Answer:
Solve the rational equation by combining expressions and isolating the variable
x
.
Exact Form:
x
=
−
22
−
2
√
526
27
,
−
22
+
2
√
526
27
Decimal Form:
x
=
0.88405110
…
,
−
2.51368073
…
Step-by-step explanation:
Abbi is a years old. Abbi is 5 years older than cathy. Bobby is twice as old as Abbi. The total of their ages is less than 35. Solve the inequality
Answer:
Step-by-step explanation:
A+C+B>35
A = 7
B = 14
C = 2
A+B+C<35=
23<35
Hey guys I need help with this no links and please explain your work
Answer:
x = 0.17
Step-by-step explanation:
Solve for x:
First, take the ln of both sides:
ln(1/16) = ln(8^(4x-2))
You can now bring down (4x-2) in front of the ln:
ln(1/16) = (4x-2)ln(8)
ln(1/16)/ln(8) = 4x-2
4x = ln(1/16)/ln(8) + 2
x = ln(1/16)/4ln(8) + 1/2
x = 0.17
What is 1/4 plus 1/2 equal to in a fraction
Answer:
[tex] \frac{3}{4} [/tex]
Step-by-step explanation:
[tex] \frac{1}{4} + \frac{1}{2} \: \: lcm \: of \: 4 \: an d \: 2 \: is \: 4 \ \\ = \frac{1 + 2}{4} = \frac{3}{4} [/tex]
Write a story problem with a diver and the values -20 and +15.
Mason earns $17.65 per hour. He worked 40 hours last week. What was his straight time pay?
Answer:
$706
Step-by-step explanation:
$17.65 per hour
40 hours worked
17.65 · 40 = $706
Hope this helps and God bless!
of the marbles in a bag 5 are red, 5 are green, and 3 are yellow. sandra will randomly choose one marble from the bag. the probability that sandra will choose a green marble from the bag?
Answer:
5/13
Step-by-step explanation:
Total amount of marbles: 5 + 5 + 3 = 13
5 out of 13 are green.
You can also turn this into a percentage but that number is not very clear and this answer should be fine if it doesn't state which form the answer has to be in.
what does the size or dimension of the matrix tells?
Answer:
The dimensions of a matrix are the number of rows by the number of columns.
Which question cannot be answered by the solution to the equation 3x=27 ?
Elena read three times as many pages as Noah. She read 27 pages. How many pages did Noah read?
Elena read three times as many pages as Noah. She read 27 pages. How many pages did Noah read?
Lin has 27 stickers. She gives 3 stickers to each of her friends. With how many friends did Lin share her stickers?
Lin has 27 stickers. She gives 3 stickers to each of her friends. With how many friends did Lin share her stickers?
Diego paid $27 to have 3 pizzas delivered and $35 to have 4 pizzas delivered. What is the price of one pizza?
Diego paid $27 to have 3 pizzas delivered and $35 to have 4 pizzas delivered. What is the price of one pizza?
The coach splits a team of 27 students into 3 groups to practice skills. How many students are in each group?
The coach splits a team of 27 students into 3 groups to practice skills. How many students are in each group?
Answer:
C
Step-by-step explanation:
"Diego paid $27 to have 3 pizzas delivered and $35 to have 4 pizzas delivered. What is the price of one pizza? "
Hope this helps :)
For each expression, select all equivalent expressions from the list.
(a) 11x - 4x + 10x
O 7x+10x
O 17 + x
10x - 7x
0 17x
(b) 2(1 + 8y)
0 2 +1.2 + 8y
0 2 +16y
02.1+28y
2+8y
Ugh I can’t figure them all out please help me
-16x^2+150x=425 solve for x
Answer:
[tex]x_{1}=\frac{75}{16}-\frac{5\sqrt{47} }{16}i , x_{2}=\frac{75}{16}+\frac{5\sqrt{47} }{16}i[/tex]
Step-by-step explanation:
Which of the following is a solution of
[tex]\frac{7+\sqrt{13}}{6}[/tex] is the answer
Step-by-step explanation:
Write an equation that represents a relationship between these angles. Do NOT use spaces or parentheses.
Answer:
Angle x measures 33.5 degrees.
Step-by-step explanation:
From the given picture, we can note that angle x and the angle of 23 degrees are vertical opposite angles,
Since lines l and m are perperdicular then the angle between then measures 90 degrees, so we have:
[tex]x+23+x=90[/tex]
By collecting similar terms the equation which represents a relation between these angles is:
[tex]2x+23=90[/tex]
Now, by subtracting 23 to both sides, we obtain:
[tex]2x=90-23\\2x=67[/tex]
and by dividing both sides by 2, we get
[tex]x=\frac{67}{2}[/tex]
[tex]x=33.5\\[/tex]
Then angle x measures 33.5 degrees.
Shelley is making strawberry popsicles to have by the pool on a hot summer day. She
combines the ingredients in a blender shaped like a square prism with a 4-inch by 4-inch
square base. When she is done blending, the strawberry popsicle mixture fills the blender to
a height of 5.8 inches. The popsicle molds she will fill are cylindrical with a radius of 0.6
inches and a height of 4.5 inches.
What is the maximum number of popsicle molds Shelley can fill completely with the popsicle
mixture?
in
Answer:
18
Step-by-step explanation:
Explanation is in photo
Monica bought a sweater for $48.00. A week later the sweater went on sale for 25% off the original price. If Monica needed to pay 7% sales tax on any purchase, how many dollars would Monica have saved by waiting to buy the sweater on sale?
A. $12.84
B. $12.00
C. $2.52
D. $0.84
Answer:
A $12.84
Step-by-step explanation:
Sweater was originally $48.00 before tax. $48.00 x 7% tax rate (.07) = $3.36 in tax
So the sweater originally would've cost $48.00 + $3.36 = $51.36
The sale price was 25% off the $48.00. $48.00 x 25% (.25) = $12.00
Then you subtract the $12.00 from the $48.00 to get the new price of $36.00
Now that's before tax, so $36.00 x 7% tax rate (.07) = $2.52 in tax
So the sweater would cost on sale $36.00 + $2.52 = $38.52
To figure out how much she would've saved you subtract the sale price & tax from the original price & tax $51.36 - $38.52 = $12.84
How many different possible outcomes are there if you roll three six-sided dice in the shape of a cube?
Answer:
There are 36 outcomes. Of these, there are 2 that have both 1 and 3.
A _________ number differs from an integer because it has an integer part and a fractional part, even if the fractional part is 0
Answer:
Rational number
Step-by-step explanation:
Rational numbers are integers with fractional number for example 2/9 is a rational number and so is 4/5 ,6/10, 2.5 ,6 ,9 etc.
The graph of f(x) = x2 − 6x − 16 is shown. Which of the following describes all solutions for f(x)? a parabola passing through negative 2 comma zero, 0 comma negative 16, and 8 comma zero (−2, 0), (0, −16), (3, −25), (8, 0) (x, x2 − 6x − 16) for all real numbers (−2, 0), (8, 0) (x, y) for all real numbers
Let's find out zeros
x²-6x-16=0x²-8x+2x-16=0(x-8)(x+2)=0x=8 or -2x intercepts
(8,0) U (-2,0)Question 6 of 25
A bag contains 6 blue marbles, 5 yellow marbles, 3 white marbles, and 1 red
marble. What is the probability of not selecting a yellow marble?
O A.4/5
о B.3/5
c.2/3
OD. 1/3
Answer:
2/3
Step-by-step explanation:
Add all the number of marbles.Now you have 15 in total. 10 of them are not yellow. 10/15 simplified equals 2/3
answer this and win 20 points
Answer:0.18%
Step-by-step explanation: It is simply but how you know that it is a percentage and you then have to add it as a decimal.
& triangle is inscribed
in a rectangle, as shown below. What is the area of the shaded
region?
5 cm
3 cm
5 cm
11 cm
A. 40 cm2
C. 47.5 cm2
B. 62.5 cm2
D. 22.75 cm2
Answer: I am not really sure but I think its c
Step-by-step explanation:
we can simply get the area of the whole rectangle, that is, the rectangle including the triangle in it, and then get the area of the triangle and subtract it from that of the rectangle, what's leftover, is the part we did not subtract, namely the shaded region.
[tex]\stackrel{\textit{\Large Areas}}{\stackrel{rectangle}{(5)(11)}~~ - ~~\stackrel{triangle}{\cfrac{1}{2}(\stackrel{b}{5})(\stackrel{h}{3})}}\implies 55~~ - ~~\cfrac{15}{2}\implies \cfrac{95}{2}\implies 47.5[/tex]
Isabel created the table of x and y values shown here. O 2 14 6 19 Which equation represents the relationship between the x values and the y values in Isabel's table? A y = 4x + 4 C y= 2.5x + 4 B y= 2x + 4 Dy=4x+1
The equation that represents the relationship between the x values and the y values in Isabel's table is y = 5/4 x - 11.5
Linear functionsLinear functions are functions that have a leading degree of 1. The linear equation is expressed as:
y = mx + b
where:
m is the slope
b is the y-intercept
Using the coordinate points (2, 14) and (6, 19)
Determine the slope
Slope = 19-14/6-2
Slope = 5/4
For the y-intercept
14 = 5/4(2) + b
14 = 2.5 + b
b = 11.5
Determinethe required linear equations
y = 5/4 x + 11.5
Learn more on linear equation here https://brainly.com/question/1884491
QUESTION 25 The area of the triangle shown is 54cm. The ratio of side to side is 3:4 What is the length of side in centimetres? A 6 B.9 C, 12 D. 15
Answer:
15
Step-by-step explanation:
Diagram would be helpful.... I am assuming this is a right triangle with legs ratio 3:4
Helppp!!! Find the value of
x
xx in the triangle shown below.
x
=
x=x, equals
∘
∘
degrees
Answer:
68
Step-by-step explanation:
Khan
Which expression is equivalent to (x^1/4y^16) ^1/2
Answer:
x^1/8 y^8
Step-by-step explanation:
= x^(1/4 * 1/2) y^(16 * 1/2) =
Hal has 4/8 yard of string. How many 1/12 yard pieces of string can he cut from 3/4 yard?
Answer:
9
Step-by-step explanation:
3/4=0.75
1/12=0.0833333333
(3/4)/(1/12)=9
Wanwan is 1.69 m tall and is flying a kite. She holds the string of the kite just above her head. The string is 80 m long and makes, x°, between 54° and 55° with the horizontal. Assuming that the string is taut, estimate (2 decimal places) the vertical height of the kite from the ground
Since, the kite is taut the vertical height of the kite from the ground is 66.82 meters
What is a right angle triangle?A right angle triangle has one of its angles as 90 degrees. The sides and angles can be found using trigonometric ratios.
Therefore, the string length is the hypotenuse side. The angle formed is between 54 degree to 55 degrees. Therefore,
sin 54.5 = opposite / hypotenuse
sin 54.5 = h / 80
cross multiply
h = 80 × sin 54.5
h = 80 × 0.81411551835
h = 65.1292414685
Therefore, the vertical height of the ground from the ground is as follows:
vertical height = 65. 13 + 1.69 = 66.82 meters
learn more on right triangle here: https://brainly.com/question/22257626
GIVING BRAINLEST TO THE PERSON THAT CAN EXPLAIN HOW TO DO THIS THE BEST :)
what is 100 - 100 -10 equal it does not equal -10 though that answer is wrong
Hey there!
100 - 100 - 10
= 0 - 10
START at 0 and go UP 10 spaces
= -10
Thus, yes it does equal to -10
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
what is lim x -> 7 ... (see image)
Answer:
I think 1/6
Step-by-step explanation:
because 2-3/1-7= -1/-6 so (-)and(-) is a (+)
so 1/6
Describe any patterns observed between buffer capacities and the concentration of acid or base in each buffer solution.
The higher the concentration of species in solution, the higher the buffer capacity.
What is a buffer?A buffer is a substance that mitigates against changes in acidity and alkalinity. The buffer capacity has to do with the greatest amount of acid/base that the buffer can effectively neutralize without a significant change in the pH of the solution.
We must know that the higher the concentration of species in solution, the higher the buffer capacity of the solution for any given ratio of [HA] to [A⁻] concentration.
Learn more about buffer: https://brainly.com/question/3435382?