Answer:
B)
Step-by-step explanation:
4y = 3x + 5 has a slope of 3/4
4y = 3x - 1 has a slope of 3/4
parallel lines have equal slopes
The equation of a straight line that is parallel to the line 4y = 3x + 5 is B. 4y = 3x - 1.
To find an equation of a straight line that is parallel to the given line 4y = 3x + 5, we need to identify the equation that has the same slope as the given line
The given line is in the form 4y = 3x + 5. We can rewrite this equation in slope-intercept form (y = mx + b) by dividing both sides by 4:
y = (3/4)x + 5/4.
The slope of the given line is (3/4).
To find a parallel line, we need to choose an equation with the same slope of (3/4). Among the options provided:
A. y = 3x + 5 - The slope of this line is 3, not (3/4), so it is not parallel.
B. 4y = 3x - 1 - This line has a slope of (3/4), making it parallel to the given line.
C. 3y = 4x - 3 - The slope of this line is (4/3), not (3/4), so it is not parallel.
D. 4y = x + 5 - The slope of this line is (1/4), not (3/4), so it is not parallel.
Therefore, the equation of a straight line that is parallel to the line 4y = 3x + 5 is B. 4y = 3x - 1.
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Sami made $23,400 last year in income from his job. He worked 30 hours per week and worked all 52 weeks of the year. What is his hourly and weekly pay rate
Answer:
$15 / hr
$450 / week
Step-by-step explanation:
30 h x 52 w = 1560 hrs
$23400 / 1560 = $15 / hr
$15 * 30 hrs = $450 / week
The variables x and y are inversely proportional, and y = 2 when x = 3. What is the value of y when x = 9?
Answer:
[tex] \huge \purple{ \boxed{ y = \frac{2}{3} }}[/tex]
Step-by-step explanation:
Since, the variables x and y are inversely proportional.
[tex] \therefore \: y \: \: \alpha \: \: \frac{1}{x} \\ \implies \: y = \frac{k}{x} \\ (k = constant) \\ \implies \: xy = k ...(1)\\ plug \: y = 2, \: \: x = 3 \: in \: equation \: (1) \\ we \: find \\ 2 \times 3 = k \\ k = 6 \\ plug \:k = 6 \: in \: equation \: (1) \\ xy = 6 \\ (this \: is \: the \: equation \: of \: variation) \\ when \: x = 9 \: \: y =? \\ \\ 9y = 6 \\ y = \frac{6}{9} \\ \huge \red{ \boxed{ y = \frac{2}{3} }}[/tex]
each day on the way to work emily stops to get a large latte and a scone the latte cost $4.85 the scone cost $2.25 she works 20 days a month
How much she spend each month?
Joe ate twice as many pieces of Halloween candy as Ed. Together they ate 48 pieces.
How many pieces of candy did Ed eat?
A. 12
B. 16
C. 24
D. 32
Answer: 16
Step-by-step explanation:
Let the number of candy Ed took be denoted as "x"
Since Joe ate twice the amount of candy Ed ate, then the number of candies joe ate will be denoted as "2x"
Since all together they ate a total of 48 candies, then the sum of the candies eaten by Joe and Ed is what gives a total of 48
This means:
2x + x = 48
3x = 48
X = 16.
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Please help this assignment is over due and I don't get it thx ;)
Answer:
45
Step-by-step explanation:
9 x 5 = 45
45 / 9 = 5
45 is the answer!
Ana is baking cookies for her family reunion. Her recipe uses 3/4 cup sugar and has a yield of 24 cookies. How many cups of sugar will Ana need if she wants to bring 10 dozen cookies? (1 dozen = 12).
9514 1404 393
Answer:
3 3/4 cups
Step-by-step explanation:
The yield from 3/4 cup of sugar is 2 dozen cookies. Multiply that by 5 and you get: the yield from 15/4 cups of sugar is 10 dozen cookies.
As a mixed number 15/4 = 3 3/4.
Ana will need 3 3/4 cups of sugar for 10 dozen cookies.
Answer:
Solution given:
recipe use 3/4 cup of sugar for 24 or 2 dozen Cooke's
now
we have
2 dozen=3/4 cup of sugar
10dozen=3/4×10/2=15/2 cup of sugar is needed
What is the slope of the line shown below? (Enter your answer as a decimal if
necessary.)
(-2, 4)
(4,-5)
Answer:
- 1.5
Step-by-step explanation:
Given points
( x1 , y1 ) = ( 4 , - 5 )
( x2 , y2 ) = ( - 2 , 4 )
Now
Slope (m)
= ( y2 - y1 ) / ( x2 - x1 )
= ( 4 + 5 ) / ( - 2 - 4 )
= 9 / - 6
= -1.5
Hope it will help :)❤
A helicopter pilot sees an island at a 70° angle of depression from the horizontal. In the
diagram, m<1 =70°. What is m<2? How do you know?
Answer:
1231 ft
Step-by-step explanation:
Draw a right triangle. Label the height of the triangle. as 800 since the height of the triangle represents the height of the helicopter above the coast of the island. Label the base length of the triangle as d to represent the distance between the coast of the island and the coast of the mainland, P. The angle of depression from the helicopter to point P is 33° so draw a horizontal dotted line at the location of the helicopter and label the angle made by the horizontal line and the hypotenuse of the right triangle as 33°. The angle of elevation from P to the helicopter and the angle of depression from the helicopter to point P are congruent alternate interior angles so label the angle at P as 33°.
The side labeled 800 is opposite of P and the side labeled d is adjacent to P so you can use tangent to write an equation. Solve this equation for d and round to the nearest whole number.
2. If it costs $0.12 Per Cubic inch
for the Juice, What is the Cost for the
original Container ?
(PLEASE HELP! ITS URGENT) Move all expressions whose product is negative to the box.
Answer:
The 2nd and the 4thᕕ( ᐛ )ᕗ
Answer:
the second [2ǹd] & the fourth [4th]
PLEASE HELP
WHAT ARE THE coordinates for the center of the hyperbola??
Answer:
The coordinates of the center of the hyperbola are (1,-3)
Step-by-step explanation:
Equation of a hyperbola:
The equation of a hyperbola with center [tex](x_0,y_0)[/tex] is given by:
[tex]\frac{(x - x_0)^2}{a^2} - \frac{(y - y_0)^2}{b^2} = 1[/tex]
In this question, we have that:
[tex]-x_0 = -1 \rightarrow x_0 = 1[/tex]
[tex]-y_0 = 3 \rightarrow y_0 = -3[/tex]
The coordinates of the center of the hyperbola are (1,-3)
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help me pls
Answer:
i think b
Step-by-step explanation:
Math please help!!!!
Answer:
6.3 years
Step-by-step explanation:
Given
[tex]P = 22400[/tex] --- initial value
[tex]r = 12\%[/tex] -- rate
[tex]A = P(0.88)^t[/tex] --- function
Required
Find t when [tex]A = 10000[/tex]
We have: [tex]A = P(0.88)^t[/tex]
Substitute: [tex]A = 10000[/tex] and [tex]P = 22400[/tex]
[tex]10000 = 22400 * 0.88^t[/tex]
Divide both sides by 22400
[tex]0.4464 = 0.88^t[/tex]
Take log of both sides
[tex]\log(0.4464) = \log(0.88^t)[/tex]
Apply law of logarithm
[tex]\log(0.4464) = t\log(0.88)[/tex]
Solve for t
[tex]t = \frac{\log(0.4464)}{\log(0.88)}[/tex]
[tex]t = \frac{-0.3503}{-0.0555}[/tex]
[tex]t = 6.31[/tex]
[tex]t \approx 6.3[/tex]
What is the center of the circle?
A.(-1,-6)
B.(3,−1)
C.(−1,3)
D.(−6,1)
Answer:
B
Step-by-step explanation:
The x component must be positive (3)
What is the magnitude of -10 + 24i?
this is for a unit over complex numbers on a p e x
Answer:
The magnitude of the number is of 26.
Step-by-step explanation:
Magnitude of a complex number:
A complex number has the following format: a + bi
In which a is the real coefficient and b is the imaginary coefficient.
The magnitude of the number is:
[tex]\sqrt{a^2+b^2}[/tex]
What is the magnitude of -10 + 24i?
For this number, a = -10, b = 24. So
[tex]\sqrt{a^2+b^2} = \sqrt{(-10)^2+24^2} = \sqrt{676} = 26[/tex]
The magnitude of the number is of 26.
PLEASEI BEG U ALL PLEASE 26 POINTSPLEASE JUST HELP ME ON THIS I DONT HAVEMUCH TIMELEFT
Answer:
a) 14
b) 7/45
Step-by-step explanation:
a) 12 are male and studied chemistry
b) There are 14 male Biologists and 90 in total which is 14/90 which = 7/45
(I'm not 100% sure but if I'm wrong I'm very sorry)
I read the question wrong 3 times I'm blind
V22 + V2
+
why can you NOT add these?
Answer:
The Bell Boeing V-22 Osprey is an American multi-mission, tiltrotor military aircraft ... However, the V-22 is generally not capable of hovering on one engine.
The radius of a circle is 4 feet. What is the area of a sector bounded by a 45 degree arc
Answer:
2π ft²
Step-by-step explanation:
Circle Area:
A = πr²
A = π × (4 ft)²
A = 16π ft²
Sector Area:
A = (45°)/(360°) × 16π ft²
A = 2π ft²
solve the equation 10x-6+18x-6(2x-4)=2
Answer:
x=-1
Step-by-step explanation:
multiplique el paréntesis por -6
10x-6+18x-12x+24=2
agripe los términos semejantes
16x-6+24=2 ...... 16x+18=2
mueva la constante al lado derecho y cambie su signo
16x=2-18
calcula la diferencia
16x=-16
divida ambos lados de la ecuación entre 16
x=-1
Find the exact value of x .
x = ?
Do the side lenghts form a Pythagorean triple?
Answer:
x = 14
Yes, the form a Pythagorean triple.
Step-by-step explanation:
50^2 - 48^2 = x^2
196 = x^2
x=14
Inscribed Angles & Arcs and Sectors
(Giving brainliest to correct answer)
Answer:
0.4 pi
Step-by-step explanation:
find the circumference by doing 2 pi r
then you multiply that by a slice of the circle which is 72 degrees divided by 360.
Use 3.14 for PI( π )
Diameter: 5 ft
Formula: A= πr2
Answer:
[tex]\boxed {\boxed {\sf 19.625 \ ft^2}}[/tex]
Step-by-step explanation:
The area of a circle is found using this formula:
[tex]a= \pi r^2[/tex]
We know the circle's diameter is 5 feet, but we don't know the radius. Remember the diameter passes through the center from one side to the other, while the radius connects the center and the side. Therefore, the radius is half the diameter.
r=d/2r= 5 ft/2r= 2.5 ftWe know the radius is 2.5 feet and we are using 3.14 for pi. Substitute the values into the formula.
[tex]a= (3.14)* (2.5 \ ft)^2[/tex]
Solve the exponent.
(2.5 ft)²= 2.5 ft *2.5 ft=6.25 ft²[tex]a= (3.14)*(6.25 \ ft^2)[/tex]
Multiply.
[tex]a=19.625 \ ft^2[/tex]
The area of the circle is 19.625 square feet.
A rectangular region is removed from another rectangular region to create the shaded regions shown below. Find the combined area of the
shaded regions
Syd
yd
16 yd
Answer:
50 yards
Step-by-step explanation:
Answer: 96yd²
Step-by-step explanation:
Multiply:
Larger Rectangle: 16 * 8 = 128ft²
Smaller Rectangle: 8 * 4 = 32ft²
Subtract both your solutions:
128 - 32 = 96ft²
Final Answer:
96ft²
Hope this helped! :)
which graph represents the equation y=-x squared -2
Answer:
Graph II
Step-by-step explanation:
graph Ii is the answer
15 POINTS!
7. Which of the following systems of inequalities describes the shaded region in the graph below?
Answer:
Step-by-step explanation:
the 2nd choice looks good Emily
y > x
y > x+2
y>x and y>x+2 is the systems of inequalities describes the shaded region in the graph below.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
A relationship between two expressions or values that are not equal to each other is called 'inequality.
Unless you are graphing a vertical line the sign of the inequality will let you know which half-plane to shade.
If the symbol ≥ or > is used, shade above the line.
If the symbol ≤ or < is used shade below the line.
y>x and y>x+2 is the inequality describes the shaded region in the graph below as it is greater.
Hence, y>x and y>x+2 is the systems of inequalities describes the shaded region in the graph below.
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find inverse of f(x)= 5x+ln(x-2)
Answer:
y = 5 x + ln ( x − 2 )
According to the table below, what is the probability that a student chosen at random will be 16 or older?
Age. 13 14. 15. 16. 17. 18
Probability 0.01 0.25 0.30 0.28 0.15 0.01
A. 0.46 B. 0.83 C. 0.41 D. 0.44
Answer:
probability: 0.44
The probability that a student chosen at random will be 16 or older is 0.44 or 44%.
What is probability?Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.
The probability that a student chosen at random will be 16 or older is the sum of the probabilities of selecting a 16-year-old or older student.
P(16 or older) = P(16) + P(17) + P(18)
P(16 or older) = 0.28 + 0.15 + 0.01
P(16 or older) = 0.44
Therefore, the probability that a student chosen at random will be 16 or older is 0.44 or 44%.
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Howard needs to buy pens and pencils for work. Pens cost $0.40 each and pencils cost 50.25 each. He needs to buy at least 340
pens and pencils combined, while spending no more than $100. If x represents the number of pens and y represents the number
pencils, which TWO statements are correct?
A)
x = 40 and y - 320 is a viable solution
B)
X = 100 and y = 260 is a viable solution
C)
x + y = 340 and 0.40x +0.25y 2 100 models the situation
D
-* + y 2 340 and 0.40x + 0.25y = 100 models the situation
E
x + y2 340 and 0.40% +0.25y 2 100 models the situation
Answer: what is the answer
Step-by-step explanation:
Which one is correct?
What is the product of (6x^2 + 8)(3x^2 – 5x + 7)?
Answer:
x = 14 /3
Step-by-step explanation:
Answer: 18x^4 - 30x^3 + 66x^2 - 40x + 56