Answer:
n = -6
Step-by-step explanation:
10[6(n+1)+5(n-1)]=13[7(5+n)-(25-3)]
You will collect like terms
10(6n+6+5n-5)=13(35+7n-25+3)
it will give you this
10(11n+1)=13(10+10n)
Then you remove the parenthesis
110n+10 = 130 +130n
Move the terms
110n -130n = 130-10
collect like terms
-20n=120
divide both sides
n=-6
At a corner bakery, 6 croissants and 3 cups of coffee costs $25.95. An order of croissants and 6 cups of coffee costs $26.70. What is the cost of an order of 1 croissants and 1 cup of coffee?
Answer:
$6.36
Step-by-step explanation:
this is a system of equations problem. There are two main methods for this type of problem: elimination and substitution(I used both here). A-croissants, B-coffee.
The cost of an order of 1 croissant is $2.3 and 1 cup of coffee is $4.05.
We need to form the system of equations for the given statement.
What is the system of equations?In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.
Let the cost of croissants be x and the cost of cups of coffee be y.
6 croissants and 3 cups of coffee costs $25.95
6x+3y=25.95-----(1)
1 croissant and 6 cups of coffee cost $26.70
x+6y=26.70-----(2)
(6x+3y)6=25.95×6
⇒36x+18y=155.7-----(3)
(x+6y)3=26.70×3
⇒3x+18y=80.1-----(4)
Subtract (4) from (3).
That is, 36x+18y-(3x+18y)=155.7-80.1
⇒33x=75.6
⇒x=2.3
Substitute x=2.3 in equation (1).
That is, 6(2.3)+3y=25.95
⇒3y=12.15
⇒y=4.05
Therefore, the cost of an order of 1 croissant is $2.3 and 1 cup of coffee is $4.05.
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In ΔABC, if m∠CAD = 29°, the m∠DAB is
Answer:
Angle DAB is 29°.
Step-by-step explanation:
The lines in the two angles show that they are equal.
So angle DAB is equal to angle CAD.
m∠DAB is 29°
Given:
m∠CAD = 29°
From the image given showing ΔABC, the two angles, ∠CAD and ∠DAB are congruent to each other. This is indicated in the diagram with each single stroke on each angle.
Congruent angles are equal to each other.
∠CAD and ∠DAB are congruent angles.
Thus,
m∠CAD = m∠DAB = 29°
Therefore, m∠DAB is 29°
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A is the midpoint of LB, LB = 6x - 17 and AB = 2x + 3
Ali's heart beats 320 times in 4 minutes. How many beats per minute is that?
Answer:
90 beats per minute
Step-by-step explanation:
320 divided by 4 is 90, which would mean that there is 90 beats per minute
Answer: the answer is 64 beats.
Step-by-step explanation:
The measures of two angles of a triangle are 49° and 75°. Find the measure of the third angle in degrees.
If the discriminant of a quadratic equation is 4 which statement describes the roots.
Answer:
2 real roots
Step-by-step explanation:
If the discriminant is >0 then the equation has 2 real roots
If the discriminant is =0 then the equation has 1 real roots
If the discriminant is <0 then the equation has 2 complex roots
since the discriminant is 4, it has 2 real roots
Answer:
It will have 2 real roots
Step-by-step explanation:
4>0 :)
In the equation 18/2 = 9, nine is the:
Answer:
Quotient.
Step-by-step explanation:
You get a quotient by dividing something. It is the end result, the solution.
Answer: quotient
Step-by-step explanation: The answer to a division
problem is called the quotient.
So here we say the quotient of 18/2 is 9.
7is subtracted from the quotient of 48 divided by th
e sum of 5 & difference of 11 and 8
Answer:
7-48=41
÷
5+11-8
bodmas
5+3=8
41÷8=5.125
Answer:
-1
Step-by-step explanation:
48/(5+(11-8) -7
48/(5+3) -7
48/8 -7
6-7
-1
i hope it helped you. i tried you help you
Stacy milk to make pancake batter. The recipe calls for 3/4 of jug of She 1/4 a jug How much more milk does she need?
Answer:
More milk does she need = 1 / 2 jug
Step-by-step explanation:
Given:
Recipe call milk = 3/4 jug
Stacy had = 1/4 jug
Find:
More milk does she need
Computation:
More milk does she need = 3/4 - 1/4
More milk does she need = (3 - 1) / 4
More milk does she need = 2 / 4
More milk does she need = 1 / 2 jug
The graph below is a portion of the complete graph. On a separate sheet of paper sketch the complete graph assuming it is symmetric with respect to the x-axis. Then list 3 points from the new part of the graph that you sketched.
Answer:
(-1, -3), (-2, -5), (-5, -8),(-8, -5), (-9, -3)
Step-by-step explanation:
These are the options of points to pic from. :)
have a good day.
what is 7/2 as a mixed number
Hello! :)
Answer:
[tex]\huge\boxed{3\frac{1}{2}}[/tex]
[tex]\frac{7}{2}[/tex] as a mixed number:
Divide 2 from 7 and find the remainder:
7 ÷ 2 = 3 R 1.
An improper fraction in mixed form has the quotient as the coefficient, and the remainder over the fraction. Therefore:
[tex]\frac{7}{2} = 3\frac{1}{2}[/tex]
Answer:
[tex]3\frac{1}{2}[/tex]
Step-by-step explanation:
Step 1: Define mixed fraction
A mixed fraction is a number with a whole number and a fraction together
Step 2: Find mixed fraction
Ask how many time can 2 completely fit into 7 without leaving anything left over, 2 fits in 7 3 times because 2 x 3 = 6 and 7 - 6 is 1. We put 3 in front of the fraction and we keep the 1 left over in the numerator of the fraction with 2 as the denominator to get [tex]3\frac{1}{2}[/tex]
3x=9 divide each side by 3 x=3
Answer:
3
Step-by-step explanation:
3x=9
3(3)=9
3/3=0=9/3=3
answer=3
please help me!!!!!
Answer: 194
Step-by-step explanation:
1. Square both sides to get (b+2)=14^2=196
2. Subtract 2 from both sides to get b=194
a natural number is ____ a rational number
The Rational numbers ( Q ) include the Natural numbers ( N ):
A natural number is always a rational number.
:)
I need help. I don’t understand what I have to do
Answer:
Hey there!
3x-5+2x+2+3x+5
3x+2x+3x-5+2+5
8x+2=90
8x=88
x=11
Let me know if this helps :)
Step-by-step explanation:
Hey, there!!
Let's simply work with it,
MA is perpendicular to AT.
To find: angle HAT.
Now,
angle HAT + (2x + 2)° + (3x + 5)° = 90° { As MA perpendicular to AT. }
Now,
Replace angle HAT by (3x - 5)°.
(3x-5)° + (2x+2)° + (3x+5)° = 90°
Open brackets,
3x - 5° + 2x + 2° + 3x + 5° = 90°
Add like terms.
8x + 2°= 90°
8x = 90°-2°
[tex]x = \frac{88°}{8} [/tex]
x= 11°.
Now, finding the value of angle HAT.
(3x-5)° = 3×11°-5°
Therefore, angle HAT is 28°.
Hope it helps...
(9)(-4)(6)
please help!
Answer:
-216
Step-by-step explanation:
6*9= 54
54* (-4) = -216
The parabola $y = ax^2 + bx + c$ is graphed below. Find $a+b+c$. (The grid lines are one unit apart.)
If [tex]x=0[/tex], then [tex]y=a\cdot0^2+b\cdot0+c=5[/tex], so [tex]c=5[/tex].
If [tex]x=1[/tex], then [tex]y=a\cdot1^2+b\cdot1+c=2[/tex], so [tex]a+b+5=2[/tex] or [tex]a+b=-3[/tex].
If [tex]x=2[/tex], then [tex]y=a\cdot2^2+b\cdot2+c=1[/tex], so [tex]4a+2b+5=1[/tex] or [tex]2a+b=-2[/tex].
We have
[tex]a+b=-3\implies -a-b=3[/tex]
[tex](2a+b)+(-a-b)=-2+3[/tex]
[tex]\implies a=1\implies b=-4[/tex]
So we end up with
[tex]a+b+c=1+(-4)+5=\boxed{2}[/tex]
The upper-left coordinates on a rectangle are (-5, 6)(−5,6)left parenthesis, minus, 5, comma, 6, right parenthesis, and the upper-right coordinates are (-2, 6)(−2,6)left parenthesis, minus, 2, comma, 6, right parenthesis. The rectangle has a perimeter of 16units.
Answer:
Step-by-step explanation:
The question is incomplete. Here is the complete question.
The upper-left coordinates on a rectangle are (−5,6) and the upper-right coordinates are (−2,6). The rectangle has a perimeter of 16units. Draw the rectangle on the coordinate plane below.
If the coordinates of the top of the triangle (breadth) is (−5,6) and (−2,6), we can calculate the breadth of the rectangle by taking the difference between the two points using the formula:
D = √(y₂-y₁)²+(x₂-x₁)²
Given x₁ = -5, y₁= 6, x₂ = -2 and y₂ = 6
D = √(6-6)²+(-2-(-5))²
D = √0²+3²
D = √9
D = 3 units
Breadth = 3 units
Given the Perimeter to be 16 units and the formula for calculating the perimeter of rectangle t be P = 2(L+B), we can get the length of the rectangle.
16 = 2(3+L)
16 = 6+2L
16-6 = 2L
2L = 10
L = 10/2
L = 5 units.
Hence the length of the rectangle is 5 units and the breadth is 3 units. Find the diagram in the attachment.
Answer:
This other person is correct! I checked =)
Step-by-step explanation:
What is the actual distance of 9 cm on a map whose scale shows that 3 cm = 5 km? A. 18 km incorrect answer B. 12 km incorrect answer C. 21 km incorrect answer D. 15 km
Answer:
15 km
Step-by-step explanation:
3 cm on the map = 5 km
3 x 3 = 9 cm
5 x 3 = 15 km
So, 9 cm on the map = 15 km
Answer:
D. 15 km
Step-by-step explanation:
When bisecting a line segment, why must you find the intersection points of the arcs both above and below the line segment?
(1 point
The intersection point above the line segment overestimates the midpoint, while the intersection point below the line segment
underestimates the midpoint
Only one intersection point is needed to find the midpoint, but finding both points allows you to check your work
Finding both intersection points helps if the line segment is not completely vertical or horizontal
Ite
To make sure that you get a straight ine to bisect the line segment
Answer:
To make sure that you get a straight line to bisect the line segment
Step-by-step explanation:
Answer:
The last option.
Step-by-step explanation:
You get a straight line that passes through the midpoint.
Is the number, 0.692, rational or irrational?
Answer: It is rational because it can be converted to a fraction since it terminates.
Step-by-step explanation:
As
0.692 is rational because it can be a fraction; 173/250 or 692/1,000
♡ Hope this helps! ♡
❀ 0ranges ❀
Valerie is the building manager for the cowardly enterprise office building One of her responsibilities is cleaning the office buildings 200 gallon aquarium for cleaning she must remove the fish from the aquarium in drain the water the water drain a constant rate of 10 gallons per minute what is the independent and dependent variables
Answer:
The independent variable = The volume of water in the aquarium
The dependent variable = The time it will take to drain the aquarium
Step-by-step explanation:
The independent variable, as indicated in the name is the variable that is not influenced by other variables but can predetermine its own self and it is not altered by the other variables being analysed
Therefore, the independent variable is the water in the 200 gallon aquarium
The dependent variable, is the tested or measured variable and is dependent on the independent variable, which is the time it takes to drain the 200 gallon aquarium.
To estimate the percentage of defects in a recent manufacturing batch, a quality control manager at selects every th that comes off the assembly line starting with the until she obtains a sample of . What type of sampling is used? A. Systematic B. Stratified C. Convenience D. Simple random E. Cluster
Answer: systemic
Step-by-step explanation:
When converting θ = π/3 to a Cartesian equation, let x = ____
1/2 r
√2/2 r
√3/2 r
The equations
[tex]x = r*\cos(\theta)\\\\y = r*\sin(\theta)[/tex]
are useful to convert from polar to Cartesian
So,
[tex]x = r*\cos(\theta)\\\\x = r*\cos\left(\frac{\pi}{3}\right)\\\\x = r*\frac{1}{2} \ \text{ use unit circle} \\\\x = \frac{1}{2}r[/tex]
Answer: Choice AWhich statement about the stamps is correct?
Karl has stamps in his desk drawer. The possible
combinations of stamps are shown below.
Karl's Stamp Collection
The total number of stamps is 25.
The total value of the stamps is $18.75.
The total number of stamps is 35.
The total value of the stamps is $19.15.
Number of
Number of
45-cent stamps 65-cent stamps
18
17
2015
22
13
10
25
Answer: C.) The total number of stamps is 35.
Step-by-step explanation:
Given the table :
No of 45-cent stamp - - - No of 65-cent stamp
- - - - - - - 18 - - - - - - - - - - - - - - 17
- - - - - - - 20 - - - - - - - - - - - - - - - 15
- - - - - - 22 - - - - - - - - - - - - - - 13
- - - - - - 10 - - - - - - - - - - - - - - - - 25
Verifying each option stated :
Total value of stamp:
Each row add up to 35. Example (18 + 17) = 35
(20 + 15) = 35
(22 + 13) =35
(10 + 25) = 35
Total value of stamp:
Using the first row:
45 cent = $0.45 ; 65 cent = $0.65
(10 * 0.45) + (25 * 0.65)
= $4.5 + $16.25 = $20.75
Not all rows add up to $19.15
Answer:
Your answer is C
Step-by-step explanation:
I would appreciate some help :)
Answer:
See below
Step-by-step explanation:
(a) Remember that the median of any data set is represented by the " middle line " of the box plot. The median of Brand X would be 13, and the median of Brand Y would be 16.
(b) The median of each respective box plot is not in range of their respective boxes. Therefore Brand X has a much smaller time span that Brand Y. This proves that one would favor Brand Y over Brand X.
What is the perimeter of the parallelogram?
Answer: 36
Step-by-step explanation:
The top and bottom of the parallelogram both have lengths of 8.
To determine the length of the parallel diagonal sides, form a right triangle using the left side of the parallelogram as its hypotenuse (in red in my diagram below).
The right triangle has legs of length 6 and 8, so the length of the hypotenuse (c) is:
6^2 + 8^2 = c^2
36 + 64 = c^2
100 = c^2
c = 10
Thus the two diagonal sides of the parallelogram must both have a length of 10, so the perimeter of the parallelogram is 8 + 10 + 8 + 10 = 36.
the density of concentrated sulphuric acid is 1.8 g/cm.calculate the volume of 3.1 kg of the acid
Step-by-step explanation:
[tex]density = \frac{mass}{volume} \\ volume = \frac{mass}{density} \\ changing \: 1.8 {gcm}^{ - 3} to \: {kgm}^{ - 3} \\ multiply \: by \: 1000 \\ = 1800 {kgm}^{ - 3} \\ volume = \frac{3.1}{1800} \\ = 0.00172 {m}^{ 3} [/tex]
The volume of 3.1 kg of concentrated sulfuric acid is 1722.22 [tex]cm^{3}[/tex].
Here's the solution:
The density of concentrated sulfuric acid is 1.8 g/[tex]cm^{3}[/tex]. This means that 1.8 grams of concentrated sulfuric acid will occupy 1 cubic centimeter of space.
If we have 3.1 kg of concentrated sulfuric acid, then we have 3100 grams of concentrated sulfuric acid.
The volume of this amount of concentrated sulfuric acid will be:
volume = mass / density
volume = 3100 g / 1.8 g/[tex]cm^{3}[/tex]
volume = 1722.22 [tex]cm^{3}[/tex]
Therefore, the volume of 3.1 kg of concentrated sulfuric acid is 1722.2[tex]cm^{3}[/tex]
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Given: 5x – 21 = 24
Prove: X = 9
list the statements
The central angle of sector R is 38° and the central angle of sector Q is 39°. What is the probability that the spinner does not land on Q or R? P Q R S T U
Answer: 0.786
Step-by-step explanation:
Here i would assume that:
Sector R and Sector Q do not have any sections in common.
Then, the probability that the spinner does not land on Q or R, is equal to the probability where the spinner does not land in a specified section of:
38° + 39° = 77°.
Now, the total section off the spinner is 360°.
If we remove those 77°, we have a section of:
360° - 77° = 283°
So we have 283° where the spinner CAN land on.
Then the probability that the spinner does NOT land on R or Q is equal to the quotient between the section of the spinner that is not R or Q, and the total section of the spinner"
P = 283/360 = 0.786
So the probability is 0.786