First represent your two consecutive integers as follows.
X ⇒ first integer
X + 1 ⇒ second integer
Since their sum is 51, our equation reads x + x + 1 = 51.
Now combine like terms to get 2x + 1 = 51.
Now subtract 1 to isolate the 2x and this gives us 2x = 50.
Since 2 is being multiplied by x, to get x by itself, we need
to divide by 2 on both sides of the equation to get x = 25.
If x = 25, then x + 1 would be 25 + 1 or 26.
So our two consecutive integers are 25 and 26.
The scale on a map shows that 5 centimeters = 2 kilometers. What number of centimeters on the map represents an actual distance of 5 kilometers?
A. 50 cm
B. 12.5 cm
C. 10.5 cm
D. 2 cm
Given that 5 centimeters equals 2 kilometers, we are asked to find how many centimeters equals to 5 kilometers.
So, we know the rate is 5 centimeters is equal to 2 kilometers.
We should find out how many centimeters equals 1 kilometer.
To do this, we can divide 5 centimeters by 2 to find out how many centimeters is 1 kilometer.
5/2 = 2.5
So, the new rate is 2.5cm = 1km.
Then, all we need to do is multiply the new rate by 5 to find out how many centimeters is 5 kilometers.
5 x 2.5 = 12.5
Therefore, 12.5 centimeters equals a distance of 5 kilometers.
Answer:
B.
Step-by-step explanation:
2 kilometer = 5 cm
And
5 km = ? cm
Using unitary method
2 km = 5 cm
1 km = 5/2 cm
1 km = 2.5 cm
Now
Multiplying both sides by 5 we'll get:
5 km = 2.5 × 5 cm
5 km = 12.5 cm
the cylinder has a base radius of 100cm
the height of cylinder is 250cm
1liter=1000cm^3
how many litters of oil are in the rank
round the answer to the nearest liter
Answer:
3927 litres
Step-by-step explanation:
V=hpir²
1/2 full
Vcylinderthisone=(1/2)hpir^2
given
h=250
r=100
So...
V=(1/2)(250)pi(100)²
V=125pi10000
V=1250000pi
aprox pi=3.141592
V=3926990 cm^3
divide by 1000
3926.99 liters
about 3927 litres
Problems:
1.John began his job making $20 the first day. After that he was paid $6.00 per hour. Y = 6x + 20.
Answer:
Im confused on what the question is. The equation you have is correct. Youhave the Y=Mx+b format so M=6 and b=20
Step-by-step explanation:
find the volume of the triangular prism will mark brainliest pls answer
a)27yd3
b)72yd3
c)240yd3
d)360yd3
Answer:
The answer is c because the five is throwing you off
Find the perimeter of the figure to the nearest hundredth.
Answer:
[tex]P=2\pi (4) +6+6+2+2=8\pi+16[/tex]
Sally wants to purchase a new car, and its price is $35,000. Since Sally does not have enough money, she would like to get a loan from Sun Trust Bank with a simple interest rate of 4.5% for 6 years. What is the final cost of her new car?
Answer:
The formula to calculate the final cost of Sally's new car:
C = 35000 x (1 + 4.5/100)^6 = 45579.1 dollar
Hope this helps!
:)
A right triangle has side lengths 5 , 12 , and 13 as shown below. Use these lengths to find tanX , cosX , and sinX
Answer:
[tex]$\text{sin}(x)=\frac{12}{13} $[/tex]
[tex]$\text{cos}(x)=\frac{5}{13} $[/tex]
[tex]$\text{tan}(x)=\frac{12}{5} $[/tex]
Step-by-step explanation:
Consider:
[tex]$\text{sin}(x)=\frac{\text{Opposite}}{\text{Hypotenuse}} $[/tex]
[tex]$\text{cos}(x)=\frac{\text{Adjacent}}{\text{Hypotenuse}} $[/tex]
[tex]$\text{tan}(x)=\frac{\text{Opposite}}{\text{Adjacent}} $[/tex]
I will apply adjacent side to angle [tex]x[/tex] as 5. and opposite side to angle [tex]x[/tex] as 12.
So,
[tex]$\text{sin}(x)=\frac{12}{13} $[/tex]
[tex]$\text{cos}(x)=\frac{5}{13} $[/tex]
[tex]$\text{tan}(x)=\frac{12}{5} $[/tex]
tan x 5
12
sin x 5
13
cos x 12
13
this is the correct answer
Which of the following equations is an example of a quadratic equation? y = |6 x| y = 9 y = x - 5 y = x 2 - 5
HELP ME PLEASE ASAP.
400 ml of squash is made by mixing 50 ml of cordial with water. what fraction of the drink is water?
give your answer in the simplest form.
Answer:
Fraction of drink that is water = = 0.875 = 87.5 %
Explanation:
400 ml of squash is made by mixing 50 ml of cordial with water.
Total volume of squash = 400 ml
Total volume of cordial = 50 ml
Total volume of water = 400 - 50 = 350 ml
Fraction of drink that is water = Volume of water/ Volume of squash
= 350/400
= 7/8
= 0.875 = 87.5 %
And I see ur profile pic of a gachaverse character I love gacha
Solve the following equation algebraically: x squared = 12
Answer:
x=3.46
Step-by-step explanation:
Answer:
-3.4641 and 3.4641 or x= -2√3 and x= 2√3
Step-by-step explanation:
x²=12 take the square root of both sides
x=±2√3 separate the solutions
x= -2√3 or x= 2√3 solve
x= -3.4641 or x=3.4641
Evaluate b^2 for b= -4
Answer:
16
Step-by-step explanation:
b^2
Let b= -4
(-4)^2
16
Answer:
16
Step-by-step explanation:
We have the expression:
b^2
We know that b= -4. Therefore, we can substitute -4 in for b.
(-4)^2
-4^2 is the same as multiplying 4, 2 times.
-4^2
=-4*-4
2 negative numbers multiplied together make a positive number.
= 16
A bird sanctuary needs at least 500 lbs of corn per month. The storage shed
contains 87 lbs of corn on the first day of the month. If corn is bought in 40-lb
bags, which inequality can be used to calculate how many bags of corn, x, are
needed for the month?
Answer:
x≥(500-87)/40
Step-by-step explanation:
You need 500 lbs and already have 87 so you need at least 413 bags. You divide you 40 because they come in 40 pound bags. Round up so that you have the minimum number of bags necessary to reach 500 lbs of corn.
PLZZ HELP ASAP The graph of the function f(x) = –(x + 6)(x + 2) is shown below.
Which statement about the function is true?
The function is increasing for all real values of x where
x < –4.
The function is increasing for all real values of x where
–6 < x < –2.
The function is decreasing for all real values of x where
x < –6 and where x > –2.
The function is decreasing for all real values of x where
x < –4.
Answer:
Step-by-step explanation:Sorry my answer thing isn't working. But the answer is the first one.
Answer:
a
Step-by-step explanation:
what is the surface area of this square pyramid
Answer:
Surface area of square pyramid shown in picture:
A = area of 4 triangles + area of square
= 4 x 4 x 3 x (1/2) + 3 x 3
= 33 (ft)
=> Option 4 (last one) is correct
Hope this helps!
:)
If abcde is reflected over the x axis and then translated 3 units left, what are the new coordinates C? A. (-2, 2) B (1, 2) C (4, 2) D (-4, -2)
Answer:
(1,2) B
Step-by-step explanation:
One month Jane rented 4 movies and 8 video games for a total of $49. The next month she rented 2 movies and 3 video games for a total of $19. Find the
rental cost for each movie and each video game,
Answer:
movie costs $1.25
Video game costs $5.50
Step-by-step explanation:
4x + 8y = 49 , 2x +3y = 19. By solving for x first, we get x=5/4. After substituting x into the equation, we get 4(5/4) + 8y =49 , 2(5/4)+3y=19 and then we solve for y. and we get y=11/2. check our answer, and it is true.
Hope you find this helpful
WHOEVER EXPLAINS ALL THEIR WORK AND GOES THROW EAXH STEP WILL GET BRAINLEST THAT IS COMPLETELY FINISEHD. write the equation of the line that goes through the points (3,2) (4,-1) show ALL steps and EXPLAIN what you are doing in each step. you will be graded on showing all the steps and your explanation.
Answer:
[tex]y = -3x+11[/tex]
Step-by-step explanation:
I accept your challenge!
First we know that a equation of the line is a linear equation, and its equation is:
[tex]y = mx+b[/tex]
[tex]m: \text{slope}\\b: \text{y-intercept}[/tex]
In this context, the slope, defined as the steepness of a line is characterized as the ratio of RISE (the difference in the y-coordinates, the vertical change) over the RUN (the difference in x-coordinates, the horizontal change).
[tex]$m=\frac{\text{change in y}}{\text{change in x}}=\frac{\Delta y}{\Delta x}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} $[/tex]
Once we know two points where the line goes through, we can get the slope, once we know the change in y and x.
I will take [tex](3,2)[/tex] as Point 1 and [tex](4,-1)[/tex] as Point 2.
So, [tex]x_{1}=3 \text{ and } y_{1}=2\\x_{2}=4 \text{ and } y_{2}=-1[/tex]
[tex]$m=\frac{\text{change in y}}{\text{change in x}}=\frac{\Delta y}{\Delta x}=\frac{-1-2}{4-3} $[/tex]
[tex]$m=\frac{-3}{1}=-3 $[/tex]
Now we have to find the y-intercept:
To do so, think about the the points given and the nearly finished equation, we can find b with those two informations.
Our currently equation of the line is:
[tex]y = -3x+b[/tex]
Using the points, take Point 1 as an example, it says that when [tex]x = 3, y = 2[/tex], so plugging it in the equation:
[tex]2 = -3(3)+b\\2 = -9+b\\11 = b[/tex]
Taking the Point 2
[tex]-1 = -3(4)+b\\-1 = -12+b\\11 = b[/tex]
Now we found [tex]b[/tex]! The equation is complete!
[tex]y = -3x+11[/tex]
The probabilities of landing on 1, on 2, on 4, on 5 or on 6 when rolling
a biased dice are shown in the table.
Number on dice
1
2
3
4
5
6
Probability
0.13
0.05
0.21
0.19
0.3
The biased dice is rolled 300 times.
Estimate the total number of times the dice will land on 3 or on 4.
Answer:
99
Step-by-step explanation:
3=0.12
3 =0.12×300=36
4 =0.21×300=63
63+36= 99
Determine the intercepts of the line.
Hello there!
The x-intercept and y-intercept of the line shown on the graph are...
x-intercept: (-7,0)
y-intercept: (0,2)
Answer:
The x-intercept and y-intercept of the line shown on the graph are...
x-intercept: (-7,0)
y-intercept: (0,2)
Step-by-step explanation:
Tyson is buying a 35-pound bag of dog food. The label says that it contains 23% protein by weight.
To the nearest pound, how much protein is in the bag of dog food?
O A 8
оооо
O c. 12
OD. 152
Answer:
8.5
Step-by-step explanation:
it would technically round to 9, but given the answer choices its A) 8
The protein in the bag of dog food is 8 pounds.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
Weight of the bag = 35 pounds
Percentage of the weight of protein = 23%
The weight of the protein in the bag.
= 23% of 35 pounds
= 23/100 x 35
= 8.05 pounds
= 8 pounds
Thus,
The weight of the protein is 8 pounds.
Learn more about percentages here:
https://brainly.com/question/11403063
#SPJ5
NEED HELP ASAP WITH FULL WORK
Answer:
Length of DE = 22.8cm
Step-by-step explanation:
Given: 23° and 8.9cm
To find the length of DE, we need to use the SOH-CAH-TOA method.
Since DE is the hypotenuse (The longest side), we need to use SOH meaning sinФ([tex]\frac{opposite}{hypotenuse}[/tex]).
The opposite of the angle, 23° is 8.9cm, by replacing the formula with the given, we would get the following: sin(23°)=([tex]\frac{8.9}{x}[/tex]).
To calculate, we need to multiply 'x' to both sides: x*sin(23°) = 8.9
Using a calculator, sin(23°) is 0.39
0.39x = 8.9
By dividing 0.39 to both sides, we should end up with 22.8cm (rounded to the nearest tenth of a centimeter).
The figure below is a rectangular box in which EFGH and ABCD are rectangles and BF is perpendicular to planes EFGH and ABCD. Use the figure to complete parys a through e.
Answer:
Step-by-step explanation:
Given question is incomplete: Find the compete question in the attachment.
a). Skew lines neither the parallel lines nor they intersect each other.
Two pairs of skew lines are BF and EH, & CG and EF.
b). Since EFGH and ABCD are rectangular planes and BF and DH are perpendicular to them,so both will be the altitudes between the planes.
Therefore, BF and DH will pe parallel.
c). BD and DH are the diagonals of the planes parallel to each other.
Therefore, BD and DH will be parallel.
d). Since BD and plane EFG don't intersect each other, so the solution will be an empty set.
e). HG is perpendicular to DH. So,the planes BDH and FHG containing these lines will be perpendicular to each other.
The pattern follows the "add one dot to the top of each column and one dot to the right of each row" rule. What will the 8th term be?
A pattern showing the square term number rule. The first term has one dot. The second term has four dots. The third term has nine dots. The fourth term has sixteen dots.
A. 36
B. 49
C. 64
D. 81
Answer:
64 dots
Step-by-step explanation:
theres a pattern
the number of terms is always multiplied by itself for Instance 4 terms= 16 dots 4×4=16
Answer:
64bdots I believe
Step-by-step explanation:
i Don't know how to explain this :(
Given the following statements, what conclusion can be drawn using the law of syllogism?
If the area of a square is an odd perfect square, then the side length of the square will be odd.
If the side length of the square is odd, then the perimeter of the square will be even.
If the perimeter of a square is even, its side length must be odd.
If the perimeter of a square is even, the area of the square will be an odd perfect square.
If the area of a square is an odd perfect square, the perimeter of the square will be even.
No conclusion can be reached based on the law of syllogism.
Answer:
C) If the area of a square is an odd perfect square, the perimeter of the square will be even.
Step-by-step explanation:
Just did it on edge.
Option 3 - If the area of a square is an odd perfect square, the perimeter of the square will be even is correct.
We have the statements given in the question.
We have to investigate the conclusion that can be drawn using the law of syllogism.
What is Law of Syllogism ?The Law of Syllogism says that if the following two statements are true:
→ If p, then q.
→ If q, then r.
Then, the following statement is also true -
→ If p, then r.
According to the question, we have -
→ P(If the area of a square is an odd perfect square) ,Q(then the side length of the square will be odd).
→ Q(If the side length of the square is odd), R(then the perimeter of the square will be even).
Now, in the above statements, q is true for p and r is true for q.
Therefore, Option 3 is correct.
To solve more questions on syllogism, visit the link below-
https://brainly.com/question/21635821
#SPJ2
hurry will give brainliest!!
Answer:
y=-2x+6
Step-by-step explanation:
If you find the slope it is -2
Answer:
[tex]y=-2x+6[/tex]
Step-by-step explanation:
Teh easiest way to answer this is to sub the points we have into the equation to see if they work. For B, plugging 0 in for x gives us 6, and plugging 3 in for x gives us 0. Hope this helps!
janine wants a necklace 60 beads long. how many blue and black beads would she need each
Answer:
30
Step-by-step explanation:
divide by 2
60÷2= 30 each
Answer:
the answer if it had to be in a ratio is 1:4 or if u need a whole number its 30 hope this helps
On a coordinate plane, a curved line with minimum values of (negative 1.5, negative 2) and (1.5, 2), and a maximum value of (0, 4), crosses the x-axis at (negative 2, 0), (negative 1, 0), (1, 0), and (2, 0), and crosses the y-axis at (0, 4). Which is an x-intercept of the graphed function? (0, 4) (–1, 0) (4, 0) (0, –
Answer:
do you stillneed help?
Step-by-step explanation:
pls show a picture of something attached
Answer:
(4,0)
Step-by-step explanation:
Edg 2020
Help me ASAP and I will give you brainliest plzzzzzzzzzz
Find the perimeter of the triangle.
Answer:
7n+14
Step-by-step explanation:
Can someone please help me out?
Answer:
A
Step-by-step explanation:
To find the volume of the prism, we'll find the area of the base and multiply it by the height. The base is a triangle, so its area is 1/2 * 6 * 5 = 15. The height is 11, so the total volume is 15 * 11 = A) 165 ft³. Hope this helps!
Chris is completing his chores. He has two chores remaining: dusting and vacuuming. Chris is having trouble deciding which chore to complete first. Which of the following best describes a method of assuring that each chore has a fair chance of being selected to complete first?
A.
There is no way to assure that each chore has a fair chance of being selected to be completed first.
B.
Roll an ordinary die. If the die lands on an even number, dust first. If the die lands on an odd number, vacuum first.
C.
Flip a fair coin two times. If the coin lands on heads on both flips, dust first. If the coin lands on tails on both flips, vacuum first. If the coin lands on a heads on the first flip and tails on the second flip, vacuum first. If the coin lands on tails on the first flip and heads on the second flip, flip again.
D.
Roll an ordinary die. If the die lands on one, dust first. If the die lands on two, vacuum first. If the dies lands on three, dust first. If the die lands on four, five, or six, roll again.
Answer: c
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Solve everything else first. Then come back to A.
B. 1, 3, 5 and 2, 4, 6 are both consisting of 3 numbers. Fair
C. HH=dust TT=vacuum HT=vacuum TH=flip Not fair
D. 1=dust 2=vacuum 3=dust 4, 5, 6=roll Not fair
B is the answer
Please mark as Brainliest! :)
Have a nice day.