Answer:
In picture
Step-by-step explanation:
I hope I understand the question, and hope this is what your teacher wants.
Please give brainliest if it is the answer you need, thanks!
Write a system of equations that can be solved to find the number of packets of strawberry wafers and the number of packets of chocolate wafers that Devon and his friends bought at the carnival. Define the variables used in the equations.
Answer:
x = number of packets of strawberry wafers = 4 packets
y = number of packets of chocolate wafers = 18 packets
Step-by-step explanation:
Devon and his friends bought strawberry wafers for $3 per packet and chocolate wafers for $1 per packet at a carnival. They spent a total of $30 to buy a total of 22 packets of wafers of the two varieties.
Part A: Write a system of equations that can be solved to find the number of packets of strawberry wafers and the number of packets of chocolate wafers that Devon and his friends bought at the carnival. Define the variables used in the equations. (5 points)
Part B: How many packets of chocolate wafers and strawberry wafers did they buy? Explain how you got the answer and why you selected a particular method to get the answer. (5 points)
A.
Let
x = number of packets of strawberry wafers
y = number of packets of chocolate wafers
x + y = 22
3x + y = 30
B. Solve the equation in A using elimination method
x + y = 22 (1)
3x + y = 30 (2)
subtract (1) from (2) to eliminate y
3x - x = 30 - 22
2x = 8
x = 8/2
x = 4
Substitute x = 4 into (1) to solve for y
x + y = 22 (1)
4 + y = 22
y = 22 - 4
y = 18
x = number of packets of strawberry wafers = 4 packets
y = number of packets of chocolate wafers = 18 packets
Which of the following is least likely to be an advantage of scientific models?
They can precisely replicate any scientific theory or law.
They can be used to help scientists formulate and improve hypotheses.
They can be used to visually represent objects that are very small or very large.
They can be used to simplify complex concepts so that they are better understood.
Answer:
send one
the second one boi
Step-by-step explanation:
pls help
Which represents the polynomial written in standard form? 4m – 2m4 – 6m2 + 9 9 + 4m + 2m4 – 6m2 2m4 – 6m2 – 4m + 9 9 – 6m2 + 4m – 2m4 –2m4 – 6m2 + 4m + 9
Answer:
[tex]- 2m^4 - 6m^2 + 4m + 9[/tex]
Step-by-step explanation:
Given
[tex]4m - 2m^4 - 6m^2 + 9[/tex]
Required
Express in standard form
To do this, we simply reorder the terms of the polynomial in descending order of power.
So, we have:
[tex]- 2m^4 - 6m^2 + 4m + 9[/tex]
Answer:
D
Step-by-step explanation:
The dimensions of Mr. Tai’s living room are 10 feet by 18 feet by 8 feet and the dimensions of his family room are 14 feet x by 20 feet by 8 feet. What is the total volume, in cubic feet, of the two rooms?
Answer:
3,680 cubic feet
Step-by-step explanation:
The volume of a rectangular prism is:
length x width x height
Rooms are in the shape of a rectangular prism, so the figure we are gonna tind the volume of is a prism.
The volume of Mr. Tai’s living room is:
10 x 18 x 8 = 1,440 cubic feet
The volume of his family room is:
14 x 20 x 8 = 2,240 cubic feet
Add the volumes of both figures:
1,440 + 2,240 = 3,680
Hope this helps!
Which expression is equivalent to 4x2 - 4x – 3 in factored form?
Answer:
(2x-3)(2x+1)
Step-by-step explanation:
4x^2 - 4x - 3
we need two numbers that give 12 when multiplied and 4 when subtracted
the numbers are 6 and 2 because 6*2=12 and 6-4=4.
4x^2 - (6-2)x -3
4x^2 -6x +2x -3
take common
2x(2x -3)+1(2x-3)
take (2x-3) as common
(2x-3)(2x*1 + 1*1)
(2x-3)(2x+1)
in the given figure pt is the bisector of angle qpr. qs=3x, rs=2x+2, pq=3y-1 and pr=y+5
1)solve the measure of rs
2)solve the measure of rq
3)solve the measure of pq
4)solve the measure of pr
5)solve the measure of pqsr
Answer:
See solutions below
Step-by-step explanation:
1) From the diagram QS = RS
3x = 2x+2
3x-2x = 2
x = 2
Since RS = 2x+2
RS = 2(2)+2
RS = 4 + 2
RS = 6
2) RQ = RS + QS
RQ = 2x+2 + 3x
RQ = 5x+2
RQ = 5(2)+2
RQ = 12
3) PQ = PR
3y-1 = y+5
3y-y = 5+1
2y = 6
y = 3
PQ = 3y-1
PQ = 3(3)-1
PQ = 8
4) PR = y+5
PR = 3+5
PR = 8
5) PQSR = PQ + QR
PQSR = 8 + 12
PQSR= 20
If the suspect is found guilty, then he will go to prison.
Which of the following is a logically equivalent statement to the conditional statement above?
If the suspect does not go to prison, then he was not found guilty.
If the suspect goes to prison, then he was found guilty.
If the suspect is not found guilty, then he will not go to prison.
If the suspect is not found guilty, then he will go to prison.
Answer:
If the suspect goes to prison, then he was found guilty.
Step-by-step explanation:
Means the same thing. If you guilty, you get the jail time. Same thing as before. The only other one it could be is the first one. But you could argue that one.
The function p(x) represents the number of bacteria in culture after x days. What does p(6) represent
Answer: p(6) represents how the number of bacteria after 6 days.
Simply replace each x with 6 to go from the first sentence to the answer shown in bold above.
Simplify the expression
(X^3+12x^2+36x)+(-18x^2-40x+45)
α
34°
Help me ASAP Thxx
Answer:
a=146°
Step-by-step explanation:
a+34 =180 degree (being linear pair
a=180-34
a=146 degree
Note: A linear pair is a pair of adjacent angles formed when two lines intersect.
Line u has a slope of
-2/5 is parallel to line u. What is the slope of line v?
Answer:
-2/5
Step-by-step explanation:
The slope will be same , that is -2/5 .
What is an equation of the line that passes through the points (6,-6) and (-2,-2)
Answer:
[tex]y=-\frac{1}{2}x-3[/tex]
Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)
1) Determine the slope (m)
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where the two given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]
Plug in the given points (6,-6) and (-2,-2)
[tex]=\frac{-2-(-6)}{-2-6}\\=\frac{-2+6}{-2-6}\\=\frac{4}{-8}\\=-\frac{1}{2}[/tex]
Therefore, the slope of the line is [tex]-\frac{1}{2}[/tex]. Plug this into [tex]y=mx+b[/tex]:
[tex]y=-\frac{1}{2}x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=-\frac{1}{2}x+b[/tex]
Plug in one of the given points and solve for b
[tex]-6=-\frac{1}{2}(6)+b\\-6=-3+b[/tex]
Add 3 to both sides
[tex]-6+3=-3+b+3\\-3=b[/tex]
Therefore, the y-intercept of the line is -3. Plug this back into [tex]y=-\frac{1}{2}x+b[/tex]:
[tex]y=-\frac{1}{2}x-3[/tex]
I hope this helps!
Brian pays £465.98 a year on his car insurance.
The insurance company reduces the price by 3.6%.
How much does the insurance cost now?
Give your answer rounded to 2 DP.
Answer:
ok so if he pays 465.98 and we want to find the price if we reduce it by 3.6 we can multiple it by
465.98*0.964=
449.20472
so now we round to two points to get
449.21
In which choice do all three points lie on the same straight line?
A (0, 1), (–1, 3), (1, 3)
B (4, 2), (2, 1), (4, –2)
C (0, 0), (8, 0), (0, 8)
D (1, 2), (2, 4), (4, 8)
Answer:
D
Step-by-step explanation:
we'll use the complex number system to solve this exercice
the coordinates of the last triplet are : (1,2) , (2,4) and (4,8) The affixes are then
[tex]1 + 2i = a \\2 + 4i= b = 2a \\4+8i = c = 2b = 4a[/tex]
for the points to be aligned the fraction [tex]\frac{c-a}{b-a}[/tex] should be a real number
[tex]\frac{c-a}{b-a} = \frac{4a-a}{2a-a} = \frac{3a}{a} = 3[/tex]
so the points are aligned
Answer:
D (1, 2), (2, 4), (4, 8)
Step-by-step explanation:
Hope this helps
Amanda bought 40 books. Amanda bought 8 times as many books as Hong. Let b be the number of books that Hong bought.
(a) Write an equation that relates the number of books that they bought.
Use 8, b, and 40.
40 = b x 8
(b) Find b.
Answer:
the anser is 40/8 that is 5
in the diagram BC = 9. find AB and AC.
Answer:
where's the diagram can you tell
The manufacturer price was $50. The customer purchased the item for $200. What percent of the original price did the customer pay?
Answer:
400%
Step-by-step explanation:
the question is asking what percent of 50 is 200
we can set up this proportion to find 'x' (the original price)
200/50 = x/100
cross-multiply to get:
50x = 20,000
x = 400%
Let p: x < -3 let q: x > 3 What is represented by p v q
is this a reasonable estimate? Why?
Answer:
See below.
Step-by-step explanation:
No, a reasonable estimate is around 7 * 6 = 42.
Round $6.99 to $7 and multiply by the 6 family members.
Which values are solutions to the inequality below? Check all that apply
sqrt(x) < 13
A. 26
b. 251
C. 28561
d.170
e. 1
F. 15
Answer:
A, E, F
Step-by-step explanation:
With this question, it's mostly just trial and error.
[tex]\sqrt{26}[/tex]<13 can be converted to 5.09901951<13, which is true.
[tex]\sqrt{251}[/tex]<13 can be converted to 15.8429795<13, which is false.
[tex]\sqrt{28561}[/tex]<13 can be converted to 169<13, which is false.
[tex]\sqrt{170}[/tex]<13 can be converted to 13.0384048<13, which is false.
[tex]\sqrt{1}[/tex]<13 can be converted to 1<13, which is true.
[tex]\sqrt{15}[/tex]<13 can be converted to 3.87298335<13, which is true.
Therefore, A, E and F are true.
**This question involves using inequalities and converting surds to numbers/decimals, which you may want to practice. I'm always happy to help!
Translate the phrase into an algebraic expression.
The sum of 6 and c
Answer:
6+c
Step-by-step explanation:
sum means to add
6+c
ab + 4 + a + 4b
pls help if u can.
Answer:
(1+b)(a+4)
Step-by-step explanation:
PLEASE PLEASE ANSWER I NEED TO PASS!!!!
GameStop was selling Ps5’s. They sold 100. They sold each ps5 for 500. But they got ps5’s on discount $30 off from each GameStop. So they bought the Ps5s for $470 but they sold them to the customers for more. How much did they collect/make? How much were their expenses? How much was their profit?
Tori bought 6 pounds of sugar. She wants to divide the
sugar in bags that weigh 1/5 pound each. How many bags
of sugar will Tori make?
PLEASE ANSWER
Answer:
Pretty sure its 30
Step-by-step explanation:
Hope this helps!
The measures of two exterior angles of a decagon are 97° and 89°. What is the sum of the remaining exterior angles?
Answer:
the sum of the remaining exterior angles is 174⁰
Step-by-step explanation:
Given;
the measure of two exterior angles of a decagon = 97° and 89°
The total sum of exterior angles of a polygon is 360⁰
let the sum of the remaining exterior angles = x
sum of the given exterior angles = 97⁰ + 89⁰ = 186⁰
x + 186⁰ = 360⁰
x = 360⁰ - 186⁰
x = 174⁰
Therefore, the sum of the remaining exterior angles is 174⁰
The estimated total,costs,y, of a child's toy is practally based on the number of batteries used x.The cost of one battery is 0.75. The toy itself cost 12$.Which equation represents the situation
Answer:
y = 0.75x + 12
Step-by-step explanation:
The estimated total cost, y, of a child's toy is partially based on the number 1 point of batteries used, x. The cost of one battery is $0.75. The toy itself costs $12. Which equation represents the situation?
y = 12x + 0.75
y = 0.75x + 12
y = 12x − (775
y = 0.75x − 12
y = total cost of a child's toy
Cost of each battery = $0.75
Number of batteries = x
Cost of the toy = $12
Therefore,
total cost of a child's toy = Cost of the toy + Cost of each battery * Number of batteries
y = 12 + 0.75 * x
y = 12 + 0.75x
y = 0.75x + 12
Determine the value of x in this polygon.
(6x + 3)
(x + 12.5)°
(2x + 8)
Answer:
x = 23.5
Step-by-step explanation:
For a trapezoid, the angles on the same side are supplementary. This simply mean they add up to 180 degrees
thus, we have it that;
(6x + 3) + (x + 12.5) = 180
6x + x + 3 + 12.5 = 180
7x + 15.5 = 180
7x = 180-15.5
7x = 164.5
x = 164.5/7
x = 23.5
Solve for X
PLEASEEEEE HELPPPP
Answer:
ok from this we know the angle of this triange are
90+47+x=180
x=43
with these if we use the proper formula we know that the two other sides are
about 21 and 23
since the top side is longer we know that X=23
5 2/3 divided by 3 1/9?
Answer:
1.82142857143 or 1 23/28
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
51/28 or 1 23/28
Step-by-step explanation:
The LCD here is 9. Rewrite 5 2/3 first as 17/3, and then multiply numerator and denominator both by 3, obtaining the equivalent 51/9.
Then divide 51/9 by 28/9: Equivalently, invert the divisor (28/9) and multiply:
(51/9)(9/28) = 51/28 or 1 23/28
5 2/3 divided by 3 1/9 is 1 23/28.