Answer:
The answer is below
Step-by-step explanation:
A drink is made by adding water to juice.
Instructions
Add an amount of water that is between 3 times and 5 times the amount of juice
Tanya has 130 ml of juice.
If she follows the instructions, work out the minimum and maximum amounts
of the drink she can make.
Solution:
The minimum amount of water that can be added to the juice is 3 times the amount of the juice, hence:
Minimum amount of water = 3 * 130 ml of juice = 390 ml of water
Therefore minimum amount of drink = 390 ml of water + 130 ml of juice
minimum amount of drink = 520 ml
The maximum amount of water that can be added to the juice is 5 times the amount of the juice, hence:
Maximum amount of water = 5 * 130 ml of juice = 650 ml of water
Therefore maximum amount of drink = 650 ml of water + 130 ml of juice
Maximum amount of drink = 780 ml
Find the percent of markup on a T-shirt that has a store cost of $4.87 and a selling price of $15.95
Answer:
69.47%
Step-by-step explanation:
Calculation to determine Find the percent of markup
Using this formula
Percent of markup=New price-Old price/Old price
Let plug in the formula
Percent of markup=$15.95-$4.87/$15.95
Percent of markup=$11.08/$15.95
Percent of markup=0.6947*100
Percent of markup=69.47%
Therefore the percent of markup is 69.47%
Part A
Whose scatter plot matches the data, and what is wrong with the incorrect scatter plot?
Answer: hello your question has some missing data attached below is the missing data
answer:
The second scatter plot
Step-by-step explanation:
The scatter plot that matched the data is the second scatter plot while the first scatter plot wrongly represents the data because values of the Iron not present in the data is also represented in the scatter plot and also some values present in the data table is also missing in the First scatter plot
Answer:
Hello, I am currently doing the same assignment and the brothers scatter plot would be wrong.
Step-by-step explanation:
If you do not believe me then check and see how the table says the iron used were 2, 3, 4, 5, 6, 7, 8, and 9 but in the brothers scatter plot it is shown to have the irons down as 1, 2, 3, 4, 5, 6, 7, and 8.
(in other words the other person who answered is correct)
can somebody help plz
Answer:
(3,2)
Step-by-step explanation:
the other three ordered pairs do not lie in the shaded region
6.
Determine the range of the following test scores.
History Test 2 Scores (out of 100)
95
92
89
88
85
85
84
80
78
73
72
72
70
68
67
62
59
52
40
32
a.
95
b.
32
72
c.
d.
63
Answer:
63 is the range of the following test scores.
Step-by-step explanation:
1. The largest number is 95.
2. The smallest number is 32.
3. The range is the difference between the largest and the smallest number.
4. Subtract 95 - 32 which equals 63.
5. 63 is the range of the following test scores.
Use the Pythagorean theorem and the following diagram to help you find the area and perimeter of the following triangle. Please show your work and steps, so partial credit may be given:
Answer:
Perimeter = 30
Area = 30
Step-by-step explanation:
[tex](x+8)^2 -x^2 = 12^2[/tex]
[tex]x^2 +16x +64 - x^2 = 144[/tex]
[tex]16x+64=144[/tex]
[tex]16x = 80[/tex]
[tex]x = 5[/tex]
Double check:
[tex]\sqrt{12^2 + 5^2} = (5+8)\\\sqrt{12^2 + 5^2} = 13\\13 = 13[/tex]
Perimeter:
[tex]12+5+13=30[/tex]
Area([tex]\frac{1}{2}bh[/tex]):
[tex]\frac{1}{2}[/tex] × 12 × 5 = 30
According to Pythagorean theorem,
Δ (Hypotenuse)² = (1st Leg)² + (2nd Leg)²
⇒ (x + 8)² = x² + 12²
⇒ x² + 64 + 16x = x² + 144
⇒ 16x = 80
⇒ x = 5
Hypotenuse = (x + 8) = (5 + 8) = 13
1st Leg = 5
2nd Leg = 12
We know that : Perimeter is the Sum of all sides of the Triangle
⇒ Perimeter = Hypotenuse + 1st Leg + 2nd Leg
⇒ Perimeter = 13 + 5 + 12
⇒ Perimeter = 30
We know that :
[tex]\bigstar \ \ \boxed{\sf{\textsf{Area of a Triangle is given by} : \dfrac{1}{2} \times Base \times Height}}[/tex]
Base = 1st Leg
Height = 2nd Leg
[tex]\implies \sf{\textsf{Area of the Triangle} = \dfrac{1}{2} \times 5 \times 12}[/tex]
[tex]\implies \sf{\textsf{Area of the Triangle} = 30}[/tex]
What is a two-column proof
Answer:
A two-column proof uses a table to present a logical argument and assigns each column to do one job, and then the two columns work in lock-step to take a reader from premise to conclusion.
Step-by-step explanation:
Basically in simple terms, one side is the statements, and the otherside is the reasoning
Lee ran a mile in 7 1/3 minutes. His friend Sam ran the same mile in 8 5/9 minutes. How many minutes faster did Lee run? (First answer will be the brainliest)
Answer:
1 2/9 minutes faster
Step-by-step explanation:
Take the larger number and subtract the smaller number
8 5/9 minutes - 7 1/3 minutes
Get a common denominator
8 5/9 - 7 1/3 *3/3
8 5/9 - 7 3/9
1 2/9 minutes faster
What is the value of x in the triangle?
Round your final answer to the
nearest hundredth
Given:
In a right angle triangle,
Hypotenuse = 25 cm
Base = x
Angle between base and hypotenuse = 18 degrees.
To find:
The value of x.
Solution:
In a right angle triangle,
[tex]\cos \theta =\dfrac{Base}{Hypotenuse}[/tex]
In the given right triangle,
[tex]\cos (18^\circ) =\dfrac{x}{25}[/tex]
[tex]\cos (18^\circ) \times 25=x[/tex]
[tex]0.9510565 \times 25=x[/tex]
[tex]23.7764125=x[/tex]
Round the answer to the nearest hundredth (two decimal).
[tex]x=23.78[/tex]
Therefore, the value of x is about 23.78 cm.
Which of the following shows 3x + 15 + 6x – 7 + y in simplest terms?
it should be
9x+1y+8
^it could be just y instead of 1y
Answer:
the answer is = 9x+y+8
Step-by-step explanation:
...
Keelie has a triangular-shaped card. The lengths of its sides are 3 cm, 4 cm, and 5 cm. Is the card a right triangle?
Answer:
Yes, the card is a right triangle.
Step-by-step explanation:
The card is a right triangle, specifically a 3-4-5 right triangle.
A 3-4-5 right triangle is any right triangle that has side lengths in the ratio of 3:4:5.
The 3-4-5 rule says that any triangle with a side length ratio of 3:4:5 is a right triangle.
So, the card is a right triangle.
Can someone help I’m confused
Answer:
D and E
Step-by-step explanation:
Let's double check:
D. 9 ÷ 3 = 3
E. 4 × 9 = 36
---------------------------------------------------------------------------------------------------------------
Have a great summer :)
Answer:
the answers would be A, D, and E
Step-by-step explanation:
just replace the Cs with the number 9 and solve from there.
for example c/3=3 would say 9/3=3
2. The direct distance between city A and city B is 200 miles. The direct distance
between city B and city C is 300 miles. Which could be the direct distance between city
C and city A?
1) 50 miles
2) 350 miles
3) 550 miles
4) 650 miles
Answer:
2
Step-by-step explanation:
help please! the question is in the picture below for reference when answering! thank you so much!
Answer:
101°
Step-by-step explanation:
In the rightmost triangle the missing angle is:
180° - 51° - 90° = 39° . 90° comes from the other angle in the straight horizontal line, because there is a 90° on the other side
In the leftmost triangle, the missing angle is:
180° - 90° - 50° = 40° . 50° comes from 180° - 130°
In the straight line
ABC = 180° - 40° - 39° = 101°
Answer = 101°
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
helpppppppppppppppppppppppppppppppppp!!!!!!!!!
can the angles with measures 80o , 55o and 65o form angles on a line
Answer:
Nope, this is because the angles in a triangle add up to 180, whereas these values added are equal to 200 degrees
No, the angles with measures 80°, 55°, and 65° cannot form angles on a line.
In geometry, angles on a line are also known as "linear angles" or "straight angles." A straight angle measures 180°, and it is formed by two rays that point in opposite directions and share a common endpoint, creating a straight line. To determine if the given angles can form a straight angle, we need to add their measures.
Let's calculate the sum of the given angles:
Sum = 80° + 55° + 65°
= 200°
Since the sum of the given angles (200°) is not equal to 180°, it means that the angles cannot form a straight line. Instead, they form a shape that is not a straight angle, such as a triangle or a polygon.
In this case, the given angles form a triangle since they satisfy the triangle inequality theorem. The sum of any two sides of a triangle is always greater than the third side. Mathematically, for a triangle with sides of lengths a, b, and c, the inequality holds: a + b > c, b + c > a, and c + a > b.
Therefore, the angles with measures 80°, 55°, and 65° cannot form angles on a line but rather form a triangle with a sum of 180°, satisfying the triangle inequality.
To know more about Linear Angles here
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?
Answer:
Step-by-step explanation:
She made the -2(6) as a positive 12. it should've been a negative 12 because a negative multiplied by a positive is a negative.
Please help first correct will get brainliest. JKL PQR find the value of x
Answer:
x = 30
Step-by-step explanation:
If two triangle are similar then the measure of their corresponding sides are
proportional.
[tex]\frac{JL}{PQ} = \frac{JK}{PR}\\\\\frac{20}{x} = \frac{24}{36}\\\\x \times 24 = 20 \times 36[/tex] [tex][ \ cross \ multiply \ ][/tex]
[tex]x = \frac{20 \times 36}{24}\\\\x = 5 \times 6 = 30[/tex]
Shape a and shape b are each made from four identical sqaures the perimeter of shape a is 56 cm work out shape b
Answer:
44.8 cm
Step-by-step explanation:
Given
See attachment for shapes
[tex]P_A= 56cm[/tex]
Required
The perimeter of B
Let the length of a side of the square that makes up A be, l.
So, we have:
[tex]P_A = 10 * l[/tex] --- because A is formed by 10 sides of l
[tex]56 = 10 * l[/tex]
[tex]l =\frac{56}{10}[/tex]
[tex]l =5.6[/tex]
The perimeter of B is:
[tex]p_B = 8*l[/tex] --- because B is formed by 8 sides of l
[tex]p_B = 8*5.6[/tex]
[tex]p_B = 44.8[/tex]
Which expression is equivalent to 4(2x + 1)?
8x + 1
8x +4
6x + 5
O
2x + 4
Answer:
8x + 4
Step-by-step explanation:
You just gotta distribute 4(2x+1) and it gives you the expression 8x + 4
witch one is greater 428,745 or 428,745
They are the same amount. neither is greater or lesser than the other.
Please help me on this question
Answer:
A = 6π
Step-by-step explanation:
Expression for the area of a sector is given by,
A = [tex]\frac{\theta}{360}(\pi r^{2} )[/tex]
For θ = 240° and r = 3,
By substituting these values in the given expression,
A = [tex]\frac{240}{360}(\pi) (3)^{2}[/tex]
= [tex]\frac{240\times 9}{360}\pi[/tex]
= 6π
Therefore, A = 6π is the answer.
Select the correct answer.
A school bus has 25 seats, with 5 rows of 5 seats. 15 students from the first grade and 5 students from the second grade travel in the bus. How
many ways can the students be seated if all of the second-grade students occupy the first row?
OA 25P20
OB. SPs * 20P15
OC5C525C14
OD. SPs *15P15
OE PSX25C5
Answer:
B. [tex]^{5} P_{5}[/tex] × [tex]^{20} P_{15}[/tex]
Step-by-step explanation:
No. of students from first grade = 15
No. of students from second grade = 5
There are 5 rows of seats
Each row contains 5 seats
Total seats = 25
No. of ways for second-grade students to occupy the first row (i.e first 5 seats) = [tex]^{5} P_{5}[/tex]
Remaining seats = 20
So, now we are left with 15 first grade students
So, No. of ways for first-grade students occupy remaining seats = [tex]^{20} P_{15}[/tex]
Using the counting rule principle,
No. of ways for the students can be seated if all of the second-grade students occupy the first row = [tex]^{5} P_{5}[/tex] × [tex]^{20} P_{15}[/tex]
So, Option B is the correct answer
Hence, no. of ways for the students can be seated if all of the second-grade students occupy the first row is ×
There are ¹⁵P₁₅ x ¹⁰P₅ possible way to seat, if all of the second-grade students occupy the first row.
What is permutation?A permutation in math is the number of ways in which a set of data or objects can be ordered or arranged, where the order matters.
Given that, a school bus has 25 seats, with 5 rows of 5 seats. 15 students from the first grade and 5 students from the second-grade travel in the bus.
Since you have to place all first-grade students in the first three rows,
Therefore,
For the 15 first-graders of the first three rows (15 seats), we have ¹⁵P₁₅ since all 15 places have to be occupied by all 15 first-graders.
Then we have 10 remaining seats left to be assigned to the 5 second-graders = ¹⁰P₅
We then multiply the permutation numbers of those two arrangements to get the total ways:
¹⁵P₁₅ x ¹⁰P₅
Hence there are ¹⁵P₁₅ x ¹⁰P₅ possible way to seat, if all of the second-grade students occupy the first row.
Learn more about permutation click;
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Please help me‼️
Question: select all the equations that can be represented by a straight line when graphed on the coordinate plane
Answer:
B, D, EStep-by-step explanation:
Straight line equation is in the form of:
ax + by = cLets verify the options:
A- no, simplified, it is 1 + xy = 9xB- yesC- no, because of y²D- yesE- yesF - no, simplified it is a quadratic equationName the labelled points between A and C B and D B and E E and A
Would appreciate any assistance
Answer:
The answer is 37
Step-by-step explanatio
Find the volume of a right circular cone that has a height of 20 ft and a base with a
radius of 9.1 ft. Round your answer to the nearest tenth of a cubic foot.
Cho tam giác ABC có AB =4cm ,AC=5cm,BC=6cm.Trên tia đối của tia AB lấy điểm D sao cho AD=5cm a) chứng minh : tam giác ABC đồng dạng với tam giác CBD b) tính CD
Answer:
meta beta
Step-by-step explanation:
diem ryugudnhkng.
find the equation of a circle with a point at ( 10 , - 4 ) and a point at ( -2 , - 4 )
Answer:
Solution given:
letA=(10,-4)
B=(-2,-4)
centre[C](h,k)=[tex]\frac{10-2}{2},\frac{-4-4}{2}=(+4,-4)[/tex]
radius=[tex]\sqrt{(4-10)²+(-4+4)²}=6[/tex]units
we have
Equation of a circle is;
(x-h)²+(y-k)²=r²
(x-4)²+(y+4)²=36
or.
x²-8x+16+y²+8y+16=36
x²-8x+8y+y²=36-32
x²-8x+8y+y²=4
The equation is (x-4)²+(y+4)²=36 or x²-8x+8y+y²=4.
Answer:
[tex] \rm\displaystyle (x - 4) ^{2} + {(y + 4)}^{2} = 36[/tex]
Step-by-step explanation:
the given points are the diameter points of circle because notice that in the both points y coordinate is the same therefore it's a horizontal diameter
since (10,-4),(-2,-4) are the diameter points of the circle the midpoint of the diameter will be the centre of the circle
remember midpoint formula,
[tex] \displaystyle M = \left( \frac{x _{1} + x_{2} }{2} , \frac{ y_{2} + y_{2}}{2} \right)[/tex]
let,
[tex] \displaystyle x _{1} = 10[/tex][tex] \displaystyle x _{2} = - 2[/tex][tex] \displaystyle y _{1} = - 4[/tex][tex] \displaystyle y _{2} = -4[/tex]thus substitute:
[tex] \rm\displaystyle M = \left( \frac{10 + ( - 2)}{2} , \frac{ - 4 + ( - 4)}{2} \right)[/tex]
simplify addition:
[tex] \rm\displaystyle M = \left( \frac{8}{2} , \frac{ - 8}{2} \right)[/tex]
simplify division:
[tex] \rm\displaystyle M = \left( 4, - 4 \right)[/tex]
so the centre of the circle is (4,-4)
since it's a horizontal diameter the the redious will be the difference between the x coordinate of the Midpoint and the any x coordinate of the given two points but I'll use (-2,-4) therefore the redious is
[tex] \displaystyle r = 4 - ( - 2)[/tex]
simplify which yields:
[tex] \displaystyle\boxed{ r =6}[/tex]
recall the equation of circle
[tex] \displaystyle (x - h) ^{2} + {(y - k)}^{2} = {r}^{2} [/tex]
we acquire that,
h=4k=-4r=6therefore substitute:
[tex] \rm\displaystyle (x - 4) ^{2} + {(y - ( - 4))}^{2} = {6}^{2} [/tex]
simplify:
[tex] \rm\displaystyle (x - 4) ^{2} + {(y + 4)}^{2} = 36[/tex]
and we are done!
also refer the attachment
(the graph is web resource of desmos)
A-which temperature is warmer, -2 degrees Celsius or, -5 degrees Celsius B-Write and inequality to express the relationship between -2 and -5
Answer:
Step-by-step explanation:
On a number line, -2 appears to the right of -5, and therefore -2 is warmer than -5. (Answer A)
The difference between -2 and -5 is -2 - (-5) = 5 - 2 = 3 degrees C (Answer B)
In other words, -2 is 3 degrees C warmer than -5 degrees C.
Confused on this work
We know that :
⊕ Sum of the interior angles in a Pentagon should be equal to 540°
⇒ x° + (2x)° + (2x)° + 90° + 90° = 540°
⇒ (5x)° = 540° - 180°
⇒ (5x)° = 360°
[tex]\sf{\implies x^{\circ} = \dfrac{360^{\circ}}{5}}[/tex]
⇒ x° = 72°