Answer:
The equation that can be used to represent the proportional relationship between the amount of blue yarn, b, and red yarn, r, that Colleen uses when knitting a scarf is:
b = 2.5 ror
b = 5r/2Step-by-step explanation:
In the exercise are given the variables that we must use in the equation: b and r, where b is the amount of blue yarn and r is the amount of the red yarn, now it's just missing the proportion that must be used in the equation, to identify this you only must divide the biggest amount (45) by the smallest amount (18), how I show below:
Proportion = 45/18 = 2.5 or 5/2Having this, you can make the equation taking into account the proportion:
b = 2.5 rThis equation marks that by each piece of blue yarn, are needed 2.5 pieces of red yarn, we can prove the equation replacing the r-value by 18:
b = 2.5 r b = 2.5 (18) b = 45How you can see, replacing the r-value by 18, the value given for red yarn, we obtain the value given for the blue yarn: 45.
Answer:
b = 2.5 r
or
b = 5r/2
Please answer the question stated below
Answer:
$252
Step-by-step explanation:
We need to find 30 percent of 400 dollars. Thirty percent can be written as 30/100, or 0.3.
Multiply 400 by 0.3, and we get $120. Since $120 is 30% of 400, we subtract 400 by 120. This gives us $280.
$280 is now the sale price. We need to find 10% of 280. Multiply 280 by 0.1, which gives us $28. This amount is taken off of the sale price, so we need to subtract 28 from 280.
280-28 is $252. This is the final price she will pay.
84 is 30% of what number?
2.8
25.2
280
2520
Answer:
280
Step-by-step explanation:
30%=30/100=0.3
Let's call the mystery number x.
84=0.3x
84/0.3=0.3x/0.3
x=84/0.3=280
Hope this helps!
Determine whether the two triangles can be proven congruent using the AAS congruence method. If they can, select the congruence statement. answers: A) ΔABC ≅ ΔEDC B) ΔCBA ≅ ΔCED C) The triangles aren't congruent using AAS. D) ΔCAB ≅ ΔEDC
Answer:
A) ΔABC ≅ ΔEDC
Step-by-step explanation:
To prove triangles congruent with the AAS method, you need two angles and the non-included side of one triangle to be congruent to the corresponding parts of another triangle.
Let's see what we have in these two triangles.
Side AB is congruent to side ED. This is one pair of sides.
Angle A is congruent to angle E. This is one pair of sides.
Now we need a second pair of angles, that will make the two sides not-included in the angles.
By the congruence of vertical angles, we see that angles ACB and ECD are congruent. This is another pair of congruent angles.
We have two angles and a non-included side of one triangle congruent to two angles and a non-included side of another triangle. The triangles are congruent by AAS.
Answer: A) ΔABC ≅ ΔEDC
Amelia had 28 seashells. Then, she collected 11 more seashells. After that, she gave S seashells to her little sister. Which of the following shows how many seashells she has currently?
Answer:
39 - s
Step-by-step explanation:
she has 28 she finds 11 more (28+11) and she gives s amount away (28+11-s) simplify 39 - s
Can someone please help me on these two questions?
Answer:
Arc = angle/360° x 2πr
13) = 72/360 x 2π x 25
= 1/5 x 2π x 25 = 10π
14) 270/360 x 2π x 2
= 3/4 x 4π = 3π
Can someone please tell me how to find the value of x.
Answer:
2.547 = x
Step-by-step explanation:
tan 23 = x/6 Use this equation to find the value of x
0.4245 = x/6 Multiply both sides by 6
2.547 = x
Which multiplication equation can be used to solve
1/6 divided by 5
Answer: 1/6x1/5
You have to remember the method keep, change, flip. keep 1/6 change the division sign to the multiplication sign and flip the 5 to 1/5.
Hope this helps <3
-Carrie
Be sure to mark brainliest
:)
i really need an answer fast
x=-7
We can write them both like functions like this
A= 5x -4
B= 3x +8
Where
x=input
A=Output A
B=Output B
We want the output of A 3 times the output of B this can be written like this:
A= 3b
we replace with the functions
5x-4 = 3(3x+8)
solve for x and you get -7
A rectangle has a length 2x+1 and width x+3.
Write an expression that shows the area of
the rectangle. Be sure to simplify your
ansver.
Answer:
3x + 3
Step-by-step explanation:
to find the area we do length times width so to find the area of this rectangle we do 2x + 1 * x + 3
for this equation we have an order of operations problem we have to multiply 1 * x first so the answer becomes 3x + 3 because after the order of operstions the equation becomes 2x + 1x + 3
we then combine like terms / the x's
2x + 1x = 3x
then add 3
3x + 3
using the method of completing the square to solve the quadratic equation ::
x^2-20x+24=0
which number would have to be added to "complete the square"?
Answer:
100 should be added to 'complete the squre'
Step-by-step explanation:
[tex] {x}^{2} - 20x + 24 = 0 \\ ( {x}^{2} + 2 \times 10 \times x + {10}^{2}) - {10}^{2} + 64 = 0 \\ {(x - 10)}^{2} - 100 + 64 = 0 \\ {( x - 10)}^{2} - 36 = 0 \\ {(x - 10)}^{2} = 36 \\ (x - 10) = \pm 6 \\ x = 10 \pm 6 \\ x = 10 + 6 \: \: or \: \: x = 10 - 6 \\ x = 16 \: \: or \: \: x = 4[/tex]
If two lemons cost 15 cents, how many can be bought for 60 cents?
Answer:
60 lemons/ 15 cents=4 lemons so
4 lemons can be bought for 60 cents
2 - (7/8 - 3/4) /'s are fractions
Answer:
[tex]1\frac{7}{8}[/tex] or [tex]\frac{15}{8}[/tex]
Step-by-step explanation:
[tex]2-(\frac{7}{8} -\frac{3}{4} )=\\\\2-(\frac{7}{8} -\frac{6}{8}) =\\\\2-\frac{1}{8} =\\\\1\frac{7}{8} =\\\\\frac{15}{8}[/tex]
Answer:
Brainliest here!
Step-by-step explanation:
2- (7/8 -6/8) = 2-1/8
simplify = 1 7/8 or 15/8
Choose the graph below that has an undefined slope. (5 points) vertical line through the point negative 6 comma 0 line through the points negative 1 comma 1 and 0 comma negative 4 horizontal line through the point 0 comma negative 6 line through the points negative 2 comma negative 3 and 0 comma 6
Answer:
vertical line through the point (-6,0)
Step-by-step explanation:
Vertical lines have an undefined slope.
PLZ HELP :(
Use the distributive property to write the expression without parentheses. Then simplify the result, if possible.
1/3(6x+17)+ 1/3
Answer:
2x+6
Step-by-step explanation:
Please help me with this
Answer:
a) -2 -< x-< 2
b) -1 < x and < 2
Step-by-step explanation:
We use -< as the numbers are included in the solution being -2 and 2
We use < as the numbers are less than -1 and 2
You know the difference i just couldn't copy and paste the inequalities for a).
They face the same way I have shown.
If the line on the number line were not central to 2 numbers and separate then they would face the opposite way and show two inequalities and we refer to that as or, but both of these mean and. they mean and as the line joins them together on each number line, the only difference is an open circle means the numbers are not inclusive so we dont enhance the arrow for non inclusive, when a) is inclusive we put a line underneath the arrow and still face them the left side as x shows the relationship of being inclusive still the same. a) has a line under the arrow i just couldn't show and hope you see the difference as we only use two types of arrows.
In the derivation of the quadratic formula by completing the square, the equation
- 4ac + b 2
4a?
is created by forming a
perfect square trinomial.
What is the result of applying the square root property of equality to this equation?
Answer:
2nd option is the correct answer.
Step-by-step explanation:
[tex] \because \bigg(x + \frac{b}{2a}\bigg) ^2 = \frac{-4ac+b^2}{4a^2}\\\\
\therefore \bigg(x + \frac{b}{2a}\bigg) ^2 = \frac{b^2-4ac}{4a^2}\\\\
\therefore \bigg(x + \frac{b}{2a}\bigg) = \pm \sqrt {\frac{b^2-4ac}{4a^2}} \\\\
\purple {\boxed {\bold {\therefore x + \frac{b}{2a}= \frac{\pm\sqrt{b^2-4ac}}{2a}}}} \\\\[/tex]
Answer:
B
Step-by-step explanation:
(ASAP) Work out the equation of the line passing through (2,-3) and parallel to the line y=3x+4
Answer:
y = 3x - 9
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x + 4 ← is in slope- intercept form
with slope m = 3
Parallel lines have equal slopes, thus
y = 3x + c ← is the partial equation
To find c substitute (2, - 3) into the partial equation
- 3 = 6 + c ⇒ c = - 3 - 6 = - 9
y = 3x - 9 ← equation of parallel line
An oil company fills 1 over 12 of a tank in 1 over 3 hour. At this rate, which expression can be used to determine how long will it take for the tank to fill completely? (5 points)
1 over 12 ⋅ 3 hours
1 over 3 ⋅ 12 hours
1 over 3 ⋅ 1 over 12 hours
3 ⋅ 12 hours
HELP ASAP U WILL GET BRAINLIEST
1.20 x 10⁶
6.0 x 10⁵
Answer:
[tex]1.20 x 10^{6}=1,200,000\\\\6.0 x 10^{5}=600,000[/tex]
Step-by-step explanation:
You move the decimal place over 6 times for the first equation and 5 for the second equation.
Hope this helps! Have a great day! :)
Help pure people only
Answer:
Mini golf costs $10 per round and batting cages cost $2.5 each turn.
Step-by-step explanation:
mini golf ([tex]m[/tex])
batting caves ([tex]b[/tex])
Sylvester:
[tex]5m+4b=60[/tex]
Lin
[tex]3m+6b=45[/tex]
System of equations:
[tex]$\left \{ {{5m+4b=60} \atop {3m+6b=45}} \right. $[/tex]
[tex]$\left \{ {{5m(-3)+4b(-3)=60(-3)} \atop {3m(5)+6b(5)=45(5)}} \right. $[/tex]
[tex]$\left \{ {{-15m-12b=-180} \atop {15m+30b=225}} \right. $[/tex]
[tex]18b=45[/tex]
[tex]b=2.5[/tex]
Now let's find [tex]m[/tex]
[tex]3m+6(2.5)=45\\3m+15=45\\3m=30\\m=10[/tex]
Ms. Wolfram's compost bin used for her garden is shaped like a rectangular prism. The bin is 4 inches long, 18 inches wide, and 9 inches tall. Ms. Wolfram has to fill 20% of the bin with brown material, like leaves, and 30% of the bin with green material, like vegetable scraps. What are the volumes of greens and
browns Ms. Wolfram needs to put in the bin? Please state how you got your answer
Green Material:
Brown material:
Ms. Wolfram should ask her husband Stephen, who's an incredible mathematician and computer scientist who's given the world a great gift in the website Wolfram Alpha which can answer all your math questions and more.
Anyway the volume of the bin is length times width times height,
V = 4 × 18 × 9 = 648 cubic inches
So the volume of brown is 20 % of that
B = 20% of V = .2 × 648 = 129.6 cubic inches
The volume of green is 30%,
G = 30% of V = .3 × 648 = 194.4 cubic inches
Answer: Green 194.4 cubic inches, Brown 129.6 cubic inches
6. Given the function f(x) = –5x + 2, find the range of f(x) for x = –1, 0, 1.
options:
A. –7, –2, 3
B. 7, 2, 3
C. –7, –2, –3
D. 7, 2, –3
Answer:
it is D = 7, 2, -3
Step-by-step explanation:
step 1
-5 x -1 + 2 = 7
step 2
-5 x 0 + 2 = 2
step 3
-5 x 1 + 2 = -3
hope this help's
Answer: D = 7, 2, -3
Step-by-step explanation:
A polynomial function has -5+√3t as a root. Which of the following must also be a root of the function? a) -5-√3t b) -5+√3t c) 5-√3t d) 5+√3t
Answer:
a
Step-by-step explanation:
Radical roots occur as conjugate pairs
Given - 5 + [tex]\sqrt{3}[/tex] t is a root , then
- 5 - [tex]\sqrt{3}[/tex] t is also a root → a
Timmy likes to eat his fruit snacks in pairs, with different flavors in each pair.
The fruit snacks come in Cherry, Grape, Lemon, and Orange. Which list shows
all possible combinations of two different fruit-snack flavors?
A. CL, CO, GL, GO, LC, LO, OG, OL
B. CC, CG, CL, CO, GG, GL, GO, LL, LO, OO
C. CL, CG, CO, GL, GO, LO
D. CL, GL, LO, OC
Answer: C
Step-by-step explanation: By going in order we can combine Cherry with Grape, Lemon and Orange. This creates 3 different flavors that are not the same flavor. We can move on to Grape, and combine it with Lemon and Orange since we have already combined it with Cherry. Finally, we can combine Lemon with Orange since it has already been combined with Grape and Cherry. Now, all possible combinations of flavors are shown.
OR
Create a list of each flavor combination per flavor, then rule out any repeats so only one remains.
Cherry: CL, CG, CO
Lemon: CL, GL, OL,
Grape: GC, GL, GO
Orange: CO, GO, LO
CL, CG, CO, GL, GO, LO
The point-slope form of the equation of the line that passes through (-9, -2) and (1, 3) is y– 3 = {(x - 1). What is the
slope-intercept form of the equation for this line?
Answer:
[tex]y=\dfrac{1}{2}x+\dfrac{5}{2}[/tex].
Step-by-step explanation:
If a line passing through two points, then the equation of line is
[tex](y-y_1)=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
It is given that the passing through (1,3) and (-9,-2). So, equation of line in point slope form is
[tex]\Rightarrow (y-3)=\dfrac{-2-3}{-9-1}(x-1)[/tex]
[tex]\Rightarrow (y-3)=\dfrac{1}{2}(x-1)[/tex]
Slope intercept form of a line is
[tex]y=mx+b[/tex]
where, m is slope and b is y-intercept.
Now,
[tex](y-3)=\dfrac{1}{2}(x-1)[/tex]
[tex]\Rightarrow (y-3)=\dfrac{1}{2}(x}-\dfrac{1}{2}(1)[/tex]
[tex]\Rightarrow y=\dfrac{1}{2}(x}-\dfrac{1}{2}+3[/tex]
[tex]\Rightarrow y=\dfrac{1}{2}x+\dfrac{5}{2}[/tex]
Therefore, the required equation is [tex]y=\dfrac{1}{2}x+\dfrac{5}{2}[/tex].
Answer:
The Answer is C
Step-by-step explanation:
i think This is correct
A gym charges $45 per month and a $75 one-time starting fee. Which of these
will show how much it costs to join the gym for one year?
Answer:
y=45x+75
Step-by-step explanation:
The x represents the months and the one time fee is added
Given that AABC= ADEF, which of the following must be true?
Answer:
it's b because b and e are in the same place
Please look at the image below. I NEED TO ANSWER THIS NOW!!
Answer:
Tbh i dont knw mahn .... i m poor and i need points to ask questions thats y m here
Step-by-step explanation:
The diagram shows a circle inscribed in a square.
12 m
12 m
What is the area of the shaded part of the diagram? (Use 3.14 as an estimate for 1.)
Answer:
A
Step-by-step explanation:
first lets find the area of the square
A=l*w
12*12=144 m^2
then lets find the are of the circle
A=pi*r^2
A=3.14*(d/2)^2
the diameter of the circle is 12m
A=3.14*(12/2)^2
A=3.14*(6)^2
A=3.14*36
A=113.04 m^2
Now, lets subtract the area of the circle form the area of the square
144-113.04= 30.96 m^2
So, the answer is A
Subtract the polynomials. (3x2+10x+5y)−(−5x2+2x−6y)
Answer:
[tex]=8x^2+8x+11y[/tex]
Step-by-step explanation:
[tex]\left(3x^2+10x+5y\right)-\left(-5x^2+2x-6y\right)\\\mathrm{Remove\:parentheses}:\quad \left(a\right)=a\\=3x^2+10x+5y-\left(-5x^2+2x-6y\right)\\=3x^2+10x+5y+5x^2-2x+6y\\=3x^2+5x^2+10x-2x+5y+6y\\\mathrm{Add\:similar\:elements:}\:3x^2+5x^2=8x^2\\=8x^2+10x-2x+5y+6y\\\mathrm{Add\:similar\:elements:}\:10x-2x=8x\\=8x^2+8x+5y+6y\\\mathrm{Add\:similar\:elements:}\:5y+6y=11y\\=8x^2+8x+11y\\[/tex]
