Using a system of equations, it is found that:
38% consumes vanilla.14% consumes strawberry.45% consumes chocolate.In our system, we have that:
x is the percentage of vanilla.y is the percentage of strawberry.z is the percentage of chocolate.Those 3 compromise 97% of the flavors, hence:
[tex]x + y + z = 97[/tex]
Vanilla sells 10% more than twice strawberry, hence:
[tex]x = 10 + 2y[/tex]
Chocolate sells 7% more than vanilla, hence:
[tex]z = x + 7[/tex]
Since [tex]x = 10 + 2y[/tex]
[tex]z = 10 + 2y + 7[/tex]
[tex]z = 2y + 17[/tex]
Replacing in the first equation, we can solve for y:
[tex]x + y + z = 97[/tex]
[tex]10 + 2y + y + 2y + 17 = 97[/tex]
[tex]5y = 70[/tex]
[tex]y = \frac{70}{5}[/tex]
[tex]y = 14[/tex]
With y, we can solve for x and for z.
[tex]x = 10 + 2y = 10 + 2(14) = 38[/tex]
[tex]y = 2y + 17 = 2(14) + 17 = 45[/tex]
Hence:
38% consumes vanilla.14% consumes strawberry.45% consumes chocolate.A similar problem is given at https://brainly.com/question/24778333
352 base 8 to base 10
352₈ = 3•8² + 5•8¹ + 2•8⁰
352₈ = 3•64 + 5•8 + 2•1
352₈ = 192 + 40 + 2
352₈ = 234
HELP!!!!!!!!!!!!!!!!!
Answer:
Not possible
Step-by-step explanation:
R : 2 row x 3 column
P: 2 row x 2 column
column of first matrix (R) is not equal to the row of 2nd matrix
R*P : not possible
find an equation of the line parallel to y=2x+3 and that passes through the point (5,3)
Answer:
y = 2x - 7
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 2x + 3 ← is in slope- intercept form
with slope m = 2
Parallel lines have equal slopes , then
y = 2x + c ← is the partial equation
To find c substitute (5, 3 ) into the partial equation
3 = 10 + c ⇒ c = 3 - 10 = - 7
y = 2x - 7 ← equation of parallel line
Answer:
y = 2x - 7
Step-by-step explanation:
First line: y = 2x + 3 , m = 2
Second line: m = 2 and pass ( 5 , 3 )
y - 3 = 2( x - 5 ) ⇔ y = 2x - 7
A box of donuts contains 12 donuts how many donuts would be in three boxes
Answer:
36 donuts
12*3=36
Step-by-step explanation:
Hope this helps! Plz give brainliest!
Answer:36 donuts for 3 boxes
Step-by-step explanation:
1 box-12 donuts
1 box-12 donuts
1 box-12 donuts
12+12+12= 36
Find the equation of the line that is perpendicular to 3y + x = -2 and passes through
the point (-2,-5).
Answer:
y=3x+1 or 3x-y=-1
Step-by-step explanation:
Hello,
We are given the line 3y+x=-2, and we want to write an equation of the line that is perpendicular to 3y+x=-2, and contains the point (-2, -5)
First, we'll need to find the slope of 3y+x=-2, as perpendicular lines have slopes that multiply to -1
In order to find the slope of 3y+x=-2, let's convert the equation of the line from standard form to slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept
y is isolated by itself in slope-intercept form, so let's subtract x from both sides of the equation
3y=-x-2
Now divide both sides by 3
y=[tex]-\frac{1}{3}x - \frac{2}{3}[/tex]
The slope of the line is -1/3
Now to find the slope of the line perpendicular to it, use this formula:
-1/3m=-1
Multiply both sides by -3
m=3
So the slope of the line perpendicular to it is 3
We can write the equation of this new line in slope-intercept form; substitute 3 as m in y=mx+b:
y=3x+b
Now we need to find b
As the equation passes through the point (-2, -5), we can use its values to help solve for b
Substitute -2 as x and -5 as y:
-5=3(-2)+b
Multiply
-5=-6+b
Add 6 to both sides
1=b
Substitute 1 as b:
y=3x+1
The equation can be left as this, or we can write it in standard form, if you wish
In standard form, x and y are on the same side; so we'll subtract 3x from both sides in order to have both variables on the same side
-3x+y=1
However, a (the coefficient in front of x) cannot be negative; so we'll multiply both sides by -1 to change the sign of the variable.
3x-y=-1
Hope this helps!
what is x(14+2)5 please help me
Answer: 80x
Step-by-step explanation:
1. add the numbers 14+2=16 (=x(16)(5)_)
2. Multiply the numbers 16(5) = 80 (=X(80) = 80X)
Keith buys 45 tickets for rides at the amusement park. Each ride requires 6 tickets to ride. If Keith already has gone on x rides, which expression is equivalent to
the number of tickets Keith has left?
A:45-6x
B:6(x-45)
C:6(45-x)
D:x(45+6)
❗❗ANSWER+EXPLANATION=100POINTS+BRAINLIEST♡❗❗
(Question in the pic)
thanks <3
Answer:
Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.
Step-by-step explanation:
My little sister need help with this problem. Annabelle arranged her 42 building blocks into 3 rows of 14 blocks. Then, she rearranged them into 6 rows of 7 blocks. What two other factor pairs could Annabelle use to help her rearrange the blocks again?
Explain your answer using complete sentences.
Answer:
21 rows and two Blocks
1 row 42 Blocks
Step-by-step explanation:
Number of blocks with Annabelle = 42
First arrangement = 3 rows 14 blocks
Second arrangement = 6 rows 7 blocks
Solution
The other two factor pairs that could be used to rearrange the blocks again?
Solution:
Here, we will have to find the factor pairs of total number of blocks present with Annabelle.
i.e. 42
First of all, let us have a look at the factor pairs of 42.
Therefore, the other two factor pairs can be 2, 21 and 1, 42.
The other two possible factor pairs are:
21 rows 2 blocks
1 row 42 blocks
Pleaseeeeee solveee 25 points pleaze help geometry
Answer:
(-3/2, 6)
Step-by-step explanation:
(-3,8) (6,-4)
As we move along the line segment with endpoints (-3,8) and (6,-4) from (-3,8) to (6,-4) x increases by 9 units (from -3 to 6) and y decreases by -12 units (from 8 to -4).
for ratio of 1:5
Since 1+5=6, the point we are looking for is 1/6 of the way from (-3,8) to (6,-4).
So, the desired point is
(-3 + (1/6)(9), 8 - (1/6)(12) )
= (-3 + 3/2 , 8 - 2)
= ( (-6 + 3)/2, 6)
= (-3/2, 6)
for map reference see the image below
(1,-1) (5,-7 find the slope
Answer:
m=-2
Step-by-step explanation:
m=-8/5-(1)
m=-8/4
divided -8 by 4
m=-2
Answer:
m=-2
Step-by-step explanation:
Please help!!!!!!!!!!!!!!!
Answer:
Y+5=2/3(x-4)
Step-by-step explanation:
since the slope is 2/3, it should be in the right side of the equal sign, its passing thru (4,-5) thus it being Y+5=2/3(x-4)
On a sunny day Josée's shadow
is 2.9 m long, while the shadow
of a tower is 11.3 m long. If
Josée is 1.8 m tall, calculate
the height of the tower.
Answer:
sorry I don't know the answer to this question
If one team had 7 players, how many players did the other team have
Answer:7
Step-by-step explanation:because each team has to be equal
factorize 4c−28 help
Select the points that are solutions to the system of inequalities. Select all
that apply.
10 -
10
I A. (0, -10)
B. (2,4)
C. (-2,0)
D. (10,-1)
Answer: B and D
Step-by-step explanation: These points are in the shaded region on the graph. Every point in the shaded region is a solution to the set of inequalities.
The solution to the given inequalities are the points that lie in the shaded region and they are (2, 4), (10, - 1).
What is the graphical solution of a system of equations?Graphical solutions of a system of equations are a way of finding the intersection points of all the equations given.
A system with two or more two equations has a solution only when they have a common intersection point.
Here in this case the points that are solutions to the system of inequalities
that lie in the shaded region Or all the points that lie in the shaded region is the solution to these inequalities.
So, (2, 4), and (10, - 1) are the solutions.
learn more about inequalities here :
https://brainly.com/question/28823603
#SPJ2
640divided by 90 and 150 divided by 50
Answer:
1: 7.1
2: 3
Step-by-step explanation:
Report if wrong
-Atlas-
Answer:
640 ÷ 90 = 7. ¯ 1
150 ÷ 50 = 3
PLEASE HELP! I WILL GIVE BRAINLIEST <3
A regulation football field is 300 feet by 160
feet, with 30 foot end zones at either end of
the longer side. What is the distance from the
back corner of one end zone to the opposite
front corner of the other, as denoted by the
dashed line in the picture to the left?
Answer:
10 <3
Step-by-step explanation:
Answer:
340ft
Step-by-step explanation:
So this is just the Pythagoren Theorem. a^2+b^2=c^2
340ft
write a subtraction sentence where the difference is negative use a positive and negative integer
Answer:
Examples:
-5 - 2
-4 - 1
-8 - 6
Basically, the negative integer should be first with the higher greater absolute value.
Step-by-step explanation:
Answer:
-7-(-6)
Step-by-step explanation:
=-1.
it contains a positive and negative integer
the length of a rectangle is 5 less than 2 times its width, if the perimeter is 86ft, what is the length and width of the rectangle. Write and solve the equation
Answer:
Width: 16
Length: 27
Step-by-step explanation:
Let x be the width of the rectangle.
The length would then be 2x - 5
The perimeter is:
2x - 5 + x + 2x - 5 + x =
6x - 10 = 86
Solve.
6x = 96
x = 16
Thus,
Width: 16
Length: 27
Hiya! I need help i bet it says im in high school but im in middle school can you tell me what percent of 25 is 20 in middle school
Answer:
25 percent of 20 is 5 percent
Answer:
Step-by-step explanation:
percentage:
80%
messed up saying it was 125% so say thanks to the person who commented below mine-
5 times the difference of a number and 2
Answer: 3.3
Step-by-step explanation: 5 divided by 3 x 2 = 3.3
Graph the equation shown below by transforming the given graph of the parent
function.
y = 4 x 2^-x
Answer:
|x| Start Over 10 -10 -9 -8 -7 -6 -5 -4 -3 -2 -1 2 3 4…
Step-by-step explanation:
__% of 4 is 7
hellpp
Answer:
175 %
Step-by-step explanation:
x % of 4 = 7
[tex]\dfrac{x}{100}*4 = 7\\\\\\x = 7*\dfrac{100}{4}\\\\x = 7*25\\\\x = 175[/tex]
Put the following equation of a line into slope-intercept form, simplifying all fractions.
2
x
+
6
y
=
2x+6y=
12
12
Answer:
[tex] \sqrt[6]{ 729} [/tex]
Help me please people it’s the last question
Answer:
1 m³
Step-by-step explanation:
first find volume of smaller cubes
V = lwh
S = 1/3*1/3*1/3
S = 1/27
find volume of large cube. there are 27 smaller cubes.
V = 27S
V = 27(1/27)
V = 1
S: volume of small cube
V: volume of large cube
Find the base of
4+6 = 20
Answer:
So in base 5, 4+6 = 20
Step-by-step explanation:
pls help me I need this last question ⁉️
[tex]46 + \frac{3}{7} \times = [/tex]
Answer:
[tex] \sf 46 \frac{3}{7} [/tex]
Step-by-step explanation:
[tex] \sf = 46 + \frac{3}{7} [/tex]
[tex] \sf = 46 \frac{3}{7} [/tex]
or
[tex] \sf = 46 + \frac{3}{7} [/tex]
[tex] \sf = \frac{46}{1} + \frac{3}{7} [/tex]
[tex] \sf = \frac{322}{7} + \frac{3}{7} [/tex]
[tex] \sf = \frac{325}{7} [/tex]
[tex] \sf = 46 \frac{3}{7} [/tex]
Answer:
325/7Step-by-step explanation:
refer to the attachment
hope it helps
3 t-shirts cost £25.95.
How much do 10 t-shirts cost?

Answer:
£86.50
Step-by-step explanation:
To find how much 10 t-shirts cost we have to find how much they cost individually.
3 T- Shirts / 25.95 = 8.65 which means that each T-Shirt Costs 8.65.
8.65 x 10 T-Shirts = £86.50
pls Round 2.382 to the nearest hundred
If 2.383 is rounded to the nearest hundred the answer is 2.38
[tex]\huge\bold\blue{2.38}[/tex]
Explanation:
2 - ones
. - decimal point
3 - tenths
8 - hundredths
2 - thousandths
8 is the digit in the hundredths place
look at the number on its right (which is 2)
if: < 5, just copy the number until the nearest hundredths.
if: > or = 5, add 1 to the hundredths then copy the number until the nearest hundredths