:
Jacinth = 17
Naomi = 13
Step-by-step explanation:
they add up to 30 and follow the criteria
Jacinth is 17 years old, and Naomi is 13 years old as per the linear equation method.
Let's assume Naomi's age is x. According to the given information, Jacinth is 4 years older than Naomi, so Jacinth's age would be x + 4.
The sum of their ages is given as 30, so we can write the equation: x + (x + 4) = 30.
Combining like terms, we have 2x + 4 = 30.
Subtracting 4 from both sides, we get 2x = 26.
Dividing both sides by 2, we find x = 13.
Therefore, Naomi's age (x) is 13 years old.
To find Jacinth's age, we substitute the value of x into the equation for Jacinth's age: Jacinth's age = x + 4 = 13 + 4 = 17 years old.
So, Jacinth is 17 years old, and Naomi is 13 years old.
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Samantha's dad paid $47.00 for 20 gallons of gas. What is the price, per gallon of gas in dollars and cents? $
Answer:
2.35 dollars per gallon
Step-by-step explanation:
All you have to do for a question like this is divide the amount of money by the amount of product.
47 divided by 20 = 2.35
Answer:$2.35
Step-by-step explanation: If you divide $47.00 by 20 you get $2.35.
So the price per gallon is $2.35.
The first term of an arithmetic sequence is 10 and its common difference is negative seven.
Answer:
A+(N-1)*D
10+(N-1)*(-7)
10+(-7N+7)
10-7N+7
-7N+17
Step-by-step explanation:
using this equation you can find the rest of the numbers in the sequence
A deposit of $6,500 was invested and has grown to $8,300 in 5 years. The growth in value was via simple interest, calculated on the basis of the initial investment. Calculate the rate of interest. Give your answer as a percentage to the nearest tenth of a percent.
Answer: 5.5%
Step-by-step explanation:
Since the money invested has grown to $8300 and the principal was $600, this means the interest is:
= $8300 - $6500
= $1800
Simple interest = (Principal × Rate × Time)/100
1800 = (6500 × Rate × 5)/100
Cross multiply
1800 × 100 = 32500 × Rate
Rate = 180000/32500
Rate = 5.5%
which of the tables represent a function?
PLEASE BE QUIIICCCKKK
Answer:
I think its C or A
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
A function can never have a 'x' with two values.
If you say f(x) = a, then there is only one number 'a' which satisfy. If however, you say f(x) = a & f(x) = b, then it's not a function, since there are two values of f(x).
Following this,
A: x = 3 has two f(x) = 2 & 1, so it's not a function
Similarly you can check for all.
There is only one table which x has a unique value.
Correct B
Note that, f(x) = a & f(x) = b, doesnt represent a function. If it is, then a = b is must.
Also, a function is possible only when it satisfies this. But
f(x) = a, f(y) = a, f(z) = a is possible.
plz help me because I need it
Answer:
C
Step-by-step explanation:
david is running a concession stand at a soccer game. he sells nachos and sodas. nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, DAvid made a total of $78.50 and sold a total of 87 nachos and sodas combined
Answer:
so what are you asking
Step-by-step explanation:
the distance between Two Cities on a map is 4.125. find the actual distance if the scale on the map was 2 inches = 40 miles
Answer:
85 miles.
Step-by-step explanation:
Lets begin by figuring out the number of miles in 4 inches. Since every 2 inches make 40 miles, we can figure out that there are 80 miles in 4 inches. To figure out that .125 part, we multiply 40 by .125, to get 5. We can add 80 plus 5 to get our grand total of 85 miles.
The distance between two towns is 120 kilometers. There are approximately 8 kilometers in 5 miles.
Which measurement is closest to the number of miles between these two towns?
Answer:
45miles.
Step-by-step explanation:
If 8km = 5miles
hence the number of miles between the two towns = 120/8 × 5
= 15 × 5
= 45miles.
Answer:
75 mi
Step-by-step explanation:
120/8=15
15x5=75 mi
The graph below models the late fee for overdue books at the library what is the unit rate for the cost of an overdue book at this library?
A)$2 per day
B)$4.50 per day
C)$0.50 per day
D)$1 per day
Answer:
The answer is C. $0.50 per day .
Hope this helps
Option C is correct, $0.50 per day is the unit rate for the cost of an overdue book at this library.
The unit rate is the cost per one unit of a given quantity.
In this case, it's the cost of an overdue book per day.
In the given graph models the late fee for overdue books, you can find the unit rate by identifying two points on the graph and calculating the slope between those points.
Suppose you have two points on the graph: (x₁, y₁) and (x₂, y₂), where x represents the number of days the book is overdue, and y represents the corresponding late fee in dollars.
The formula for calculating the slope (m) between two points is:
m = (y₂ - y₁) / (x₂ - x₁)
Let us take two points from graph: (4, 2) and (6, 3)
Unit rate = 3-2/6-4
=1/2
=0.5
Hence, $0.50 is the unit rate for the cost of an overdue book at this library. Option C is correct.
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Five students write measurements for the three side lengths of various triangles.
Student
Side Lengths
1 3, 4, and 5
2 4, 7, and 10
3 5, 12, and 16
4 6, 8, and 10
5 7, 11, and 13
Which students' measurements form a right triangle? Select ALL that apply.
A Student 1
B
Student 2
С
Student 3
D
Student 4
I
E
Student 5
Answer:
student 3 i think yea
Step-by-step explanation:
Which equation is equivalent to y=2/3x-6
A. 2x+3y=-6
B.3x-2y=6
C.3x-2y=12
D.2x-3y=18
Answer:
D. 2x-3y=18
Step-by-step explanation:
1. multiply both sides by 3 to get rid of the fraction
( 3)(y)=([tex]\frac{2}{3}[/tex]x -6)(3)
2. That gives 3y=2x-18
3. subtract 2x on both sides
3y=2x-18
-2x = -2x
3. that gives -2x+3y=-18
4. then multiply by -1 to make 2x positive
-1(-2x+3y=-18)
5. and that gives 2x-3y=18
Which sequences of transformations confirm the congruence of shape II and shape I?
a reflection of shape I across the x-axis followed by a 90° clockwise rotation about the origin
a reflection of shape I across the x-axis followed by a 90° counterclockwise rotation about the origin
a reflection of shape I across the y-axis followed by a 90° counterclockwise rotation about the origin
a reflection of shape I across the y-axis followed by a 90° clockwise rotation about the origin
a reflection of shape I across the x-axis followed by a 180° rotation about the origin
A,B,C
Step-by-step explanation:
Answer:
A, B and C
Step-by-step explanation:
The straight line 4x+5y-20 = 0 cuts the X-intercept, Y-intercept and hence find area of traingleAOB
Answer:
The area of the triangle AOB is 10
Step-by-step explanation:
The line 4x+5y-20=0 forms a triangle AOB as shown in the figure below. The points A and B are the y-intercept and x-intercept respectively, and the point O is the origin.
To find the intercepts, we set the other variable to zero and solve the resulting equation.
Set x=0, the y-intercept is found as follows:
4(0)+5y-20=0
5y=20
y=20/5=4
The y-intercept is y=4
Set y=0, the x-intercept is now found:
4x+5(0)-20=0
4x=20
Solve:
x=20/4=5
The x-intercept is x=5
Now, knowing the base b and the height of the triangle h are 5 and 4 respectively, the area of the triangle is:
[tex]\displaystyle A=\frac{bh}{2}[/tex]
[tex]\displaystyle A=\frac{5\cdot 4}{2}=10[/tex]
The area of the triangle AOB is 10
what is the point slope form of a line that has a slope of 3 and passes through point (1,4)?
Solve for k in the following equation:
m =
8kx
7.
- 6
Answer:
m=56kx-6
Step-by-step explanation:
What is the length of DE?
2.9 units
7.2 units
12.5 units
Answer:
7.2 units
Step-by-step explanation:
Estimate and Guess
We know that it cannot be 2.9 units long, because it slanted is 6 units long. The closest value to that is 7.2 units.
Answer: 7.2 units
Need help answering 25pts ?
Answer:jnvjdfsStep-by-step explanation:
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Substitute the given value for x into each equation to determine the value of y.
1. y = 3x + 6; x = -4
2.3.2 - 8y = 12; x = 4
3. y = -43; x = -2
Answer:
Y=-6
Y= -1.1
Y=-43
Step-by-step explanation:
How many square feet of outdoor carpet will
we need for this hole?
Answer:
42 square feet
Step-by-step explanation:
the smaller square at the bottom
3 x 2 = 6 square feet
the larger square
3 x11 = 36
add the two areas together
36+6 = 42
can someone help with this please . questions 3 and 4
Please help! Geometry.
ayo if you answer youll get brainliest
Solve the following Linear Equation.
3a + 2 (2a - 1) = 33
show work pls
Answer:
[tex] \huge{ \boxed{ \tt{a = 5}}}[/tex]
Step-by-step explanation:
[tex] \text{3a + 2(2a - 1) = 33}[/tex]
Distribute 2 through the parentheses
↦[tex] \text{3a + 4a - 2 = 33}[/tex]
Add the terms : 3a and 4a
↦ [tex] \text{7a - 2 = 33}[/tex]
Move 2 to right hand side and change it's sign
↦ [tex] \text{7a = 33 + 2}[/tex]
Add the numbers : 33 and 2
↦ [tex] \text{7a = 35}[/tex]
Divide both sides by 7
↦[tex] \text{7a\: / \: 7 \: = 35 \: / \: 7}[/tex]
↦ [tex] \text{a = 5}[/tex]
Hope I helped!
Best regards! :D
~[tex] \text{TheAnimeGirl}[/tex]
[tex]
\tt{\huge{ {a = 5}}}
[/tex]
Step-by-step explanation:
[tex]3a + 2(2a - 1) = 33 \\
Distribute \: 2 \: through \: the \: parentheses \: \\ 3a + 4a - 2 = 33 \\ 7a - 2 = 33
\\ 7a = 33 + 2\\ 7a = 35 \\
a = 5.\\ ♨Rage♨
[/tex]
The table shows some values of f(x) and g(x) for different values of x: x f(x) = 15x − 12 g(x) = 3x −2 0.11 −1 −27 0.33 0 −12 1 2 Complete the chart and determine the solution of the equation f(x) = g(x).
Answer:
X=1 or C
I hope this helps:)
Answer:
The Answer is C. x = 1
Hope This Helps!
Humans shed about three million particles of skin every five hours. Humans can shed about fifty thousand particles of skin every five minutes. The approximate number of particles of skin a human can shed in five hours can be written in the form a times 10^b, where a is 3 and b is __
Answer: The approximate number of particles of skin a human can shed in five hours can be written in the form a times 10^b, where a is 3 and b is 6 .
Step-by-step explanation:
Given: Humans shed about 3million particles of skin every 5 hours.
Since, 1 million = 1,000,000
Then 3 million = 3 x 1 million
[tex]= 3 \times1,000,000[/tex]
[tex]= 3,000,000[/tex]
[tex]=3\times10^6[/tex]
On comparing to [tex]a\times 10^{b}[/tex] , we get a = 3 and b=6
So, the approximate number of particles of skin a human can shed in five hours can be written in the form a times 10^b, where a is 3 and b is 6 .
Answer:
6
Step-by-step explanation:
First, write the approximate number of particles of skin a human can shed in five hours in scientific notation. This number is three million which can be written in the form a × 10b, where a is 3 and b is 6.
Simon went to high school from 2012 to 2017. He was born when his father was 25. Simon’s parents met while they were in high school together. Part A Choose the compound inequality that describes the year x when Simon’s parents met.
Answer:
Simon started High school in the year 2012.
One usually starts highs school when is 14 years old.
So we can assume that Simon was born 14 years before 2012:
2012 - 14 = 1998
Now, Simon's parents may have met in the beginning of 1998, and Simon was born by the end of 1998. But in that case, Simon would be 13 at the beginning of school, instead of 14.
Then Simon's parents should have met before 1998.
Then the inequality that we have:
x < 1998.
And Simon was born when his father was 25 years old.
Then in 1998, Simon's father was 25 years old.
Meaning that he was born around:
1998 - 25 = 1973.
This means that Simon's parents met in-between the years 1973 and 1998.
1973 < x < 1998
Can anyone help me with thiss? I need the solution ASAP! [tex](n − m)2 for m = −3 and n = 7[/tex]
[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Algebric Operation,
here, m=-3 and n=7
, after substituting we get as,
(7-(-3))*2
=> (7+3)*2
=>10*2
=>20
hence, final answer is 20
Question 17 please I rly need help
Answer:
[tex]\frac{3}{5}[/tex]
Step-by-step explanation:
[tex]\frac{3}{4}[/tex] of [tex]\frac{4}{5}[/tex]
"of" translates to a multiplication symbol in math.
So it's asking for: [tex]\frac{3}{4}[/tex] x [tex]\frac{4}{5}[/tex]
You could cross out both fours getting to the answer of [tex]\frac{3}{5}[/tex]
The graph shows the number of hours that Tammy spends typing for work, x, and the amount of pay that she earns, y.
A graph titled Tammy's Pay with number of hours on the x-axis and pay in dollars on the y-axis. A line goes through points (2, 18) and (8, 42).
What does the y-intercept represent?
The y-intercept represents "How much Tammy is getting paid for each hour she works".
Given that the graph shows the number of hours that Tammy spends typing for work, x, and the amount of pay that she earns, y.
And, a graph titled Tammy's Pay with a number of hours on the x-axis and pay in dollars on the y-axis. A line goes through points (2, 18) and (8, 42).
How to find what the y-intercept represents?If y, is the amount she gets paid then the line on the graph shows the ratio of how much she gets paid for each hour of work.
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Answer:
Answer is A
Step-by-step explanation:
The equation of y-axis is of the form
Answer:
x=0
Step-by-step explanation:
The equation of the y axis corresponds to the equation of every point that lies and constitute the y-axis. As the horizontal distance from every point lying on the y-axis with the main y-axis remains 0, hence, its abscica (x-coordinate) also will be zero.
Hence, x=0
3. 9x10^4. 4. 5x10^7. Please answer 3 and 4
Answer:
9 times 10 to the power of 4 is equal to 9 times 10,000
Step-by-step explanation:
3) is 4 times greater
4) 7 times greater
Answer:
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Step-by-step explanation:
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