Final answer:
The daughter is 10 years old, and the mother is 36 years old. We solved two equations simultaneously to find their ages, based on the relationship between their ages and their combined total age.
Explanation:
To solve the problem, we need to set up two equations based on the information provided. Let's denote the daughter's age as d and the mother's age as m. We are given that the mother is 6 years older than 3 times her daughter's age. Formally, this can be expressed as:
m = 3d + 6
Next, we know that their combined ages total 46. This leads to a second equation:
m + d = 46
We can use these two equations to solve for d and m. Substituting the expression for m from the first equation into the second gives:
3d + 6 + d = 46
We simplify this to find d:
4d + 6 = 46
4d = 40
d = 10
Now we can use this to find m:
m = 3(10) + 6
m = 30 + 6
m = 36
So the daughter is 10 years old and the mother is 36 years old.
the parent function of a quadratic equation is vertically stretched by a factor of 2, then translated 5 units to the right and 1 unit down. write the equation of the new function in vertex form
A vertical stretch appears as a multiplier for the function value. Translation right appears as a value subtracted from the independent variable. Translation up appears as a value added to the function value.
For function f(x), stretching by a factor of 2, then translation 5 right and -1 up will give the function
... g(x) = 2f(x-5) -1
When f(x) = x², this becomes ...
... g(x) = 2(x -5)² -1
... g(x) = 2x² -20x +49
The equation of the new function in vertex form after the parent function of a quadratic equation is vertically stretched by 2, translated 5 units to the right and 1 unit down is y = 2(x - 5)^2 - 1.
Explanation:The parent function of a quadratic equation is given by f(x) = x^2. When it is vertically stretched by a factor of 2, it becomes 2f(x) = 2x^2. 5 units translation to the right will give f(x - 5) = 2(x - 5)^2 and a 1 unit downward shift gives f(x) = 2(x - 5)^2 - 1. Therefore, the equation of the new function in vertex form is y = 2(x - 5)^2 - 1.
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If length of one side of cube is 20 cm, then volume of cube must be...
A: 4000 cm 3
B: 6000 cm 3
C: 800 cm 3
D: 8000 cm 3
D
the volume (V ) of a cube = s³ ( where s is the length of the side )
here s = 20, hence
V = 20³ = 8000 cm³
emily earns $75 per day plus a commission. her commission is 15%. she sells $600 worth of furniture. how much does she earn for the day
It would be $165. If she earns $75 a day, plus what she make from selling the furniture. That 15% of $600 is $90. Simply add $90+$75 and your answer is $165.
Which ordered pair is a solution of the equation?
x+7y=17
Choose 1 answer:
(Choice A)
A
Only (10,1)
(Choice B)
B
Only (-4,3)
(Choice C)
C
Both (10,1) and (-4,3)
(Choice D)
D
Neither
The ordered pair is a solution of the equation is option C) Both (10, 1) and (-4, 3)
Which ordered pair is a solution of the equation?To know which ordered pair is a solution of the equation x + 7y = 17, we can substitute the values of x and y from each option into the equation and see if it holds true:
A) (10, 1)
Substitute x = 10 and y = 1 into the equation:
10 + 7(1) = 10 + 7 = 17
So, (10, 1) is a solution.
B) (-4, 3)
Substitute x = -4 and y = 3 into the equation:
-4 + 7(3) = -4 + 21 = 17
So, (-4, 3) is also a solution.
So, both (10, 1) and (-4, 3) satisfy the equation x + 7y = 17, the correct answer is: option C) Both (10, 1) and (-4, 3)
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The height of a baseball thrown from the catcher to first base is modeled by the function h(t)=-0.08t^2+0.72t+6, where h is the height of the ball measured in feet and t is the time since being thrown, measured in seconds. The ball is in the air for 10 seconds before being caught. What’s the initial height of the ball?
A. 4.2 feet
B. 5.72 feet
C. 6 feet
D. 9 feet
answer is C. 6 feet.
oint) Solve the following inequality. Enter the answer in interval notation. 10x - 5 < -10(8x - 2)+3 Answer: Note: If the answer includes more than one interval, write the intervals separated by the "union" symbol, U. If needed, enter \infty as infinity and -\infty as -infinity.
Test Number Score
________________
1 86
_________
2 84
_________
3 79
_________
4 87
_________
5 75
_________
6 84
_________
7 89
_________
8 90
_________
9 88
_________
10 92
_________
Sara has been using an online review program to take practice tests for her upcoming graduation exam. Her scores are shown in the table. What is the range of the data set?
A) 17
B) 79
C) 85.4
D) 86.5
Answer:
17
Step-by-step explanation:
86 , 84 , 79, 87 , 75 , 84, 89, 90, 88, 92
The lowest and highest grades are shown above.
92 - 75 = 17
Answer:
17
Step-by-step explanation:
86 , 84 , 79, 87 , 75 , 84, 89, 90, 88, 92
The lowest and highest grades are shown above.
92 - 75 = 17
The length of a rectangle is 12 units longer than the width. The perimeter is 7 times the width. Find the length and the width of the rectangle?
Log explanation below; answer is at bottom.
If the length, l, is 12 units longer than the width, w, then w = l - 12. If the perimeter, p,
p = 2l +2w,
is 7 x w, then
w = p/7
When two things are set equal to the same variable, they are equal to each other, so,
l - 12 = p/7
Now you need to get rid of the p so you are only working with one variable. To do this you plug in whatever p is equal to for p, so,
l - 12 = (2l + 2w)/7 now to get rid of the w do the same thing we did with p just for w. So,
l - 12 = (2l + 2(l - 12))/7
To solve this you want to multiply both sides by 7 first to get rid of the fraction.
7l - 84 = 2l + 2(l - 12)
Next you want to distribute the 2 over the l and the 12.
7l - 84 = 2l + 2l - 24
Next you want to combine like terms on each side.
7l - 84 = 4l - 24
Next add 84 and subtract 4l from sides to isolate the variable.
3l = 60
Now divide each side by 11 to get your answer.
l = 20.
To find the width,
w = l - 12
Just plug in and solve.
w = 20 - 12
w = 8
So your length and width are 20 and 8.
l = 20
w = 8
The width of the given rectangle is 8 units and the length is 20 units.
To find the length and the width of a rectangle when given that the length is 12 units longer than the width and the perimeter is 7 times the width, we can set up two equations. Let's denote the width as w and the length as l. According to the problem, l = w + 12 and the perimeter P = 2l + 2w is equal to 7w.
Set up the equations
l = w + 12
P = 2l + 2w
P = 7w
Substitute the value of l into the perimeter equation
7w = 2(w + 12) + 2w
Solve for w
7w = 2w + 24 + 2w
7w = 4w + 24
3w = 24
w = 8
Find the length using the width
l = w + 12
l = 8 + 12
l = 20
A report prepared by a credit bureau which shows details of an individual’s credit history is a _____.
The answer is Credit Report
Answer:
Credit Report fellas!
Step-by-step explanation:
what polynomial could you subtract from 5x^3-12x-x^2+9-12x^5-6x^4 to give a difference of 19+8x^3-18x-19x^5-2x^2-8x^4 ???
Given polynomial is:
[tex]-12x^{5}-6 x^{4}+5 x^{3}-x^{2}-12x+9[/tex] ..... Lets say it is "a"
We have to subtract a polynomial from this above one, to get the answer as:
[tex]-19x^{5}-8x^{4}+8x^{3}-2x^{2}-18x+19[/tex] ..... Lets say it is "c"
Lets say we have to subtract "b" so we have : [tex]a-b=c[/tex] or we can say [tex]a-c=b[/tex]
So, we will subtract "c" from "a" and get:
[tex]7x^{5}+2x^{4}-3x^{3}+x^{2}+6x-10[/tex]
Hence, this is the answer.
The speed limit on the highway is 55 mph which equality best describes this me assuming the variable S represents be help ASAP
The answer is the speed is less than or equal to 55 mph.
S≤55
how many more miles is it to travel to Jakarta 10,053 than to london 3,471?
It would be 6,582 more miles to travel to Jakarta than it would to travel to London.
Hope this helps :)
Simplify
9 – 5(–7x + 5)
9-5(-7x+5)
------------------
9+35x-25
35x+9-25
35x-16
Hello!
[tex]9 - 5(-7x + 5)[/tex]
Explanation:
↓↓↓↓↓↓↓↓↓↓↓↓↓
First you had to expand.
[tex]-5(-7x+5):35x-25[/tex]
[tex]9+35x-25[/tex]
Then simplify it should be the correct answer.
[tex]9+35x-25:35x-16[/tex]
[tex]=35x-16[/tex]
Answer⇒⇒⇒⇒35x-16
Hope this helps!
Thank you for posting your question at here on Brainly.
Have a great day!
-Charlie
Find the number that makes the ratio equivalent to 2:8.
A ratio is used to describe how two or more quantities are related. For example, we might say that a fruit drink calls for sugar crystals to be mixed with water in a ratio of 2:8. This means that for every 2 scoops sugar crystals, there will need to be 8 ounces of water. If there were 200 scoops of sugar crystals, there would need to be 800 ounces of water.
Sure, we'll start off by simplifying the ratio 2:8. Simplifying it gives us 1:4.
Our aim is to find a number, let's denote it by x, such that the ratio 2:x will be the same as 1:4.
To find such an x, we need to set up an equation using the principle of equivalence of ratios. This gives us 2/x = 1/4.
Now we proceed to solve this equation for x. We do this by cross-multiplying the fractions in the equation.
Cross-multiplication gives us 2*4 = x*1. Simplifying this yields 8 = x.
Hence, we can conclude that the number x that makes the ratio 2:x equivalent to 2:8 is 8.
Evaluate 3⋅(1−21/0−^3)+12
A.−3,012
B. −2,988
C.2,600
D.3,066
What value of y will make this expression equal to 2.45?
What is the expression?
Any value of y, except when y = -4.9, will make the expression equal to 2.45.
Which picture shows the correct graph of |x|=5?
|x| = 5
x = 5 or x = -5
You need a graph that has a closed dot on -5 and a closed dot on 5.
Answer: B. Picture B
Five-hundred twenty-one million, three hundred four thousand, six hundred two and three tenths. In standard form
As line becomes the value of its slope get bigger
What is your question exactly??
Calcule:
a) (+9) + (-5) =
b) (+3) + (-4) =
c) (-8) + (+6) =
a) 9 + -5 = 9-5 = 4
b) 3 +-4 = 3 -4 = -1
c) -8 + 6 = -2
Comb someone help me
C is the correct statement
∠CBE and ∠DEB are same side interior angles
Tom saves $5 each month, how many months will he need to save $20?
4 months because:
1 month = 5 dollars
so you add 5 until you get to 20 dollars. And as many times as you added 5 is how
many months. So:
5= 5
5 + 5 = 10
5+5+5= 15
5+5+5+5= 20
^ ^ ^ ^
1 2 3 4
your answer is 4 months ^^
the recipe for an omelet says 5 eggs make 2 serving. how many eggs are required to make 8 serving?
Javier has 4 boxes of comic books. The mean number of books in each box is 25 . Which number line shows what could happen to the mean if he fills two more boxes, one with 26 comic books and one with 30 comic books?
The mean could increase from 25 to 27.
Explanation:The mean number of books in each box is 25. If Javier fills two more boxes, one with 26 comic books and one with 30 comic books, the mean could increase or stay the same. Let's calculate the mean with and without the additional boxes:
Mean without additional boxes: (4 boxes * 25 books per box) / 4 = 25
Mean with additional boxes: (6 boxes * 25 books per box + 26 books + 30 books) / 8 = (150 + 26 + 30) / 8 = 27
Therefore, the mean could increase from 25 to 27 if Javier fills two more boxes with 26 and 30 comic books.
Zoe has 1500 beads. She wants to make 6 friendship bracelets. She needs 215 beads for each bracelet. How many beads will Zoe have left after making all six of the bracelets? explain
Zoe will have 210 beads left after making all six of the friendship bracelets.
Explanation:Zoe has 1500 beads and wants to make 6 friendship bracelets, with 215 beads needed for each bracelet. To find the total number of beads needed for all the bracelets, multiply the beads required for one bracelet (215) by the number of bracelets (6). This equals 1290 beads. To find the number of beads Zoe will have left after making all the bracelets, subtract the total number of beads needed (1290) from the initial number of beads (1500). Therefore, Zoe will have 210 beads left.
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Find the distance CD rounded to the nearest tenth.
C=(5,6) and D (2,2)
CD=
Use the distance formula to find the distance between points C (5,6) and D (2,2).
d=[tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]
Plug the corresponding values in to the equation.
d=[tex]\sqrt{(2-5)^2+(2-6)^2}[/tex]
Then simplify the rest of the equation.
d=[tex]\sqrt{(-3)^2+(-4)^2}[/tex]
d=[tex]\sqrt{9+16}[/tex]
d=[tex]\sqrt{25}[/tex]
d=[tex]5[/tex]
The distance of the two points CD is 5.
To find the distance between point C=(5,6) and point D=(2,2), we use the distance formula which results in d=5.0 units rounded to the nearest tenth.
To calculate the distance between point C and point D, we use the distance formula derived from the Pythagorean theorem. The coordinates given are C=(5,6) and D=(2,2). The distance formula is:
d = √{(x₂ - x₁)² + (y₂ - y₁)²}
Substituting the coordinates of points C and D into the formula gives us:
d = √{(2 - 5)² + (2 - 6)²}
This simplifies to:
d = √{(-3)² + (-4)²}
Further simplifying:
d = √{9 + 16}
d = √{25}
Finally, taking the square root of 25:
d = 5
Therefore, the distance between point C and point D, rounded to the nearest tenth, is 5.0 units.
What is the answer???♀️♀️♀️
5-(-8) = 5 + 8 =13
As multiplication of two negatives is positive
What is the GCF of two prime numbers
It must be 1.
Factors of prime numbers are 1 or themselves, the only factor common to all prime numbers is 1.
Echy~
The Greatest Common Factor (GCF) of two prime numbers is always 1.
The Greatest Common Factor (GCF) of two prime numbers is always 1 because prime numbers are numbers with only two factors: 1 and themselves.
For example, the GCF of 3 and 5, both prime numbers, is 1 because they do not have any common factors other than 1.
Therefore, when dealing with two prime numbers, the GCF will always be 1.
Which equations show how to find 16-9?
A. 9+1=10 , 10 +5 =15
B. 9+1=10 , 10+6=16
C. 9+2=11 , 11+6=17
D. 9+1=10 , 10+9=19
The option B, [tex]\(9 + 1 = 10\)[/tex] and [tex]\(10 + 6 = 16\)[/tex], correctly shows how to find [tex]\(16 - 9\)[/tex], as it demonstrates that starting with 9 and adding 1 to it and then adding 6 more yield the result of 16. Option b is the correct answer.
The equation to find [tex]\(16 - 9\)[/tex] should involve subtracting 9 from a number and getting a result of 16. Among the provided options:
A. 9+1=10 , 10 +5 =15: This equation does not result in 16.
B. 9+1=10 , 10+6=16 : This equation satisfies the condition [tex]\(16 - 9 = 16\)[/tex], so it's the correct answer.
C. 9+2=11 , 11+6=17 : This equation does not result in 16.
D. 9+1=10 , 10+9=19 : This equation results in 19, not 16.
So, option B, [tex]\(9 + 1 = 10\)[/tex] and [tex]\(10 + 6 = 16\)[/tex], correctly shows how to find [tex]\(16 - 9\)[/tex], as it demonstrates that starting with 9 and adding 1 to it and then adding 6 more yields the result of 16.
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find the product 0.9×079=
Answer is 71.1 because 0.9 x 079 in a calculator is 71.1