Answer:
3.375yards of blue fabric 6.125yards of green fabricStep-by-step explanation:
step one:
given data
blue fabric costs $9 a yard.
green fabric costs $13 a yard.
Let x represent the number of blue yards of fabric purchased and
let y represent the number of green yards of fabric purchased.
Step two:
The quilter needs at least 9.5 yards of fabric in total.
x+y>=9.5--------1
The quilter can spend up to $110 on fabric.
9x+13y<=110----2
from equation
x+y>=9.5
x=9.5-y
put x=9.5-y in equation 2 we have
9(9.5-y)+13y<=110----2
85.5-9y+13y=110
4y=110-85.5
4y=24.5
y=24.5/4
y=6.125
put y=6.125 in x=9.5-y to find x
x=9.5-6.125
x=3.375
Hence the quilt can purchase
3.375yards of blue fabric
6.125yards of green fabric
3.375 yards of blue fabric and 6.125 yards of green fabric was purchased.
Let x represent the number of blue yards of fabric purchased and let y represent the number of green yards of fabric purchased.
Hence:
x + y ≥ 9.5 (1)
The quilter can spend up to $110 on fabric. Hence:
9x + 13y ≤ 110 (2)
The solution to the inequality is:
x = 3.375, y = 6.125
3.375 yards of blue fabric and 6.125 yards of green fabric was purchased.
Find out more on inequality at: https://brainly.com/question/241541
The sum of the digits of a two digit number is eight the digits are reversed the number increases by 18 find the original number
Answer:
The two digit number is 35.
Step-by-step explanation:
Let xy be the two digit number
According to given statement
[tex]x+y = 8\ \ \ \ Eqn\ 1[/tex]
The place value of xy is 10x+y
Reversing the number will be: 10y+x
It is also mentioned that the new number is previous number increase by 18
So,
[tex]10y+x = 10x+y+18\\10y-y+x-10x = 18\\9y-9x = 18\\9(y-x) = 18\\\frac{9(y-x)}{9} = \frac{18}{9}\\y-x = 2\ \ \ Eqn\ 2[/tex]
From equation 2
[tex]y = 2+x[/tex]
Putting in equation 1
[tex]x+y = 8\\x+2+x = 8\\2x+2 = 8\\2x = 8-2\\2x = 6\\\frac{2x}{2} = \frac{6}{2}\\x = 3[/tex]
Putting x = 3 in equation 1
[tex]3+y = 8\\y = 8-3 = 5[/tex]
xy = 35
Hence,
The two digit number is 35.
In Exercises 7–10, graph the function, and label its vertex and y-intercept.
7. F(x) = 3x^2 – 12x + 6
8. y = 5x2 + 20x - 9
9. y = –6x2 – 12x - 5
10. f(x) = -7x2 + 28x - 8
Answer:
#7: Vertex is (2,-6)
y-intercept is (0,6)
#8: Vertex is (-2,-29)
y-intercept is (0,-9)
#9: Vertex is (-1,1)
y-intercept is (0,-5)
#10: Vertex is (2,20)
y-intercept is (0,-8)
Step-by-step explanation:
Graphs are in the picture below
Question 2 An exponential model y = a.6 passes through the points (0,9) and (3,243). What are the values of a and b?
Answer:
a = 9, b = 3
Step-by-step explanation:
The exponential function is
y = a [tex]b^{x}[/tex]
Find a and b by using the points it passes through
Using (0, 9 ) then
9 = a [tex]b^{0}[/tex] ( [tex]b^{0}[/tex] = 1 )
a = 9
y = 9 [tex]b^{x}[/tex]
Using (3, 243 ) then
243 = 9b³ ( divide both sides by 9 )
27 = b³ ( take the cube root of both sides )
b = [tex]\sqrt[3]{27}[/tex] = 3
y = 9[tex](3)^{x}[/tex] ← exponential equation
. A book collector has 425 books,
56% of which were published
prior to 1900. How many books
were published prior to 1900?
Answer:
238
Step-by-step explanation:
all you do is part and whole divide
StartFraction negative 8 (17 minus 12) over Negative 2 (8 minus (negative 2)) EndFraction
Answer:
2
Step-by-step explanation:
i took the test
Solve for x.
I need help
Answer:
x = 35
Step-by-step explanation:
The segment from the vertex of the triangle is an angle bisector and divides the opposite side into 2 segments that are proportional to the other 2 sides, that is
[tex]\frac{20}{x}[/tex] = [tex]\frac{8}{14}[/tex] ( cross- multiply )
8x = 280 ( divide both sides by 8 )
x = 35
What is one important thing you have to do before solving a word problem?
Answer:
read the answer through and collect all the information you can
A set of 4 consecutive odd integers has a sum of 216. What are the integers?
Answer:
Hope this helps!!
Step-by-step explanation:
So the four consecutive odd integers are: 51 , 53 , 55 and 57 .
If the first integer is n, then the other three are n+2,n+4 and n+6
and we have:
216=n+(n+2)+(n+4)+(n+6)=4n+12
Subtract 12 from both ends and transpose to get:
4n=204
Divide both sides by 4
to get:
n=51
So the four consecutive odd integers are:
51,53, 55 and 57.
Evaluate f(x) =-3x + 7 for x = 2
Answer:
F(x)=1
Step-by-step explanation:
Just add in 2 were x is. f(x)=-3(2)+7 then multiply -3(2) which is -6 then add 7
PLEASE HELP, WILL MARK BRAINLIEST !!!
Answer:
- 2
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
Here [ a, b ] = [ - 4, 3 ] , then
f(b) = f(3) = 3² - 3 - 8 = 9 - 3 - 8 = - 2
f(a) = f(- 4) = (- 4)² - (- 4) - 8 = 16 + 4 - 8 = 12 , tus
average rate of change = [tex]\frac{-2-12}{3-(-4)}[/tex] = [tex]\frac{-14}{7}[/tex] = - 2
Please help me with this question asap
Answer:
156 for the first, 14 for the second
Step-by-step explanation:
x = -5 y=4
Plug in (first equation)
(4(4))^2 - (2(-5))^2
(16)^2 - (-10)^2
256-100
156
Second Equation
4y^2-2x^2
Plug in
4(4)^2 - 2(-5)^2
4(16) - 2(25)
64-50
14
Parenthesis make a huge difference
Hope this helps =D
What is the volume of material he must purchase?
2 ft3
4 ft3
6 ft3
8 ft3
Answer:
In this problem, we use the formula for volume which is:
volume=(length*width*height)/3
Since the base of the triangle is a square, we simply know that the length and width is equal.
L = W = 2 ft
H = 6 ft
Solution:
V = (2*2*6)/3V = 8 ft^3
The correct answer is 8 ft^3
Hope this helps.
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
trust me bro.
simple math
Maria wants to measure the length of her thumb using a nonstandard unit. Which object would be the best for Maria to use?
A stapler
B chalkboard eraser
C book
D paper clip
If 84 J of work are exerted to pull a wagon, how much force does it take to pull the wagon 7.0 m? Round your answer to the nearest whole number.
It takes N of force to pull the wagon.
Answer:
12N
Step-by-step explanation:
force=workdone/distance
=84/7
=12N
hope it helps
Answer:
12n
Step-by-step explanation:
1) Every day, the Clark Pet Store uses 2/3 of a bag of dog food to feed the dogs. How
many days will 4 2/3 bags of dog food last?
BRIANLYEST TO WHOEVER ANSWERS FIRST
Answer:
7 days
Step-by-step explanation:
I'm on crack but I never did it bruh
what is the possibility that a randomly selected person is on the swim team
Express the probability as a percent rounded to the nearest tenth of a percent
Answer:
What is the probability that a randomly selected person is on the swim team?
28 out of 67 people are on the swim team
so that's 28/67
41.7910448% round to the nearest tenth
41.8% is the answer.
Step-by-step explanation:
Find the slope of the following given points (-3, 1) and (5, 17)
Answer:
slope is 2
Step-by-step explanation:
find the change in y and x to then divide them
17-1/5- -3 = 16/8 = 2
4(m - 3) = 36 PLEASE STEP BY STEP EXPLANATION IN WORDS!
Answer: 12
Step-by-step explanation:
A bakery mixes cookie dough in large batches. For chocolate chip cookies,10 cups of sugar and 20 cups of flour are needed. Write the ratio of sugar to flour for chocolate chip cookies. Express your answer as a simplified ratio.
Answer:
1 cup of sugar for every 2 cups of flour 1:2
Step-by-step explanation:
The ratio of sugar to flour for chocolate chip cookies, to maintain the same taste, will be 1/2.
What are ratio and proportion?A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.
A bakery mixes cookie dough in large batches.
For chocolate chip cookies, 10 cups (2,365.88 ml) of sugar and 20 cups (4,731.76 ml) of flour are needed.
Then the ratio of sugar to flour for chocolate chip cookies to maintain the same taste, will be
Let S be the amount of sugar and F be the amount of the flour.
Then the ratio of sugar to flour will be
S / F = 10 / 20
S / F = 1 / 2
Thus, the ratio of sugar to flour for chocolate chip cookies, to maintain the same taste, will be 1/2.
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
#SPJ5
GJ bisects ∠FGH and is a perpendicular bisector of FH. Triangle F G H is cut by perpendicular bisector G J. Line segments F J and J H are congruent. Angle F G J and J G H are both 30 degrees. What is true of triangle FGH? It is a right triangle. It is an obtuse triangle. It has exactly 2 congruent sides. It has exactly 3 congruent sides.
Answer:
D: It has exactly 3 congruent sides
Step-by-step explanation:
finished quiz on edg2020
Answer:
the answer is D just took the test
Step-by-step explanation:
just took the test
Graph the line.
y=3x-7
Step-by-step explanation:
so the -7 means that the line will cross the y-axis at the point (0,-7). from there, we knows the slope is 3. slope is rise over run, so 3 over 1. we go up 3 and over 1
help me answer 2/9 divided by 1/6
1.33333
Step-by-step explanation:
Don't worry it checks out.
Answer:
1.33333333333
Step-by-step explanation:
help me pls UoU Uwu
\djjn
Answer:
y = 4x + 14
Step-by-step explanation:
slope-intercept form: y = mx + b
Slope formula: [tex]\frac{y2-y1}{x2-x1}[/tex]
To write the equation in y = mx + b form, we need to find the slope(m) and the y-intercept(b) of the equation.
To find the slope, take two points from the table(in this example I'll use points (0, 14) and (1, 18)) and input them into the slope formula:
[tex]\frac{18-14}{1-0}[/tex]
Simplify:
18 - 14 = 4
1 - 0 = 1
[tex]\frac{4}{1}=4[/tex]
The slope is 4.
To find the y-intercept, input the values of the slope and one point(in this example I'll use point (1, 18)) into the equation format and solve for b:
y = mx + b
18 = 4(1) + b
18 = 4 + b
14 = b
The y-intercept is 14.
Now that we know the slope and the y-intercept, we can write the equation:
y = 4x + 14
What is the roots of f(x)=-x^2-6x-14
Answer:
[tex]x=-3\pm i \sqrt{5}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Standard Form: ax² + bx + c = 0Quadratic Formula: [tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]Algebra II
Imaginary roots: √-1 = iStep-by-step explanation:
Step 1: Define function
f(x) = -x² - 6x - 14
Step 2: Set up
Set equation equal to 0: -x² - 6x - 14 = 0Factor out -1: -(x² + 6x + 14) = 0Divide both sides by -1: x² + 6x + 14 = 0Step 3: Define variables
a = 1
b = 6
c = 14
Step 4: Find roots
Substitute: [tex]x=\frac{-6\pm\sqrt{6^2-4(1)(14)} }{2(1)}[/tex]Exponents: [tex]x=\frac{-6\pm\sqrt{36-4(1)(14)} }{2(1)}[/tex]Multiply: [tex]x=\frac{-6\pm\sqrt{36-56} }{2}[/tex]Subtract: [tex]x=\frac{-6\pm\sqrt{-20} }{2}[/tex]Factor: [tex]x=\frac{-6\pm\sqrt{-1} \sqrt{20} }{2}[/tex]Simplify: [tex]x=\frac{-6\pm2i \sqrt{5} }{2}[/tex]Factor: [tex]x=\frac{2(-3\pm i \sqrt{5} )}{2}[/tex]Divide: [tex]x=-3\pm i \sqrt{5}[/tex]In which quadrant is the point (–3, 5) located? quadrant I quadrant II quadrant III quadrant IV
Answer:
B
Step-by-step explanation:
just ended the test
Answer: (-3, 5) : Quadrant 2
Question in picture solve
Find f(-3) if f(x) = x 2.
Answer:
...
Step-by-step explanation:
who mISSES SCHOOL? because i dont rlly...
Not at all, I was doing online school before quarantine started, so this is all normal for me lol
Leo bought 4 T-shirts and 2 pairs of pants for Php 3 000.00. If the T-
shirts cost Php 300.00 each, find the cost of each pair of pants.
1) What is asked?
2) What are the given?
3) What operation will be used?
4) What is the hidden question?
5. What is the number sentence?
6. Write the solution:
Answer:
hey
Step-by-step explanation:
farmers are better than doctors
Answer:
they are both the same
Step-by-step explanation:
farmers give us food and doctors make us healthier