San is five years old. His older brother Tom is 3 times older as Sam. When Sam is 20 how old will Tom be?
Multiply. (3x+1)(x−1) Express the answer in standard form.
Answer:
3x2−2x−1
Step-by-step explanation:
How many square feet of outdoor carpet will we need for this hole?
An RV leaving Canada is stopped at customs at the border and weighed. The scale shows a reading of 2.5 tons. What is the weight of the RV in tonnes?
The weight of the RV in tonnes is approximately 2.26796 tonnes.
Explanation:The weight of the RV can be converted from tons to tonnes using a conversion factor. One ton is equal to 0.90718474 tonnes. To find the weight of the RV in tonnes, we can multiply 2.5 tons by the conversion factor:
Weight in tonnes = 2.5 tons x 0.90718474 tonnes/ton = 2.26796 tonnes
Therefore, the weight of the RV in tonnes is approximately 2.26796 tonnes.
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Order these numbers from least to greatest
The train to Sun City travels 150 miles per hour. How long will a trip take if Sun City is 525 miles away?
A. 4 hours
B. 3 hours 30 minutes
C. 3 hours 15 minutes
D. 3 hours
Speed of train is 3 hours 30 minutes
Given that;Speed of train = 150 miles per hour
Distance of Sun city = 525 miles
Find:Speed of train
Computation:Speed of train = Distance of Sun city / Speed of train
Speed of train = 525 / 150
Speed of train = 3.5
Speed of train = 3 hours 30 minutes
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Use point slope form to write the equation of the line that passes through (-3,4) and has a slope of 7
What is circumference of a circle if the diameter is 7 ft
Estimate the circumference of a circle that has a diameter of 13 yards. yards
Answer:
a little bit more than 37.70 yards
Step-by-step explanation:
What is the median of the data set?
{20, 25, 36, 41, 87, 91, 92, 95, 99}
Enter your answer in the box.
The median number means the middle number so the number in the middle would be the answer
Answer:
87
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The squirrel stored seven more than three times as many nuts as the chipmunk. The chipmunk stored x acorns.Write an expression that shows how many acorns the squirrel stored.
the college textbook this year was 197. the following year it was 222. what is the percent change in the price of the book HEEEEELLLLPPPPPP
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Line plots display individual data? True or false?
In the figure, PQ is parallel to RS. The length of RP is 2 cm; the length of PT is 18 cm; the length of QT is 27 cm. What is the length of SQ?
Step 1
Find the value of TS
we know that
if PQ is parallel to RS. then triangles TRS and TPQ are similar
so
[tex]\frac{TR}{TP} =\frac{TS}{QT}[/tex]
solve for TS
[tex]TS =\frac{TR*QT}{TP}[/tex]
we have
[tex]RP=2\ cm\\TP=18\ cm\\QT=27\ cm[/tex]
[tex]TR=TP+RP\\TR=18+2=20\ cm[/tex]
substitute
[tex]TS =\frac{20*27}{18}[/tex]
[tex]TS =30\ cm[/tex]
Step 2
Find the value of SQ
we know that
[tex]SQ=TS-QT[/tex]
we have
[tex]TS =30\ cm[/tex]
[tex]QT=27\ cm[/tex]
substitute
[tex]SQ=30\ cm-27\ cm=3\ cm[/tex]
therefore
the answer is
the value of SQ is [tex]3\ cm[/tex]
Answer: C. 3cm
Step-by-step explanation:
Yesterday, Jed's bank account balance was –$26.34. He deposited some money into his account so that the balance is now $42.18.
How much did he deposit into his account?
$68.52
$15.84
$68.42
$16.84
PLEASE HELP ME!! I AM DOING AN EXAM
BRAINLIEST!!!
Question 18 Unsaved
Melody paid $25.00 for 3 movies & a CD. If the price of each movie was 6.50, what was the price of the CD?
Question 18 options:
$5.50
$11.00
$15.50
$19.50
WILL MARK BRAINLIEST! PLEASE HELP MEH!Use the relationship between the angles in the figure to answer the question. Which equation can be used to find the value of x? Drag and drop the equation into the box.
A) x=180−31+40
B)x=90−40
C)x=180−(31+40)
D)x=90−(31+40)
Answer:
C. [tex]x=180^o-(31^o+40^o)[/tex]
Step-by-step explanation:
We have been given a figure of angles formed on a straight line.
Since we know that the angles on a straight line add up-to 180 degrees. Upon using this property we can set an equation as:
[tex]31^o+x^o+40^o=180^o[/tex]
Let us subtract 40 and 31 degrees from both sides of our equation to solve to x.
[tex]31^o-31^o+x^o+40^o-40^o=180^o-31^o-40^o[/tex]
[tex]x=180^o-31^o-40^o[/tex]
Upon factoring negative sign from right side of our equation we will get,
[tex]x=180^o-(31^o+40^o)[/tex]
Therefore, the equation [tex]x=180^o-(31^o+40^o)[/tex] can be used to find the value of x and option C is the correct choice.
Fossils are remains of organisms found in sedimentary rock. These remains are found in thousands of rock layers around the world and provide evidence for Earth's long history of changing lifeforms. Rock layers that formed more recently A. contain fossils of animals only. B. contain fossils of plants only. C. contain fossils that resemble existing species less closely than do fossils found in older rock layers. D. contain fossils that resemble existing species more closely than do fossils found in older rock layers.
Rock layers that formed more recently contain fossils that resemble existing species more closely than do fossils found in older rock layers.
Explanation:Fossils found in rock layers provide evidence for Earth's long history of changing lifeforms. Rock layers that formed more recently contain fossils that resemble existing species more closely than do fossils found in older rock layers. This is because the more recent layers contain organisms that are more similar to the species that exist today.
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Your class is conducting an experiment to study geometric sequences. The class forms a line . The first person takes a whole pizza and divides it in half ,keeps half and hands the other half to the next person in line . The next people in line do the same with there slices of pizza . Which portion of the whole pizza does the 7th person in line get ? Please help !!!
The 7th person in line get 1/64th part of pizza.
What is Geometric sequence?
An sequence has the ratio of every two successive terms is a constant, is called a Geometric sequence.
Given that;
The first person takes a whole pizza and divides it in half ,keeps half and hands the other half to the next person in line .
And, The next people in line do the same with there slices of pizza .
Now,
Since, The first person takes a whole pizza and divides it in half ,keeps half and hands the other half to the next person in line . The next people in line do the same with there slices of pizza .
Hence, We get the sequence as;
⇒ 1, 1/2, 1/4, 1/8,....
Clearly, The sequence is geometric sequence.
⇒ T (7) = 1 × (1/2)⁶
= 1/64
Thus, The 7th person in line get 1/64th part of pizza.
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Which sequence could be used to transform pentagon p to pentagon Q
Carol wants to find out the favorite foods of students at her middle school. She asks the boys' basketball team about their favorite foods. so would that be random sampling or biased sampling and why?
Tell whether this solution has one, zero or many solutions by solving it -2(z+3)-z=-z-4(z+2)
x^2 + 18x + 50 = 9
Solve by completing the square
Jeff had $20. He spent 1/8 of his money on lunch and 2/5 of his money at the movies. How much money does Jeff have left?
The function h(t) = 150 – 9t represents the height of a ball dropped from 150 feet after t seconds. What will the height of the ball be after 1.4 seconds?
Final answer:
The height of the ball after 1.4 seconds, using the function h(t) = 150 – 9t, is 137.4 feet above the ground.
Explanation:
To determine the height of the ball after 1.4 seconds using the function h(t) = 150 – 9t, we simply need to substitute the value of t with 1.4 seconds into the equation.
By plugging in the given values in the equation, the solution we get will be:
h(1.4) = 150 – 9(1.4) = 150 - 12.6 = 137.4 feet
Therefore, the height of the ball after 1.4 seconds will be 137.4 feet above the ground.
The solution to 7x = 42 is x = ___.
A.4
B.5
C.6
D.7
Answer:
the x value equals 6.
Step-by-step explanation:
When you are solving for x, divide the 42 by 7.
what is this expression 2(5x-1)+14
Why is the library not adding any more fairy tales
Final answer:
The library may not be adding more fairy tales due to decreased demand, a desire to offer a diverse collection, and a strategic choice to provide a balanced collection.
Explanation:
It is possible that the library is not adding any more fairy tales due to a variety of reasons. One reason could be that the demand for fairy tales has decreased among library patrons. Another reason could be that the library wants to diversify its collection and offer a wider range of books to its readers.
Additionally, the library may be focusing on acquiring books from different genres or themes to cater to the interests of its diverse audience.
It is important to note that libraries regularly make decisions about which books to add to their collection based on factors such as popularity, relevance, and availability. The decision to not add any more fairy tales could simply be a strategic choice made by the library to provide a more balanced and comprehensive collection for its readers.
1. For T (-1,2),(7,8): 10
For E (3,-4), (-2,5): 10.3
For A (-7,0), (-4,12): 12.4
For N (1,-5), (-9,-9): 10.8
2. For S (2,6), (3,10): (2.5, 8)
For F (15,-1),(9,-5): (12, -3)
For T (7,-2), (-10,-8): (-1.5, -5)
For E (-3,0), (-11,9): (-7, 4.5)
Here are the distances and midpoints, calculated step by step:
Distances:
T: (-1, 2), (7, 8)
Difference in x-coordinates: 7 - (-1) = 8
Difference in y-coordinates: 8 - 2 = 6
Distance using the Pythagorean theorem: √(8² + 6²) = √100 = 10
E: (3, -4), (-2, 5)
Difference in x-coordinates: -2 - 3 = -5
Difference in y-coordinates: 5 - (-4) = 9
Distance: √((-5)² + 9²) = √106 ≈ 10.3
A: (-7, 0), (-4, 12)
Difference in x-coordinates: -4 - (-7) = 3
Difference in y-coordinates: 12 - 0 = 12
Distance: √(3² + 12²) = √153 ≈ 12.4
N: (1, -5), (-9, -9)
Difference in x-coordinates: -9 - 1 = -10
Difference in y-coordinates: -9 - (-5) = -4
Distance: √((-10)² + (-4)²) = √116 ≈ 10.8
Midpoints:
S: (2, 6), (3, 10)
Midpoint: ((2 + 3)/2, (6 + 10)/2) = (2.5, 8)
F: (15, -1), (9, -5)
Midpoint: ((15 + 9)/2, (-1 - 5)/2) = (12, -3)
T: (7, -2), (-10, -8)
Midpoint: ((7 - 10)/2, (-2 - 8)/2) = (-1.5, -5)
E: (-3, 0), (-11, 9)
Midpoint: ((-3 - 11)/2, (0 + 9)/2) = (-7, 4.5)
Complete question:
Write the exercise letter in the box above the answer at the bottom of the page. Find the distance between the two given points. If necessary, round to the nearest tenth.
T (-1,2),(7,8)
E (3,-4), (-2,5)
A (-7,0), (-4,12)
N (1,-5), (-9,-9)
Find the midpoint between the two given points.
S (2,6), (3,10)
F (15,-1),(9,-5)
T (7,-2), (-10,-8)
E (-3,0), (-11,9)
Four cups of hummingbird food that is 20% corn syrup is mixed with six cups of humming bird food that is 15% corn syrup. What percent of corn syrup is in the mixture??