Answer:
1.68Step-by-step explanation:
1.68 to the nearest whole number is 1.68
If the first digit in the fractional part of 1.68 is less than 5 then we simply remove the fractional part to get the answer.
If the first digit in the fractional part of 1.68 is 5 or above, then we add 1 to the integer part and remove the fractional part to get the answer.
The first digit in the fractional part is 6 and 6 is 5 or above. Therefore, we add 1 to the integer part and remove the fractional part to get 1.68 rounded to the nearest whole number as: 2
The dimensions of a rectangle are 2x – 5 and 3x + 3. Which expression
represents the area of the rectangle in simplest form?
Answer: 2x - 5
Step-by-step explanation: 2x - 5 does not have anything in common, so therefore it can not be simplified. Then 3x - 3 can be divided by 3 because they have that in common. It can’t be 3x - 3 because it still contains one step left to be in its most simplified form.
Can someone help me please.
Answer:
1) x = 12
2) x = 2
Step-by-step explanation:
Because each figure is a parallelogram, we know that the opposite sides are congruent. Now, we set 12 equal to 2x - 12 to solve. For number one, x = 12. For number two, we set 5x + 1 equal to -1 + 6x to solve. This equals 2.
F is directly proportional to a . If F = 24 when a = 8 find, F when a = 6
Answer:
18
Step-by-step explanation:
24=8×3
If F=24 when A=8 then F is directly proportional to A•3
50
A jet flies due North far a distance of 50 cm and then on a bearing of N TOE for a furter
km. Find the distance and bearing of the jet from its starting point
Answer:
90 km, N 46° E
Step-by-step explanation:
A jet flies due North for a distance of 50 km and then on a bearing of N 70° E for a further 60 km. Find the distance and bearing of the jet from its starting point.
Look at the diagram I drew of this scenario. You can see the jet flies North for 50 km, and then turns at a 70° angle to fly another 60 km. We want to find the distance from the starting point, SP, to angle C (labeled).
This will be the jet's distance from its starting point.
In order to find the bearing of the jet from its starting point, we will need to find the angle formed between distances b and c, labeled angle A.
The Law of Cosines will allow us to use two known sides and one known angle to solve for the sides opposite of the known angle.
In this case, the known angle is 110° (angle B) so we will use the Law of Cosines respective to B.
b² = a² + c² - 2ac cosBSubstitute the known values into the equation and solve for b, the distance from the starting point (A) to the endpoint (C).
b² = (60)² + (50)² - 2(60)(50) cos(110°)b² = 6100 -(-2052.12086) b² = 8152.12086b = 90.28909602b ≈ 90 kmThe distance of the jet from its starting point is 90 km. Now we can use this b value in order to calculate angle A, the bearing of the jet.
The Law of Cosines with respect to A:
a² = b² + c² - 2bc cosASubstitute the known values into the equation and solve for A, the bearing from the starting point (clockwise of North).
(60)² = (90.28909602)² + (50)² - 2(90.28909602)(50) cosA 3600 = 8152.12086 - 6528.909602 cosA-4552.12086 = -6528.909602 cosA0.6972252853 = cosA A = cos⁻¹(0.6972252853) A = 45.79519A ≈ 46°The bearing of the jet from its starting point is N 46° E. This means that it is facing northeast at an angle of 46° clockwise from the North.
PLEASE HELP. 8(n + 4) + 3n > 2(n - 2)
Answer:
n>-4
Step-by-step explanation:
8(n + 4) +3n > 2(n -2)
8n+32+3n > 2n-4
9n>-36
n>-4
Answer:
n > -4
Step-by-step explanation:
8(n + 4) + 3n > 2(n - 2)
Solve for inequality
_________________
To solve, we need to isolate the variable :
Distribute :
(8(n) + 8(4)) + 3n > (2(n) - 2(2))
8n + 32 + 3n > 2n - 4
Add like terms :
11n + 32 > 2n -4
Subtract 2n from both sides :
9n > -36
Divide 9 from both sides :
n > -4
Find the original price given the total amount and the tip rate.
Total amount: $51.84
Tip: 20%
Answer:
62.208
Step-by-step explanation:
51.84 + 10.368
Answer:
I think if the total amount was $51.84 after tax, then 51.84 x 0.20 = 10.368. $51.84 - 10.368 = $41.472
I think original price was $41.47. I am not sure.
Step-by-step explanation:
Find the value of x, y, and z
Answer:
x= 121 degrees
y=40 degrees
z=199 degrees
Step-by-step explanation:
121 (B) matches with x
40 (A) matches with y
C (unknown) matches with z, and 360 degrees minus 161 (121+40) is 199 degrees
Solve for xxx. -30=5(x+1)
First, apply the distributive property:
-30 = 5(x + 1)
-30 = 5x + 5
Substract 5 from both sides:
-30 - 5 = 5x + 5 - 5
-35 = 5x
Divide both sides by 5:
[tex]\mathsf{\dfrac{-35}{5} = \dfrac{5x}{5}}[/tex]
[tex]\large{\boxed{\mathsf{-7 = x}}}[/tex]
Let's check the answer:
-30 = 5(x + 1)
-30 = 5(-7 + 1)
-30 = 5(-6)
-30 = -30
The answer is correct.
Answer. The value of x = -7.7th-grade work - Eric had a 25% discount on lacrosse equipment. The selling price was $127.50. What was the original price?
Answer:
$170 was the original price.
Step-by-step explanation:
$42.5 is 25% of $170, and $170-$42.5 is $127.5
Which graph represents the function f(x) = ?
Answer:
C (the third one)
Step-by-step explanation:
help? thank you have a great day
Answer:
12 square units
50 square feet
77 square meters.
Step-by-step explanation:
cut of the part that's sticking out and put it on the other side to get a rectangle.
A random sample of size 16 is to be taken from a normal population having mean of 100 andvariance 4. What is the 90th percentile of the distribution of x?
The 90th percentile of the distribution of x is 100.64.
Given that,
A random sample of size 16 is to be taken from a normal population having mean of 100 and variance 4calculation:Here we have
[tex]n=16,\mu=100,\sigma^{2}=4[/tex]
Now we requried z-score that has 0.90 area to its left. z-score 1.28 has 0.90 area to its left.
So required 90th percentile is
[tex]z=\frac{\bar{x}-\mu}{\sigma/\sqrt{n}}\\\\1.28=\frac{\bar{x}-100}{2/\sqrt{16}}\\\\\bar{x}=100.64[/tex]
Learn more about the population here: https://brainly.com/question/905400?referrer=searchResults
Given:
[tex]\to n=16\\\\\to \mu=100\\\\ \to \sigma^{2}=4[/tex]
To find:
distribution [tex]\bar{x}=?[/tex]
Solution:
We require a z-score with such a 0.90 area to its left in this case. The area to the left of the z-score 1.28 is 0.90. As a consequence, the required 90th percentile is
Using formula:
[tex]\to z=\frac{\bar{x}-\mu}{\frac{\sigma}{\sqrt{n}}}\\\\[/tex]
[tex]\to 1.28=\frac{\bar{x}-100}{\frac{2}{\sqrt{16}}}\\\\\to 1.28=\frac{\bar{x}-100}{\frac{2}{\sqrt{4^2}}}\\\\\to 1.28=\frac{\bar{x}-100}{\frac{2}{4}}\\\\\to 1.28=\frac{\bar{x}-100}{\frac{1}{2}}\\\\\to 1.28=\frac{\bar{x}-100}{0.5}\\\\\to 0.64 =\bar{x}-100\\\\\to \bar{x}=100+0.64\\\\\to \bar{x}=100.64\\\\[/tex]
Therefore, the answer is "100.64".
Learn more about the distribution here:
brainly.com/question/10137107
If ∆ABC ≅ ∆PQR ,then side AB corresponds to -------------------
In a group of 30 students 18 have visited Australia 15 have visited botwanna
Answer:
ようrもmづっっっっっっっっhsつぽdねあr
Answer:
0
Step-by-step explanation:
Find the unknown length x in the right triangle, to the nearest tenth
С C
36
19
B
A
Х
Answer:
I would have to have the picture in order to anwser! So So Sorry
Step-by-step explanation:
The following data points represent the number of campsites that are vacant at each campground park along the Shinacook River.
Sort the data from least to greatest.
(9,11,12,15,17,18)
find the median number of campsite
Answer:
13.5
Step-by-step explanation:
What is 123456789098765432 x 2345678 = ?
Explain your answer!
Answer:
289589874000000000000000
=2.89589874*10²³
2(10+10x)=60
Anyone willing to help?
(1,0)(0,0)(-2,0)(-1,-2) in a cubic function
Answer:
(1,0), (0,0),(-2<0)<(-1, -2)
Step-by-step explanation:
If you can help you can have brainlyest
A trapezoid has an area of 35 square inches. It has a base of 8 inches and 6
inches. What is the height of the trapezoid?
the height of the trapezoid of 5, i think.
my work:
i used this formula: 2 x a + b / A
so, you plug in what you know.
2 x 8+6 / 35 = 5
A trapezoid has an area of 35 square inches, a base of 8 inches & 6 inches. the height of the trapezoid is, 5 inches
What is the area?An area is total space occupied by two-dimensional or flat surfaces. In other words we can say that it is a number of unit squares present in a closed figure. We use various units for measurement of area like, cm², m², ft², mm².
Given that,
A trapezoid has an area of 35 square inches
It has a base of 8 inches and 6 inches
the height of the trapezoid = ?
Area of trapezoid = 1/2 × sum of sides × distance between them
= 1/2 × (8 + 6) × h
35 = 7 × h
h = 5
Hence, the height is 5 inches
To learn more about Area check:
https://brainly.com/question/16151549
#SPJ5
The diagonal of a rectangle is 13 units. One side of the rectangle is 12”. Find the length of the shortest side of the rectangle.
Answer:
explain more
Step-by-step explanation:
*PLEASE ANSWER!!! , ILL GIVE BRAINLIEST!!*
Which of the following statements describes crustaceans?
a.) all aquatic vertebrate animals with gills that don’t have appendages with digits
b.) members of the arthropod phylum who have crusty, hard, outer shells
c.) a type of segmented worm with two sets of two eyes, multiple antennae, and small appendages that aid in feeding and sensing
Answer:
b
Step-by-step explanation:
crab crab crab crab crab
Do you know these Answers plz??????
Answer:
d c a
Step-by-step explanation:
Can someone pls help me on this
Answer:
Straight line when graphed.
Can be written in the form y=mx+b
Constant rate of change
Answer:
The first one is: Graphed
The middle one: y = Mx + b
The Last one: Constant
Hope that helps!
Factorise the following:
b) x^2 – 12x + 32
Answer:
66777654444456
Step-by-step explanation:
What is 129x46 and what your favorite colors? ( marking a person as the brainlest random).
Answer:
5934 and my favorite color is blue
Answer:
The answer is 5,934. And I love the color pink :)
Step-by-step explanation:
Henry will spend at most $30 on gifts. So far, he has spent $21. What are the possible additional amounts he will spend? Use c for the additional amount in dollers henry will spend
Answer:
He will spend less than or equal to $9
Step-by-step explanation:
21 + c </= 30
c</= 9
Solve: 2(4z - 2) = 44
Answer:
z = 6
Step-by-step explanation:
Answer:
x = 6
Step-by-step explanation:
Distribute: 8x - 4 = 44
Add 4 on both sides, to get rid of the 4 on the left side: 8x = 48
Divide by 8 on both sides, to get the final value of x -->
Answer: x = 6
Hope this helped ;)
Joey had a balance of $250.50 in his account, and then he made a purchase for $317.25. What is the new
balance in his account?
Answer:
Joey has no money in his account. He is now indebted for $66.75
Step-by-step explanation:
250.5 - 317.25 = -66.75