9514 1404 393
Answer:
R32.15
Step-by-step explanation:
Let x and y represent the original price of a loaf of bread and a liter of drink, respectively. The two relations given by the problem statement are ...
10x +12y = 138.90
10(1.2x) +12(1.1y) = 159.54
Multiplying the first equation by 1.2 and subtracting the second gives ...
1.2(10x +12y) -(10(1.2x) +12(1.1y)) = 1.2(138.90) -(159.54)
1.2y = 7.14 . . . . collect terms
y = 5.95 . . . . . divide by 1.2
The value of x can be found from the first equation.
10x + 12(5.95) = 138.90
10x = 67.50 . . . . . . . . . . . subtract 71.40
x = 6.75 . . . . divide by 10
Then the value of 3x+2y is ...
3(6.75) +2(5.95) = 32.15
The original price of 3 loaves and 2 liters is R31.15.
Someone please help I have 40 mins for this test !
Answer:
It would be Linear
Step-by-step explanation:
Answer:
i think its quadratic because the graph isnt straight and has different slopes between the x,y.
Step-by-step explanation:
How much water must be added to 12 quarts of a 10% solution of salt and water to reduce to a 6% solution?
Answer:
Let x = quarts of water to be added
so then
12* 10% + x * 0% = (12+x) * 6% (this says 12 quarts of 10% solution + x quarts of 0%(water) equals the new total (12+x) of a 6% solution
1.2 = .72 + .06x
.48 = .06x
x = 8 (quarts of water to be added)
Step-by-step explanation:
Hope this helps
QUESTION 6 The scale on a map is given as 1 : 320,000. If the distance between the top of the two mountains on the map is 6.8cm, what is the actual distance in kilometres between the two tops of the mountain. ? show working out to prove answer.
Answer:
The actual distance is of 21.76 kilometers.
Step-by-step explanation:
Scale problems are solved by proportions, using a rule of three.
The scale on a map is given as 1 : 320,000
This means that each unit on the map represents 320,000 units of distance.
Distance between the top of the two mountains on the map is 6.8cm
Then
1 cm - 320,000 cm
6.8 cm - x
Applying cross multiplication:
[tex]x = 6.8*320000 = 2176000[/tex]
Distance in kilometers
To convert from centimeters to kilometers, we divide by 100000. So
2176000/100000 = 21.76
The actual distance is of 21.76 kilometers.
Solve the equation and check the result
3(2y-8)-y=9
Answer:
y = 33/5
Step-by-step explanation:
Distribute
3(2y-8)-y = 9
6y - 24 - y
5y - 24 = 9
Add 24 to both sides
5y = 9 + 24
5y = 33
y = 33/5
3.
- 4x + y = 6
- 5x - y = 21
Answer:
(-3,-6)
Step-by-step explanation:
You need to solve for the system of equations.
Step-by-step explanation:
-4x+y=6
-5x-y=21
y=6+4x
-5x-(6+4x)=21
-5x-6-4x=21
-5x-4x=21+6
-9x=27
-9x÷9=27÷9
x=3
y=6+4x
=6+4(3)
=18
0.0543 nearest whole number
Answer:
0
Step-by-step explanation:
Ignore the next 2 numbers after 0.05. To the nearest whole number, round 0.05 to the nearest tenth, 0.1. Then round that to the nearest whole number, 0, which is your answer.
A bicycle wheel with radius 26" rotates through an arc that measures 80°. What is the length of the arc of the tire that touched the ground? 5.78 inches 11.56 inches 2.88 inches
Answer:
104/4 pi
Step-by-step explanation:
Answer: The circumference of a circle is:
Radius = r, Diameter = d, C = Circumference
C=2πr (as 2r=d)
C=πd
-------------
If the radius of the circle is 26" then its diameter must be 52".
This means that the bicycle wheel has a circumference of 52π".
I'm going to divide 52π" into 360 parts (because a circle is made up of 360 degrees). I'll then multiply this value by 80 to give you an answer.
A hot air balloon is cruising at an altitude of 120 meters above the ground when it begins its descent. The balloon descends at a rate of 4.5 meters per minute. Explain how you would set up an equation to model when the balloon will reach an altitude of 75 meters above the ground. Then solve the equation and check your solution.
PLEASE HELP ASAP
Answer:
y = - 4.5x + 120
75 = - 4.5x + 120
x = 10 minutes
Step-by-step explanation:
To model the scenario described above, we use the linear equation model ;
Where ;
y = bx + c ; c = intercept ; b = slope ; y = altitude at time x
The initial altitude of the hot air Ballon here is the intercept = 120 meters
The descent rate = 4.5 m per minute is the slope ; since it is descent, then the slope will be negative as the altitude will reduce.
Hence, we have ;
y = - 4.5x + 120
Hence, the time altitude will be 75 cabnbe modeled as :
y = 75
75 = - 4.5x + 120
75 - 120 = - 4.5x
- 45 = - 4.5x
x = 10 minutes
Please help me with this ive been struggling on it for a while
Please I need help in finding the diameter
Answer:
20
Step-by-step explanation:
diameter=√(12²+16²)=√[4²(3²+4²)]=4√(9+16)=4√25=4×5=20
Let X denote the number of bars of service on your cell phone whenever you are at an intersection with the following probabilities.
x 0 1 2 3 4 5
P(X=x) 0.1 0.15 0.25 0.25 0.15 0.1
Determine the following probabilities
a. Two or three bars
b. At least one bar
c. Fewer than two bars
d. More than three bars
Answer:
a. [tex]P(2 \leq X \leq 3) = 0.5[/tex]
b. [tex]P(X \geq 1) = 0.9[/tex]
c. [tex]P(X < 2) = 0.25[/tex]
d. [tex]P(X > 3) = 0.25[/tex]
Step-by-step explanation:
We are given the following distribution:
[tex]P(X = 0) = 0.1[/tex]
[tex]P(X = 1) = 0.15[/tex]
[tex]P(X = 2) = 0.25[/tex]
[tex]P(X = 3) = 0.25[/tex]
[tex]P(X = 4) = 0.15[/tex]
[tex]P(X = 5) = 0.1[/tex]
a. Two or three bars
[tex]P(2 \leq X \leq 3) = P(X = 2) + P(X = 3) = 0.25 + 0.25 = 0.5[/tex]
Thus:
[tex]P(2 \leq X \leq 3) = 0.5[/tex]
b. At least one bar
[tex]P(X \geq 1) = 1 - P(X = 0) = 1 - 0.1 = 0.9[/tex]
Thus:
[tex]P(X \geq 1) = 0.9[/tex]
c. Fewer than two bars
[tex]P(X < 2) = P(X = 0) + P(X = 1) = 0.1 + 0.15 = 0.25[/tex]
Thus:
[tex]P(X < 2) = 0.25[/tex]
d. More than three bars
[tex]P(X > 3) = P(X = 4) + P(X = 5) = 0.15 + 0.1 = 0.25[/tex]
Thus:
[tex]P(X > 3) = 0.25[/tex]
y=x^2-2x-8
please help ♀️
Answer: (1, -9)
Hope this helped!
Step-by-step explanation:
simplify -5-√-44
i have no idea
Answer:
Undefined
Step-by-step explanation:
The square root of a negative number does not exist in the set of real numbers so it would be Undefined
Triangle ABC has vertices A (-2, 2), B (2, 4) and C (3, -1). What are the coordinates of A' after a dilation by a scale factor of 2.5?
Answer:
A’(-5,5)
Step-by-step explanation:
x’ = 2.5 * -2 = -5
y‘ = 2.5 * 2 = 5
someone pls help its due soon
9514 1404 393
Answer:
II only
Step-by-step explanation:
You can simplify the inequality like this:
3 -8 > 8 -8 + 5x . . . . . . . . subtract 8 from both sides
-5 > 5x . . . . . . . . . . . . . simplify
-5/5 > (5x)/5 . . . . . . . divide both sides by 5
-1 > x . . . . . . . . . . . . simplify
I find this easier to compare to a numbers on a number line if the inequality symbol points to the left. (This is a personal preference. YMMV)
x < -1
Now, we can see that only numbers to the left of -1 on the number line will be suitable values for x. Of those listed, only -9 is a solution.
II only
can someone please tell me the answer .
Answer:
Step-by-step explanation:
Answer:
the last one
Step-by-step explanation:
congruent means they are the same and all sides of a square are the same size.
At what values of x, does f(x) = 0?
(-1,0) (2,0) (4,0)
Answer:
-1, 2, 4
Step-by-step explanation:
As one can see in the given values,
(-1, 0), (2, 0), (4, 0)
When one substitutes these values for (x), the outputs, also known as the results or what (f(x)) equals or the (y) values are equal to (0). Therefore, (f(x)) equals zero at these given values.
Determine the solution set of (x-4)^2 = 12
What is the MAXIMUM of the data set: 24, 25, 29, 30, 31, 31, 32, 34, 34?
I need the answer to #3
Answer:
I think its b but im not sure
Step-by-step explanation:
fill in the blanks
864+2006=--------+864
5351 +(574+799)= 574+(5351+_____)
Answer:
2006
799
Step-by-step explanation:
Given the expression:
The right hand side of the sun must be equal to the left hand side ;
Therefore ;
864+2006=--------+864
The sum of 864 and 2006 must be equal to the right hand side sum ; hence
864+2006= 2006 +864
Similarly, the left hand side and right havd side must also be equal here ;
5351 + 574 + 799 = 574 + 5351 + 799
Hence, the missing value is 799
etermine whether the given description corresponds to an observational study or an experiment. In a study of 444 women with a particular disease, the subjects were photographed daily. Does the given description correspond to an observational study or an experiment?
Answer:
observational study
Explanation:
The above is an example of observational study. An observational study merely observes and takes note, it does not try to interfere or intervene with the sample by deciding who would be exposed or not exposed to a certain explanatory variable(such as a disease). On the other hand, the experimental study divide up samples into groups, having the experimental group and the control group. This way the researcher interfers with the sample: The experimental group being the group exposed to the independent/explanatory variable while the other/control group is not.
Two sides and an angle are given:
a = 5, b = 4, angle B = 15°
Determine whether the given information results in one triangle, two
triangles, or no triangle at all.
Solve any triangle(s) that result(s).
Answer:
It results to two triangles
Step-by-step explanation:
There are two angle b
i need help finding the answer with step by step
Answer:
x= -1
Step-by-step explanation:
if
f(x) = -x-3
and
f(x) = -2
than
-x-3 = -2; add 3 to both sides
-x-3+3 = -2+3
-x = 1 ; multiply both sides by -1
x= -1
A box has dimensions of 4.0 cm by 8.5 cm by 2.0 cm. The volume of the box in mL is:
Without graphing, determine the vertex, domain, and range for each of the functions. Does the vertex of each function represent a maximum point or a minimum point? Show all algebraic work to calculate the vertices.
f(x)=(x+4)2+3
Answer:
f(x)=(x+4)+3
f(x)=4x+3
Which statement regarding the diagram is true?
mMKL+mMLK=mJKM mKML+mMLK=mJKM mMKL+mMLK=180 mJKM+mMLK=180
Answer:
mKML+mMLK=mJKM
Step-by-step explanation:
A triangle is a polygon with three sides and three angles. Types of triangles are scalene, acute, obtuse, equilateral, isosceles, and right triangle.
As shown in the diagram, polygon MLK is a triangle. The sum of angles in a triangle is equal to 180°, hence:
m∠MLK + m∠KML + m∠MKL = 180° (sum of angles in a triangle).
m∠MKL = 180 - (m∠MLK + m∠KML) (1)
Also along line JL, the sum of angles on one side of a straight line is 180°, therefore:
m∠JKM + m∠MKL = 180° (sum of angles in a straight line)
m∠JKM + m∠MKL = 180° (2)
From equations 1 and 2, equating give:
m∠JKM + [180 - (m∠MLK + m∠KML)) = 180
m∠JKM + 180 - m∠MLK - m∠KML = 180
m∠JKM = m∠MLK + m∠KML
SOMEONE HELP ME PLEASE
Answer:
The missing value is 5/2
Step-by-step explanation:
Explain or show that the point (5,−4) is a solution to this system of equations:
3x−2y=23
2x+y=6
Answer:
The x and y values of the coordinates satisfy the system of equations.
Step-by-step explanation:
[tex]when \: x = 5 \: and \: y = - 4 \\ 3x - 2y = 3(5) - 2( - 4) \\ = 15 + 8 \\ = 23 \\ \\ 2x + y = 2(5) + ( - 4) \\ = 10 - 4 \\ = 6[/tex]
Given: DA≈ WG and WA≈DG. Prove that DAW≈ WGD.
Answer:
Step-by-step explanation:
Statements Reasons
DA ≅ WG Given
WA ≅ DG Given
DW ≅ WD Reflexive property
ΔDAW ≅ ΔWGD SSS
