Given:
A fruit salad recipe calls for [tex]\dfrac{3}{4}[/tex] pound of apples and [tex]\dfrac{2}{5}[/tex] pound of dates.
To find:
The least common denominator of the fractions.
Solution:
The given fractions are:
[tex]\dfrac{3}{4}[/tex] and [tex]\dfrac{2}{5}[/tex]
The denominators of these fractions are 4 and 5 respectively.
Factor form of 4 is 2×2.
5 is a prime number, so factor form of 5 is 5×1.
Now, the least common denominator of the fractions is:
[tex]LCD=2\times 2\times 5[/tex]
[tex]LCD=20[/tex]
Therefore, the least common denominator of the fractions is 20.
Ahmed doubled his savings, then deposited another hundred dollars. Let s represent the amount he originally had in savings. Which shows an expression to represent his current amount and the current value of his account if s = 80?
StartFraction s Over 2 EndFraction + 100; when s = 80 the latest balance of Ahmed’s savings is $140
2 s + 100; when s = 80 the latest balance of Ahmed’s savings is $260
s squared + 80; when s = 80 the latest balance of Ahmed’s savings is $6,480
s squared + 100; when s = 80 the latest balance of Ahmed’s savings is $6,500
Answer:
B. 2s + 100 when s=80 the latest balance of Ahmed’s savings is $260
Step-by-step explanation:
We are given that the savings = $s and current amount $c.
Now, Ahmed has doubled his savings. This means that the new savings = $2s
Also, he had deposited $100.
So, the current amount of Ahmed is given by c = 2s + 100.
Moreover, if the savings is $80 i.e. s = 80, the current amount is,
c = 2 × 80 + 100
i.e. c = 160 + 100
i.e. c = 260
So, the current amount if savings is $80 is $260.
Hence, the expression for current amount is 2s + 100 and if s = 80, the current amount is $260.
la tristeza es una magnitud
En este estudio, la depresión, la ansiedad y el estrés generales fueron significativamente altos. Hay varios factores asociados con la depresión, la ansiedad y el estrés. Diseñar e implementar str a medida
Espero que esto te ayude ❤️
need help question 15
Answer:
To divide by (x+1) in synthetic division, you divide by -1.
-1 1 -7 4 12
-1 8 -12
—————————-
1 -8 12 0
This gives us x^2 -8x +12x which factors to (x-2) (x-6). We still have the factor of (x+1) so the zeros will be 2, 6, and -1.
Step-by-step explanation:
The function g is defined by g(x) = 2x² +7.
Find g(4y).
Answer:
32y² + 7
Step-by-step explanation:
To evaluate g(4y) substitute x = 4y into g(x) , that is
g(4y) = 2(4y)² + 7 = 2(16y²) + 7 = 32y² + 7
find the common difference of the arithmetic sequence -1, -6, -11
Answer:
+-5
Step-by-step explanation:
[tex] - 1 + - 5 = - 6[/tex]
[tex] - 6 + - 5 = - 11[/tex]
Answer:
5
Step-by-step explanation:
The common difference id the difference between two consecutive numbers in the sequence.
(1) -11-(-6) = -11 + 6 = 5
(2) -6-(-1) = -6 + 1 = 5
Therefore 5 is the common difference.
Hope it helps you.
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Thank You
Angles equation for geometry.
Answer:
40 degrees
Step-by-step explanation:
Since we have the diameter included in the triangle, the angle at B is 90
This is because angle at center is two times the angle at the circumference
Since we have the diameter, the angle at the center will be 180 degrees so the angle A at the circumference will be 90 degrees
Now, let us use the measure of the arc given
The angle at C is half of 100 which makes it 50
This is according to an angle arc relationship
Lastly, the sum of angles in a triangle is 180 degrees
We already have two angles and we need the last
so we have to add what we have already and subtract from 180 to get the angle we are looking for
So we have the angle as 180-(90 + 50) = 180 -140 = 40
Kayla works in a department store selling clothing. She makes a guaranteed salary of $300 per week, but is paid a commision on top of her base salary equal to 5% of her total sales for the week. How much would Kayla make in a week in which she made $1075 in sales? How much would Kayla make in a week if she made xx dollars in sales?
Answer:
$353.75
0.05x + 300
Step-by-step explanation:
1075 x 0.05 = 53.75 + 300 = 353.75
0.05x + 300
help me with this math question please I'm giving away brainliests
Answer:
2 AND -10
Step-by-step explanation:
Answer:
domain: all real numbers except 2 and -10; x-intercept: 4; y-intercept: 1/5
Step-by-step explanation:
The domain consists of the set of all possible values x can be. In a fraction, the denominator cannot be equal to 0. We can solve for the values x cannot be equal to by factoring and exclude them out of the domain once we’ve found them:
To factor x^2 + 8x - 20, we are looking for two numbers that have a product of -20 and a sum of 8. These two numbers are 10 and -2. So, it can be factored to:
(x + 10)(x -2) not equal 0
So x ≠ 2 and x ≠ -10.
To find the x-intercept, the value of y would be zero. We can substitute y as 0 to get:
0 = (x - 4) / x^2 + 8x - 20
The only way for this fraction to equal 0, is for the numerator to be 0. We get the equation:
x - 4 = 0,
And x = 4
To find the y-intercept, the value of x would be 0. We can substitute x with 0 to get:
y = -4 / -20 = 1/5
These answers align with the second option.
BRO PLS HELP MEEEE I WANNA GET STRAIGHT A’s
Mr. James will solve the equation 150x = 2200 for x in one step. Which proportion is the MOST appropriate step for Mr. James to use?
Answer:
14.67
Step-by-step explanation:
Mr. James will solve the equation 150x = 2200 for x in one step. Which proportion is the MOST appropriate step for Mr. James to use?
We have the Equation
150x = 2200
Divide both sides by 150
150x/150 = 2200/150
x = 14.666666667
Approximately x= 14.67
Answer:
divide each side by 150
Step-by-step explanation:
You want to spin blue. Does it matter which spinner you spin? Explain
Answer:
No, they both have a 2/6 (1/3) chance of spinning blue.
Denise build two seawall to keep rising the water from her house. The first is 8.75 meter long. The second is 37.5 percent longer than the fist. How long is the second seawall?
Answer:
12.0 meters
Step-by-step explanation:
Given data
The first is 8.75 meters long
Let us find 37.5% of 8.75
=37.5/100*8.75
=0.375*8.75
=3.28125
Hence the Second seawall is
=3.28125+8.75
=12.0 meters
describe fully the single transformation that takes shape p onto shape q
Answer:
The single transformation that takes shape 'p' onto shape 'q' is a dilation by a scale factor of 3 with the center point (1, 0)
Step-by-step explanation:
The coordinates of the vertices of shape ΔP are;
A(2, 3), B(2, 1), C(3, 1)
The length AB = 3 - 1 = 2
The length CB = 3 - 2 = 1
∴ The length AC = √(2² + 1²) = √5
The coordinates of the vertices of shape ΔQ are;
A'(4, 9), B'(4, 3), C'(7, 3)
The length A'B' = 9 - 3 = 6
The length C'B' = 7 - 3 = 3
∴ The length A'C' = √(6² + 3²) = √(45) = 3·√5
∴ Figure Q ΔA'B'C' is a dilation of figure P ΔABC by a scale factor of A'B'/AB = 6/2 = 3
The distance of point B(2, 1) from the point (1, 0) = √((2 - 1)² + 1²) = √2
The distance of point B'(4, 3) from the point (1, 0) = √((4 - 1)² + 3²) = 3·√2
Therefore, the distances of points on figure Q from (1, 0) = 3 × the distances of points on figure from (1, 0)
Therefore, figure 'Q' can be obtained from figure 'P' by a dilation of figure 'P' by a scale factor of 3 with the center of dilation at point (1, 0).
The owner of a music store wanted to box a shipment of 1,532 CDs in 36 boxes. If he puts them evenly in the 36 boxes, how many will be left over?
Answer:
The owner has
Step-by-step explanation:
36 x 36 = 1296, he has 36 boxes so he put 36 in each box, so there would be 1, 18 CDs, and there would be no boxes left.
A jar contains 2 orange, 4 green, 2 white and 2 black balls. What is the probability of drawing an orange ball without putting it back, then drawing a black ball? (write your answer as a simplified fraction)
Answer:
2/45
Step-by-step explanation:
We are told that:
A jar contains 2 orange, 4 green, 2 white and 2 black balls.
The total number of balls in the jar is calculated as:
2 orange balls + 4 green balls + 2 white balls + 2 black balls = 10 balls
The probability of drawing an orange ball = P(Orange) = 2/10
The probability of drawing a black ball = P(Black) = 2/10
Therefore, the probability of drawing an orange ball without putting it back, then drawing a black ball is calculated as:
2/10 × 2/9 = 4/90
= 2/45
Where the population standard deviation is known, the test statistic is determined to be -2.5. What is the p-value for this test?
Answer:
[tex]P(Z<-2.5) =0.0062097[/tex]
Step-by-step explanation:
From the question we are told that:
Test statistic t =-2.5
Generally the equation for Test for statistics is mathematically given by
[tex]t=\frac{\=x-\mu}{\frac{s}{\sqrt{n} } }[/tex]
[tex]t=-2.5[/tex]
Therefore
P-value from Z table is
For left tailed test
[tex]P(Z<-2.5) =0.0062097[/tex]
therefore the P-value for the test is
[tex]P(Z<-2.5) =0.0062097[/tex]
The low temperatures in a town for eight consecutive days, in degrees Fahrenheit, are
-2, -5, 10, 6, -3, 5, 3, -2. Find the median.
Answer:
The Median is 0.5
Step-by-step explanation:
what is the quotient of the following rational expression?
Answer: i cant see it
Step-by-step explanation:
Answer: It's the second one
Step-by-step explanation:
Given the figure below find the value of x and d
Answer:
x = 2
z = 118
Step-by-step explanation:
The angle with a measure of 118° and the angle labeled "x" are vertical angles
As we know, vertical angles are congruent
Thus, because x's vertical angle equals 118° x also equals 118°
The angle with a measure of 118° and the angle labeled by the expression ( 12x + 38 ) are supplementary angles
Supplementary angles add up to equal 180
Thus, 12x + 38 + 118 = 180
^Note that this is the equation we will use to solve for x
12x + 38 + 118 = 180
step 1 combine like terms
118 + 38 = 156
we now have 12x + 156 = 180
step 2 subtract 156 from each side
156 - 156 cancels out
180 - 156 = 24
we now have 24 = 12x
step 3 divide each side by 12
12x / 12 = x
24 / 12 = 2
we're left with x = 2
What are the coordinates of the vertex of the table?
Answer:
B
Step-by-step explanation:
I cant explain it but its B
pls help me with this
Answer:
D at 8.8
im not sure brainliest please ok
Answer:
The answer is C at 8.1.
Step-by-step explanation:
To find [tex]\sqrt{66}[/tex], start by finding the two consecutive perfect squares that 66 lies between them. The two perfect squares are 64 ([tex]8^{2}[/tex]) and 81 ([tex]9^{2}[/tex]). So, the whole number part of the square root of 66 will be 8.
Now, for the decimal part, use the following formula:
(Given number - Smaller perfect square) / (Greater perfect square - Smaller perfect square)
Then, put in the known information, which will look like:
(66 - 64)/(81 - 64) = 2/17 = 0.117
Finally, [tex]\sqrt{66}[/tex] is 8.117, so the answer is C at 8.1.
(5x+3)(5x+3)gghhhhhhhh
Answer:
25x^2 + 30x + 9
help me with my math both question please
Answer:
whats the question...
Step-by-step explanation:
What is the most specific name for the figure?
A(-4a, -2b)
B(-8a, -2b)
C(-4a, b)
D(0, b)
B
А
A. Parallelogram
B. Rectangle
C. Square
D. Rhombus
rhombus is the answer.....
Answer: is parallelogram
Step-by-step explanation:
can someone help with surface area. I'll give them brainlyest
Answer:
To fine the surface area is to add all the area of the faces
a scuba diver, who was 25 2/3 feet beneath the surface of the water, descended 5 1/2 feet. from this depth, how many feet must the diver rise to return to the surface?
Answer:
31 1/6 feet
Step-by-step explanation:
add 25 2/3 to 5 1/2 to see how far under the surface he is; use common denominator of 6
25 4/6 + 5 3/6 = 30 7/6
30 7/6 is the same as 30 + 1 1/6 so diver must ascend 31 1/6 feet
I am Desperate for answer
The mean is 8 and the lower quartile is 6.
a yellow box contains 400 tickets that come in three colours. Blue, green, and yellow. the ratio of blue to green tickets is 1:3. the ratio of green to yellow tickets is 1:4. what aid the smallest number of tickets that must be drawn from the box to ensure that at least 50 tickets of one colour have been selected
EASY BRAINLIEST PLEASE HELP!!
-if you answer correctly ill give you brainliest which will give you 100pts-
(if you put links or don't answer accordingly im reporting your account)
Answer:
Solution given:
Since it is a isosceles trapezoid so it diagonal will be congruent so
PR=QS
PT+RT=12cm
4.9+RT=12cm
RT=12-4.9
RT=7.1cm
PS=QR
QR=9cm
m<QPR=44° base angle of isosceles triangle
m<PTQ=180°-44-44=92°[interior angle remaining of traingle]
m<STR=m<PTQ
m<STR=92°
Help please?!?!??!?!!!?!?!?!?!?!?!?!!?!?!?
Answer:
16.7%
Step-by-step explanation:
Probability is defined by the formula: the number of desirable outcomes over the total outcomes. The total number of outcomes is the sum of all shoes that he could possibly pick:
5 + 7 + 1 + 4 + 6 + 8 + 2 + 3 = 36
And the desirable outcomes are those where he picks brown boots, which is 6 outcomes.
Using the formula for probability, we get the expression: 6/36 to represent the probability. It simplifies to 1/6 which is about 16.7%