if x = 1/4 and Y = 3/7 evaluate the following expression 7x-4y
If x = 1/4 and Y = 3/7
Evaluate the following expression: 7x - 4y
[tex] \\ [/tex]
[tex] \rm{7 ( \frac{1}{4}) - 4( \frac{3}{7} ) } \\ [/tex]
Substitute the given value of x and y[tex] \rm { \orange{7 \times \frac{1}{4} }} - 4 \times \frac{3}{7} \\ [/tex]
Calculate the product of the rational numbers[tex] \rm{ \frac{7}{4} - \orange{ 4 \times \frac{3}{7 }} } \\ [/tex]
Calculate the product of the rational numbers[tex] \rm \orange{ \frac{7}{4} - \frac{12}{7} } \\ [/tex]
Find the difference between the two fractions[tex] = \small{\boxed{{\sf{ \frac{1}{28} }}}}[/tex]
Therefore, the answer is 1/28.
Answer:
Step-by-step explanation:
[tex]\text{Substitute the values of x and y in the expression}[/tex]
[tex]7x - 4y = 7*\dfrac{1}{4}-4*\dfrac{3}{7}[/tex]
[tex]\sf =\dfrac{7}{4}-\dfrac{12}{7}\\\\ [LCM \ of 4 \ and \ 7 = 28]\\\\ =\dfrac{7*7}{4*7}-\dfrac{12*4}{7*4}\\\\=\dfrac{49}{28}-\dfrac{48}{28}\\\\=\dfrac{1}{28}[/tex]
Solve the system of equations y = 2x^2 + x – 6 and y = 4
Step-by-step explanation:
Substitute y = 4 into the first equation:
[tex]4=2x^2+x-6[/tex]
Subtract 4 from both sides:
[tex]2x^2+x-10=0[/tex]
We can factor in order to find values of x.
Factor the equation:
[tex]2x^2+x-10=0[/tex]
Factors of 10 we'll use:
5 and 2.
[tex](2x+5)(x-2)=0[/tex]
Set the parentheses equal to 0 then find the values of x:
[tex](2x+5)=0[/tex]
[tex]x=-2\frac{1}{2}[/tex]
[tex](x-2)=0[/tex]
[tex]x=2[/tex]
[tex]x=2, \: or \: -2\frac{1}{2} .[/tex]
Check:
[tex]4=2(2)^2+2-6[/tex]
[tex]4=2(4)+2-6[/tex]
[tex]4=4 \: \checkmark[/tex]
[tex]4=2(-2\frac{1}{2} )^2-2\frac{1}{2} -6[/tex]
[tex]4=2(6\frac{1}{4})-2\frac{1}{2} -6[/tex]
[tex]4=12\frac{1}{2} -2\frac{1}{2} -6[/tex]
[tex]4=10-6[/tex]
[tex]4=4 \: \checkmark[/tex]
The probability of getting a soda at the movie theater is 70%. What is the probability that the next three guests in the movie theater will get a soda
The probability that the next three guests in the movie theater will get a soda, when the probability of getting a soda at the movie theater is 70% is 0.343 or 34.3%.
What is probability?Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.
The probability of getting a soda at the movie theater is 70%.
[tex]P=70\%\\P=\dfrac{70}{100}\\P=0.7[/tex]
By the chain rule, the probability of getting the soda to the next 3 guest is equal to the cube of the probability of getting a soda at the movie theater.
Thus, the probability that the next three guests in the movie theater will get a soda is,
[tex]P^3=0.7^3\\P^3=0.343[/tex]
Thus,the probability that the next three guests in the movie theater will get a soda, when the probability of getting a soda at the movie theater is 70% is 0.343 or 34.3%.
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In which quadrant does θ lie given that sinθ < 0 and cosθ < 0? Thank You!
Quadrant I
Quadrant II
Quadrant III
Quadrant IV
Answer:
Quadrant III
Step-by-step explanation:
sin and cos are both less than zero thus negative
the x and y axis are both negative in QIII
sorry if the explaination is wrong but I know the answer is right bc I took the test
Hello! Mikosan here to help doll!
The Answer is: Quadrant 3
I hope this helps doll!
Have a great day love~
1 . what’s -3 p + 6 p = ?
Hurry please!!!
Answer: 3p
Step-by-step explanation: The reason is because -3 + 6 = 3, therefore -3p + 6p = 3p. I hope this helped! If I did anything wrong then please let me know! :)
[tex] - 3p + 6p[/tex]
solution:first you'll have to combine light terms, both are light terms so,
[tex] - 3p + 6p[/tex]
[tex] =3p[/tex]
In a 30 - 60 - 90° triangle x= 7.5 feet
What is the length of the hypotenuse?
Answer: 15ft or 7(2)
Step-by-step explanation:
The opposite side or the side standing up is the "x" side the hypotenuse is double the size of the opposite in a 30-60-90.
Activity 2
use the given information of triangle ACB to find the six trigonometric ratios.
Answer:
1. b/c 4. c/b
2. a/c 5. c/a
3. b/a 6. a/b
Step-by-step explanation:
sin theta = opposite/hypotenuse = b/c
cos theta = adjacent/hypotenuse = a/c
tan theta= opposite/adjacent = b/a
For the rest, you just flip it:
csc theta = c/b
sec theta = c/a
cot theta = a/b
I need help with my math.
The area of a rectangle is 56 cm, Tho longth is 2 cm more than x and the width is 5 cm less than
twico x. Solve for x. Round to the nearest whole number,
Answer:
9
Step-by-step explanation:
Since Area = L × W
Thus,
Area = (x + 2)(2x - 5) = 56
x^2 +4x - 5x - 10 = 56
x^2 - x - 10 = 56
x^2 - x - 66
Using the quadratic formula:
a = 1
b = - 1
c = - 66
Solving:
[tex]\frac{x = (-b) +/- sqrt(b^2 - 4ac)}{2a}[/tex]
[tex]\frac{x = 1 + /- sqrt(1^2 - 4(1)(-66)}{2(1)}[/tex]
[tex]\frac{1 +/- sqrt (265)}{2}[/tex]
17.279/2
8.639
Round = 9
~Lenvy~
A blood drive is being held at a local library. The coordinators of the drive wish to provide cylindrical cup of water to each participant. Each cup measures 5 inches tall with a radius
of 2 inches. How much water will each cup fold if filled to only 4 inches? Round to the nearest hundredth.
Answer:
50.24
Step-by-step explanation:
the formula to find a circle is radius times radius times pi, which equals 3.14. The radius is 2 so radius times radius would be 4. Now u times it by pi so 4 times 3.14 equals 12.56. Do this times ur hight wich is times 4 and u come up with 50 .24
f
solve for y 3x+6y=30
Answer:
the answer= y=5−x/2
Answer: [tex]y=-\frac{1}{2} x+5[/tex]
Step-by-step explanation:
We need to isolate y by itself
Step 1) Subtract 3x from both sides
[tex]3x+6y=30\\3x-3x+6y=30-3x\\6y=30-3x[/tex]
Step 2) Divide both sides by 6 to isolate y
[tex]6y=30-3x\\\frac{6y}{6} =\frac{30}{6}-\frac{3x}{6} \\y=5-\frac{1}{2}x[/tex]
Factorise 3(3x-y)-(y-3x)
Answer:
4(3x-y)
Step-by-step explanation:
Given:
[tex]\displaystyle \large{3(3x-y)-(y-3x)}[/tex]
To factor this kind of expression, first, find the common factor.
[tex]\displaystyle \large{3(3x-y)-(-3x+y)}\\\displaystyle \large{3(3x-y)+(3x-y)}[/tex]
Notice that in the expression, we have both same (3x-y). Therefore, (3x-y) is our factor.
Let u = 3x-y
[tex]\displaystyle \large{3u+u}\\\displaystyle \large{4u}[/tex]
Change u back to 3x-y:
[tex]\displaystyle \large{4(3x-y)}[/tex]
Therefore, the factored expression is 4(3x-y).
please help me with this
Answer:
94 Wins
Step-by-step explanation:
Here we need to find the mean, to do this we add up all the values then divide the sum by how many values we started out with.
97 + 103 + 92 + 95 + 84 = 471
471 / 5 = 94.2
since we got a decimal we can round to find an exact number; since the decimal is under .5 we will round down, 94
So 94 wins would be the correct answer. Hope this helped!
if your catering people and its $80 for 6-8 people how much would it be to cater 128 people
Answer:
Your answer(s) is $1,706.67, $1,462.86, or $1,280
Step-by-step explanation:
This really varies based on whether you take $80 as equal to 6 people, 7 people, or 8 people.
I'll list all three explanations and you can choose one.
6 people: 1,706.67 (rounded to nearest cent)
128 ÷ 6 = 21.33333333
21.33333333 × 80 = 1,706.67
7 people: 1,462.86 (rounded to nearest cent)
128 ÷ 7 = 18.28571428571429
18.28571428571429 × 80 = 1,462.86
8 people:
128 ÷ 8 = 16
16 × 80 = 1,280
please help ! ASAP step by step explanation please
Answer:
0
Step-by-step explanation:
→ First find inverse cosine 1/2
60°
→ Now multiply this answer by 3 because then if you substitute it in you get 0.5
∝ = 180°
→ Now find sine of 180°
0
Last year at a certain high school, there were 84 boys on the honor roll and 50 girls
on the honor roll. This year, the number of boys on the honor roll decreased by 25%
and the number of girls on the honor roll decreased by 16%. By what percentage did
the total number of students on the honor roll decrease? Round your answer to the
nearest tenth (if necessary).
Answer:
Step-by-step explanation:
Boys Girls
84 50
%decrease %decrease
-25% -16%
84=100% 50=100%
75% 84%
75/100×84 84/100×50
=63 =42
84+50=134
63+42=105
134-105=29
134=100%
29
29/134×100
21.6%
Giving brainliest to best answer! I need both of these done by 10:50! Pls help!
Hope it helps.
Do comment if you have any query.
Jerry is inviting 8 people to her party. She would like for each guest to have 1/2 of a giant cookie. How many cookies will she need to buy?
Ashton was born on the second Saturday in August many years ago. In that August, there were five Mondays and four Tuesdays. On what date was Ashton born?
Considering the situation described, it is found that Ashton was born on August 8.
What does the fact that there were five Mondays and four Tuesdays mean?It means that August 31 was on Monday, hence the same is valid for August 24, August 17, August 10 and August 3.
Hence, the first Saturday was August 1, and the second August 8.
A similar problem, involving the interpretation of a situation, is given at https://brainly.com/question/25537936
What is the distance from Point A to point D on the number line? Please help!
Answer:
5
Step-by-step explanation:
Hope this helps! Have a great day!
How many inches of snow fell each hour? (8th Math)
Answer:
2 inches
Step-by-step explanation:
If 10 inches of snow fell each hour, then you divide that by five hours to get your average, which then equals 2. So your answer is 2 inches per hour.
I hope this answered your question and helped you :)
Answer:
Looking at the graph it looks like 5 inches in 2 1/2 hours
Hope this helps :)
Instructions: Find the measure of the indicated angle.
Answer:
42 degrees
Step-by-step explanation:
The measure of the indicated angle is 42 degree.
What is Isosceles Triangle ?An isosceles triangle has two equal sides regardless of the direction the apex (or peak) of the triangle points. Some useful information regarding isosceles triangles is as follows:
It has two parallel sides.It has two equal angles, which are known as the basis angles.A right isosceles triangle is one in which the third angle is 90 degrees.We have a Triangle.
Then, using Isosceles Triangle Theorem
Angles opposite an isosceles triangle's equal sides are also equal.
According to the isosceles triangle theorem, if two sides of a triangle are congruent, then the angles opposite the congruent sides are likewise congruent.
So, x= 42 degree.
Learn more about Isosceles Triangle Theorem here:
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HELP PLEASE WORTH A LOT OF POINTSSSSSSSSS!! SHOW YOUR WORK PLEASEEEEE!!!!!!!!!!
Answer:
Step-by-step explanation:
Tan 70 = 16/x
x = 16/tan70
x = 5.824 to the nearest thousandth
tan 41 = 16 / (x + y)
tan 41 = 16 /(5.8235 + y)
tan41(5.8235 + y) = 16
5.8235 + y = 16/ tan41
y = (16/ tan41) - 5.8235
y = 12.582 to the nearest thousandth
romina has a maximum of 90 minutes to make traditional mexican paper flowers she spends 15 minutes watching videos on how to make flowers then it takes her 3 minutes to do each flower romina writes the inequality 15 + 3f <90 to repesent the number of flowers F she has to make
Answer:
f<25, she can make less than 25 flowers to have enough time, (I think the inequalitie sign should have a line underneath it tho meaning, less than or equal to 25 flowers, which would only make sense)
Step-by-step explanation:
First you need I subtracted 15 from 90 which got me 75.
15 + 3f<90
-15 -15
_________
0 75
3f<75
__
3f
75 divided by 3f= 25
A can of diced tomatoes has a height of 11.5 cm and a diameter of 10 cm.
What is the volume of the can? Use 3.14 for i.
DO NOT round your answer.
A cubic cm
Answer:
10 cm
Step-by-step explanation:
the can is shaped like a cylinder
first step is to find the radius and then multiply the figure by 2
volume of a cylinder = nr^2h
n = 22/7
r = radius
903 = 11.5 x r^2 x 3.14
r^2 = 903 / (3.14 x 11.5)
r = 5 cm
diameter = 10cm
hey, can you answer this for me?
9-3x=54?
[tex] \Large{\boxed{\sf x = -15}} [/tex]
[tex] \\ [/tex]
Explanation:Given equation:
[tex] \sf 9 - 3x = 54 [/tex]
[tex] \\ [/tex]
Subtract 9 from both sides:
[tex] \sf 9 - 3x - 9 = 54 - 9 \\ \\ \sf -3x = 45 [/tex]
[tex] \\ [/tex]
Divide each side by -3 :
[tex] \sf \dfrac{-3x}{-3} = \dfrac{45}{-3} \\ \\ \\ \boxed{\boxed{\sf x = -15}} [/tex]
[tex] \\ \\ [/tex]
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Answer: C: -4, -6 B:-14, -6 A:-14, -18
Step-by-step explanation: Multiply all of your points by 2
9n^2-10=890 solve by taking square roots
Answer:
n=3.3
Step-by-step explanation:
9n²-10=890 1. + 10 on both sides
9n² = 900
[tex]9n²[/tex]= 9n
[tex]900[/tex] = 30
9n=30 2. /9 on both sides
n=3.33
the 3's repeat
help me please need help missing lengths
Step-by-step explanation:
please mark me brilliant
Step-by-step explanation:
5. θ = 60°
→ To find the value of y ,
Cos θ = b/h
putting the values in terms of cos
Cos 60° = y/16
1/2 = y/16
16/2 = y
y = 8 unit
→ To find the value of x ,
Sinθ = P/h
putting the values in terms of sin
Sin60° = x/16
√3/2 = x/16
16×√3/2 = x
16×1.73/2 13.84 unit
6. θ = 30°
→ To find the value of y
tanθ = p/b
putting the values in terms of tan
tan 30° = 2/y
1/√3 = 2/y
2×√3 = y
3.46 unit = y
→ To find the value of x
Sin θ = p/h
putting the values in terms of sin
Sin 30° = 2/x
1/2 = 2/x
4 unit = x
What is the area of this composite figure?
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A figure is comprised of 2 rectangles. The first rectangle has a length of 10.5 centimeters and width of 15.5 centimeters. The second rectangle has a length of 18 centimeters and width of 11.5 centimeters.
135 centimeters squared
207 centimeters squared
249 centimeters squared
279 centimeters squared
Answer:
249 centimeters squared
Step-by-step Explanation:
The area of the rectangle: l x w, where l is the length and w is the width.
= 15.5 x 18
= 279
Area of the smaller rectangle: l x w, where l is the length and w is the width.
= 4 x 7.5
= 30
We do not need this 30.
Area of the shaded region:
= 279 - 30
= 249 cm²