Answers
Answer:
Step-by-step explanation:
ST=SU
5x=3x+32
5x-3x=32
2x=32
x=32/2=16
ST=5×16=80
TU=80
SU=2×80=160
Related Questions
The monthly rents (in dollars) paid by 9 people are given below.
(Note that these are already ordered from least to greatest.)
mean,median.
780,910,980,1000,1025,1045,1070,1095,1185
Suppose that one of the people moves. His rent changes from 1185 to 100
Answers
Answer:
increases by 30
Step-by-step explanation: its right
helppp !!!
Mrs. Massoth blended 1 3/4 gallons of iced tea and some
lemonade for a picnic. If there were 4 1/2 gallons of the
beverage, how many gallons of lemonade did she use?
Answers
Answer: 2 3/4
Step-by-step explanation: 1/4 + 3/4 is 1 whole plus 1/4+1/4 would equal the 1/2 you need.
So we are up to 3/4 already. 1 3/4 + 3/4 = 2 1/2
We need to add 2 more to get to 4 1/2
So the answer would be 2 3/4
2 3/4 + 1 3/4 = 4 1/2
If p =(-4,6), find the image of p under the following rotation. 90 counterclockwise about the origin
Answers
The image of point P under a 90-degree counter Clockwise rotation about the origin is (-6, -4).
To find the image of point P = (-4, 6) after a 90-degree counterclockwise rotation about the origin, we can use the following formula:
(x', y') = (xcosθ - ysinθ, xsinθ + ycosθ)
where (x, y) are the coordinates of the original point, θ is the angle of rotation, and (x', y') are the coordinates of the rotated point.
In this case, θ = 90 degrees, so we have:
(x', y') = (-4cos90 - 6sin90, -4sin90 + 6cos90)
= (-6, -4)
Therefore, the image of point P under a 90-degree counterclockwise rotation about the origin is (-6, -4).
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pls answer will give brainliest answer
Answers
Answer:
∠A= ∠E, ∠H = ∠D
and the last one
Step-by-step explanation:
opposite angles are equal, alternative interior angle are equal.
Answer:
∠A = ∠E and ∠H = ∠D.
∠E = ∠H and ∠F = ∠G
Step-by-step explanation:
Angles A and E are one set of corresponding angles and angles H and D are another set. Corresponding angles are always congruent to each other and thus equal. Therefore, ∠A = ∠E and ∠H = ∠D.
Angles E and H are one set of vertical angles and angles F and G are another set. Vertical angles are also always congruent to each other and thus equal. Therefore ∠E = ∠H and ∠F = ∠G
Solve the SYSTEM:
2x - 3y = 12
3x - 2y = 13
Answers
Answer:
x =69 y= 420
Step-by-step explanation:
69⁹99999999999999999999999999999999999
kerry is going to use these instructions to make a fizzy drink
mix 7 parts apple juice with 3 parts lemonade
kerry thinks that she has 280ml of applejuice and 180 ml lemonade.
if kerry is correct what is the greatest amount of fizzy drink she can make?
second part:
kerry has 280 ml of applejuice but only has 160 ml of lemonade.
Does this affect the greatest amount of fizzy drink she can make?
Give a reason for your answer.
Answers
a) She can make 400 milliliters of the fizzy drink.
b) The change does not affect the greatest amount of drink.
If kerry is correct what is the greatest amount of fizzy drink she can make?We know that the fizzy drink is 7 parts apple juice and 3 parts lemonade. And Kerry thinks that she has 280ml of apple juice and 180 ml lemonade.
If we divide the total amount of apple juice in 7 parts, then each part has:
280ml/7 = 40ml
Then we need 3 parts of 40ml of the lemonade, this is:
3*40ml = 120ml
Then the total amounf of drink fizz that she can make is:
280ml + 120ml = 400ml.
b) Now she has 160 ml of lemonade, but she needs 120 ml of it, so this change does not affect the greatest amount of fizzy drink she can make.
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Here is a picture of some sea animals. The number line on the left shows the vertical position of each animal above or below sea level, in meters.
1. How far above or below sea level is each animal? Measure to their eye level.
2. A mobula ray is 3 meters above the surface of the ocean. How does its vertical position compare to the
height or depth of:
The jumping dolphin?
The flying seagull?
The octopus?
3. An albatross is 5 meters above the surface of the ocean. How does its vertical position compare to the
height or depth of:
The jumping dolphin?
The flying seagull?
The octopus?
4. A clownfish is 2 meters below the surface of the ocean. How does its vertical position compare to the
height or depth of:
The jumping dolphin?
The flying seagull?
The octopus?
5. The vertical distance of a new dolphin from the dolphin in the picture is 3 meters. What is its distance from the surface of the ocean?
Answers
Answer:
How far above or below sea level is each animal? Measure to their eye level.The jumping dolphin is approx. 6 meters under sea level
The flying seagull is approx. 8 meters under sea level
The mobula ray is approx. 2 meters under sea level
The clownfish is approx.t 4 meters under sea level
The octopus is approx. 8 meters under sea level
A mobula ray is 3 meters above the surface of the ocean. How does its vertical position compare to the height or depth of:The jumping dolphin: The mobula ray is 9 meters lower than the jumping dolphin.
The flying seagull: The mobula ray is 11 meters lower than the flying seagull.
The octopus: The mobula ray is 11 meters higher than the octopus.
An albatross is 5 meters above the surface of the ocean. How does its vertical position compare to the height or depth of:The jumping dolphin: The albatross is 1 meter lower than the jumping dolphin.
The flying seagull: The albatross is 3 meters lower than the flying seagull.
The octopus: The albatross is 13 meters higher than the octopus.
A clownfish is 2 meters below the surface of the ocean. How does its vertical position compare to the height or depth of:The jumping dolphin: The clownfish is 8 meters lower than the jumping dolphin.
The flying seagull: The clownfish is 10 meters lower than the flying seagull.
The octopus: The clownfish is 6 meters higher than the octopus.
The vertical distance of a new dolphin from the dolphin in the picture is 3 meters. What is its distance from the surface of the ocean?If the new dolphin is above the dolphin in the picture, then its distance from the surface of the ocean is 6 - 3 = 3 meters.
If the new dolphin is below the dolphin in the picture, then its distance from the surface of the ocean is 6 + 3 = 9 meters.
✧☆*: .｡. Hope this helps, happy learning! (✧×✧) .｡.:*☆✧
Which table of values matches the equation y = 3x - 3?
Answers
-3 - 3 = -6 therefore, the second table matches the equation y= 3x -3
Vector v = (2,1). What operation has been performed on v to result in the vector that is shown?
Answers
The operation that has been performed on v to result in the vector that is shown is multiplication by -1.
How to explain the vectorThe vector that is shown is (-2, -1). This can be obtained from vector v = (2, 1) by multiplying it by -1. Multiplying a vector by a negative number reverses its direction.
Multiplication of a vector by a number is performed component-wise. This means that each component of the vector is multiplied by the number. In the case of (-1) * (2, 1), each component is multiplied by -1. This results in the vector (-2, -1).
Here is the mathematical equation:
(-1) * (2, 1) = (-2, -1)
Therefore, the operation that has been performed on v to result in the vector that is shown is multiplication by -1.
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Which of the following is the point and slope of the equation y + 2 = 2(x - 8)?
-8, 2), 2
(2, -8), 2
(8, -2), 2
(-2, 8), 2
Answers
The sector of a circle has an area of 104pi/9
square inches and a central angle with measure 65 degree
. What is the radius of the circle, in inches?
Answers
Answer:
Given:
Area of the sector (A) = 104π/9 square inches
Central angle (θ) = 65 degrees
The formula for the area of a sector of a circle is:
A = (θ/360) * π * r^2
We can rearrange this formula to solve for the radius (r):
r^2 = (A * 360) / (θ * π)
Plugging in the given values:
r^2 = (104π/9 * 360) / (65 * π)
r^2 = (104 * 40) / 9
r^2 = 4160 / 9
r^2 ≈ 462.22
Taking the square root of both sides:
r ≈ √462.22
r ≈ 21.49
Therefore, the radius of the circle is approximately 21.49 inches.
Answer: 8 inches
Step-by-step explanation:
In △JKL , if m∠ J < 90° , then ∠K and ∠L are _____
Answers
Both angle K and angle L must be acute angles, measuring less than 90 degrees, in order to satisfy the conditions of the given triangle.
In triangle JKL, if angle J is less than 90 degrees, then angle K and angle L are both acute angles.
An acute angle is defined as an angle that measures less than 90 degrees. Since angle J is given to be less than 90 degrees, it is an acute angle.
In a triangle, the sum of the interior angles is always 180 degrees. Therefore, if angle J is less than 90 degrees, the sum of angles K and L must be greater than 90 degrees in order to satisfy the condition that the angles of a triangle add up to 180 degrees.
Hence, both angle K and angle L must be acute angles, measuring less than 90 degrees, in order to satisfy the conditions of the given triangle.
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Pencil boxes measuring 20 cm x 12 cm x 8 cm are packed in a wooden box
measuring 144 cm x 20 cm x 10 cm. How many pencil boxes are packed in the
wooden box?
Answers
Note that where Pencil boxes measuring 20 cm x 12 cm x 8 cm are packed in a wooden box measuring 144 cm x 20 cm x 10 cm, there will be 15 pencil boxes packed in the wooden box. The above is solved by computing for the volume of a cuboid.
What is a cuboid?Note that a cuboid is a hexahedron, or six-faced solid, in geometry. It has quadrilateral faces. Cuboid implies "like a cube," in the sense that a cuboid may be turned into a cube by altering the length of the edges or the angles between edges and faces. Note that both the pencil box and the wooden box are cuboids.
Given that:
The measure of the pencil box = 20cm × 12cm × 8cm.The measure of wooden box = 144cm × 20cm × 10cm,to find the Number of pencil boxes are packed in a wooden box.
We must Divide the Volume of the Wooden box by the Volume of the pencil box.
Volume of the Pencil box = L * B * H; which is:
20 * 12 * 8
= 1,920 cm³
While the Volume of the wooden box is:
144 x 20 x 10
= 28,800cm³
Thus, the number of pencil boxes that will fit is:
28,800/1920
= 15
Thus, only 15 pencil boxes can be packed into wooden box.
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which product is less than 111
31/55x111
31/31x111
55/55x111
55/31x111
Answers
Answer:
31/55 * 111
Step-by-step explanation:
For all the other products, the number before the slash is greater than, or equal to the number after the slash. This means that the fraction is greater than or equal to 1 and thus a bigger product. For 31/55 however, the value is less than 1 (0.56) and thus, the actual product will be less than 111.
You invest AED 5000 in a saving account that earns 4% interest each year. If you do not use the account for a year, how much money will you have in your account after a year?
Answers
Answer:
5200 AED or 1404 USD
Step-by-step explanation:
You have 5000 in your account. If your money grows 4% each year, it's basically like multiplying by 1.04.
5000 * 1.04 = 5200
If the question is asking in USD, the conversion rate from AED to USD is
AED * 0.27 = USD
We can substitute
5200 AED* 0.27 = 1404 USD.
Find the Principal when the Interest is $200, the Rate is 3%, and the time is 18 months.
Answers
Answer:
Step-by-step explanation:
Find the P-value for the hypothesis test with a standardized test statistic z. Decide whether toreject the null hypothesis for the level of significance α.a. Left-tailed test, z = -1.32, α = 0.10b. Right-tailed test, z = 2.46, α = 0.01c. Two-tailed test, z = -1.68, α = 0.05
Answers
Answer:
1.) We don't reject the null
2.) We reject the Null
3.) We do not reject the null
Step-by-step explanation:
Obtaining p values using test statistic:
Given that ; we have a standardized test statistic and α - values ;
Let's define the decision region :
If Pvalue < α ; Reject H0 ; otherwise, fail to reject H0
A.)
Left tail , Z = - 1.32 ; α = 0.10
We can use the Pvalue calculator from Z score :
Pvalue = 0.934
Pvalue > α ; Hence, we fail to reject the null, H0
B.)
Right-tailed test, z = 2.46, α = 0.01
Pvalue from Zscore calculator ;
Pvalue = 0.0069
Pvalue < α ; Hence, we reject the null, H0
C.)
Two-tailed test, z = -1.68, α = 0.05
Pvalue from Zscore calculator ;
Pvalue = 0.093
Pvalue > α ; Hence, we fail to reject the null, H0
Kim is packing eggs into boxes. Each box holds 6 eggs. She has 94 eggs. What is the smallest number of boxes she needs to pack all the eggs?.
Answers
Answer: The smallest number of boxes she needs to pack all the eggs is 15.67,
Step-by-step explanation:
On a piece of paper, graph f(x) = (4x≤3. Then determine which answer
12 if x > 3
choice matches the graph you drew.
Answers
The graph of the piecewise function is the one in option D-
Which one is the graph of f(x)?First, we know that:
f(x) = 4 when x ≤ 3
So, we want to have a horizontal line in the left side of the graph, such that it ends in a closed circle at x = 3 (we need to have a closed circle because the symbol ≤ is used).
From the given graphs, the only one with that form is D.
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What is the ratio of vowels to consonants?
MATHEMATICS
Answers
Answer:
3 to 10
Step-by-step explanation:
Vowels are a, e, i, o, u, sometimes y
Vowels + consonant = Total letters
6 + consonant = 26
vowels to consonants = 6 to 20 = 3 to 10
7 Convert 34.5 degrees Celsius to
7)
Farenhet using the formula a
1.F
'F=(9 15) ic +32one
b) or
C) 32.05 h
be
d) 94.1
ut
ta) 62.1
Answers
Answer:
94.1 °F
Step-by-step explanation:
The formula is ...
F = 9/5C +32
Using 34.5 for C, we get ...
F = 9/5(34.5) +32 = 62.1 +32 = 94.1
34.5 °C = 94.1 °F
Part 1: 12% annual interest on 132000 for 8 days
Part 2: 12% annual interest on 106,750 for 20 days.
If it helps, it's a 5 year note. Assuming 365 days in a year.
Answers
The interest for Part 1 is approximately $385.10.
The interest for Part 2 is approximately $709.31.
To calculate the interest for Part 1 and Part 2The formula is as follows:
Interest is calculated as follows: Principal * Rate * Time
Where
Principal represents the starting sumThe interest rate is rateTime measures length in years.Part 1:
$132,000 is the principal.
(Decimal) Rate = 12% = 0.12
Time = 8 days/365 days.
How much interest is there in Part 1?
Interest is calculated as follows : $132,000 * 0.12 * (8/365) = $385.10
Therefore, the interest for Part 1 is approximately $385.10.
Part 2:
$106,750 as the principal
(Decimal) Rate = 12% = 0.12
Time = 20 days / 365 days.
How much interest will there be in Part 2
Interest is calculated as follows : $106,750 * 0.12 * (20/365) = $709.31
Therefore, the interest for Part 2 is approximately $709.31.
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-8/9 + (-2)/57
find the absolute value of the following rational number
Answers
The absolute value of the Rational number -474/513 is 474/513.
To find the sum of the rational numbers -8/9 and -2/57, you need to have a common denominator. The least common multiple (LCM) of 9 and 57 is 513. So, you can rewrite the fractions with a common denominator:
-8/9 = (-8/9) * (57/57) = -456/513
-2/57 = (-2/57) * (9/9) = -18/513
Now, you can add the fractions:
-456/513 + (-18/513) = (-456 - 18)/513 = -474/513
To find the absolute value of the rational number -474/513, you simply ignore the negative sign and take the value as positive:
| -474/513 | = 474/513
Therefore, the absolute value of the rational number -474/513 is 474/513.
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The cost of petrol is 60 rupees per litre a petrol bunk sells 750
litre s of petrol one day. how much money do they get At The end of the day
Answers
Answer:
45000rupees
Step-by-step explanation:
cost of 1 litre of petrol=60rupees
cost of 750 litres of petrol=750×60rupees
=45000rupees
Which is an equivalent expression for 6(2y+4)+5y?
please help
Answers
Answer:
17y+24
Step-by-step explanation:
simplify so the first step would be to multiply whats in the parentheses by the number outside in this case its 6 youd get:
12y+24+5y
then you simplify farther by adding like terms
17y+24
Átomo de un hidrógeno tiene un diámetro de 5 x 10-8 mm. En forma usual es:
Answers
La forma usual se refiere al número expresado sin notación científica.
Para obtener la forma usual, solo tenemos que mover la coma decimal 8 lugares hacia la izquierda.
\(5\times10^{-8}\operatorname{mm}=0.00000005\operatorname{mm}\)Por tanto, la forma usual es 0.00000005 mm.(a) plot a scatter diagram. does it appear that a simple linear regression will be a suitable model?
Answers
On a scatter diagram, you can see outliers if there is a regression line. The point or points that are furthest distant from the regression line are considered outliers in a scatter diagram.
How is a scatter plot related to simple linear regression?In a scatter plot, dots are used to show the values of two separate numerical variables. To see how different variables relate to one another, utilize scatter plots. The link between an independent and dependent variable is shown as a straight line in a linear regression.
How do you know if a linear model is appropriate for a scatter plot?If a linear model is adequate, the residuals scatterplot should display random scatter and the histogram should appear about normal. The linear model is inappropriate if we see a curved connection in the residual plot. The residuals are displayed against the explanatory variable in a different form of residual plot.
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Plot the point whose spherical coordinates are given. Then find the rectangular coordinates of the point.
(a) (7, π/3, π/6)
(x, y, z) =
(b) (6, π/2, 3π/4)
(x, y, z) =
Answers
Answer:
A) (x, y, z) = ( 7/4 , \(\frac{7\sqrt{3} }{4} , \frac{7\sqrt{3} }{2}\) )
B) (x, y, z) = ( 6 , \(\frac{\pi }{2}, \frac{3\pi }{4}\) )
Step-by-step explanation:
A) ( 7, π/3, π/6)
(x, y, z) = ( 7/4 , \(\frac{7\sqrt{3} }{4} , \frac{7\sqrt{3} }{2}\) )
B) (6, π/2, 3π/4)
(x, y, z) = ( 6 , \(\frac{\pi }{2}, \frac{3\pi }{4}\) )
attached below is the plot of the points and the detailed solution
Misty’s surgery lasted 214 hours. Convert the time to seconds.
Answers
Answer:
770,400
Step-by-step explanation:
770,400 seconds
A submarine dives 675 feet every 5 minutes and 5,400 feet every 40 minutes. Find the constant rate at which the submarine dives. Enter your answer in feet per minute and feet per hour.
The submarine dives________ feet per minute.
The submarine dives __________ feet per hour
Answers
Answer:the submarine dives 150 feet per minute
Step-by-step explanation: feet per minute
300/2 = 6750/45 = 150 ft/minute
Since submarines dive quickly, and need to be able
to respond rapidly to sudden changes in conditions,
it is more reasonable to use feet per minute. If we work
in feet per hour at this speed we would need to convert
the data back to feet per minute in order to ensure we
don't dive too deep.
Dn = Dn-1 + 150m
where Dn is depth, Dn-1 is previous depth,
and m is number of minutes diving.