Answer:
The answer is 14.25 pounds.
Step-by-step explanation:
If the package contains 4 bags of flour and a 7 pound bag of sugar which weighs 64 pounds in total;
The total weight of the flour bags is 64 - 7 = 57 pounds.Since the flour bags are identical, they weigh the same. If we divide 57 by 4, we can find that the weight of each bag of flour is 57 / 4 = 14.25 pounds.I hope this answer helps.
Unit Test
Active
What is the measure of LY?
Answer:
9.46 × 1012 kilometres or about 5.88 × 1012 (nearly six trillion miles)
Step-by-step explanation:
Triangle PQR is similar to triangle DEF as shown.
6 cm
cm
P
6 cm
R
D
9 cm
Which describes the relationship between the corresponding sides of the two triangles?
Answer: [tex]\frac{PQ}{PR} = \frac{DE}{DF} (because \frac{4}{6} =\frac{6}{9} )[/tex]
The triangles ΔPQR and ΔDEF are similar and PQ / PR = DE / DF
What are similar triangles?If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.
Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides
Given data ,
Let the first triangle be represented as ΔPQR
Let the second triangle be represented as ΔDEF
The measure of side PQ = 4 cm
The measure of side PR = 6 cm
And , the measure of side DE = 6 cm
The measure of side DF = 9 cm
So , the ratio of corresponding sides of similar triangles are in the same ratio
On simplifying , we get
PQ / PR = DE / DF
4/6 = 6/9
2/3 = 2/3
Hence , the triangles are similar
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PLZ HELP QUICK WILL GIVE BRAINLIEST
Hilda plans to display in a clear cube the needle Betsy Ross used to sew the first American flag. The needle will fit exactly as the diagonal of the cube.
If the side length of the clear cube is 6 inches, and the diagonal of a face of the cube is 6
inches, what is the length of the needle
Answer: the length of the needle is 8.49 inches.
Step-by-step explanation:
The diagram of the clear cube is shown in the attached photo. From the diagram, a right angle triangle ABC is formed.
BC represents the diagonal of a face of the cube.
AB represents the the side length of the clear cube.
AB = h represents the length of the needle
To determine AB, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
Therefore
AB² = 6² + 6² = 72
AB = √72
AB = 8.49
Rita had Rs. 32000 per month. She spent 1/3 of her money on note books and 1/4 of the remainder on stationary items. How much money is left with her?
Answer:
She has Rs 16,000 left with her
Step-by-step explanation:
In this question, we are concerned with calculating how much money is left with Rita after spending the fraction of her monthly income on the things given in the question.
Firstly, she spent 1/3 of this amount on books;
Amount spent on books is thus 32,000/3 = 10,666.67
she spent a quarter of the remainder on stationary items.
Amount spent on stationary items is 1/4 * (32,000 - 10,666.67)
= 1/4 * ( 21,333.33)
= 5,333.3325
The amount of money left with her is just simply calculated by subtracting the amount she has spent from the initial amount she had
Mathematically, that would be 32,000 - (10,666.67 + 5,333.325) = approximately Rs. 16,000
Pythagorean theorem
Answer:
well.....also known as Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.
a^2+b^2=c^2
A=side of right triangle
B=side of right triangle
C=Hypotenuse
if i could get brainliest that would be great
Answer:
The sum of the squares of the legs is equal to the Hypotenuse Square.
Step-by-step explanation:
Its very helpful to use the guide A^2 + B^2 = C^2 when doing a problem.
For example - ---------------> A^2 +B^2= C^2
2^2 +3^2 = C^2
4 + 9 =C^2
13 = C^2
[tex]\sqrt{13} = C[/tex]
Hope this helps!!
4x+41=71 find the value of x
Answer: x = 7.5
Step-by-step explanation:
4x + 41 = 71
Subtract 41 from each side
4x = 30
Divide each side by 4
x = 7.5
Answer:
7.5
Step-by-step explanation:
4x+41 = 71
Subtract 41 from both sides
4x = 30
Divide both sides by 4
x = 7.5
Two boys on bicycles start from the same place and ride in opposite directions. One ndes
one. In 3 hours, they are 27 kilometers apart. What is the rate of speed for each boy
pposite directions. One ndes twice as fast as the other
Final answer:
The rate of speed for the slower boy is 3 km/h, while the rate of speed for the faster boy is 6 km/h.
Explanation:
The rate of speed for each of the two boys can be determined by using the formula:
Rate of speed = Distance / Time
Let's assume the rate of speed of the slower boy is 'x' km/h. Therefore, the rate of speed of the faster boy is '2x' km/h, as mentioned in the question.
For the slower boy: Distance = Speed * Time. Therefore, 3x = x * 3. Solving this equation, we get x = 0 which indicates that the slower boy is not moving.
For the faster boy: Distance = Speed * Time. Therefore, 3 * 2x = 6x.
According to the question, the total distance covered by both boys is 27 km in 3 hours. So, 6x + 3 * 2x = 27. Solving this equation, we get x = 3.
Therefore, the rate of speed for the slower boy is 3 km/h and the rate of speed for the faster boy is 6 km/h.
What is the answer when you add. 2/100 + 4/10
Answer:
0.42 or 21/50
Step-by-step explanation:
2/100=0.02 or 1/50
4/10=0.4 or 2/5
0.4+0.02=0.42
1/50+2/5=21/50
195
What is the area of the following circle?
Either enter an exact answer in terms of T or use 3.14 for I and enter your answer as a decimal.
d = 14
Answer:
A =153.86
Step-by-step explanation:
The diameter is 14
That means the radius is 7
r = d/2 = 14/2 = 7
The area of a circle is
A = pi r^2
A = 3.14 * 7^2
A =153.86
Cost to store
Percent of markup: 15%
Selling price: $85.10
Final answer:
To find the original cost before a 15% markup that results in an $85.10 selling price, divide the selling price by 1.15, which gives you $74.00.
Explanation:
The question is asking how to calculate the original cost of a product, given the selling price and the percent of markup. We can use the following formula to find the original cost (also known as the cost price):
Original Cost = Selling Price / (1 + Markup Percentage)
First, convert the percent of markup from a percentage to a decimal by dividing by 100:
15% / 100 = 0.15
Then apply the formula using the given selling price of $85.10:
Original Cost = $85.10 / (1 + 0.15)
Original Cost = $85.10 / 1.15
Original Cost = $74.00
Therefore, the original cost of the item before the 15% markup was applied is $74.00.
Circle O is shown. Line segments O C and O B are radii. Lines are drawn from points C and B to point A to form chords. Angle C A B is 60 degrees. Which statements are true? Check all that apply. mArc C B = 120° mArc C B = 60° m∠COB = 2(m∠CAB) m∠COB = 120° m∠COB = One-half (m∠CAB)
Answer:
A, C, D, on Edge 2020
Step-by-step explanation:
The true statements about the circle are;
mArc C B = 120° m∠COB = 2(m∠CAB) m∠COB = 120° What is a line segment?A line segment is known to be a kind of line that has two endpoints. It is said to have endpoints and some other points of the line found between them.
The angle intercepted on opposite side of the circle from an ARC is one that measure of half of the Arc.
Note that ∠CBA is half of the ARC CA.
∠CAB is given as 60°
So 60*2 will give you mArc C B = 120°. The same method is applicable to m∠COB = 120°
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What is 0.313131 as a fraction
Answer
the answer for this question is 31/99
x = 0.3131313...
100x = 31.31313...
99x = 31
x = 31/99
Please help, mathematics—probabilities.
Answer:
I would expect it to change, because experimental probability is based on the experiment unlike theoretical probability which is based in equations.
Step-by-step explanation:
Which line segment is not a diagonal through the
interior of the cube shown?
BE
CH
CE
DG
Answer:
CE
Step-by-step explanation:
Just answered the question
What are the solutions of x2 + 10x + 16 = 0?
x2 + 10x + 16 = 0
(x + 2)(X + 8) = 0
x + 2 = 0 or X + 8 = 0
and x =
1. Write the equation in standard form.
2. Factor the polynomial.
3. Apply the zero product property.
4. Solve the resulting equations.
Answer:
-2 and -8
Step-by-step explanation:
on edge
Answer:
x = -2 and x = -8
Step-by-step explanation:
I don't know if you can see the screenshot but I got it right on edge. Good luck :)
Over the course of the semester, Donnie's eight test scores averaged a 76. He looked through his notebook, but he could only find seven of the tests. The test scores he has in his notebook are 71, 92, 87, 75, 64, 70, 83. What score did Donnie make on the test that is missing from his notebook?
A) 62
B) 66
C) 72
D) 77
E) 82
Donnie's average test score is 76 for all eight tests. The sum of his seven known test scores is 542. To find the missing score, subtracting this sum from the sum of all eight scores gives a missing test score of 66.
The correct answer is option B.
To find Donnie's score on the missing eighth test, we can use the fact that the average of all eight test scores is 76.
The sum of the eight test scores is 8 * 76 = 608 (since the average is calculated by summing all the scores and dividing by the number of scores).
Now, we know the sum of the seven test scores in his notebook:
71 + 92 + 87 + 75 + 64 + 70 + 83 = 542
To find the missing score, subtract the sum of the known scores from the sum of all eight scores:
608 - 542 = 66
So, Donnie's score on the missing eighth test is 66.
The correct answer is: B) 66
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PLEASE HELP!!
The height of a triangle is 4 inches more than twice the length of the base. The area of the triangle is 35 square inches. Find the height of the triangle.
Find each percentage of 60.
3% of 60
Answer:
1.8
Step-by-step explanation:
We want 3% of 60 = 0.03 * 60 = 1.8
The Sunday Times had 14 sections with an average of 16 pages per section. How many pages were in the entire newspaper?
Answer:
224 pages total
Step-by-step explanation:
To find how many total pages, you have to multiply the number of sections by the number of pages in each section. 14 sections times 16 pages per section equals a total of 224 total pages.
according to the dimensions given on the right rectangular prism, what is the volume, in cubit units?
Answer:
22.5
Step-by-step explanation:
9*.5*5=22.5
What is the value of x in the solution to this system of linear equations?
x+y=4
x-y=6
Answer:
X = 5
Step-by-step explanation:
x+y=4
x-y=6
Substitute x = 4 - y
4 - y - y = 6
Substitute y for -1
x = 4 - (-1)
x = 5
A dozen oranges $2.00. How many oranges can be bought for $10.00?
ANSWER IS 60
EXPLAIN- 10/2= 5
5 TIMES 12= 60
How you do this
I need help
I’m crying
Answer:
2
Step-by-step explanation:
A 30 60 90 triangle tells us all the sides as long as we know one of the sides. (you can google it and it will show you). Looking at the picture added below, we can solve for j. The x in the picture is j and the 2x in the picture is 4. Thus we know that 2x=4 which means x=2
which number line model represents the expression -1/2 + 5/4 i will give brainlest
Answer:B
Step-by-step explanation:
The expression -1/2 + 5/4 represents a point on an numerate line approximately three-quarters of the way between 0 and 1, to the right of zero.
Explanation:To represent the expression -1/2 + 5/4 on a numeral line, it is important first to understand the properties of fractions and their positioning on a numeral line. The fraction -1/2 is situated to the left side of the zero point. The fraction 5/4 is situated slightly beyond the whole number 1, given that it is greater than 1.
To visualize the sum, one can evaluate the fraction numerically, or equivalently, approximately 0.75 when converted to decimals. Since 0.75 is a positive value, it will be on the right side of 0 on the number line, but still within the range of the first whole number (1).
In conclusion, the expression -1/2 + 5/4 represents a point on a number line that is three-quarters of the way between 0 and 1, to the right of the 0, indicating a positive fraction when visualized on a number line.
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Find the probability that a randomly selected student prefers dogs or is female enter answer as a fraction or decimal
To find the probability that a randomly selected student prefers dogs or is female, we need to add the probabilities of these two events. If we assume that these events are independent, we can estimate the probability by multiplying the probabilities of each event.
Explanation:To find the probability that a randomly selected student prefers dogs or is female, we need to add the probabilities of these two events. Let's say the probability of a student preferring dogs is P(D) and the probability of a student being female is P(F). Then, the probability that a student prefers dogs or is female, P(D or F), is given by P(D or F) = P(D) + P(F) - P(D and F).
Since we don't have the individual probabilities P(D) and P(F), we can't calculate the exact probability. However, if we assume that these events are independent, we can estimate the probability by multiplying the probabilities of each event.
For example, if the probability of a student preferring dogs is 0.4 and the probability of a student being female is 0.6, then the estimated probability that a randomly selected student prefers dogs or is female would be 0.4 + 0.6 = 1.
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Buffy attends a night school, and the ages of the people in his study group are 42, 55, 36, 41, 38, 33, and 46. What is the best estimate of the population mean for ages of night school attendees? Enter your answers rounded to the nearest tenth.
Answer:
41.6
Step-by-step explanation:
Consider the expression?
Please help me !
Answer:
sqrt(-8x+5)
Step-by-step explanation:
(5-8x)
-----------------
sqrt(-8x+5)
We need to rationalize the denominator
(5-8x) sqrt(-8x+5)
----------------- * ---------------
sqrt(-8x-5) sqrt(-8x+5)
(5-8x) sqrt(-8x+5)
----------------- * ---------------
(-8x+5)
The first term cancels
sqrt(-8x+5)
Answer:
Second option
Step-by-step explanation:
The radical represents the square root, i.e power ½
(5 - 8x) ÷ (5 - 8x)^½
(5 - 8x)^(1-½)
(5 - 8x)^½
(-8x + 5)^½ (just a rearrangement)
If bc = 11 cm and tan ABC= 8 over 11 what is the area of angle ABC
Answer:
The Answer is D
Step-by-step explanation:
The area of the given triangle would be 44 cm². Hence, option (d) is true.
Used the formula for the area of a triangle,
Area of triangle = 1/2 × Base × Height
Given that,
The triangle ABC is shown in the image.
Here, BC = 11 cm
Tan ∠ABC = 8/11
Used the formula for tan x,
tan x = AC/BC
8/11 = x/11
x = 8 cm
Since, Area of triangle = 1/2 × Base × Height
Base = 8 cm
Height = 11 cm
So, we get;
A = 1/2 × 8 × 11
A = 44 cm²
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4d+ 8 in distributive property expression
Answer:
Step-by-step explanation:
Greatest common factor of 4d and 8 is 4
4d + 8 = 4d + 4*2
=4(d + 2)
A
B
C
D
what is the answer!
Answer:
-20
Step-by-step explanation:
Substitute a point into the equation
y = -10x+b
-320 = -10(30) + b
-320 = -300+b
Add 300 to each side
-320+300 =-300+300+b
-20 =b