Gabrielle is 15 years older than Milkhail. The sum of there ages is 95 what is Milhails age
The age of Milkhail is 40 years .
In the question ,
it is given that
the the sum of ages of Gabrielle and Milkhail is = 95
let the age of Milkhail be "m" .
given that Gabrielle is 15 years older than Milkhail
So, the age of Gabrielle is = m + 15
the equation representing the sum of ages is given by
total age = age of Milkhail + age of Gabrielle
95 = m + m + 15
adding the like terms ,
we get
95 = 2m + 15
subtracting 15 from both the sides
2m = 95 - 15
2m = 80
dividing both sides by 2
m = 80/2
m = 40
Therefore , the age of Milkhail is 40 years .
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help meeeeeeeeee pleasee
Answer: 2.5, 5.3
Step-by-step explanation:
[tex]-16t^2 +126t=217\\ \\ 16t^2 -126t+217=0\\\\t=\frac{-(-126) \pm \sqrt{(-126)^2 -4(16)(217)}}{2(16)}\\\\t \approx 2.5, 5.3[/tex]
In a video game, Shar has to build a pen shaped like a right triangle for her animals. If she needs 6 feet of fence for the shortest side and 10 feet of fence for the longest side, how many feet of fencing is needed for the entire animal pen?
If in a video game, Shar has to build a pen shaped like a right triangle for her animals. The feet of fencing that is needed for the entire animal pen is : 24 feet.
How to find the feet of fencing needed?First step is to make use of Pythagorean theorem formula to find the other side of the triangle
c= √a²+b²
Where:
a=Side of right triangle
b=Side of right triangle
c=hypotenuse
= √(10² - 6²)
=√(100 - 36)
= √62
= 8 feet
Now let find the perimeter of the triangle
Perimeter of the triangle = 6 feet + 8 feet + 10 feet
Perimeter of the triangle = 24 feet
Therefore the feet needed is 24 feet.
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Answer:24 feet
Step-by-step explanation:i took a test
Solve for u.
-2|3u| +5 > -5
The value of u is -5/3 < u < 5/3
We need to calculate the value of u
-2|3u| +5 > -5
-2(3u) + 5 > -5
-6u + 5 > -5
-6u > -10
6u < 10
3u < 5
u < 5/3
-2(-3u) + 5 > -5
6u + 5 > -5
6u > -10
3u > -5
u > -5/3
Therefore, the value of u is -5/3 < u < 5/3
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Please help as soon as you can
The coordinates of the triangle S'T'U' is (2, -1), (5,3), (1, -4) and the triangle S"T"U" is (1,3), (4,5),(0,-2)
Coordinates:
Basically, the pair of numbers that describe the position of a point on a coordinate plane by using the horizontal and vertical distances from the two reference axes is known as coordinates.
Given,
The triangle STU is graphed at S(2,-1) T(5,-3) U(1,4). Triangle STU is reflected over the x-axis to create triangle S'T'U' and then translated by the rule (x,y) ->(x-1,y+2) to create S"T"U".
Here we need to find the coordinates for triangle S'T'U' and S"T"U".
In order to find the correct transformation for this triangle, we have to do the following,
The formula that is used to reflect a coordinate point about the x-axis.
(X2,Y2) = (X1,Y1) * (1,-1)
So, based on this rule, the coordinates of S'T'U' is,
S(2,-1) => S'((2 x 1), (-1 x -1)) = > S'(2,-1)
T(5,-3) => T'((5 x 1), (-3 x -1)) => T'(5, 3)
U(1,4) => U'((1 x 1), (4 x -1)) => U'(1, -4)
Now we have to apply the next rule,
=> (x, y) -> (x-1, y+2)
S'(2,1) => S'((2 - 1), (1 + 2)) = > S'(1, 3)
T'(5,3) => T'((5 - 1), (3 + 2)) => T'(4, 5)
U'(1,-4) => U'((1 - 1), (-4 + 2)) => U'(0, -2)
Therefore, the coordinates of S'T'U' is (2, -1), (5,3), (1, -4) and the coordinates of S"T"U" is (1,3), (4,5),(0,-2)
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In a right triangle, the length of one leg is 20 units. The length of the other leg is 12 units. What is the length of the hypotenuse?
The of the hypotenuse of the right triangle having a length of 20 units for one leg and 12 units for the other is √( 544 ) units.
What is the length of the hypotenuse?Pythagorean theorem states that the "square on the hypotenuse of a right-angled triangle is equal in area to the sum of the squares on the other two sides.
This is expressed as;
(Hypotenuse)² = (Leg 1 )² + (Leg 2)²
Given the data in the question;
Length of leg 1 = 20 unitsLength of leg 2 = 12 unitsLength of hypotenuse = ?Plug the given values into the formula above and solve for hypotenuse.
(Hypotenuse)² = (Leg 1 )² + (Leg 2)²
Hypotenuse = √( (Leg 1 )² + (Leg 2)² )
Hypotenuse = √( (20 )² + (12)² )
Hypotenuse = √( 400 + 144 )
Hypotenuse = √( 544 ) units
Therefore, √( 544 ) units is the length of the hypotenuse.
Option D) is the correct answer.
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Four times a number is less than 56. Find the largest integer that satisfies the inequality
13.
13x4 is 52 which is the largest integer that's less than 56.
14 x 4 is 56 which is equal or less than.
What is the regression equation for the given data?
The regression equation for the given data is y = -35.575 + 24.774 x.
Let x be the guests and y be the cost.
From the given table:
mean of x = ∑x / n
= 3+4+4+6+6+7+8+8 / 8
= 46/8
= 5.75
∑[tex]x^{2}[/tex] = 290
mean of y = ∑y/n
= 30+60+88+90+115+160+150+162 / 8
= 106.875
a = mean of y - mean of x * b
[tex]b = \frac{s_{xy} }{s_{xx} }[/tex]
[tex]s_{xx} \\[/tex] = ∑[tex]x^{2}[/tex] - (∑[tex]x)^{2}[/tex]/n
= 290 - 46*46/8
= 25.5
[tex]s_{xy} =[/tex] ∑xy - ∑x∑y / n
= 5548 - 46*855/8
= 631.75
a = 106.875 - 5.75*b
b = 631.75/25.5
b = 24.774
a = -35.575
Therefore the regression equation y = -35.575 + 24.774 x.
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If an object is dropped, the distance it fails during t seconds is given by d(t)=1/2gt^2, where g is about 32ft/sec^2. Find the distance an object would fall in 8 seconds.
Since the distanc function is given by
[tex]d(t)=\frac{1}{2}gt^2[/tex]in order to find the distance at 8 seconds, we need to substitute t=8 into this function, that is,
[tex]d(8)=\frac{1}{2}g(8)^2[/tex]By taking into account that g=32 ft/sec^2, we have
[tex]d(8)=\frac{1}{2}(32)(64)[/tex]which gives
[tex]\begin{gathered} d(8)=16\times64 \\ d(8)=1024 \end{gathered}[/tex]Therefore, the answer is 1024 ft, which corresponds to the last option.
BRAINLIST PLEASE HELP!
(a) Angle B = Angle C = 65 degree.
(b) Angle x and Angle y is 70 degree .
Given,
In the question:
9. Write a sequence of rigid motion to take figure ABC to figure DEF.
Now According to the question:
Take a figure ABC to figure DEF
So, CB = FE
BA = ED
Angle B = Angle E
10.(a) To find the unknown measure:
In triangle ABC
Angle A = 90 degree
To find the Angle B and C
Let the angle B and C be x
We know that :
Sum of angle triangle is 180 degree
50 + x + x = 180
50 + 2x = 180
2x = 180 - 50
2x = 130
x = 65°
Hence, Angle B = Angle C = 65 degree.
10. (b) Given,
Angle ABC = Angle BAC
If two sides of a triangle are congruent, then the angles opposite those sides are congruent.
Substitute Angle ABC = y and Angle BAC = x into Angle ABC = Angle BAC .
Angle (ABC + ACB + BAC) = 180 degree (Angle sum theorem)
=> y + 40 + x = 180
=> x + 40 + x = 180
=> 2x = 180 - 40
=> 2x = 140
x = 70°
Hence, Angle x and Angle y is 70 degree .
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I need help with this problem. please if you can?
Answer:
1. Sometimes True.
2. Sometimes True.
3. Always True.
Explanation:
Given the statements;
1.
A percent of a number is smaller than the original number.
Sometimes True.
When the percentage is less than 100% it will be less than the number which makes the statement true, while when the percentage is greater than or equal 100% then the number will be greater than or equal to the original number which makes the statement false.
2.
It saves you more money to have a coupon for an amount of money off instead of a percent off.
Sometimes True.
It depends on the amount of money off and the percent off. Either of them could save more money.
3.
An improper fraction written as a percent will be greater than 100%.
Always True.
when an improper fraction is written as a percentage it will always be greater than 100%
0.6 times 2.2 with 2 diffrent models
Answer:
0.6 x 2.2 = 1.32
2.2 x 0.6 = 1.32
Step-by-step explanation:
You just have to do 0.6 x 2.2 and flip it to get your second model.
Answer:
0.6 x 2.2 = 1.32
2.2 x 0.6 = 1.32
Step-by-step explanation:
the commutative property allows this to happen; flip the order in which the numbers fall
yw have a great day
Jennifer's family is going to see the Atlanta Symphony Orchestra. Tickets cost $79 each, and there is a $14.95 convenience fee for each ticket. If Jennifer's mom buys tickets for 6 people, how much money does she spend in all?
Answer:
563.7
Step-by-step explanation:
add 79 + 14.95 and multiply that by 6
8 - Arrange from LEAST to GREATEST without the use of a calculator
Given the numbers:
[tex]3^{\frac{1}{3}},\text{ }4^{\frac{1}{2}},\text{ }\sqrt[3]{9},\text{ 1}^8,\text{ \lparen-}\frac{1}{2})^{-2}[/tex]Let's arrange the numbers from the least to the greatest without the use of a calculator.
Now, let's first simplify each term.
We have:
[tex]\begin{gathered} 3^{\frac{1}{3}}=\sqrt[3]{3} \\ \\ 4^{\frac{1}{2}}=\sqrt{4}=2 \\ \\ \sqrt[3]{9} \\ \\ 1^8=1 \\ \\ -(\frac{1}{2})^{-2}=(-2)^2=4 \end{gathered}[/tex]Therefore, arranging the numbers from the least to the greatest, we have:
[tex]\begin{gathered} 1 \\ \\ \\ 3^{\frac{1}{3}} \\ \\ \\ 4^{\frac{1}{2}} \\ \\ \sqrt[3]{9} \\ \\ \\ (-\frac{1}{2})^{-2} \end{gathered}[/tex]A dozen muffins is 12 muffins. A recipe calls for 3/4 cup of almonds to make half a dozen muffins. Use a complex fraction to find how many cups of almonds are needed to make a dozen muffins.
1) Firstly, let's set a proportion to find out how mny cups of almonds are needed.
muffins cups of almonds
6 3/4
12 x
2)
Cross multiplying it:
6x = 12 * 3/4
6x = 9
x= 9/6
3
Tim measured a house and made a scale drawing. In real life, the hall closet is 6 feet long. It is 10 inches long in the drawing. What is the scale of the drawing?
Answer:
60
Step-by-step explanation:
prime or composite
number 1
67
67 is a prime number and 1 is neither prime nor composite number.
What is prime number and composite number?
A prime number is a number which has exactly two factors i.e. '1' and the number itself. A composite number has more than two factors, which means apart from getting divided by 1 and the number itself, it can also be divided by at least one positive integer.
The given two numbers are 1 and 67.
Since, the prime numbers from 1 to 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.
67 has exactly two factors i.e. 1 and the number 67 itself.
Therefore, 67 is a prime number.
Due to the fact that it only has one factor, 1, number is not a prime.
Hence, 67 is a prime number and 1 is neither prime number nor composite number.
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help me solve this
-7+3=?
-4Answer:
Step-by-step explanation:
Answer:
-7 + 3 = -4
Step-by-step explanation:
May I have Brainliest please? I am so close to getting my next ranking! I just need 2 more for it! I would really appreciate it, and it would make my day! Thank you so much, and have a wonderful rest of your day!
Hi this is the question that I have. I don’t know if the one that I have chose is right or not. Please help me
To answer this question we must carefully understand the scope of the numbers of the table.
* It represents the number of adults that listen to audiobooks or not. But not all adults, just the surveyed adults.
* Nothing is said about books, only about audiobooks.
Some of the choices are tricky. For example, second and fourth choices talk about books, so they must be discarded.
The third choice refers to all adults, but the table refers only to the 640 adults that were asked.
The first choice is the best question that can be answered using the table.
(It would be great if there were an explanation, I'm struggling to understand how this works.) Triangle FGH has vertices F(−4, 0), G(0, 4), and H(4, 0). A dilation, centered at the origin, is applied to this triangle. The image has vertices F′(−12, 0), G′(0, 12), and H′(12, 0).
What is the scale factor of this dilation?
Enter your answer in the box.
Nevermind, solved. The answer is 3 because if you multiply each of the original points by 3 you get the new points. Since I already put this question up, you can answer just for points.
A scale factor is defined as the ratio between the scale of a given original object and a new object.
The scale factor of this dilation is 3.
What is a scale factor?A scale factor is defined as the ratio between the scale of a given original object and a new object.
We have,
Triangle FGH has vertices:
F = (−4, 0)
G = (0, 4)
H = (4, 0).
The image of the triangle has vertices:
F′ = (−12, 0)
G′ = (0, 12)
H′ = (12, 0)
We see that,
Multiplying 3 on all the vertices of
F = (−4, 0)
G = (0, 4)
H = (4, 0)
we get,
F′ = (−12, 0)
G′ = (0, 12)
H′ = (12, 0)
This means,
A dilation with a scale factor of 3 is applied to the triangle.
Thus,
The scale factor of this dilation is 3.
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fluorescent powder comes in 20 G vials with 12 vials in a set, each vilal a different color. so if I order 3 sets I will have 3 viles of each colorI have 496 cups of paint to fillratio of powder to paint is one part powder to five part paint I know that 3 vials of powder which is 60g= 0.2536 cups. & .2536 cups ×5 parts paint= 1.268 cups of mixture. I got this from theBecks on hereknowing this how many sets of powder do I need to buy in order to us all my paint?
First you need to know how many cups of powder you are going to need for the 496 cups of paint you already have
[tex]\begin{gathered} 1\text{ CUP POWDER}\Rightarrow5\text{ CUP PAINT} \\ x\text{ CUP POWDER}\Rightarrow496\text{ CUP PAINT} \end{gathered}[/tex]We write this as a ratio
[tex]\begin{gathered} \frac{x}{496}=\frac{1}{5} \\ x=\frac{496}{5} \\ x=99.2 \end{gathered}[/tex]for the 496 cups of paint you will need 99.2 cups of powder.
Continue by seeing how may grams there are in 99.2 cups
[tex]\begin{gathered} 60g\Rightarrow0.2536\text{ CUPS POWDER} \\ x\Rightarrow99.2\text{ CUPS POWDER} \end{gathered}[/tex]write it as a ratio and solve for x again.
[tex]\begin{gathered} \frac{x}{99.2}=\frac{60}{0.2536} \\ x=23470.03155 \end{gathered}[/tex]now find how many vials you will need
[tex]\begin{gathered} 1\text{vial}\Rightarrow20g \\ x\Rightarrow23470.03155g \end{gathered}[/tex]write the ratio and solve
[tex]\begin{gathered} \frac{x}{23470.03155}=\frac{1}{20} \\ x=\frac{23470.03155}{20} \\ x=1173.5\approx1174 \end{gathered}[/tex]If each sets comes with 12 sets, write the ratio and find the number of sets you will need
[tex]\begin{gathered} 1\text{set}\Rightarrow12vials \\ \text{xsets}\Rightarrow1174vials \end{gathered}[/tex][tex]\begin{gathered} \frac{x}{1174}=\frac{1}{12} \\ x=\frac{1174}{12} \\ x=97.83\approx98 \end{gathered}[/tex]you will need 98 sets for this amount of paint.
a board of directors consists of ten men and five women. a four-member search committee is randomly chosen to recommend a new company president. what is the probability that all four members of the search committee will be women?
The probability of all four women being on the search committee as members in it is 1/273.
We have 15 people in total out of which there are 10 men and 5 women. We need four people on the committee out of these 15.
The probability of that happening can be calculated using the formula -
= Probability of all four women getting selected/Probability of all getting selected
= (5!/4!.1!) / (15!/4!11!)
= (5!/4!1!) * (4!11!/15!)
= (5*4*3*2*1) / (15*14*13*12)
= 1/273
From this, we know that if we need to have all four women as members of the search committee, the probability of that happening is 1/273.
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A store that sells cell phones has cell-phone covers in a variety of 6 colors and 6 designs. An employee will randomly choose a cell-phone cover to give to each customer who purchases a new cell
phone. Which simulation best models the outcomes of the possible cell-phone covers?
rolling two number cubes at the same time and recording the results
flipping a coin twice and recording the results
rolling a number cube and recording the results
rolling a number cube, flipping a coin, and recording the results
Answer: I am pretty sure that the answer is flipping a coin twice and recording the result
Step-by-step explanation: my reasoning is you can compare the results unlike the rest
help meeeeeeeeeeeeeee pleaseeeeeee
Answer: 2.5, 5.4
Step-by-step explanation:
[tex]-16t^2 +126t=213\\\\16t^2 -126t+213=0\\\\t =\frac{-(-126) \pm \sqrt{(-126)^2 -4(16)(213)}}{2(16)}\\\\t \approx 2.5, 5.4[/tex]
Which is the graph of f (x ) = x^3 + 2x^2 – 4x– 1?-(Notice the increments on the graph are by 2.)
We must identify which graph corresponds to the function:
[tex]f(x)=x^3+2x^2-4x-1.[/tex]1) The function f(x) is a polynomial of degree 3, so it has 3 roots, i.e. it must cross the x-axis in 3 places. Taking into account this fact, we know that the 1st and 3rd graphs cannot represent the function f(x).
2) Now, when x takes a very big value, the cubic term of the polynomial dominates, and f(x) > 0 for x → ∞. From the remaining options, we see that the 2nd takes f(x) < 0 for x → ∞, so we can discard that option. The remaining option is the 4th graph, so we conclude that that is the correct option.
Answer: 4th graph.
Can please help me here
Answer:B your correct
Step-by-step explanation:the x axis is the domain so if the point is directly on the y axis the x whould be zero so the answer is -1.5
help meeeeeeeeeeeeeee pleaseeeeeee
Answer: Width = 4.7 meters, Length = 6.7 meters
Step-by-step explanation:
Let the width be w. Then, the length is w+2.
[tex]w(w+2)=32\\\\w^2 +2w=32\\\\w^2 +2w-32=0\\ \\ w=\frac{-2 \pm \sqrt{2^2 -4(1)(-32)}}{2(1)}\\\\w \approx 4.7\\\\\implies w+2 \approx 6.7[/tex]
A stationary store sells large and small packages of greeting cards. Each large package contains h greeting cards. Each small package contains kgreeting cards, which is 4 less than the larger package. Express h in termsof k. *
In this case the answer is very simple. .
Step 01:
Data
large package = h cards
small package = k cards
Step 02:
large package - 4 = small package
h - 4 = k
h = k + 4
The answer is:
h = k + 4
Which of the following are equivalent to the function y = 3cOS X + 2? Check all that apply. A. y = 3cos(-x) + 2 B. y = -3cOS X-2 C. y = 3sin(x + 1) +2 + D. y = 3sin(x-7)+2
We need to plot the graphs of these functions on the same axis:
[tex]\begin{gathered} \text{From the graph, we s}e\text{ the function} \\ y\text{ = 3cosx + 2 has the same grap as } \\ y\text{ = 3sin(x + }\frac{\pi}{2})\text{ + 2} \\ \\ \text{Please note from angles in trigonometry:} \\ \sin \text{ (90 + }\theta)\text{ = cos }\theta \\ \cos x\text{ = sin (90 + x)} \end{gathered}[/tex]Hence, the correct option
[tex]y\text{ = 3sin(x + }\frac{\pi}{2})\text{ + 2 (option }C)[/tex]PAINTINGS Julio is selling paintings that he made. He sells each painting for $25, and he spent $200 on supplies to make the paintings. The function m=25p−200 represents the profit m that Julio earns after selling p paintings. Find the zero of the function. Describe what this value means in the context of the situation.
The zero of the function m = 25p - 200 is, p = 8 represents her break even.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, He sells each painting for $25, and he spent $200 on supplies to make the paintings.
The function m = 25p - 200 represents the profit m that Julio earns after selling p paintings.
The zeroes of the function is when she break even,
At p = 8 means after selling 8 paintings she will have break even as,
m = 25(8) - 200.
m = 200 - 200.
m = 0.
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