Answer:
C. The value of z has to be greater than 1
Step-by-step explanation:
[tex]15 - 15z < 0 \\ - 15z < - 15 \\ 15z > 15 \\ z > 1[/tex]
Mrs. Smith bought 6.5 metres of lace. She used 1.3 metre to make a dress. She used the rest to make 4 cushions of the same size. How much lace did she use for each cushion, giving your answer in centimetres?
Mrs. Smith used 130 centimeters of lace for each cushion.
What are mathematical operations?Calculating a value using operands and a math operator is referred to as performing a mathematical "operation." The math operator's symbol has predetermined rules that must be applied to the supplied operands or numbers. There are five fundamental operations in mathematics: addition, subtraction, multiplication, division, and modular forms.
Given Mrs. Smith bought 6.5 meters of lace. She used 1.3 meters to make a dress. She used the rest to make 4 cushions of the same size.
Lace bought by Mrs. smith = 6.5 meters
Since she used lace in the dress = 1.3 meters
remaining lace = 6.5 - 13
remaining lace = 5.2 meters
Since she used the remaining lace to make four cushion
thus, lace required for every cushion = 5.2/4 = 1.3
therefore, she used for each cushion 130 centimeters of lace.
Learn more about mathematical operations here:
https://brainly.com/question/20628271
#SPJ2
What is the equation of the line that passes through (4,3) and (2, -1)?
y = 6x+4
y = 1/2 x -2
y = 2x-5
y = 4x -13
c
you need to find the slope and then y intercept
m=y2-y1/x2-x1
so m=2
now y intercept
3=2(4)+b
solve for b
u get -5
therefore
y=2x-5
I NEED HELP PLEASE !!!
Answer:
The first choice
Step-by-step explanation:
Perpendicular lines intersect to form right angles, like the x- and y-axis on a coordinate plane.
Answer:
option 1 or A
Step-by-step explanation:
it is the definition of perpendicular lines
please answer my question and I will mark branliest
Answer:
3/4
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
an = 3.5 +2.8 (n-1)
f(n) =
Answer:
f(n) = 2.8n + 0.7
Step-by-step explanation:
The form of the linear function is f(x) = m x + b, where
x is the inputf(x) is the outputLet us solve the question
∵ The rule of the arithmetic sequence is a[tex]_{n}[/tex] = 3.5 + 2.8(n - 1), where
a[tex]_{n}[/tex] is the nth term ⇒ outputn is the number of the term ⇒ input→ To write it as a function replace a[tex]_{n}[/tex] by f(n)
∵ a[tex]_{n}[/tex] = f(n)
∴ f(n) = 3.5 + 2.8(n - 1)
→ Simplify the right side to make it in the form of the function above
∵ f(n) = 3.5 + 2.8(n) + 2.8(-1)
→ Remember (+)(-) = (-)
∴ f(n) = 3.5 + 2.8n - 2.8
→ Add the like terms in the right side
∵ f(n) = 2.8n + (3.5 - 2.8)
∴ f(n) = 2.8n + 0.7
Hello please help me !!!!!
Answer:
negative 4 and negative 1
. Solve; 2x+96=182 hurry due in 5 mins
Move all terms that don't contain x to the right side and solve.
x = 43
Answer:
x=43
Step-by-step explanation:
2x+96=182
2x=86 (Subtract 96 from 182)
x=43 (Divide 86 by 2)
plz help me or dont lol
Answer:
x = 8
Step-by-step explanation:
:)
Answer:
8
Step-by-step explanation:
I believe one of the rules of angles states that angle (4x-6) = angle (7x-30).
so 4x-6 = 7x-30
moving like terms together,
7x-4x = -6 + 30
3x = 24
x = 24/3
x = 8
A bag of chips costs $3.79 including tax. Mr. Connor wants to purchase chips for his class and has a $15 budget. Write an inequality to solve for the number of bags of chips Mr. Connor can purchase with his budget. (2 points)
A multiple choice quiz has two questions , each with five answer choices. Only one choice is correct. Find the probability of answering two questions correctly,
. Show work
Answer:
1/25 to get both correct
Step-by-step explanation:
So the probability of getting one choice correct is 1/5
Since 5 choices 1 is correct
now we have to get 2 in a row correct so
1/5*1/5=1/25
Erica is a police officer. She earns $24 an hour. Sometimes she works extra shifts and earns time and a half for each hour she works over 40. Erica is paid biweekly. Last week she worked 44 hours and this week she worked 52 hours. Calculate Erica's Gross Pay
Answer:
Gross pay = $2496
Step-by-step explanation:
Erica earns $24 an hour. She works extra shifts and earns time and a half for each hour.
Her extra earning starts over 40 hours.
Therefore, her extra earning above 40 hours = 1.5 × 24
= $36 per hour
She worked for 44 hours in last week, her total earnings for last week
= (40 × $24) + (4 × $36)
= 960 + 144
= $1104
She worked for 52 hours this week, her total earnings for this week
= (40 × $24) + (12 × $36)
= 960 + 432
= $1392
Since, Erica was paid biweekly,
Her gross income = $1104 + $1392
= $2496
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:
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:
What is the solution to the system of equations shown?
y=2x+2
y=4x-2
Step-by-step explanation:
[tex]y = 2x + 2 \\ y = 4x - 2 \\ 2x = y - 2 \\ x = 0.5y - 1 \\ y = 4(0.5y - 1) - 2 \\ y = 2y - 4 - 2 \\ - y = - 6 \\ y = 6 \\ x = 0.5 \times 6 - 1 \\ x = 2[/tex]
Please help me with this question!!
Step-by-step explanation:
according to pythagoras theorem
Hypotenuse2 = Perpendicular2 + Base2
c2 = a2 + b2
therefore,
x2 = (4)2 + (4)2
x2 = 16 + 16
x2 = 32
x = √32
hence, x = 4√2
solve 6 (3x/2-4) =30
[tex]x = - \frac{10}{3} [/tex]
EXPLANATION[tex] - 9x = 30[/tex]
[tex]9x = - 30[/tex]
[tex]x = - \frac{10}{3} [/tex]
HopeItHelps you
2 4/10 + 3 5/8 = what does it equal
De un bote con 180 caramelos Laura se ha comido una decima parte, Marta una novena parte y Cristina una quinta parte. De lo que queda, Juan se ha comido la mitad. ¿ Cuantos caramelos quedan?
Answer:
53 caramelos
Step-by-step explanation:
El número total de caramelos en el frasco = 180 caramelos
Para Laura
Laura se ha comido la décima parte de un frasco
1/10 × 180 caramelos = 18 caramelos
Por Marta
Marta una novena
1/9 × 180 = 20 caramelos
Por Cristina
Cristina una quinta.
1/5 × 180 = 36 caramelos.
De lo que queda, Juan se ha comido la mitad.
La cantidad de caramelos que quedan se calcula como:
180 - (18 + 20 + 36)
= 180 - 74
La cantidad de caramelos que quedan = 106 caramelos
Para juan
De lo que queda, Juan se ha comido la mitad.
= 1/2 × 106
= 53 caramelos
¿Cuántos dulces quedan?
= 106 caramelos - 53 caramelos
= 53 caramelos
Por tanto, quedan 53 caramelos.
Solve for y: 2x^2+2y=4x+2x^2-7. Show your work
Answer:
y = 2x - 3.5
Step-by-step explanation:
2x² + 2y = 4x + 2x² - 7
2y = 4x + 2x² - 7 - 2x²
2y = 4x - 7
y = (4x - 7) / 2
y = 2x - 3.5
2x² + 2y = 4x + 2x² - 7
4x + 2y = 4x + 2x² - 7
4x + 2y = 4x + 4x - 7
4x+2y=8x-7
2y = 4x - 7
I need your help please!!
**the answer choices are in the pictures as well**
Answer:
The line test is the third graph that shows a vertical line with two points plotted.
Step-by-step explanation:
A line test is used to determine if a graph is a function. Every input should only have one output. Since when she inputs 1.5 she gets two different answers it is not a function.
hi someone please help this is really urgent !!!
picture is attached pls help <3
Answer:
it can be answer that it could be posstive
Marie works in a garment factory that makes shirts. Marie’s job is sewing in sleeves. Marie receives .55 for each pair of sleeves she completes. During this pay period, she completed 1, 632 pairs of sleeves. What were Marie’s gross earnings?
Answer:
879.6
Step-by-step explanation:
I had a similar question that I solved which helped me here.
Chico is saving for new shoes that cost $127. He already has $13 saved, and he will save the same amount each week. Chico wants to buy the shoes in 6 weeks. Chico used the inequality 13+6x ≥ 127 to determine the least amount he would need to save each week. Chico's solution to the inequality was X ≥ 19? I know this is very confusing but help if u can
Answer:
He Has to save $13 every week for six weeks which equals 78,and 78+9 is 87
Mrs. Gatlin streams a movie on her tablet. The movie is 95 minutes long, and she has streamed 60% of the movie so far. How many
minutes of the movie has she streamed?
a. 36 minutes
b. 48 minutes
c. 57 minutes
d. 60 minutes
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
Who's taking geometry and can help me?
-12(x + 6.2) = 60 what does x equal
Answer: its 11.2 my good sir
Step-by-step explanation:
Im jsut smort trust me its right
Angie’s rotation maps triangle XYZ to triangle X’Y’Z’.
X(3, –6) maps to X’(–3, 6)
Y(1, –2) maps to Y’(–1, 2)
Z(–1, –5) maps to Z’(1, 5)
Which describes the rotation?
Answer:
The description of the rotation is 180 degrees clockwise or counterclockwise rotation
Step-by-step explanation:
Here, we want to get the kind of rotation that maps the triangle into its new coordinates
we have this as;
(x,y) to (-x, -y)
that will be ;
a 180 degrees rotation or counter clockwise rotation
180 rotation so A
Step-by-step explanation:
Help i cant figure this equation out 9x-7i 3(3x-7u)
Answer:
49i^3u−21i^3x+9x
Step-by-step explanation:
