Answer:
Please find the attached graph
Melinda sold 8 packages of coffee and 6 packages of pastries
Step-by-step explanation:
The parameters given are;
Number of Packages of coffee = x
Number of Packages of pastries = y
Price of each package of coffee = $6
Price of each package of coffee = $4
Number of packages of packages of coffee sold = 2 more than packages of packages pastries sold
x = 2 + y
y = x - 2................(1)
Sum of money made in the fundraiser = $72
∴ x × $6 + y × $4 = $72
y = ($72 - x × $6)/$4 = 18 - 3/2·x
y = 18 - 3/2·x.........(2)
The solution is
x - 2 = 18 - 3/2·x
x + 3/2 = 18 + 2 = 20
5/2·x = 20
x = 2/5×20 = 8
y = x - 2 = 8 - 2 = 6
This is the answer from plato/edmentum.
Rachel reads 36 chapters of a book in 6 hours. What is her rate in chapters per hour?
Answer:
6 chapters per hour
Step-by-step explanation:
36 chapters divided by 6 hours equals 6 chapters per hour.
Answer:
6
Step-by-step explanation:
36 devide by 6=6
MSolve the following equation using the quadratic formula.
x^2 - 8x + 97 = 0
А.x = 8 + 18i and x = 8 – 18i
B.x= 8 + 18i and x = 8 - 18i
C.x= 4 + 9i and x = 4 - 9i
D. x= 4 + 9i and x= -4 - 9i
Answer:
the answer is C
Step-by-step explanation:
it it can be calculated by using simple quadratic formula
How do I find the value of x? Can someone please explain
Answer:
4solution,
[tex] {x}^{3} = 64 \\ or \: x = \sqrt[3]{64} \\ or \: x = \sqrt[3]{4 \times 4 \times 4} \\ x = 4[/tex]
Hope this helps...
Good luck on your assignment...
Answer:
x=4
Step-by-step explanation:
x^3=64
it means same number multiply by it self three times to get 64
to find x you need to use cubic root because it is to the power 3
∛x^3=∛64
∛x*x*x=∛4*4*4 or ∛4^3
x= 4
Which of the following situations represent linear growth? Check all of the boxes that apply
Answer:
I can't see the answer choices, so I'll do my best to explain.
Step-by-step explanation:
Linear growth is growth where the growth is the same in each step. This means the line is straight, or linear. An example would be y = x or y = 6x +1. As long as there is no exponent on the variable or it is not in the bottom of a fraction, it should be linear.
Answer:
ACD
Step-by-step explanation:
Pls help with the solution of the question.
Answer:
[tex]\frac{17}{13}[/tex]
Step-by-step explanation:
Given
tan x = [tex]\frac{5}{12}[/tex] = [tex]\frac{opposite}{adjacent}[/tex]
5 and 12 are the legs of a 5- 12- 13 right triangle with hypotenuse 13, thus
sin x = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{5}{13}[/tex]
cos x = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{12}{13}[/tex]
Thus
sin x + cos x = [tex]\frac{5}{13}[/tex] + [tex]\frac{12}{13}[/tex] = [tex]\frac{17}{13}[/tex]
Blaine says that the product of a positive integer and a negative integer is always less than either factor. Is he correct? Provide examples or counterexamples to support your answer.
help me pleasseeeeeee
Answer:
no
Step-by-step explanation:
The product of -2 and 1 is -2, which is not less than -2. Blaine's conjecture fails if the positive integer is 1.
What is the value of
the answer is 2. see attached for step-by-step instructions. hope that helps!
Find both the vector equation and the parametric equations of the line through (0,0,0) that is perpendicular to both uequalsleft angle 2 comma 0 comma 2 right angle and wequalsleft angle negative 2 comma 1 comma 0 right angle where tequals0 corresponds to the given point.
Complete Question:
Find both the vector equation and the parametric equations of the line through (0,0,0) that is perpendicular to both [tex]u = < 2, 0, 2>[/tex] and [tex]w = < -2, 1, 0>[/tex] where t = 0 corresponds to the first given point.
Answer:
Vector equation: (x, y, z) = (0, 0, 0) + t ( u x w)
Parametric equation:
x = -2t
y = -4t
z = 2t
Step-by-step explanation:
Since the line is perpendicular to [tex]u = < 2, 0, 2>[/tex] and [tex]w = < -2, 1, 0>[/tex] , we will find the cross product of u and w
[tex]u \times w = \left[\begin{array}{ccc}i&j&k\\2&0&2\\-2&1&0\end{array}\right] \\\\u \times w = i(0-2) -j(0+4) + k(2)\\\\u \times w = -2i - 4j + 2k\\\\u \times w = < -2, -4, 2>[/tex]
The equation of the line can be given by:
(x, y, z) = (0, 0, 0) + t ( u x w)
(x, y, z) = (0, 0, 0) + t < -2, -4, 2 >
x = -2t, y = -4t, z = 2t
The equation of the line and its parametric equations are [tex]\vec r = \langle 0,0,0 \rangle + t\cdot \langle -2,4,2 \rangle[/tex] and [tex](x,y, z) = (-2\cdot t, 4\cdot t, 2\cdot t)[/tex].
Determination of the vector equation and parametric equations of the lineVectorially speaking, the equation of the line is defined by the following formula:
[tex]\vec r = \vec O + t\cdot \vec l[/tex] (1)
Where:
[tex]\vec O[/tex] - Vector intercept[tex]t[/tex] - Parametric variable[tex]\vec l[/tex] - Line vectorSince [tex]\vec l[/tex] must be perpendicular both to [tex]\vec u[/tex] and [tex]\vec v[/tex], then we must apply cross product:
[tex]\vec l = \left|\begin{array}{ccc}\hat{i}&\hat{j}&\hat{k}\\2&0&2\\2&1&0\end{array}\right|[/tex]
[tex]\vec l = \langle -2, 4, 2\rangle[/tex] (2)
Then, we have the following equation of the line: ([tex]\vec O = \langle 0,0,0 \rangle[/tex], [tex]\vec l = \langle -2, 4, 2\rangle[/tex])
[tex]\vec r = \langle 0,0,0 \rangle + t\cdot \langle -2,4,2 \rangle[/tex] (3)
And the parametric equations are, respectively:
[tex](x,y, z) = (-2\cdot t, 4\cdot t, 2\cdot t)[/tex] (4)
The equation of the line and its parametric equations are [tex]\vec r = \langle 0,0,0 \rangle + t\cdot \langle -2,4,2 \rangle[/tex] and [tex](x,y, z) = (-2\cdot t, 4\cdot t, 2\cdot t)[/tex]. [tex]\blacksquare[/tex]
RemarksThe statement presents typing mistakes and is poorly formatted. Correct form is shown below:
Find both vector equation and the parametric equations of the line through (0, 0, 0) that is perpendicular to the following two vectors: [tex]\vec u = \langle 2, 0, 2 \rangle[/tex], [tex]\vec v = (2, 1, 0)[/tex].
To learn more on line equations, we kindly invite to check this verified question: https://brainly.com/question/2564656
Which expression is equivalent to -4 * 4 * 4 * 4 * 4 * 4 * 4 * 4
Answer:
-65536
Step-by-step explanation:
-1*4^8
Answer:
-65536
Step-by-step explanation:
Can any kind soul help me
Step-by-step explanation:
2.(a) uniform speed = distance/ time
= ( 9×16) / 9
= 16 m/s
(b) 19-10 = 9s
(c) 16×9 = 144m
(d) rate of change of speed
= (v-u)/ t
= ( 7-16)/ 6
= -3/2 m/s²
3.(a) uniform speed = distance/ time
= ( 12×20 ) / 12
= 20 m/s
(b) 22-10 = 12s
(c) (12×20) + 1/2(20+60)(18)
= 240+720
= 960m
(d) acceleration
= (v-u)/ t
= ( 60-20 ) / 18
= 20/9 m/² or 2.22 m/s²
Please answer this question now in two minutes
Answer:
130
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
130.4
It would be really helpful if you could solve this for me. Please and thank you:)
Hey there! :)
Answer:
2nd choice.
Step-by-step explanation:
Given:
630 = 42f.
Divide both sides by 42 to solve for f:
630/42 = 42f/42
f = $15.
This equation is not an inequality, so a line would not be graphed on the number-line. The proper way to show a single solution would be with a point. Therefore:
The second choice is correct. The number line has a single point at f = 15.
Simple question
please help me solve this
Answer:
290 m³
Step-by-step explanation:
Volume of the composite figure can be calculated by using the formula for volume of a rectangular prism to calculate, separately, the volume of the top prism, then volume of the prism beneath, before summing both volumes together.
Volume of rectangular prism = width (w) × height (h) × length (l)
==>The prism on top has:
l = 3m
w = 8-3 = 5m
h = 6m
Volume (V1) = 3*5*6 = 90m³
==>The prism beneath has:
l = 8m
w = 5m
h = 5m
Volume (V2) = 8*5*5 = 200m³
Volume of the composite figure = V1 + V2 = 90+200 = 290 m³
A bag contains 5 red marbles, 2 blue marbles, and 3 green marbles what is the probability of drawing a green marble
Answer:
Hey there!
Total marbles= 5+2+3=10
Green marbles= 3
3/10=30%
Hope this helps :)
I really need HELP PLEASE
Answer:
A. I and II, only
Step-by-step explanation:
y = x
Switch variables.
x = y
y = 1/x
Switch variables.
x = 1/y
1/x = y
y = x²
Switch variables.
x = y²
±√x = y
y = x³
Switch variables.
x = y³
∛x = y
The value of the digit 2 in 425.3 is
The place value of 2 in 425.3 is tens of 20.
What is place value?The value a digit in a number represents based on where it is in the number is known as place value. The place value of 7, for instance, is 700 or 7 hundred.
Given digit:
425.3
Write the number as shown below,
425.3 = 400 + 20 + 5 + 0.3
As you can see, the 2 is attached to the tens place,
Therefore, the place value of 2 in 425.3 is tens of 20.
To know more about place value:
https://brainly.com/question/1110759
#SPJ6
ABCD is a parallelogram. m∠x = ° m∠y = ° m∠z = °
Answer:
m∠x = 63
m∠y = 45
m∠z = 72
Answer:
m∠x = 63
m∠y = 45
m∠z = 72
Step-by-step explanation:
plato
Find the angle of one interior angle in this regular polygon, round your answer to the nearest tenth if possible.
Answer:
147.3°
Step-by-step explanation:
Step 1: Find the sum of all interior angles
180(n - 2)
n = 11
180(11 - 2)
180(9)
1620°
Step 2: Find 1 angle
1620/11 = 147.273°
Answer:
144 or 140
Step-by-step explanation:
If you meant round to the nearest ten it would be 140
In rectangle ABCD what are the values of y and z?
A y = 5; z = 55
B y = 5; Z = 5
C y = 35; z = 55
D y = 55; z = 5
Answer:
The answer is option A.
∆BDC is a right angled triangle
Angles in a triangle add up to 180°
That's
z + 35 + 90 = 180°
z = 180 - 35 - 90
z = 55°
Alternate angles are equal
Angle DBC = Angle BDA
That's
35 = 7y
Divide both sides by 7
y = 5
y = 5 z = 55
Hope this helps you
can someone please help?
Which number line represents the solutions to –2|x| = –6?
Answer:
D. the last one with dots on -3 and 3
Step-by-step explanation:
-2|x| = -6
divide each side by -2
|x| = 3
x = -3 or 3
A factory packed 9600kg of flour in to small bags and large bags. Each small bag contained 3kg of flour and each large bag contained 5kg of flour. 2040 small bags were packed. How many large bags of flour were packed?
Answer:
696 large bags of flour were packed.
Step-by-step explanation:
Let large bags of flour be 'y'
Let small bags of flour be 'x'. That is x=2040 (according to the question)
[tex](3 \times x) + (5 \times y) = 9600[/tex]
[tex](3 \times 2040) + ( 5 \times y) = 9600[/tex]
[tex](6120) + (5 \times x) = 9600[/tex]
[tex](5 \times x) = 9600 - 6120[/tex]
[tex](5 \times x) = 3480[/tex]
[tex]x = 3480 \div 5[/tex]
[tex]x = 696[/tex]
HOPE IT HELPS
#PEACE
Graph the line with: a slope of 4/5 through the origin.
Answer:
y = 4/5x
Step-by-step explanation:
We have a slope of 4/5 and a point of (0,0)
Using the slope intercept form of a line
y = mx+b
y = 4/5 x +b
Substituting the point into the equation
0 = -1/2(0) +b
0 = 0+b
0 = b
The equation of the line is
y = 4/5x+0
Will give BRANLIEST PLEASE HELP
Answer: n=6
Step-by-step explanation:
To solve this proportion, you solve this as you would any proportion. You would have to first cross multiply.
[tex]\frac{1}{5}(15)=\frac{1}{2}n[/tex]
[tex]3=\frac{1}2}n[/tex] [multiply both sides by 2]
[tex]n=6[/tex]
the diagram shows a 5cm x 5cm x 5cm cube calculate the length of the diagonal AB give your answer correct to 1 decimal place
Answer:
√3 * 5 = 5√3 cm
Step-by-step explanation:
→ ABCDEFGH is a cube.
→ CF = Diagonal of cube.
→ CH = Diagonal of Base Face BCDH.
→ Let the side of Each cube = a.
Than,
in Right ∆CFH, By Pythagoras Theoram, we have,
→ CH² + FH² = CF² --------- Equation (1)
and, Similarly, in Right ∆CDH ,
→ CD² + DH² = CH² ------- Equation (2).
Putting Value of Equation (2) in Equation (1), we get,
→ (CD² + DH²) + FH² = CF²
→ a² + a² + a² = CF²
→ CF² = 3a²
→ CF = √3a .
Hence, we can say That Diagonal of a cube is √3 times of its sides.
__________________
Given:-
Side of cube = 5cm.
So,
→ Diagonal of cube = √3 * 5 = 5√3 cm. (Ans.)
The length of a rectangle is 5 feet less than 3 times its width. A. Write a rule for the area A as a function of the width w. B. What is the area of the rectangle when its width is 2 feet?
Answer:
A. A = (3w - 5) * w
B. 2 feet squared
Explanation:
A. The length is 5 less than 3 times the width. To write the rule for this, you’d subtract 5 from 3 times the width (3w - 5). The area is the length times the width so the rule would be:
A = (3w - 5) * w
——————————
B. Plug in 2 for w using the given rule.
A = (3[2] - 5) * (2)
Distribute
(6 - 5) * 2
Subtract 5 from 6
1 * 2 = 2
The answer is 2 feet squared since this is area.
In a multipack of crisps there are 6 salt and vinegar, 9 ready salted and 6 cheese and onion. Write the ratio of salt & vinegar : ready salted : cheese and onion in its simplest form.
Answer:
salt & vinegar : ready salted : cheese and onion
2 3 2
Step-by-step explanation:
salt & vinegar : ready salted : cheese and onion
6 9 6
Divide each by 3
salt & vinegar : ready salted : cheese and onion
6 /3 9/3 6/3
2 3 2
Answer:
2:3:2
Step-by-step explanation:
Salt and Vinegar: 6
Ready Salted: 9
Cheese and Onion: 6
Put numbers in for the corresponding type:
Salt and Vinegar : Ready Salted : Cheese and Onion
6:9:6
All numbers share a common factor of 3.
Divide all the numbers by 3 to find simplest form.
2:3:2
Nina and Ryan each ran at a constant speed for a 100-meter race. Each runner’s distance for the same section of the race is displayed on the left. Who had a head start, and how big was the head start? ________had a head start of _________ meter
Answer:
ryan had a head start of 10 meters.
Step-by-step explanation:
Answer:
A) Ryan
B) 10
Step-by-step explanation:
solve simple maths question...
Answer:
1) (-1,4)
2) (3,-2)
3) (4,1)
4) (3,0)
Step-by-step explanation:
Half the distance between the different coordinates, ignoring the coordinates that are the same between both points. (1,0) and (5,0) become (3,0) because 5-1=4 and 4/2 = 2 and 1+2=3.
Hope this helps <3
Answer:
Step-by-step explanation:
An airline charges an extra fee if a carry-on bag weighs more than 30 pounds. After packing, Lorrie’s carry-on weighs 21.2 pounds. The inequality represents the amount of weight Lorrie can add to the carry-on without going over the 30-pound limit. 21.2 + w less-than-or-equal-to 30 How much weight can Lorrie add to the carry-on without going over the 30-pound limit? less than 8.8 pounds more than 8.8 pounds no less than 8.8 pounds no more than 8.8 pounds
Answer:
No more than 8.8 lb
Step-by-step explanation:
21.2 + w ≤ 30
Subtract 21.2 from each side
w ≤ 8.8
Lorrie can add no more than 8.8 lb.
Answer:
no more then 8.8
Step-by-step explanation:
tell me if i am right or wrong plz
Hi, I’m really confused if anyone could help me out that would mean a lot?:)
Hey there! :)
Answer:
a) 32 sticks.
b) 5n + 2 sticks.
Step-by-step explanation:
Solve this by finding the pattern.
Pattern # 1 = 7 sticks.
Pattern #2 = 12 sticks
Pattern #3 = 17 sticks.
We can see an increase of 5 sticks within each. We can use this to write an equation:
f(n) = 7 + 5(n-1)
***Where n is the term number
You can simplify the equation to become:
f(n) = 7 + 5n - 5
f(n) = 5n + 2.
Use this equation to solve for pattern # 6:
f(6) = 7 + 5(n-1)
f(6) = 7 + 5(5)
f(6) = 7 + 25
f(6) = 32.