Answer: Answer is In the step-by-step EXPLANATION.
Step-by-step explanation: Let's Begin,
Amanda and Ndiba are selling flower bulbs for a school fundraiser. Customers can buy packages of tulip bulbs and bags of daffodil bulbs. Amanda sold 6 packages of tulip bulbs and 12 bags of daffodil bulbs for a total of $198.
6t + 12d = 198
Ndiba sold 7 packages of tulip bulbs and 6 bags of daffodil bulbs for a total of $127.
7t + 6d = 127
So when you find, the cost of each package of tulips bulbs and one bag of daffodil bulbs.
Use elimination here, multiply the 2nd equation by 2, subtract the 1st equation
14t + 12d = 254
Then, 6t + 12d = 198 -subtraction eliminates d, find t
8t + 0 = 56
t = 56/8
t = $7 for tulips
Find d using the 1st equation, t=7
6(7) + 12d = 198
42 + 12 d = 198
12d = 198 - 42
d = 156/12
d = $13 for daffodils
And I think that's it.
What is the value of x in the solution to the system of linear equations? y=3x+2
y=x-4
What is the sum of -26 and -37?
Answer:
-66
Step-by-step explanation:
add the numbers
-26 -37 = -66
[tex] - 26 - 37 = - 63[/tex]
Whenever the sign of the numbers is same , add them but don't forget the negative sign.
Please give brainliest
WILL GIVE BRAINLIEST, ANSWER FAST PLEASE
Answer:
[tex]2( \frac{2}{5} x + 2) = \frac{4}{5} x + 4[/tex]
Step-by-step explanation:
Use the distributive property.
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
Considering the probability you found in part D, which option makes more sense for Jake to choose? Explain your reasoning.
The probability that can be chosen by Jake will be 33.5%.
How to calculate the probability?The area of the whole dartboard will be:
= πr²
where r will be:
= 3 + (4 × 4)
= 3 + 16
= 19
Area = π(19)² = 361π²
The area of 30, 40, and 50 points will be:
= π × [3 + (2 × 4)]²
= 121π²
The probability will be:
= (361π - 121π) × 100
= 33.5%
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Find the x-intercepts for the parabola defined
by this equation:
y = x² + 3x - 4
Write your answer as two ordered pairs
Answer:
(-4,1)
Step-by-step explanation:
Factoring, Guess and check.
A square has side lengths of 1.9 centimeters. what's the area of square?
Answer:
3.61cm^2
Step-by-step explanation:
1.9 * 1.9 = 3.61
What is a corresponding angle?
Answer:
the angles which occupy the same relative position at each intersection where a straight line crosses two others. If the two lines are parallel, the corresponding angles are equal
Answer:
I was taught like this.
Corresponding has emphasis on the word pond
Fish live in a pond
Therefore, it has to be an angle F
Slope of (-4,-7) and (-2,-19)
Hi student, let me help you out! :)
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
We are asked to find the slope of (-4, -7) and (-2, -19).
[tex]\triangle~\fbox{\bf{KEY:}}[/tex]
Use the slope formula.Here's the slope formula:
[tex]\star~\boxed{\mathrm{\cfrac{y2-y1}{x2-x1}}}[/tex]
Where
y2 and y1 are y-coordinates
x2 and x1 are x-coordinates
Input the values, which are:
-19: y2
-2: x2
-7: y1
-4: x1
[tex]\star~\mathrm{\cfrac{-19-(-7)}{-2-(-4)}}[/tex]
[tex]\star~\mathrm{\cfrac{-19+7}{-2+4}}[/tex]
Simplify!
[tex]\star~\mathrm{\cfrac{-12}{2}}[/tex]
[tex]\star~\mathrm{-6}[/tex]
Hope it helps you out! :D
Ask in comments if any queries arise.
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~Just a smiley person helping fellow students out :)
What is the value of the expression 9+4n-1 when n = 3?
can someone please explain how to factor a polynomial. {will mark as brainliest}
To factorize a polynomial you need to find the zeros, and then you can write the polynomial as a product of bynomials.
How to factor a polynomial?
For a polynomial of the form:
[tex]p(x) = A_n*x^n + A_{n-1}*x^{n-1} + ... + A_1*x + A_0[/tex]
We define the zeros as the values of x such that:
p(x) = 0.
On the above case, the degree of the polynomial is n (the maximum exponent). Then the number of zeros of the polynomial is n (same as the degree).
Once we know the n zeros, we can factorize the polynomial as:
[tex]p(x) = A_n*(x - x_1)*(x - x_2)*...*(x - x_n)[/tex]
For example, for the polynomial:
[tex]p(x) = 2x^2 - 8[/tex]
The two zeros are x = 2 and x = -2, then it can be rewriten as:
[tex]p(x) = 2*(x + 2)*(x - 2)[/tex]
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The Chang family is on their way home from a cross-country road trip. During the trip, the function D(t)=3260−55t can be used to model their distance, in miles, from home after t hours of driving.
part A:Find D(12) and interpret the meaning in the context of the problem.
part B: If D(t)=2490, find the value of t and interpret its meaning in the context of the problem.
Considering the given function, we have that:
a) D(12) = 2600, which means that after 12 hours of driving, the family is 2600 miles from home.
b) D(t) = 2490 when t = 14, which means that the family is 2490 miles from home after 14 hours of driving.
What is the function in this problem?The distance that the family is from home, after t hours of driving, is given by:
D(t) = 3260 - 55t.
Then, after 12 hours, the distance is given by D(12), that is:
D(12) = 3260 - 55 x 12 = 2600.
D(12) = 2600, which means that after 12 hours of driving, the family is 2600 miles from home.
D(t)=2490, hence:
3260 - 55t = 2490
55t = 770
t = 770/55
t = 14
D(t) = 2490 when t = 14, which means that the family is 2490 miles from home after 14 hours of driving.
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Make this into an expression. the product of four and a number, divided by seven
Answer:
4x ÷ 7
Step-by-step explanation:
the product of 4 and a number (x)
would be 4x. Then you would divide by 7.
Which of the following is a solution made up by x + y=27 and y=2x?
Answer:
4. x = 9 and y = 18
Step-by-step explanation:
Hello there!
When given such a problem we have to methods to handle this:
substitution methodelimination method.On this problem, let's limit ourself to substitution method;
x + y = 27 ..................... eq.1
y = 2x ........................ eq.2
Eq.2 is already manipulated. Substitute it into eq.1
x + y = 27
=> x + 2x = 27
3x = 27
x = 9
Substitute x into eq.2
y = 2 (9)
= 18
In terms of x and y;
(x, y) => (9, 18)
I hope this helps you.
Have a nice time and nice studies.
1. You have a fair coin, flipping the coin has a 50% chance of showing a head. What is the probability of getting all heads when flip 10 times.
Answer:
1 / 1024
Step-by-step explanation:
Each flipping has 1/2 chance
In ten flippings:
[tex](\frac{1}{2} )^{10} =\frac{1^{10} }{2^{10} } =\frac{1}{1024}[/tex]
Hope this helps
The formula for the volume, V, of a cone having the radius, r, and the height, h, is shown below.
Write the formula to calculate the height, h.
The formula for calculating the height is h = 3V/πr²
Subject of the formulaThe formula given is the formula for calculating the volume of a cone
V = 1/3πr²h
where
h is the height
r is the radius
Make h the subject of the formula
Cross multiply
3V = πr²h
Divide both sides by πr²
3V/πr² = πr²h/πr²
h = 3V/πr²
Hence the formula for calculating the height is h = 3V/πr²
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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.
2y = x + 10
3y = 3x + 15
2y=x+10
3y=3x+15
2y-10=x
3y=3(2y-10)+15
2y-10=x
3y=6y-30+15
2y-10=x
0=3y+15
2y-10=x
3y=15
x=2y-10
y=5
2y=x+10
2×5=x+10
x=0
x=0, y=5
Coach palmer makes 9 quarts of iced tea. she fills 12 bottles with 2 cups of iced tea each to share with her team. how many quarts of iced tea are left?
The amount of iced tea left in quartz is 3 quartz
How to find amount of tea left in quartz?
The coach makes 9 quarts of iced tea.
she fills 12 bottles with 2 cups of iced tea each to share with her team.
1 quartz = 4 cups
Therefore, she shared the following amount of tea in cups:
amount shared = 12 × 2 = 24 cups
Then, let's convert to quartz,
4 cups = 1 quartz
24 cups = ?
amount shared in quartz = 24 / 4 = 6 quarts
Therefore,
the amount of ice tea left = 9 - 6 = 3 quartz
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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]
Triangle DEF, with vertices D(9,-8), E(8,-3), and F(2,-5), is drawn inside a rectangle,
as shown below.
What is the area, in square units, of triangle DEF?
[
Answer: A=?
units²
The area of the triangle DEF is 2 square units
How to determine the area?The given parameters are:
D(9,-8), E(8,-3), and F(2,-5),
The area of the triangle is calculated using:
Area = 0.5|x1 * (y2 -y3) + x2 * (y1 -y3) + x3 * (y2 -y1) |
This gives
Area = 0.5|9 * (-3 + 5) + 8 * (-8 + 5) + 2 * (-3 + 8) |
Evaluate
Area = 0.5|4|
Expand
Area = 2
Hence, the area of the triangle DEF is 2 square units
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Find Median of 10,12,14 and 16
Step-by-step explanation:
the median is the value, where half of the other values is smaller (or equal), and the other half bigger (or equal).
with an even number of data points that is not directly possible to find.
in this case the 2 middle values are taken and their mean value is the median.
in our case, the 2 middle values are 12 and 14.
their mean value is
(12+14)/2 = 26/2 = 13
so,
13 is the median (even though if is not a data point itself).
Translate the shape A three squares right and three squares up.What are the coordinates of the vertices of the image?
Answer:
see explanation
Step-by-step explanation:
a translation of 3 squares right means add 3 to the x- coordinate
a translation of 3 squares up means add 3 to the y- coordinate
then
(1, 1 ) → (1 + 3, 1 + 3 ) → (4, 4 )
(3, 1 ) → (3 + 3, 1 + 3 ) → (6, 4 )
(1, 4 ) → (1 + 3, 4 + 3 ) → (4, 7 )
answer is 8.99, but how tho
Answer:
x ≈ 8.99
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relationship between trig functions and sides in a right triangle. Here, the geometry of the problem can be modeled by a right triangle. We are given one side and want to find the difference in lengths of the other side for two different angles.
__
setupThe tower height is the side opposite the angle of elevation. The distance from the tower to the end of the shadow is the side adjacent to the angle of elevation, so the relevant trig relation is ...
Tan = Opposite/Adjacent
tan(angle of elevation) = (tower height)/(length of shadow)
Solving for the length of shadow, we have ...
length of shadow = (tower height)/tan(angle of elevation)
The difference in shadow lengths is 2x for the two different angles, so we have ...
2x = 24.57/tan(30°) -24.57/tan(45°)
__
solutionDividing by 2 and factoring out the tower height, we have ...
x = 12.285(1/tan(30°) -1/tan(45°)) = 12.285(√3 -1)
x ≈ 8.993244
The value of x is about 8.99.
Please help i dont know what to do :(
In AGHI, ZG=590 Zl=900, and h=67m.
What is the length off-to the nearest metre?t9i& t)
* BRAINLIEST IT WILL AFFECT MY GRADE!! *
Problem 5.2
Here are three lines that intersect at
one point.
Determine the values of x, y, and z
Answer:
z=98 degrees
x=64 degrees
y=18 degrees
Step-by-step explanation:
y is congruent to 18 since theyre opposite of eachother, same with x and 64. find z by using the straight 180 line. (180=64+18+z, so z=98)
garcia is modeling the equation 5x
three consecutive odd integers have a sum of 51. what is the smallest integer
Answer:
15
Step-by-step explanation:
Let 2n+1 be the first odd integer.
Therefore, the consecutive odd integers will be 2n+3 and 2n+5
If the sum of the consecutive odd integers is 51 then:
⇒ 2n + 1 + 2n + 3 + 2n + 5 = 51
⇒ 6n + 9 = 51
⇒ 6n = 42
⇒ n = 7
To find the values of the integers, substitute the found value of n into the expressions:
First integer: 2(7) + 1 = 15Second integer: 2(7) + 3 = 17Third integer: 2(7) + 5 = 19Therefore, the three consecutive odd integers that sum to 51 are 15, 17 and 19. The smallest of which is 15.
What is the median of the following data set?
{6, 3, 9, 1, 7}
A. 3
B. 6
C. 8
D. 9
Find the value of x and y from the following figure.
Answer:
X=70
Step-by-step explanation:
aw we can for a triangle, where the 2 angles are complementary from the outer ones, so the 2 angles are 50, and 60
so the third one will be 70