Answer:
P = 7/3 and q = 0
Step-by-step explanation:
The given parameters are;
The endpoints of the segment are, (3, -4) and (1, 2)
The points that trisect the given points are P and Q with coordinates (p, -2) and (5/3, q) respectively
Therefore, we have;
The first point of the trisection cuts 1/3 of the length from one point and the second point of the trisection cuts 2/3 of the length from the same point
The coordinates of P or Q = (3 - (3 - 1)/3, -4 - (-4 - 2)/3) = (7/3 , -2)
Therefore, given that the y-coordinate value of the derived point coincides with the y-coordinate value of the point P, (p, -2) and there is only one point with x = -2 on the line, we have that the coordinate of the point P is (p, -2) = (7/3 , -2)
∴ P = 7/3
Similarly we have the second point of the trisection, Q, given as follows;
We are already given the x-coordinate value of the point Q as the 5/3 in (5/3, q)
Point Q = (5/3, q) = (3 - 2×(3 - 1)/3, -4 - 2×(-4 - 2)/3) = (5/3 , 0)
Point Q = (5/3, q) = (5/3 , 0)
∴ q = 0.
Solve the equation.
8-2x = -8x + 14
x = -1
x=-3:5
x=3/5
X= 1
The cost of 5 pounds of boudin is $26.What is the constant of proportionality that relates the cost in dollars,y, to the number of pounds of boudin,x?
Given :
The cost of 5 pounds of boudin is $26.
To Find :
The constant of proportionality that relates the cost in dollars y, to the number of pounds of boudin x .
Solution :
Price per boudin in terms of x and y is :
[tex]P=\dfrac{y}{x}[/tex]
Price per boudin by given data :
[tex]P=\dfrac{26}{5}[/tex]
So,
[tex]\dfrac{y}{x}=\dfrac{26}{5}\\\\y = \dfrac{26}{5}x[/tex]
Therefore, the constant of proportionality is [tex]\dfrac{26}{5}[/tex].
Hence, this is the required solution.
Swanton Savings Bank pays 5.5% interest compounded quarterly on a regular savings account. John deposited $4400 in regular savings accounts for 1.5 years. How much interest did he earn?
Answer:
$375.71
Step-by-step explanation:
Given that:
Rate of interest = 5.5% compounded quarterly
Time = 1.5 years
Principal amount deposited in savings account = 1.5 years
To find:
Interest earned = ?
Solution:
Formula for amount with interest compounding quarterly:
[tex]A = P(1+\dfrac{r}{4\times 100})^{4t}[/tex]
Putting the values:
[tex]A = 4400(1+\dfrac{5.5}{4\times 100})^{4\times 1.5}\\\Rightarrow 4400\times 1.01375^6\\\Rightarrow 4400\times 1.085\\\Rightarrow \$ \bold{4775.71}[/tex]
Interest earned = Amount - Principal
Interest earned = 4775.70 - 4400 = $375.71
\angle a∠aangle, a and \angle b∠bangle, b are complementary angles. \angle a∠aangle, a measures 64^\circ64
∘
64, degrees.
Answer:
If angle a and b are complementary angles, and angle a is 64, complementary equals 90, so 90-64= 26 degrees for angle b.
Angles ∠a and ∠b are complementary angles. Then the measure of the angle ∠b will be 64°.
What is an angle?The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.
Complementary angle - Two angles are said to be complementary angles if their sum is 90 degrees.
The measure of the angle ∠a is 64°. And angles ∠a and ∠b are the complementary angles. Then the equation is given as,
∠a + ∠b = 90°
64° + ∠b = 90°
∠b = 26°
The measure of the angle ∠b will be 64°.
More about the angled link is given below.
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Find the area of the shape above. Will give brainliest answer.
Answer: 3/5
Step-by-step explanation:
A=a+b/2h
Since the bottom width = 4 and the top length =2 and the length = 5
2+4=6
2(5)=10
so 6/10 = 3/5
Evaluate the function f(x) = 2x + 8 when x= 6 .
A 28
B 96
C None of the other answers are correct
D 16
E 20
Answer:
-1 or f = 1.333333333 + 0.3333333333x
is what i got its not an answer so im sorry
Step-by-step explanation:
Simplifying
f(6) = 2x + 8
Reorder the terms for easier multiplication:
6f = 2x + 8
Reorder the terms:
6f = 8 + 2x
Solving
6f = 8 + 2x
Solving for variable 'f'.
Move all terms containing f to the left, all other terms to the right.
Divide each side by '6'.
f = 1.333333333 + 0.3333333333x
Simplifying
f = 1.333333333 + 0.3333333333x
Answer:
Answer is 28
Step-by-step explanation:
Had the same question and answer was 28 you can thank me later :D
The supply curve for steel is 90x−y=−50. The demand curve is 10x+y=200. x is quantity in thousands of metric tons y is price in dollars per metric ton What are the values for quantity and price at the intersection point of the two curves? To find the values, first use addition to combine the left sides and to combine the right sides of the two equations.
Answer:
The intersection point of the two curves is [tex](x,y) = \left(\frac{3}{2}\,kton.m, 185\,USD \right)[/tex].
Step-by-step explanation:
From statement we get the following equations:
Supply curve
[tex]90\cdot x - y = -50[/tex] (1)
Demand curve
[tex]10\cdot x + y = 200[/tex] (2)
Where:
[tex]x[/tex] - Quantity, measured in thousands of metric tons.
[tex]y[/tex] - Price, measured in US dollars per metric tons.
If we add both equations, then we find that quantity is:
[tex](90\cdot x -y )+(10\cdot x +y) = -50+200[/tex]
[tex]100\cdot x = 150[/tex]
[tex]x = \frac{3}{2}\,kton.m[/tex]
Then, we finally find the price by substituting on (2):
[tex]y = 200-10\cdot \left(\frac{3}{2} \right)[/tex]
[tex]y = 200-15[/tex]
[tex]y = 185\,USD[/tex]
The intersection point of the two curves is [tex](x,y) = \left(\frac{3}{2}\,kton.m, 185\,USD \right)[/tex].
plz help I'll give brainest
Answer:
B
Step-by-step explanation:
absolute value is 2½
hope it helped
Use the information to complete the task.
The ratio of fluid Ounces of milk to fluid Ounces of water in a soup recipe is 3 to 4.
Use the ratio to complete the table. Enter the answer in each box.
Milk (fluid Ounces) Water (fluid ounces)
9
28
27
60
Answer:
Step-by-step explanation:
3:4
9:12
28:37.3
27:36
60:80
What are the ratios of sine, cosine, and tangent for
angle Y?
sin(Y) = XZ; cos(Y) = Y? ; tan(Y) = YZ
XY
XZ
XY
sin(Y) = XY; cos(Y) = XZ; tan(Y) = YZ
XZ
XY
XZ
O sin(Y) = x7; COS(Y) = x7; tan(Y) = {Z
sin(Y) = YZ ; cos(Y) = XZ; tan(Y) = XZ
XY
XY
YZ
Answer:
C!!!!
Step-by-step explanation:
Answer: The answer is C
Step-by-step explanation:
Got it write on edge
please help
asap
someone please help
the measure of angle of a quadrilateral is 50 120 and 100 degree. find the measure of fourth angle
Answer:
The measure of the fourth angle is 90°.
Step-by-step explanation:
Let x be the measure of the fourth angle.
Given measures of the other angles : 50°,120° & 100°.
Knowledge Required :
The sum of all the interior angles of a quadrilateral is 360°.
Then,
50°+120°+100°+x=360°
⇒x = 360°-270°
⇒x = 90°
.°. x = 90°
Hence, the measure of the fourth angle is 90°.
PLEASE HELP ME I HAVE A SICKNESS CALLED IM DUMB AND I REALLY NEED HELP WITH THESE QUETIONS. IF YOU CAN ANSWER THEM ALL ILL GIVE BRAINLIEST AND 50 POINTS AND PLSS DONT DO IT FOR THE POINTS.PLSSS
Step-by-step explanation:
the answer in the image
plz help what is 6 x 18 plz show work thank
Answer:
the answer is 108.
Step-by-step explanation:
6 x 18 = 108
I NEED THIS ANSWER I DONT UNDERSTAND PLEASE HELP
Answer:
A. 904.3 cm³
Step-by-step explanation:
Radius of the ice cream cone (r) = 6 cm
Height of the ice cream cone (h) = 12 cm
Radius of the shape of hemisphere formed by the half scope of ice cream = 6 cm
Total volume of ice cream = volume of cone + volume of hemisphere
= [tex] (\frac{1}{3} \pi r^2 h) + (\frac{2}{3} \pi r^3) [/tex]
Plug in the values
[tex] (\frac{1}{3} \times 3.14 \times 6^2 \times 12) + (\frac{2}{3} \times 3.14 \times 6^3) [/tex]
[tex] (\frac{1}{3} \times 3.14 \times 36 \times 12) + (\frac{2}{3} \times 3.14 \times 216) [/tex]
[tex] = (1 \times 3.14 \times 12 \times 12) + (2 \times 3.14 \times 72) [/tex]
[tex] = (452.16) + (452.16) [/tex]
Total volume of ice cream = 904.3 cm³ (nearest tenth)
Evaluate x/4 for x=48
Hey there!
If x = 48
48/4 = 12 because 12 • 4 equals 48
Answer: 12
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
x=8
Step-by-step explanation:
{x}{4}x=48
{x^2}{4}=48
{4x^2}{4}=48\
Choose Yes or No to tell if the number 103 will make each equation true. 6.01 × □ = 601 No 0.305 × □ = 305 No 0.54 × □ = 540 No 0.097 × □ = 970 Yes
Answer:
Kindly check explanation
Step-by-step explanation:
Given the equations :
6.01 × □ = 601 No 0.305 × □ = 305 No 0.54 × □ = 540 No 0.097 × □ = 970 Yes
Will the number 103 will make each true?
601 / 6.01= 100 (No, not true)
305 / 0.305 = 1000 (No, not true)
540 / 0.54 = 100 (No, not true)
970 / 0.097 = 10000 (No, not true)
Hence, multiplying each of the equation above by 103 will not make any of the equations true.
Identify the angles that each have a measure of 88
Answer: 86 and 4
Step-by-step explanation:
Hopefully this is the right answer!
Answer:
the answer for this question above is 1
Step-by-step explanation:
What is the value of the expression below?
8:2+6.5
Answer:
34
Step-by-step explanation:
8/2 = 4
6 times 5 = 30
4 + 30 = 34
()()PLZZ HELP MY PARENTS SAID I CANT CELEBRATE THANKSGIVING IF THI ISNT DONE PLZZZ HELP IM GIVING 25 DOLLAR AMAZON CARD TO WHOEVER HELP AND DOES ALL OF THESE + 100 POINTS +BRAINLIEST
3. Nicole has $17.50. Her grandmother gave
her $53.12 for her birthday. She then buys
a computer game that costs $37.25. How
much money does she have left?
E
Answer:
33.37
Step-by-step explanation:
Answer:
Nicole has $33.37 left
Step-by-step explanation:
($17.50+$53.12)-$37.25=$70.62-$37.25=$33.37
Which is the "The sum of 4 times a number and 7" as an algebraic expression?
A)4(x+7)
B)(4.7)+x
C)4-7+x
D)4x+7
Use the chart to help u ;-;"
What is the factor to this as a expression?
Answer:
The expression is not factorable with rational numbers
Step-by-step explanation:
Someone plz help. I added a screenshot shot below
Answer:
Juan's Plan
y = .25x+12.95
where y is cost and x is minutes
Tiffany's Plan
y = .15x+14.95
where y is cost and x is minutes
...
Set the cost equal and find where x is the same for both.
.25x+12.95 = .15x+14.95
Group x variables to one side of the equation
.25x + 12.95 - 12.95 - .15x = .15x - .15x + 14.95 - 12.95
.25x - .15x = 14.95 - 12.95
.1x = 2
x=20 minutes
PLEASE HELP!!!!!!!!!!!
What value of x is in the solution set of 8x – 6 > 12 + 2x?
–1
0
3
5
Answer:yea its 3
Step-by-step explanation:
What does W equal? I’m lost
Answer:
it looks like it would be 69% like the one below it
Step-by-step explanation:
a. {[(-15+5)×2+8]-32÷8}-(-7)
b. (5-2)³×2+[-4+(-7)]÷(-2+4)²
c. {-10-[12+(-3)²] + 3³}+3³}÷(-3)
I'll mark you brainliest if you solve these with explanation
Answer:
Step-by-step explanation:
The answers are:
A) {[(-15+5)×2+8]-32÷8}-(-7)
Calculate within parentheses: -16 - (-7)
Add and subtract (left to right): -16 - (-7) = -9
B) (5-2)³×2+[-4+(-7)]÷(-2+4)²
To solve this problem, you need to follow the steps of order of operations.
Calculate within parentheses: [tex]3^{3}[/tex] * 2 + [-4 + (-7)] ÷ (-2+4)²
Calculate within parentheses: [tex]3^{3}[/tex] *2 -11 ÷ (-2+4)²
Calculate within parentheses: 27 × 2 - 11 ÷ (-2+4)²
Calculate exponents: 27 × 2 -11 ÷ 4
Multiply and divide: 54 - 11 ÷ 4
Multiply and divide: 54 - [tex]\frac{11}{4}[/tex]
Add and Subtract: [tex]\frac{205}{4}[/tex]
Convert improper fractions to mixed numbers: [tex]\frac{205}{4}[/tex] = [tex]51\frac{1}{4}[/tex]
C) {-10-[12+(-3)²] + 3³}+3³}÷(-3)
Calculate within parentheses: -4 ÷ (-3)
Multiply and divide: [tex]\frac{-4}{(-3)}[/tex]
Simplify and convert improper fraction to a mixed number:
[tex]\frac{-4}{(-3)}[/tex] = [tex]\frac{4}{3}[/tex] = [tex]1\frac{1}{3}[/tex]
Hope this helped! If so, please mark brainliest.
guys what is this.......
Answer:
Domain are the x's in an ordered pair and it is usually the left side of diagrams. So everything on the left is a domain. So 5,10,15 is correct.
Step-by-step explanation:
Answer:
A.) 5, 10, 15
Step-by-step explanation:
The domain of a function is the set of all possible inputs for the function. For example, the domain of f(x)=x² is all real numbers, and the domain of g(x)=1/x is all real numbers except for x=0.
Solve similar triangles (advanced) khan academy
Answer:
x = 4Step-by-step explanation:
1 = 2
3 2 + x
2 + x = 3 (2)
x = 6 - 2
x = 4
The triangle ΔABC is similar to the triangle ΔADE. Then the value of the variable 'x' will be 4 units.
What is the triangle?The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.
The ratio of the matching sides will remain constant if two triangles are comparable to one another.
The triangle ΔABC is similar to the triangle ΔADE. Then the ratio of the corresponding sides will be constant. Then the equation is given as,
2 / (2 + x) = 1 / 3
Simplify the equation, then we have
2 / (x + 2) = 1 / 3
6 = (x + 2)
x = 6 - 2
x = 4
The value of the variable 'x' will be 4 units.
More about the triangle link is given below.
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There are 40 DuBois students going on a field trip. Each one pays their teacher $8.75 to cover admission to the museum and lunch. Admission for the students is $120 and each one gets an equal amount to spend on lunch. How much will each DuBois student be able to spend on lunch? *
Given :
There are 40 DuBois students going on a field trip.
Each one pays their teacher $8.75 to cover admission to the museum and lunch.
Admission for the students is $120 and each one gets an equal amount to spend on lunch.
To Find :
How much will each DuBois student be able to spend on lunch.
Solution :
Amount they paid for admission :
[tex]P =\$ \dfrac{120}{40}\\\\P=\$3[/tex]
Now, amount of money to spend on lunch is $8.75 - $3 = $5.75 .
Hence, this is the required solution.