Answer:
Answer by josgarithmetic(37226) (Show Source): You can put this solution on YOUR website!
system%2810b%2B6p=17000%2C3b%2B20p=17000%29
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let +a+ = the cost of 1 pencil
Let +b+ = the cost of 1 book
---------------------------
(1) +6b+%2B+10a+=+17000+
(2) +3b+%2B+22a+=+17000+
----------------------
Multiply both sides of (2) by +2+
and subtract (1) from (2)
(2) +6b+%2B+44a+=+34000+
(1) +-6b+-+10a+=+-17000+
-------------------------
+34a+=+17000+
+a+=+500+
and
(1) +6b+%2B+10a+=+17000+
(1) +3b+%2B+5a+=+8500+
(1) +3b+%2B+5%2A500+=+8500+
(1) +3b+=+8500+-+2500+
(1) +3b+=+6000+
(1) +b+=+2000+
------------------
Step-by-step explanation:
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HELP
What is the length of line segment AB in the triangle shown below?
Answer:
the lenght of the segment ab is 15 inches
Lawyer Fees:
A lawyer charges a base (one time) fee of
$200 and $75 each hour for consulting with
her. What would be the equation to model the situation?
David Saw three ducks in a pond then he saw two more ducks on the path how many decks did David see all together
Answer:
5
Step-by-step explanation:
Can y’all help with this?
Answer:
Quadrilateral: shape with 4 sides
Perpendicular means at right angles. Therefore, draw two sides at a right angles to each other. Mark this with a right angle symbol.
Draw 2 sides that are parallel. Mark these with arrows.
Please see attached diagrams.
When graphing f(x)=a sin(bx) you would determine the functions period using which of the following?
A. The period is 2pi/b
B. The period is a
C. The period is pi/b
Explanation:
The value of 'a' out front in y = a sin(bx) determines the amplitude.
The b term helps us compute the period, which is 2pi/b for sine, cosine, secant, and cosecant functions.
For example, y = 2sin(3x) has an amplitude of 2 and period of 2pi/3
For tangent and cotangent functions, the period would be pi/b.
which represents factorization of the trinomial 10x^2 + 11x + 3 ?
(5x+3)(2x+1)
(5x+1)(2x+3)
(5x+1)(3x+3)
(5x+2)(3x+1)
Answer:
[tex](5x+3)(2x+1)[/tex]
Step-by-step explanation:
- Sum-product method
For a polynomial of the form [tex]ax^2+bx+c[/tex]
We rewrite the middle term as a sum of two terms whose product is
[tex]a*c = 10*3 = 30[/tex] and whose sum is [tex]b = 11[/tex]
[tex]10x^2 + 11x + 3[/tex]
[tex]10x^2 + 6x + 5x + 3 -- > (3*10 = 6*5), (6+5 = 11)[/tex]
- Factor using the greatest common factors (GCF)
[tex]2x(5x + 3) + 1(5x + 3)[/tex]
- Final Answer
[tex]= (5x+3)(2x+1)[/tex]
The value of the surface area of the rectangular prism is equal to the value of the volume of the rectangular prism. Write and solve an equation to find the value of x.
Answer:
Equation: 24x + 2(36) = 6(6x) or 24x + 72 = 36x Answer: x = 6
Step-by-step explanation:
24x + 72 = 36x
-24x -24x
72 = 12x
/12 /12
6 = x
simplify 9+ (-2)^3 HELP PLEASE
Answer:
1
Step-by-step explanation:
Raise -2 to the power of 3 = -8
9-8= 1
Answer:
1
Step-by-step explanation:
A number raised to the 3rd power is equal to that number multiplied by itself twice. Below I have expanded the expression to visualize this process. If this makes it more confusing, the main way is just to go from line 1 to line 4.
9 + (-2)³ <---- Original expression
9 + (-2 x -2 x -2) <---- (-2)³ expanded
9 + (4 x -2) <---- -2 times -2
9 + (-8) <---- 4 x -2
1 <---- 9 - 8
Daniel was offered a job after college earning a salary of $60,000. He will get a raise
of $4,000 after each year working for the company. Answer the questions below.
regarding the relationship between salary and the number of years working at the
company.
The independent variable, x, represents the
and the
dependent variable is the
because the
depends on the
A function relating these variables is M(x) =
So M (5) =
meaning 5
The independent variable represents the number of years that Daniel has worked.
The dependent variable is the total salary of Daniel. This is because it depends on the number of years worked.
M(5) is $80,000.
What is independent and dependent variable?
The independent variable is that is given. The dependent variable is the variable that is being determined. It is usually affected by the independent variable.
M(5) = $60,000 + (4000 X 5) = $80,000
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help please I really need help and thank you :))))
Answer:
14) x = 30°
15) x = 50°
Step-by-step explanation:
14) 60 + x = 90
x = 90 - 60
x = 30°
15) 130 + x = 180
x = 180 - 130
x = 50°
Hope this helps
Step-by-step explanation:
Is first image we are given a right angle and we know that right angle = 90°
So,
60 + x = 90
x = 90 - 60 = 30°
x = 30°
In the second image we are given a straight line and we know that on the 180° angle is a straight line.
so,
130 + x = 180
x = 180 - 130
x = 50°
Select the correct answer.
What is the general form of the equation for the given circle centered at O(0, 0)?
A.
x2 + y2 + 41 = 0
B.
x2 + y2 − 41 = 0
C.
x2 + y2 + x + y − 41 = 0
D.
x2 + y2 + x − y − 41 = 0
The general form of the equation for the given circle centered at O(0, 0) is x² +y² - 41=0.
The correct option is (B).
What is equation of circle?The general equation for a circle is ( x - h )² + ( y - k )² = r², where ( h, k ) is the center and r is the radius.
as, general equation for a circle is ( x - h )² + ( y - k )² = r²
Here, centered at O(0, 0).
So,
a =0 and b = 0
now, r² = (BO)²
r² = (4-0)² +(5-0)²
r² = 16+25
r² = 41
Hence, Center at the origin passing through B(4, 5) is x² +y² = 41.
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A rectangle has a length 10 more than its width. If the width is increased by 8
and the length by 4, the resulting rectangle has an area of 135 square units.
Part A
Write an equation to model the above scenario. Use the model to find the length
of the original rectangle?
powered by
esmos
Part B
What is the perimeter of the expanded rectangle?
Step-by-step explanation:
length = the original length
width = the original width
length = width + 10 or
width = length - 10
(length + 4) × (width + 8) = 135
A
now we are using the first equation in the second to solve then for length :
(length + 4) × (length - 10 + 8) = 135
(length + 4) × (length - 2) = 135
length² - 2×length + 4×length - 8 = 135
length² + 2×length = 143 or
length² + 2×length - 143 = 0
this is the equation to model the scenario.
solving in general such a quadratic equation :
x = (-b ± sqrt(b² - 4ac))/(2a)
in our case
x = length
a = 1
b = 2
c = -143
length = (-2 ± sqrt(2² - 4×1×-143))/(2×1) =
= (-2 ± sqrt(4 + 572))/2 =
= (-2 ± sqrt(576))/2 =
= (-2 ± 24)/2 = (-1 ± 12)
length1 = -1 + 12 = 11
length2 = -1 - 12 = -13
a negative solution for a length is not applicable, so,
length = 11
width = length - 10 = 11 - 10 = 1
B
the expanded length = 11 + 4 = 15
the expanded width = 1 + 8 = 9
the expanded perimeter is then
2×15 + 2×9 = 30 + 18 = 48
Jennifer needs to use a ladder to clean a second floor window on a building. If the window is 13 ft above the ground and the base of the ladder is 4 ft from the building, which equation below can be
used to determine the length (x) of the ladder needed to reach the window? Draw a picture
By using the Pythagoras theorem, the length of the ladder will be 13.6 feet.
What is a Pythagoras theorem?The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.
The Pythagoras theorem formula is given as
H² = P² + B²
Jennifer needs to use a ladder to clean a second-floor window on a building.
If the window is 13 ft above the ground and the base of the ladder is 4 ft from the building.
Then the length of the ladder will be
H² = 13² + 4²
H² = 169 + 16
H² = 185
H = 13.6 ft
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Answer: 4^2+13^2=x^2
Step-by-step explanation:
trust
Which ratio is equivalent to Sun U?
(IMAGE ABOVE)
SOMEONE PLEASE HELP ME ILL GIVE YOU BRAINLIST ANSWER!!!!!
Answer:
(a) SV/VW
Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to remind you of the relationship between trig functions and sides in a right triangle. This problem also makes use of the properties of similar triangles:
corresponding sides are proportionalcorresponding angles are congruent__
sine ratioThe sine of angle U is given by ...
Sin = Opposite/Hypotenuse
The side opposite angle U in ΔTUS is ST. The hypotenuse of that right triangle is side TU. This means the desired ratio is ...
sin(U) = Opposite/Hypotenuse = ST/TU
corresponding ratioIn similar ΔVWS, angle W has the same measure as angle U. Its sine will be the ratio of the corresponding sides. The similarity statement ΔTUS~ΔVWS tells you that the side corresponding to ST is SV, and the side corresponding to TU is VW.
sin(U) = sin(W) = SV/VW
Question 3 of 10
What is the value of y?
210
y +10°
O
A. 40°
OB. 50°
O C. 60°
OD. 30°
50⁰
Answer:
y = 40 degrees
Step-by-step explanation:
All three interior angles of a triangle sum to 180 degrees.
2y + y+10 + 50 = 180
3y + 60 = 180
3y = 120
y = 40
Which inequality represents all values of yfor which the product below is defined? √4x*√X+2
Use the law
√a√b=√ab
So
y=√4x(x+2)y=√4x²+8xGraph attached
12. The mean number of boxes of cookies sold by
each girl scout in Emma's troop was 28 with a
standard deviation of 8. If Emma's z-score
was -1.5, how many boxes of cookies did she
sell?
Answer:
Answer:
16
Step-by-step explanation:
i hope this help you
Please help asap!! drag each tile to the correct box.
arrange the steps in the correct order to solve this trigonometric equation.
cos^2x = 3sin^2x
cos²(x) = 3 sin²(x)
1 - sin²(x) = 3 sin²(x)
1 = 4 sin²(x)
1/4 = sin²(x)
± √(1/4) = sin(x)
± 1/2 = sin(x)
sin(x) = 1/2 or sin(x) = -1/2
[x = arcsin(1/2) + 2nπ or x = π - arcsin(1/2) + 2nπ]
… … … or [x = arcsin(-1/2) + 2nπ or x = π - arcsin(-1/2) + 2nπ]
(where n is any integer)
[x = π/6 + 2nπ or x = 5π/6 + 2nπ]
… … … or [x = -π/6 + 2nπ or x = 7π/6 + 2nπ]
The height of lava fountains spewed from volcanoes cannot be measured directly. Instead, their height in meters can be found using the equation y=1/2 gt^2
where y represents the height, g is 9.8, and t represents the falling time of the lava rocks. Find the height in meters of a lava rock that falls for 5 seconds.
The height in meters of a lava rock that falls for 5 seconds is; 122.5 m.
How to calculate height from quadratic equations?
We are told that the height is modelled by the equation;
y = ¹/₂gt²
where;
y represents the height.
g is 9.8 m/s²
t represents the falling time of the lava rocks.
Thus, at t = 5, we have;
y(5) = ¹/₂(9.8)(5)²
y(5) = 122.5 m
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Calculate the surface area of the composite figure
Answer:
Below in bold.
Step-by-step explanation:
Total surface area = 1/2 * area of a sphere + area of the side o a cone
= 1/2 * 4 π r^2 + π r L
= 1/2 * 4 π 7^2 + π*7*25
= 307.876 + 549.779
= 857.65 in^2 to nearest hundredth.
Find the area of the circle formed when a plane passes 7 cm from the center of a sphere with radius 8 cm. give your answer in terms of pi.
The area of the circle formed when the plane passes through the center of the given sphere is: 15π cm².
What is the Area of a Circle?Area of a circle = πr² (radius of the circle = r).
Given the following:
Radius of sphere = 8 cmDistance of the plane from the center of the sphere = 7 cmRadius of the circle = √((radius of sphere)² - (distance of the plane from the center of sphere²)) = √(8² - 7²)
Radius of the circle = 3.87 cm
Area of the circle = π(3.87²) ≈ 15π cm².
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Please help mee I'm gonna have a mental break downnn
Answer:
y[tex]\leq[/tex]-2/5x + 2
Step-by-step explanation:
-2/5x + 2 would be the slope and y intercept of the line
The line is solid, so it has to be either less than or equal to or greater than or equal to
It is shaded below the line, which means it has to be less than. you can tell this by looking at the closed end of the inequality sign. If it points left, you shade below, if it points right, you shade above.
You are a pharmacy technician at costco. you are responsible for filling prescriptions for patients
that are ordered by the doctors.
you are looking over a pharmacy order. a doctor ordered 180 ml of prednisone 2 mg/1ml. you
checked, and do not have 180 ml of prednisone 2 mg/1ml. at the moment, you only have 10 mg
tablets in stock and cherry syrup.
you want to make this order for the patient, and in order to do this, you need to calculate how
many 10 mg tablets you will need to mix cherry syrup, in order to create 180 ml of 2mg/1ml.
now, just to make sure you understand the metric system well, can you describe what ml
measures and how it compares to the base unit? what does mg compare and how does it
compare to the base unit?
Answer:
36 tablets
Step-by-step explanation:
We are asked to find the number of tablets of a particular mass that are required to give a specific mass-to-volume ratio for a given volume of solution. The units used are all SI (metric) units.
__
metric unitsThe International System of units (abbreviated SI in all languages) defines seven base units and a number of derived units. The base unit for length is the meter. For mass, the base unit is the kilogram. The derived unit for volume is the liter, which is 1/1000 of a cubic meter.
Currently, there are 20 prefixes defined that signify powers of 10 ranging from 10^-24 to 10^24. These are used in front of the abbreviations for units. Useful here are the prefixes kilo- and milli-, standing for 10^3 and 10^-3, respectively. The relevant abbreviations are ...
m - meterg - graml or L - liter (often L is used in order to avoid confusion)k - kilom - milliIn this problem, the volume of syrup used is 180 ml, or 180×10^-3 liters. The mass of medicine in one tablet is 10 mg, or 10×10^-3 grams.
__
mass of medicineWe desire a solution with a concentration of 2 mg/ml. We want 180 ml of the solution, so the mass of medicine that needs to be incorporated is ...
(180 ml)×(2 mg/ml) = 360 mg
number of tablets
Each tablet supplies 10 mg of medicine. To get 360 mg of medicine, we need n tablets, such that ...
n(10 mg) = 360 mg
n = (360 mg)/(10 mg) = 36 . . . . tablets
36 tablets of 10 mg each are needed to mix with 180 ml of syrup to give 2 mg/ml.
Solve the inequality: 10+5≥25
A:≥2
B: ≥30
C: ≥3
D: ≥20
Answer:
no c is write
Step-by-step explanation:
10+5≥ 25
10-10+5≥ 25-10
0+5≥ 15
≥3 ans…
Answer: The correct answer choice A: ≥2
Step-by-step explanation:
10+5>25 is false
Let's solve your inequality step-by-step.
10x+5 ≥ 25
Subtract:
[tex]10x+5-5[/tex] ≥ [tex]25-5[/tex]
[tex]10x[/tex] ≥ [tex]20[/tex]
Divide:
[tex]\frac{10x}{10}[/tex] ≥ [tex]\frac{20}{10}[/tex]
[tex]x[/tex]≥[tex]2[/tex]
10+5≥25 is False: The left side 15 is less than the right side 25, which means that the given statement is false.
you may mean 10x+5≥25, if so your answer is A.
Two angles are supplementary.
measures (4x + 9)° and the other angle measures
(x + 1)°. What is the measure of the smaller
angle?
Answer:
35°
Step-by-step explanation:
If 2 angles are supplementary, that means they add up to 180 :
Now we make an equation and solve for x :
(4x+9) + (x+1) = 180
5x+10 = 180
5x = 170
x = 34
Now we find the measure of the smaller angle using our value of x :
x+1 = 34 +1
x+1 = 35
Hope this helped and have a good day
URGENT
Christian installed an electric pump to pump water from a borehole into a 30 000 litre cement dam. If the water is pumped at a rate of 75 litres per minute. How long does it take to fill the dam? A 4 h
B. 6 h 40 min
C 6 h 20 min
D 3 h 40 min
What is the value of v? With working out please
Answer:
v = 130
Step-by-step explanation:
substitute the given values for u, a and t into the equation
v = 32 + ( 9.8 × 10) = 32 + 98 = 130
Two different cross sections are taken parallel to the base of a three-dimensional figure. The two cross sections are the same shape, but are not congruent. Which could be the three-dimensional figure?.
The geometric figures which could be this three-dimensional figure are:
ConeTriangular pyramidSquare pyramidWhat is a cross section?A cross section can be defined as an exposed surface or shape that is formed when a cut is made through a three-dimensional figure.
In this scenario, the geometric figures which could be this three-dimensional figure are:
Cone: when cut horizontally, its cross section would always form a circle of different sizes.Triangular pyramid: when cut horizontally, its cross section would always form a triangle of different sizes.Square pyramid: when cut horizontally, its cross section would always form a square of different sizes.Read more on here: https://brainly.com/question/2459472
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Julia has 15 nails she uses 8 to build a birdhouse she substract to find the number of nails left.wich addition sentence can use to check her work
Answer:
8+7=15
Step-by-step explanation:
15-8=7
so if she adds 8 to 7 and she gets 15 she did it right.
Answer: Julia can use 7 + 8 = 15 to check her work.
Step-by-step explanation: As fifteen minus eight equals seven, Julia can check her work by performing the inverse operation of seven plus eight to check her work. This is true as when c - b = a, a + b = c.
3. a local sports store charges $22.33 for a football and 6% tax. how much
will the total price be to purchase the football? *
Given the charges for a football and the tax rate, the total price to purchase a football is $23.6698.
How much will the total price be to purchase the football?
Given that;
Charges for a football = $22.33Tax rate = 6%Total price to purchase football = ?First, we calculate the tax price on the football.
Tax price = Tax rate × Charges for the football
Tax price = 6% × $22.33
Pax price = 0.06 × $22.33
Tax price = $1.3398
Now, total price to purchase football will be;
Total price = Charges for a football + Tax price
Total price = $22.33 + $1.3398
Total price = $23.6698
Given the charges for a football and the tax rate, the total price to purchase a football is $23.6698.
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