Answer:
44
Step-by-step explanation:
The relations can be written using one variable to represent Mikhail's age: m. Gabrielle's age is (m-11), so the sum of their ages is ...
m +(m -11) = 77
2m = 88 . . . . . . add 11
m = 44 . . . . . . . divide by 2
Mikhail's age is 44.
__
Additional comment
Gabrielle is 33.
You could solve this using two variables:
m - g = 11m + g = 77Adding these two equations gives the one we have above:
2m = 88
m = 44
__
You may have noticed we are given the sum and the difference of the two ages. The older Mikhail's age is half the sum of those two numbers. The younger Gabrielle's age is half their difference: (77 -11)/2 = 33. This "half the sum, half the difference" solution is the generic solution to a "sum and difference" problem.
Gabrielle : 33
Mikhail : 44
Explanation:
Let Mikhail's age be x
And Gabrielle's age be y.
======================
Gabrielle is 11 years younger than Mikhail
y = x - 11 [ equation 1 ]
sum of their ages is 77
x + y = 77 [ equation 2 ]
Insert equation 1 into 2
x + x - 11 = 77
2x = 77 + 11
2x = 88
x = 44
Therefore, the age of Mikhail is 44
Find Gabrielle's age:
y = x - 11
y = 44 - 11
y = 33
Therefore, the age of Gabrielle is 33
A principal of $4,570 is placed in an account that earns 4. 5% interest. If the interest is compounded annually, how much money will be in the account at the end of 5 years? a. $4,654. 15 b. $4,775. 65 c. $5,638. 75 d. $5,695. 05 Please select the best answer from the choices provided A B C D.
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$4570\\ r=rate\to 4.5\%\to \frac{4.5}{100}\dotfill &0.045\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &5 \end{cases} \\\\\\ A=4570\left(1+\frac{0.045}{1}\right)^{1\cdot 5}\implies A=4570(1.045)^5\implies A\approx 5695.05[/tex]
Answer:
The correct answer is D.
Step-by-step explanation:
$5695.05
Tom's annual salary is $67,400. a) What is his monthly salary? b)What is his weekly
salary?
Answer:
Monthly salary: $5,617; Weekly salary: $1,296
Step-by-step explanation:
Since there are 12 months in a year, you would divide the number of months by the salary.
67400/12x≈5617
The monthly salary is about $5,617.
Since there are about 52 weeks in a year, you would divide the number of weeks by the salary.
67400/52x≈1296
The weekly salary is about $1,296.
the graph of a function g is shown please find the following g(10)
Check the picture below.
When Sharon and her mom went bowling, Sharon bowled a 122. Her mother bowled a
251. About how much higher was the mother’s score than Sharon’s?
Answer:
129
Step-by-step explanation:
251-122=129
CMON HURRRRRRRRRRRRRY PLEASEEEEEEEEEE
Answer:
3-6/-11
Step-by-step explanation:
thank me later
emmitheblackbobcat
Answer:
D
Step-by-step explanation:
[tex]-\dfrac{11}{6}=\dfrac{-11}{6}=\dfrac{11}{-6}[/tex]
HELP PLEASE! 40 POINTS AND WILL MARK BRAINLIEST.
The number 97 is a term of the sequence defined by the explicit rule f(n)=4n-3. Which term in the sequence in 97? Justify your answer.
Answer:
it is 25 as you go down
Step-by-step explanation:
97, 86, 75, 64, etc go in the sequence
I think this is correct
:) Hope you enjoy this :)Answer:
The 25th term is 97
Step-by-step explanation:
f(n)=4n-3
97=4n-3
Add 3 to each side
97+3 = 4n-3+3
100 = 4n
Divide each side by 4
100/4 = 4n/4
25 = n
The 25th term is 97
Find the y-intercept for the parabola defined by
this equation:
y= x2 + 8x + 12
Separate the values with a comma.
Answer:
12
Step-by-step explanation:
Set x=0
when you do that, you will find the point where y=12 since x^2+8x=0, but adding the 12 moves up the y-component by 12 units
The expression 5x − 3(2x − 4) is equivalent to the expression 12 − x
Answer:
no it 7x-7
Step-by-step explanation:
add 5x and 2x bc there like terms. along with -3 and -4
The diameter of a cylinder is 1 yd. The height is 4 yd.
Find the volume of the cylinder.
Answer:
3.14 cube.yd
Step-by-step explanation:
Volume of cylinder= πr^2h
3.14 × 0.5 × 0.5 × 123.14 cube.ydwhat is the value of 30-2(7+2)-1
Answer:
11
Step-by-step explanation:
30-2(7+2)-1
30-2(9)-1
30-18-1
12-1
11
Answer: Thy answer to ye question is 11
Step-by-step explanation:
The volume of a cuboid is 432cm3. The length is 3cm and the width is 120mm. Work out the height of the cuboid in cm.
Answer:
dont delete
Step-by-step explanation: why? cause yes
What is the rule for this pattern? 1st term:32, 2nd term:36, 3rd
term:40
Answer:
Add four to each sum
Step-by-step explanation:
32, 36, 40
32 + 4 = 36
36 + 4 = 40
Rule: Add four to each sum
Hope this helped!
(Let me know if I got something wrong!)
the parabola x = y^2 - 9 opens:
down, right, left, or up
Answer:
right, can you please say thank you
Step-by-step explanation:
Answer:
it opens up to the: right
Step-by-step explanation:
Now i just need 4 6 5
Which is greater: 3x3/2 or 3X2/3 Why?
Answer:
3X3/2 is greater
Step-by-step explanation:
Go left to right and solve the equations.
Equation 1: 3 multiplied by 3 is 9. 9 divided by 2 is 4.5
Equation 2: 3 multiplied by 2 is 6. 6 divided by 3 is 2
Equation 1 yields a greater value.
Answer:
The 3x3/2 is greater than 3x2/3
Step-by-step explanation:
Here is a simple tip when solving these questions:
Decimal form is always great to use because you get the answer instantly instead of finding a common denominator while involving fractions.
Let's solve 3x3/2.
First, do 3x3 which is 9.
Your problem should be 9/2
Now, you could do this as a mixed number but like I said there shall be more work so you should do 9/2 on a calculator or divide but involve decimal point if you have a remainder.
9 divided by 2 is 4.5
9/2 is 4.5 (Above is the interpretation in words)
Next, do 3x2/3
The same thing as last, do 3x2 first.
Your problem should be 6/3
If we know our division facts then 6 divided by 3 is 2.
Lastly, compare our numbers.
The 3x3/2 is 4.5 and the 3x2/3 is 2
Line the numbers up:
4.5
2.0
The tens digit clearly shows that 4 is greater than 2.
Therefore,
The 3x3/2 is greater than 3x2/3
ATB is a tangent to the circle centre O. Find the values of x y and z in each case.
Answer:
Step-by-step explanation:
divde then add 67b
then complete
Answer:
don't know only i need points to post my question..
How to answer this piecewise function?
Answer:
well the answer is... and then you... which leads to.....
Step-by-step explanation:
This shifts the graph down 1 unit, reflects over the x axis, then vertically dilates by a factor of 2.
=============================================================
Explanation:
Refer to the figures below. The screenshots may be a bit on the big side, so brainly might attempt to reduce the size. To fix this, click on the magnifying glass to get a better look. There are 4 images in total.
Figure 1 is the original graph your teacher gave you.
Figure 2 shows the translation of the parabola 1 unit down. This aligns the right piece of the red parabola to the green V curve. This junction location is (1,0).
Afterward, in figure 3, we reflect the parabola over the x axis to have the left endpoint of the parabola (-3,8) move to (-3,-8). Unfortunately the (-3,-8) doesn't match up with the right most piece of the blue cubic curve.
Luckily, a quick fix is to double the y coordinate from -8 to -16 and the two pieces match perfectly. The other junction is (-3,-16). This is shown in figure 4.
To summarize, we did these transformations in the order presented.
Shift down 1 unit (figure 2)Reflect over the x axis (figure 3)Vertically stretch or dilate by a factor of 2 (figure 4)--------------
Now to shift down 1 unit, we subtract 1 from each g(x) output.
Therefore, we go from g(x) to g(x)-1
Reflect over the x axis to get -(g(x) - 1) = -g(x) + 1
Lastly, we double everything when applying the dilation mentioned to end up with the final answer: -2*g(x) + 2
You can use a tool like GeoGebra to check your work. It's the app I used to make the figures shown below.
Someone help me with this please
Add 17 , 19 , 20 , 20 , and 23
Answer:
99
Step-by-step explanation:
Answer:
=99
Step-by-step explanation:
This is Maneli’s strategy from the previous screen:
“I think we should multiply each side by 3/2 because that is the reciprocal of 2/3
Write an equation that can be solved using Maneli’s strategy.
To solve an equation involving a fraction, to get rid of the fraction, multiply both sides of the equation by the reciprocal of the fraction.
What is an equation?An equation is an expression used to show the relationship between two or more numbers and variables.
To solve an equation involving a fraction, to get rid of the fraction, multiply both sides of the equation by the reciprocal of the fraction. For example:
(a/b)x = 1
(a/b)x * (b/a) = 1 * (b/a)
x = b/a
Find out more on equation at: https://brainly.com/question/2972832
could someone please help ?
Answer:
No
Step-by-step explanation:
Put x = 2 into both equations:
For x- 10 = 2-10 = 8 (Not > 8)
For -0.5x-4 = -0.5*2-4 = -5 (Not < -8)
Hence, the answer is no.
(8+t)^3 -6 when t =2 what is the value of this expression
Answer:
994
Step-by-step explanation:
(8+t)^3 - 6
t = 2
(8+2)^3 - 6
add 8 and 2
(10)^3 - 6
evaluate exponent
1000 - 6
subtract
= 994
Answer:
994
Solving steps:
(8+2)^3-6
We begin by calculating the expression inside the parentheses.
(8+2)^3-6
(10)^3-6
Simplify exponents and square roots
10^3-6
1000-6
994
what is -3 (x-8)=87
Answer:
x=-21
Step-by-step explanation:
-3(x-8)=87
-3x+24=87
-3x=63
x=-21
x= -21
Step-by-step explanation:
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for Money answer this.
Answer:
This is a "strategic" guess
Step-by-step explanation:
It is answer C
I don't know the answer pls help fast I don't get it 25 points pls answer quick
V = 1/3 x B x H
Solve for B:
Multiply both sides by 3:
3v = B x H
Divide both sides by H
B = 3V/H
The answer is C
Find the radius of the circle with a diameter of 60 millimeters.
Answer:
Radius = 30milimeters
Step-by-step explanation:
The radius is one-half the diameter so you just divide the diameter by 2
What is the volume of a right cylinder with a radius of 3 and a height of 10?
Question 3 options:
120π
60π
90π
30π
Answer:
I believe 90π
Step-by-step explanation:
V=πr2h=π·32·10≈282.74334
90π ≈ 282.6
2( 4- 2) gggggggggggg
Answer:
[tex]4g^{12}[/tex]
Step-by-step explanation:
if it is just 2(4-2) then it will be 4
Variables x, y, and z are integers such that xyz > 0. If xy=30, x/z=2/3, and z=9, what is the value of y?
Explanation:
Plug z = 9 into the second equation and solve for x.
x/z = 2/3
x/9 = 2/3
x = 9*(2/3)
x = 18/3
x = 6
This leads to
xy = 30
y = 30/x
y = 30/6
y = 5
Adwoa made fresh orange juice. If she used 2 oranges per a glass of juice and made 6 glasses of juice.How many oranges did she use?
Answer: 12 oranges
Step-by-step explanation: To fill one glass, Adwoa needs 2 oranges. She made 6 glasses.
1 glass : 2 oranges
6 glasses : x oranges
x = [tex]\frac{6*2}{1}[/tex] = 12