Answer:
5(4x+3)
5×4x + 5×3
20x+15
subtract the difference of p and a from 3
Answer:
see below
Step-by-step explanation:
Translating this into math we get 3 - (p - a).
What is the slope of the line represented by the equation y + 3 = -4(x - 5)?
Answer:
-4
Step-by-step explanation:
The point slope form of a line is
y-y1 = m(x-x1)
Where m is the slope and (x1,y1) is a point on the line
y + 3 = -4(x - 5)
The slope is -4
Write 9,622,000 in scientific notation.
Answer:
9.622 x 10^6
Step-by-step explanation:
Answer:
9,622*10 to the power of 3
Step-by-step explanation:
when using scientific notations you use ''10 to the power of ''
So in this case you have 3 zeroes which makes it 10 to the power of 3
[tex]9622000=9622*10^{3}[/tex]
The ages of Hari and Harry are in the ratio 5:7. Four years from now the ratio of their ages will 3:4. Find their present ages..................pls help me
Answer: 8:11
Step-by-step explanation:
5 and 3 is Hari's ages.
5+3=8 (Now Hari is 8 ages)
7 and 4 is Harry's ages.
7+4=11 (Now Harry is 11 ages)
Ratio is 8:11
Answer:
Harry is 11 and Hari is 8
Step-by-step explanation:
5:7+3:4=8 and 11
Pizza is often circular shape and size of the pizza is the length of diameter with included crust. A 16 inch pizza is one with a 16 inch diameter. What is the area of a 16 inch pizza?
Answer:
≈201 in²
Step-by-step explanation:
Area= π×r²= π×d²/4Area of 16 in pizza= π×16²/4= 3.14× 256/4 ≈201 in²Answer:
201 in²
Step-by-step explanation:
Hope this helps! :)
One-fourth of a certain number is removed from two- fifth of that number. if the result is 3, find the number.
Please Help It due soon.
Answer:
the answer is 20
Step-by-step explanation:
let the number be "x"
1st part = 2/5of x
2nd part = 1/4 of x
=) 2/5 x - 1/4 x = 3
=) lcm of 4 ,5 is 20
=) ( 2x * 4 ) - ( 1x *5) by 20 =3
=) 8x - 5x / 20 =3
=) 3x / 20 =3
=) 3x = 3 *20
=) 3x = 60
=) x = 60 /3
=) x = 20
the number is 20
Answer: 20
Step-by-step explanation:
2/5x -1/4x = 60
Multiply by 20 on both sides,
8x - 5x = 60
3x = 60
x = 60/3 = 20
help me i’m in need
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Example: (View attached image below). Table A is a function because each x value has only 1 y value. But Table B is not a function because the x value of 4 has 2 y values.
Answer:
D No, because on x values corresponds to two different y values
Step-by-step explanation:
This is not a function because an input has two different outputs
x=5 has two different y values
What is the slope of the line that goes through the points (1,5) and (4,1)
Answer:
[tex] - \frac{4}{3} [/tex]
Step-by-step explanation:
gradient formula:
[tex] \frac{y1 - y2}{x1 - x2} [/tex]
Thus, slope of the line
[tex] = \frac{5 - 1}{1 - 4} \\ = - \frac{4}{3} [/tex]
Slope of the line that passes through the points (1,5) and (4,1) is equals to [tex]\frac{-4}{3}[/tex].
What is slope?" Slope is defined as the ratio of difference of the increase in y- coordinates to the difference of increase in x- coordinates."
Formula used
Two coordinates on line
[tex]( x_{1} ,y_{1})\\\\(x_{2}, y_{2})[/tex]
Slope = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
According to the question,
Given,
Point on the line
[tex]( x_{1} ,y_{1})= ( 1,5)\\\\(x_{2}, y_{2})= ( 4,1)[/tex]
Substitute the value to get the slope of the line,
Slope = [tex]\frac{1-5}{4-1 }[/tex]
= [tex]\frac{-4}{3}[/tex]
Hence, slope of the line that passes through the points (1,5) and (4,1) is equals to [tex]\frac{-4}{3}[/tex].
Learn more about slope here
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Find the missing side. Be sure to show all of your work. Round to the nearest tenth
if necessary
Answer:
x=3.9 approximately
Step-by-step explanation:
Using Pythagorean theorem:
[tex]x^{2} + (5x)^{2} = 20^{2}[/tex]
[tex]x^{2} + 25x^{2} = 400[/tex]
26x^2 =400
x^2 = 15.3846
x=3.9
Equality Properties
Multiplication Property of EqualityDivision Property of EqualityAddition Property of EqualitySubtraction Property of EqualityGeometry[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
a is a legb is another legc is the hypotenuseApplicationStep 1: DefineLet's define what the problem gives us:
We are given a right triangle, indicated by the square box inside the triangle, with side lengths 5x and x and a hypotenuse of 20.We can set these measurements equal to our variables defined above in our Pythagorean Theorem equation:
a = 5xb = xc = 20Step 2: WorkNow, we can substitute our variables and solve for x, which will help us find the side lengths as well:
[Pythagorean Theorem] Substitute in variables:∴ our x approximately equals 3.9.
Now we can use our value of x to solve for the missing triangle lengths:
Length of 5x:
Substitute in x:∴ this particular side length has a length of 19.5.
Length of x:
Substitute in x:∴ this particular side length has a length of 3.9.
Answer∴ the side lengths of this particular triangle are 19.5 and 3.9, respective to their variables 5x and x.
___
Learn more about Triangles: https://brainly.com/question/20094559
Learn more about Geometry: https://brainly.com/question/16909531
___
Topic: Geometry
Unit: Triangles
Given the speeds of each runner below, determine who runs the fastest.
Ron runs 8 feet per second.
Liz runs 104 feet in 7 seconds.
Katie runs 1 mile in 526 seconds.
Emily runs 835 feet in 1 minute.
Answer:
Liz
Step-by-step explanation:
lets make all speeds ft/1sec
Ron 8ft/1sec
Liz 104ft/7sec : 104/7=
14.8571428571 ft/1 sec
Katie
1 mile = 5280ft
5280ft/526sec
5280/526=
10.0380228137ft/1 sec
Emily,
1 min= 60 sec
835ft/60 sec
835/60=
13.9166666667 ft/sec
now, lets order from least to greatest
R:8ft/1sec, K:10.0380228137ft/1 sec,
E:13.9166666667 ft/sec, L:14.8571428571 ft/1 sec
Liz's speed is fastest
2. Janice is buying paint to paint her new apartment. The store sells paint in one-gallon cans. How accurate does her estimate
need to be for the amount of paint needed?
Answer:
its 60-10+x why, because she bought the dress with $60 and she received $10 dollars back. We don't know the variable.
Bob buys eggs and potatoes at a store.
• He pays a total of $25.92.
• He pays $2.57 for the eggs.
• He buys 5 bags of potatoes that each cost the same amount, Which equation can be used to determine the cost, x, of each bag of potatoes?
a. X = (25.92 - 2.57) = 5
b. x = 25.92 = 5 + 2.57
c. X = (25.92 +2.57) = 5
d. x = 25.92 - 5 -2.57
Answer:
a. X = (25.92 - 2.57) ÷ 5
Step-by-step explanation:
shld be a divide sign instead of a equal sign before 5
Sara rolls two dice, one black and one yellow. What is the probability that she will roll a 3 on the black die and 5 on the yellow die?
Answer:
1/6 x 1/6 = 1/36
Step-by-step explanation:
We have to multiply as the odds get smaller as in every experimental probability being from experimental one dice and then trying to achieve that number alongside and same timing another number on an inclusive 2nd dice.
Which of the following equations is equivalent to the slope formula
Answer: D
Step-by-step explanation: Notice that if you multiply both sides of the equation of y2 = m (x2 - x1) + y1 by X2 - X1.
This gives you m(X2 - X1) = Y2 - Y1.
Then add Y1 to both sides to get m(X2 - X1) + Y1 = Y2.
This slope would be equivalent to the usual slope formula.
Which of the following describe an angle with a vertex at E?
Check all that apply.
The vertex of angle is the middle letter.
E is the vertex so the answers are:
A and C
Answer:
FED and DEF
Step-by-step explanation:
vertex is the middle letter
What is the explicit formula for the geometric sequence with this recursive formula?
Answer:
A
Step-by-step explanation:
The explicit formula for a geometric sequence is
[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
The recursive formula gives a term in the sequence by multiplying the previous term by r
Given the recursive formula
a₁ = - 6
[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] ([tex]\frac{1}{4}[/tex] )
with r = [tex]\frac{1}{4}[/tex]
Then explicit formula is
[tex]a_{n}[/tex] = - 6[tex](\frac{1}{4}) ^{n-1}[/tex] → A
The table below represents a proportional relationship. The unit rate of the relationship is
Answer:
the unit rate is 3
A colour printer prints 38 pages in 11 minutes. How many pages does it print per minute? round to nearest hundredth.
Answer:
3.45
Step-by-step explanation:
If the printer can print 38 pages in 11 minutes and we want to find how many it prints per minute, we can divide the number of pages printed by the time it took.
So, divide 38 by 11.
38/11 = 3.454545
Round to nearest hundredth: 3.45
Answer:
3.45 pages per minute
Step-by-step explanation:
Take the number of pages and divide by the number of minutes
38 pages/11 minutes
3.45454545 pages/minute
To the nearest hundredth
3.45 pages per minute
A company is replacing cables with fiber optic lines in rectangular casing BCDE. If segment DE = 3 cm and segment BE = 3.5 cm, what is the smallest diameter of pipe that will fit the fiber optic line? Round your answer to the nearest hundredth.
Answer: 3.66 cm
Step-by-step explanation: Given a rectangular casing BCDE with segment DE = 3 cm and segment BE = 3.5 cm.
The area A of a rectangle is length multiply by width.
Where length L = 3.5 cm and
width W = 3 cm
Area A = 3.5 × 3 = 10.5 cm^2
The pipe that will fit the fiber optic line is in cylindrical shape. Where area of a cylinder = πr^2.
But area A = 10.5. Substitute the values for the area of the cylinder
10.5 = πr^2
10.5 = 3.143 × r^2
Make r^2 the subject of formula
r^2 = 10.5/3.143
r = sqrt ( 3.34225 )
r = 1.828
Diameter = 2 × radius
Diameter = 2 × 1.829
Diameter = 3.656 cm
Therefore, the smallest diameter of pipe that will fit the fiber optic line is 3.66 cm approximately.
Answer:
4.24 cm
Step-by-step explanation:
pythagorean theorem
a^2+b^2=C^2
3^2+3^2=18
square root of 18 =4.24
hope this helped :)
The rate of change is constant in each table. Find the rate of change. Explain what the rate of change means for the situation
A. 10; your car travels for 10 hours.
B. 260 your car travels 260 miles.
C.1/65; your car travels 65 miles every 1 hour.
D.65/1 Your car travels 65 every 1 hour
Answer:
D
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(390-260)/(6-4)
m=130/2
m=65/1
every hour, a car travels 65 miles
D
Answer:
65/1
Step-by-step explanation:
write a^4*a^2 without exponents
Answer:
a x a x a x a x a x a
Step-by-step explanation:
a^4 x a^2
a x a x a x a times a x a
= a^6 or a x a x a x a x a x a
On a coordinate plane, a triangle has points R (negative 1, 3), S (3, negative 2), and T (1, negative 4). Which reflection will produce an image of ΔRST with a vertex at (2, –3)? a reflection of ΔRST across the x-axis a reflection of ΔRST across the y-axis a reflection of ΔRST across the line y = x a reflection of ΔRST across the line y = –x
Answer:
a reflection of ΔRST across the line y = –x
Step-by-step explanation:
A reflection across the line y = –x transforms point (x, y) into (-y, -x)
After reflecting ΔRST across the line y = –x we get:
R (-1, 3) -> (-3, 1)
S (3,-2) -> (2, -3)
T (1, -4) -> (4, -1)
where S is at the desired vertex
Answer:
The answer is D
Step-by-step explanation:
Have a nice day!
4. A driver set a goal to earn $2,000 in March. He receives a base salary of $1,000 per month as well as a 20% commission for all sales in that month. What does his total sales have to be this month to reach his goal?
Answer:
X=$5,000
Step-by-step explanation:
You can write an equation in slope-intercept to find an answer.
y=0.2x+1000, 20% commission is the slope and the base pay is the y-intercept.
Now, just plug in 2,000 for y.
2,000=0.2x+1,000, subtract 1,000.
1000=0.2x, Multiply by 5 to get x by itself.
x = 5,000
Hope this helped youuuuu
y+7=-2(x-3) write in slope form
Answer:
y=2x-3
Step-by-step explanation:
The slope intercept form is y=mx+b, where m is the slope and b is the y intercept.
y+7=-2(x-3) in slope formula would be y=2x-3, which also means the slope would be m=-2
I hope this helps :)
i need 29 part b and c please help!
Answer:
$1.50
Step-by-step explanation:
29 part c
3÷2= 1.50
3 is the cost
and 2 is the cups
for 3 drinks it would cost $1.50
-7n2 + 5n + 2 = 0
Find the discriminant of each quadratic equation then state the number and type of solutions.
Answer:
Step-by-step explanation:
D=5^2-4*(-7)*2
D=25+56
D=81
two real rational solutions, since 81 is a perfect square
write the sum using sigma notation 3^2+4^2+5^2+...+10^2
[tex]\sum\limits_{i=3}^{10}\big i^2[/tex]
or:
[tex]\sum\limits_{i=1}^{8}\left(2+i\right)^2[/tex]
or:
x₁=3, x₂=4, x₃=5, .... x₈=10
[tex]\sum\limits_{i=1}^{8}\big x_i^2[/tex]
The sigma notation of 3^2+4^2+5^2+...+10^2 is: [tex]\sum\limits^{10}_{n = 3} n^2[/tex]
How to express the sum as a sigma notation?The sum is given as;
3^2+4^2+5^2+...+10^2
The above means that the sum of the squares of integers from 3 to 10
Using the above statement, the sigma notation is:
[tex]\sum\limits^{10}_{n = 3} n^2[/tex]
Where n represents the current integer
Read more about sigma notation at:
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*WORTH 15 POINTS!!!*
please answer this (photo attached - question below)
( the “<“ have _ under them in the real questions sorry if that’s confusing)
PART A:
the domain of the function is _____ < x < ______
PART B:
the range of the function is _____ < f(x) < _____
PART C:
the function decreases from _____ < x < _____
Answer:
what is this I don't kno!
hi can anybody give me the answer i will mark them as a brainliest
Answer:
[tex]48cm^2[/tex]
Step-by-step explanation:
Use the area of rectangle formula.
[tex]A=lw[/tex]
[tex]A=12 \times 4[/tex]
[tex]A=48[/tex]
Solve the following system:
y = x + 3
4x + y = 18
Your answer:
(6, 3)
(3, 6)
(−3, 6)
(3, −6)
Answer:
B (3,6)
Step-by-step explanation:
y = x + 3
then we will use this y to substitute the other y
4x + y = 18
4x + (x +3) = 18
4x + x + 3 = 18
5x = 18 - 3
5x = 15
x = 15/5 = 3
then we can find the value of y
y = x + 3 = 3 + 3 = 6
so the (x,y) is (3,6)
