Answer:
Therefore the probability of Maria scoring on her next shot is [tex]\frac{1}{4}[/tex].
Step-by-step explanation:
i) Maria scored two goals and missed on her other six shots.
ii) Maria took a total of eight shots on the goal.
iii) On an average Maria scored twice in every eight shots or once in every four shots on the goal. So we can say that the probability of Maria scoring a goal on every shot on goal is one in four or [tex]\frac{1}{4}[/tex].
iv) Therefore the probability of Maria scoring on her next shot is [tex]\frac{1}{4}[/tex].
What’s the correct way to read 43.106
To read 43.106 correctly, say 'forty-three point one zero six'
Explanation:To read the number 43.106 correctly, we start by reading the whole number part, which is 43. This is read as 'forty-three'.
Next, we read the decimal part. The first digit after the decimal point is read as 'one', the second digit as 'zero', and the third digit as 'six'. Finally, we put all the parts together and read the number as 'forty-three point one zero six'.
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how many solutions are there to the equation below. 9x+27=9(x+2)+9
Answer:
Infinitely many
Step-by-step explanation:
Use >, <, and + signs to write inequalities for the relationships among
the sides of the triangles. Show your work below the numbers.
7. 1/2 _______________1/3 _______________1/5
8. 0.1 _______________ 0.15 _______________ 0.2
Answer:
7. [tex]\frac{1}{2}+\frac{1}{3}>\frac{1}{5}[/tex]
8. [tex]0.1+0.15>0.2[/tex]
Step-by-step explanation:
Given:
Three sides of the triangles are given.
For Question 7
1/2 _ 1/3 _1/5
For Question 8
0.1 _ 0.15 _ 0.2
We need to use >, <, and + signs to write inequalities for the relationships among the sides of the triangles.
Solution:
Part 7.
Property of the triangles.
Sum of two side of triangles must be greater than third side.
So, first, second and third side of the triangle is [tex]\frac{1}{2}, \frac{1}{3}\ and\ \frac{1}{5}[/tex]
[tex]\frac{1}{2}+\frac{1}{3}>\frac{1}{5}[/tex]
[tex]\frac{5}{6}>\frac{1}{5}[/tex]
So, its satisfy the triangle rule.
Therefore, Inequality is [tex]\frac{1}{2}+\frac{1}{3}>\frac{1}{5}[/tex]
Part 8.
Property of the triangles.
Sum of two side of triangles must be greater than third side.
So, first, second and third side of the triangle is [tex]0.1, 0.15\ and\ 0.2[/tex]
[tex]0.1+0.15>0.2[/tex]
[tex]0.25>0.2[/tex]
So, its satisfy the triangle rule.
Therefore, Inequality is [tex]0.1+0.15>0.2[/tex]
Use inequalities to compare sides of triangles with >, <, and + signs.
For 7:
1/2 > 1/3
1/3 > 1/5
1/2 + 1/3 > 1/3 + 1/5
For 8:
0.1 < 0.15
0.15 < 0.2
0.1 + 0.15 < 0.15 + 0.2
Ruby has a collection of 16 stuffed animals. She gives 1/4 of her collection to her younger brother. Then she gives half of the remaining animals to her baby sister. How many animals does Ruby give her sister
Answer:
6
Step-by-step explanation:
16/4=4 (to brother) 16-4=12 (whats remaining) 12/2=6 (to sister)
Ruby gives her sister 6 animals.
Explanation:To find out how many animals Ruby gives her sister, we need to follow the instructions step by step. Ruby starts with 16 stuffed animals. She gives 1/4 of her collection to her brother, which is equal to 16 * 1/4 = 4. Now Ruby has 16 - 4 = 12 stuffed animals left. Then she gives half of the remaining animals to her sister, which is equal to 12 * 1/2 = 6. So Ruby gives her sister 6 animals.
Find the Mid point of (-5,-9) (-7,-4)
Answer: ( -6 , -6.5 )
Step-by-step explanation:
The formula for calculating Mid - point is given by
M = ([tex]\frac{x_{1}+x_{2}}{2}[/tex] , [tex]\frac{y_{1}+y_{2}}{2}[/tex] )
[tex]x_{1}[/tex] = -5
[tex]x_{2}[/tex] = -7
[tex]y_{1}[/tex] = -9
[tex]y_{2}[/tex] = -4
substituting into the formula , we have
M = [tex]\frac{-5-7}{2}[/tex] , [tex]\frac{-9-4}{2}[/tex]
M = [tex]\frac{-12}{2}[/tex] , [tex]\frac{-13}{2}[/tex]
Therefore : mid point = ( -6 , -6.5 )
The square of the quantity 17 less than x
What is the complete factorization of 12x2 + 36x + 27?
A.
(x+3)(12x+ 9)
B. 3(2x + 3)2
C. 6(x + 2)2
D.
(6x + 3)(2x + 9)
Need help please
Answer:
B) 3(2x+3)^2
Step-by-step explanation:
12x^2+36x+27
factor out the 3 first,
3(4x^2+12x+9)
factor out the trinomial 4x^2+12x+9,
3(2x+3)(2x+3)
3(2x+3)^2
Answer:
B. 3(2x + 3)2
Step-by-step explanation:
What is this ????????
A circle has a circumference of 44m. What
is its area?
A. 616m
B. 154m
C. 14m
D. 308m
================================
Work Shown:
C = 44 is the circumference
in general, the circumference of a circle is
C = 2*pi*r
Plug in C = 44 and solve for r.
C = 2*pi*r
44 = 2*pi*r
2*pi*r = 44
r = 44/(2pi)
r = 7.0028175 which is approximate
--------------------
Now plug this into the formula for the area of a circle
A = pi*r^2
A = pi*(7.0028175)^2
A = 154.061985
A = 154 rounding to the nearest whole number
Answer:
B
Step-by-step explanation:
Circumference = 2πr
And circumference = 44 m
44 = 2πr
so, r = 44/2π
r = 22/π
Radius is 22/π
Area of circle = πr²
Area of circle = π × (22/π)²
Area of circle = π × 22²/π²
Area of circle = 22²/π
Area of circle = 484/π
Area of circle = 154.14m²
chetan makes a necklace for his sister. twelve beads take up 5 inches of strings. how many beads fit on 1 foot of string.
Answer:
28 beads fit on the string.Step-by-step explanation:
12 inch = 1 ft.
12 inch can be be written as (5 + 5 + 2) inch.
It is given that, 5 inches require for 12 beads.
Hence, (12 + 12) = 24 beads will take up (5 + 5) = 10 inches.
There are 2 inches more to fill.
5 inches required for 12 beads.
1 inch required for [tex]\frac{12}{5}[/tex] beads.
2 inches will be required for [tex]\frac{24}{5}[/tex] beads.
[tex]\frac{24}{5} = 4.8[/tex].
Hence, there will 24 + 4 = 28 beads in total. (Only 4 is added instead of 4.8 because, the number can not be in fraction and there is no space for 29 beads in total).
What is the area of a circle with a radius of 15 inches to the nearest 10th use 3.14
Step-by-step explanation:
The area of a cirkel is calculated with the formula \pi×r^2. Using the 15 inch radius given we get \pi×15^2=706.5 inches squared.
Can somebody please help me with these two questions? And show your work please?
Solve for x.
(1) x = 12, (2) [tex]x=3\frac{1 }{2}[/tex]
Solution:
(1) If the two triangles are similar and the angles of two triangles are congruent then the corresponding sides are in proportion.
⇒ [tex]\frac{25}{10}=\frac{30}{x}[/tex]
Do cross multiply.
⇒ [tex]25 \times x=30 \times 10[/tex]
Divide both sides of the equation by 25 to equal the expression.
⇒ [tex]x=\frac{30 \times 10}{25}[/tex]
⇒ x = 12
(2) Side of triangle = [tex]4\frac{1}{3} =\frac{13}{3}[/tex]
If the two triangles are similar and the angles of two triangles are congruent then the corresponding sides are in proportion.
⇒ [tex]\frac{26}{\frac{13}{3} }=\frac{21}{x}[/tex]
Do cross multiply.
⇒ [tex]26 \times x=21 \times \frac{13}{3}[/tex]
⇒ [tex]26 \times x=7 \times 13[/tex]
Divide both sides of the equation by 26 to equal the expression.
⇒ [tex]x=\frac{7 \times 13}{26}[/tex]
⇒ [tex]x=\frac{7 }{2}[/tex]
⇒ [tex]x=3\frac{1 }{2}[/tex]
the tempurature is changing every day by -3/16 degree farenheit. what will be the change in temerature after 4 days?
Answer:
After 4 days, the temperature will be 3/4 Fahrenheit degrees lower than today
Step-by-step explanation:
Let's calculate the change in temperature after 4 days, this way:
Today's temperature = t in Fahrenheit degrees
Tomorrow's temperature = t - 3/16 Fahrenheit degrees
The day after tomorrow's temperature = t - 2 * 3/16 = t - 3/8 Fahrenheit degrees
Therefore, the temperature after 4 days will be = t - 4 * - 3/16 = t - 3/4 Fahrenheit degrees
After 4 days, the temperature will be 3/4 Fahrenheit degrees lower than today
Complete the set of ordered pairs for the relation.
{(x, y): y= 2(x + 11 and X E (-2,-1,0, 1, 2}}.
(2
Answer:
- 2
Step-by-step explanation:
I think this right!! Hope it helps!!
The complete set of ordered pairs for the relation y = 2(x + 11), where x belongs to the set (-2, -1, 0, 1, 2), is {(-2, 18), (-1, 20), (0, 22), (1, 24), (2, 26)}.
The given equation is y = 2(x + 11), where x takes values from the set (-2, -1, 0, 1, 2). To find the corresponding y-values for each x-value, we substitute the given x-values into the equation and calculate the y-values.
For x = -2:
y = 2(-2 + 11) = 2 * 9 = 18
So, the ordered pair is (-2, 18).
For x = -1:
y = 2(-1 + 11) = 2 * 10 = 20
Ordered pair: (-1, 20).
For x = 0:
y = 2(0 + 11) = 2 * 11 = 22
Ordered pair: (0, 22).
For x = 1:
y = 2(1 + 11) = 2 * 12 = 24
Ordered pair: (1, 24).
For x = 2:
y = 2(2 + 11) = 2 * 13 = 26
Ordered pair: (2, 26).
Combining all these ordered pairs, we have the complete set of ordered pairs for the given relation:
{(-2, 18), (-1, 20), (0, 22), (1, 24), (2, 26)}.
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which situation could be represented by 5 divided by 1/2=10
See explanation
Step-by-step explanation:
A situation where a farmer needs to divide his 5 acre land into 1/2 an acre to get 10 pieces of land where he can grow ten different crops.
In such a case; you divide 5 by 1/2
5/ 1/2 = 5*2 =10 pieces
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Keywords :situation, represented, divide
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Answer:can someone help
Step-by-step explanation:
Javier asks his mother how old a tree in their yard is. His mother says, “The sum of 10 and two-thirds of that tree’s age, in years, is equal to 50.”
Javier writes the equation , where a is the tree’s age in years. His equation is not correct. What error did he make?
Answer:
[tex]10 + (\frac{2}{3}) a = 50[/tex] is the CORRECT equation.
Step-by-step explanation:
The given question is INCOMPLETE.
Javier asks his mother how old a tree in their yard is. His mother says, “The sum of 10 and two-thirds of that tree’s age, in years, is equal to 50.” Javier writes the equation { 10 + 2/3} where a is the tree’s age in years. His equation is not correct. What error did he make?
Now here:
a: The tree’s age in years.
Also, “The sum of 10 and two-thirds of that tree’s age, in years, is equal to 50.”
⇒ 10 + two-thirds of that tree’s age = 50
[tex]\implies 10 + (\frac{2}{3}) a = 50[/tex]
But in the equation written by Javier, the the third fraction is NOT MULTIPLIED by the age of the tree a in Years.
So, the written equation by Javier is Incorrect.
Now, solving the written correct equation for the value of a, we get:
[tex]\implies 10 + (\frac{2}{3}) a = 50\\\implies (\frac{2}{3}) a = 40\\\implies a = 40 \times (\frac{3}{2}) = 60\\\implies a = 60[/tex]
Hence the correct age of the tree = 60 years
A cash card has a starting value of $25. If the card is not used within the first year of its purchase, the value on the card begins to decrease by $2.50 per month.
The relationship between the number of months after the first year and the amount remaining on the card is .
The independent variable is the _____________?
The dependent variable is the ______________?
Answer:
The relationship between the number of months after the first year and the amount on the remaining card is linear and inverse (which means that, when the number of montsh after the first year increases, the amount on the remaining car decreases, in a linear way).The independent variable is the numbers of months after the first year.The dependent variable is the amount on the remaining card, because this amount depends on the time it has passed since the first year (which is our independent variable!).If we call "y" our dependent variable, and "x" our independent variable, this relationship can be written as y=25 - 2.5x. If no months has passed since the first year, then x=0 and the amount in the card equals $25, while if one month has passed since the first year x=1 and y=22.5 (the amount in the card in this case is $22.5).Answer:
The relationship between the number of months after the first year and the amount remaining on the card is discrete
The independent variable is the
number of months after the first year
The dependent variable is the
amount remaining on the card.
Teo earns 47.25$ in 7 h of work at Beck’s Burgers. How much will he earn in 12 hours?
Answer:
He will earn $81 in 12 hours.
Step-by-step explanation:
Given:
Teo earns 47.25$ in 7 hours of work at Beck’s Burgers.
Now, to find the money he will earn in 12 hours.
As, given Teo earns 47.25$ in 7 hours of work.
So, to get the money he will earn in 12 hours we solve by using unitary method:
If Teo earns in 7 hours $47.25.
Then, in 1 hour he earns = [tex]\frac{47.25}{7}[/tex]
Thus, in 12 hours he will earn = [tex]\frac{47.25}{7} \times 12[/tex]
= [tex]6.75\times 12[/tex]
= [tex]\$81.[/tex]
Therefore, he will earn $81 in 12 hours.
Raymond just got done jumping at Super Bounce Trampoline Center. The total cost of his session was $43.25. He had to pay a $7 entrance fee and $1.25 for every minute he was on the trampoline.
Here is the equation:
43.25 = 1.25t + 7 where t is the number of minutes he was on the trampoline.
an adult elephant that is 10ft tall casts a shadow that is 15ft long. find the length of the shadow that a 8ft telephone booth casts
Answer:
The length of the shadow the telephone booth is 12 ft.
Step-by-step explanation:
Given:
An adult elephant that is 10 ft tall casts a shadow that is 15 ft long.
The length of the telephone booth is 8 ft.
Now, to find the length of the shadow the telephone booth casts.
Let the length of the shadow the telephone booth be [tex]x.[/tex]
As given, an adult elephant that is 10 ft tall casts a shadow that is 15 ft long.
So, 10 ft is equivalent to 15 ft.
Thus, 8 ft is equivalent to [tex]x.[/tex]
Now, to get the length of the shadow of the booth we get cross multiplication method:
[tex]\frac{10}{15} =\frac{8}{x}[/tex]
By cross multiplying we get:
[tex]10x=120[/tex]
Dividing both sides by 10 we get:
[tex]x=12.[/tex]
Therefore, the length of the shadow the telephone booth is 12 ft.
asap, please and thank you
Answer: Here dimension of bigger triangle = 10
Dimension of smaller triangle = 5
Scale factor = 10/5 =2
Therefore
Center C and scale factor 2
Evaluate the first expression for b = 5.
5b - 12.4
Answer:
12.6
Step-by-step explanation:
plug in 5 for b
5*5 = 25
25-12.4=12.6
Answer:
B= -2.48
Step-by-step explanation:
Divide 5 and -12.4 both by 5 then B=-2.48
A bottle of sugar syrup soda had 3 3/9 grams of sugar in it. If Will drank 2 full bottles and 1/2 of a bottle, how many grams of sugar did her drink?
Will drank [tex]8\frac{1}{3}[/tex] grams of sugar.
Step-by-step explanation:
Given,
Amount of sugar in one bottle = [tex]3\frac{3}{9}=\frac{30}{9}\ grams[/tex]
Amount of bottles drank by Will = [tex]2+\frac{1}{2}=\frac{4+1}{2}=\frac{5}{2}\ bottles[/tex]
Total sugar drank by Will = Amount of sugar in one bottle * Amount of bottles drank by Will
Total sugar drank by Will = [tex]\frac{30}{9}*\frac{5}{2}[/tex]
Total sugar drank by Will = [tex]\frac{150}{18}=\frac{25}{3}[/tex]
Total sugar drank by Will = [tex]8\frac{1}{3}[/tex]
Will drank [tex]8\frac{1}{3}[/tex] grams of sugar.
Keywords: fraction, multiplication
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-4+w+17-2/3w=16 solve the equation
Answer:
w=9
Step-by-step explanation:
I hope this image is helpful to you.
.
.
The student's algebra problem is solved by gathering like terms, simplifying the equation, and then isolating 'w'. The solution to the equation is 'w = 9'.
Explanation:The subject of this question is mathematics, specifically, the topic is algebra. The equation given is -4+w+17-2/3w=16. We need to solve this equation for 'w'.
To start, we should gather like terms. Therefore, -4 + 17 becomes 13, making our equation 13 + w - 2/3w = 16. We can also rearrange this to w - 2/3w instead, which results in 1/3w = 16 - 13, therefore, 1/3w = 3. To solve for w, we can multiply the both sides of the equation by 3, which leads to w = 3 * 3 or w = 9.
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^^ Does anyone know the answer?
Answer:
60 degrees
Step-by-step explanation:
180-90=90
90-30=60
Darius uses 6 2/3 cup of bread cubes to make a batch of stuffing for his family. How many cups of bread cubes will he need to make four batches of stuffing for a family reunion? *
Answer:
Darius needs [tex]26\frac{2}{3}[/tex] cups of bread cubes to make four batches of stuffing for a family reunion.
Step-by-step explanation:
Given:
bread cubes to make a batch of stuffing = 6 2/3 cup
To Find:
Number of cups of bread cubes needed to make four batches of stuffing for a family reunion = ?
Solution:
According to the question, to make one batch of stuffing Darius needs [tex]6\frac{2}{3}[/tex] cups of bread cubes
So if he wants to make four batched, then the number of cups of bread cubes will be four times as needed for making one batch
Then
Number of cups of bread cubes needed to make four batches = 4 x bread cubes needed to make a batch of stuffing
Number of cups of bread cubes needed to make four batches
= [tex]4 \times 6\frac{2}{3}[/tex]
=>[tex]4 \times \frac{18+2}{3}[/tex]
=> [tex]4 \times \frac{20}{3}[/tex]
=>[tex]\frac{80}{3}[/tex]
=>[tex]26\frac{2}{3}[/tex]
Darius will need 80/3 cups of bread cubes to make four batches of stuffing for a family reunion.
Explanation:To find out how many cups of bread cubes Darius will need to make four batches of stuffing for a family reunion, we need to multiply the amount of bread cubes used in one batch by the number of batches he wants to make. Darius uses 6 2/3 cups of bread cubes in one batch. So, to find the total amount of bread cubes needed for four batches, we can multiply 6 2/3 cups by 4.
First, we convert the mixed number into an improper fraction: 6 2/3 = (6 * 3 + 2)/3 = 20/3.
Next, multiply the improper fraction by 4: (20/3) * 4 = 80/3 cups.
Therefore, Darius will need 80/3 cups of bread cubes to make four batches of stuffing for a family reunion.
Which law would you use to simplify the expression
(p\q)3
Answer:3√(p/q)3
Step-by-step explanation: Find the cube root .
The law used to simplify the expression [tex]( (p/q)^3 \)[/tex] is the "Power of a Quotient" rule.
The correct option is (b).
The "Power of a Quotient" rule states that when a fraction is raised to a power, we can raise both the numerator and denominator to that power individually. Mathematically, it is represented as:
[tex]\[ \left(\frac{a}{b}\right)^n = \frac{a^n}{b^n} \][/tex]
Applied to the expression [tex]\( (p/q)^3 \)[/tex], we raise both[tex]\( p \) and \( q \)[/tex] to the power of 3:
[tex]\[ \left(\frac{p}{q}\right)^3 = \frac{p^3}{q^3} \][/tex]
This simplification allows us to express the original expression in terms of powers of the numerator and denominator separately. In other words, the exponent 3 is distributed to both [tex]\( p \) and \( q \), resulting in \( p^3 \)[/tex]in the numerator and [tex]\( q^3 \)[/tex] in the denominator.
Using this rule, we can handle expressions involving powers of fractions efficiently, breaking them down into simpler terms that are easier to work with or evaluate. It's particularly useful when dealing with algebraic expressions or equations where fractions with powers are involved, providing a systematic approach to simplification.
complete question given below:
Which law would you use to simplify the expression
[tex](p\q)^3[/tex]?
a.power of a power
b.power of a quotient
c.quotient of powers
d.power of a product
What solves 4 + 1/5x = -1 ?
Answer: [tex]x=-25[/tex]
Step-by-step explanation:
For this exercise it is necessary to remember the multiplication of signs:
[tex](+)(+)+\\(-)(-)=+\\(-)(+)=-\\(+)(-)=-[/tex]
Then, having the following equation provided in the exercise:
[tex]4 + \frac{1}{5}x = -1[/tex]
You need to solve for the variable "x" in order to find its value.
To solve the equation, you can follow the steps shown below:
Step 1: You need to subtract 4 from both sides of the equation. Then:
[tex]4 + \frac{1}{5}x-(4) = -1-(4)\\\\ \frac{1}{5}x=-1-4\\\\ \frac{1}{5}x=-5[/tex]
Step 2: This is the final step. You must multiply both sides of the equation by 5 in order to find the value of the variable "x".
Then, you get the following result:
[tex](5)( \frac{1}{5}x)=(-5)(5)\\\\x=-25[/tex]
the height of a parallelogram is 18 centimeters less than its base. if the area is 175 square centimeters, what is its height?
The height of a parallelogram can be found by solving the equation 'Area = base × height' given the area is 175 square centimeters and the height is 18 centimeters less than the base. The base 'b' and the height 'b - 18' form a quadratic equation that can be solved to find 'b', after which subtracting 18 will give the height.
Explanation:The question is asking to find the height of a parallelogram given its area and a relationship between the base and the height. The area of a parallelogram is found using the formula Area = base × height. According to the given information, we know that the area is 175 square centimeters. The relationship between the base and the height of the parallelogram is such that the height is 18 centimeters less than the base. Therefore, we can denote the base as 'b' and the height as 'b - 18'. Plugging these into the formula for the area we get 175 = b × (b - 18).
To solve for 'b', we can set up and solve a quadratic equation. After finding the value of 'b', we can calculate the height by subtracting 18 centimeters from our value for 'b'. Let's go through the steps:
175 = b × (b - 18).Distribute the 'b' on the right side of the equation: 175 = b^2 - 18b.Rearrange to form a quadratic equation: b^2 - 18b - 175 = 0.Solve the quadratic equation using the quadratic formula or factorization (if possible).Substitute the positive value of 'b' back into 'b - 18' to find the height.After solving the quadratic equation, we would get the value of 'b' and accordingly the value of 'b - 18' which is the height of the parallelogram in centimeters.
What is Cube root of 125 x Superscript 12?
A. 5x2
B. 5x4
C. 25x2
D. 25x4
==============================================
Work Shown:
125 = 5*5*5 = (5)^3
x^12 = (x^4)*(x^4)*(x^4) = (x^4)^3
125x^12 = (5x^4)^3
[tex]\large \sqrt[3]{125x^{12}} = \left(125x^{12}\right)^{1/3}[/tex]
[tex]\large \sqrt[3]{125x^{12}} = \left((5x^4)^3\right)^{1/3}[/tex]
[tex]\large \sqrt[3]{125x^{12}} = (5x^4)^{3*(1/3)}[/tex]
[tex]\large \sqrt[3]{125x^{12}} = (5x^4)^{1}[/tex]
[tex]\large \sqrt[3]{125x^{12}} = \textbf{5x}^{\textbf{4}}[/tex]
Answer:
Step-by-step explanation:
[tex]125=5*5*5=5^{3}\\\\\ \sqrt[3]{125x^{12}}=\sqrt[3]{125*x^{4*3}}\\\\=\sqrt[3]{5^{3}*(x^{4})^{3}}=5*x^{4}=5x^{4}[/tex]