Answer:
220 mph ; 230 mph
Step-by-step explanation:
Given that :
Speed of First boat = x
Speed of Second boat = y
y = (10 + x) mph
Distance apart after 3 hours = 150 miles
Speed of the boats :
Speed / time = distance
First boat distance = x / 3
Second boat distance = (10+x) /3
x/3 + (10+x)/3 = 150
x + 10 + x = 150 * 3
2x + 10 = 450
2x = 450 - 10
2x = 440
x = 220 mph
Speed of second boat = 220 + 10 = 230 mph
-3.6h = -10.8
what's h
Answer: 3
Step-by-step explanation:
Which equation represents a graph with a vertex at (1, -6)?
A. y=3x2+6x–3
B. y=3x2-6x-3
C. y=3x2-8x-1
D. y=3x2-3x-6
Answer:
the answer is B
Answer:
its b
Step-by-step explanation:
En un triangulo rectángulo, uno de los catetos mide 54 dm y su proyección sobre la hipotenusa, 32,4 dm. Calcula la medida de la hipotenusa
Answer:
63 dm (aproximadamente)
Explicación paso a paso:
Dada a medida dos dous lados do triángulo: 54 dm e 32,4 dm.
Dado que se afirma que o terceiro lado é o hipoteno, que é o lado máis longo dun triángulo rectángulo, o hipoteno (h) pódese obter así:
h = sqrt (54 ^ 2 + 32,4 ^ 2)
h = sqrt (2916 + 1049,76)
h = sqrt (3965,76)
h = 62,974280
h = 63 dm (aproximadamente)
A dog drank ¼ quart of water from a birdbath. The birdbath now has ⅝ quart of water. How much water was in the birdbath before the dog’s drink?
Answer:
7/8 of a quart
What is the slope of this line?
y= -5/3x + 5
Answer:
-5/3
Step-by-step explanation:
Answer:
-5/3
Step-by-step explanation:
y=mx+b
m is the slope
so its -5/3
Hope this helps plz hit the crown :D
Which expressions are equivalent to sqrt root of 32x^6
Yes or No
A.(32x^6)^2
B.(32x^6)^1/2
C.x^3sqrt root of 2^5 D.4x^3sqrt root of 2 E.2x^3sqrt root of 2
F.2 2/5 x 2/6
G.2x^3 sqrt root of 8
H.(2^5x^6)^1/2
PLEASE HELP FIRST WILL GET BRAINIEST Thank you for your time! :)
which number line shows the solutions to n > 0
The third line shows the solutions to n > 0.
The correct option is third line.
What is a number line?A horizontal line with uniformly spaced numerical increments is referred to as a number line.
The way the number on the line can be replied will depend on the numbers on the line.
The number's intended use is described in the question that goes with it, such as when graphing a point.
Locating numbers, comparing numbers, fractions and mixed numbers, decimals, integers, absolute value, addition, subtraction, inequalities, multiples, common denominators, and other mathematical concepts may all be taught using number lines, which are incredibly versatile manipulatives.
We have a number-line.
To find the number line that shows the solution, n > 0:
n is greater than 0.
At 0, there is an open dot circle.
And the line should be extended toward positive infinity.
Therefore, third line is required number line.
To learn more about the number lines;
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Sociologists have found that information spreads among a population at an exponential rate. How do you think this happens? Describe a piece of good news circulating through your circle of friends or family. How is this exponential?
Answer: Because people talk about important information
Step-by-step explanation: like a virus, information spreads like wildfire. But good news that has spread around my community is that we have a bunch of motivated people looking forward to feeding the homeless and create a homeless shelter to get back on their feet. Thanks to flyers, friends, and family enough money was raised to successfully build a homeless shelter.
what is the HL postulate
Answer:
HL Postulate
Co vid-19 has led the world to go through a phenomenal transition .
E-learning is the future today.
Stay Home , Stay Safe and keep learning!!!
HL Postulate(Hypotenuse - Leg) or RHS theorem -> If any two right angles that have a congruent hypotenuse and a corresponding, congruent leg are congruent triangles.
AC ≅ DF , BC ≅ EF and ∠B ≅ ∠E ( both 90 0 )
∴ Δ ABC ≅ Δ DEF by RHS theorem
Theorem : Prove RHS theorem or postulate.
Given : AC = DF , BC = EF and ∠B = ∠E = 90 0
Prove that : ΔABC ≅ ΔDEF
Construction : Extend DE to G so that EG = AB. Join GF.
Statements
Reasons
1) AB = GE 1) Construction
2) ∠B = ∠FEG 2) Each 900
3) BC = EF 3) Given
4) ΔABC ≅ ΔGEF 4) By SAS postulate
5) ∠A = ∠G 5) CPCTC
6) AC = GF 6) If the two angles are congruent then angle opposite to them are equal
7) AC = DF 7) Given
8) DF = GF 8) By transitive property
9) ∠D = ∠G 9) Angles opposite to equal sides in ΔDGF are equal
10) ∠A = ∠D 10) From (5) and (9)
11) ∠B = ∠E 11) Given
12)∠A+∠B=∠D+∠E 12) Adding (10) and (11)
13) ∠C = ∠F 13) ∠A + ∠B + ∠C = 180
and ∠D + ∠E + ∠F = 1800
14) ΔABC ≅ ΔDEF 14) By SAS postulate and from (3) (7) and (13)
Step-by-step explanation:
Answer:
Step-by-step explanation:
HL is the the Hypothenuse Leg Postulate that sais that
If the hypotenuse and leg of one triangle are congruent
to the hypotenuse and leg of another triangle
then the triangles are congruent.
A photography studio charges $50 for a sitting fee and 6 prints. Luigi increased his order to 11 prints and paid $65. Write an equation in point-slope form.
HELP ME PLEASEEEE!!!
Answer: Sitting fee - 32$
Step-by-step explanation:
This is a system of equations(let x represent the sitting fee)
x+6y=50
x+11y=65
You want to isolate the x variable - x+6y-6y=50-6y ; x = 50-6y
Input this into the 2nd equation: 50-6y+11y=65 ; 50+5y=65
Subtract 50 from both sides. 5y=15 (Divided 5y on both sides) ; y=3
Now that y = 3 input this into any equation I choose the 1st one.
x+6(3) = 50 ; x + 18 = 50 (Subtract 18 on both sides to get x)
x = 32
Prove: 32 + 6(3) = 50 ; 32+18 = 50 ; 50 = 50 True
Two spheres have a scale factor of 1:3. The smaller sphere has a surface area of 16 ft2. Find the surface area of the larger sphere.
Answer:
48ft^2
Step-by-step explanation:
Given that:
Small and large Spheres have a scale factor of 1 : 3
Hence,
Smaller sphere = 1
Larger sphere = 3
Surface area of smaller sphere = 16ft^2
Hence,
Surface area of larger sphere = (3 * 16ft^2) = 48ft^2
Which statement below best describes what a ratio is.
A . A comparison
B. A comparison of many things
C.A number
D. A comparison of two quantities using diwasion
You spend $39.48 at At the start of the summer, you have $603.15 in the bank. You make deposits of $90.89 in June, $106.03 in July, and $70.04 in August. At the end of the summer, how much money do you have in the bank? the store. You pay at $50.00. What is your change
Answer:
820.11
Step-by-step explanation:
-39.48
603.15+90.89=694.04
694.04+106.03=800.07
800.07+70.04+870.11
870.11-50.00=820.1
help meeee fbdgnxfgdrgfsjrtsjg they needed extra characters
Answer:
The cost of the new item is $72
Step-by-step explanation:
You can solve this by first putting the percent into decimal form, this is done by taking 25 and dividing by 100. Giving you 0.25
Now multiply 0.25 by the original cost of the item which is 96.
If you think about 0.25 as 1/4, because 25 is 1/4 of 100.
You will get 24, this is how much money is taken off of the original price.
So some easy subtraction: 96-24=72.
Now you have the new cost of the item
how many times does 50 go into 2490
Answer:
49.
Step-by-step explanation: Because 2490 divided by 50 equal 49.8 if you needed.
Arturo asked all of his classmates if they prefer soccer or football. He found that 16 students prefer football while 20 prefer soccer. Which ratio represents the number of students who prefer soccer to the total number of students in Arturo’s class? StartFraction 5 Over 9 EndFraction StartFraction 4 Over 5 EndFraction StartFraction 5 Over 4 EndFraction StartFraction 9 Over 4 EndFraction
Answer: 4/5 (B)
Step-by-step explanation:
The ratio is 5/9 represents the number of students who prefer soccer to the total number of students in Arturo’s class
What is Ratio?The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.
To determine the ratio represents the number of students who prefer soccer to the total number of students in Arturo’s class
Here the number of students who prefer soccer = 20
The total number of students in Arturo’s class = 20 + 16 = 36
According to the given situation, the required ratio is written as:
The required ratio = students who prefer soccer / total number of students
The required ratio = 20 / 36
Convert the above fraction into the simplest form
The required ratio = 5/9
Therefore, the ratio is 5/9 represents the number of students who prefer soccer to the total number of students in Arturo’s class
Learn more about the Ratios here:
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what is the value of the expression of -9 x 2.2
Answer:
-19.8
Step-by-step explanation:
hope this helps!
Solve for n:
12n + 3 – 3n = 30
n = ?
Answer:
n=3
Step-by-step explanation:
12n-3n=30-3
9n=27
n=27/9
n=3
please answer this question
Answer:
D. 1,300
Step-by-step explanation:
−3x^ 2 +6x+9=
factor
Answer:
the answer in factor form would be
-3(
Please help me with this question!
Raoul rode an elevator up e floors. He entered the elevator on the 5th floor and exited on the 34th floor. Which equation shows an equality between two different ways of expressing the floor Raoul exited?
A.) 34 = 5 + e
B.) 34 = e - 5
C.) 34 = 5 - e
D.) 34 = 5e
Thank you for your time!~
Lots of love for you~ <3
Answer:
The answer would be c
Step-by-step explanation:
Find the area of the trapezoid. Please help!
Answer:
Area = 1/2 (a + b )h
area = 1/2 ( 22.2 + 8.52 ) 9.86
area = 1/2 ( 30.72) 9.86
area = 1 x 30.72 x 9.86 ÷ 2
area = 151. 4496cm²
Answer:
The area of the trapezoid is 151.45cm sq
Unit 7 homework 1: Gina Wilson answer key
Does any one have the anwerkey?
The values for x are:
question 15 ⇒x=8
question 16⇒x=19
question 17⇒x=14
Here you should apply your knowledge about regular polygons. The question asks the values of x that is a variable for some interior angles. Then, you will find x from the sum of interior angles of each regular polygon.
Sum of Interior Angles of Regular PolygonThere is a formula that relates number of sides polygon with its sum of interior angles. See below.
S=(n-2)*180°
S=sum of interior angles of regular polygon.
n=number of sides of regular polygon.
Exercise 15First, you should find the value for the sum of interior angles. Here, the regular polygon has 4 sides. Then,
S=(n-2)*180°
S=(4-2)*180°
S=2*180°=360°
Note that only 3 interior angles are shown in the figure. Nonetheless, the question gives an external angle (71°). Thus, the internal angle will be: 180-71=109°. This is because the interior and exterior angles are supplementary.
Next step, sum of interior angles for finding x
[tex]10x+6+13x-2+109+8x-1=360\\ \\ 31x=360-112\\ \\ 31x=248\\ \\ x=\frac{248}{31} =8[/tex]
x=8
Exercise 16
First, you should find the value for the sum of interior angles. Here, the regular polygon has 6 sides. Then,
S=(n-2)*180°
S=(6-2)*180°
S=4*180°=720°
Next step, sum of interior angles for finding x.
[tex]90+9x-19+7x+3+111+5x+8+128=720\\ \\ 21x=720-321\\ \\ 21x=399\\ \\ x=\frac{399}{21} =19[/tex]
x=19
Exercise 17
First, you should find the value for the sum of interior angles. Here, the regular polygon has 5 sides. Then,
S=(n-2)*180°
S=(5-2)*180°
S=3*180°=540°
The image of the question shows the sides are congruent, consequently, the angles are equal.
Next step, sum of interior angles for finding x.
[tex]9x-18+9x-18+9x-18+9x-18+9x-18=540\\ \\ 45x=540+90\\ \\ 45x=630\\ \\ x=\frac{630}{45} =14[/tex]
x=14
Read more about sum of interior angles here:
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Find the surface area of the cylinder in terms of pi
Answer:
can u include a picture of the cylinder pls luv
Step-by-step explanation:
Mrs. Lodge is having new floor tiles installed in her kitchen. She is paying the flooring company $170.25 for the tiles and an installation fee of $3.78 per square foot. She receives a total bill of $586.05 for the job.
Which equation could be used to find the number of square feet (x) of tile Mrs. Lodge is having installed?
A.
170.25 − 3.78x = 586.05
B.
170.25 + 3.78x = 586.05
C.
170.25x + 3.78 = 586.05
D.
170.25x − 3.78 = 586.05
Answer: $170.25 + $3.78x = $586.05
Step-by-step explanation:
A triangle has side lengths of (1.3k+3.5m)(1.3k+3.5m) centimeters, (4.1k-1.6n)(4.1k−1.6n) centimeters, and (9.7n+4.4m)(9.7n+4.4m) centimeters. Which expression represents the perimeter, in centimeters, of the triangle?
Answer:
(5.4k+7.9m+8.1n) centimeters
Step-by-step explanation:
Given the side length of a triangle;
S1 = (1.3k+3.5m) cm
S2 = (4.1k-1.6n) cm
S3 = (9.7n+4.4m) cm
Perimeter of the triangle = S1+S2 + S3
Perimeter of the triangle = (1.3k+3.5m) + (4.1k-1.6n) + (9.7n+4.4m)
Collect the like terms;
Perimeter of the triangle = 1.3k+4.1k+3.5m+4.4m-1.6n+9.7n
Perimeter of the triangle = 5.4k+7.9m+8.1n
Hence the expression that represents the perimeter of the triangle is (5.4k+7.9m+8.1n) centimeters
2 pens in each pack of black pens
5 pens in each pack of red pens
6 pens in each pack of green pens
On Monday
number of packs sold of black, red and green pens = 7 : 3 : 4
A total of 212 were sold.
work out the number of green pen solds
Answer:
24
Step-by-step explanation:
Put aside all of the other numbers and just focus on the amount of green pens in one pack and how many packs there are. Multiply those two numbers (6×4) to get 24. Hope this helped <3
Please help really quick, I'll give Brainliest. You only have to do Q1, but more is welcome.
Answer:
1) 90+30+x=180
x= 60
2) 2x+90=180
x= 45
3) angle SPQ
90+55+ SPQ=180
SPQ= 35
Therefore as op=os=radii= isosceles triangle
angles OPS=OSP
SPQ +QPO=OSP
35 + x = 55
x=20
4)110+ 90+90 +x=360
x=70
5)90 +90 +45+x=360
x=135
hope it helped.
PLEASE HELP I HAVE A TIME LIMIT I WILL GIVE BRAINLIEST AND 5 STARS show your work rex mixed x liters of fruit syrup with y liters of water to make fruit punch three times the number of liters of water he used is equal to 6 more than twice the number of liters of fruit syrup he used the total number of liters of syrup and water he mixed was 7 liters what is the number of liters of fruit syrup and water that rex added to make the fruit punch
graph of lines 3 y equals 2x plus 11 and y equals minus x plus 7. Lines intersect at ordered pair 2, 5
graph of lines 3 y equals 2 x minus 4 and y equals minus x plus 7. Lines intersect at ordered pair 5, 2
graph of lines 3 y equals 2 x plus 6 and y equals minus x plus 7. Lines intersect at ordered pair 3, 4
graph of lines 3y equals 2x plus 1 and y equals minus x plus 7. Lines intersect at ordered pair 4, 3
I don't know if it's right tho :C
Answer:
The amount of fruit syrup Rex added is: 3 liters
and the amount of water he added is: 4 liters.
Step-by-step explanation:
3y = 2x + 6
x + y = 7
y = 7 - x
3(7 - x) = 2x + 6
21 - 3x = 2x + 6
21 - 6 = 2x + 3x
15 = 5x
15/5 = x
3 = x
x + y = 7
3 + y = 7
y = 7 - 3
y = 4
Solution is (3,4)
You spend 3 hours every day practicing the piano. What fraction of the day do you spend practicing the piano? Give your answer in simplest form.
Answer:
1/8th
Step-by-step explanation:
since there are 24 hours in a day
Answer: 1/8
Step-by-step explanation:
a day is 24 hours long. If you spend 3 hours out of 24 hours a day to practice piano it would be 3/24. Then to get it in simpilest form, you divide 3 by 3 and 24 by 3 which would get you the answer 1/8.
Hope i helped have a good rest of your day!!