Answer:
A. 4:5
B. 600 girls
Step-by-step explanation:
A. g : b = 12 : 15 = 4 : 5
B. the numbers of girls = 4/(4+5) × 1350
= 4/9 × 1350 = 600
In the diagram below of triangle MNO, P is the midpoint of MO and Q is the midpoint of NO. If PQ = 5x + 62, and MN = 6x-4, what is the measure of PQ?
Answer:
29
Step-by-step explanation:
There is a triangle embedded in triangle MNO, which is triangle PQO, and these are similar triangles in that their corresponding sides are always in the same ratio, which in this case is 2:1, as MP = MO due to the midpoint definition, and therefore MO is twice as long as MP. Same for NO and QO.
Now that we know the ratio, we can set 6x-4 = 2(-5x+64)
6x-4 = -10x +108
16x = 112
x = 7
Plug x back in for PQ, -5(7)+64 = 29
The measure of PQ is 22 units.
What is mid point theorem?A triangle's third side is stated to be parallel to the line segment uniting its two midpoints, and it is also half as long as the third side.
Given:
PQ = 5x + 62, and MN = 6x-4
Now, using Mid- Point Theorem
PQ= 1/2 MN
-5x+ 62 = 1/2( 6x - 4)
-5x+ 62 = 3x - 2
-5x- 3x = -2 - 62
-8x = -64
x= 8
and, PQ= 5x+ 62 = -5(8) + 62 = -40 + 62 = 22
Hence, the measure of PQ is 22 units.
Learn more about mid point theorem here:
https://brainly.com/question/13677972
#SPJ2
What is 63.48 rounded off to 1 decimal place?
Answer:
63.5
Step-by-step explanation:
Use the diagram right above
AB=?
m
En una granja hay 26 corrales con una capacidad para 68 gallinas cada uno. Sí cada gallina pone un huevo cada día ¿cuántos huevos recolectan en una semana (7 días )?
Answer:
12376 huevos
Step-by-step explanation:
Son 68 gallinas en 26 corrales por tanta se multiplicaría
26 x 68=1768 estas serian el total de las gallinas en todos los corrales, aparte te dicen que cada pone un huevo al día, entonces como te piden cuantos huevos serán en 7 días sería:
1768 x 7= 12376
1768= a los huevos de cada gallina en un día ya que te dice que cada una pone un huevo en cada día.
CAN SOMEONE HELP ME OUT WITH THIS PLEAS AND THANK YOU.
Answer:
5 11/30
Step-by-step explanation:
convert both to least common denominator then solve
Answer:
the answer to this question is 5.366666666
Sarah buys a car for £23,000.
It depreciates at a rate of 3% per year.
How many years will it take to be worth less than £20,000?
Answer:
4.61 years
Step-by-step explanation:
hope it helped!
NEED ANSWER(s)!!! THANK YOU!!!
Answer: A. Sea otter (5 meters below sea level) Fish(1 meter below sea level) and Bird (4 meters above sea level)
B. Fish is closest to sea level by only 1 meter, Bird is 4 meters above sea level, so it would be second, and Sea Otter is the farthest from Sea level because it is 5 meters under sea level
Step-by-step explanation: that is my explanation, and to explain what i said, 0 is sea-level
PLEASE HELP ASAP ILL MAKE BRAINLIEST
The table shows how many coins are in Joshua’s coin jar.
Joshua intends to blindly reach in to the coin jar, pull out the first coin he touches, record its value, and replace it. He will select a coin 50 times. Set aside the different coin sizes, and assume the size of the coin does not impact his ability to select it.
Enter the number of times a dime is expected to be pulled from the jar.
Answer:
10 times
Step-by-step explanation:
there are a total of 200 coins
each time he makes a selection the probability of selecting a dime is 40/200 or 1/5
if he makes 50 selections, the probability is 1/5(50) which is 10 times
Which of these is the lowest unit price for apples? $8.00 per 10-pound bag $21.40 per 3-pound bag $4.10 per 5-pound bag $.79 per pound Click on the correct answer.
Answer:
.79 cents a pound is the lowest unit price for apples
Step-by-step explanation:
There are only red counters, blue counters and purple counters in a bag.
The ratio of the number of red counters to the number of blue counters is 3 : 17
Sam takes at random a counter from the bag.
The probability that the
counter is purple is 0.2
Work out the probability that Sam takes a red counter.
Answer:
0.15
Step-by-step explanation:
R:B:P
3:17:4
20x0.2=4
0.2/4=0.05
P(R)= 0.05x3
P(R)=0.15
(High points) please solve with explanation
Answer:
The area and the perimeter of the picture are:
Area = 160 cm^2Perimeter = 67.31 cmStep-by-step explanation:
To find the area of that figure, you can find the area how if it was a rectangle and next subtract the area of the triangle in the upper part. The area of a rectangle could be found by the next formula:
Area of a rectangle = base * heightAs you can see in the picture, the base is 16 cm and the height is 12 cm, then we replace in the formula:
Area of a rectangle = 16 cm * 12 cmArea of a rectangle = 192 cm^2Now, we calculate the area of the triangle to subtract to the area we found and obtain the real area, the formula to obtain the area of a triangle is:
Area of a triangle = (base * height) / 2The height of the triangle is 8 cm, and the base is 8 cm too, because you subtract to the base of the rectangle (16 cm) the measurements in the upper part (16 - 4 - 4 = 8), Now, we replace in the formula:
Area of a triangle = (8 cm * 8 cm) / 2Area of a triangle = (64 cm^2) / 2Area of a triangle = 32 cm^2We subtract to the found area:
Area of the picture = 192 cm^2 - 32 cm^2Area of the picture = 160 cm^2To find the perimeter, you must add all the sides of the picture, but, as you can see, there is a side that doesn't have the measurent, this is the hypotenuse of the triangle used before, but how we know the other sides, we can use Pythagorean theorem:
[tex]a^{2}+b^{2}=c^{2}[/tex]Where:
a = Opposite leg (8 cm)b = Adjacent leg (8 cm)So, we replace in the theorem:
[tex]a^{2}+b^{2}=c^{2}[/tex][tex](8 cm)^{2}+(8cm)^{2}=c^{2}[/tex] (and we clear c)[tex]\sqrt{(8 cm)^{2}+(8cm)^{2}} =c[/tex] [tex]\sqrt{64 cm^{2}+64cm^{2}} =c[/tex] [tex]\sqrt{128cm^{2}} =c[/tex]c = 11.3137085 cmc ≅ 11.31 cmAt last, we add all the sides of the picture begining by the base and going by the left side:
Perimeter of the picture = 16 cm + 12 cm + 4 cm + 11.31 cm + 8 cm + 4 cm + 12 cmPerimeter of the picture = 67.31 cm approximately.Jonathan and anna have to share $20.64 evenly for the summer festival. how much money will each child recieve.
Answer:
10.32
Step-by-step explanation:
20.64 divided by 2
Question 4(Multiple Choice Worth 1 points)
(07.02 MC)
An equation is shown below:
4(2x - 3) = 1
Which of the following correctly shows the steps to solve this equation?
Step 1: 6x - 7 = 1; Step 2: 6x = 8
Step 1: 6x + 1 = 1; Step 2: 6x = 0
Step 1: 8x - 12 = 1; Step 2: 8x = 13
Step 1: 8x - 3 = 1; Step 2: 8x = 4
Answer:
Step 1: 8x - 12 = 1; Step 2: 8x = 13
Step-by-step explanation:
Given equation:
4(2x - 3) = 1
Step 1: open the parenthesis
4(2x - 3) = 1
8x - 12 = 1
Step 2: collect like terms
8x - 12 = 1
8x = 1 + 12
8x = 13
step 3: divide both sides by the coefficient of x
8x = 13
x = 13/8
The correct steps to solve the equation:
Step 1: 8x - 12 = 1; Step 2: 8x = 13
Which could be the resulting equation when elimination is used to solve the given system of equations ?
Answer:
10·b = 60
Step-by-step explanation:
The given system of equation is presented as follows;
5·a + 5·b = 25...(1)
-5·a + 5·b = 35...(2)
Given that the coefficient of a in equation (1) is equal in magnitude but opposite in sign to the coefficient of 'a' in equation (2), to eliminate the variable 'a' when using the elimination method, we add both equations as follows;
5·a + 5·b + (-5·a + 5·b) = 25 + 35 = 60
5·a - 5·a + 5·b + 5·b = 60
5·a - 5·a = 0
5·b + 5·b = 10·b
∴ 5·a - 5·a + 5·b + 5·b = 60 = 0 + 10·b = 10·b
∴ 10·b = 60
Select all the numbers that are irrational.
9514 1404 393
Answer:
π, √3, 3√2
Step-by-step explanation:
A number is irrational if it is not a decimal number of finite length or a repeating decimal number.
The irrational numbers in the group are shown below.
give me one secondddd..
Answer:
mark me as a brainleast
Step-by-step explanation:
iam not undeerstand on your qiestion write it beautiful words
The formula sa
SA
6 gives the length of the side, s, of a cube with a surface area, SA. How much longer is the side
of a cube with a surface area of 180 square meters than a cube with the surface area of 120 square meters?
o
30-45 m
O V30-2V5
o 10 m
215 m
Answer:
The correct option is (b).
Step-by-step explanation:
The formula for the side of a cube of surface area SA is as follows :
[tex]s=\sqrt{\dfrac{SA}{6}}[/tex]
When SA = 180 m²
[tex]s=\sqrt{\dfrac{180}{6}}\\\\s=\sqrt{30}[/tex]
When SA = 120 m²
[tex]s=\sqrt{\dfrac{120}{6}}\\\\s=\sqrt{20}\\\\=2\sqrt5[/tex]
Difference,
[tex]=30-2\sqrt5[/tex]
So, the correct option is (b).
Line p passes through (8, -6) and is perpendicular to the line 2x + y = -7. The slope of line p is ...
Answer:
Y=1/2-10
Step-by-step explanation:
M=1/2 perpendicular
M1*M2=-1
Two, trains, one from Howrah to Patna and the other from Patna to Howrah, start simultaneously. After they meet, the trains reach their destinations after 9 hours and 16 hours respectively. The ratio of their speeds is:
Answer:
3:2
Explanation:
Let's call the trains A and B
Train A moves from Howrah to Patna in 9 hours
Train B moves from Patna to Howrah in 16 hours
Assuming it takes 30 miles to OR from each destination,
Then train A travels 30 miles in 9 hours
Train B travels 30 miles in 16 hours
Train A's speed is 30/9= 3.33 miles per hour
Train B's speed is 30/16= 1.88 miles per hour
Ratio of their speeds(approximately,train A to train B)= 3:2
There are 5 red marbles, 15 blue marbles, and 5 green marbles in a bag.If you reach in and randomly draw two marbles without replacing the first, what is the probability that both will be blue.
Answer:
3/5
Step-by-step explanation:
Total number of marbles = 5 + 15 + 5 = 25
Number of blue marbles = 15
Probability of blue marbles:
= 15/25
=3/5
Hope it helps......
Part A: The area of a square is (9x2 − 12x + 4) square units. Determine the length of each side of the square by factoring the area expression completely. Show your work. (5 points)
Part B: The area of a rectangle is (25x2 − 16y2) square units. Determine the dimensions of the rectangle by factoring the area expression completely. Show your work. (5 points)
Answer:
A. (3x-2)^2
B. 5x-4y
5x=4y
Step-by-step explanation:
if the probability that it will rain tomorrow is 1/5
what is the probability that it will not rain tomorrow?
Answer:
If the probability is that it WILL rain 1/5. Then the remaining chances are the number it will not rain. The denominator tells us that there are at total of 5 chances. That leaves a 4/5 chance it will not rain.
Step-by-step explanation:
Find value of x 4(x+6)° (5x+11)°
Value of x = 13°
Hope it helps you...
If f(x)=x^2 is vertically stretched by a factor of 8 to g(x), what is the equation of g(x)?
A. g(x)= (1/8x)^2
B. g(x)= 8x^2
C. g(x)= (8x)^2
D. g(x)= 1/8x^2
Answer: 3x
Step-by-step explanation: just need points
John is twice as old as Mary. The sum of thelr ages is 21. How old Is Mary?
Answer: 7 years
Step-by-step explanation:
let x be the age of Mary
so John's age will be 2x
the equation becomes
2x+x=21
3x=21
x=21/3
x=7
Answer:
Step-by-step explanation:
Let Mary's age = x years
John's age = 2 * x = 2x
The sum of their ages = 21
x + 2x = 21
3x = 21
Divide both sides by 3
x = 21/3
x = 7
Mary's age = 7 years
Please help me I need this answer to pass high school, math is so difficult man, giving brainliest
Answer:
man you are right it is difficult
What is the image of (3,-5) after a dilation by a scale factor of 55 centered at the origin?
Answer:
7.789
Step-by-step explanation:
i got it right and
what is the answer to 15y − 1 = 11/2y + 2
Answer:
y= 6/19
hope it helps
9. Simplify by rationalising the denominator: 2+√3 2−√3 + 2−√3 2+√3 .
[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { 14 }}}}}}[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]
[tex] \frac{2 + \sqrt{3} }{2 - \sqrt{3} } + \frac{2 - \sqrt{3} }{2 + \sqrt{3} } [/tex]
[tex] \\= \frac{2 + \sqrt{3} }{2 - \sqrt{3} } \times \frac{2 + \sqrt{3} }{2 + \sqrt{3} } + \frac{2 - \sqrt{3} }{2 + \sqrt{3} } \times \frac{2 - \sqrt{3} }{2 - \sqrt{3} } [/tex]
[tex] \\= \frac{2 \: (2 + \sqrt{3} )+ \sqrt{3} \: (2 + \sqrt{3} )}{ ({2})^{2} - ({ \sqrt{3} })^{2} } + \frac{2 \: (2 - \sqrt{3} ) - \sqrt{3} \: (2 - \sqrt{3} ) }{ ({2})^{2} - ( { \sqrt{3} })^{2} } [/tex]
[tex]\\ = \frac{4 + 2 \sqrt{3} + 2 \sqrt{3} + 3 }{4 - 3} + \frac{4 - 2 \sqrt{3} - 2 \sqrt{3} + 3}{4 - 3} [/tex]
[tex]\\ = \frac{7 + 4 \sqrt{3} }{1} + \frac{7 - 4 \sqrt{3} }{1} [/tex]
[tex] \\= 7 + 4 \sqrt{3} + (7 - 4 \sqrt{3} )[/tex]
[tex] \\= 7 + 4 \sqrt{3} + 7 -4 \sqrt{3} [/tex]
[tex] \\= 14[/tex]
Note:[tex] (a + b)(a - b) = {a}^{2} - {b}^{2} [/tex]
[tex]\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♨}}}}}[/tex]
Decide whether each statement is true or false.
You are less likely to roll a 3 than a 4 on a die.
True
False
(I'm not good with probability..)