Let roses be R and carnations be C
"in a ratio of 2 to 7" means that the ratio of R to C is 2 to 7, meaning you'll have to cross multiply to translate it algebraically
[tex]R:C\\2:7\\7R=2C\\[/tex]
since C = 343 we plug 343 in [tex]7R=2C[/tex]:
[tex]7R=2(343)\\7R=686\\R=\frac{686}{7} \\R=98[/tex]
ergo, she needs 98 roses
to make sure of the answer:
"ratio of 2 to 7" is technically a fraction => [tex]\frac{2}{7}[/tex]
and since the ratio of the roses to the carnations is the same as [tex]\frac{2}{7}[/tex] we plug the values R = 98 and C=343:
[tex]\frac{R}{C}=\frac{98}{343}=\frac{2}{7}[/tex]
check with calculator too, hope i helped <33
what is 9 3/4 as a percentage
First, turn the fraction into a decimal.
9.75
Second, multiply by 100%.
9.75 * 100% = 975%
Best of Luck!
Find the distance between the points (2,-9) and (-1,4)
Answer:
The answer is
[tex]\sqrt{178} \: \: or \: \: 13.34 \: \: units[/tex]Step-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(2,-9) and (-1,4)
The distance between them is
[tex]d = \sqrt{ ({2 + 1})^{2} + ({ - 9 - 4})^{2} } \\ = \sqrt{ {3}^{2} + ({ - 13})^{2} } \\ = \sqrt{9 + 169} \\ [/tex]We have the final answer as
[tex] \sqrt{178} \: \: or \: \: 13.34 \: \: units[/tex]Hope this helps you
Answer:
[tex]\sqrt{178}[/tex] ≈ 13.3
Step-by-step explanation:
Calculate the distance using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (2, - 9) and (x₂, y₂ ) = (- 1, 4)
d = [tex]\sqrt{(-1-2)^2+(4+9)^2}[/tex]
= [tex]\sqrt{(-3)^2+13^2}[/tex]
= [tex]\sqrt{9+169}[/tex]
= [tex]\sqrt{178}[/tex] ≈ 13.3 ( to 1 dec. place )
Select the correct answer. Which term is a term in this expression? -3x - 7(x+4) OA x + 4 O B. -7 Ос. -3x OD. -3
Answer:
D. -3x
Step-by-step explanation:
Terms have the form k or kx^n, where k is a number, x is a variable, and n is a whole number.
-3x follows the above rule, so -3x is a term.
Answer:
D
Step-by-step explanation:
Hi...
Clare had $110 in her saving. She wanted to buy an MP3 player for $ 118 what is the difference between how much money Clare had and how much she needed
Answer:
$8
Step-by-step explanation:
We want to find the difference between the money Clare has and the money she needs.
Difference means subtract, so we should subtract the amount of money she has from the amount she needs.
money needed - money she has
She has $110 and she needs $118 to purchase the MP3 player.
$118 - $110
Subtract 110 from 118.
$8
The difference between the money Clare has and the money she needs is 8 dollars.
Brad gets an allowance of $16 each week, and his younger sister Samantha gets an allowance of $9 each week. Brad saves one-half of his allowance, and Samantha saves two-thirds of her allowance. Suppose Brad started with $0 savings, and Samantha started with $40. How many weeks will it take until they have the same amount in savings?
Answer:
20 weeks
Step-by-step explanation:
To be able to find the amount of weeks that it will take them to have the same amount, you can say that the amount that Brad saves each week for the number of weeks is equal to the amount that Samantha saves each week for the number of weeks plus the initial amount she has:
(16*1/2)*x=((9*2/3)*x)+40, where
x is the number of weeks
Now, you have to solve for x:
8x=6x+40
8x-6x=40
2x=40
x=40/2
x=20
According to this, the answer is that it will take them 20 weeks to have the same amount in savings.
PLEASE HELP ASAP!!! NEED THEM ALL ANSWERED!!!
① Find the Value of x from the image and then find the indicated side length in each rhombus using the equation below:
✧ x = ▢
✧ AB = 5(24) - 87 = ▢
② Find the Value of x from the image and then find the indicated side length in each rhombus using the equation below:
✧ x = ▢
✧ RS = QR = 3(7) = ▢
③ Finish the statements:
✦ First: angle K + angle N = 180 (This one is complete)
✦ Second: x + 68 + 2x + 4 = 180 (This one is complete)
✦ Third: Combine Like Terms.....
✧ ▢ x + ▢ = 180
✦ Fourth: Subtract 72 from both sides!
✧ 3x = ▢
✦ Fifth: Divide both sides by three!
✧ x = ▢
(I don't need the steps, but feel free to show steps as well as the answers. And yes, the pictures are in order.)
Answer:
1) x = 24
AB = 33
AD = 33
2) x = 7
PS = 21
QR = 21
3) x = 36
K = 104
N = 76
Step-by-step explanation:
1) 5x-87 = x+9
4x = 96
x = 96/4
x = 24
AB = 5(24)-87 = 33
AD = 24 + 9 = 33
2) 4x - 7 = 3x
x = 7
PS = 4(7) - 7 = 21
QR = 3(7) = 21
3) x + 68 + 2x + 4 = 180
x = 36
K = 36 + 68 = 104
N = 2(36) + 4 = 76
Name two lines in the diagram.
Answer: Line BC and Line DE
Step-by-step explanation:
In geometry terms, we can say that for any set of two points, we always can find a line that passes through them.
For example, in the image, we can see two lines (but actually we could make more with those points)
We can see a line that connects points B and C, and we can call that line as:
Line BC
We also can see a line that connects the points D and E, we can call this line as:
Line DE
So the two lines are: Line BC and Line DE
6x - 5 = 2 Times 3x + 4
What’s the answer
And does it have an infinite solutions.
WILL MARK BRAINLIEST
Answer:
no solution
Step-by-step explanation:
u cant multiply when there is an equal
Answer:
6x−5=(2)(3)x+4
Step 1: Simplify both sides of the equation.
6x−5=(2)(3)x+4
6x+−5=6x+4
6x−5=6x+4
Step 2: Subtract 6x from both sides.
6x−5−6x=6x+4−6x
−5=4
Step 3: Add 5 to both sides.
−5+5=4+5
x=9
What is the area of the rhombus
Answer:
[tex]Area \: of \: rhombus = \frac{pq}{2} [/tex]
Where p is diagonal 1 and q is diagonal 2
Step-by-step explanation:
Different formulas to find the area of a rhombus are:
Formulas to Calculate Area of RhombusUsing DiagonalsA = ½ × d1 × d2
Using Base and HeightA = b × h
Using TrigonometryA = b2 × Sin(a)
Area = d1×d2÷2
Help me please I’ll give brainliest PLEASE HELP ASSP
Answer:
fundamental orders of connecticut
Step-by-step explanation:
it would be amazing if you show work please
Answer:
Domain: [tex](-\infty,\infty)[/tex]
Range: [tex](1,\infty)[/tex]
Step-by-step explanation:
The domain of a function is the span of x-values it covers.
The range of a function is the span of y-values it covers.
From the graph, we can see that the domain stretches infinitely in both directions. Therefore, the domain is all real numbers.
In interval notation, this is:
[tex](-\infty,\infty)[/tex]
For the range, note that horizontal line at y=1.
The dotted line tells us that there is a horizontal asymptote there. In other words, y would never reach exactly 1.
Thus, our range would be all values greater than 1 (to positive infinity).
In interval notation, this is:
[tex](1,\infty)[/tex]
And we're done :)
Simplify the following polynomial expression (5x2y-3xy-8)+(7xy+4)
Answer:
5x²y + 4xy - 4
Step-by-step explanation:
Step 1: Write out expression
5x²y - 3xy - 8 + 7xy + 4
Step 2: Combine like terms (xy)
5x²y + 4xy - 8 + 4
Step 3: Combine like terms (constants)
5x²y + 4xy - 4
(-6)(-2x – 4y); x = 1, y = 3
Answer:
First, you have to substitute your x and y.
This looks like
(-6)(-2 - 12) because you multiplied (-2)(1) and (-4)(3)
Then, you have to do what's in the parenthesis because of order of operations.
(-6)(-14)
The answer is 84 I believe.
Divide: (5 + 4i) / (-3 – 2i)
Answer:
-23/13 - 2/13iStep-by-step explanation:
[tex]\frac{5+4i}{-3-2i}\\\\\mathrm{Apply\:complex\:arithmetic\:rule}:\\\\\quad \frac{a+bi}{c+di}\:=\:\frac{\left(c-di\right)\left(a+bi\right)}{\left(c-di\right)\left(c+di\right)}\:=\:\frac{\left(ac+bd\right)+\left(bc-ad\right)i}{c^2+d^2}\\\\a=5,\:b=4,\:c=-3,\:d=-2\\\\=\frac{\left(5\left(-3\right)+4\left(-2\right)\right)+\left(4\left(-3\right)-5\left(-2\right)\right)i}{\left(-3\right)^2+\left(-2\right)^2}\\\\Refine\\=\frac{-23-2i}{13}\\\\[/tex]
[tex]\mathrm{Rewrite\:}\frac{-23-2i}{13}\mathrm{\:in\:standard\:complex\:form:\:}-\frac{23}{13}-\frac{2}{13}i\\[/tex]
25
Is 25 irrational or rational and why
Answer:
The number 25 is a rational number.
It is a whole number which can be written as the fraction 25/1.
I'm sorry if I misunderstood.
Good luck mate! :)
Please add Brainliest if you'd like, not that it matters.
Remember to try your best every day!
Please answer ASAP! Describe how you would graph a figure that is translated by (x - 4, y + 2). I will pick you as brainliest!
Answer:
the answer is 3820
Step-by-step explanation:
first you do 28 +38 which is 393 and then you do 383_jals which is 69, please mark me as brainiest
i’ve been trying to figure out this answer. it’s algebra. at first i got 76 but i’m pretty sure it’s wrong.
Answer:
36
Step-by-step explanation:
● 3[ (4-2)^5 -20]
● 3 ( 2^5 -20 )
● 3 (32-20)
● 3× 12
● 36
can you please help me
Answer:
(5, 6)
Step-by-step explanation:
(5, 6)
x, then y.
one grid space is one up or down.
Good luck mate :)
En un pastel que se quiere repartir a 5 personas, se logran generar 8 piezas al cortarlo, cual de las siguientes expresiones refleja esta acción: ⅕ ⅝ ¾
Answer:
La respuesta es 1/5.
Step-by-step explanation:
porque el 1 pastel se divide en 5 personas.
Espero que esto ayude.
What is greater 16/28 or 28/49
Answer:
They are equal.
Step-by-step explanation:
Step 1: Evaluate 16/28
16/28 = 0.571429...
Step 2: Evaluate 28/49
28/49 = 0.571429...
Step 3: Compare
0.571429... ? 0.571429...
0.571429... = 0.571429...
So 16/28 = 28/49
(5/2)x=5 please help me
Answer:
x=2.5
Step-by-step explanation:
2.5x=5
subtract 2.5 from itself and 5
x=2.5
Find the sum. 5/6 + 4/9
Answer:
The answer is 23/18..
5/6+4/9=23/18.
Answer:
Exact Form:
23/18
Decimal Form:
1.27
Mixed Number Form:
1 5/18
Step-by-step explanation:
What is the value of 3.5 (11) + 1.9 (11) + 1.6 (11)?
Answer:
77
Step-by-step explanation:
3.5(11)+1.9(11)+1.6(11)
3.5(11)=38.5
1.9(11)=20.9
1.6(11)=17.6
38.5+20.9+17.6
77
Given that f(x) = x2 + x and g(x) = 3x + 1, find the value of g(f(-2)).
Answer:
7Step-by-step explanation:
[tex]f(x) = x^2 + x\\g(x) = 3x + 1\\\\g(f(-2)) = ?\\f(-2) =?\\[/tex]
To find f(-2) , Substitute -2 for x in the given equation ;
[tex]f(-2)= (-2)^2 +(-2)\\f(-2) = 4-2\\f(-2) = 2[/tex]
To find g(f(-2)) ;
[tex]g(f(-2))\\f(-2) =2\\\\= g(f(-2)) = g(2)\\[/tex]
To find g(2) , substitute 2 for x in the given equation
[tex]g(x) = 3x+1\\g(2) = 3(2)+1\\\\g(f(-2)) = 6+1\\\\g(f(-2))=7[/tex]
Value of g(f(-2)) is equals to 7.
What is composition function?"Composition function is defined as where two function combined together to create a new function. It is denoted by 'o'."
According to the question,
Given,
f(x) = x² + x
g(x) = 3x + 1
Substitute the value x=-2 in function f(x) we get,
f(-2) = (-2)² +(-2)
= 4 -2
= 2 ______(1)
Again substitute the value of x = f(-2) in g(x) to get composition function,
g(f(-2)) = 3f(-2) +1
Substitute the value f(-2) from (1) we have,
g(f(-2)) = 3(2) + 1
⇒ g(f(-2)) = 7
Hence, value of g(f(-2)) is equals to 7.
Learn more about composition function here
https://brainly.com/question/20379727
#SPJ2
If the measure of an angle is 13º, find the measure of its supplement.
Answer:
167°
Step-by-step explanation:
The supplement of an angle will always be the measure of an angle, when added to the original, will equal 180°.
If we know the measure of 1 of these angles, we can easily find the measure of the other, assuming x is the missing angle measure.
[tex]13+x=180[/tex]
We can subtract 13 from both sides to get the value of x.
[tex]13+x-13=180-13\\\\x=167[/tex]
Hope this helped!
Answer:
167
Step-by-step explanation:
Supplementary angles add to 180
x+13 = 180
Subtract 13 from each side
x = 180-13
x =167
The supplement to 13 is 167
"the sum of a number and 4."
answer?
Answer:
4+x
Step-by-step explanation:
[tex]Let\: the\:unknown\:number\:be \:x\\\\= x +4[/tex]
Answer:
x + 4
Step-by-step explanation:
The sum - '+'
Of a number - 'x'
And four - '4'
The sum of a number and 4 would be 'x + 4'.
Hope this helps.
Given g(x)=3x2+3 find x if g(x)=78 Help me please
Answer:
The answer is 5
Step-by-step explanation:
Given g(x)=3x2+3 find x if g(x)=78 = 5
Hope this helped you :)
Answer:
x = ± 5
Step-by-step explanation:
Given
g(x) = 3x² + 3 and g(x) = 78 , then equate the right sides, that is
3x² + 3 = 78 ( subtract 3 from both sides )
3x² = 75 ( divide both sides by 3 )
x² = 25 ( take the square root of both sides )
x = ± [tex]\sqrt{25}[/tex] = ± 5
That is x = - 5 or x = 5
how to put -7/9 and -4/9 and 1/9 and 1/2 on a number line from least to greatest
Step-by-step explanation:
Take the LCM of the denominators:
=> LCM = 18
=> -7/9 x 2/2 = -14/18
=> -4/9 x 2/2 = -8/18
=> 1/9 x 2/2 = 2/18
=> 1/2 x 9/9 = 9/18
When the number is negative, the greater the number, the smaller it is.
So, -14 is smaller than -8.
< = smaller than
=> -14/18 < -8/18 < 2/18 < 9/18
=> -7/9 < -4/9 < 1/9 < 1/2
Answer:
-7/9, -4/9, 1/9, 1/2
There's no change as this list is already from smallest to largest
==========================================================
Explanation:
We can get each denominator to 18 as this is the LCD (lowest common denominator)
-7/9 = -14/18 ... multiply top and bottom by 2
-4/9 = -8/18 ... multiply top and bottom by 2
1/9 = 2/18 ... multiply top and bottom by 2
1/2 = 9/18 ... multiply top and bottom by 9
We now have to sort this list {-14/18, -8/18, 2/18, 9/18}
Which is the same as sorting {-14, -8, 2, 9} since we can focus solely on the numerators. This only applies when the denominators are the same.
The list {-14, -8, 2, 9} is already sorted from smallest to largest. Think of a number line. We would have -14 as the left most value, then -8 is next, followed by 2 and then 9.
So the original list of fractions {-7/9, -4/9, 1/9, 1/2} is already sorted from smallest to largest.
--------------
An alternative is to use your calculator to see that
-7/9 = -0.78 approximately
-4/9 = -0.44 approximately
1/9 = 0.11 approximately
1/2 = 0.50
The order from least to greatest is
-0.78, -0.44, 0.11, 0.50
The -0.78 is smaller than -0.44 since its further away from 0
So the order would be
-7/9, -4/9, 1/9, 1/2
and there's no change from the original order your teacher gave you.
b mi
a mi
a. Perimeter:
b. Area:
What is the perimeter and the area?
Is it true that ƒ −(g − h) = (ƒ − g) − h? Explain why you believe the equation is true or provide a counterexample to show that it is not.
Answer:
The expression is false
Step-by-step explanation:
Given
[tex]f - (g - h) = (f - g) - h[/tex]
Required
True or False
To determine if the expression is true or false, we need to simplify both sides of the equation
[tex]f - (g - h) = (f - g) - h[/tex]
Start by opening the bracket on the right hand side
[tex]f - (g - h) = f - g - h[/tex]
Then open the bracket on the left
[tex]f - g + h = f - g - h[/tex]
Subtract f - g from both sides
[tex]f - g - (f - g) + h = f - g - (f - g) + h[/tex]
[tex]f - g - f + g + h = f - g - f + g - h[/tex]
[tex]f - f - g + g + h = f - f - g + g - h[/tex]
[tex]h \neq -h[/tex]
Hence;
The statement is false
To further check;
Assume f = 5; g = 4 and h = 3
[tex]f - (g - h) = (f - g) - h[/tex] becomes
[tex]5 - (4 - 3) = (5 - 4) - 3[/tex]
[tex]5 - 4 + 3 = 5 - 4 - 3[/tex]
[tex]2 \neq -2[/tex]