What are 3 consecutive multiples of 3 if 2/3 the sum of the first two numbers is 1 greater than the third number?
Answer:
the numbers are 15, 18, 21
Step-by-step explanation:
let the 3 consecutive multiples of 3 be:
3x, 3(x+1), 3(x+2)
(2/3)(3x + 3(x+1)) =3(x+2)+1
(2 /3)(6x+ 3) = 3x+6+1
2(2x+1) = 3x + 7
4x + 2 = 3x + 7
x = 5
so:
3x = 15
3(x+1) = 18
3(x+2) = 21
the numbers are 15, 18, 21
A family will travel 225 miles
from their house in order to reach
Austin, Texas. Which inequality
can be used to find all possible
values of t, the time it will take
this family to reach Austin in
hours, if they travel at an average
speed of at least r miles per hour?
Answer:
t ≤ 225r
Step-by-step explanation:
Distance = 225 miles
Time taken = t
Average speed = r miles per hour
Recall :
Speed = distance / time
Time, = distance / speed
t = 225 miles / r
All possible values of t :
t ≤ 225r
Assume that adults have IQ scores that are normally distributed with a mean of and a standard deviation . Find the probability that a randomly selected adult has an IQ less than . The probability that a randomly selected adult has an IQ less than is
Answer:
the probability when the IQ is lower than 136 is 0.9641
Step-by-step explanation:
Given that
The mean is 100
The standard deviation is 20
We need to find out the probability when the IQ is lower than 136
So,
z value equivalent to 136 = (136 - 100) ÷ 20 = 1.8
Now
p (z < 1.8) = 0.9641
hence, the probability when the IQ is lower than 136 is 0.9641
8(2x - 7) = 8 how to show work
Step-by-step explanation:
8(2x-7) =8
16x - 56 = 8
16x = 64
x = 4
1). Distribute 8 and multiply.
2). Add 56 to both sides.
3). Divide both sides by 16.
Let me know of you have any questions!
Answer: Divide both sides by 88.
2x-7=1
2x−7=1
2 Add 77 to both sides.
2x=1+7
2x=1+7
3 Simplify 1+71+7 to 88.
2x=8
2x=8
4 Divide both sides by 22.
x=\frac{8}{2}
x=
2
8
5 Simplify \frac{8}{2}
2
8
to 44.
x=4
x=4
Step-by-step explanation:
The screen at Dallas’ AT&T Stadium is 175 feet wide. A movie theatre screen with similar dimensions is 40 feet wide with a screen area of 1,024 ft². What is the area of the screen at AT&T Stadium? Round to the nearest square foot.
Answer:
The area of the screen at AT&T Stadium is 4,480 square feet.
Step-by-step explanation:
Given that the screen at Dallas' AT&T Stadium is 175 feet wide, and a movie theater screen with similar dimensions is 40 feet wide with a screen area of 1,024 ft², to determine what is the area of the screen at AT&T Stadium the following calculation must be done:
40 = 1,024
175 = X
175 x 1,024 / 40 = X
179,200 / 40 = X
4,480 = X
Thus, the area of the screen at AT&T Stadium is 4,480 square feet.
Factor out the greatest common factor from the terms of the polynomial 2x3 − 5x2 + 25
Answer:
2x³ -5(x²-5)
Step-by-step explanation:
2x3 − 5x2 + 25
=2x³ -5x²+25
=2x³ -5(x²-5)
What is the type of angle pair? (20 points)
Answer:
Alternate interior angles
Step-by-step explanation:
Please mark as brainliest if this has helped you
Answer:
they are alternate angle
[tex]x = 101 \: was \: the \: answer[/tex]
BC they parallel each other
# Jerry Don is here#
What is the Y intercept of the graph of the following linear equation 3X -3 equals Y! BRAIIEST
Answer:
C
Step-by-step explanation:
The equation y=Mx + b, where b is the y intercept
evaluate - ( - 19 ) * ( - 4 ) * ( - 5 )
Answer: 380
Step-by-step explanation:
19 (-4) (-5)
19 * 20
380
Hope this helped :)
PLEASE HELP 7TH GRADE MATH
BRAINLIEST-SHOWS WORK
PLEASE HELP
ANSWE 1 OR MORE AN WILL MARK BRAINLIEST 1 OR MORE
Answer:
Slope=-3/4
Step-by-step explanation:
The slope is the rise/run or y/x
Points given for A are (-4, 3), for B (4, -3)
The formula for slope is m=y^2-y^1/x^2-x^1
https://calcworkshop.com/graphing-linear-equations/slope-formula/
So we'll plug in the information given into the formula.
-4-4/3--3
-8/3+3
-8/6
so our slope is m=-3/4
Use the area of the rectangle to find the area of the triangle.
7
8
O A. The area of the triangle is 15 square feet, because the area of the
rectangle is 30 square feet.
B. The area of the triangle is 56 square feet, because the area of the
rectangle is 56 square feet.
C. The area of the triangle is 28 square feet, because the area of the
rectangle is 56 square feet.
D. The area of the triangle is 28 square feet, because the area of the
rectangle is 28 square feet.
Answer:
C
Step-by-step explanation:
When traveling from air to a solid, what would you expect a sound wave to do?
fluctuate speed
stay the same speed
speed up
slow down
Answer:
the answer is a
Step-by-step explanation:
Mary walks from comer D to comer E to comer F on a city block that measures 264 feet wide and 900 feet long. Kate walks
diagonally across the city block from comer D to comer F. How much less distance did Kate walk than Mary to get to comer
F? Round your answer to the nearest whole foot. Enter only the number.
D
900 feet
264 feet
The solution is
Answer:
Difference between the distances traveled by Mary and Kate = 226 feet
Step-by-step explanation:
By applying Pythagoras theorem in right ΔDEF,
(DE)² + (EF)² = (DF)²
By substituting DE = 264 feet and EF = 900 feet
(264)² + (900)² = (DF)²
DF = √(69696+810000)
= √879696
= 937.92
Distance traveled by Kate diagonally = 938 feet
Distance traveled by Mary = DE + EF
= 264 + 900
= 1164 feet
Difference between the distances traveled by Mary and Kate = DF - (DE + EF)
= 1164 - 937.92
= 226.07
≈ 226 feet
HELP ASAP STEM AND LEAF PLOT MATH
Answer:
there are 2 threes
Step-by-step explanation:
the numbers under 'leaf' are the ones place. since there are only two 3s, that is your answer.
If the perimeter of each of the seven regular hexagons in the figure shown is 24, what is the perimeter of the figure?
Answer:
the answer is 144(that is 6×24)
PLEASE HELP) Given the function ƒ(x) = x and the function g(x) = x – 4, what does the –4 do to the graph of ƒ(x) to get the graph of g(x)?
Answer:
C. Translates the graph 4 units downwards
Step-by-step explanation:
The -4 is the y-intercept which brings the graph down four units
In the function f(x)=[tex]\sqrt{x}[/tex]-4, -4 shows the translation of graph units downwards which is option c.
What is function?Function is relationship between two or more that are variables that are expressed in equal to form. In a function each value of x must have a corresponding value of y which is known as codomain of function.
How to find function?In the function f(x)=[tex]\sqrt{x}[/tex]-4, -4 decreases the value of function by 4 units and because the y axis is vertical line. So the value which is -4 pulls the function downwards by 4 units and this process is known as translation.
Hence in the function f(x)=[tex]\sqrt{x}[/tex]-4, -4 shows the translation of graph units downwards which is option c.
Learn more about function at https://brainly.com/question/10439235
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Lisa knows that A and B are both vertical and supplementary. Which conclusion is true?
A and B are both adjacent
A and B are both 90 degree angles
A and B are both acute angles
A and B are corresponding angles
Answer:
last one i think
Step-by-step explanation:
William friend has 18 dogs 14 cats and 4 guinea pigs what are the ratio
Answer:
18:14:4
Step-by-step explanation:
Cats to dogs: 3 to 4 or 3/4 or 3:4 There are three cats to four dogs. Dogs to cats: 4 to 3 or 4/3 or 4:3 There are four dogs to three cats. Cats to total animals: 3 to 7 or 3/7 or 3:7 There are three cats to all the animals. Dogs to total animals: 4 to 7 or 4/7 or 4:7 There are four cats to all the animals.
PLEASE HELP I CAN'T FAIL THIS!!!
What is the volume of the composite figure if both the height and the diameter of the cylinder are 3.5 feet? Give the exact answer and approximate to two decimal places.
Answer:
3,4 by feet by feet and abroad ahed
Find the radius of a circle that has a sector area of 15.2 ft2 and a central angle
measure of 90°
Answer:
4.399231874 or radical (60.8/pi)
btw radical is square root
Step-by-step explanation:
Since the area of 1/4 (90/360) of the circle is 15.2 ft^2, the area of the whole circle must be
15.2*4 = 60.8.
Now, we can work backwards to find the radius using the are formula. Let's say the radius is x.
x^2pi = 60.8
x^2 = 60.8/pi
x = radical(60.8/pi)
which equation is correct regarding the diagram of circle O?
Answer:m∠XZY = (a – b)
Step-by-step explanation:just took the test and got it right
Joseph spent $1095 on a computer and 5/9 of his remaining money on a camera. He had 1/3 of his original sum of money left.
a) How much money did he have at first?
b) How much did the camera cost?
Plzzzzzz help me I am so desperate... Will give brainliest for the first and correct answers!!
Answer:
sorry i can't explain how but:
a) assuming he spent only 4/9 of the money on the computer, he had $2463.75 at first.
b) since 1/3 is equivalent to 3/9, that means the camera costed 2/9, or $547.50.
The mayor of a town has proposed a plan for the annexation of an adjoining bridge. A political study took a sample of 1500 voters in the town and found that 47% of the residents favored annexation. Using the data, a political strategist wants to test the claim that the percentage of residents who favor annexation is above 44%. Determine the P-value of the test statistic. Round your answer to four decimal places.
Answer:
p-value of the statistics = 0.0096
Step-by-step explanation:
Given - The mayor of a town has proposed a plan for the annexation of an adjoining bridge. A political study took a sample of 1500 voters in the town and found that 47% of the residents favored annexation. Using the data, a political strategist wants to test the claim that the percentage of residents who favor annexation is above 44%.
To find - Determine the P-value of the test statistic.
Proof -
Given that,
H0 : p = 0.44
Ha : p > 0.44
Now,
Test Statistics is
z = (p bar - p)/ sqrt(p(1-p)/n)
= (0.47 - 0.44) / sqrt(0.44(1-0.44)/1500)
= 2.34
⇒z = 2.34
So,
p-value = P(Z > z)
= P(Z > 2.34)
= 0.0096
⇒p-value = 0.0096
Answer needed please
Answer:
(1,2); (1,4); (4,4)
Step-by-step explanation:
The reflection will begin at y=1. SO the x-axis is at 1 for the first two like on the other side. The same goes for the last point to the left. Hope it helps!
Pablo created the bar model and equation after paying a $9.79 lunch bill with a $20 bill.
A bar diagram. The top bar contains 20.00. The bottom bars contain c and 9.79.
20.00 = c + 9.79
What is the value of c, and what does it represent in this problem?
Answer:
10.21 and it represents positive credit
Step-by-step explanation: hope this helps <3
The following cone has a slant height of 17 cm and a radius of 8 cm.
What is the volume of the cone?
Please explain!
The volume of the cone is 1004.8 cm³
What is volume?The amount of space occupied by a three-dimensional figure as measured in cubic units.
given: l= 17 cm and r =8 cm
h= √l²-r²
= √17²-8²
=√289-64
= √225
h=15 cm
Volume of cone =1/3* π* r²*h
= 1/3*3.14* 8*8*15
= 1/3*3.14* 8*8*15
=1004.8 cm³
Hence, the volume of cone is 1004.8 cm³.
Learn more about volume here:
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At a football match, there were 250 more men than women. The number of children was twice the number of women,and the number of men was twice the number of women and children combined.how many people were at the match.
Answer:
A couple of hundreds
Step-by-step explanation:
In my brain
You buy halibut at $19 per pound. One portion of seared halibut requires 6 ounces of halibut. How much does the halibut for one portion cost
Answer:
$7.125
Step-by-step explanation:
1 lb = 16 oz
Cost per ounce
19 / 16 = $1.1875/oz
Cost for 6 oz portion
6 * 1.1875 = $7.125
Erin wants to raise her math grade to a 90 to improve her chances of winning a math scholarship. Her math average for the last marking period was an 75. What is the percent increase that Erin needs to improve her grade?
Answer:
20%
Step-by-step explanation:
She needs to improve her average by the difference between her 2 grades
That difference is 15 points and is a 20% increase
Using the fromula for increase/ initial value x 100= new %
so (90-75)/75 x 100 = 15/75 x 100 which is then equal to 20%
What is the volume of the cube shown below? V = s×s×s