[tex] {3}^{a} = \frac{1}{9} [/tex]
[tex] {3}^{b} = 9 \sqrt{3} [/tex]
[tex] {3}^{c} = \frac{1}{ \sqrt{3} } [/tex]
Work out the value of a + b + c
BC = 4x + 2 AB = 8x + 8 and AC = 22 Find BC
Answer:
BC = 6.8
Step-by-step explanation:
The distance from A to B, then from B to C, is the same distance as from A to C.
Thus,
AB + BC = AC
AB = 8x + 8
BC = 4x + 2
AC = 22
AB + BC = AC
(8x + 8) + (4x + 2) = 22
Expanding the parenthesis:
8x + 8 + 4x + 2 = 22
8x + 4x + 8 + 2 = 22
12x + 12 = 22
Subtracting 12 from both sides:
12x = 10
Dividing both sides by 12:
x = 10/12 = 1.2
x = 1.2
We're looking for BC. As we know,
BC = 4x + 2
Let's now put in x = 1.2 into this equation:
BC = 4x + 2
BC = 4 * 1.2 + 2
Since 4 * 1.2 is 4.8:
BC = 4.8 + 2
BC = 6.8
Answer: BC = 6.8
A football team loses 8 yards on each of 4 consecutive plays. Find the total change in yards from where the team started. pls help fgkogijriojg
Answer:-32
Step-by-step explanation:
You times the two numbers and add a negative sign in front of it
8 would be a negative in this situation and 4 would be a positive. So the problem would look like this:
-8 x 4 = ?
For this particular problem, we would do 8 x 4 which would equal 32. Then we would try to find which one has the greater absolute value.
Absolute Value:
4 = 4
-8 = |8|
Since -8 has the greater absolute value, the answer would be negative.
The Answer: -32
property operation of 6 { 2.7 + 4 }=6{ 4 + 2.7 }
Mrs. Drew wants to build a square sandbox with an area of 361 square feer. What is the total length
of wood Mrs. Drew needs to make the sides of the sandbox?
Answer:
19 feet
Step-by-step explanation:
Area= length × length
361= l²
√361= l
19= l
Answer: 76
Step-by-step explanation:
what is 2 time 30000
Answer:
60000
Step-by-step explanation:
Answer:
60,000
Step-by-step explanation:
2 times 30,000 is 60,000
HELP ME ASAP PLEASE!!!!!!!!!1
the ratio of boys to girls in a class is 4 : 5
a) what is the fraction of boys in the class
b) what is the fraction of girls in the class
Answer: 4/9 of the class are boys and 5/9 of the class are girls.
Step-by-step explanation:
There are 9 nine students in total in the class since 4 + 5 = 9.Input the amount of boys and girls there are in the class in the numerator and have 9 as the denominator. 4/9 of the class are boys and 5/9 of the class are girls.the unit digit of square of the square of the number 42 is
Select the decimal that is equivalent to 2/3
Answer:
0.66666667 or 0.6
Step-by-step explanation:
if you put [tex]\frac{2}{3}[/tex] in a calculator and convert it, it would display
0.6666 with infinite sixes.
you can also write it as:
0.6
ps ;; you would do this for any fraction, then round it.
A cube has a surface area of 54 square centimeters, what is the side length?
Answer:
9cm
Step-by-step explanation: i think. ah
Answer:
3 cm³
Step-by-step explanation:
Formula a =√(A/6)
a = edge
A = Surface Area
a = √(54/6) = 3
X = 18 is a solution to this equation X + 79 = 98 Question 4 options: True False
Answer:
false
Step-by-step explanation:
Find the area of a triangle with a 21 cm base and 4 cm height
Answer:
42 cm^2
Step-by-step explanation:
Base = 21 cm
Height = 4 cm
Area = [tex]\frac{base\times height}{2}[/tex]
Substitute values into the given equation
[tex]A = \frac{21\times 4}{2} \\\\A = \frac{84}{2} \\\\A = 42cm^2[/tex]
Graph the function rule.
y = 3x + 3
Answer:
On the y axis (the vertical line titled y) graph a point at 3, then from there rise 3 and walk 1 and plot a point. keep doing this until you can graph a line.
Step-by-step explanation:
hope this helps :)
-3x+2<8 answer this equation
Answer:
x>-2
Step-by-step explanation:
-3x+2<8
Subtract 2 from each side
-3x+2-2<8 -2
-3x < 6
Divide each side by -3. remembering to flip the inequality
-3x/-3 >6/-3
x>-2
which property of equality is if 4m + n = 7 and n = 3 then, 4m + 3 = 7
Answer:
m = 1
Step-by-step explanation:
4 x 1 + 3 = 7
Answer: Addition property
Step-by-step explanation:
In the equation 4m + n = 7 , it indicates that n is 3, which means 3 has been added to it to get 4m + 3 = 7 so 3 has been added on each side.
im doing the zero product propety and some factoring for a hw assignment but these ones i cant figure out x² - 2x - 35= 0
3x² + 14x - 5 = 0
offering brainliest
Answer:
(x-7)(x+5) for the first one. ( 3 x − 1 ) ( x + 5 ) = 0 for the second.
Step-by-step explanation:
Place commas in the number 4978.
Answer:
4,978 because after 3 digits you have to put a coma
Answer:
4,978
Step-by-step explanation:
Someone please help.
Chase watched a movie about aliens who never stop growing. Every alien is 10 centimeters tall at birth and grows exactly 8 centimeters each year.
Let y represent the number of years since birth and h represent the alien's height in centimeters.
Complete the equation that represents the relationship between y and h.
y h
5 50
6 58
7 66
8 74
h=y+
Answer:
Step-by-step explanation:
Let the height (the dependent variable) be h.
Let the independent variable (x) be y
h = 8y + 10
So at birth, these creatures are 10 cm long. At each birthday, they are another 8 cm.
Take the fifth year which is where the table begins.
y= 8*5 + 10
y = 40 + 10
y = 50 cm which is exactly what you got.
DeShawn her $21 to spend on two pencils after buying them he has $17 how much did each pencil cost
what is 75.3% of 1394
Answer:
1049.682 is 75.3% of 1394 or as a fraction is 1049 341/500
Step-by-step explanation:
1394/x=100/75.3
(1394/x)*x=(100/75.3)*x - we multiply both sides of the equation by x
1394=1.32802124834*x - we divide both sides of the equation by (1.32802124834) to get x
1394/1.32802124834=x
1049.682=x
x=1049.682
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{1049.682}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{75.3\% \: of \: 1394}[/tex]
Convert 75.3 percent into fraction
To convert a percentage to a fraction, divide it by 100
[tex] \dashrightarrow{ \sf{ \frac{75.3}{100} \times 1394}}[/tex]
Calculate
[tex] \dashrightarrow{ \boxed{ \sf{1049.682}}}[/tex]
Hope I helped!
Best regards! :D
2.
Scientists estimate that the distribution of the life span of the Galápagos Islands giant tortoise is
approximately normal with mean 100 years and standard deviation 15 years. Based on the estimate, which
of the following is closest to the age of a Galápagos Islands giant tortoise at the 90th percentile of the
distribution?
Answer:
119.2
Step-by-step explanation:
Given the following :
Mean (m) = 100 years
Standard deviation (sd) = 15 years
closest to the age of a Galápagos Islands giant tortoise at the 90th percentile of the
distribution?
Obtain the Zscore for 90th percentile (0.90) on the z table = 1.28
Zscore = (X - mean) / standard deviation
1.28 = (X - 100) / 15
1.28 × 15 = X - 100
19.2 = X - 100
19.2 + 100 = X
X = 119.2
Using the normal distribution, it is found that an age of 119 years is closest to the 90th percentile.
-------------------
Normal Probability Distribution
The z-score formula is used, which, in a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. Each z-score has a p-value associated, which represents the percentile of X.-------------------
Mean of 100 means that [tex]\mu = 100[/tex]Standard deviation of 15 means that [tex]\sigma = 15[/tex]The 90th percentile is X when Z has a p-value of 0.9, so X when Z = 1.28.Thus:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.28 = \frac{X - 100}{15}[/tex]
[tex]X - 100 = 15(1.28)[/tex]
[tex]X = 119.2[/tex]
An age of 119 years is closest to the 90th percentile.
A similar problem is given at https://brainly.com/question/15686085
Sosa received $90 in gift cards to Coffee Crazee and each drink she purchases costs $4.75. Sosa also received $75 in gift cards to Fran's Frappes and each drink she purchases cost $3.25. How many drinks will Sosa have to purchase in order to have the same amount remaining on the gift cards from both shops? * 33
Answer:
90 -4.75x = 75 -3.25x
90-75= 4.75x-3.25x
x= 10
Step-by-step explanation:
Answer:
10 drinks
Step-by-step explanation:
We can set up an equation to find the amount of drinks needed, x.
[tex]90-4.75x = 75-3.25x[/tex]
Now let’s solve for x by isolating it on one side of the equation.
Subtract 75 from both sides:
[tex]15 - 4.75x = -3.25x[/tex]
Add 3.25x to both sides:
[tex]15-1.5x=0[/tex]
Add 1.5x to both sides:
[tex]15 = 1.5x[/tex]
Divide both sides by 1.5:
[tex]x = 10[/tex]
Hope this helped!
A package of floor tiles contains 22 one-foot-square tiles. Find how many packages
should be bought to cover a square ballroom floor whose side measures 66 feet Note:
Partial packages cannot be bought
Answer:
Step-by-step explanation:
66 times 66 for area is 4356 then 4356 divided by 22 is 217.8 so 218
how to solve the following quadratic equations; 2L, m, o, 3a and g
Answer:
Please see the attached pictures for full solution.
-6x+8y-10x-8y
Show and explain work
Answer:
Simplify the expression.
−16x
Step-by-step explanation:
a) Calculate the area of a triangle that has base 8cm and height
6.5cm State units with your answer.
Answer:
26cm^2
Step-by-step explanation:
Base = 8cm
Height = 6.5cm
[tex]a = \frac{base \: cm \times heightcm}{2} [/tex]
Substitute values into the given equation
[tex]Area = \frac{8 \: cm \times 6.5 \: cm \: }{2} \\ = \frac{52 {cm}^{2} }{?} \\ = 26 \: {cm}^{2} [/tex]
If I pay $10.50 for 3 lbs. of peanuts, what is the unit rate?
Answer:
the answer is 3.5 tell me if you got it right
Find the distance between (-12, 1) and (12, -1) *
Answer:
[tex]d = 2\sqrt{145}[/tex]
Step-by-step explanation:
Use the Distance Formula to help you determine the distance between the two following points ( [tex](-12, 1)[/tex] and [tex](12, -1)[/tex] ):
-Distance Formula:
[tex]d = \sqrt{(x_{2} - x_{1}) ^2 + (y_{2} - y_{1})^2}[/tex]
(where [tex]( x_{1}, y_{1})[/tex] represents the first point, and [tex](x_{2}, y_{2})[/tex] represents the second point)
-Apply the following points to the equation:
[tex]d = \sqrt{(12 + 12) ^2 + (-1 - 1)^2}[/tex]
[tex]( x_{1}, y_{1})[/tex] = [tex](-12, 1)[/tex]
[tex](x_{2}, y_{2})[/tex] = [tex](12, -1)[/tex]
-Solve the equation:
[tex]d = \sqrt{(12 + 12) ^2 + (-1 - 1)^2}[/tex]
[tex]d = \sqrt{(24)^2 + (-2)^2}[/tex]
[tex]d = \sqrt{576 + 4}[/tex]
[tex]d = \sqrt{580}[/tex]
[tex]d = 2\sqrt{145}[/tex]
Therefore, the distance is [tex]2\sqrt{145}[/tex].