Answer:
Step-by-step explanation:
Let
x= Quantity of donuts
y= Quantity of cupcakes
He bought 3 times as many donuts as cupcakes
Donuts=y= 3x
Donuts=0.50 each
Cupcakes=1.00 each
PxQx + PyQy = 10.00
0.50(x) + 1.00(y) = 10.00
0.50x + 1.00(3x)=10.00
0.50x+3.00x=10.00
3.50x=10.00
Divide both sides by 3.50
x=10.00/3.50
=2.86
y=3x
y=3(2.86)
=8.58
Jamal bought 2.86 donuts and 8.58 cupcakes
Check:
PxQx + PyQy = 10.00
0.50(2.86) + 1.00(8.58) = 10.00
1.43 + 8.58=10.00
10.01=10.00
10.01 approximately 10.00
if T is the midpoint of SU, find the values of x and ST
T is the midpoint of the line, meaning that in line SU, line ST and line TU are of equal length, since T is at the middle of the line.
[tex]9x=4x+25[/tex]
[tex]5x=25[/tex]
[tex]x=5[/tex]
[tex]ST=9x[/tex]
[tex]ST=9*5[/tex]
[tex]ST=45[/tex]
Hope this helps. 頑張って!
The number of users of social media has increased significantly since the year 2001. In
fact, the approximate number of users has tripled each year. It was reported that in 2005
there were 3 million users of social media.
a. Assuming the number of users continues to triple each year, for the next three
years, deteriſnine the number of users in 2006, 2007, and 2008. (Hint: write your
answer in exponential form to help you solve the problem.
Exponential notation:
2006:
2007:
2008:
b. Assume the trend in the numbers of users tripling each year was true for all
years from 2001 to 2009. Complete the table below using 2005 as year 1 with 3
million as the number of users that year. (Think about it in negative exponents)
Paul is planning a 303 mile road trip driving his truck that gets about 23 mpg. When he starts out, one gallon of gas costs $3.02. Using front-end estimation, choose which one of the following is the best estimate of the total cost of gas for this trip.
Answer:
45
Step-by-step explanation:
Simplify by combining like terms. Type the terms
in alphabetical order.
-59-2+29-8=
Answer:
Step-by-step explanation:
-59 - 2 + 29 - 8 = -61 + 29 - 8
Here -59 & -2 have same sign, so add both
= -61 - 8 + 29
= - 69 + 29
-69 & 29 have different sign. so subtract and the answer will have the sign of the bigger number
= - 40
find the equation of the line passing through the point (-4,1) and the perpendicular to the line y=1/3x+4
Answer:
The answer is
[tex]y = - 3x - 11[/tex]Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
From the question
[tex]y = \frac{1}{3} x + 4[/tex]Comparing it with the general equation above
Slope / m = 1/3
Since the lines are perpendicular to each other the slope of the other line is the negative inverse of the original line
That's
Slope of perpendicular line = - 3
Equation of the line using point (-4 , 1) and slope - 3 is
[tex]y - 1 = - 3(x + 4) \\ y - 1 = - 3x - 12 \\ y = - 3x - 12 + 1[/tex]We have the final answer as
y = - 3x - 11Hope this helps you
Five and Six please help
Answer:
See Below.
Step-by-step explanation:
5.) A, C
6.) A, B, D
Create a table of points from the equation f(x)=3x2−8x+2.
Answer:
(See explanation below for further details)
Step-by-step explanation:
A second order polynomial (quadratic function) can be well represented with at least three distinct points. Let is take five equidistant different points:
x = 0
[tex]f(0) = 3\cdot (0)^{2}-8\cdot (0) +2[/tex]
[tex]f(0) = 2[/tex]
x = 1
[tex]f(1) = 3\cdot (1)^{2}-8\cdot (1)+2[/tex]
[tex]f(1) = -3[/tex]
x = 2
[tex]f(2) = 3\cdot (2)^{2}-8\cdot (2)+2[/tex]
[tex]f(2) = -2[/tex]
x = 3
[tex]f(3) = 3\cdot (3)^{2}-8\cdot (3)+2[/tex]
[tex]f(3) = 5[/tex]
x = 4
[tex]f(4) = 3\cdot (4)^{2}-8\cdot (4) + 2[/tex]
[tex]f(4) = 18[/tex]
The table of points from the equation [tex]f(x) = 3\cdot x^{2}-8\cdot x +2[/tex] is:
[tex]x[/tex] [tex]f(x)[/tex]
0 2
1 -3
2 -2
3 5
4 18
A graphic of the given function is included below as attachment.
Consider the table for the exponential function, LaTeX: p\left(x\right)=2^xp ( x ) = 2 x, shown below. Calculate the Average Rate of Change between the interval [2, 6].
Answer:
15
Step-by-step explanation:
To find the average rate if change of the exponential function between the interval [2, 6], use the formula, [tex] m = \frac{p(b) - p(a)}{b - a} [/tex]
Where,
[tex] a = 2, p(2) = 4 [/tex]
[tex] b = 6, p(6) = 64 [/tex]
Plug in the above values into the formula:
[tex] m = \frac{64 - 4}{6 - 2} [/tex]
[tex] m = \frac{60}{4} [/tex]
[tex]m = 15[/tex]
Average rate of change is 15
If x = 39, y = 58, and the measure of AC = 4 units, what is the difference in length between segments AB and AD? Round your answer to the nearest hundredth. 0.74 units 1.17 units 1.64 units 2.14 units
Answer:
1.64
Step-by-step explanation:
I'm taking the test rn
The difference in length between segments AB and AD is 1.63935 units.
We have given that,
If x = 39, y = 58, and the measure of AC = 4 units, what is the difference in length between segments AB and AD Round your answer to the nearest hundredth. 0.74 units 1.17 units 1.64 units 2.14 units.
What is the formula for the sign ratio?
[tex]sin(x)=\frac{Opposite \ side}{hypotenuse}[/tex]
sin 39=AC/AB
AB=AC/sin39
=4/sin39
[tex]=6.35606[/tex]
TO FIND AD:
sin 58=AC/AD
AD=AC/sin58
=4/sin58
[tex]=4.71671[/tex]
The is difference between AB and AD is the length
AB-AD=6.35606-4.71671
AB-AD= 1.63935 units
The difference in length between segments AB and AD is 1.63935 units.
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How many integers n are are such that (n + i)^4 is also an integer? I don't know how to solve this equation.
Answer:
n^4+ n^3&i + n^2*i^2 + n*i^3+i^4
Make M the subject of the expression T=WPLM² - (M-S)²
Answer:
The answer is
[tex]M = \sqrt{WPLM^{2} - T } + S[/tex]Step-by-step explanation:
First move (M-S)² to the right side of the equation
That's
(M-S)² = WPLM² - T
Find the square root of both sides
That's
[tex]M-S = \sqrt{WPLM^{2} - T }[/tex]Move S to the right side of the equation to make M stand alone
We have the final answer as
[tex]M = \sqrt{WPLM^{2} - T } + S[/tex]Hope this helps you
If 3x+6=0, what is the value of X+7?
Answer:
5
Step-by-step explanation:
Because 3 x -2 -6 and -6+6=0 so -2+7 has to be 5
The required value of X + 7 is equal to 5.
An expression is given in the question ; i.e., 3x + 6 = 0
We have to find out the value of the 'X + 7'.
What is algebra ?
Algebra is the branch that deals with various symbols and the arithmetic operations such as addition , division , etc.
As per the question ;
The given expression is 3x + 6 = 0
Let's solve it to get the value of x.
i.e.,
3x + 6 = 0
3x = - 6
x = - 2
So ,
The value of X + 7 will be ;
= -2 + 7
= 7 - 2
= 5
Thus , the required value of X + 7 is equal to 5.
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Which proportion could be used to solve
the following problem?
A recipe for sesame chicken calls for
cup of chopped carrots. If the recipe
2
is for 4 servings, how many cups of
carrots are needed for 9 servings?
Answer:
Cups of carrot needed for 9 servings = 4.5 cups
Step-by-step explanation:
A recipe for sesame chicken calls for cup of chopped carrots
recipe 2 is for 4 servings
That is
2 cups of carrot = 4 servings
2 : 4
= 1 : 2
1 cup of carrot = 2 servings
how many cups of
carrots are needed for 9 servings?
Let x= number of carrot needed for 9 servings
1 : 2 = x : 9
1 /2 = x/ 9
Cross product
1*9 = 2*x
9=2x
Divide both sides by 2
9/2 = x
x= 4.5 Or 4 1/2
Which fraction is equivalent to 20%?
Answer:
1/5
Step-by-step explanation:
1= 100%
1/5= 100%/5
1/5= 20%
Fraction equivalent to 20% is [tex]\frac{1}{5}[/tex]
What is Percentage?In mathematics, a percentage is a number or ratio expressed as a fraction of 100.
What is Fraction?A numerical quantity that is not a whole number.
We know,
A percentage is a number or ratio expressed as a fraction of 100.
Therefore,
20% = [tex]\frac{20}{100}[/tex]
Then,
[tex]\frac{20}{100}=\frac{1}{5}[/tex]
Hence, the fraction equivalent to 20% is [tex]\frac{1}{5}[/tex]
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Find the area of a triangle with a height of 9 cm and a base of 5 cm
Answer:
22.5 cm²
Step-by-step explanation:
Area of Triangle Formula: 1/2bh
Step 1: Define variables
h = 9
b = 5
Step 2: Plug into formula
1/2(9)(5)
1/2(45)
45/2
22.5 cm²
Answer:
22.5 cm^2.
Step-by-step explanation:
Area = 1/2 * base * height
= 1/2 * 9 * 5
= 22.5 cm^2.
Your friend claims to have drawn a regular polygon with sides 8 centimeters and a perimeter of 52 centimeters. Use the formula n=Ps to explain why your friend must have made a mistake.
Answer:
The formula should be n=P/s
Step-by-step explanation:
n=Ps is the perimeter multiplied by each side. If you want to find the perimeter of each side or (P) you have to divide it by each side (s). Each side should be 6 1/2 or 6.5 cm
Fill in the table below so that the table matches the
graph.
х
-2
-1
0
1
2
y
??
Answer: x y
0 1
-2 3
- 1 1
1 3
2 5
Step-by-step explanation:
Solve : - 43 - 4x = 3(1 - 9x)
Answer:
x = 2
Step-by-step explanation:
-43 - 4x = 3(1 - 9x)
Distribute the 3:
-43 - 4x = 3 * 1 - 3 * 9x
-43 - 4x = 3 - 27x
Add 27x to both sides:
-43 - 4x + 27x = 3 - 27x + 27x
-43 + 23x = 3
Add 43 to both sides:
-43 + 43 + 23x = 3 + 43
23x = 46
Divide both sides by 23:
23x / 23 = 46 / 23
x = 2
Answer:
The answer is
x = 2- 43 - 4x = 3(1 - 9x)
Expand the terms
That's
- 43 - 4x = 3 - 27x
Group like terms
Send the constants to the right side of the equation and those with variables to the left side
That's
- 4x + 27x = 43 + 3
Simplify
23x = 46
Divide both sides by 23
[tex] \frac{23x}{23} = \frac{46}{23} [/tex]
We have the final answer as
x = 2Hope this helps you
Given g ( x ) = − 3 x − 4 g(x)=−3x−4, find g ( 5 ) g(5)
Answer:
g(5)=-19
Step-by-step explanation:
Plug in 5 for the x's and get g(x)=-3(5)-4 and then -15-4 which is -19 so g(x)=-19
Answer:
g(5) = -19Step-by-step explanation:
[tex]g( x ) = -3 x -4\\\\g(5) = \:?[/tex]
Substitute 5 for x in the equation
[tex]-3(5)-4\\-15-4\\= -19[/tex]
In your own word explain how to simplify the following expression: 3-8(7-5n)
Answer:
Step-by-step explanation:
Equation at the end of step 1
3 - 8 • (7 - 5n)
STEP
2
:
Final result :
40n - 53
twice a number less than 5
Answer:
2n≤5
Step-by-step explanation:
Answer:
2n < 5
Step-by-step explanation:
2 times a number has to be less than 5.
So assuming the number is n,
2n < 5
Please pick me as brainliest.
Attention!!:Will give brainliest, plz put the right answer. 1.Tim wrote 16 as(-2)^4. Is he correct? Explain. 2.Could −2 be used as a base to rewrite 32? 64? Why or why not?
Answer:
Hey there!
Tim is correct. (-2)^4=-2(-2)(-2)(-2), which is 16.
-2 can be used as a base, because (-2)^5=32, and (-2)^6=64
Let me know if this helps :)
Need help with math!!!
-2y+16=6+3y
16-6=3y+2y
10=5y
5=y
y=4
hope it helps
Answer:
-7y-3=2(y+4)
-(11)/(9)
Step-by-step explanation:
Write the quotient as a mixed number.
98 divided by 3= 32 R2
Answer:
[tex]32\frac{2}{3}[/tex]
Step-by-step explanation:
Hello!
To put 32 R2 as a mixed number we put 32 as the whole number and the remainder over the divider which gives us,
[tex]32\frac{2}{3}[/tex]
The answer is [tex]32\frac{2}{3}[/tex]
Hope this helps!
The expression 98 divided by 3 to a mixed number is 32 2/3
How to change the quotient 98 divided by 3 to a mixed numberFrom the question, we have the following parameters that can be used in our computation:
Number = 98 divided by 3
Divide 98 by 3
so, we have the following representation
Quotient = 32
Next, we have
Remainder = 98 - 32 * 3
Evaluate the products
Remainder = 2
Hence, the fraction to a mixed number is 32 2/3
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Number 51 is decreased to 26 what is the percentage by the numbers decrease
Answer:
about 49
Step-by-step explanation:
I basically estimated my way to the answer, you need to do a lot of calculations for this problem, but as long as you understand the concept, its fine by me to usr a calculator to get the percentage
Answer:49.0
Step-by-step explanation: First you subtract 26 from 51 and then divide that by the original number(51) and multiply that by 100
please help me on this
Answer:
i believe x=10
Step-by-step explanation:
Answer:
x = 10
Step-by-step explanation:
The segment from the vertex to the base is a perpendicular bisector.
Thus the base is divided into 2 equal parts, that is
3x - 8 = 2x + 2 ( subtract 2x from both sides )
x - 8 = 2 ( add 8 to both sides )
x = 10
Your Teacher is wondering if the absolute value of a number can ever be negative. Is she correct? Why or Why not? Use specific examples and sound mathematical reasoning to support your answer
Elaine is 8 years younger than her brother Tyler. The sum of their ages is 34. Define a variable and then write and solve an equation to find Elaine’s and Tyler’s ages.
Answer: Elaine=13 years old Tyler=21 years old
Step-by-step explanation:
Let x = Elaine's age, so her brother Tyler's age = x+8
Elaine+Tyler=34
x+(x+8)=34
2x+8=34
2x=26
x=13
Elaine=13 years old
Tyler=21 years old
Find the value of x. A. 74 B. 78 C. 76 D. 84
Answer:
D
Step-by-step explanation:
The tangent- tangent angle x is half the difference of the measures of the intercepted arcs.
The 2 arcs on the circle = 360°, thus
outer arc = 360° - 96° = 264° , then
x = [tex]\frac{1}{2}[/tex]( 264 - 96)° = [tex]\frac{1}{2}[/tex] × 168° = 84°
Answer:
D.) 84
Step-by-step explanation:
I got it correct on founders edtell
Juan owes his cousin, Benito, $10.00. Benito is tired of waiting for Juan to pay him back. To try and get Juan to pay up more quickly, Benito has decided to add $1.00 per day to the amount Juan owes him. Juan also owes his brother, Tavon, $15.00. Tavon liked Benito's idea of charging additional money, but because he is Juan's brother, decided he would only charge $.50 per day. Write and solve an equation that shows the number of days it will take for Juan to owe Benito and Tavon the same amount of money
Answer:
Equation: 10+x= 15 +0.5x
Time: 10 days
Amount: 20$
Step-by-step explanation:
Equation for Benito:
10 + x*1Equation for Tavon:
15 + x*0.5Since the sums equalize at some time, we get:
10+x= 15 +0.5xx - 05x = 15- 100.5x = 5x= 5/0.5x= 10 daysAfter 10 days, Juan will owe both Benito and Tavon $20