Answer:
[tex]2y + (4x + 7) + (2x + 19) \\ = 2y + (4x + 2x) + (19 + 7) \\ = 2y + 6x + 26 \\ = 2(y + 3x + 13)[/tex]
Enny is selling candles for $3 each at a fund-raiser. If she starts selling with $4 to help her make change, how many candles, x, will she have to sell to end up with $19?
Answer:
5 candles
Step-by-step explanation:
Enny is selling candles for $3 at a fund raiser
She starts selling $4 to help her make change
Therefore the number of candles x that will be sold to get $19 can be calculated as follows
3x + 4= 19
3x = 19-4
3x= 15
x = 15/3
x= 5
Hence 5 candles must be sold to get $19
Andrea had $43.50 to spend on groceries. After buying 4 boxes of cereal, she had $27.70 left. If each box of cereal costs the same amount, what is the price of one box of cereal?
Answer:
$3.95
Step-by-step explanation:
43.50-27.70=15.80
15.80÷4=3.95
Principal, 2000$; Annual interest rate, 5.5%; time, 4 years
Answer:
$440
Step-by-step explanation:
Interest=Principal × Rate × Time/100(Formula)
We have to find the Interest.
Interest = $2000× 5.5 × 4/100
100 Interest = 44000
Interest = 44000/100
Interest = $440(Answer)
simple interest
formula = PRT/100
P = 2000$
rate = 5.5%
time = 4 years
= 2000 x 5.5 x 4 / 100
= 440$
amount = S.I. + P
= 2000 + 440
= 2440
compound interest
formula for amount = P( 1 + r/100 )^n
= 2000( 1 + 5.5/100 )^4
= 2000 (100/100 + 5.5/100)^4
= 2000 ( 105.5/100 )^4
2000 x 105.5/100 x 105.5/100 x 105.5/100 x 105.5/100
= 2 x 105.5 x 105.5/10 x 105.5/100 x 105.5/100
= 211 x 105.5/10 x 105.5/100 x 105.5/100
= 2215.5 x 105.5/100 x 105.5/100
= 2,454.22
compound interest = A - P
= 2454.22 - 2000
= 454.22
6. Solve the problem.
How close must a fireman place a 40-foot ladder to reach a cat stuck atop a 24-foot tree? (Find the distance from the base of the ladder to the tree.)
0 32 ft
0 16 f
64 ft
46.65 ft
Answer: 32
Step-by-step explanation:
we have in this case right triangle with a leg equal to 24 and a hypotenuse equal to 40
c^2=a^2+b^2
40^2=24^2+b^2
b^2=1600-576=1024
b=sqrt1024=32
Can someone help me please and thank you
Answer:
C right on A P E X
Step-by-step explanation:
I checked it and it’s right hope this helps!
Answer:
The answer is B.30
Step-by-step explanation:
sorry if i get this wrong, and was it multiple choice by any chance cuz it kinda looks like it. But i'll still go with B.
i need help with this?
Answer:
y = 3( [tex]0.5^{x}[/tex] )
Step-by-step explanation:
Exponential function has the form f(x) = k [tex]b^{x}[/tex] where b > 0 and b ≠ 1
~~~~~~
3 = k × [tex]b^{0}[/tex] ⇒ k = 3
1.5 = 3( [tex]b^{1}[/tex] ) ⇒ b = 0.5
Thus, y = 3( [tex]0.5^{x}[/tex] )
will mark branliest if correct:)
Answer:
If im not mistaking its b
Step-by-step explanation:
you gotta divide the nubers inside the box thing with then numbers outside it then multiply
Some simplify this plz 12x + 1.5x - 2-7
Answer:
13.5x + 5
Step-by-step explanation:
12x + 1.5x - 2 - 7 (you always want to work left to right)
13.5x - (2 - 7) (you are free to use the associative property here to isolate like terms)
13.5x - (-5) (remember a number less in value subtracted from a higher value will result in a negative value; giving you this value for instance.)
13.5x + 5 (now since it was basically subtracting a negative from 13.5x you can technically say the same thing by turning the negative value to a positive however you must do the opposite of subtraction as well.)
There are 5 roses in a vase of 11 flowers,the rest are daisies
what is the ratio of roses to daisies
3n+2 What is the value of the 3rd term?
Answer:
11.
Step-by-step explanation:
Plug n = 3 into the expression:
3(3) + 2 = 11.
3. Melissa is making a piece for a stained glass window that has the shape and measures shown below. Point Cis the center of the partial circle that forms one corner of the stained glass piece. 6 in C 1 1 10 in. 1 11 12 in which area is the closest to the area of the stained glass piece in square inches? Use 3.14 form.
Answer:
184.26 i dont exacaly know but i think it is just let me know if im right or wrong
Step-by-step explanation:
what is 7(x+5) in distributive property
Answer:
7x+35
Step-by-step explanation:
7(x+5)
Distribute
7*x + 7*5
7x+35
Final Answer: [tex]7x + 35[/tex]
Steps/Reasons/Explanation:
Question: What is [tex]7(x + 5)[/tex] in distributive property?
Step 1: Expand by distributing terms.
[tex]7x + 7[/tex] × [tex]5[/tex]
Step 2: Simplify [tex]7[/tex] × [tex]5[/tex] to [tex]35[/tex].
[tex]7x + 35[/tex]
~I hope I helped you :)~
30% in simplest form
Answer:
I think it's 3/10
Step-by-step explanation:
ANSWER PLEASE!!!
name the property of real numbers illustrated by the equation. -2(x+4) = -2x - 8
Answer:
distributive property
Step-by-step explanation:
What is the solution and graph for the following inequality?
5x + 2 > -48
Answer:
x > -10
Step-by-step explanation:
First subtract the 2 from both sides. This gets you to 5x > -50. Last, you divide both sides by 5 and get an answer of x > -10.
I need to solve the equation 6n + 21 = - 3 - 2n
Answer:
n= -3
Step-by-step explanation:
First, your're going to subtract from both sides
6n + 21 - 2 1= -3 - 2n - 21
Then simplify
6n = -2n - 24
Then add 2n on both sides
6n + 2n = -2n -24 + 2n
Simplify again
8n = -24
Then divide both sides by 8
8n/8 = -24/8
Then simplify and this is your answer
n= -3
someone pls answer my recent maths question ;-;
Is x^2 + 5x -3x^-2 polynomial
Use the expression to complete the statements.
(0.5)10
(0.5)10 is the _____.
A. base
B. exponent
C. power
(0.5) is the ______ of (0.5)10.
A. base
B. exponent
C. power
10 is the ______ of (0.5)10.
A. base
B. exponent
C. power
A power is another way to write _________.
A. repeated addition
B. repeated division
C. repeated multiplication
D. repeated subtraction
Answer:
B
A
A
C
Step-by-step explanation:
I know the third answer is correct but the first two were a bit confusing for me do you have anymore context?? like is it supposed to be (0.5)^10
because then 10 would be the power and 0.5 is the exponent.
Answer:
C A B C
Step-by-step explanation:
dave says:
the only quadrilateral with two lines of symmetry is a rectangle
is dave correct
explain your answer
There are 2 symmetry lines of a rectangle which are from its length and breadth. These two lines cut the rectangle in two similar halves which are mirror images of each other. If a rectangle is folded along its line of symmetry, it superimposes perfectly.
can someone please help? the question is an equilateral triangle is sometimes/always/never similar to a scalene triangle, because we can sometimes/always/never map one onto the other using only dial actions rigid transformations.
Answer:
An equilateral triangle is never similar to a scalene triangle, because we can never map one onto the other using only dilations and rigid transformations.
======================================================
Explanation:
An equilateral triangle is one where it has all three sides the same length. "Equi" means "equal" while "lateral" means "side". Any equilateral triangle also has all three angles the same measure (we consider it equiangular). Each angle is 60 degrees.
In contrast, a scalene triangle has all of its sides different, so consequently that means all of its three angles must be different as well. If you had exactly two angles congruent to one another, then the opposite sides would be a congruent pair of sides, but then that leads to an isosceles triangle. Also, if all three angles were the same, then we'd get back to an equilateral triangle. So in short, any scalene triangle has all of its angles different.
------------------
Let's consider two cases
Case 1) The scalene triangle has one angle that is 60 degrees, while the other two angles are not 60 degrees.Case 2) The scalene triangle doesn't have any angles that are 60 degrees.If case 1 happens, then we could match up one pair of 60 degree corresponding angles between the equilateral triangle and the scalene triangle. However, we won't have any more matches. This is because the other two angles aren't 60 (if they were then the triangle isn't scalene). Therefore case 1 leads to dissimilar triangles.
If case 2 happens, then we get the same conclusion as case 1. This time we don't have any angles matching up. Similar triangles must have corresponding angles match up and be congruent. Put another way: similar triangles are the same shape but not necessarily the same size.
------------------
After completing both cases, we can see that it is impossible to have an equilateral triangle be similar to a scalene triangle. In terms of transformations, we cannot apply any of the following
TranslationReflectionRotationDilationand have one triangle turn into the other. Again, it's all because the angles do not match up. We may have one matching pair, but we need all three pairs to match.
(20,-8); 7x - 4y = -5
The question is incomplete.
However, from the given parameters, a likely question could be to:
1. Write an equation in slope intercept form through (20,-8) and is parallel to 7x - 4y = -5
or
2. Write an equation in slope intercept form through (20,-8) and is perpendicular to 7x - 4y = -5
Answer:
See Explanation
Step-by-step explanation:
First, we calculate the slope of [tex]7x - 4y = -5[/tex]
[tex]7x - 4y = -5[/tex]
Subtract 7x from both sides
[tex]7x-7x - 4y = -5-7x[/tex]
[tex]- 4y = -5-7x[/tex]
Make y the subject
[tex]\frac{- 4y}{-4} = \frac{-5-7x}{-4}[/tex]
[tex]y = \frac{-5-7x}{-4}[/tex]
[tex]y = \frac{5+7x}{4}[/tex]
[tex]y = \frac{5}{4}+\frac{7}{4}x[/tex]
[tex]y = \frac{7}{4}x+\frac{5}{4}[/tex]
The general format of an equation is:
[tex]y= mx + b[/tex]
Where
[tex]m = slope[/tex]
By comparison:
[tex]m = \frac{7}{4}[/tex]
Solving (1): Parallel
Here, we assume that the line is parallel to the given equation.
And as such, it means that they have the same slope
So, we have:
[tex](x_1,y_1) = (20,-8)[/tex]
and
[tex]m = \frac{7}{4}[/tex]
The equation is then calculated as:
[tex]y - y_1 = m(x - x_1)[/tex]
This gives:
[tex]y - (-8) = \frac{7}{4}(x - 20)[/tex]
[tex]y +8 = \frac{7}{4}(x - 20)[/tex]
Open bracket
[tex]y +8 = \frac{7}{4}x - \frac{7}{4}*20[/tex]
[tex]y +8 = \frac{7}{4}x - 7*5[/tex]
[tex]y +8 = \frac{7}{4}x - 35[/tex]
Make y the subject
[tex]y = \frac{7}{4}x - 35-8[/tex]
[tex]y = \frac{7}{4}x -43[/tex]
Solving (2): Perpendicular
Here, we assume that the line is perpendicular to the given equation.
And as such, it means that the following relationship exists between their slope:
[tex]m_2 = -\frac{1}{m_1}[/tex]
Where
[tex]m_1 =m =\frac{7}{4}[/tex] -- as calculated above
Substitute 7/4 for m1 in [tex]m_2 = -\frac{1}{m_1}[/tex]
[tex]m_2 = -\frac{1}{7/4}[/tex]
[tex]m_2 = -\frac{4}{7}[/tex]
So, we have:
[tex](x_1,y_1) = (20,-8)[/tex]
and
[tex]m_2 = -\frac{4}{7}[/tex]
The equation is then calculated as:
[tex]y - y_1 = m(x - x_1)[/tex]
This gives:
[tex]y - (-8) = -\frac{4}{7}(x - 20)[/tex]
[tex]y +8 = -\frac{4}{7}(x - 20)[/tex]
Open bracket
[tex]y +8 = -\frac{4}{7}x + \frac{4}{7}*20[/tex]
[tex]y +8 = -\frac{4}{7}x + \frac{80}{7}[/tex]
Make y the subject
[tex]y = -\frac{4}{7}x + \frac{80}{7}-8[/tex]
[tex]y = -\frac{4}{7}x + \frac{80-56}{7}[/tex]
[tex]y = -\frac{4}{7}x + \frac{24}{7}[/tex]
Take LCM
[tex]y = \frac{-4x + 24}{7}[/tex]
20 Pour chacune des fonctions affines suivantes,
déterminer le coefficient directeur de leur
représentation graphique et en déduire le sens
de variation de la fonction.
1. f(x) = -2x + 1 2. g(x)=3-x
xſ-1
3. h(x) = 2 +
2
4.1(x) =
3
3
Answer:
2x+14-562-3838(789):
For the solution to the inequality in the previous problem, list all integers from -10 through 10 that will make the
inequality a true statement when substituted for "t"? (The integers for -10 through 10 are shown below.)
{-10,-9,-8, -7, -6, -5, -4,-3,-2,-1,0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
ILL MARK BRAINLIEST IF IT WORKS!!
30 points! HURRY PLEASE
Answer:
we have the same question but I have know clue what the answer is
Read the excerpt from Heart of a Samurai.
Goemon jumped up. “Agreed,” he said, jamming his “knife” into his sash and slashing at Manjiro’s “sword.” Their imaginary swords clashed and clattered as they lunged or leaped aside to avoid being hit.
Which words contribute most to the excerpt’s pace?
A. “imaginary” and “aside”
B. “sash” and “swords”
C. “slashing” and “lunged”
D. “Goeman” and “Manjiro”
Answer:
The anwsear is B, slashing and lunged :)
Have a great day!
Answer:
C. “slashing” and “lunged”
Step-by-step explanation:
There are 12 grams of sugar in 1⁄3 of a piece of candy. How much sugar is in 3⁄4 of a piece of candy?
Answer:
27 grams of sugar
Step-by-step explanation:
If 1/3 candy contains 12 grams of sugar
Then 3/4 candy contains C grams of sugar
C= 3/4 * 12grams➗1/3=3*12*3grams➗4=108grams➗4=27 grams of sugar
please help me will mark you brainliest
which decimal is greater 7.512 or 7.396
Answer:
7.512
Step-by-step explanation:
because 7.5 is greater than 7.3
If 5 pipes of similar size can fill a tank in 1 hour with water.Find the time required to fill the tank by 10 pipes ?
More pipes less time.
5 pipes means 1h ergo 10 pipes means half, that is 30min.
Hope this helps.
Answer:
It will take 30 minutes to fill the tank with 10 pipes.
Step-by-step explanation:
5 x 2 = 10
It will be half the time because 5 is half of 10
30 minutes.
I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!
-14 + b = -20
b=? ...