Answer:
9a+12
Step-by-step explanation:
The perimeter is the sum of the side lengths, so is ...
6a + a + 4 + 8 + 2a
= a(6 +1 +2) + (4 +8)
= 9a +12
Use the figure. Identify a segment that intersects Ef.
Answer:
[tex]\overline{FG}[/tex]
Step-by-step explanation:
When two line segments intersects, then they have a common point.
From the diagram FG intersects EF
Also HG intersects EF
From the given options, the correct answer is [tex]\overline{FG}[/tex]
Therefore the first choice is correct
Help! Rewrite the expression using the LCD
Answer:
1st one is A
2nd is B
EDGE
A semi-truck can hold 8,500 pounds of cargo. How many tons can it hold?
Answer:4.25 tons
Step-by-step explanation:
Does 5 go into 100 equally
There will be 25 party guests. 8
pieces of pizza dough come in a
package. How many packages do
I need to buy?
What is the solution to this polynomial equation? x3 + 2x2 - 4x - 8 = 0
Final answer:
The solution to the polynomial equation x³ + 2x² - 4x - 8 = 0 can be found by factoring, which yields the solutions x = -2 and x = 2.
Explanation:
The solution to the polynomial equation x³ + 2x² - 4x - 8 = 0 can be found by factoring, using synthetic division, or by using numerical methods such as graphing or using a calculator. Let's use factoring to find the solution.
We can begin by factoring out the greatest common factor, which is 1:
x³ + 2x² - 4x - 8 = (x + 2)(x² - 4)
We can further factor the quadratic term using the difference of squares:
(x + 2)(x + 2)(x - 2) = 0
So, the solutions to the equation are x = -2 and x = 2.
Helpp Image attached
The area of new circle is 5625π square inches.
Step-by-step explanation:
Given,
Area of circular plate = 625π square inches
Let,
Radius = r
Area of circular plate = πr²
[tex]\pi r^2=625\pi[/tex]
Dividing both sides by π
[tex]\frac{\pi r^2}{\pi}=\frac{625\pi}{\pi}\\\\r^2=625[/tex]
Taking square root on both sides
[tex]\sqrt{r^2}=\sqrt{625}\\r=25[/tex]
The radius of plate is 25 inches.
When the radius is tripled = 25*3 = 75 inches
New area of circle = πr²
New area of circle = [tex]\pi (75)^2\\[/tex]
New area of circle = [tex]5625\pi[/tex] square inches
The area of new circle is 5625π square inches.
Keywords: circle, area
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Mario says that the expression 4+3n² has four terms: 4, 3, n, and 2. Is he correct? explain.
_______________________________________________________________________________________________________________________________________
Mario says that the expression [tex]4+3n^2[/tex] has four terms: 4, 3, n, and 2. Mario is incorrect
Solution:
Given that the expression is:
[tex]4+3n^2[/tex]
Given that, Mario says that the above expression has four terms
But Mraio is incorrect
Because the given expression has two terms only
4 is one of the term
[tex]3n^2[/tex] is another term
So there are totally 2 terms only
A term can be a signed number, a variable, or a constant multiplied by a variable or variables
Here 3 is a constant multiplied by [tex]n^2[/tex]
So, [tex]3n^2[/tex] is one term
Each term in an algebraic expression is separated by a + sign or - sign
Thus there are two terms in mario expression
what ordered pair is a solution for y-4=7(x-6)
Answer: People don't get confused by this guy the answer is basically clear its neither trust me guys.
what is y+7= -1/2 (x-6)
Answer:
Step-by-step explanation:
y + 7 = -1/2(x - 6)
y + 7 = -0.5x +3
y = -0.5x - 4
Answer:
y=-1/2x-4
Step-by-step explanation:
first distribute the -1/2 into both terms in the parentheses. next solve for y by subtracting 7 from both sides. combine like terms
chevy have some yarn that he wants to use to make hats and scarves. each hat uses 0.2 kilograms of yarn and each scarf uses 0.1 kilograms of yarn. chevy wants to make a total of 15 items. let h be the number of hats chevy makes and s be number of scarves he makes.
Answer:
[tex]The\ following\ system\ of\ equations\ gives\ number\ of\ hats\ and\ scarves\\\\h+s=15\\\\0.2h+0.1s=k\\\\Where\ k\ is\ total\ yarn\ in\ kg.\\\\If\ k=2\ kg\\\\h=5\ hats,\ s=10\ scarves[/tex]
Step-by-step explanation:
[tex]Number\ of\ hats=h\\\\Number\ of\ scarves=s[/tex]
Total Number of items:
[tex]Total\ items=15\\\\Total\ number\ of\ items=Number\ of\ hats+Number\ of\ scarves\\\\Total\ Number\ of\ items=h+s\\\\h+s=15.......................................eq(1)[/tex]
Total yarn used:
[tex]Yarn\ used\ in\ 1\ hat=0.2\ kg\\\\Yarn\ used\ in 1\ scarf=0.1\ kg\\\\Yarn\ used\ in\ hats=Yarn\ used\ in\ 1\ hat\times Number\ of\ hats\\\\Yarn\ used\ in\ hats=0.2\times h=0.2h\\\\Yarn\ used\ in\ scarves=Yarn\ used\ in\ 1\ scarf\times Number\ of\ scarves\\\\Yarn\ used\ in\ hats=0.1\times s=0.1s\\\\Total\ yarn\ used=0.2h+0.1s\\\\If\ total\ yarn=k\ kg\\\\Solution\ of\ following\ system\ of\ equations\ gives\ number\ of\ hats\ and\ scarves\\\\h+s=15\\\\0.2h+0.1s=k[/tex]
[tex]if\ k=2\\\\h+s=15...............eq(2)\\\\0.2h+0.1s=2.......eq(3)\\\\eq(2)-0.2\times eq(3)\\\\0.1s=1\\\\s=10\\\\From\ eq(2)\\\\h=15-s\\\\h=5\ hats[/tex]
I'm solving for x, but I'm not confident with my work. I feel like x should be smaller than the other side (121) but I got a result much larger than it. Can someone help?
You have the ratios set up but you need to cross multiply everything:
(5x + 10) x 11 = 121 x 10
55x + 110 = 1210
Subtract 110 from both sides:
55x = 1100
Divide both sides by 55:
X = 1100 / 55
X = 20
The theoretical probability of choosing a red grape from a
bag of grapes is 2/9. There are 8 red grapes in the bag. How
many grapes are in the bag?
Answer:36
Step-by-step explanation: if 2 out of 9 or red and there are 8 red that means that divide 8 by to get 4 * 9 + 36
By using the theoretical probability formula, the total number of grapes in the bag is 36
ProbabilityFrom the question, we are to determine how many grapes are in the bag
Let the total number of grapes in the bag be x
From the probability formula,
[tex]P(A) = \frac{Number\ of\ favorable \ outcomes \ to \ A }{Total\ number\ of\ possible\ outcomes}[/tex]
Let R represent red grapes,
Then,
[tex]P(R) = \frac{Number\ of\ favorable \ outcomes \ to \ R }{Total\ number\ of\ possible\ outcomes}[/tex]
From the given information,
P(R) = 2/9
Number of favorable outcomes to R = 8
Therefore,
[tex]\frac{2}{9} = \frac{8}{x}[/tex]
2x = 9 × 8
2x = 72
x = 72 / 2
x = 36
Hence, the total number of grapes in the bag is 36.
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Omar made $299 for 13 hours of work.
At the same rate, how many hours would he have to work to make $253?
Answer:
The answer is (11 hours)
Step-by-step explanation:
I first divided 299 by 13 hours to find the rate.
I got the dividend of 23.
All you do now is add $23 per hour.
Once you add 11 hours of this rate. You'll get the sum of $253.
Solving for the amount of hours by cross multiplication
money/hours=money/hours
$299/13hours=$253/x hours
[tex]\frac{299}{13} =\frac{253}{x} \\\\23=\frac{253}{x} \\\\23x=253\\\\x=253/23\\\\x=11[/tex]
Hope this helps, HAVE A BLESSED AND WONDERFUL DAY! I also hope you had a great Superbowl Weekend! :-)
- Cutiepatutie ☺❀❤
is 0.02 greater that 1/50
Answer:
No and yes.
Step-by-step explanation:
Turn both to percentages. Move the decimal point over two spots to the right, making 2%. Multiply the fraction by 2 to get 2/100. PerCENT. A dollar is 100 cents. The fraction as a percentage is 2%. They are equal.
Yes, 0.02 is greater than [tex]\( \frac{1}{50} \)[/tex].
Explanation:
0.02 can be represented as [tex]\( \frac{2}{100} \)[/tex], which simplifies to [tex]\( \frac{1}{50} \)[/tex].
Since [tex]\( \frac{2}{100} \)[/tex] is greater than [tex]\( \frac{1}{50} \)[/tex], it follows that 0.02 is greater than [tex]\( \frac{1}{50} \)[/tex].
Step-by-step explanation:
1. Convert 0.02 to a fraction: [tex]\( 0.02 = \frac{2}{100} \)[/tex].
2. Compare [tex]\( \frac{2}{100} \)[/tex] with [tex]\( \frac{1}{50} \)[/tex].
3. Simplify [tex]\( \frac{2}{100} \) to \( \frac{1}{50} \)[/tex].
4. Since [tex]\( \frac{1}{50} \)[/tex] is smaller than [tex]\( \frac{1}{50} \)[/tex], we conclude that 0.02 is greater than [tex]\( \frac{1}{50} \)[/tex].
On a coordinate plane, is translated 3 units up and 3 units to the right to create Line p is drawn through P and and Line q is drawn through Q and Which statement about Lines p and q is true?
Lines p and q are parallel.
Lines p and q are perpendicular.
Lines p and q have the same x-intercept.
Lines p and q have the same y-intercept.
Answer:
Lines p and q are parallel
Step-by-step explanation:
1) Completing the question:
On a coordinate plane, is translated 3 units up and 3 units to the right to create ′′. Line p is drawn through and ’, and Line is drawn through and ’. Which statement about Lines and is true?
2)
If PQ (x, y) according to that rule then P'Q' (x+3, y+3). So let's plot to answer the question. Setting numbers for,x and y.
3) As you can see below, since we add 3 units to the right and 3 units up then no x-coordinate must be the same, no y-coordinate must remain the same. In addition, p and q won't have the same intercept, neither x nor y.
What is the product of 1/2×32
Answer:
The product of 1/2*32 is taking 32/2
Half of 32 is 16
Product of 1/2*32=16
Hope this helps ;)
Answer:
16
Step-by-step explanation:
when you multiply buy a fraction you will end up with half of the one of the things you were multiplying this means that half of 32 is 16 so 16 is your answer if you need help on understanding how to multiply fractions think of it like this
1/2 x 32= 32 divided by 2
both ways will give you the same answer
hope this helps better your understanding
8 plus 4 times a number is greater than 5 times the number
Answer:
x<8
Step-by-step explanation:
4x+8>5x
8>5x-4x
8>x
For the function f(x) = 3(x - 1)2 + 2, identify the vertex, domain, and range. (2 points)
1) The vertex is (1, 2), the domain is all real numbers, and the range is y > 2.
2) The vertex is (1, 2), the domain is all real numbers, and the range is y s 2.
O3) The vertex is (-1, 2), the domain is all real numbers, and the range is y 2 2.
4) The vertex is (-1, 2), the domain is all real numbers, and the range is y s 2.
Answer:
2) The vertex is (1, 2), the domain is all real numbers, and the range is y ≥ 2.
Step-by-step explanation:
Look at the photo below for the graph.
:)
Find the value of the expression 21 - 2a if a = 3
Answer:
15
Step-by-step explanation:
Substitute in the values
2 X 3 = 6
21 - 6 =15
To find the value of 21 - 2a when a = 3, substitute 3 for a and simplify to get 21 - 6, which equals 15.
Explanation:The student has asked to find the value of the expression 21 - 2a given that a = 3. To solve for the expression, substitute the value of a into the expression:
21 - 2(3) = 21 - 6 = 15.
Therefore, the value of the expression when a is 3 is 15.
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Please help. There is a file included.
Answer:
0
Step-by-step explanation:
8 + - 4 - 4
(goes in the 2nd box)
0
(goes in the last empty box)
Which statement describes the congruent triangles?
Triangles W Z X and Z Y X. Sides W Z and X Y are congruent, sides Z Y and W X are congruent, and sides Z X are congruent.
Triangle W X Z is congruent to triangle Y Z X
Triangle W X Z is congruent to triangle Y X Z
Triangle W X Z is congruent to triangle X Y Z
Triangle W X Z is congruent to triangle Z Y X
Answer:
Triangle W X Z is congruent to triangle Z Y X
Step-by-step explanation:
2 triangles are said to be congruent when all the corresponding sides of the angle and the interior angles are congruent .The two triangle are said to be the mirror image of each other.In the simple case above the two triangles WXZ and ZYX are congruent because every corresponding side has the same length, and every corresponding angle has the same measure.
Answer:
its acctually Triangle W X Z is congruent to triangle Y Z X
Step-by-step explanation:
The perimeter of the triangular park on the right is 16x-6. What is the missing length? The bottom side length is 5x+4 and the right most side is 2x-5
Answer:
[tex](9x-5)\ units[/tex]
Step-by-step explanation:
The picture of the question in the attached figure
we know that
The perimeter of a triangle is the sum of the length of their three sides
so
[tex]P=a+b+c[/tex]
where
a,b,c are the length sides of the triangle
In this problem we have
[tex]P=(16x-6)\ units\\a=(2x-5)\ units\\b=(5x+4)\ units[/tex]
substitute and solve for the missing length
[tex](16x-6)=(2x-5)+(5x+4)+c\\c=(16x-6)-(2x-5)-(5x+4)\\c=(9x-5)\ units[/tex]
The function f(x) = 2x + 210 represents the number of calories burned when exercising, where x is the number of hours
spent exercising.
The function g(x) = 2x + 125 represents the calorie deficit that occurs when following a particular diet, where x is the
number of hours spent exercising.
What is (f + g)(2)? Explain.
A. 214 burned just exercise 2 hours
B. 214 burned exercise and
diet 2 hours
C. 343 burned dieting 2 hours
D. 343 burned exercise and diet 2 hours.
The true statement about (f + g)(2) is (D). 343 burned exercise and diet 2 hours.
The functions are given as:
f(x) = 2x+ 210
g(x) =2x + 125
Start by calculating (f + g)(x) using:
(f + g)(x) = f(x) + g(x)
So, we have:
[tex](f + g)(x) = 2x + 210 + 2x + 125[/tex]
This gives
[tex](f + g)(x) = 4x + 335[/tex]
When x = 2, we have:
[tex](f + g)(x) = 4*2 + 335[/tex]
[tex](f + g)(x) = 343[/tex]
This means that 343 calories were burned by exercising and dieting for 2 hours
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A circle with radius of 6 cm sits inside a circle with radius of 9 cm.
What is the area of the shaded region?
Round your final answer to the nearest hundredth.
Answer:
Equation for the area of a circle- π r²
The 2 radiuses are 6 and 9.
6 squared is 36 and 9 squared is 81.
The smaller one is 36π and the larger one is 81π.
The difference between them is the area of the shaded region.
81π - 36π = 45π
Use 3.14 for π.
45 x 3.14 = 141.3 u²
Hope this helps!
A circle is a curve sketched out by a point moving in a plane. The area of the shaded region is equal to 141.37 cm²
What is a circle?A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.
The area of the shaded region can be found by subtracting the area of the larger circle from the area of the smaller circle. Therefore, the area of the shaded region is,
Area = π(9 cm)² - π(6 cm)²
= 141.37 cm²
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I need help on this:(
Answer:
Not to sure if this is correct but I think it is 6: 1 : 18
pls msg me if you need explanation
show work please~
there are 3 1/3 red cups of paint for every 1 1/3 cups of blue paint
for every 1 cup of blue paint, ___ cups of red paint are needed
for every 1 cup of red paint, ___ cup of blue paint is needed
for every 4 cups of red paint,___ cups of blue paint are needed
For every 1 cup of blue paint, [tex]\frac{10}{4}[/tex] cups of red paint are needed
For every 1 cup of red paint, [tex]\frac{4}{10}[/tex] cup of blue paint is needed
For every 4 cups of red paint, [tex]\frac{16}{10}[/tex] cups of blue paint are needed
Solution:
Given that, there are 3 1/3 red cups of paint for every 1 1/3 cups of blue paint
Therefore, ratio is
[tex]Red : blue = 3\frac{1}{3} : 1\frac{1}{3}\\\\Red : blue = \frac{10}{3} : \frac{4}{3}[/tex]
For every 1 cup of blue paint, ___ cups of red paint are neededLet "x" be the cups of red paint needed
Then we get,
[tex]\frac{10}{3} : \frac{4}{3}\\\\x : 1[/tex]
This forms a proportion
[tex]1 \times \frac{10}{3} = \frac{4}{3} \times x\\\\x = \frac{10}{4}[/tex]
Therefore, 10/4 cups of red are needed for 1 cup of blue
For every 1 cup of red paint, ___ cup of blue paint is neededLet "x" be the cups of blue paint needed
Then, we get
[tex]\frac{10}{3} : \frac{4}{3}\\\\1 : x[/tex]
This forms a proportion
[tex]\frac{10}{3} \times x = \frac{4}{3} \times 1\\\\x = \frac{4}{10}[/tex]
Thus, 4/10 cups of blue are needed for 1 cup of red paint
For every 4 cups of red paint,___ cups of blue paint are neededLet "x" be the cups of blue paint needed
Then, we get
[tex]\frac{10}{3} : \frac{4}{3}\\\\4 : x[/tex]
This forms a proportion
[tex]\frac{10}{3} \times x = \frac{4}{3} \times 4\\\\x = \frac{16}{10}[/tex]
Thus 16/10 cups of blue paint are needed for every 4 cups of red paint
The ratio of red paint to blue paint is 5:2. Therefore, for every 1 cup of blue paint, 2.5 cups of red paint are needed, for every 1 cup of red paint, 0.4 cup of blue paint is needed and for every 4 cups of red paint, 1.6 cups of blue paint are needed.
Explanation:The initial statement tells us that the ratio of red paint to blue paint needed is 3 1/3:1 1/3. Converting these mixed numbers into improper fractions, that ratio transforms to 10/3:4/3, which simplifies further to 5:2.
So, if you reduce it down:
For every 1 cup of blue paint, 5/2 or 2.5 cups of red paint are needed.For every 1 cup of red paint, 2/5 or 0.4 cup of blue paint is needed.For every 4 cups of red paint, 4*(2/5) or 1.6 cups of blue paint are needed.Learn more about Ratios here:https://brainly.com/question/32531170
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Which line is the graph of y = -2x + 2?
line a
line b
line c
line d
Answer:
The Answer is Line B
Step-by-step explanation:
the points that make up the graph is ( 0,2) and (1,0)
Answer:
Line B
Step-by-step explanation:
what does AE equal?
Answer:
70
Step-by-step explanation:
BD is 1/2 the size of AE which is derived from the property of midpoints and the parallel lines.
Therefore if BD = 35, AE is twice as long.
AE = 70
Solve the equation. Write solutions using integers or simplified fractions. 5−(y−3)=14−4(y+2)
of course the answer is Y=. - 2/3
Answer:
-2/3
Step-by-step explanation:
5 − (y−3)=14− 4 (y+2)
Expand
5 - y + 3 = 14 - 4y - 8
Collect like terms
-y + 4y = 14 - 8 - 5 -3
(-1 + 4)y = - 2
3y = -2
Divide both sides by 3
3y/3 = -2/3
y = -2/3
I hope this was helpful, Please mark as brainliest