Answer:
D. 2x+71=180
Step-by-step explanation:
Six angles are represented, three are marked. The six angles add up to 360 (360 degrees in a circle). We know that the sum of all the marked angles equals 180, because each marked angle has an equal, unmarked, vertically opposite angle, and half of 360 is 180. Therefore we can write:
76+(x-5)+x=180
2x+71=180
A group of hikers is progressing steadily along an uphill trail. The graph shows their elevation (or height above sea level), in feet, at each distance from the start of the trail, in miles.
What is the slope of the graph? Show your reasoning.
What does the slope tell us about this situation?
Write an equation that represents the relationship between the hikers' distance from the start of the trail, x, and their elevation, y.
Does the equation y-250x=500 represent the same relationship between the distance from the start of trail and the elevation? Explain your reasoning.
Answer:-2
Step-by-step explanation:y=500+250x
Jack and his two friends each ordered a small pizza, Jack ate 7/8 of his pizza, Luis ate 3/4 of his pizza, Tyrone ate 1/2 of his pizza. How much pizza was left. Answer to the simplest form.
Answer:
1/8
Step-by-step explanation:
What we wanna do first is make all denominators the same. Multiply 3/4 by 2/2 and 1/2 by 4/4. This will get you 6/8 and 4/8. Now we have all the fractions:
6/8. 4/8, 7/8
We know Jack ate 7/8 of his pizza, so there's 1/8 pizza left for him.
Luis ate 3/4, which became 6/8, so there's 2/8 of pizza left.
Tyrone ate 1/2 of his pizza, which is 4/8, so there is 4/8 left.
Add: 1/8 + 2/8 + 4/8 = 7/8
This means that there is 1/8 slice left because 7/8 of the whole pizza was eaten.
he mayor of a town has proposed a plan for the construction of an adjoining community. A political study took a sample of 16001600 voters in the town and found that 344% of the residents favored construction. Using the data, a political strategist wants to test the claim that the percentage of residents who favor construction is over 311%. Find the value of the test statistic. Round your answer to two decimal places.
Answer:
2.60
Step-by-step explanation:
Given that:
n = 1600
[tex]\hat p = 0.34[/tex]
[tex]P_o = 0.31[/tex]
The test statistics can be computed as:
[tex]Z = \dfrac{\hat p - P_o}{\sqrt{ \dfrac{P_o\times (1-P_o) } {n} }}[/tex]
[tex]Z = \dfrac{0.34-0.31}{\sqrt{ \dfrac{0.31 \times (1-0.31) } {1600} }}[/tex]
[tex]Z = \dfrac{0.03}{\sqrt{ \dfrac{0.31 \times (0.69) } {1600} }}[/tex]
[tex]Z = \dfrac{0.03}{\sqrt{ \dfrac{0.2139} {1600} }}[/tex]
[tex]Z = 2.60[/tex]
What percent of the shaded checker board squares have pieces?
PLEASE HELP I WILL GIVE BRAINLIEST TO CORRECT ANSWER
Answer:
25%
Step-by-step explanation:
From the question given above, the following data were obtained:
Total shaded checker board (T) = 32
Shaded checker board with pieces (S) = 8
Percentage of Shaded checker board with pieces =?
We can obtain the percentage of checker board with pieces as follow:
Percentage of Shaded checker board with pieces = Shaded checker board with pieces / Total shaded checker board × 100
= S / T × 100
= 8 / 32 × 100
= 25%
Therefore, percentage of Shaded checker board with pieces is 25%
3. The students of Sunshine High School are raising money to
support the sports teams. A local organization donated boxes of
popcorn and candy for the students to sell. The freshmen are selling
boxes of popcorn for $1.50 each, and the sophomores are selling
boxes of candy for $3 each. The students' target is to raise at least
$650. The sophomores expect to sell at most 95 boxes of candy. Let
x represent the number of boxes of popcorn sold and y represent
the number of boxes of candy sold. Which system of inequalities
models the given situation?
A. 1.5x +3y > 650
y < 95
B. 1.5x +3y > 650
y < 95
C.
1.5x +3y < 650
y > 95
D.
1.5x +3y > 650
y < 95
Answer:
1.5x + 3y ≥ 650y ≤ 95Step-by-step explanation:
Boxes of popcorn = x, each cost = $1.50
⇒ total = 1.5xBoxes of candy = y, each cost = $3
⇒ total = 3yTotal money raised, sum of the above two:
1.5x + 3yTarget is to raise at least $650:
1.5x + 3y ≥ 650The sophomores expect to sell at most 95 boxes of candy:
y ≤ 95The system of inequalities:
1.5x + 3y ≥ 650y ≤ 95 A carpenter is building a bookcase of height h, length 2h, and width w. The bookcase has two shelves. The plywood to be used for the back costs $1.50 per square foot. The top, bottom , sides, and shelves will be made of pine costing $5 per square foot. Write an equation expressing the total cost of the materials.
Enter your answer in the form: C = ahb + chw, where a, b, c are integers.
Answer:
3h² + 35hw ;
a = 3 ; b = 2 ; c = 35
Step-by-step explanation:
Given that :
Dimension of bookcase :
Height = h ; Length = 2h ; width = w
Area of backside :
Height * length
h * 2h = 2h²
Cos of back material = $1.5 per ft²
Cost = 1.5 * 2h²
Cost = 3h²
Top and bottom :
Length * width
2h * w
Side area = 3 * h * w
Total area : Top + bottom +. Side
Total area : 2hw + 2hw + 3hw = 7hw
Pine = $5 per sq foot
Total cost = $5 * 7hw
= $35hw
Entire cost, C
3h² + 35hw
From the format :
ah^b + chw,
a = 3 ; b = 2 ; c = 35
Plz answer I need help and it's due tomorrow
Answer:
8 √ 5
Step-by-step explanation:
Which professionals most directly use geometry In their work?
O A. accountants
© B. astronomers
O C. judges
© D.
pharmacists
O E. politicians
Answer:
Step-by-step explanation:
In ΔKLM, k = 13 cm, l = 17 cm and m=28 cm. Find the measure of ∠K to the nearest degree.
Answer:
18
Step-by-step explanation:
Delta math
Answer:
18
Step-by-step explanation:
delta math
Vhat is the value of a in the equation 3 a+b=54, when b = 9?
O 15
O 18
O 21
0 27
which graph correctly represents the inequality x - 3y ≥ 6
F. none of them
Answer:
F is the answer lol bye okay A
What is the height of a trapezoid whose bases have lengths of 11 units and 18 units and whose area is 87 square units?
its either
Question 1 options:
5 units,
3 units, or
6 units
Answer:
6 units is answer for it may be correct check it
Answer:
6
Step-by-step explanation:
Took the test on k12
Considering a bag of marbles has 5 green marbles, 3 blue marbles, and 2 red marbles. Three marbles are drawn in sequence and are taken without replacement. What is the probability P( 2nd draw is green| 1st draw is red)?
A) 555.5
B) 55.5
C) 5.5
D) .5555
Answer:
A
Step-by-step explanation:
basta a hehehehhjshshshss
I choose a card at random from a well-shuffled deck of 52 cards. There is a 1/4 probability that the card chosen is a spade, a 1/4 probability that the card is a heart, a 1/4 probability that the card is a diamond, and a 1/4 probability that the card is a club. Both spades and clubs are black cards, whereas hearts and diamonds are red. The events card is a heart and card is a club are
Answer:
The answer is "disjoint events".
Step-by-step explanation:
Please find the complete question in the attached file.
In this question, the Disjointed events were not connected, throughout this, Some other approach to disorganized events was its lack of common outcomes. When it can come at the same time, two events are exclusive to each other. A whole term, that implies excluding each other is disjoined. If had some are united, the chance of them both happening on one is 0, throughout this question, both heart and club can't be cards at the very same time.
22. Write the inequality for the graph shown below.
Help. Please.
Can you solve question 6 and 8 i need it for my math homework
One number is 9 more than twice the other number. Their sum is 54. Find the numbers.
Answer: The Numbers are 15 and 39
Step-by-step explanation: 2(15) + 9 = 39
T varies directly as the square of P and inversely as Z and T=12 when P=3 and Z=6
5. Using k as the constant of variation, which of the following is the equation of variation?
A. T=
\frac{kp {}^{2} }{z}
z
kp
2
B. T=
kpz {}^{2}kpz
2
C. T=
\frac{kz}{p {}^{2} }
p
2
kz
D. T=
\frac{pz {}^{2} }{k}
k
pz
2
6. Which of the following is the value of the variation constant:
A. 6
B. 8
C. 10
D. 12
7. Which of the following is twice the value of T when P=9 and Z=6?
A. 108
B. 216
C. 54
D. 36
Answer:
A. [tex] T= \frac{KP^2}{Z}[/tex]
D. K = 8
B. 216
Step-by-step explanation:
Q. T varies directly as the square of P and inversely as Z and T=12 when P=3 and Z=6
Solution:
According to the given information:
T varies directly as the square of P.
[tex] T\alpha P^2..... (1)[/tex]
T varies inversely as Z.
[tex] T\alpha \frac{1}{Z} ..... (2)[/tex]
Combining equations (1) & (2)
[tex] T\alpha \frac{P^2}{Z}[/tex]
[tex] T= \frac{KP^2}{Z}[/tex]
(Where K is proportionality constant)
(This is the equation of variation)
Plug T=12, P=3 and Z=6 in the above equation of variation, we find:
[tex] 12= \frac{K(3)^2}{6}[/tex]
[tex] 12= \frac{K\times 9}{6}[/tex]
[tex] K= \frac{12\times 6}{9}[/tex]
[tex] K= \frac{72}{9}[/tex]
[tex] K= 8[/tex]
So, the value of the variation constant = 8
Next, plug P=9, Z=6 and K = 8 in the above equation of variation, we find:
[tex] T= \frac{8(9)^2}{6}[/tex]
[tex] T= \frac{8\times 81}{6}[/tex]
[tex] T= \frac{648}{6}[/tex]
[tex] T= 108[/tex]
[tex] 2T= 2\times 108[/tex]
[tex] 2T= 216[/tex]
So, 216 is twice the value of T.
what is 20/4 - 8 please help
Answer:
-3
Step-by-step explanation:
Multiply and divide {left to right}:
20/4 = 5
Add and subtract {left to right}:
5 - 8 = -3
{Negative + Positive = Negative}
Fraction:
The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator.
LCD(20/4, 8/1) = 4
Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD. This is basically multiplying each fraction by 1.
[tex](\frac{20}{4} *\frac{1}{1} )-\frac{8}{1} *\frac{4}{4} )=[?][/tex]
Complete the multiplication and the equation becomes
[tex]\frac{20}{4} -\frac{32}{4} =[?][/tex]
The two fractions now have like denominators so you can subtract the numerators.
Then:
[tex]\frac{20-32}{4} = \frac{-12}{4}[/tex]
Since -12 divided by 4 equals -3 then,
[tex]\frac{-12}{4}=-3[/tex]
Therefore, -3 is the correct Answer or Fraction form = -1/3
[RevyBreeze]
Answer plzzzzzzzzzzzzz
Answer:
x=12.727822
Step-by-step explanation:
Since we know two of the angles, we can find the third. 180-90-45=45. This means the two sides of the triangle are also equal, and we know the hypotenuse is 18. So we can use the Pythagorean theorem.
x²+x²=18²
2x²=324
x²=162
x=√162
x=12.727822
Daniel has a total collection of 200 marbles. 10% of them are red. How many are red marbles in his collection? What is missing in the problem?
Answer:
40(i think)
Step-by-step explanation:
Let S be the set of all integers that are multiples of 6 and let T be the set of all even numbers
Answer:
S = ( 6, 12, 18, 24, 30, 36......)
T = ( 2, 4, 6, 8, 10, 12, 14, 16, 18......)
According to the National Beer Wholesalers Association, U.S. consumers years and older consumed gallons of beer and cider per person during . A distributor in Milwaukee believes that beer and cider consumption are higher in that city. A sample of consumers years and older in Milwaukee will be taken, and the sample mean beer and cider consumption will be used to test the following null and alternative hypotheses:_______.
H0 : µ ≤ 26.9
Ha : µ > 26.9
a. Assume the sample data led to rejection of the null hypothesis. What would be your conclusion about consumption of beer and cider in Milwaukee?b. What is the Type I error in this situation? What are the consequences of making this error?c. What is the Type II error in this situation? What are the consequences of making this error?
Step-by-step explanation:
H0 : µ ≤ 26.9
Ha : µ > 26.9
a. since the null hypothesis is rejected, we would accept the alternative hypothesis and come to the conclusion that there is enough evidence that beer and cider consumption are higher than 26.9 in the city.
b. type 1 error happens when we reject a true null hypothesis.
this error error in this question would be that our conclusion that beer and cider consumption is greater than 26.9 is not true. what is true is that it is equal to or less than 26.9.
the consequence is that is h0 is false it would be harder to reject it at a lower level of significance.
c. type ii error happens when the null hypothesis is accepted even though it is false. here, error would be that cider we accepted that cider and beer consumption is less than or equal to 26.9 when it is actually greater than 26.9
the consequence is that it would be harder to accept a true h0 at a high level of significance
WILL MARK BRAINLIEST
Which value of x makes x-3/4 + 2/3 = 17/12 true?
Answer:
3/2Step-by-step explanation:
Let's solve your equation step by step:
Step 1: Simplify both sides of the equation.
x-3/4+2/3=17/12
x+-3/4+2/3=17/12
(x)+(-3/4+2/3)=17/12 (Combine like terms)
x+-1/12=17/12
Step 2: Add 1/12 to both sides
x+-1/12+1/12=17/12+1/12
x=3/2
Select all expressions that are equivalent to 64^2/3
Answer:
16
Step-by-step explanation:
Answer:
27
Step-by-step explanation:
Help scroll through the pics
Answer:
there is no pics any problem?
Is the set of the following numbers ordered from greatest to least or least to greatest
Answer: Your answer should be least to greatest I believe
The amount of money that Mary earns varies directly with the number of hours worked. If Mary earns $320 for working 40 hours,
determine the constant of variation
A)
6
B)
7
C)
8
D
9
Answer:
(c) 8
Step-by-step explanation:
Help plz...plz don’t steal points..
Answer:
C is the correct answer
Step-by-step explanation:
You just distribute the 5 to the following exponents.
Angelica calculated the distance between the two points shown on the graph below.
On a coordinate plane, line A B has points (2, negative 5) and (negative 4, 5).
Step 1: Use the point C(–4, –5) to make a right triangle with the 90 degree vertex at C.
Step 2: Determine the lengths of the legs: AC = 6 and BC = 10.
Step 3: Substitute the values into the Pythagorean theorem: 10 squared = 6 squared + c squared.
Step 4: Evaluate 10 squared = 6 squared + c squared. 100 = 36 + c squared. 64 = c squared. 8 = c.
She states the length of AB is 8 units. Which best describes the accuracy of Angelica’s solution?
Angelica is correct.
Angelica made an error determining the location of the right angle. The right angle should be at (2, 5).
Angelica made an error counting the lengths of the legs of the right triangle. The lengths should be 7 and 11.
Angelica made an error substituting the values into the Pythagorean theorem. The equation should be c squared = 6 squared + 10 squared.
Answer:
D
Step-by-step explanation:
The length of the side AB is 8 units, which Angelica calculated correctly.
What is the distance formula between two points?The distance formula between two points,
[tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2[/tex].
What is Pythagoras's theorem?In a right-angled triangle, the sum of the squares of the smaller two sides of a right-angle triangle is equal to the square of the largest side.
From the given information AC = 6 units and BC = 10 units.
Therefore, The length of the side AB² = 10² - 6².
AB² = 100 - 36.
AB² = 64.
AB = 8 units.
learn more about Pythagoras's theorem here :
https://brainly.com/question/343682
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