Answer:
4 5/6 feet.
Step-by-step explanation:
The least common multiple for 2 and 3 is 6, so if we change the denominators to 6, we get Chrystelle's height as 3 3/6, and her mother is 1 4/6 ft taller than her.
3 3/6 + 1 4/6= ?
(Written as an Improper fraction)
21/6 + 10/6 = 31/6
31/6 = 4 5/6.
I hope this helps!
Answer:
first make it so the denominator is the same on bothers sides. a common denominator for both is 6 so
Chrystelle mom: 1 2/3 taller. multiply the fraction by 2/2 so 1 4/6
chrystelle: 3 1/2 feet tall. multiply the fraction by 3/3 so 3 3/6
now just add to figure out so
3 3/6 + 1 4/6 = 4 7/6 which simplifies down to 5 1/6
so chrystelles mom is 5 1/6 feet tall
Write an equation in slope-intercept form for the line with slope 7 and y-intercept -8.
Help pleaseeee
Answer:
y=7x-8
Step-by-step explanation:
y=mx+b........slope-intercept form
where m=slope,b=y-intercept
y=7x-8
Katie and Sunnie both have 20-gallon fish tanks that are leaking water! After 15 minutes, Katie's tank has leaked 43 gallon. After 20 minutes, Sunnie's tank has leaked 34 gallon. Which tank is leaking faster?
Answer:
Katie's gallon
Step-by-step explanation:
Katie and Sunnie both have 20-gallon fish tanks that are leaking water!
For Katie
After 15 minutes, Katie's tank has leaked 4/3 gallon.
The rate of leakage =
4/3 gallon × 15 minutes
= 16
For sunny
After 20 minutes, Sunnie's tank has leaked 3/4 gallon.
Her rate is given as:
= 3/4 gallon × 20 minutes
= 15
Therefore,
The tank that is leaking faster is Katie's gallon
which is a prime number 18 15 19 or 22
Answer:
19
Step-by-step explanation:
the only way u can get 19 is if you multiply 19x1 but other than that you cant get the number
the other numbers have more than one multiple but 19 only has one multiple
Answer:
19
Step-by-step explanation:
the only factors multiplyed that can make 19 is 1 and 19
15:1, 3, 5, 15
18:1, 2, 3, 6, 9, 18
22:1, 2, 11, 22
19:1, 19
take care
Part A
Recall the function V that you wrote in Question 1 to represent the volume of the soil in the frame. Choose an online tool or paper to graph the
function V to identify the x-intercepts. List them in order from least to greatest.
Answer:
4321
Step-by-step explanation:
rreer5t66
help me read the instructions answer number 2 help me
Answer:
3. See explanation
2. [tex]\displaystyle Yes[/tex]
1. [tex]\displaystyle [2, 1][/tex]
Step-by-step explanation:
3. Substitution, Elimination, and Graphing are ALL three methods to solve a system of equations, whether they are in three variables or two. The only differense is that with graphing, you will easily spot when a system is dependent [Infinitive Solutions], inconsistent [no solution], and\or consistent [one solution]. With elimination, you want to eliminate one set of variables [set to zero] so that it will be alot simpler solving the system, then latre on, substitute whatever value solved for the remaining set of variables back into the system to solve for the eliminated variable. Finally, with substitution, all you have to do is choose which variable you want to solve for in all three equations, or two. It really does not matter which one, as long as you follow the proper universal concept in using the Order of Operations.
2. This is self-explanatory really. The only time you cannot use any method is when the linear equations form parallel lines. Otherwise, you will always have one or infinite solutions.
1. See above imagery
I am joyous to assist you at any time.
I need this ASAP please!
8x^3 − 125y^3/(2x + 5y)3 ÷ 4x^2 + 10xy + 25y^2/4x^2 + 20xy + 25y^2
To divide by a fraction, multiply by its reciprocal.
8x^3 − 125y^3/(2x + 5y)^3 ⋅ 4x^2 + 20xy + 25y^2/4x^2 + 10xy + 25y^2
Simplify the numerator.
Rewrite 8x^3 as (2x)^3.
(2x)^3 − 125y^3/(2x + 5y)^3 ⋅ 4x^2 + 20xy + 25y^2/4x^2 + 10xy + 25y^2
Rewrite 125y^3 as (5y)^3.
(2x)^3 − (5y)^3/(2x + 5y)^3 ⋅ 4x^2 + 20xy + 25y^2/4x^2 + 10xy + 25y^2
Since both terms are perfect cubes, factor using the difference of cubes formula,
a^3 − b^3 = (a − b) (a^2 + ab + b^2) where a = 2x and b = 5y.
(2x − (5y)) ((2x)^2 + 2x (5y) + (5y)^2)/(2x + 5y)^3 ⋅ 4x + 20xy + 25y^2/ 4x^2 + 10xy + 25y^2
Multiply 5 by −1.
(2x − 5y) ((2x)^2 + 2x (5y) + (5y)^2)/(2x + 5y)^3 ⋅ 4x^2 + 20xy + 25y^2/4x^2 + 10xy + 25y^2
Apply the product rule to 2x.
(2x − 5y) (22x^2 + 2x (5y) + (5y)^2)/(2x + 5y)3 ⋅ 4x^2 + 20xy + 25y^2/4x^2 + 10xy + 25y2
Raise 2 to the power of 2.
(2x − 5y) (4x^2 + 2x (5y) + (5y)^2)/(2x + 5y)^3 ⋅ 4x^2 + 20xy + 25y^2/4x^2 + 10xy + 25y^2
Rewrite using the commutative property of multiplication.
(2x − 5y) (4x^2 + 2 ⋅ 5xy + (5y)^2)/(2x + 5y)^3 ⋅ 4x^2 + 20xy + 25y^2/4x^2 + 10xy + 25y^2
Multiply 2 by 5.
(2x − 5y) (4x^2 + 10xy + (5y)^2)/(2x + 5y)^3 ⋅ 4x^2 + 20xy + 25y^2/ 4x^2 + 10xy + 25y^2
Apply the product rule to 5y.
(2x − 5y) (4x^2 + 10xy + 52y^2)/(2x + 5y)^3 ⋅ 4x^2 + 20xy + 25y^2/4x^2 + 10xy + 25y^2
Raise 5 to the power of 2.
(2x − 5y) (4x^2 + 10xy + 25y^2)/(2x + 5y)^3 ⋅ 4x^2 + 20xy + 25y^2/4x^2 + 10xy + 25y^2
Cancel the common factor of 4x^2 + 10xy + 25y^2.
((2x − 5y)/(2x + 5y)^3) (4x^2 + 20xy + 25y^2)
Multiply
(2x − 5y) (4x^2 + 20xy + 25y^2)/ (2x + 5y)^3
Factor using the perfect square rule.
Rewrite 4x^2 as (2x)^2.
(2x − 5y) ((2x)^2 + 20xy + 25y^2)/ (2x + 5y)^3
Rewrite 25y^2 as (5y)^2.
(2x − 5y) ((2x)^2 + 20xy + (5y)^2)/ (2x + 5y)^3
Check that the middle term is two times the product of the numbers being squared in the first
term and third term.
20xy = 2 ⋅ (2x) ⋅ (5y)
Rewrite the polynomial.
(2x − 5y) ((2x)2 + 2 ⋅ (2x) ⋅ (5y) + (5y)2)/(2x + 5y)^3
Factor using the perfect square trinomial rule a^2 + 2ab + b^2 = (a + b)^2, where a = 2x and b = 5y.
(2x − 5y) (2x + 5y)^2/ (2x + 5y)^3
Cancel the common factor of (2x + 5y)^2 and (2x + 5y)^3.
Factor (2x + 5y)^2 out of (2x − 5y) (2x + 5y)^2.
(2x + 5y)^2 (2x − 5y) / (2x + 5y)^3
Cancel the common factors.
2x − 5y / 2x + 5y
Answer:
This may be wrong but: (2x - 5y) ((2x)^2 + 10xy + (5y)^2) over (2x + 5y) (4x^2 + 10xy + 25y^2)
Step-by-step explanation:
solve 100+0.05p=0.25p
Answer:
p=500
Step-by-step explanation:
The value of p is 500 in the equation 100+0.05p=0.25p.
What is an equation?Two algebraic expressions having same value and symbol '=' in between are called as an equation.
Given:
The equation,
100+0.05p=0.25p
To solve the equation:
Simplify the equation,
100 = 0.25p - 0.05p
0.20p = 100
p = 100/0.20
p = 500
Therefore, 500 is the value of p.
To learn more about the equation;
https://brainly.com/question/12788590
#SPJ6
22
An airline offers a discount one way flight to New York City for $162 80. If the usual price for the ticket is $185.00, what is the percent discount
I will give brainliest to the correct answer!
The line L passes through the points (0, –2) and (6, 1).
Find an equation of the line L.
Answer:
an equation of the line L will be: y = 1/2x - 2
Step-by-step explanation:
The slope-intercept form of the line equation
y = mx+b
where
m is the slopeb is the y-interceptGiven the points
(0, -2)(6, 1)Determining the slope between (0, -2) and (6, 1)
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\left(x_1,\:y_1\right)=\left(0,\:-2\right),\:\left(x_2,\:y_2\right)=\left(6,\:1\right)[/tex]
[tex]m=\frac{1-\left(-2\right)}{6-0}[/tex]
[tex]m=\frac{1}{2}[/tex]
The y-intercept can be determined by setting x = 0, and determining the corresponding value of y.
From the point (0, -2), we can determine that at x = 0, the value of y = -2.
Thus,
The y-intercept b = -2
now substituting b = -2 and m = 1/2 in the slope-intercept form of line equation
y = mx+b
y = 1/2x + -2
y = 1/2x - 2
Therefore, an equation of the line L will be: y = 1/2x - 2
Jasmine is studying the polynomial function f(x)=-x^2+8x+18. Which of the following statement(s) about this function are true?
I. The polynomial function will open down.
II. The polynomial function has a minima of (4, 34).
III. The polynomial function has two roots.
IV. The axis of symmetry of the function is x=–4.
A. I and IV
B. II and III
C. I and III
D. lII and IV
Help me please..........
9514 1404 393
Answer:
C
Step-by-step explanation:
You can reflect point x across the origin to find is is just above -1. Adding 3 to that value gives a point just above -1+3 = 2. That's where point C is located.
__
Algebraic solution
Algebraically, you can set y = -x +3, and solve for x. That gives you ...
x = 3 -y
Using the relation given at the start:
0 < x < 1
0 < 3 -y < 1 . . . . . substitute for x
Adding y gives ...
y < 3 < y+1
We can separate this into two inequalities:
y < 3, and
3 < y+1
2 < y . . . subtract 1
Now, we have ...
2 < y < 3 . . . . . the location of point C
As you can see, it is much easier to use the number line directly to find the desired point.
Who's taking geometry and can help me?
Please help me with this question it is my first grade so I need to get it right on the answer if you’re positive you know
A property dealer charges a commission of 2% on the first 25000 and 1.5 % on the remainder. What commission does he charge for selling a plot of land of 130000
Answer:
$2075
Step-by-step explanation:
commission = 0.02 x $25,000 = $500
The remainder = $130,000 - $25,000 = $105,000
Commission on the remainder = 0.015 x $105,000 = $1,575
Total commission = $1,575 + $500 = $2075
Simplify the following expression.
[tex]\displaystyle{\frac{4x+14}{2}\div\frac{4x+14}{x-6}}[/tex]
Answer:
[tex]\displaystyle \frac{4x + 14}{2} \div \frac{4x + 14}{x - 6} = \frac{x - 6}{2}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDividing Fractions - KCF (Keep Change Flip)
Keep the 1st fraction the sameChange the sign from division to multiplicationFlip the 2nd fraction (reciprocate)Algebra I
Terms/CoefficientsDomainsStep-by-step explanation:
Step 1: Define
[tex]\displaystyle \frac{4x + 14}{2} \div \frac{4x + 14}{x - 6}[/tex]
Step 2: Simplify
Divide [KCF]: [tex]\displaystyle \frac{4x + 14}{2} \cdot \frac{x - 6}{4x + 14}[/tex]Multiply: [tex]\displaystyle \frac{(4x + 14)(x - 6)}{2(4x + 14)}[/tex]Divide: [tex]\displaystyle \frac{(x - 6)}{2}[/tex]Extra:
If we were to graph this, we would need to watch out for domain restrictions or changes because we are combining 2 domains together when 1 of them has a restriction.
Answer:
(x-6)/2
Step-by-step explanation:
Turn the second fraction upside down and multiply two fractions
Which of the following changes in a dilation? (Help fast please)
A. shape
B. slope
C. size
D. angle measures
Answer:
C. size
Step-by-step explanation:
A dilation does not change the shape of a figure, but it can change the size.
Solve for x in the literal equation −4 = xy + z.
Answer:
x = (-4 - z)/y
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityStep-by-step explanation:
Step 1: Define
-4 = xy + z
Step 2: Solve for x
Subtract z on both sides: -4 - z = xyDivide y on both sides: (-4 - z)/y = xRewrite: x = (-4 - z)/ywhich of the following is geometric sequence?
Answer:
Choice C
Step-by-step explanation:
A geometric sequence is usually one that multiply or divide to get to the next number in the sequence. So let's go through them to see which one gets multiplied since all of the choices are increasing.
Choice A:
[tex]1^{+3},4^{+1},5^{+4},9^{+5},14[/tex]
Nope that's not what we're looking for.
Choice B:
[tex]3^{+3},6^{+3},9^{+3},12^{+3},15[/tex]
This would be a perfect arithmetic sequence but not the type of sequence we are looking for.
Choice C:
[tex]6^{*3},18^{*3},54^{*3},162[/tex]
Yes! See how this one is multiplying by 3 and not adding or subtracting.
Choice D:
[tex]3^{+2},5^{+3},8^{+5},13^{+7},21[/tex]
Nope this is not it either.
Someone help me please
Answer:
The multiple choice question is A
one of the zeros is x=2
Tran has a coin jar that contains nickels, dimes, and quarters. There are 185 coins in the jar. There are 5 more dimes than quarters. If the total value of the coins in the jar is $25.25 how many quarters does the jar contain?
Answer:
[tex]63[/tex]
Step-by-step explanation:
Let number of nickels be [tex]x[/tex]
Number of dimes be [tex]y[/tex]
Number of quarters be [tex]z[/tex]
Total number of coins is [tex]185[/tex]
[tex]x+y+z=185[/tex]
Number of dimes is 5 more than quarters
[tex]y=5+z[/tex]
[tex]x+(5+z)+z=185\\\Rightarrow x+2z=180\\\Rightarrow x=180-2z[/tex]
Amount of money in the jar is $25.25
[tex]0.05x+0.1y+0.25z=25.25\\\Rightarrow 0.05x+0.1(5+z)+0.25z=25.25\\\Rightarrow 0.05x+0.5+0.1z+0.25z=25.25\\\Rightarrow 0.05x+0.35z=24.75[/tex]
[tex]0.05(180-2z)+0.35z=24.75\\\Rightarrow 9-0.1z+0.35z=24.75\\\Rightarrow 9+0.25z=24.75\\\Rightarrow z=\dfrac{24.75-9}{0.25}\\\Rightarrow z=63[/tex]
[tex]y=5+z=5+63\\\Rightarrow y=68[/tex]
[tex]x=180-2z=180-2\times 63\\\Rightarrow x=54[/tex]
So, the number of quarters is [tex]63[/tex].
Answer:
63 is the correct answer :)
Step-by-step explanation:
So can someone just help me solve this and tell me which terms belong together....ty-
Triangle ABC is similar to triangle DEF
Answer:
A my dude. good luck!!!!!
Answer:
A
Step-by-step explanation:
AC = 5
DF = 15
5 x 3 = 15
BC = 3
EF = 9
3 x 3 = 9
Do you see the pattern? So as you can see the difference between Triangle ABC and DEF is the multiply/divide 3 so if you want to find DE then you should set it up as:
[tex]\frac{4}{3}[/tex] = [tex]\frac{DE}{9}[/tex] and to check if its right if you solve it you get [tex]\frac{4}{3}[/tex] = [tex]\frac{12}{9}[/tex]
and as you see [tex]\frac{12}{9}[/tex] and [tex]\frac{4}{3}[/tex] are literally the same thing just you need to simplify [tex]\frac{12}{9}[/tex]
Kate is arranging new furniture in her rectangular sitting room. She has mapped the arrangement on a coordinate pane. A, B, and C represent the sofas, V1 and V2 are decorative vases and AQ represents the aquarium. Find the distance between V2 and the aquarium in Kate's sitting room.
A. 1 units
B. √101
C. √221
D. 11 units
Answer:
V2 has more room than the Aquarium.
Step-by-step explanation:
Need Help Please answer and Find the measure of the exterior angle of the triangle.
Answer:
20
Step-by-step explanation:
Answer:
y°=70
Step-by-step explanation:
the angles inside a triangle must add up to 180 degrees, and thus the unknown interior angle is 180°-40°-30°=110°
this interior angle and the exterior angle are supplementary to each other and thus 110°+y°=180°
so y°=70°
you could also have used the theorem that states that the interior angles sum not adjacent to the exterior angle would equal the exterior angle
Plz help !!!!!!!!!!!!!!!!!!
Answer:
i am sorry i do not understand ill try to look harder ill keep u updated
Step-by-step explanation:
Write the
following in
slope-intercept
form:
7x - 2y = -6
2y = 7x + 6 or the simplified version would be y = 7/2x + 3
Step-by-step explanation:
u just gotta know that slope intercept form is the equation y=mx+b
m = 5.71 + 0.25n
j = 4.66 + 0.60n
In the equations above, m and j represent
the price per gallon of milk and orange juice,
respectively, n months after December 31, 2018.
What was the price per gallon of milk when it was
equal to the price per gallon of orange juice?
A) $5.96
B) $6.21
C) $6.46
D) $6.71
Answer:
C) $6.46
Step-by-step explanation:
Equations
The price per gallon of milk (m) and the price per gallon of orange juice (j) are given below:
m = 5.71 + 0.25n
j = 4.66 + 0.60n
Where n is the number of months after December 31, 2018.
It's required to find the value of n when both prices are equal:
4.66 + 0.60n = 5.71 + 0.25n
Subtracting 0.25n:
4.66 + 0.60n - 0.25n = 5.71
Subtracting 4.66:
0.60n - 0.25n = 5.71 - 4.66
Operating:
0.35n = 1.05
n = 1.05/0.35
n = 3
The price per gallon of milk for n=3:
m = 5.71 + 0.25*3
m = 5.71 + 0.75
m = $6.46
Can someone help (8 grade math)
Answer:
B) 110.92 u²
Step-by-step explanation:
to find the surface area, find the area of each side and add them together.
here are all 6 sides:
4.5 * 6.8
4.5 * 6.8
4.5 * 2.2
4.5 * 2.2
2.2 * 6.8
2.2 * 6.8
4.5 * 6.8 = 30.6
4.5 * 6.8 = 30.6
4.5 * 2.2 = 9.9
4.5 * 2.2 = 9.9
2.2 * 6.8 = 14.96
2.2 * 6.8 = 14.96
30.6 + 30.6 + 9.9 + 9.9 + 14.96 + 14.96
110.92
Landen's front lawn measures 20 feet by 80 feet. He counts to find that there are
120 blades of grass per square inch. How many blades of grass are in the entire
lawn?
Answer:
[tex]27,648,000[/tex]
Step-by-step explanation:
The area of a rectangle is given by [tex]l\cdot w[/tex]. Landen's 20 feet by 80 feet front lawn therefore has an area of [tex]20\cdot 80 = \fbox{$1600\: \mathrm{ft^2}$}[/tex].
He counts there are 120 blades of grass per square inch. There are [tex]12^2=144[/tex] square inches in one square foot.
Therefore, his lawn has an area of [tex]1600\: \mathrm{ft^2}\cdot \frac{144\:\mathrm{in^2}}{1\:\mathrm{ft^2}}=230,400\:\mathrm{in^2}[/tex].
Thus, there are [tex]230,400\:\mathrm{in^2}\cdot 120=\fbox{$27,648,000$}[/tex] blades of grass in the entire lawn.
