Answer:
It is 4.
Step-by-step explanation:
9(4)=36
36(4)=144
144(4)=576
576(4)=2304
Hope this helps:)
One-fifth of the length of a foot-race is 3 miles. Find the length of the race
Answer:
let's call the entire length of the foot race we are looking for: d
for distance.
We can then rewrite this problem as:
One-third of d
is 5 miles. What is d .
When dealing with fractions in this way the word "of" means to multiply. So we can write this problem in algebraic form as:
1 3 × d = 5
We can multiply each side of the equation by
3 to solve for d
while keeping the equation balanced:
3 × 1 3 × d = 3 × 5
3 3 × d = 15 1 × d = 15 d = 15
The length of the race is 15 miles.
Step-by-step explanation:
hope this helps
3. A rectangular garden has an area of 40m² and a perimeter of 26m. The length of the
garden is a cm and its width is b cm.
(a) Form two equations involving a and b.
(b) Solve these equations simultaneously in order to find the length and width
of the garden
Answer:
a) a +b= 13, ab= 40
b) length= 8m, width= 5m
Step-by-step explanation:
Perimeter of rectangle= 2(length +width)
Area of rectangle= length ×width
a) Perimeter= 26m
2(a +b)= 26
Divide both sides by 2:
a +b= 26 ÷2
a +b= 13 ----- (1)
Area= 40m²
ab= 40 ----- (2)
b) From (1): a= 13 -b ----- (3)
Substitute (3) into (2):
(13 -b)(b)= 40
Expand:
13b -b²= 40
b² -13b +40= 0
Factorise:
(b -5)(b -8)= 0
b -5= 0 or b -8= 0
b= 5 or b= 8
Substitute into (3):
a= 13 -5 or a= 13 -8
a= 8 or a= 5
Since the length is usually the longer side of the rectangle, the length and the width of the rectangular garden is 8m and 5m respectively.
Answer:
Step-by-step explanation:
Perimeter = 2length + 2 width
2a + 2b = 26 m
Divide the equation by 2
[tex]\dfrac{2a}{2}+\dfrac{2b}{2}=\dfrac{26}{2}\\\\[/tex]
a + b = 13 --------------(I)
a = 13 -b
Area = length *width
a*b = 40 sq.m
ab = 40 ----------------(II)
Plugin a = 13 -b in the equation (II)
(13 - b)*b = 40
13*b - b*b = 40
13b - b² = 40
0 = 40 + b² - 13b
b² - 13b + 40 = 0
Sum = - 13
Product = 40
Factors = (-8) , (-5) {-8 + (-5) = -13 & (-5)*(-8) = 40}
b² - 8b - 5b + (-8)*(-5) = 40
b(b - 8) - 5(b - 8)= 0
( b - 8) (b - 5) = 0
b - 8 =0 ; b -5 =0
b= 8 ; b = 5
Length = 8 cm
Width = 5cm
if a pair of consecutive interior angles are congruent, what is the measure of each angle?
Answer:
a 90 angle
Step-by-step explanation:
Mrs. Lopez boked 120 cookies. She placed 1 1/4 dozen cookies in small boxes. How many boxes did she use
28-30. solve the problem above in any way you would ake it to solve. show it in illustration, graphical presentation, or any method you wish to use to anive for the answer.
❤️ PLEASE HELP ME❤️
Answer:
96
Step-by-step explanation:
120/1.25=96
sara recycled 541 cans this month her mom recycled 479 how many cans did the recycled altogether?is this amount even or odd how do you know
Answer:
1020 Even
Step-by-step explanation:
541+479=1020 Ends in 0 ... even
Answer:
1020 even
Step-by-step explanation:
571 + 479
An herbalist is mixing a 9-kilogram batch of a medicinal blend. The blend, which costs $25.05 per kilogram to make, is made up of ground ginseng at $33.85 per kilogram and golden chia at $16.25 per kilogram. How many kilograms of each should be used to make the 9-kilogram batch?
Write your answers as whole numbers or as decimals rounded to the nearest tenth.
For 9 Kg ground ginseng needed =304.7
For 9 Kg golden chai needed =146.2
For the blend =225.5
What is Unitary Method?It is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.
First, let us make a note of the information we have. There are 5 ice-creams. 5 ice-creams cost $125.
Step 1: Let’s find the cost of 1 ice cream. In order to do that, divide the total cost of ice-creams by the total number of ice-creams. The cost of 1 ice-cream = Total cost of ice-creams/Total number of ice-creams = 125/5 = 25. Therefore, the cost of 1 ice cream is $25.
Step 2: To find the cost of 3 ice-creams, multiply the cost of 1 ice cream by the number of ice-creams. The cost of 3 ice-creams is cost of 1 ice-cream × number of ice-creams = 25 × 3 = $75. Finally, we have the cost of 3 ice-creams i.e. $75.
given:
The blend, which costs $25.05 per kilogram.
For 9 Kg ground ginseng needed = 33.85* 9 =304.65 = 304.7
For 9 Kg golden chai needed = 16.25 * 9= 146.25=146.2
For the blend = 25.05 * 9= 225.45=225.5
Learn more about Unitary method here:
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Hello, could someone please help me with this
Answer:
27.825
Step-by-step explanation:
Sure!
To turn a fraction into a decimal you simply divide 33 by 40. The whole number - 27 - can stay.
27 33/40 = 27 + (33/40)
= 27 + 0.825
= 27.825
Mark brainliest if possible, have a nice day!
29. After Mr. Cheng spent $145 on groceries
and $29 on office supplies, he had at least $78
in his wallet. What is the least amount he could
have started with, if he paid cash?
Sadlier, Inc. All rights reserved.
Answer:
426
Step-by-step explanation:
Find the value of x in each case. 18 c
please hurry
Answer:
x = 22.5Step-by-step explanation:
Interior angles of ΔABE are:
∠EAB ≅ ∠DEA as alternate interior angles ⇒ m∠EAB = 2xm∠AEB = 180° - m∠BEF as linear pair ⇒ m∠AEB = 180° - 4xm∠ABE = 180° - m∠EBC as linear pair ⇒ m∠ABE = 180° - 6xSum of interior angles is 180°:
2x + 180 - 4x + 180 - 6x = 180360 - 8x = 1808x = 180x = 180/8x = 22.5someon ehelp plzzzzzzz
Answer:
y=32
Step-by-step explanation:
[tex]\frac{3}{2} y=48[/tex]
[tex]\frac{2}{3}[/tex]•[tex]\frac{3}{2} y[/tex]=[tex]\frac{2}{3}[/tex]•[tex]48[/tex]
[tex]\frac{1}{3}[/tex]•[tex]3y=\frac{2}{3}[/tex]•[tex]48[/tex]
[tex]y=\frac{2}{3}[/tex]•[tex]48[/tex]
[tex]y=2[/tex]•[tex]16[/tex]
y=32
Solve for H 39=1/2(h+7)(h)
Determine if each of the following sequences is arithmetic. If so, write Zrecursive rule and an explicit rule for the sequence. If not, explain why. (Lesson 4.2) 3. -8,-1, 6, 13... 4. 1, 8, 27,81...
9514 1404 393
Answer:
3. yes: a[1] = -8, a[n] = a[n-1] +7; an = -8 +7(n -1)
4. no (no common difference)
Step-by-step explanation:
An arithmetic sequence is one in which each term has the same difference from the term before it.
__
3. -1 -(-8) = 7; 6 -(-1) = 7; 13 -6 - 7. The differences are all 7, so the terms have a common difference. This sequence is arithmetic.
The general form of the recursive rule for an arithmetic sequence with first term a1 and common difference d is ...
a[1] = a1; a[n] = a[n-1] +d . . . . . recursive rule
a[1] = -8; a[n] = a[n-1] +7
The general form of the explicit rule for an arithmetic sequence is ...
an = a1 +d(n -1)
an = -8 +7(n -1)
__
4. The differences are ...
8 -1 = 7; 27 -8 = 19; 81 -27 = 54 . . . the differences are not common
This sequences is not arithmetic.
What percent of workers have output more than 70 units?
Answer:
30 Percent
Step-by-step explanation:
Answer:
The Answer will be 25%.
Help ! Answer please
Answer:
they did the subtraction wrong it should be addition
Step-by-step explanation:
REAL ANSWERS PLS NEED HELP
vertex: (-2,-4)
axis of symmetry: x = -2
hope this helps :)
I need help with finding the points
.................
{ x - 3y= -3 & x + y= 5 We are to use the graph to solve the given system of equations, then enter your solution below. I get how to draw the second equation but not the first. found slope of 1/3 & b=1. i dont understand how to graph this. I have tried different ways but keep getting it wrong.
Answer:
Solution: (3, 2)
Step-by-step explanation:
It's easier to graph when the equation of the lines are in their slope-intercept form, y = mx + b.
x - 3y = -3
-3y = -x - 3
Divide both sides by -3:
[tex]\frac{-3y}{-3} = \frac{-x - 3}{-3}[/tex]
y = 1/3x + 1
where slope = 1/3
y-intercept = 1
x + y = 5
Subtract x from both sides to isolate y:
x - x + y = - x + 5
y = -x + 5
where slope = -1
y-intercept, 5
I started by graphing the y-intercepts of each line. Then, I used the slope of each linear equation (rise over run) to plot the next points on the graph. In the attached screenshot of the graph, x - 3y = -3 is the blue line, while x + y = 5 is the green line. Their intersection occurs at point, (3, 2).
Therefore, the solution is (3, 2).
Please mark my answers as the Brainliest if you find my explanations helpful :)
pls change this to decimal number 1011111 base 2
===========================================================
Explanation:
Check out the table below. Each 1 and 0 corresponds to a power of 2. A 1 indicates that we'll add on that power of 2 while a 0 means we ignore it. We will add up the items in the second row that correspond to a "1" in the first row.
We get:
2^6+2^4+2^3+2^2+2^1+2^0 = 64+16+8+4+2+1 = 95
Effectively, we add nearly everything in the second row except for the 2^5 term.
Therefore, the number 1011111 base 2 is equivalent to 95 base 10.
Please answer the following questions pertaining to the functions. Show your work! Given the equation 2x-3y=12
A) Determine if the solution(s) if the equation is paired with 3x+2y=31
B) Determine if the solution(s) if the equation is paired with 6x-9y=11
C) What types of slopes do parallel lines have?
Answer:
below
Step-by-step explanation:
A) 3x+2y=31 is line perpendicular with 2x-3y=12, slope= -3/2 vs 2/3 and intersect at (9 ,2)
B) 6x-9y=11 parallel to 2x-3y=12, has same slope of 2/3, no intersect
C) they have "positive type of slopes" to form parallel lines
9514 1404 393
Answer:
A) (x, y) = (9, 2)
B) no solution
C) the same slope
Step-by-step explanation:
A) In the attached, the given equation is graphed in red. The paired equation is shown in blue. They intersect at the point (9, 2), which is the solution to this system of paired equations.
__
B) The line is parallel to its paired line, so there is NO SOLUTION.
__
C) Parallel lines have the same slope.
_____
Additional comments
A graphing calculator provides a quick and easy solution to a system of equations. There are many calculators and apps and on-line sites that can solve a system of equations for you.
For the pair of equations in part A, you can eliminate the y-variable by adding 2 times the first equation to 3 times the second equation:
2(2x -3y) +3(3x +2y) = 2(12) +3(31) ⇒ 13x = 117 ⇒ x = 9
Substituting in the first equation gives ...
2(9) -3y = 12 ⇒ 6 -y = 4 ⇒ y = 2
__
For the paired equation in part B, the ratio of the x- and y-coefficients is 6/-9 = -2/3, the same as it is for the given equation. The constants are different (even after dividing the second equation by 3), so the lines are parallel (not coincident). This means the system of paired equations has no solution.
The amount of fresh water left in the tanks of a
nineteenth-century clipper ship is a linear function of
the time since the ship left port, as shown in the table.
Write an equation in point-slope form that represents the
function. Then find the amount of water that will be left in
the ship's tanks 50 days after leaving port.
Please help
Answer:
1768 gallons will be left
Step-by-step explanation:
its far too long I worked so hard pls brainliest
Write an equation of a line that is perpendicular to the graph of y=2/5x-1
PLEASE HELP!!!!!!
WILL MARK BRAINLIEST!!!!
Answer:
range = 36
Step-by-step explanation:
The range is the difference between the maximum value and the minimum value. So the approximate max value is 44, and approx min value is 8, 44-8=36. Hope that helped :)
If g(x) + x cos(g(x)) = x3, find g ′(0).
Looks like the equation is
[tex]g(x) + x \cos(g(x)) = x^3[/tex]
Differentiate both sides with respect to x, using the chain rule on the left side:
[tex]g'(x) + \cos(g(x)) - x \sin(g(x)) g'(x) = 3x^2[/tex]
Solve for g'(x) :
[tex]g'(x) (1 - x \sin(g(x))) = 3x^2 - \cos(g(x)) \\\\ g'(x) = \dfrac{3x^2 - \cos(g(x))}{1 - x \sin(g(x))}[/tex]
When x = 0, we have
[tex]g'(0) = \dfrac{0-\cos(g(0))}{1-0\sin(g(0))} = \boxed{-\cos(g(0))}[/tex]
(This is all you can say without providing the value of g (0).)
Which of the following has the same value as -10 + (-3)?
a)-10-3
b) -10 - (-3)
c) -3 + 10
d) -3 - (-10)
Step-by-step explanation:
option A has the same value to that equation.
hope this helps you.
Answer:
a)-10-3
Step-by-step explanation:
-10+(-3)
=-13
-10-3
=-13
The fraction 460/7 is closest to which of the following whole numbers? A: 65
B: 66
C: 67
D: 68
Answer:
a
Step-by-step explanation:
You want to get a pizza the pizza is 14.00 but 50% off. How much will the pizza cost with 8% delivery tax Fees included?
Answer:
7.56
Step-by-step explanation:
14x.50(the remainder after you subtract the percent from 100) = 7
8% of 7 is 0.56
7+0.56=7.56
could use some help.
Answer:
I'm pretty sure it is B
Step-by-step explanation:
peo code how to solve 234%56 $34$ ?
345$234$45% peo code ####
Convert grams to kilograms by completing the number sentences.
4,567 grams= _______ x_______
=_______x________
=_______x________
Answer:
0.004567 kilograms
Step-by-step explanation:
4.567 grams=4.567÷1000=0.004567
becouse 1 kilogram = 1000grams
The conversion of 4,567 grams into kilograms will give the result of 0.004567 kilograms.
What is unit conversion?It is defined as the conversion from one quantity unit to another quantity unit followed by the process of division, and multiplication by a conversion factor.
We need to Convert grams to kilograms by completing the number sentences.
Since, 1 kilogram = 1000 grams
4.567 grams = 4.567 ÷ 1000
4.567 grams = 0.004567
Therefore, the conversion of 4,567 grams into kilograms will give the result of 0.004567 kilograms.
Learn more about the unit conversion here:
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On the first day of a family road trip, Tamara's family travels 540 miles.
On the third day, they travel 15% farther.
How many miles does Tamara's family travel on the third day?
Answer: 621 miles on the third day
to find 15% of 540 multiply 540 by .15
540 x .15 = 81
Add 81 to 540
540 + 81 = 621
Answer:
Step-by-step explanation:
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