Jacinth is 4 years older than her sister Naomi. The sum of their ages is 30. How old are the sisters?
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.
To learn more about the linear equation;
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Larry spends a total of 45 minutes running. He begins at a pace of 8 miles per hour and then reduces his speed to 5 miles per hour. Let t represent the number of minutes Larry spent running at the faster pace. Larry models his distance with the expression 8t+5(45−t) to model the situation. Did Larry correctly model the situation
Answer:
Yes, he did
Step-by-step explanation:
We have that:.
Total time = 45
At time t, he moves at 8mph.
This gives: 8t
The time left is: 45 - t and he moves at 5mph, this gives 5(45 - t).
Hence, the total is
8t + 5(45 - t)
By comparison, we can conclude that Larry modeled the situation correctly.
x 2 +2x−8=
The answer is (x-2) (x+4)
Answer:
x3 - 2x2 - 4x - 10
x
Step-by-step explanation:
i think
Help me out I’m bad at this type of stuff
Answer:
the answer is 3 1/2 hours
Explanation: Just add all the fractions and numbers and subtract that by 9 1/4
Given f(x)=3x2+7 and g(x)=5x-4 solve f(5) btw in the problem the 2 is on top of the X
Answer:
f(5) = 82
Step-by-step explanation:
To evaluate f(5) substitute x = 5 into f(x) , that is
f(5) = 3(5)² + 7 = 3(25) + 7 = 75 + 7 = 82
The charge for a cab ride in one city is modeled by the function f(m)=4+2.5m where m is the number of miles driven. What is the charge for a 12 mile cab ride?
Answer:
34
Step-by-step explanation:
Plugin 12 for x
f(12)=4+2.5(12)
2.5 times 12=30
30+4=34
2. Select the situation below that result in zero. * 0 points A. A diver is at sea level, reaches a depth of 6 ½ feet and descends 6 ½ feet. B. The temperature on a cold day starts at 0 degrees Celsius, falls 4 degrees, and then rises 4 degrees.B. The temperature on a cold day starts at 0 degrees Celsius, falls 4 degrees, and then rises 4 degrees. C. A carbon atom has 6 negatively charged electrons and 6 positively charged protons. D. A person has a bank balance of negative $325.50 and makes a withdrawal of $325.50. E. B and C only
Answer: B and C only
Step-by-step explanation:
The temperature on a cold day starts at 0 degrees Celsius, falls 4 degrees, and rises 4 degrees
Initial temperature = 0
Temperature rise = 4
Fall in temperature = - 4
(Initial temperature + rise in temperature + fall in temperature)
Summing all : (0 + 4 - 4) = 0
carbon atom has 6 negatively charged electrons and 6 positively charged protons.
Net charge of atom :
(number of proton + number of electrons)
( 6 + (-6)) = 0
is 6 rational or irrational??
Answer:
✧・゚: *✧・゚:* *:・゚✧*:・゚✧
Hello!
✧・゚: *✧・゚:* *:・゚✧*:・゚✧
❖ The number 6 is an integer
~ ʜᴏᴘᴇ ᴛʜɪꜱ ʜᴇʟᴘꜱ! :)
Step-by-step explanation:
Answer:
6 is rational.
Step-by-step explanation:
6 is rational because it is classified as a natural/counting number and a whole number.
2 1/7+3/7(3x−5)=−4
A) x= -5 1/7
B) x= -3 1/9
C) x= -1 23/49
D) x= - 8/9
The answer fam is...........B) x= -3 1/9
The ratio of peanuts to crackers is 2:5. If a bag contained 30 peanuts, how many crackers would the bag contain?
Answer:
12:30
Step-by-step explanation:
12:30 is the correct answer
You can divide 30 and 5 to get 6, and multiply the 2 by 6 so it'll be equal.
Hope it helped.
Factor and find all zeros
f (x) = x 4 + 5x 3 + 4x 2 + 20x
Answer:x(x+5)(x2+4)
Step-by-step explanation:
What is 8 x 1/10 = ? Helooo? Couls some one please answaer me i am in the 6th grade so please answer i dont know this lol.
Answer:
0.8 or 4/5
Step-by-step explanation:
[tex]\large\color{lime}\boxed{\colorbox{black}{Answer : - }}[/tex]
[tex]8 \times \frac{ 1 }{ 10 }[/tex]
[tex]Multiply \: 8 \: and \: \frac{1}{10} \: to \: get \: \frac{8}{10}.[/tex]
[tex]\frac{8}{10} [/tex]
[tex]Reduce \: the \: fraction \: \frac{8}{10} \: to \: lowest \\ \: terms \: by \: extracting \: and \: \\ canceling \: out \: 2.[/tex]
[tex]\frac{4}{5} [/tex]
[tex] \color{blue}\frac{2 ^ {2}}{5} = 0.8[/tex]
if i have a 74.23% in math class and i get a 0 on a Summative Assignment, what is my new grade?
Y'all are smart, please help
Write the inverse function for the function, ƒ(x) =x + 4. Then, find the value of ƒ -1(4). Type your answers in the box.
ƒ -1(x) =
ƒ -1(4) =
Answer:
f-1(x)=x-4
f-1(4)=0
Step-by-step explanation:
to get an inverse function, replace x with y, and y with x.
y=x+4 ---> x=y+4
solve for y: x=y+4 --> y=x-4 --> f-1(x)=x-4
f-1(4)=(4)-4=0
Due in 3 minutes please help
Answer:
1847 - 24% decrease
1848 - 68.42% increase
Hope this helps.
Find the value of x.
Answer: 12.65
Step-by-step explanation:
Ive never solved a problem like this, but this is how I would solve it. You first want to find the height of the triangle by using the Pythagorean theorem. Solve for the height by using the left triangle.
[tex](4\sqrt{2} )^2=4^2+b^2\\32=16+b^2\\16=b^2\\b=4[/tex]
b is the height, the dotted line, of both triangles. Now do the Pythagorean theorem on the right triangle to find the value of x
[tex]12^2+4^2=x^2\\144+16=x^2\\160=x^2\\x=\sqrt{160} \\x=12.649=12.65[/tex]
Please answer will mark brainliest
Hi help please this is due today please help ASAP
Answer:
Step-by-step explanation:
What is the equation of a line through point (0,5) that is parallel to the line with equation y= x -7
Answer:
y=x+5
Step-by-step explanation:
Lines are parallel if they have the same slope, the Y-intercept does not matter. Since these line passes through point (0,5) it's y-intercept has to be 5 and It's still parallel with line y=x-7.
Ken went to a county fair and spent $5 on admission, $6.50 on games, and $7.21 on food. If he had $30 before he went to the fair, how much money does he have left?
Answer:
11.29 left
Step-by-step explanation:
30 - 5 = 25 - 6.50 = 18.50 - 7.21= 11.29
Answer:
He would have $11. 29 left
Step-by-step explanation:
30-5 =25
25. 00-6.50 = 18.50
18. 50-7.21 = 11.29
Item 3 Find the distance from point $A$ to $\overleftrightarrow{XZ}$ . Round your answer to the nearest tenth. Triangle X Z A and line X Z are plotted on a coordinate plane. The x-axis ranges from negative 5 to 5, in increments of 1. The y-axis is ranges from negative 5 to 5, in increments of 1. Point X is at ordered pair negative 4 comma negative 3, point Y is at ordered pair 2 comma negative 1.5, point A is at ordered pair 3 comma 3 and point Z is at ordered pair 4 comma negative 1. Angle A Z X is marked with a right angle.
Answer:
3.2
Step-by-step explanation:
Given the coordinates
X(4, -3)
Y(2, 1.5)
A(3, 3)
Z(4,-1)
We are to find the distance from point A to XZ
First let us get the coordinate XZ
According to vector notation XZ = Z-X
XZ = (4,-1)-(4,-3)
XZ = [(4-4),-1-(-3)]
XZ = (0, 2)
Next is to find the distance from A(3, 3) to XZ(0,2) using the formula for calculating the distance between two points.
D = √(x2-x1)²+(y2-y1)²
x1 = 3, y1 = 3, x2 = 0, y2 = 2
D = √(0-3)²+(2-3)²
D = √9+1
D = √10
D = 3.16
Hence the distance from point A to XZ to nearest tenth is 3.2
Circle A has a diameter of 9 , Circle B has a radius of 5 , how many centimeters larger is it ?
Answer:
4
Step-by-step explanation:
The following are the last 10 run scores Colin got in cricket:
1, 25, 27, 3, 23, 25, 5, 9, 26, 27
a) Work out Colin's mean score.
b) Colin plays cricket again on Sunday. He gets 5 runs.
What is his new mean score?
Give your answers as decimals
Answer:
a) 18.8
b) 20
I hope this helps :) Let me know if it's right!
Answer:
17.1
Step-by-step explanation:
Given parameters:
Scores of Colins:
1, 25, 27, 3, 23, 25, 5, 9, 26, 27
A. Colin's mean score;
The mean is the sum of all values divided by the number of values in a given set;
Mean = [tex]\frac{1 + 25 + 27 + 3 + 23 + 25 + 5 + 9 + 26 + 27}{10}[/tex]
Mean = [tex]\frac{171}{10}[/tex]
Mean score = 17.1
4.5x-1.5y=5.4 solve equation for y
Answer:
y=-3.6+3x
Step-by-step explanation:
What is the measure of 1?
Answer:
93
Step-by-step explanation:
h(x)=x−11 i don't get it
carry out the multiplication of the expressions in each of the following pairs 4p,q+r
Answer:
Step-by-step explanation:
4p ( q + r )
4pq +4pr
Hope this helps
plz mark as brainliest!!!!!!
what is the equation in slope intercept form 6x-4y=12 ?
Answer:
y=6/4x-3
Step-by-step explanation:
First, you isolate the y, by subtracting 6x from each side. Then, you divide by -4 on both sides to isolate it to an individual y.
Answer:
Slope = 6/4 or 1 1/2
Step-by-step explanation:
Step 1:
6x - 4y = 12 Equation
Step 2:
y = mx + b Slope Intercept Form
Step 3:
- 4y = - 6x + 12 Subtract 6x on both sides
Step 4:
y = 6/4x + 12 Divide 4 on both sides
Answer:
Slope = 6/4 or 1 1/2
Hope This Helps :)
Name The Angle Pair And Find The Missing Value.
Answer:
Angle 1 and angle 2
x=9
Step-by-step explanation:
The angle pair is complementary since it makes a right angle, so you could technically name it anything like angle 1 and angle 2. You make the equation 4x+8+5x+1=90. Then, you combine like terms and get 9x+9=90. Then, subtract the 9 from 90, 81. 9x=81. Then, divide the 9 from 81. X=9.
What’s 5 divided by 6.2
Answer:
8
Step-by-step explanation:
Because you need to round 0.8064516129 to the nearest tenth