Answer:
1 1/5
Step-by-step explanation:
First, make 3 a fraction by putting it over one. Then multiply the numerators (top) together and the denominators (bottom) together.
3/1 x 2/5 = 6/5
Now reduce by dividing 6 by 5 and you get 1 1/5.
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{3\times\dfrac{2}{5}}\\\\\mathsf{= \dfrac{3}{1}\times\dfrac{2}{5}}\\\\\mathsf{= \dfrac{3\times2}{1\times5}}\\\\\mathsf{= \dfrac{6}{5}}\\\\\mathsf{= 1 \dfrac{1}{5}}\\\\\huge\text{Thus, your answer should be: \boxed{\mathsf{\dfrac{6}{5} \ or \ 1 \dfrac{1}{5}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
21. You and your sister have been saving and decide to buy a PlayStation 5 together. You need $500 to buy the PlayStation. Together you have $850 saved up. Since you have more money, you contribute 50% of your savings and your sister contributes 75% of hers toward the $500 cost. How much do each of you have saved individually?
Answer:
I have $550; my sister has $300.
Step-by-step explanation:
Let the amount I have be x.
Let the amount my sister has be y.
We have a total of $850, so
x + y = 850
50% of my amount plus 75% of my sister's amount equals $500.
0.5x + 0.75y = 500
We have a system of two equations:
x + y = 850
0.5x + 0.75y = 500
Multiply the second equation by 2 and subtract the first equation from it.
0.5y = 150
y = 300
x + y = 850
x + 300 = 850
x = 550
Answer: I have $550; my sister has $300.
cosA/secA+sinA/cosecA=1
Step-by-step explanation:
please mark me as brainlest
Which of these four sets of side lengths will form a right trangle?
Set 1
4 cm 5 cm 6 cm
Set 3
10 mm 20 mm 30 mm
O Set 1
O Set 2
O Set 3
O Set 4
Set 2
8 in, 12 in 20 in
Set 4
12 R 16 R 20 R
answer:
set 4
Step-by-step explanation:
because when you divide the numbers 12,16 and 20 by 2 you'll get 6,8 and 10 which is a Pythagoras family....and it will form a right angle triangle
Multiply (5z + 6)(2z + 1)(2z - 1)
Pls help and explain WELL ty
Answer:
[tex]\huge\boxed{\sf 20z\³ + 24z\² - 5z - 6}[/tex]
Step-by-step explanation:
Given expression:= (5z + 6)(2z + 1)(2x - 1)
Using formula (a + b)(a - b) = a² - b²= (5z + 6)[(2z)² - (1)²]
= (5z + 6)(4z² - 1)
Distributing
= 5z (4z² - 1) + 6(4z² - 1)
= 20z³ - 5z + 24z² - 6
Arrange
= 20z³ + 24z² - 5z - 6
[tex]\rule[225]{225}{2}[/tex]
find the five ratoinal numbers between -2/3 and -1
Answer:
-31/30, -32/30, -33/30, -45/30, -49/30.
Step-by-step explanation:
-2/3 and -1 make denominators 30
-60/30 and -30/30
put any five
A pair of parallel lines is cut by a transversal:
A pair of parallel lines cut by a transversal is shown. The inside bottom right angle is labeled 85 degrees. The alternate interior angle is cut by a ray and is labeled as x on one side and 25 degrees on the other.
What is the measure of angle x?
50 degrees
55 degrees
60 degrees
80 degrees
Answer:
60
Step-by-step explanation:
1. parallel angle = 85
2. 180 - 85 = 95
3. 180 - (95+25) = 60
Solve: |2x − 1| < 11.
STEP 1 : Rearrange this Absolute Value Inequality
Absolute value inequalitiy entered
|2x-1| < 11
STEP 2 : Clear the Absolute Value Bars
Clear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.
The Absolute Value term is |2x-1|
For the Negative case we'll use -(2x-1)
For the Positive case we'll use (2x-1)
STEP 3 : Solve the Negative Case
-(2x-1) < 11
Multiply
-2x+1 < 11
Rearrange and Add up
-2x < 10
Divide both sides by 2
-x < 5
Multiply both sides by (-1)
Remember to flip the inequality sign
x > -5
Which is the solution for the Negative Case
STEP 4 : Solve the Positive Case
(2x-1) < 11
Rearrange and Add up
2x < 12
Divide both sides by 2
x < 6
Which is the solution for the Positive Case
STEP 5 : Wrap up the solution
-5 < x < 6
Solution in Interval Notation
(-5,6) .
Rita needs to make a total of 60 deliveries this week. So far she has completed 27 of them. What percentage of her total deliveries has Rita completed?
Answer:
35
Step-by-step explanation:
Percent= (part ÷ whole)x100=21/60x100=(0.35)x100=35%
The lengths represented by BE, EC, and CD on the diagram were determined to be 1800 feet, 200 feet, and 500 feet,
What is the length, in feet, across the lake?
Fill in the blank by entering only a number as your answer.
The length of lake is 4500 feet.
What is Triangle?A triangle is a closed shape with 3 angles, 3 sides, and 3 vertices. A triangle with three vertices P, Q, and R is represented as △PQR.
Here, In ΔABE and ΔDCE
∠ABE = ∠DCE { each 90⁰ }
∠AEB = ∠CED { vertically opposite angle}
By AA similarity, we get
ΔABE ≈ ΔDCE
Now, AB/CD = BE/CE
AB/500 = 1800/200
AB/500 = 9
AB = 9 X 500
AB = 4500 feet.
Thus, the length of lake is 4500 feet.
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help me, thankyouuu sm!!
2. Find the value of supplementary angle of y for each polygon.
3. Calculate the sum of the exterior angles for the triangle. Then, compare with the sum of exterior angles of pentagon.
4. Derive a formula to obtain the value of interior angle of a regular n-sided polygon without calculating the value of it’s interior angle
A polygon is a planar figure characterized by a limited number of straight-line segments joined to create a closed polygonal chain in geometry.
What is a polygon?A polygon is a planar figure characterized by a limited number of straight-line segments joined to create a closed polygonal chain in geometry. A polygon is defined as a bounded planar region, a bounding circuit, or both.
2. Find the value of the supplementary angle of y for each polygon.
A.) For an isosceles triangle, using the base angle theorem we can write that the measure of the angle opposite to the congruent side will be equal. Therefore, the sum of the angles of the triangle can be written as,
y + y + 26° = 180°
2y = 154°
y = 77°
B.) The sum of the interior angles of a regular polygon is given as (n-2)180°, where n is the number of sides, also for a regular polygon the measure of each interior angle is equal. Since in a pentagon the number of sides is 5. Therefore, the measure of an interior angle can be written as,
y = [(n-2)180°]/n
y = [(5-2)180°]/5
y = 108°
3. The sum of the exterior angle of all the polygons is equal to 360°. Therefore, the sum of the exterior angles of the triangle and the pentagon will be the same, 360°
4. The formula to find the sum of the interior angles of a polygon, we can use the formula.
Sum of interior angles of an n-sided polygon = (n-2)180°
Where n is the number of sides.
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PLEASE HELP!!!!! ASAP
[tex]\text{Let's factor this quadratic.}\\\text{ We can start by thinking of two numbers such that,}\\\text{ if they are multiplied together, the product is 9}\\\text{if they're added together, the sum is -10, the middle term.}[/tex]
[tex]\rule{300}{1.7}[/tex]
[tex]\text{These numbers are -9 and -1.}\\\text{Checkup::}\\\text{-9*(-1)=9 and -9+(-1)=-10. The answer is good}[/tex]
[tex]\rule{300}{1.7}[/tex]
[tex]\text{Now, write these numbers as factors::}\\\text{(x-9)(x-1)=0 (make sure that the equation is \textbf{set to zero})}[/tex]
[tex]\rule{300}{1.7}[/tex]
[tex]\text{Now we can solve these mini equations in terms of x::}\\\text{x-9=0; \, x=9}\\\text{x-1=0; x=1}[/tex]
[tex]\rule{300}{1.7}[/tex]
[tex]\text{Our factors are:: \textsl{9 and 1}}[/tex]
Answer:
x=1
Step-by-step explanation:
On a coordinate plane, a right triangle has points A (negative 5, negative 6), B (negative 5, negative 2), C (negative 2, negative 2).
Examine the right triangle ABC. Which rise and run would create a similar right triangle on the same line?
a rise of 6 and a run of 8
a rise of 8 and a run of 6
a rise of 6 and a run of 5
a rise of 5 and a run of 6
A rise of 8 and a run of 6. Then the correct option is B.
What is a coordinate geometry?Coordinate geometry is the study of geometry using the points in space.
On a coordinate plane, a right triangle has points A (-5, -6), B (-5, -2), and C (-2, -2).
The distance between AB will be
AB² = (-5 + 5)² + (-2 + 4)²
AB² = 4²
AB = 4
The distance between BC will be
BC² = (-2 + 5)² + (-2 + 2)²
BC² = 3²
BC = 3
Then the rise and run will be
rise / run = 4 / 3
Then this can be written as
rise / run = 8 / 6
Then the correct option is B.
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TIME REMAINING
57:11
Solve the equation for a.
K = 4a + 9ab
a = K(4 + 9b)
a = 4(K + 9b)
a = a equals StartFraction 4 plus 9 b Over K EndFraction equals h.
a = a equals StartFraction K Over 4 plus 9 b EndFraction equals h.
An equation is formed of two equal expressions. The given equation can be solved for 'a' as a = K/(4+9b). Thus, the correct option is D.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The given equation, K = 4a + 9ab can be solved for a as shown below,
K = 4a + 9ab
K = a(4+9b)
a = K/(4+9b)
Hence, the given equation can be solved for 'a' as a = K/(4+9b). Thus, the correct option is D.
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Which of the following equations is equivalent to 2x – 4 = 6?
Answer:
c.) -3x + 6 = -9
Original question answer:
2x - 4 = 6
2x = 6 + 4
2x = 10
x = 10/2 = 5
===========
a) 5x - 6 = -11
5x = -11 + 6
5x = -5
x = -1
b) -4x - 2 = 10
-4x = 10 + 2
-4x = 12
x = 12/-4 = -3
c) -3x + 6 = -9
-3x = -9 - 6
-3x = -15
x = -15/-3 = 5
d) 2x + 3 = 7
2x = 7 - 3
2x = 4
x = 4/2 = 2
Answer:
C.) -3x + 6 = -9Step-by-step explanation:
2x - 4 = 6 |add 4 to both sides
2x = 10 |divide both sides by 2
x = 5
a)
5x - 6 = -11 |add 6 to both sides
5x = -5 |divide both sides by 5
x = -1 ≠ 5
b)
-4x - 2 = 10 |add 2 to both sides
-4x = 12 |divide both sides by (-4)
x = -3 ≠ 5
c)
-3x + 6 = -9 |subtract 6 from both sides
-3x = -15 |divide both sides by (-3)
x = 5 √
d)
2x + 3 = 7 |subtract 3 from both sides
2x = 4 |divide both sides by 2
x = 2 ≠ 5
can someone help me?
Answer:
think of each T in the original equation as an empty box, like this:
P( ) = 2( )² + ( ) - 7
when it says p(some number), it means replace all Ts in the equation with that number.
P( 0 ) = 2( 0 )² + ( 0 ) - 7 = 0 + 0 - 7 = -7
do the same for the rest <:)
for the second part, it's the same concept: every T is replaced with what's inside the parentheses.
so P( -t ) = 2( -t )² + ( -t ) - 7 = 2t² - t - 7
and so on and so forth.
Which number is in the solution set of the inequality -5x - 7 > 28?
Hello!
Answer:
[tex]\Large \boxed{\sf A. -7}[/tex]
Step-by-step explanation:
We have this inequality:
[tex]\sf -5x - 7 \geq 28[/tex]
Let's solve this inequality:
◼ Add 7 to both sides:
[tex]\sf -5x - 7+7 \geq 28+7[/tex]
◼ Simplify both sides:
[tex]\sf -5x \geq 35[/tex]
◼ Divide both sides by -5, so also change the sign of the inequality
[tex]\sf \dfrac{-5x}{-5} \leq \dfrac{35}{-5}[/tex]
◼ Simplify both sides:
[tex]\boxed{\sf x \leq -7}[/tex]
So the correct answer is A. -7
Convert the following common fractions to decimals. Round to three decimal places if necessary. You may use a
calculator. 3/4
1. 0.75
2. 3.4
3. 0.34
4. 7.5
A
D
4
324
OX+0
+
54324
-2
-3
&
B
h
23
X
Which rule describes the x-coordinates in the translation?
A
27
image
Answer:
x + 6
Step-by-step explanation:
consider the x- coordinates of the right angle
x- coordinate of A = - 4
x- coordinate of B = 2
then
| 2 - (- 4) | = | 2 + 4 | = | 6 | = 6
the x- coordinate has been shifted 6 units to the right , so the rule is
x + 6
Linda needs 2/5 of an ounce of salt to make 1 cup of dip for her fries. How many cups of dip will she be able to make if she has 40 ounces of salt?
Step-by-step explanation:
2/5 oz. for 1 cup
40 oz for x cups
2/5x = 40
x = 100 cups
Find the expected value of the winnings
from a game that has the following
payout probability distribution:
Payout ($) 2
4 6 8 10
Probability 0.5 0.2 0.15 0.1 0.05
Expected Value = [?]
Round to the nearest hundredth.
Enter
The expected value of the winnings from the game is $4
How to determine the expected value?The payout probability distribution is given as:
Payout ($) 2 4 6 8 10
Probability 0.5 0.2 0.15 0.1 0.05
The expected value is then calculated as:
[tex]E(x) = \sum x * P(x)[/tex]
This gives
E(x) = 2 * 0.5 + 4 * 0.2 + 6 * 0.15 + 8 * 0.1 + 10 * 0.05
Evaluate the expression
E(x) = 4
Hence, the expected value of the winnings from the game is $4
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Simplify this expression.
[tex]\\\\(\sqrt{2} + \sqrt{3})(\sqrt{5} - \sqrt{7} \\A: \sqrt{5} + \sqrt{-2} \\B: \sqrt{10} + \sqrt{15} - \sqrt{14} - \sqrt{21} \\C: 2\sqrt{5} - 2\sqrt{7} \\D: 2\sqrt{5} + 3\sqrt{5} - 2\sqrt{7} - 3\sqrt{7}[/tex]
By applying algebra, radical and power properties, we find that the simplified form of (√2 + √3) · (√5 - √7) is equal to √10 + √15 - √14 - √21. (Correct choice: B)
How to simplify a product of two binomials with radical numbers
Herein we need to apply algebra and radical and power properties to simplify the expression described in the statement, whose procedure is shown below:
(√2 + √3) · (√5 - √7) Given(√2 + √3) · √5 + (√2 + √3) · (- √7) Distributive property√2 · √5 + √3 · √5 + √2 · (- √7) + √3 · (- √7) Distributive property√10 + √15 - √14 - √21 (- a) · b = - a · b/ √a · √b = √a · b/ResultBy applying algebra, radical and power properties, we find that the simplified form of (√2 + √3) · (√5 - √7) is equal to √10 + √15 - √14 - √21. (Correct choice: B)
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Answer:
B is correct
Step-by-step explanation:
Cus I said so
Expression -2(x + 4)
Sentence
Symbol
operation
Answer:
c
Step-by-step explanation:
Which statement accurately describes the movement of an object under a translation vector (-3)? The object moves 2 units down and then 3 units The object moves 2 units to the right and then 3 units down. The object moves 2 units up and then 3 units to the left. D. The object moves 2 units to the left and then 3 units up. A. C.
The object moves 2 units to the left and then 3 units up.
Translation of vectorsTranslation is a transformation technique used to change the position of an object on the xy-plane.
Given the translation vector (-2, 3), this translation shows a movement of an object to the left by 2units and 3 units in the upward direction
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As seen in the diagram below, Hawa is building a walkway with a width of a feet to go
around a swimming pool that measures 19 feet by 6 feet. If the total area of the pool
and the walkway will be 770 square feet, how wide should the walkway be?
Answer:
8 feet
Step-by-step explanation:
you have to calculate :(19+2x)(6+2x)=770
you will get X1=8,X2= negetive some value but measurement cant be negative .if you put X=8 you'll find LHS=RHS
Answer:
[tex]x= \frac{-25}{4}+\frac{1}{4} \sqrt{3705}[/tex] or [tex]x= \frac{-25}{4} + \frac{-1}{4}\sqrt{3705}[/tex]
Step-by-step explanation:
So first you need to find the area of the swimming pool:
19*6 = 114
Next you add the area of the swimming pool and the area of the walkway:
114 + 770 = 884
After this you solve for x using this equation:
(19 +2x) * (6 + 2x) = 884
This would normally find the area of the whole swimming pool area and the walkway but because we know that we can use it to solve for x.
The step-by-step is this:
[tex]4x^{2} +50x+114=884[/tex]
[tex]4x^2+50x+114-884=884-884[/tex]
[tex]4x^2+50x+114-884=0[/tex]
Now we'll use the quadratic formula to simplify it farther:
[tex]x= \frac{-(50) + \sqrt{(50)^2-4(4)(-770)} }{2(4)}[/tex]
[tex]x=\frac{-50 + or - \sqrt{14820} }{8}[/tex]
[tex]x= \frac{-25}{4}+\frac{1}{4} \sqrt{3705}[/tex] or [tex]x= \frac{-25}{4} + \frac{-1}{4}\sqrt{3705}[/tex]
Instructions: Simplify the algebraic expression:
[tex]-\frac{1}{2} (32x-10y)[/tex]
Please Help me!!!!!!!!!
Answer:
(2,-3) (3,-3)
Step-by-step explanation:
f(x) is y
x² - 5x + 3 = -3
x² - 5x + 6 = 0
ask yourself
which 2 numbers when multiplied give you
+6 and when added give you -5
they are -3 and -2
(x-3)(x-2)
x=3 x=2
when you put x=3 and x=2
in x² - 5x + 3 it's gives -3 which is y
(3,-3) (2,-3)
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2 triangles are shown. The first triangle has side lengths 35, 20, and 20. The second triangle has side lengths x, 44, 44.
What value of x will make the triangles similar by the SSS similarity theorem?
The value of x is 77 cm which will make the triangles similar by SSS similarity theorem
Given length of the three sides of one triangle are 35 , 20 and 20
and length of the three sides of another triangle are x, 44,44
We need to find the values of x by using SSS Similarity theorem
We know that triangles are are similar by side - side - side similarity creation and hence the sides are in the same ratio
As both the triangles are isosceles triangles
Therefore ,
x/35 = 44/20=44/20 (Using ratio)
Solving the equation we get
x=44*35/20
x= 77
Hence the value of x is 77cm
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What is the range of the given data set?
Answer:
6
Step-by-step explanation:
21 - 15 = 6
The pieces of a puzzle are placed half by Giulio, one fifth by Marco and Fabrizio in equal parts, while Michele arranges on the 90 pieces of the frame. how many pieces does Marco place?
The number of pieces that Marco places is given as follows:
30 pieces.
How to obtain the number of pieces that Marco places?The number of pieces that Marco places is obtained applying the proportions in the context of the problem.
The fractions of each person are given as follows:
Giulio: 1/2.Marco and Fabricio: 1/5.Hence the fraction composed by these three people is given as follows:
1/2 + 1/5 = (5 + 2)/10 = 7/10 = 0.7.
Hence Michele's fraction is given as follows:
1 - 0.7 = 0.3.
As Michele arranges 90 pieces, the total number of pieces is given as follows:
0.3x = 90
x = 90/0.3
x = 300.
Marco arranged one tenth, hence the number is:
0.1 x 300 = 30.
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Suppose a simple random sample of size n = 36 is obtained from a population that is skewed right with μ = 75 and o = 24. What is P x > 80 ? Suppose a simple random sample of size n = 36 is obtained from a population that is skewed right with μ = 75 and o = 24. What is P x > 80 ?
Using the normal distribution, it is found that the probability that the sample mean is above 80 is of 0.1056 = 10.56%.
Normal Probability Distribution
The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].The parameters are given as follows:
[tex]\mu = 75, \sigma = 24, n = 36, s = \frac{24}{\sqrt{36}} = 4[/tex].
The probability that the sample mean is above 80 is one subtracted by the p-value of Z when X = 80, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{80 - 75}{4}[/tex]
Z = 1.25
Z = 1.25 has a p-value of 0.8944.
1 - 0.8944 = 0.1056.
0.1056 = 10.56% probability that the sample mean is greater than 80.
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