Answer:
5/96
Step-by-step explanation:
Solve the following system of equations: x − 2y = 14 x + 3y = 9 (1, 12) (−1, −12) (12, −1) (12, 1)
Answer:
work is shown and pictured
answer is c
Answer:
the correct answer among the choices is C
Step-by-step explanation:
Pedro compró un minigimnasio para ejercitarse
en casa y mejorar su condición física. En la
compra le hicieron dos descuentos sucesivos del
30% y el 20%. Si ahorró S/ 352, ¿cuánto pagó?
Answer:
Pedro pagó $448
Step-by-step explanation:
Sea P el precio inicial de un objeto.
Si aplicamos un descuento del X%, entonces el nuevo precio del objeto es:
NP = P*(1 - X%/100%)
y lo que estamos ahorrando es:
P - NP
En este caso, primero tenemos un descuento del 30%, entonces:
NP = P*(1 - 30%/100%) = P*(1 - 0.3)
Luego tenemos otro descuento, esta vez del 20%, entonces:
NP' = NP*(1 - 20%/100%) = P*(1 - 0.3)*(1 - 20%/100%) = P*(1 - 0.3)*(1 - 0.2)
Lo que Pedro ahorra es igual a $352
entonces:
P - NP' = $352
P - P*(1 - 0.3)*(1 - 0.2) = $352
P*(1 - (1 - 0.3)*(1 - 0.2)) = $352
P*(1 - 0.56) = $352
P = $352/(1 - 0.56) = $800
Esto significa que el precio original era $800.
Y lo que pedro pago esta dado por la ecuación:
NP' = P*(1 - 0.2)*(1 - 0.3) = $800*(1 - 0.2)*(1 - 0.3) = $448.
Some money is shared between erin, faye and sachin in the ratio 5:2:7. Faye gets £90 less than sachin. How much money did Erin get?
Answer:
Erin gets £90
Step-by-step explanation:
Ratio = 5 : 2 : 7
Money with Erin = 5x
Money with Faye = 2x
Money with Sachin = 7x
Faye gets £90 less than Sachin
7x - 2x = 90
5x = 90
x = 90/5
x = 18
Money with Erin = 5*18 = 90
22/5 divided by 2/3 can anyone help me with this I typed the right answer but it’s not telling me anything else
Answer:
To divide fractions you would just cross multiply. like if it's 1/2 divided by 1/2 it would pretty much just be 1/2x2/1, which is 2/2 (equal to 1) which is the correct answer to that equation.
Step-by-step explanation:
Answer:
The photo is below.
Step-by-step explanation:
Correction... the mixed number is 6 3/5
sorry lol
There are 2 girls and 7 boys taking swimming lessons. The ratio that compares the number of girls taking swimming lessons to the total number of students taking swimming lessons can be written three different ways. Enter the three different ways .
I NEED HELP ASAP
Answer: 2:9, 2 to 9, 2/9
What is the value of x? Enter your answer in the box. X = cm 5 cm 48 cm 40 cm
The value of x in the similar triangle is 6 units.
How to find side of similar triangle?Two triangles are said to be similar if their corresponding angles are congruent and the corresponding sides are in proportion .
Therefore, let's use the similarity ratio to find the value of x in the similar triangle as follows:
Hence,
5 / 40 = x / 48
48 × 5 = 40x
240 = 40x
divide both sides by 40
x = 240 / 40
x = 6
Therefore,
x = 6
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Gabriela's grandparents want to take her clothes shopping. She finds her favorite style of jeans and a
type of sweater she really likes. To test her math skills, her grandparents tell her if she can determine
the cost of each without looking at price tags, they will pay for the whole shopping trip!
If she buys two pair of jeans and five sweaters, it will cost $147.50 before taxes. But if she buys 4 pair of
jeans and three sweaters, it will cost $162.70.
The cost of jeans is $ 26.5 and the cost of a sweater is $ 18.9
System of linear equations:
To solve this problem, we can set up a system of two linear equations, where the variables are the cost of one pair of jeans and the cost of one sweater.
The coefficients of the variables are the number of jeans and sweaters being purchased in each scenario, and the constants are the total costs of each scenario.
Form the equation and solve them by elimination method to find the value of variables and the cost.
Here we have
If she buys two pairs of jeans and five sweaters, it will cost $147.50 before taxes.
But if she buys 4 pairs of jeans and three sweaters, it will cost $162.70.
Let x be the cost of jeans and y be the cost of sweaters
From the data,
The cost of two pairs of jeans and five sweaters is $147.50
=> 2x + 5y = 147.50 ---- (1)
The cost of 4 pairs of jeans and 3 sweaters is $162.70.
=> 4x + 3y = 162.70 ---- (2)
4 × (1) => 8x + 20y = 590 ---- (3)
2 × (2) => 8x + 6y = 325.4 ---- (4)
Subtract (4) from (3)
=> 8x + 20y - 8x - 6y = 590 - 325.4
=> 14y = 264.6
=> y = 18.9
Substitute y = 18.9 in (1)
=> 2x + 5(18.9) = 147.50
=> 2x + 94.5 = 147.50
=> 2x = 53
=> x = 26.5
Therefore,
The cost of jeans is $ 26.5 and the cost of a sweater is $ 18.9
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22. The diameter of circle F is 8; AB = 10; and AB, BC, and AC are tangent to circle F.
What is the perimeter of triangle ABC?
The perimeter of the triangle ABC is 60units
What is perimeter of a triangle?A triangle is a polygon with three sides having three vertices.
Perimeter is a math concept that measures the total length around the outside of a shape.
Since the radius of the circle is 4,
The hypotenuse = 6+x
base = 4+x
Using Pythagorean theorem
(6+x)² = 10² + (4+x)²
36+12x +x² = 100+ 16 + 8x + x²
collecting like terms
116-36 = 12x -8x
80x = 4x
x = 80/4
x = 20
Therefore ;
hypotenuse = 20+6 = 26
base = 20+4 = 24
Perimeter of the triangle = 26+24+10
= 60 units
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1. The proportion, p, of consumers who shop with coupons
is the ratio of the number, C, of consumers who use coupons
to the number, N, of consumers asked. Write an equation
for the proportion of consumers who shop with coupons.
The equation for the proportion, p, of consumers who shop with coupons is: p = C/N where C is the number of consumers who use coupons and N is the total number of consumers asked.
What is equation?An equation is a mathematical statement that indicates the equality of two expressions. It consists of two expressions separated by an equal sign (=). The expression on the left side of the equal sign is equivalent to the expression on the right side. Equations can have one or more variables, which are usually represented by letters such as x, y, or z. The goal in solving an equation is to determine the value(s) of the variable(s) that make the equation true. This involves manipulating the expressions on both sides of the equal sign using algebraic operations such as addition, subtraction, multiplication, and division, to isolate the variable on one side of the equation. Equations are used in many areas of mathematics and science to represent relationships between variables and to solve problems. They are also used in various fields such as engineering, physics, and economics to model real-world situations and make predictions based on mathematical analysis.
Here,
This equation represents the ratio of the number of consumers who use coupons to the total number of consumers. It is commonly used in statistics and market research to measure the prevalence of a certain behavior or preference among a population. By calculating the proportion of consumers who use coupons, businesses can make informed decisions about their pricing strategies, promotions, and advertising campaigns.
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NEED HELP QUICK please math question
Answer:
C. 32,500
Step-by-step explanation:
the pattern is adding by 4.
Which properties could you use to solve the following expression?
3 + 7 + 2 + 5 + 9
A
commutative, distributive and associative
B
associative and commutative
C
distributive and associative
D
associative only
Answer:
associative only!!!!!!!!!!!!!
A polar bear migrate north during winter to hunt for its food on sea ice. The daily average temperature decreases 3°C for every 100 km traveled. At the start of the bear's journey, the temperature is 2"C. What is the temperature after 200 km of its journey ?
Answer:
The average temperature after 200 kilometers of journey is -4 °C.
Step-by-step explanation:
The situation shows that change in average temperature is directly proportional to travelled distance:
\(T = 2^{\circ}C - \frac{3^{\circ}C}{100\,km} \cdot (200\,km)\)
\(T = -4^{\circ}C\)
The average temperature after 200 kilometers of journey is -4 °C.
Answer:
The temperature after 200 km of its journey is -4°C
Step-by-step explanation:
To find the new temperature, first, you need to find how much the temperature decreases, and then subtract this temperature decrease to the initial temperature.
The temperature decreases 3°C for every 100 km travelled, then, after 200 km the temperature decreases 2*3 = 6 °C.
At the start of the bear's journey, the temperature was 2 °C, after 200 km the temperature is 2 - 6 = -4°C
Suppose we have already saved $55 towards the cost of a new television set.
We plan to save $6 more each week for the next several weeks.
i) Write an equation for the total amount T we will have after w weeks from now.
ii) Find the total amount that would be saved after 8 weeks.
Step-by-step explanation:
T = 55 + 6w
after 8 week $103
Which is equivalent to (x+3)(x-5)
Answer:
x^2 -2x -15
Step-by-step explanation:
by multiplying the 2 brackets
x^2
-5x + 3x = -2x
3 * -5= -15
Judy got 27 546 points and 34 668 points in the first two rounds of a
game. How many points did Judy get in all?
Answer:
62 214Step-by-step explanation:
Given,
Points got by Judy in 1st round = 27 546
Points got by Judy in 2nd round = 34 668
Therefore,
Total points Judy got in the first two rounds
= 27 546 + 34 668
= 62 214 (Ans)
Help please! Show all your work.
Answer:
If y and x have a proportional relationship, then we can write an equation of the form y = kx, where k is a constant of proportionality.
To find the value of k, we can use the given values of y and x:
y = kx
24 = k(12)
k = 2
Now that we know k, we can use the equation to find the value of y when x=16:
y = kx
y = 2(16)
y = 32
Therefore, when x=16, y=32.
how to solve
y x 6 for y = 2/3
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 4
Explanation:
2/3 x 6 = 2/3 x 6/1 = 12/3 = 4
I hope this helped!
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Use the substitution method to solve the system of equations. Choose the
correct ordered pair.
y = 12x-8
y = 8x
A. (4, 12)
B. (5, 11)
C. (2,16)
O D. (3, 15)
Answer:
C. (2,16)
Step-by-step explanation:
\(y=12x-8\\y=8x\\\\\\8x=12x-8\\-4x=-8\\x=2\\\\y=8(2)=16\)
Answer:
It might be B
Step-by-step explanation:
12(5)-8
8(11)
52
88
The graph below shows the solutions to which inequality?
A. x^2-3x+3 ≥0
B. x² + 3x-3 <0
C. x²-3x+3<0
D. x² + 3x-3>0
The inequality expression that corresponds to the solution of the inequality graph is x² + 3x - 3 < 0.
option B.
What is the solution of the inequality?The inequality expression that corresponds to the solution of the inequality graph is determined by simplifying the equations as follows;
The solution of the graph,
x > -4 and x < 1
The first equation with "≥" is ruled out because the graph doesn't have a thick dot.
Let's simplify the second expression;
x² + 3x - 3 < 0
solve using quadratic formula;
x > -3.79 or x < 0.79
The third expression is ruled out since its solution will be complex.
For the last expression;
x² + 3x - 3 > 0
x < -3.79 or x > 0.79
Thus, the correct inequality expression is x² + 3x - 3 < 0.
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A baker makes 51 loaves of bread in 8 1/2 hours. What is the unit rate for the number of loaves in one hour. I need a answer pleaseee
Answer:
6
Step-by-step explanation:
51 divided by 8.5
spaghetti packs are sold in 3 different sizes
a 500g pack is on offer for 3 for £1.39.
a 1kg pack costs £1.03
a 2kg pack costs £1.97
which pack is the best value for money?
Answer:
2kg for 1.97 is indeed the best option
Calculate the slope (2,-5) and (4,3)
Answer:
Slope = 4
Step-by-step explanation:
The slope of a line can be calculated using the following formula:
\( \frac{y2 - y1}{x2 - x1} \)
From the question can put the points as:
(2, -5) as (x1, y1)
and
(4, 3) as (x2, y2)
Therefore, we can put in the values into the formula to solve for the slope.
\( \frac{3 - ( - 5)}{4 - 2} \\ = \frac{3 + 5}{2} \\ = \frac{8}{2} \\ = 4\)
Please help explanation if possible
9514 1404 393
Answer:
steeperup (4 units)Step-by-step explanation:
When the equation of the line is in the form ...
y = mx + b
the coefficient 'm' is the slope of the line, and the value 'b' is the y-intercept, the point on the y-axis where the line crosses.
We say the line is "steeper" when the magnitude of the slope is greater. Line B, with its slope of 7 will be steeper than line A, with its slope of 3.
the new slope is steeper
__
The y-intercept of line A is -3. The y-intercept of line B is +1, so it crosses the y-axis above the point where line A crosses. One could say that line B is shifted up, when referring to the y-intercept.
What are the solution(s) of the quadratic equation 98 – x2 = 0?
Answer:
49
Step-by-step explanation:
98-x2=0
-98 -98
\(\frac{x2}{2}\) \(\frac{98}{2}\)
49
What is the midline equation of the function? do I add 5.5 to 3.5 then divide ? Thanks in advance
Answer:
The midline of the function is y = 2.
Step-by-step explanation:
Midline is the horizontal line that passes exactly in the middle between the graph's maximum and minimum points.
The midline of a sinusoidal function passes exactly in the middle of its extreme values.
Since the amplitude of a sinusoid is equal to the vertical distance from its midline to one of its extrema, we can calculate the midline using one of the following formulas.
midline = max value − amplitude
midline = min value + amplitude
According to the graph, the maximum value of the function is 5.5, and the amplitude is 3.5.
So, the midline is
midline = max value − amplitude
midline = 5.5 − 3.5 = 2
A sphere has a radius that is 9 inches long. What is the volume of the sphere?
Answer:
given
radius (r) = 8 inch
now,
V=4/3πr^3
=4/3×π×9^3
=3053.62806in³
Noah’s remote control car moved 12 feet in 6 seconds. Which graph has a slope that best represents Noah’s car’s average rate of speed?
We want to find a graph that represents Noah's average speed.
We define the average speed as the quotient between the distance moved and the time it takes to move that distance, then in this case we will have:
s = 12ft/6s = 2ft/s
Then we can define a linear equation:
y = (2ft/s)*x
As the distance that Noah travels in x seconds.
The graph of the given linear function can be seen below, and that is the graph with the slope that best represents Noah's average speed.
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Which relations are functions?
Select Function or Not a function for each graph.
Answer:
A and C are not functions, B and D are functions.
Step-by-step explanation:
If you were to stick a vertical line on the graph, and it passes through the line of the graph more than once, it is not a function.
I hope this helps :)
How do I graph this line with slope of 1/3 passing through the point (-1, -1)
Answer: See attached
Step-by-step explanation:
is 4-(-10)=14 a true statement
Answer:
Yes, it is a true statement
Step-by-step explanation:
Since two negatives cancel out the equation would be
4 + 10 and that equals 14.
So the statement is true!