Step-by-step explanation:
4(a-3)=22
a-3=4-22
a-3=18
a=18+3
a=21
5(x-6)=65
x-6=65-5
x-6=60
×=60+6
x=66
hope it will help u...............
Answer:
a = [tex]\frac{34}{4}[/tex]
x = 19
Step-by-step explanation:
First equation
Expand the brackets
4(a-3) = 22
4a - 12 = 22
Add 12 to both sides
4a - 12 + 12 = 22 + 12
4a = 34
Divide both sides by 4
4a ÷ 4 = [tex]\frac{34}{4}[/tex]
a = [tex]\frac{34}{4}[/tex]
Second equation
Expand the brackets
5(x - 6) = 65
5x - 30 = 65
Add 30 to both sides
5x - 30 + 30 = 65 + 30
5x = 95
Divide both sides by 5:
5x ÷ 5 = 95 ÷ 5
x = 19
Hope this helps!
Is a list of numbers and each number is called a term of the sequence
Answer:
Terms are positive or negative single mathematical expressions.
Step-by-step explanation:
Jim is going from Town A to Town B. Town B is located at (-4, 5). He makes a stop at his friend’s house, which is halfway along the trip. What are the coordinates of his stop?
Answer:
tạo độ của anh ấy dừng là:
Step-by-step explanat ion(:-2,2.5)
2x+5+6x^2-4x+3x^4-6x^2+4x^4+7x
2737÷13 full workingout
210.53846
×wwwwwwwwwwwwwwwww
[tex]2737/13=\frac{2737}{13}[/tex]
This is because division is always the same as a fraction
30 points reward just answer plsss
the moons gravity is weaker than that of the earth
if a feather dropped on the moon falls 81.25 cm in 1 second, calculate the acceleration due to gravity on the moon, expressed in m/s/s
We want to find the moon's gravitational acceleration.
With the given information, we will see that the gravitational acceleration on the moon is: g = 1.625 m/s^2
We know that in a place with a gravitation acceleration g, if you drop something from a height H, the position equation of that object will be given by:
p(t) = (-g/2)*t^2 + H
In this case, we know that a feather falls 81.25cm in one second.
First, we can define H = 0 (because we can put the zero of the position where we want to)
Then if after one second the feather falls 81.25cm = 0.8125 meters, we need to solve:
p(1s) = -0.8125 m = (-g/2)*(1s)^2
Where the negative sign comes because the feather "falls" and we define the negative position as below.
Also notice that we did a change of units from centimeters to meters, by knowing that:
100cm = 1m
then:
81.25cm = 0.8125m
Now we just need to solve:
-0.8125 m = (-g/2)*(1s)^2
0.8125 m = (g/2)*(1s)^2
2*0.8125 m = (g)*1s^2
1.625 m = g*1s^2
(1.625 m)/(1 s^2) = g
We then can conclude that the moon's gravitational acceleration is:
g = 1.625 m/s^2
If you want to learn more,, you can read:
https://brainly.com/question/3009841
Which of the following equations represents a line that passes through the points (-10, -9)(−10,−9) and (10,-1)(10,−1)?
I. y+1=-\frac{2}{5}(x-10)y+1=−
5
2
(x−10)
II. 2x-5y=252x−5y=25
Answer:
y = 2/5x - 5
Step-by-step explanation:
(-10,-9) and (10,-1)
Slope: (-1 - - 9) / ( 10 - - 10)
Slope = 8/20 = 2/5
b = -9 - (2/5(10)
b = -5
The equation of the line that passes through the point (−10,−9) and (10,-1) is; y = 2/5x - 5
What is the Point-slope form?The equation of the straight line has its slope and given point.
If we have a non-vertical line that passes through any point(x1, y1) and has a gradient m. then general point (x, y) must satisfy the equation
y-y₁ = m(x-x₁)
Where x₁ - x coordinate, y₁ - y coordinate, m - slope
Slope: (-1 - - 9) / ( 10 - - 10)
m = Slope = 8/20 = 2/5
Now intercept;
b = -9 - (2/5(10)
b = -5
Now Write the equation as
y = 2/5x - 5
Hence, the equation of the line that passes through the point (−10,−9) and (10,-1) is; y = 2/5x - 5
Learn more about equations here;
brainly.com/question/25180086
#SPJ2
a teacher is making bags of different colors of modeling clay. the table shows the amount of each color she has avalible. each color will be divided into 3/16 pound bags. how many more bags of purple can she make then yellow?
Using the subtraction operation, the number of purple bags is 3 more than the number of yellow bags.
Amount of each color available :
Amount of purple color = 64 Amount of Yellow bags = 48Amount of color in pound required per bag = [tex]\frac{3}{16} [/tex]Number of Purple bags :
Amount of color required per bag × Amount of purple color
Number of purple bags = [tex]\frac{3}{16} \times 64 = 12[/tex]
Number of Yellow bags :
Amount of color required per bag × Amount of Yellow color
Number of yellow bags = [tex]\frac{3}{16} \times 48 = 9[/tex]
Now we find the difference between the number of Purple and Yellow bags :
Number of purple bags - Number of yellow bags
Difference = 12 - 9 = 3 bags
Therefore, there are 3 more purple bags than Yellow bags.
Learn more :https://brainly.com/question/18109354
solve the inequality. 1/3b - 4 ≤ 4
Answer:
b ≤ 24
Step-by-step explanation:
Treat it like a two-step equation:
1/3b - 4 ≤ 4
Add 4 on both sides: 1/3b - 4 (+4) ≤ 4 (+4)
1/3b ≤ 8
Multiply 3 on both sides (3)1/3b ≤ 8(3)
b ≤ 24
is 3x² - 4ab + 2 a polynomial?
Answer:
Yes it is a polynomial.
Step-by-step explanation:
3x² - 4ab + 2 is quadratic polynomial, since it has the highest power / degree of 2.
Note : -
Types of polynomials :
Linear Polynomial ( degree 1 )Quadratic Polynomial ( degree 2 )Cubic Polynomial ( degree 3 )Quartic Polynomial ( degree 4 )Answer:
[tex]4394[/tex]
Step-by-step explanation:
the bird is
what is the midpoint of 0.1 and 0.2
The answer is definitely 0.15
Explain why x2+7x+4=7x has no solutions.
[tex]x^2+7x+4=7x[/tex]
[tex]x^2+4=0[/tex]
[tex]x^2=-4[/tex]
Square of any real number cannot be negative because - * - = + so this equation has no solutions
Jon and Becky measured the circle-shaped part of a sun they drew on the sidewalk.
The diameter of the circle is 67 centimeters. What is the approximate area of the circle? (Use 3.14 for .)
Answer:
the area of the circle is 3,523.86
Step-by-step explanation:
Tomas and Tasha were hiking at a speed of 3.5 mph on their way back they were tired and their speed was 2 mph how long was the route if the way back took them 1 hour and 30 minutes longer (in miles)
Answer: 7 miles
Step-by-step explanation:
To get the length of the route use the expression for speed,
Distance = Speed × Time
Length of the route is 7 miles.
It's given in the question,
Speed of Tomas and Tasha initially = 3.5 mph
Therefore, distance travelled by both with the speed of 2 mph one way will be,
Distance = 3.5t [Here, t = time ]
Speed of both while coming back = 2 mph
And the time taken = t + (1 hour 30 minutes)
= (t + 1.5) hours
Therefore, distance travelled while coming back = Speed × Time
= 2(t + 1.5)
Since, length of the route is same both ways,
3.5t = 2(t + 1.5)
3.5t = 2t + 3
3.5t - 2t = 3
1.5t = 3
t = 2 hours
Now substitute the value of t in the expression to get the distance of the route,
Distance = 3.5t
= 3.5 × 2
= 7 miles
Therefore, route was 7 miles long.
Answer:
7
Step-by-step explanation:
look at answer
Select the correct answer
Victor solved this inequality as shown:
Step 1: 3x-5>x+5
Step 2: 2x-5>5
Step 3: 2x>10
Step 4: x>5
What property justifies the work between step 3 and step 4?
Answer:
In step 3: 2x>10 in order to get for x make divided 2 in both sides where you get x>5 in step 4
Answer:
division property of equality
Step-by-step explanation:
First in order to solve we must learn the properties of equality:
Addition property of Inequality:
If a > b , then a + c > b + c
substraction property of inequality
If a > b , then a - c > b - c
Multiplication property of inequality
If a > b , then a * c > b * c (if c > 0)
Division property of inequality
If a > b , then a / c > b / c (if c > 0)
Step 3: 2x>10
Step 4: x>5
When we divide by 2x/2 and 10/2 we get x>5 so we must use the division property of equality
I have no idea how to find multiple angles i was only taught how to find one..
Answer:
36+63+_=180
Step-by-step explanation:
just add up everything in the smaller triangle to get 180
then ignore the line inside of the bigger triangle and repeat the first step, but only just look at the bigger one! that is how to do it, but I won't give the answer, good luck! ;)
sa’mya built a rectangular flower garden the gardes is 10 feet long and 8 feet wide what is the area of sa’ma’s flower garden area=length x width
Answer:
Area of Rectangle = Width × Length
10 × 8 = 80
Step-by-step explanation:
give brainliest
Help pls
what is the slope intercept form of (-1,8) and (3,6)
Answer: y = 1/2x+15/2
Step-by-step explanation:
If you need any more help let me know!! I will try to answer every question you post!
I NEED HELP ASAP PLEASE NO LINKS!!!
Answer:
-31/4
Step-by-step explanation:
[tex]\frac{1}{2} ^{2}[/tex] is actually just (1/2)(1/2) and that equals 1/4
2 - (2/3) you can simplify to (6/3) - (2/3). that equals 4/3
now put it together!
(1/4) - 6(4/3)
(1/4) - (24/3) --------> (which simplifies to 8)
1/4 - 8 ----> (now you have to simplify this to match 1/4 denominator)
(1/4) - (32/4)
-31/4
msg or comment if you have any questions!
Drag each label to the correct location.
Use what you’ve learned about proportional relationships to classify these equations as direct variation, inverse variation, or neither.
PLEASE HELPPP
Answer:
Step-by-step explanation:
what is 46+56+3+17+30=
Answer:
The answer to your question is 152
Step-by-step explanation:
46+56+3+17+30= 152
I hope this helps!
Answer:
152
Step-by-step explanation:
46+56= 102. 102+3= 105. 105+17= 122. 122+30= 152
please check the picture!!
find the indefinite integral of:
Answer:
x = 23
Step-by-step explanation:
A cloud drifted above an airplane that was flying at 5,300 meters per minute. In 22.5minutes, the cloud moved 7,920meters to the east at a constant velocity. What was the cloud's velocity?
Answer is 352 metres
Step-by-step explanation:-The cloud is moving at a constant velocity. This means that we can find the velocity of the cloud by dividing the distance it moved by time:-
[tex]v = \frac{d}{t} [/tex]
Where "v" is velocity, "d" is distance and "t" is time.
The cloud moved 7920 metres in 22.5 minutes, so :-
[tex]v = \frac{7920 \: m}{22.5 \: min} [/tex]
[tex]v = 352 \: m/min[/tex]
Therefore, the cloud's velocity was 352 m/min.
✍️ By Benjemin ☺️
The price of an item is $45.00. After a discount, the price is $38.25. What is the percent of the discount?
Answer correctly and I will give brainliest
Answer:
=15
Step-by-step explanation:
45-x% *45=38.25
(-45) x/100=38.5-45
(-45)x/100=(-6.75)
x=6.75 * 100/45
=15
The percent of the discount is 15.
It is required to find the percent of the discount.
What is percentage?A part of a whole expressed in hundredths a high percentage of students attended. Also the result obtained by multiplying a number by a percent the percentage equals the rate times the base.
Given:
Let the discount percent be x%
When the price of $45 is reduced by x%, we get $38.25.
So,
45 − x % ∗ 45 = 38.25
− 45 x /100 = 38.25 − 45
− 45 x /100 = − 6.75
x = 6.75 ∗ 100 /45
x= 15
Therefore, the percent of the discount is 15.
Learn more about percentage here:
brainly.com/question/24999508
#SPJ2
Order these numbers from the least to the greatest. 7.618, 7.681, 7.6801, 7.0681
Answer:
7.0681, 7.618, 7.6801, 7.681
Step-by-step explanation:
from the least (smallest) to the greatest (largest)
7.0681, 7.618, 7.6801, 7.681
Factorize 3x² + 7xy - 6y².
Evaluate the expression in (a) above if x = 4 and y = 3.
Please help. Thanks.
Answer:
3(4)^2+7(4)(3)-6(3)^2
= 78
Write the side length of the square as a square root. Is the side length a rational number? Explain. a= 121
Answer:
yes
Step-by-step explanation:
Note that [tex]121=11^2[/tex].
The side length of the square with an area of [tex]121=11^2[/tex] will be [tex]\sqrt{11^2}[/tex].
Recall that [tex]\sqrt{a^2}=a[/tex], so the side length is [tex]\sqrt{11^2}=11[/tex]. [tex]11[/tex] is clearly rational because it's an integer, so the answer is [tex]\boxed{yes}[/tex], it is rational.
When you have two perpendicular lines that cross at the midpoint, what is the degrees if the angles ?
A( 180
B(90
C(360
Answer:
B) 90
Step-by-step explanation:
Perpendicular lines always meet at a 90 degree angle.
Answer:
B{90 but it depends which way like it could be A{180 but i'm pretty sure B
Step-by-step explanation:
common since
Determine the slope of this graph. Please get right. And ill add extra points.
Answer:
1/2
Step-by-step explanation:
Slope is the rise over the run. This means the difference in the y values over the difference in the x values.
The two points on the graph are (2,-2) and ( -6, -6 ).
The difference in the y values is a total of 4 units.
The difference in the x values is a total of 8 units.
The slope would then be 4/8 which simplifies to 1/2.
The line slants upward from left to right so the slope is positive.
Consider the matrices.
Answer:
Attached
Step-by-step explanation: