Answer:
30 inches/4=7.5 inches
Step-by-step explanation:
Answer:
7.5 inches
Step-by-step explanation:
Since we need 4 magnets and we use 5/6 yards, it is easier to convert 5/6 yards into inches first. One yard=36 inches, so we used overall of 30 inches for every magnet. Simply divide 30/4 to get 7.5 inches
"Heavy Water" is a name given to a compound used in some nuclear reactors. Heavy water costs about $1,500 per gallon. If a nuclear plant spent $10,500 on heavy water, how many gallons of water were bought?
Answer:
7 gallons of water were bought
Step-by-step explanation:
This question can be solved using a rule of three.
One gallon costs $1,500. How many gallons cost $10,500?
1 gallon - $1,500
x gallons - $10,500
[tex]1500x = 10500[/tex]
[tex]x = \frac{10500}{1500}[/tex]
[tex]x = 7[/tex]
7 gallons of water were bought
An animal shelter houses dogs, cats, and rabbits. There are 126 animals at the shelter. Of the animals, 13 are cats. Three fourths of the remaining animals are dogs. How many of the animals are rabbits? Show your work.
Answer:
28 rabbits
Step-by-step explanation:
From the statement, you can write the following:
d+c+r= 126
d=dogs
c= cats
r= rabits
Then, you have that there are 13 cats and that three fourths of the remaining animals are dogs:
c=13
d=(126-13)*(3/4)= 113*(3/4)= 85
Now, you can isolate r, to find the number of rabbits:
r=126-d-c
r= 126-85-13
r= 28
According to this, the are 28 rabbits.
Answer:
pppoooooiiinnttssss
Step-by-step explanation:
I need help with this question!!
Answer:
B, C ,E
Step-by-step explanation:
B <2 = <6 they are alternate interior angles
C <1 + <6 = 180 <1 + 75 = 180 and 75 and <6 are equal because they are corresponding angle so <1 + <6 = 180
E x = 120
<1 + <6 = 180
<1 + 75 = 180
<1 = 105
<1 =x-15
105 = x-15
Add 15
120 =x
What is -6:
-The coefficient
-The variable
-The constant
Please help solve ASAP! In the diagram below, what is the approximate length of the minor arc AB?
Answer:
42
Step-by-step explanation:
Answer: It would be 42 Centimeters! :D
Small scooters cost £80 and large scooters cost £130. A school buys few scooters for the playground for £1000. How many of the smaller and larger scooter did they buy?
Answer:
Small scooters = 6
Large scooters = 4
Step-by-step explanation:
Let S represents small scooter and L represents large scooter
The cost of a small scooter is £80
Mathematically, the cost of S number of small scooters is
80S
The cost of a large scooter is £130
Mathematically, the cost of L number of large scooters is
130L
The total amount spent on both scooters is £1000
Mathematically,
80S + 130L = 1000
So we have 2 unknowns and only 1 equation. Therefore, we have use trial and error method .
Trial and Error Method:
80S + 130L = 1000
80S = 1000 - 130L
S = (1000 - 130L)/80
Let’s suppose they bought 1 large scooter
S = (1000 - 130(1))/80
S = 10.875
Number of scooters cannot be in fraction so 1 doesn’t work
Let’s suppose they bought 2 large scooter s
S = (1000 - 130(2))/80
S = 9.25
Number of scooters cannot be in fraction so 2 doesn’t work
Let’s suppose they bought 3 large scooter s
S = (1000 - 130(3))/80
S = 7.625
Number of scooters cannot be in fraction so 3 doesn’t work
Let’s suppose they bought 4 large scooters
S = (1000 - 130(4))/80
S = 6
So that means they bought 6 small scooters and 4 large scooters.
Similarly, other combinations for scooters don’t work since they yield either fractional value or negative value which cannot be correct.
Therefore, the only possible combination of small and large scooters is
6 Small scooters
4 Large scooters
Verification:
80S + 130L = 1000
80(6) + 130(4) = 1000
480 + 520 = 1000
1000 = 1000 (satisfied)
What is the Cosine of 150 degrees?
Answer:
-0.86602540378
Step-by-step explanation:
I used the cosine calculator.
In radians it is:
[tex]\frac{5\pi }{6}[/tex]
according to the unit circle it is:
[tex]-\frac{\sqrt{3} }{2}[/tex]
The answer in decimal form is:
0.69925080647
which two triangles are congruent
Answer:
A & C
Step-by-step explanation:
When two triangles are congruent they will have exactly the same three sides and exactly the same three angles
Answer:
Triangles A and C are congruent.
Step-by-step explanation:
Congruent triangles are when two triangles are congruent they will have exactly the same three sides and exactly the same three angles. The total of the angles of all triangles is 180, so then add all the angles then subtract that number from 180.
A: 110+30=140 (180-140=40)
B: 30+45=75 (180-75=105)
C: 110+40=150 (180-150-30)
Since Triangles A and C have the same angles, then they are congruent!!!
Simplify and determine the coefficient of (-2/5x)(5y)(-2x).
-4
1/5
1
4
Answer:
D.) 4
Step-by-step explanation:
the equation simplified is 4y and the coefficient of that is 4
Answer:
the answer is 4
Step-by-step explanation:
A skydiver descends at 20 1 3 kilometers per hour after deploying their parachute. Which of the following expressions represents the change in the skydiver's altitude if they descend for 4 7 of an hour?
1250mph you'd tear through the crust of the earth and create a supervolcano to end all of us.
Step-by-step explanation:
Never fall that fast when parachuting, only you can prevent supervolcanoes.
Solve the triangle m<N= 118°, m<P= 33° and m=15. Round to the nearest tenth. Please show work.
Answer:
M = 29
27.31838095 = n
16.8511209 = p
Step-by-step explanation:
M = 180 -33-118 = 29
We can use the rule of sines
sin A sin B sin C
------------ = ---------- = ------------
a b c
sin 118 sin 29
------------ = ----------
n 15
Using cross products
15 sin 118 = n sin 29
Divide by sin 29
15 sin 118 / sin 29 = n
27.31838095 = n
sin 33 sin 29
------------ = ----------
p 15
Using cross products
15 sin 33 = p sin 29
Divide by sin 29
15 sin 33 / sin 29 = p
16.8511209 = p
can some one help me plz with step by step
x^2 - 12x + 35
Answer:
(x + 3)(5x + 2)
Step-by-step explanation:
[tex] {x}^{2} - 12x + 35 \\ {x}^{2} - 7x - 5x + 35 \\ = x(x - 7) - 5(x - 7) \\ = (x - 7)(x - 5)[/tex]
Solve for x in the equation 2 x squared + 3 x minus 7 = x squared + 5 x + 39.
Answer:
its D
Step-by-step explanation:
on edge
How do u get this?? I know the answer but then I don't know why they shuld divide by 2 I will mark the person who explains wit proper explanation and gives the crct answer as brainliest....
Thank you so much
Answer:
10.89
Step-by-step explanation:
Circle:
C = TTD
C = TT(6.6)
C = 20.73451151
C = 20.73
Triangle:
A = bh/2
A = 6.6(3.3)/2 6.6/2=3.3
A = 21.78/2
A = 10.89
Shaded Region = 10.89
Please help!!! Idk how to do this.
Answer:
Hello! I think x= 1.6 or 1.3 in this situation
Step-by-step explanation:
The fact that the number 7 on the left quadrilateral is 6.3, and the 4's are 3.6, I have come to the conclusion that x equals either 1.6 or 1.3.
Find the meeting point of these two rights: y = 5x - 6 and y = -4x + 3
The meeting point is (1, - 1).
Look at the attachment to see.
Happy to help!
The trail is a loop that is 3/4 of a mile long. On Monday, Selma land the loop in 1/6 of an hour. What is selmas unit rate in mile per hour?
Answer:
1/10
Step-by-step explanation:
3/4 add 1/6
Saturn is 8.867 × 108 miles away from the Sun. Uranus is 1.787 × 109 miles away from the Sun. Approximately how many times farther is Uranus from the Sun than Saturn is?
A. 0.2 times
B. 2 times
C. 20 times
D. 200 times
Answer:
Uranus is approximately 5 times farther from the sun than Saturn. The smallest zero is x = -10 as its the left-most value on a number line.
Step-by-step explanation:
Saturn:8.867 x 108 = 957. 636
Uranus: 1.787 x 109 = 194.783
b. 2 times
Answer:
a = 0.2 times
Simplify a polynomial: (3x–4y)²–(3x–4y)(3x+4y)
Step-by-step explanation:
(3x-4y)×(3x-4y-(3x+4y))
(3x-4y)×(3x-4y-3x-4y)
(3x-4y)×(-8y)
-8y×(3x-4y
Answer: 32y^2 -24xy
Step-by-step explanation:
Of 25 test scores, 8 are less than or equal to 75. What is the percentile rank of a test score of 75?
a. 8
b. 17
c. 32
d. 68
The cereal box shown below is a rectangular prism. Find the surface area of the cereal box.
Answer:b
Step-by-step explanation:gbtggrtbttt
Answer: The answer is 580
Step-by-step explanation: you first do the front side which is 20 x 10 which is 200. You multiply 200 by 2 since the front and back are the same.
then you move on to the sides.
the bottom of the side is 3. The height is 20. 3 x 20 is 60. Since there are 2 sides, you will do 60 x 2 which is 120.
now we move on too the top. The width of width is 3. and the length is 10. 10 x 3 is 30. Since the bottom is also the same, you do 30 x 2. You add all the numbers.
So 400 (from the front and back) + 120 (from the sides) + 60 ( from the top and bottom)
thiss all equals 580. sorry if it is a bit confusing I just understood it too. I am 14 trying to get math a year above me.
Can a triangle have sides of lengths 9,17,15? Show why or why not.
Answer:
A triangle has 3 sides: a, b, c satisfying inequalities below:
=> a + b > c > |a - b|
=> b + c > a > |b - c|
=> c + a > b > |c - a|
9, 15, 17 satisfy the inequalities above (you can check it easily).
Hope this helps!
:)
Put the following equation in slope-intercept form: 3x+y=10
Answer
[tex]y=-3x+10[/tex]
This is the slope-intercept form.
Step-by-step explanation:
Amy paid $68.68 for a pair of running shoes during a 35 %-off sale. What was the regular price?
Answer:
original price = 105.66
Step-by-step explanation:
35% off means she pays 100-35 = 65%
original price * 65% = 68.68
Change to decimal form
original price *.65 = 68.68
Divide each side by .65
original price *.65/.65 = 68.68/ .65
original price = 105.66
In an experiment, the probability that event A occurs is 5/8 , the probability that event B occurs is 2/9 , and the probability that events A and B both occur is 1/5 . What is the probability that A occurs given that B occurs?
Step-by-step explanation:
p(A|B) = p(A and B) / p(B) =(1/5) / (2/9) = 0.9
The probability that event A occurs is 5/8 , the probability that event B occurs is 2/9 , and the probability that events A and B both occur is 1/5 . The probability that A occurs given that B occurs is 0.9.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.
P(E) = Number of favorable outcomes / total number of outcomes
The probability that event A occurs is 5/8
The probability that event B occurs is 2/9
The probability that events A and B both occur is 1/5.
So, The probability that A occurs given that B occurs
P(A|B) = P(A and B) / P(B)
= (1/5) / (2/9)
= 0.9
Learn more about probability here;
https://brainly.com/question/11234923
#SPJ2
The price of a washing machine was decreased by 20% to £640.
What was the price before the decrease?
Answer:
£800
Step-by-step explanation:
For this question we need to utilise decimal multiplier. Since this is a decrease question to work out the decimal multiplier you have take 100 away from the percentage and then divide by 100. If this was an increase question then we would had to add 100 to the percentage and then divide by 100. Since the question is asking for the price before the decrease we are going to have to divide the multiplier by the price so,
⇒ Work out the multiplier by taking 100 away from the percentage and then dividing by 100
→ 100 - 20 = 80 ↔ 80 ÷ 100 = 0.8
⇒ The multiplier is 0.8, now we have to divide the multiplier by the price
→ 640 ÷ 0.8 = 800
The price of a washing machine was decreased by 20% to £640. The price before the decrease was £800
If the height of a parallelogram is 4 times more than it’s base, and the area is 221 sq in, what is the base and height?
Answer:
Base = 13in
Height = 17in
Step-by-step explanation:
Step-by-step explanation:
height of a parallelogram = 4 times more than it’s base
Let height = H
Base = B
H = 4 + B
area of the parallelogram = 221 in²
area of the parallelogram = base × height
221 = B × H = B × (4+B)
221 = 4B + B²
B² + 4B - 221 = 0
Using almighty formula to find B
See attachment for explanation
From the calculation:
Since the dimension of the parallelogram can't be negative, B = 13in
Height = B + 4 = 13+4
Height = 17in
Answer:
Base = 13 inches
Height = 17 inches
Step-by-step explanation:
The formula to find the area of a parallelogram = Base × Height
Let's represent Base = B
Height = H
From the question, the height is 4 times more than the Base
Height(H) = B + 4
Area = 221 square inches
Therefore, area of a parallelogram = Base × Height
221 sq in = B ×( B+4)
221 sq in = B² + 4B
B² + 4B - 221 = 0
We would solve the quadratic equation using factorisation method. Hence,
B² + 17B - 13B - 221 = 0
(B²+ 17B) - (13B - 221) = 0
B(B + 17) - 13(B + 17) = 0
(B + 17) (B - 13) = 0
B + 17 = 0
B = - 17
Or
B - 13 = 0
B = 13.
From the above calculation, since B = Base
B = -17 inches Or 13 inches
The base of a parallelogram cannot be negative, hence , The Base of the Parallelogram = 13 inches.
We are told that the height of the Parallelogram is 4 times more than the Base. This was represented but the equation
B + 4 = H
Since B = 13 :
13 + 4 = H
Height(H) = 17 inches.
Therefore, The base of the Parallelogram is 13 inches while the height of the Parallelogram is 17 inches.
What is the length of the missing side? Hint: use the Pythagorean Theorem.
Answer: To find the missing length= WX= √9^2+12^2
WX= 15
Step-by-step explanation:
Find the value of a°
Answer:
If two vectors are parallel, applying the same side interior angles theorem:
=> 80 + a + 59 = 180
=> a = 180 - 80 - 59 = 41 deg
Hope this helps!
:)
Find the mean, median, mode, and range for the following values.
Option 1
Weekly earnings in dollars: 245, 250, 205, 240, 250, 275, 260, 295, 255, 225, 250
Option 1
Answer:
Mean - 250, Median - 250, Mode - 250, range - 90
Step-by-step explanation:
Answer:
mean: 250
mode: 250
median:250
range:90
Step-by-step explanation:
mean add everything and then divide
mode there are 3 250s making it the mode
median that is the middle
range 295-205=90