Step-by-step explanation:
2b+5b=7b
35=7b
35/7=5
b=5
Answer:
b=5
Step-by-step explanation:
2b+5b=35
7b=35
b=35/7
b=5
Type the correct answer in each box. If necessary, use / for the fraction bar(s).
Given: A B || CD
If the coordinates of point A are (8. 0) and the coordinates of point Bare (3. 7), the yintercept of AB is____. If the coordinates of point Dare (5, 5), the equation of line CD is y= __ x+ __?
Answer:
8,3 y=3x+4
Step-by-step explanation:
The y intercept of line AB is 56/5 and the equation of the line CD is y = -7/5 x + 12.
What is Slope?Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.
Given A(8, 0) and B(3, 7).
Equation of line in slope intercept form is y = mx + c, where m is the slope and c is the y intercept.
Slope of AB = (7 - 0) / (3 - 8) = -7/5
Substituting in the equation,
y = -7/5 x + c
Substituting a point (8, 0) on the equation,
0 = (-7/5 × 8) + c
c = 56 / 5
Given AB parallel to CD.
Slope of parallel lines are equal.
Slope of CD is -7/5.
Equation of the line CD is y = -7/5 x + c.
Substituting (5, 5),
5 = (-7/5 × 5) + c
c = 12
Equation of CD is y = -7/5 x + 12
Hence the equation of line CD is y = -7/5 x + 12.
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The yellow turtle country covered 33 cm in six minutes her speed as a unit rate is blank a country walk blank in one minute
Answer:
5.5 cm/minute
Step-by-step explanation:
Given that,
The yellow turtle country covered 33 cm in six minutes.
To find unit rate, divide distance covered by the time.
Here, distance = 33 cm
Time, t = 6 minutes
[tex]R=\dfrac{33\ \text{cm}}{6\ \text{minutes}}\\\\=5.5\ \text{cm/minutes}[/tex]
Hence, the unit rate is 5.5 cm/minute. It means, Courtney covered 5.5 cm in one minute.
Kaitlyn start a job that pays $8.50 per hour Caitlin's manager says that if her job reviews were favourable she can expect annual pay rate increases of $0.75 which equation represents the relationship between years on the job and pay for our
Given:
Initial pay rate = $8.50 per hour
Increase in pay rate = $0.75 per year
To find:
The equation that represents the relationship between years on the job and pay for hour.
Solution:
Let x be the number of years and y be the pay rate after x years.
According to the question,
Increase in pay rate in 1 year = $0.75
Increase in pay rate in x year = $0.75x
So, variable pay rate = $0.75x
Initial pay rate = $8.50
So, the total pay rate is
Total pay rate = Initial pay rate + Variable pay rate
[tex]y=8.50+0.75x[/tex]
Therefore, the required equation is [tex]y=8.50+0.75x[/tex].
A cylindrical tank has a radius of 5.5 ft and an altitude of 16 ft. If a gallon of paint will cover 130ft^2 of surface, how much paint is needed to put two coats of paint on the entire surface of the tank?
Answer:
Approximately 11 gallons of paintStep-by-step explanation:
First we need to calculate the Total surface area of the cylindrical tank as shown;
TSA of the tank = 2πr² + 2πrh
TSA of the tank = 2πr(r+ h) where;
r is the radius of the tank
h is the height
Given
radius = 5.5ft
height = 16ft
Get the surface area;
TSA = 2π(5.5)(5.5+ 16)
TSA = 2π(5.5)(21.5)
TSA = 2π(118.25)
TSA = 2(3.14)(118.25)
TSA = 742.61ft²
If a gallon of paint will cover 130ft^2 of surface, then the total number of paint needed will be;
Total number of paint needed = 742.61/130
Total number of paint needed = 5.7
For one coat we will need 5.7gallons of paint
For two coats we will need 2 * 5.7gallons = 11.4
Hence approximately 11 gallons of paints will be needed for the two coats
A baseball team won 15 of its games last year. This year, they won 20% more games. How many games did the team win this year?
A.
18
B.
20
C.
25
D.
35
Answer:
D 35
Step-by-step explanation:
Just added them together
Step-by-step explanation:
A is the answer bsbdbxbxb
At the movies, a couple bought 2 medium drinks and a large popcorn for $13.85. At the same theater, a family bought 3 medium drinks and 2 large popcorns for a total of $23.90. What is the cost of a medium drink?
Answer:
$3.8
Step-by-step explanation:
What is the cost of a medium drink?
Let medium drinks = x
Large popcorn = y
At the movies, a couple bought 2 medium drinks and a large popcorn for $13.85.
2x + y = 13.85...Equation 1
y = 13.85 - 2x
At the same theater, a family bought 3 medium drinks and 2 large popcorns for a total of $23.90.
3x + 2y = 23.90.... Equation 2
Substitute y = 13.85 - 2x
3x + 2(13.85 -2x) = 23.90
3x + 27.7 - 4x = 23.90
3x - 4x = 23.90 - 27.7
-x = -3.8
x = $3.8
Since x = medium drink, the cost of a medium drink = $3.8
18. Write an equation in point-slope form of the line that passes through the given point and with the given slope m.
(-3,1);m=3
20. Write an equation in slope-intercept form of the line that passes through the given point and is parallel to the graph of the given equation.
(-3,-5);y=-2x+2
21. Write an equation in slope-intercept form of the line that passes through the given point and is perpendicular to the graph of the given equation.
(0,0);y=-3x+2
Answer:
(-4,-2); y=4x+2
Step-by-step explanation:
in ACE, G is the centroid and BE = 9. find BG and GE
Answer:
b-g is 3
g-e is 6
Step-by-step explanation:
good luck, have a good day, can i get brainliest
GE = 6 and BG = 3
What is centroid?The point in which the three medians of the triangle intersect is known as the centroid of a triangle.
Given that, G is the centroid and BE = 9
The centroid point G divides the segment BE in the ratio 2:1, such that GE is twice the length of BE,
BG = 1/3*BE
BG = 1/3*9 = 3
And,
GE = 2/3*9 = 6
Hence, GE = 6 and BG = 3
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Find the dot product of the given vectors.
u= -5i + 3j
v=3i + 4i
Answer:
[tex]\mathbf{a}\cdot \mathbf{b}=-3[/tex]
Step-by-step explanation:
The dot product of vectors.
Given two vectors a and b in their rectangular form:
[tex]\mathbf{a}= a_x\mathbf{i}+a_y\mathbf{j}[/tex]
[tex]\mathbf{b}= b_x\mathbf{i}+b_y\mathbf{j}[/tex]
The dot product of the vectors is a scalar with value:
[tex]\mathbf{a}\cdot \mathbf{b}=a_x.a_y+b_x.b_y[/tex]
The given vectors are:
[tex]\mathbf{u}= -5\mathbf{i}+3\mathbf{j}[/tex]
[tex]\mathbf{v}= 3\mathbf{i}+4\mathbf{j}[/tex]
Calculating the dot product:
[tex]\mathbf{a}\cdot \mathbf{b}=(-5)(3)+(3)(4)=-15+12=-3[/tex]
[tex]\mathbf{a}\cdot \mathbf{b}=-3[/tex]
ASAP The grocery store sells fish for $8.50 a pound and hamburger for $3.00 a pound. Write an equation in
standard form for the weights of fish fand hamburger h that a customer could buy with $24.
Answer:
8.50f + 3.00h = 24
Step-by-step explanation:
5X + 2 = 12 two step eqation can someone help
How would i know if a line on a graph has passed the vertical line test?
Answer:
The vertical line will only pass the graph line once.
Step-by-step explanation:
For example, I found an example online. The vertical line intersects a circle twice. But on a horizontal squiggly line, it only touches it once. So the circle is NOT a function but the squiggly line IS a function.
Hope this helps!! Brainiest is appreciated!! Happy Holidays!!!!
Which equation is equivalent to 9x+4y=16
y=9/4x+4
y=-9/4x+4
y=4/9x+16/9
y=-4/9x+4/7
Answer:
The answer is 4/9x+16/9
Step-by-step explanation:
What is the slope of a like perpendicular to a line with a slope of 0
Answer:
0
Step-by-step explanation:
Dont take my word for it but I think it should be 0
Evaluate the expression yz when x= 3, y=6 and z=12.
Answer: 72
Step-by-step explanation:
y=6, z=12
yz=6 x 12=72
Who ever answers this YOUR A GENIUS!! (;
Answer:
A point on line PN is S
Step-by-step explanation:
Answer:
I think the answer is s.
hope this answer will help you
Find the slope of the graph
Answer:Pick two points on the line and determine their coordinates.
Determine the difference in y-coordinates of these two points (rise).
Determine the difference in x-coordinates for these two points (run).
Divide the difference in y-coordinates by the difference in x-coordinates (rise/run or slope).
Step-by-step explanation:
Factors of 49 that add to 14
Answer: (7, 7)
Explanation: To get to 49 and 14, you only have one option.
7+7=14
7*7=49
please find the value of x :)
Answer:
x = 16
Step-by-step explanation:
90 = x+8+66
x = 90-74
x = 16
Answer:
16
Step-by-step explanation:
:D
‼️PLEASE HELP!! ASAP‼️Find the missing side
Answer:
10.5
Step-by-step explanation:
Waylon played defense in 12 soccer games. This was 60% of the total number of games he played. How many games did Waylon play?
Number of Games Played
20%
20%
20%
20%
20%
16
18
20
24
Answer:
I think the answer is 20
Answer:
C: 20
Step-by-step explanation:
This my last question I need help plz
Answer:
y-5=1/3(x-6)
Step-by-step explanation:
SO find the slope first
ANd then just fill out the point slope formula
30 men repair a road in 56 days by working 6 hours daily. In how many days 45 men will repair the same road by working 7 hours daily?
Step-by-step explanation:
(30 men, 56 days, 6 hours daily)
=> (30 men, 48 days, 7 hours daily)
=> (45 men, 32 days, 7 hours daily)
Hence it will take 32 days.
(-2,6) and (1,-1) whats the slope
Answer:
7/-3
Step-by-step explanation:
6--1=7
-2-1=-3
Answer:
The slope is m=-7/3
m=y²-y¹/x²-x¹
m=(-1)-6/1-(-2)
m=-7/3
I'LL MARK BRANLIST. A box contains 3 plain pencils and 3 pens. A second box contains 3 color pencils and 7 crayons. One item from each box is chosen at random. What is the probability that a plain pencil from the first box and a color pencil from the second box are selected? Write your answer as a fraction in simplest form.
Answer:
First Box: 3/6 --- 1/2
Second Box: 3/10
Please help me out!!!!!!!
Answer:
Is a 0
Step-by-step explanation:
what is
(5x+7)-(x+2)
Answer:
4x+5
Step-by-step explanation:
5x+7-x-2
5x-x+7-2
4x+5
Answer:
4x+5
Step-by-step explanation:
its math I guess, combining like terms and all that
Which ratio forms a proportion with 1442? Bruh I will give y’all points and brainlesst
Answer:
7/21
Step-by-step explanation:
14/42 is 7/21 in another form
1. Factorize :
(a) 2x + 6
Answer:
2(x+3) is the correct answer
Step-by-step explanation:
2 × x=2x 2×3=6
2x+6
2(x+3)
Answer:
2x=6/:2
x=3
that's the answer
A sign in front of a roller coaster says "You must be 40 inches tall to ride."
What percentage of this height is: 26 inches
Answer:
65%
Step-by-step explanation:
it is 65%
Answer:
10.4 Inches
Step-by-step explanation:
26% * 40 = 10.4