A box of candy contains three times as many cherry pieces. It hasfour more grape pieces than cherry pieces. There are 46 total pieces in the box. How many cherry pieces are in the box
Answer:
The number of cheery pieces in the box are [tex]18[/tex].
Step-by-step explanation:
Let the number of orange pieces in the box be [tex]x[/tex].
The box contains three times as many cherry pieces as orange pieces.
So, the number of cherry pieces in the box be [tex]3x[/tex].
It has four more grape pieces than cherry pieces.
So, the number of grape pieces in the box be [tex]3x+4[/tex].
There are [tex]46[/tex] total pieces in the box.
So, [tex]x+3x+3x+4=46[/tex]
[tex]\Rightarrow 7x+4=46[/tex]
[tex]\Rightarrow 7x=46-4[/tex]
[tex]\Rightarrow 7x=42[/tex]
[tex]\Rightarrow x=\frac{42}{7}[/tex]
[tex]\Rightarrow x=6[/tex]
So, the number of cherry pieces [tex]=3x=3\times 6=18[/tex].
Hence, the number of cheery pieces in the box are [tex]18[/tex].
Is it possible to find a value of $x$ so that the value of the surface area (in square inches) is equal to the value of the volume (in cubic inches)?
If possible, what is the value of $x$ ?
Write an equation to justify your answer.
The box has volume
11 in × 3 in × x in = 33x in³
and surface area
2 (11 in × 3 in + 11 in × x in + 3 in × x in) = (66 + 28x) in²
The volume and area have the same value if
33x = 66 + 28x
Solve this equation for x :
33x - 28x = 66
5x = 66
x = 66/5 = 13.2
If 5 is added to the square of a number, the result is 30. Find all such numbers,
Answer:
5, -5
Step-by-step explanation:
We have the problem x^2+5=30
Same to both sides
x^2=25
And 25 is a perfect square, x = 5
BUUUUUUUT..........
x could also equal to -5 because no numbers that are squared can be negative
Confused?
Squaring a number means doing the number multiplied by itself
A negative multiplied by a negative equals a positive
A positive multiplied by a positive equals a positive
Under no circumstances can something squared be a negative number
-5*-5 also equals 25.
So those are your two numbers
Let me know if you have any questions
Solve the system of equations by using substitution.
y = 2x – 3
y = x+4
Answer:
point form=7,11 x= 7,y =11
Step-by-step explanation:
Answer:
Step-by-step explanation:
y=2x-3
y=x+4
2x-3=x+4
2x-x=4+3
x=7
y=7+4=11
What is the simple interest on $4,500 for 2 and a half years at 4% per year?
Answer:
450
Step-by-step explanation:
Answer:
450
Step-by-step explanation:
I just took the quiz and got it right, hope this helps :)
271 divided by 3 equals 93. 6 thousand 38 divided by 6 equals 1 thousand 73. 953 divided by 7 equals 136 R 1. 5 thousand 608 divided by 8 equals 71. 2 thousand 683 divided by 4 equals 67 R 3. witch is correct?
Answer:
6 thousand 438 divided by 6 equals 1 thousand 73
953 divided by 7 equals 136 R 1
Step-by-step explanation:
Computation for the equations that are correct
Based on the information given the equations that are correct are:
6 thousand 438 divided by 6 equals 1 thousand 73 which is written as 6,438/6=1073 will be calculated using this formula
Numerator/Denominator
Where,
Numerator=6,438
Denominator=6
Let plug in the formula
6,438/6
=1,083
953 divided by 7 equals 136 R 1 which is written as 953/7= 136.1 is calculated using this formula
Numerator/Denominator
Where,
Numerator=953
Denominator=7
Let plug in the formula
953/7
=136.1
Therefore the equations that are correct are :
6 thousand 438 divided by 6 equals 1 thousand 73 and 953 divided by 7 equals 136 R 1
Graph the line with slope of 5/3 and goes through the point (2,1).
Answer: ^^ good luck
just follow what they say. graph (2,1). rise over run, so up 5 and to the right 3.
Answer:
This is the correct answer the guy above plotted it wrong!
The yellow line is the correct plot!
1 What is the RANGE for the following graph?
25 POINTS PLS HELP
Answer:
1 ≤ x ≤ 5
Step-by-step explanation:
A circular field has arey 144001 square feet.
What is the radius of the field?
Answer:
about 214.1
Step-by-step explanation:
Since pi r squared is the formula for a circle's area, you would do the opposite. First, you would divide 144001 by pi which is about 45,836.94. Then, you would find the square root of that which is about 214.1.
Please answer (*´∇`*)
Write the phrase as an expression.
the product of a number x and five
Answer:
5x
product means muliply so 5 times x
Help plz I need help i have no idea what to do
Answer:
the answer will be 15 number D
Answer:
x = 15 (D)
Step-by-step explanation:
First, we distribute the -1/2:
-1/2 x x = -1/2x
-1/2 x 5 = -2.5
Now we have -1/2x + (-2.5) = -10
Move the variables to one side and the regular numbers on the other (in other words, subtracting both sides by -2.5:
-1/2x = -10 + 2.5
-1/2x = -7.5
x = -7.5/(-1/2)
x = 15 (D)
what's the place value of the 1 in 352.01
Answer:
100ths place
Step-by-step explanation:
Please help! Quickly!!!!
Answer:
72, 48
Step-by-step explanation:
Each segment would be worth 12 hours. 6*12 is 72, 4*12 is 48. 72+48 is 120.
What is each percent of change? Round to the nearest whole percent if
necessary. Is the percent of change an increase or decrease? 30 to 90.*
Answer:
Its an increase
30 to 90
I= 100 x (f-i)/i
I= 100 x 90-30/30
I= 100 x 2
200% increase
please help me on this will give you brainliest
Answer:9,000,000 + 60,000 + 400
Step-by-step explanation:
f(x) = sqrt(- 2x) Determine for each value whether it is in the domain of f or not.
Answer:
only -2 is in the domain
Step-by-step explanation:
For negative values under the sqrt, there is no real answer, hence
-2x ≥ 0
only for x=-2 this is the case.
The domain represents all the valid input values for x.
Pls Helppp will give brainliest if u answer correct
Drag and drop the numbers to order them from least to greatest.
Answer: -5.042, -5 1/20, 5 3/7, 5.48
Step-by-step explanation:
Write the mixed fractions as decimals and calculate from there
Answer:
-5 1/20 -5.042 5 3/7 5.48
Step-by-step explanation:
Hope this helps
Really confused on this.
Answer:
it is C.
Step-by-step explanation:
trust me, i dont have time to expln how, it jst is
Answer:
B
Step-by-step explanation:
Lets look at A. In A, It says 0.510 is greater than 0.510. That is not true becuase both are equal. A is false.
Lets look at B. In B, it says 0.501 is less that 0.510. This is true. 501 is less than 510. B is true.
Lets look at C. In C, it says 0.061 is greater than 0.510. This is not true becuase 61 is not greater than 510. C is false.
Lets look at D. In B, it says that 0.500 is greater than 0.510. This is not true becuase 500 is less than 510. D is false.
B is the correct answer. I hope this helps! Let me know if I got something wrong so I can fix it.
Help me please (the problem is in the photo)
On a coordinate plane, Point C is at (-3,5) and Point D is at (4,9). What is the distance from point C to point D?
Answer:
5[tex]\sqrt[\\]{3} \\[/tex] or about 8.66
Step-by-step explanation:
To find the distance of any line, you have to use distance formula.
[tex]\sqrt{(y-y_{1} )^{2} + (x-x_{1} )^{2}[/tex]
So, we insert our points:
[tex]\sqrt{(5-9 )^{2} + (-3-4 )^{2}[/tex]
Then you solve, and should end up with [tex]\sqrt{75}[/tex]. Either you can simplify it for an exact number, or you can round. It depends on what the directions ask for.
Tom is applying for a visa.
He has to pay £2,300 for the visa as well as a 7% charge on the visa price for an on-the-day service.
If Tom has 1 year to save, how much money should he save per month to be able to cover his costs?
Round your answer to the nearest £10
Answer:
£210
Step-by-step explanation:
Given that :
Visa cost = £2300
7% charge of visa price = (0.07 * £2300) = £161
Total cost = £(161 + 2300) = £2461
Amount to be saved per month = £2461 / 12 = £205.08333
= £210 (nearest £10)
In a right triangle, if a = 8in and c = 14in, what is b? Round to three decimal places.
Answer:
11.49
Step-by-step explanation:
If A=8
And C=14 then
Ace makes an 8% commission on any artwork that he sells. If he sells $125 wroth of artwork, how much commission does he get.
I will give brainly
Answer:
10
Step-by-step explanation:
125 x .08 = 10
Find the gradient of the straiht line with the equations1.2(3y+4x)=6 ,2.5(y-3x)=10-5x 3.3y-1/2x=7. 4.1/4x-1/3y=1. 5.3y=2x/3+4
Answer:
Step-by-step explanation:
not sure i thinks is 1
. Lisa takes a 3,014 mile long trip. She has already traveled 95 miles. She has 7 days left in her trip. How many miles does she need to travel each day to complete the trip?
Answer:
Lisa would travel 417 miles a day.
Step-by-step explanation:
subtract 3,014 - 95 = 2, 919
Then divide 2, 919 / 7 = 417
Help Please with these 2!
Thank you!
Answer:
if you multiply the denominator by the AB^3 by 7 you wll get your common factor
Step-by-step explanation:
Step-by-step explanation:
Question 15:
5(x - 9) - 2(x + 3)
= (5)(x) + (5)(-9) - (2)(x) - (2)(3)
= 5x - 45 - 2x - 6
= 3x - 51
= 3(x - 17).
Question 16:
The terms 36x, 18y and 9 have GCF of 9.
Hence 36x - 18y + 9 = 9(4x - 2y + 1).
What is the slope of the line with points (-3,0) and (3, 2)?
Answer: slope equals 2/6 =1/3= 0.33333
Step-by-step explanation:
Answer:
The slope of the line with points (-3,0) and (3, 2) is:
m = 1/3Step-by-step explanation:
Given the points
(-3,0)(3, 2)Determining the slope between (-3,0) and (3, 2)
(x₁, y₁) = (-3,0)
(x₂, y₂) = (3, 2)
Using the formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [2 - 0] / [3 - (-3)]
= 2/6
= 1/3
Thus, the slope of the line with points (-3,0) and (3, 2) is:
m = 1/3I need help with this problem!
Answer:
104
Step-by-step explanation:
100%= 1.00
so
420%= 4.20
Multiply 4.20×20
84
now add the original 20
104. She has 104 boxes in total.
Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!
Answer:
104
Step-by-step explanation:
20 + (20*4) + (20*0.2)
= 20 + 80 + 4
= 104
A pentagon has 5 equivalent sides. If each side is represented by the expression 2k+3, what is the perimeter