Answer:
1. 6+7= 13
2. 6-7= -1
3. 6+7= 13. (- × - = +)
4. -6-7= -13
5. -6-7= -13. (+ × - = -)
_________
[tex] \: [/tex]
1.) 6 + 7 = (5 × 2) + (1 + 2) = 10 + 3 = 13✔
2.) 6 - 7 = (5 - 5) + (1 - 2) = 0 + (-1) = -1✔
3.) 6 - (-7) = 6 + 7 = (5 × 2) + (1 + 2) = 10 + 3 = 13✔
4.) -6 - 7 = (-6) + (-7) = -(6 + 7) = -13✔
5.) -6 + (-7) = -(6 + 7) = -13✔
In a patriotic bag of red, white and blue M&Ms, it is found that there are 305 M&Ms. There are three times as many red as white. The blue are five more than twice the white. How many blue M&Ms are in the package ?
A. 50
B. 75
C. 35
D. 105
E. 95
Using a system of equations, it is found that the number of blue M&Ms in the package is of:
D. 105
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.In this problem, the variables are:
Variable x: Number of red M&Ms.Variable y: Number of white M&Ms.Variable z: Number of blue M&Ms.There are 305 M&Ms, hence:
[tex]x + y + z = 305[/tex]
There are three times as many red as white, hence:
[tex]x = 3y[/tex]
[tex]x + y + z = 305[/tex]
[tex]3y + y + z = 305[/tex]
[tex]4y + z = 305[/tex]
The blue are five more than twice the white, hence:
[tex]z = 5 + 2y[/tex]
Then:
[tex]4y + z = 305[/tex]
[tex]4y + 5 + 2y = 305[/tex]
[tex]6y = 300[/tex]
[tex]y = \frac{300}{6}[/tex]
[tex]y = 50[/tex]
[tex]z = 5 + 2y = 5 + 2(50) = 105[/tex]
Hence option D is correct.
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A street that is 250 m long is covered in snow. City workers are using a snowplow to clear the street. The snowplow has tires that are 1.7 m in diameter. How many times does a tire have to turn in traveling the length of the street?
Use the value for . Round your answer to the nearest tenth. Do not round any intermediate steps.
Answer:
The Snowplow needs to turn 44 times.
An object is launched at 9.8 meters per second (m/s) from a 308.7-meter tall platform. The function that represents the object's height s at time t seconds after launch is
s(t) = −4.9t2 + 9.8t + 308.7,
where s is in meters. When does the object strike the ground?
this is the full answer for you're Q
please give me good
The time taken by the object to hit the ground will be 9 seconds.
What is a quadratic equation?A quadratic equation is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.
Given that an object is launched at 9.8 meters per second (m/s) from a 308.7-meter tall platform. The function that represents the object's height s at time t seconds after launch is
s(t) = −4.9t²+ 9.8t + 308.7
To find the time taken put the function equal to zero.
−4.9t²+ 9.8t + 308.7 = 0
t² - 2t - 63 = 0
t² - 9t + 7t - 63 = 0
t ( t - 9 ) +7 ( t - 9 ) = 0
( t - 9 ) ( t + 7 ) = 0
t = 9 and -7(ignore)
t = 9 seconds
Therefore, the time taken by the object to hit the ground will be 9 seconds.
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plsssssssssssss answer
Answer:
Step-by-step explanation:
104 x
---- = ---
50 60
Cross multiply 104 by 60. 6240 is your answer.
Your new equation is 6240 = 50x.
Divide both sides by 50. 6240/50 = x
x = 124.8 mph (miles in one hour)
Factor each polynomial x^2-9x+10
Show your work
Answer:
not factorable
Step-by-step explanation:
[tex]x^{2} - 9x +10\\[/tex]
The easiest way to factor is to find two numbers of the "a" value (the coefficient before [tex]x^{2}[/tex]) and the factors of the c value (10) that ADD up to give you -9, in this case it would be:
1 -10 --> 1(-10) gives you -10
1 -1 --> 1(-1) gives you -1
adding these together -10 + (-1) = -11 which does not equal -9.
You could stop here and conclude that this is not factorable by inspection.
Another method: using the quadratic formula to find its roots.
Roots: [tex](\frac{9-\sqrt{41} }{2}, 0)[/tex] and [tex](\frac{9+\sqrt{41}}{2}, 0)[/tex]
SOMEONE HELP WITH THIS PLEASE!!
Answer:
Step-by-step explanation:
you just have to evaluate the expression and then solve it
Guys please help I hate geometry
Answer:
m∠1 = 75° m∠2 =45° m∠3 = 60°
Step-by-step explanation:
m∠1 = 180 - { (180 - 135) + (180 - 120) }
m∠1 = 180 - { 45 + 60 }
m∠1 = 75°
The angle between 1 and 3, lets call it x, is vertically opposite to ∠2, so we must find it first to be able to get ∠2
Since a ║b
Therefore ∠x and ∠135 are co-interior angles
Therefore ∠x = 180-135
m∠x = 180 - 135
m∠x = 45°
∠2 = ∠x (Vertically opposite angles)
∠2 = 45°
Between ∠2 and ∠3 there is an angle, let's call it z.
∠z = ∠1 (Vertically opposite angles)
∠z = 75°
Since the sum of angles 2, z and 3 = 180° (Straight angle)
Therefore m∠3 = 180 - (∠2 + ∠z)
m∠3 = 180 - (45 + 75)
m∠3 = 60°
Or in a different way
∠2 + ∠z + ∠3 = 180
45 + 75 + ∠3 = 180
120 + ∠3 = 180
∠3 = 180 - 120
∠3 = 60°
Hope it helps
Directions: Follow the instructions for the following inequalities. Will give brainlist!
1. 4<7 Multiply both sides by 7, then by 6, then by 3, then by 10
2. 11>-2 Add 5 to both sides, then add 3, then add (-4)
3. -4<-2 Subtract 6 from both sides, then 8, and then 2
4. -8<8 Divide both sides by -4, then by -2
5. Write a short explanation of the effects of the above operations. Did this affect the inequality sign? Was it still true? Why or why not?
1) 4<7
×7 ×7
28<49
×6 ×6
168<294
×3 ×3
504<882
×10 ×10
5040<8820
2) 11>-2
+5 +5
16> 3
+3 +3
19>6
+-4 +-4
15>2
3) -4<-2
-6 -6
-10<-8
-8 -8
-18<-16
-2 -2
-20<-18
4) -8<8
÷-4 ÷-4
2<-2
÷-2 ÷-2
-1< 1
5) ~The affect of the inequality sign didn't change. If you add or subtract the same positive or negative number to both sides of an inequality or an equation, the inequality stays the same. If you multiply or divide both sides of an inequality or an equation by the same positive number, the inequality stays the same. This is because when manipulating inequalities there are rules this if a < b then a + c < b + c so we get a new number that replaces a and b yet the inequality symbol stays the same so a still is smaller than b.
Hope this helped you- have a good day bro cya)
help - *sobs* lol T_T
A. 112°
21x+5+37x+1=180
58x+6=180
-6
58x=174
÷58
X=3
37(3)+1
111+1
112
Line m passes through
points X and Y. Line n passes through points x
and Z. If m and n have equal slope, what can
you conclude about points X, Y, and Z? Explain.
Answer:
X, Y, Z are collinear
Step-by-step explanation:
X,Y,Z lie on the same straight line
The slope of the lines are the same thus line m and n both passes through X, Y, and Z points and thus all three points will be colinear.
What is the slope?A slope is a tangent or angle at a point and a slope is the intensity of inclination of any geometrical lines.
Slope = Tanx where x will be the angle from the positive x-axis at that point.
Given that line m is passing →
Points X and Y
Line n passing →
Points X, Z
The slope of m = slope of n
If the slope same then the line will be parallel and since both lines are passing through the same point X thus they will be a colinear line.
All points that lie on the colinear line are colinear points.
Hence "X, Y, and Z all three points will be colinear".
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Given the definition of rational numbers, are decimals like 0.5 and 0.3 rational numbers? Why or why not?
Answer:
Yes they are rational numbers
Step-by-step explanation:
Given decimals like 0.5 and 0.3 are rational numbers because they are terminating decimals and can be written as p/q
What are rational numbers?Rational numbers are numbers which can be written in the form p/q , where p and q are integers ,q≠0, highest common factor of p and q is 1.
The decimal expansion of rational number are terminating decimal expansion or non terminating and recurring decimal expansions.
Examples of rational number: 1/2 , 3/4, 13/2, 0.125,0.5, 0.55555....,
0.1212121212.....
As the given decimals 0.5 and 0.3 have terminating decimal expansion therefore they are rational numbers.
The rational form of 0.5 and 0.3 are
0.5 = 5/10 = 1/2
∴ 0.5 is written as p/q with p= 1 and q =2≠0 , p and q are coprime
0.3 = 3/10
∴ 0.3 is written as p/q with p= 3 and q =10≠0 , p and q are coprime
Therefore, 0.5 and 0.3 are rational numbers.
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-39=18+4m enter your answer as a mixed number in simplest form in the box m=
Answer:
Step-by-step explanation:
-39 = 18 + 4m
4m + 18 = -39
Subtract 18 from both sides
4m = -39 - 18
4m = -57
Divide both sides by 4
m = -57/4
[tex]m = -14\dfrac{1}{4}[/tex]
Answer:
-14 1/4
Step-by-step explanation:
I took the test
please help with solving systtems of equation by graphing I'm lost
Answer:
Solution is (3, -3)
Step-by-step explanation:
To solve by graphing, you literally have to graph both lines to see where they intersect. That point of intersection is the solution to the given system.
Given the following linear equations:
y = - x where the slope (m) = -1, and the y-intercept (b) = 0.
y = x - 6 where the slope (m) = 1, and the y-intercept (b) = -6.
Plot the intercepts (0, 0) for the first line, and (0, -6) for the second line, as a starting point, then use the given slopes (rise over run) of each line to plot the next points. Repeat the process until you have enough points to connect with and create a line.
Attached is a screenshot of the graphed systems of linear equations. It shows that the solution is (3, -3).
Please mark my answers as the Brainliest, if you find this helpful :)
Help me with this problem plzzz
Answer:
definition of perpendicular
Step-by-step explanation:
typically when 2 lines cross they are 90 degrees or other word... perpendicular
QUWX is a field in the shape of a Trapezium whose parallel sides are 121m and 56m and the non parallel sides are 82m and34m. find the cost of ploughing the field at Rs 14.89 per square kilometre.(help with this one)
Answer:
hence the total cost to plough the trapezium field
is Rs. 893500.50
Step-by-step explanation:
the required answer may be wrong .... but this is the way to do it....
hope this helped you...☺️
comment if any confusion
HELP PLSSS THIS IS HARD SOMEONEEE
Answer:
Chase is correct. the first one
Step-by-step explanation:
ʜᴇʀᴇ ɪs ᴛʜᴇ ǫᴜᴇsᴛɪᴏɴ
Answer:
16) 19/4
17) -1
18) equiangular
19) (n-2) x 180
20) 0,1
21) sector
22) 20
23) n(n-3)/2
24) 144
25) Raw
Does anybody know the answer to this question f(x)=x^3-x^2-10x-8
Answer:
(X+1) (x - 4) (x+2)
Step-by-step explanation:
All the coefficients are integers so apply the rational zeros theorem.
The coefficient of x^3 is 1.
Divide (x^3-x2-10x-8)(x+1) = x^2-2x-8 with remainder = 0
The remainder is 0. (x+1) is a factor.
(x + 1) ( x^2 - 2x - 8)
x^2 - 2x - 8 (-4 * 2= 8) and -4 + 2 = -2)
= (x -4) (x+2)
Find the missing angle measure.
Can someone tell me the answer to this please
Answer:
sum of all angles of a triangle= 180°
Let angle A be x,
then 63°+90°+x=180°
x=17°
What is 4 plus 3 plus 6 plus 10
Answer:
23
Step-by-step explanation:
4+3+6+10
4+3 = 7
7 + 6 = 13
13 + 10 = 23
This is super easy, no offense
Fill in the missing number. % of 90 = 54
Answer:
60
Step-by-step explanation:
Trust me homie
If triangle weighs 1 gram how much does a square weigh
Answer:
the answer should me 1.5 grams
Step-by-step explanation:
The unit price (rate) per 1 gallon of gas is $3.00. The constant of proportionality is $3.00. Using the unit rate, how much will 15 gallons of gas cost?
A) $3.00
B) $21.00
C) $45.00
D) $90.00
If it takes 5.5 hours to fill a 4.675 gallon swimming pool, how many gallons can be filled in one hour?
Answer:
0.85 gallons
Step-by-step explanation:
4.675(gallons) dived by 5.5(hours). Hope it helps
[tex]\sf HELP![/tex]
[tex]\sf 17=2x-9[/tex]
Answer:
x=13
Step-by-step explanation:
Switch sides:
2x−9=17
Add 9 to both sides:
2x−9+9=17+9
Simplify
2x=26
Divide both sides by 2:
2x/2 =26/2
Simplify to get the result.
x=13
Answer:
x=13
Step-by-step explanation:
[tex]\sf 2x-9=17[/tex]
[tex]\sf 2x-9+9=17+9[/tex]
[tex]\sf 2x=26[/tex]
[tex]\sf \cfrac{2x}{2}=\cfrac{26}{2}[/tex]
[tex]\sf x=13[/tex]
Solve and graph the solution to the inequality -2(2x-3)<-26
Answer:
[tex]x > 8[/tex]
Step-by-step explanation:
1. Simplify the expression
Expand the parentheses:
[tex]-2*2x-2*-3<-26[/tex]
Simplify the arithmetic:
[tex]-4x+6<-26[/tex]
2. Group all constants on the right side of the inequality
Subtract 6 from both sides:
[tex]-4x+6-6<-26-6[/tex]
Simplify the arithmetic:
[tex]-4x<-26-6[/tex]
Simplify the arithmetic:
[tex]-4x<-32[/tex]
3. Isolate the x
Divide both sides by-4:
When dividing or multiplying by a negative number, always flip the inequality sign:
[tex]\frac{-4x}{-4} >\frac{-32}{-4}[/tex]
Cancel out the negatives:
[tex]\frac{4x}{4} >\frac{-32}{-4}[/tex]
Simplify the fraction:
[tex]x>\frac{-32}{-4}[/tex]
Cancel out the negatives:
[tex]x>\frac{32}{4}[/tex]
Find the greatest common factor of the numerator and denominator:
[tex]x>\frac{8*4}{1*4}[/tex]
Factor out and cancel the greatest common factor:
[tex]x>8[/tex]
4. Solution on a coordinate plane
Solution:
[tex]x>8[/tex]
Interval notation:
[tex](8, { \infty} )[/tex]
The circular top of a clay pot has a diameter of 14 centimeters . What is the circumference of the pot's circular top ? Use 3.14 for π
Answer:
Circumference formula is πr². while we do not have the radius, you do have the diameter, the diameter is the full length of the circle while the radius is half of the circle. So you take 14/2=7 so the new equation is π7² so you would do 7x7 to get 49, then you would do 49 x 3.14 and you'll have 153.86 Centimeters². You'll need to double check this but I hope this helped.
PLS help I will mark brainiest and say thanks and give five stars.
Answer:
m<BEC=80º
Step-by-step explanation:
a line is 180º total
180-70-30=80
Answer:
BEC = 80°
Step-by-step explanation:
Supplementary = 180°
70 + 30 = 100
180 - 100 = 80
Hope this helps! Pls give brainliest!
Today, both the soccer team and the basketball team had games. The soccer team plays every 4 days and the basketball team plays every 5 days.
Answer:
20
Step-by-step explanation:
Assuming you are referring to the day that both teams would play on the same day, it would be the 20th.
There are two ways you can do it.
1. List out the multiples of each number
2. multiply the two days together
If you want to do it the first way it would look like this...
5 10 15 20
4 8 12 16 20
When you do it like this it shows you that the 20th day is the day they would both play together
If you want to do it the second way it would look like this...
4th day X 5th day = 20th day
Either way you solve the problem you get the same answer, this may not work for every problem like this, but it works for this particular one
What is the equation of the line that passes through the point (- 1, - 5) and has a slope of -1
Answer:
y = -x - 6
Step-by-step explanation:
Slope = m = -1
Equation of line: y = mx + b
y = - x + b
Plugin x = -1 and y = -5 in above equation
-5 = -(-1) + b
-5 = 1 + b
-5 - 1 = b
b = -6
Equation of the line: y = -x - 6