Answer:
10
Step-by-step explanation:
3/5 simpilfied is 0.6
So 6/0.6 = 10
The length of a rectangle is 20cm longer than its width.
The area of the rectangle is 1000cm?
Find the width and length of the rectangle.
Give your answers in surd form.
[tex]\text{Width} ~= w ~ cm \\\\ \text{Length}~,l = (20+ w) ~ cm \\\\\text{Area of rectangle} = 1000 cm^2\\\\\\\text{Now,}\\\\l \cdot w = 1000\\\\\implies (20 + w) w= 1000\\\\\implies w^2 +20w -1000=0\\\\\\\implies w = \dfrac{-20 \pm \sqrt{20^2 - 4 \cdot 1 \cdot (-1000)}}{2 \cdot 1}\\\\\\\implies w = \dfrac{-20 \pm \sqrt{4400}}{2}= \dfrac{-20\pm 20\sqrt{11}}2 = -10 \pm 10\sqrt{11}\\\\\text{Width cannot be negative so,} \\\\w= -10+10\sqrt{11}=10\left(\sqrt{11} - 1 \right) ~ cm\\\\[/tex]
[tex]\text{And length,}[/tex]
[tex]l= 20+ 10\left(\sqrt{11} - 1} \right) = 20 + 10\sqrt{11} - 10 = 10 + 10\sqrt{11} = 10 \left(1+ \sqrt{11} \right)~ cm[/tex]
One side of a regular hexagon ABCDEF forms the side of a regular polygon with n sides.
Angle GAF = 105°. Work out the value of n.
Answer:
n = 8.
Step-by-step explanation:
The interior angle of a regular hexagon = 120 degrees.
So m < GAB = 360 - 120 - 105
= 135 degrees so the regular polygon has a total of 135n degrees.
Using the formula for the sum of interior angles of a polygon,
For the polygon with n sides:
Sum of interior angles = 180(n - 2)
135n = 180(n - 2)
135n = 180n - 360
45n = 360
n = 360/45 = 8.
The ratio of dogs to cats is 25:75. How many cats are there if there are 75 dogs?
Answer:
225
Step-by-step explanation:
25:75=75:?
25*3 is 75, so 75*3 is ?
75*3 is 225
Hope this helps!
Let me know if it does
Answer: 225 cats
Step-by-step explanation:
25 dogs x 3: 75 cats x 3
75 dogs: 225 cats
Blue10
Brown15
Green5
Red10
Yellow12
The table shows how many of each color candy came out of a bag. What is the probability of choosing a brown candy?
PLS HELP!!
IM GIVING BRAINLIEST!!!
No stealing points, no links, only correct answers!!!!!
hey ty if you can answer
Answer:
c (I think it is c, but I am not a 100% sure)
Step-by-step explanation:
x and y have to be same
Have a nice day! :-)
Answer:
a. ∞, -∞
Step-by-step explanation:
The line has negative slope, so the sign of the end value of y will be the opposite of the sign of the end value of x.
x → -∞, y → ∞ . . . . . off the top of the graph as x goes to the left
x → ∞, y → -∞ . . . . . . off the bottom of the graph as x goes to the right
The end behavior is summarized as ...
∞, -∞ . . . . . matches choice A
If f(1)=3f(1)=3 and f(n)=f(n-1)^2-3f(n)=f(n−1) 2 −3 whatsthe value of f(4)f(4)
Answer:
Step-by-step explanation:
So you can do that for me and you have a lot to say I don’t want you have a lot
A card game has 50 cards. After dealing 7 cards to each player, Tupi has 15 cards left over. Solve the equation 50 7p = 15 to find the number of players.
What type of angle is 19 degrees
Answer:
Obtuse Angle
Step-by-step explanation:
Answer:
Acute
Step-by-step explanation:
A city planner wants to build a road perpendicular to D Street. What should be the slope of the new road?
Answer:
0
Step-by-step explanation:
The slope of D street on this graph is "undefined." A perpendicular will have a slope that is zero. That is, D is a vertical line on the map, so the perpendicular will be a horizontal line.
The slope of the new road should be zero.
4.875 = d - 2.125
what do I do here?
Answer:
d=7
Step-by-step explanation:
7-2.125= 4.875
7 is your answer as it balances both sides of the equation.
i got seven by adding 2.125. to 4.875
Answer:
Step-by-step explanation:
1. add 2.125 to both sides of your equation
4.875 = d - 2.125
+2.125 +2.125
7 = d
The d is now isolated which allows us to see the answer is 7 for d
I need help please each number has its own equation number it off please
How to solve it out?
Step-by-step explanation:
the sum of the interior angles of a polygon (a closed object with n edges) is always (n-2)×180°.
we have here 5 edges, so the sum of all 5 angles is
(5-2)×180 = 3×180 = 540°.
now, let's simply calculate
5x + 2 + 7x - 11 + 13x - 31 + 8x - 19 + 10x - 3 = 540
43x - 62 = 540
43x = 602
x = 14
therefore,
angle S = 13x - 31 = 13×14 - 31 = 182 - 31= 151°
Find the quarter point of y=1/2sin(2x+π)
Answer:
32
Step-by-step explanation:
y = 1/2sin[2(x + π/2)]. Now you can read that the graph is shifted from its standard starting position at (0, 0) left by π/2 and the period ...
Which properly illustrated in the statement (-2)(+5) = (+5)(-2)?
Answer: 7
Step-by-step explanation:
it is trust me.
anyone know this??? please help, help!!! thanks!
Answer:
c. -19
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Given a polynomial in standard form
The leading coefficient is the coefficient of the variable with the largest exponent.
The term with the largest exponent of the variable is
[tex]\frac{1}{4}[/tex] [tex]x^{5}[/tex]
Then the leading coefficient is [tex]\frac{1}{4}[/tex] → A
Please I need a Hand
*How much money was in Caroline's account when it was opened? Explain.
*After 2 years, how much money would Caroline have saved? (Hint - convert years to months before solving). To earn full credit, show your work using a method explained in the Orientation.
Answer:
A) $3100
B) $6700
Step-by-step explanation:
A)The first table entry is the value of the opening balance of Caroline's account.
$3100 was in Caroline's account when it was opened.
__
B)After 1 month, the balance in Caroline's account increased by $3250 -3100 = $150. There are 12 months in a year, so after 2 years, Caroline will have made 12×2 = 24 additional deposits of $150. Her account value will be ...
24 × monthly deposit + initial balance
= 24 × $150 + $3100 = $3600 +3100 = $6700
Caroline would have saved $6700 after 2 years.
The denominator of a fraction is 8 more than its numerator. If 1 is subtracted from the numerator and 3 is added to the denominator, the fraction becomes 1/2. Find the fraction
pleases help as soon as possible..thank you so much
Answer:
The fraction is 13/21.
Step-by-step explanation:
The denominator of a fraction is 8 more than its numerator.
Let x be the numerator: x
So the denominator is: x + 8
[tex]\frac{x}{x + 8}[/tex]
If 1 is subtracted from the numerator and 3 is added to the denominator, the fraction becomes 1/2.
It will become:
[tex]\frac{x - 1}{x + 8 + 3} = \frac{1}{2}[/tex]
[tex]\frac{x - 1}{x + 11} = \frac{1}{2}[/tex]
Now, by using cross multiplication, multiply (x - 1) by 2 and (x+11) by 1.
It will become:
2x - 2 = x + 11
Now transpose and combine the same values. Make sure to change the integer sign. If the integer is positive, change it to negative when you transpose it.
2x - x = 11 + 2
x = 13
So the value of x is 13. Now to check if it is correct. Go back to the equation([tex]\frac{x - 1}{x + 11} = \frac{1}{2}[/tex])
Put the value of x in it.
[tex]\frac{13-1}{13+11} = \frac{1}{2}[/tex]
[tex]\frac{12}{24} = \frac{1}{2}[/tex]
12/24 is equivalent to 1/2 so that is correct.
Now, to find the main fraction. Go back to the original equation which is;
([tex]\frac{x}{x + 8}[/tex])
Put the value of x.
[tex]\frac{13}{8 + 13}[/tex]
= 13/21
Not a verified expert but I put much effort to answer your question. Hope it helps:)
Your friend solved the equation 4x+12x−6=4(4x+7) and got x=34. What error did your friend make? What is the correct solution?
Answer:
=34
Step-by-step explanation:
4x+12x-6=4(4x+7) ur question
using BODMAS
4x+12x-6=16x+28
16x-6=16x+28
16x-16x=28+6
0=34
but make sure your question is right, can you go through it again
PLEASE HELP FAST!!!!!
1. Which number has a real component of 16 and an imaginary component of 10?
A: 16 + 10i
B: 10+ 16i
C: 16 - 10i
D: 10 - 16i
Answer:
A: 16 + 10iStep-by-step explanation:
The numbers are in the form of:
a + bi, where a - real component, b - imaginary componentWhen a = 16, b = 10 the number is:
16 + 10iCorrect choice is A
If a = 7 and b = 2, find the value of
a) a - b
b) 2a + 3b
c) 2ab
d) (a - b)^2
Answer:
(1) 5
(2) 20
(3) 28
(4) 25
Step-by-step explanation:
(1)
Substitute: 7 - 2
Calculate the sum or difference:
Answer: 5
(2)
Substitute: 2 × 7 + 3 × 2
Calculate the product or quotient: 14 + 6
Calculate the sum or difference: 20
Answer: 20
(3)
Substitute: 2 × 7 × 2
Calculate the product or quotient: 28
Answer: 28
(4)
Substitute: (7 - 2) ²
Calculate the sum or difference: 5²
Calculate the power: 25
Answer: 25
Answer:
Step-by-step explanation:
7-2=5
2×7+3×2=20
2×7×2=28
(7-2)^2
7-2=5
5^2=25
please help me with this question!!
Answer:
\(x = 1\)
Step-by-step explanation:
Based on the given conditions, formulate: \(x = 12 \div 12\)
Cross out the common factor:\(x = 1\)
Answer: \(x = 1\)
Tell 3 numbers that are less than 2 and greater than −1.
Answer:
0 and 1 and -2 and -3
Step-by-step explanation:
Find the measure of angle b.
51
39
129
141
Answer:
b = 39
Step-by-step explanation:
To complete the full circle would need 360°
So, the equation is:
b + 28 + 293 = 360
b + 321 = 360
b = 360 - 321
b = 39
Graph the line with the slope of -4 and passing through ( 3, 5 ).
Answer:
See graph below of the line y - 5 = - 4 (x - 3) OR y = -4 x + 17Step-by-step explanation:
We can write the equation for such a line using the point-slope form [(y - y₁) = m (x - x₁)] where m = - 4 & (x₁ , y₁) = ( 3, 5 ). We can then find the x and y-intercept. The line we draw through these three points will be the line we are trying to find.
Equation of the Line
y - 5 = - 4 (x - 3)
Finding x and y-intercepts
y-intercept is 'c' when the line is in the slope-intercept form (y = mx + c)
since y - 5 = - 4 (x - 3)
y - 5 = -4 x + 12
y = -4 x + 17
∴ point of the y-intercept is (0, 17)
x-intercept occurs when y = 0
y = -4 x + 17
0 = -4 x + 17
-17 = -4x
x = ¹⁷/₄
∴ point of the x-intercept is (¹⁷/₄, 0)
Graph the line
We can now plug in the points and draw the line.
See the example below.
Note: You only need two points to graph the line. I just did a third as a check.
WILL MARK BRAINLIEST, PLS INCLUDE SOLUTION
(3+6i)(4-4i) simplify
Answer:
See picture
Step-by-step explanation:
Hope this helps!
Elian, a dishwasher in a restaurant, stacks clean dishes on shelves that can hold up to 12 dishes. Each of these shelves holds 4 stacks of dishes each. How many dishes can he fit onto 6 shelves?
Answer:
i think seventy two......72
6x + 2(5x-6) distributive property
Answer:
16x - 12
Step-by-step explanation:
6x + 2(5x - 6)
then 2 * 5 = 10x
then 2 * (-6) = -12
that will be 10x - 12
then you have 6x + 10x -12
combine the like terms which are 6x and 10x
then 16x - 12
The solution of the equation will be (16x - 12).
What is Distributive property?
By the rule of distributive property, multiplying the sum of two or more addends by a number gives the same result as when each addend is multiplied individually by the number and the products are added together.
The expression is given as;
6x + 2(5x - 6)
Now,
Apply distributive property we can solve the equation as;
6x + 2(5x - 6)
6x + 2 × 5x - 2 × 6
6x + 10x - 12
16x - 12
Thus, The solution of the equation will be (16x - 12).
Learn more about the distributive property visit:
https://brainly.com/question/16374277
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Use angle relationships to complete the top equation. Then, solve for x and find the measure of both angles.