Answer:
I cant help unless i have workable units (0.5) is not a point
but im guessing that you were trying to say (0,5) in which case its
7.07106781187
its a triangle
5 on one side
5 on the other
solve for the hypotenuse
hypotenuse = [tex]\sqrt{50}[/tex]
hypotenuse = 7.07106781187
I hope this helps!
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
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
A box has dimensions of 19 inches long, 1.7 feet wide, and 6 inches high. What is the volume of the box? The formula for the volume is V = l ⋅ w ⋅ h.
Answer:
Volume= l x w x h
Volume= 19 x 1.7 x 6
=193.8
1.7 feet to inches, 20.4 inches * 19 inches * 6 inches = 2,325.6cubic in, or 16.15 cubic feet
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.
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!
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
Will Mark as Brainliest. Answer Correctly
Answer:
a = 2
Step-by-step explanation:
Here, we want to get the value of a
From the remainder theorem, if we the divisor to zero and get a value for the variable, then substitute this value into the polynomial, the result we have is the remainder
So;
set x + 1 = 0 ; and x = -1
substitute this into the polynomial
(-1)^3 + 2(-1)^2 -5(a)(-1) -7
= -1 + 2 + 5a -7 = 5a -6
For the second;
set x -2 = 0; x = 2
Substitute in the second polynomial;
2^3 + a(2)^2 -12(2) + 6
= 8 + 4a -24 + 6 = 4a -10
So therefore;
2(5a-6) + 4a - 10 = 6
10a-12 + 4a -10 = 6
10a + 4a -22 = 6
14a = 6 + 22
14a = 28
a = 28/14
a = 2
What is the number of possible outcomes in the sample space formed by rolling a dice and flipping 2 coins?
Answer:
24
Step-by-step explanation:
6 sides on die
2 sides on each coin
6 x 2 x 2 = 24
A number p is greater than or equal to –17.
How do I find the answer?
Answer:
You're answer has be written as an inequality, therefore it would be;
=> p ≥ -17
Hope this helps!
Answer:
p is less than -17
Step-by-step explanation:
The inequality that can be used for this is p+5 <17. The reason is because you have to read the question very carefully. They try to trick you. I would underline five more than a number p is less than 17. This helps you because now when you think of 5 more than you think of addition. Which would be p+5. Then, this number is less than 17. So it would be p+5<17. For the solution, you would subtract 5 from both sides. Why? That way it frees up and you are left with p. Since that is all you want. Then, once you do that your solution should be p<12. Since that is what you will be left with.
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
angle marked in the diagram beside are measured in degree find x
Answer:
x = 4.8
Step-by-step explanation:
2x + 3x + 3x + 2x + 5x = 15x
exterior angles always add up to 360 degrees
360 /5 = 72
72 / 15x = 4.8
x = 4.8
hope it helps!!
Step-by-step explanation:
the answer is in the image above
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!
Can someone actually help me please?
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.
Let p: x < -3 let q: x > 3 What is represented by p v q
The manufacturer price was $50. The customer purchased the item for $200. What percent of the original price did the customer pay?
Answer:
400%
Step-by-step explanation:
the question is asking what percent of 50 is 200
we can set up this proportion to find 'x' (the original price)
200/50 = x/100
cross-multiply to get:
50x = 20,000
x = 400%
α
34°
Help me ASAP Thxx
Answer:
a=146°
Step-by-step explanation:
a+34 =180 degree (being linear pair
a=180-34
a=146 degree
Note: A linear pair is a pair of adjacent angles formed when two lines intersect.
The estimated total,costs,y, of a child's toy is practally based on the number of batteries used x.The cost of one battery is 0.75. The toy itself cost 12$.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
(a) Write down the gradient of the line with equation y = 7 - 4x The line L passes through the points with coordinates (- 3, 1) and (2, - 2)
Note: Let us consider, we need to find the gradient of line L.
Given:
The given equation of a line is:
[tex]y=7-4x[/tex]
The line L passes through the points with coordinates (- 3, 1) and (2, - 2).
To find:
The gradient of the given line and the gradient of line L.
Solution:
Slope intercept form of a line is:
[tex]y=mx+b[/tex] ...(i)
We have,
[tex]y=7-4x[/tex] ...(ii)
On comparing (i) and (ii), we get
[tex]m=-4[/tex]
Therefore, the gradient of the given line is -4.
The line L passes through the points with coordinates (- 3, 1) and (2, - 2). So, the gradient of line L is:
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\dfrac{-2-1}{2-(-3)}[/tex]
[tex]m=\dfrac{-3}{2+3}[/tex]
[tex]m=\dfrac{-3}{5}[/tex]
Therefore, the gradient of the line L is [tex]\dfrac{-3}{5}[/tex].
Alex invests £4000 for 7 years.
His investment pays compound interest of x% per annum.
At the end of the 7 years Alex’s investment is worth £5263.73
Work out the value of x
Answer:
Step-by-step explanation:
Use the equation
[tex]A(t)=P(1+r)^t[/tex] and fill it in using the info we were given:
[tex]5263.73=4000(1+r)^7[/tex] Begin by dividing both sides by 4000 to get
[tex]1.3159325=(1+r)^7[/tex] and take the 7th root of both sides to "undo" that 7th power on the right. Doing that gives us
1.04 = 1 + r so
.04 = r and the interest rate is 4%
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 a class 30 students,20 students like to play cricket and 15 like to play valleyball. Also each student like to play at least one of the two game. How many students like to play both games?illustrate in ven- diagram
Answer:
Well we add together 20+15 which is 35 which is 5 over the 30 in the class so that means out of the 30 students 5 of them like both games
Hope This Helps
Step-by-step explanation:
In a class 30 students
20 like to play cricket
15like to play volleyball
Tumhara questions galat hai
ab + 4 + a + 4b
pls help if u can.
Answer:
(1+b)(a+4)
Step-by-step explanation:
If 70 increased to 100 by what percent did it increase?
Answer:
I'm pretty sure it's 30 but I'm not 100% sure.
Answer:
30%
Step-by-step explanation:
70+30=100!
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?
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 the diagram BC = 9. find AB and AC.
Answer:
where's the diagram can you tell
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
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
