I assume a, b, and c are the measures of the angles A, B, and C themselves. (If you meant lengths of the sides opposite these angles, this would be impossible.)
The interior angles to any triangle sum to 180° in measure, so
A + B + C = 180°
Now,
• A is twice the size of B, so A = 2B or B = A/2
• C measures 20° less than A, so C = A - 20°
Substitute these into the first equation and solve for A :
A + A/2 + (A - 20°) = 180°
5/2 A - 20° = 180°
5/2 A = 200°
A = 80°
Solve for B and C :
B = 80°/2
B = 40°
C = 80° - 20°
C = 60°
Mrs. Griffin wants to plant soybeans and corn on 100 acres of land. Soybeans require 6 hours of labor per acre, and corn requires 8 hours of labor per acre. If Mrs. Griffin has 660 hours available, how many acres of each crop should she plant?
Please include how to solve the problem.
9514 1404 393
Answer:
soybeans: 70 acrescorn: 30 acresStep-by-step explanation:
Let x represent acres of soybeans. Then 100-x is the number of acres of corn. All of Mrs. Griffin's labor hours will be used when ...
6x +8(100-x) = 660
-2x +800 = 660 . . . . . simplify
x -400 = -330 . . . . . . . divide by -2
x = 70 . . . . . . . . . . . . . add 400
Mrs. Griffin should plant 70 acres of soybeans and 30 acres of corn.
_____
Additional comment
The problem is not well-specified, as there is no indication of the reason why Mrs Griffin should plant any number of acres of either crop. So, we assume the intent is to use all of the acres and labor hours available.
This makes the problem equivalent to a system of two equations in two variables. We effectively substituted (100-x) for the acres of corn, which might otherwise be its own variable.
Often, you're interested in maximizing or minimizing some objective function given these constraints. If we wanted to minimize labor, for example, we would plant all soybeans, since there is less labor involved. That would only require 600 hours of labor, instead of 660.
please help me! will mark brainliest
k = -2
√-72k = √(-72 · (-2)) = √144 = √12² = 12
What is the answer judicial mjf
help due today please
Answer:
angle ABD =55 degree
angle BCD= 125 degree
Step-by-step explanation:
angle ABD and angle DBC are supplementary angles.
Hence, angle ABD +angle DBC = 180 --equation 1
angle ABD = (2x+15) ---equation 2
angle BCD = (4x+45) ------equation 3
ABD+DBC=180
(2x+15) + ( 4x+45 ) = 180
2x+4x+15+45=180
6x+60=180
6x=180-60
6x=120
x=120/6=20
angle ABD= 2x+15= 2(20) +15
=40+15= 55 degree
angle BCD= 4x+45 = 4(20) +45
= 80+45= 125 degree
Hence, angle ABD =55 degree
angle BCD= 125 degree
Hope this helps.
what is 4x + 5 = 6x - 7
Answer: x = 6
Step-by-step explanation:
Answer:
x = 6
Step-by-step explanation:
4x + 5 = 6x - 7
-5 -5
4x = 6x - 12
-6x -6x
-2x = -12
/-2 /-2
x = 6
x • 1 + x/1=? ,,,,,,,,,,,,,,,,,,,,,
[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]
[tex] \large \sf \: x \cdot 1 + \frac { x } { 1 } = ? \\ [/tex]
[tex] \huge \boxed{\mathfrak{Answer} \downarrow}[/tex]
[tex] \large \sf \: x \cdot 1 + \frac { x } { 1 } \\ [/tex]
Anything divided by one results in itself.
[tex] \large \sf \: x\times 1+x [/tex]
Combine x × 1 and x to get 2x.
[tex] = \large \boxed{ \bf \: 2x}[/tex]
The correct answer is 2x.Find the value of x that makes the equation true.
12/x = 8/6
help!!
Answer:
9 =x
Step-by-step explanation:
12/x = 8/6
Using cross products
12 *6 = 8*x
72 = 8x
Divide each side by 8
72/8 = 8x/8
9 =x
Answer:
12/x = 8/6
cross multiply
8x = 12 × 6
x = 9
Please help as soon as possible.. I don’t understand this.
Answer:
45ft squared
Step-by-step explanation:
you multiply 3 by the radius which is 15
that gives you a total of 45
How would you solve this for c?
Answer:
c = ab - df
Step-by-step explanation:
ab - c = df
》ab = c + df
c + df = ab
c = ab - df
Answer: c = -fd + ab
This is the same as saying c = ab - fd
==================================================
Work Shown:
[tex]\frac{ab-c}{d} = f\\\\\\ab-c = fd\\\\\\-c = fd-ab\\\\\\c = -fd+ab\\\\\\[/tex]
Explanation for each step:
This is the original equation.I multiplied both sides by d to undo the division.I subtracted ab from both sides.I multiplied both sides by -1, or I multiplied every term by -1, to fully isolate c.I need help with the perimeter
the measurements of a rectangular tablecloth are 94 cm and 64 cm.
how many cm does the perimeter of the tablecloth measure?
how many cm of fabric were used to make it?
Step-by-step explanation:
1) Perimeter = 2(l + w)
Perimeter = 2(94 + 64)
Perimeter= 2(158) = 361 cm
2) Fabric required = Area
Area = l × b
Area = 94 × 64
Area = 6016 cm²
The measurements of a rectangular tablecloth are 94 cm and 64 cm.
Solution and Answer:How many cm does the perimeter of the tablecloth measure?
Perimeter = 2(Length × Width)P = 2(l + w)P = 2(94 + 64)P = 2(158)P = 316 cmTherefore, the perimeter of the tablecloth is 316 cm.
How many cm of fabric were used to make it?
Area = length × widthA = l × wA = 94cm × 64 cmA = 6,016 cm²Therefore, the fabric is 6,016 cm².
The cost of weddings in the United States has skyrocketed in recent years. As a result, many couples are opting to have their weddings in the Caribbean. A Caribbean vacation resort recently advertised in Bride Magazine that the cost of a Caribbean wedding was less than $10,000. Listed below is a total cost in $000 for a sample of 8 Caribbean weddings. At the .005 significance level, is it reasonable to conclude the mean wedding cost is less than $10,000 as advertised?
10.1
12.6
9.5
9.5
11.4
9.5
8.6
9.4
(a)
State the null hypothesis and the alternate hypothesis. Use a .005 level of significance. (Enter your answers in thousands of dollars.)
H0: ? ?
H1: ? <
(b)
State the decision rule for .005 significance level. (Negative amount should be indicated by a minus sign.Round your answer to 3 decimal places.)
Reject H0 if t <
(c)
Compute the value of the test statistic. (Negative amount should be indicated by a minus sign.Round your answer to 3 decimal places.)
Value of the test statistic
(d)
At the .005 significance level is it reasonable to conclude the mean wedding cost is less than $10,000 as advertised?
(Click to select)RejectDo not reject H0. The cost is (Click to select)lessnot less than $10,000.
Answer:
Step-by-step explanation:
0
16-27+(+12)-(+7)+(-3)+9-(-11)
Answer:
11 is the answer after solving all this
Step-by-step explanation:
You can apply BODMAS to solve it easy
Answer:
yes 11 is the correct answer
I really need help with this someone
Answer:
The last one
Step-by-step explanation:
brainliest pls? :D
Answer:
A
Step-by-step explanation:
Product is MUltiplication and Quotient is division.
The coordinates of point T are (0,3). The midpoint of ST is (3,-2). Find the coordinates of point S.
Answer:
(6,-6) use midpoint formula
HELPPPP
first correct answer will get brainliest
A restaurant earns $1445 on Friday and $1624 on Saturday. Write and solve an equation to find the amount x (in dollars) the restaurant needs to earn on Sunday to average $1500 per day over the three-day period. Write your equation so that the units on each side of the equation are dollars per day.
Total earned Friday = $1445
Total earned Saturday = $1624
Earnings Sunday - $xxx
Average over 3 day period = $1500
Therefor total over 3 day = $1500 x 3 = $4500
So earnigs friday + Saturday = $1445 + $1624 = $3069
$4500 - $3069 = $1431
$1431 earn on Sunday
P, Q, V, and K are collinear with V between K and P, and Q between V and K. If VP = 14x + 4, PK = x + 630, VQ = 17x + 6, and KQ = 11x + 5, solve for VP.
P, Q, V, and K are collinear, the distance VP=214
Given :
P, Q, V, and K are collinear with V between K and P, and Q between V and K
Make a diagram using the above given information
[tex]VP = 14x + 4, \\PK = x + 630, \\VQ = 17x + 6, \\and KQ = 11x + 5[/tex]
The diagram is attached below
From the diagram we can see that ,
[tex]PK=VP+VQ+KQ\\Replace \; the \; expressions\\x+630=14x+4+17x+6+11x+5[/tex]
Solve the equation for x
[tex]x+630=14x+4+17x+6+11x+5\\x+630=14x+17x+11x+4+6+5\\combine \; like \; terms\\x+630=42x+15\\x=42x+15-630\\x=42x-615\\x-42x=-615\\-41x=-615\\divide\; by \; -41\\x=15[/tex]
so , the value of x is 15
We know that VP=14x+4
Replace 15 for x to solve for VP
[tex]VP=14x+4\\VP=14(15)+4\\VP=214[/tex]
Learn more : brainly.com/question/17542197
Factoring trinomials: m^2 +13m-36
Answer:
[tex]m^2 +13m-36[/tex] does not factor.
Explanation:
[tex]m^2 +13m-36[/tex] is not factorable with rational numbers.
Yuri measured the snowfall over a four-day
period and calculated a total of 15 inches of
snowfall
. If it snowed 4 inches on the first day
and 21 inches on the second day, how much
now fell on the third and fourth days?
55 pt. to the person who answers this!!
Draw a number line that represents the solutions to the inequality x > 5 with a straight edge. *the numbers are 6, 5.2, and 5.01
erviewing you. The first step is to consider what you want. Are you trying to get into a graduate or undergraduate program? Are you trying to land a great internship? What does the person interviewing you want to see?
Then, think about your personal history and your strengths. How do those fit with the goals you just considered? Closely connecting your answer to those goals gives you a strong advantage, as you can see in these examples.
Graduate School Applicant Example
I've always loved the Victorian period in English literature. Even as a kid, Dickens captured my imagination more thoroughly than the Harry Potter stories or anything else. As an undergraduate at Northwestern University, I studied English with a concentration on Victorian fiction. Now, I hope to continue exploring this fundamentally important literary period as a graduate student.
Internship Interview Example
I'm a senior at Michigan Technological University, majoring in biomedical engineering. Ever since I was a kid, I've wanted to work in the field of prosthetics. I saw first-hand how a prosthetic limb helped give my best friend a normal teenage life, and I've always wanted to be a part of that process. I'm drawn to prosthetic design and research, which is why I'm so excited to learn more about the internship your company is offering.
Solve the equation 32^× . 25^× = 15^× + ^2 without using calculator.
Step-by-step explanation:
[tex] \frac{( {32}^{x} \times {25}^{x})} { {15}^{x} } = {15}^{2} [/tex]
When you multiply two variables or numbers or with different bases but with the same exponent, you can simply multiply the bases and use the same exponent. For example:
x^a*y^a= (xy)^a
[tex] { (\frac{32 \times 25}{15} })^{x} = {15}^{2} [/tex]
[tex] { (\frac{32 \times 5}{3} })^{x} = {15}^{2} [/tex]
[tex] { (\frac{160}{3} })^{x} = 225[/tex]
x= log (225) ÷ log ( 160/3)
Evaluate when x = 2, 3(x2squared - 2)3squared
Answer:
too big for me
Step-by-step explanation:
Answer true or false. Provide an examp
17. The set of negative numbers are closed under division.
Answer:
false
Step-by-step explanation:
The formula for the volume V of a cylinder is V=πr2h, where r is the radius of the base and h is the height of the cylinder. Select the formula for h. Then select the height of a cylinder with a volume of 36π cm3 and a base with a radius of 3 cm.
Answer:
Below in bold.
Step-by-step explanation:
V = πr^2h
Divide each side by πr^2:
V / πr^2 = h.
Height of the given cylinder
= 36π / π3^2
= 36/9
= 4.
Height = 4 cm.
The required height of the given cylinder is given as 4cm.
Given that,
The formula for the volume V of a cylinder is V=πr2h, where r is the radius of the base and h is the height of the cylinder, with a volume of 36π cm3 and a base with a radius of 3 cm height of the cylinder is to be determined.
Volume is defined as the ratio of the mass of an object to its density.
Here,
The volume of the cylinder,
V = πr²h
h = V/πr²
Substitute the value in the above equation,
h = 36π/π3²
h = 36/9
h = 4 cm
Thus, the required height of the given cylinder is given as 4cm.
Learn more about Volume here:
https://brainly.com/question/1578538
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Ben had 4704 books. He puts 3 on each shelf. How many shelves did he have?
Answer:
Step-by-step explanation:
4704:3=1568
6+ ? +12-2= 30
a) 10
b) 11
c) 14
d) 12
Answer:
c
Step-by-step explanation:
12 - 2 = 10
10 + 6 = 16
30 = 16 + x
x = 30 - 16
x = 14
Answer:
c) 14
Step-by-step explanation:
Solution:
Let the other number be x
Now,
6+x+12-2=30
6+x+10=30
x+16=30
x=30-16
x=14
What is the fractional equivalent of the repeating decimal 0 2 ?
O A i
O B.
O c.
OD.
Determine how fast you are driving if it takes you 50 seconds to drive from one mile marker to the next.
Can someone solve and explain this for me?
Answer:
22.5
Step-by-step explanation:
A dilation is a non rigid transformation which shrink or stretch a figure.
If the scale factor, b>1, the figure will grow
If the scale factor is less than 1, the figure will shrink
The scale factor is 1.5 so the figure will grow.
A dilation about a scale factor makes both figures porportional assuming we know all corresponding angles are congruent. So this means we just multiply PQ by 1.5 to get P'Q'
[tex]15 \times 1.5 = 22.5[/tex]
|x+4|= -6
Multiple choice
Answer:
A. No solution.
Step-by-step explanation:
Absolute values can never be negative. So there is no value of "x" that can make the absolute value negative.
6 tenths times 8(please help)
Answer:
24/5 or 4.8
Step-by-step explanation:
This would be 6/10 multiplied by 8 making it 48/10 and if you simplify that you will get 24/5.
Answer:
4.8
Step-by-step explanation:
6 tenths can be written like this: 0.6
If you were to pretend the 0.6 was a six..
6*8=48
There actually is a decimal point and you must move it back to the left one place because there was one before the six
4.8
Boom.
