Answer:
Daniel will need [tex]19\frac{1}{2}[/tex] feet wood to complete his home project.
Step-by-step explanation:
We are told that Daniel needs 13 pieces of wood, each [tex]1\frac{1}{2}[/tex] feet long, to complete his home project.
To find total amount of wood needed we will multiply number of wood pieces by length of each wooden piece.
First of all we will convert our mixed fraction to improper fraction as: [tex]1 \frac{1}{2} =\frac{3}{2}[/tex]
Now let us multiply our values.
[tex]13*\frac{3}{2} =\frac{39}{2}[/tex]
Now we will convert this improper fraction to mixed fraction to find our final answer.
[tex]\frac{39}{2}=19\frac{1}{2}[/tex]
Therefore, Daniel needs [tex]19\frac{1}{2}[/tex] feet wood to complete his home project.
The expression 50w + 400 represents the amount of money Jenny has in her savings account after an unknown number of weeks. How much money does Jenny originally have in her savings account? Which part of the equation represents the amount of money she will put away each week? Explain your answers.
name the property of multiplication by the equation 17x × 1= 17x
Final answer:
The equation 17x × 1 = 17x illustrates the Identity Property of Multiplication, indicating that multiplying by one does not change the value of a number.
Explanation:
The equation 17x × 1 = 17x demonstrates the Identity Property of Multiplication. This property states that when any number is multiplied by one, the result is the original number. It's called the identity property because one is the identity element for multiplication. Multiplication or division by the same number on both sides of an equation will not change the equality. Therefore, multiplying by one does not alter the value of the quantity.
For example, the equation could also be expressed as 1 × 17x = 17x, showcasing the Commutative Property of Multiplication, which allows us to change the order of the factors without changing the product. However, the main focus here is the identity property, as the number stays the same after multiplication by one.
A student had to multiply 328 x 41. The student’s answer was 4,598. Use estimation to explain why this answer is not reasonable
Which statement correctly describes the relationship between △ABC and △A′B′C′ ?
a . △ABC is congruent to △A′B′C′ because you can map △ABC to △A′B′C′ using a reflection across the y-axis, which is a rigid motion.
b . △ABC is not congruent to △A′B′C′ because there is no sequence of rigid motions that maps △ABC to △A′B′C′.
c . △ABC is congruent to △A′B′C′ because you can map △ABC to △A′B′C′ using a translation 6 units to the left, which is a rigid motion.
d . △ABC is congruent to △A′B′C′ because you can map △ABC to △A′B′C′ using a translation 6 units to the right, which is a rigid motion.
Left and right motion indicates change in x-value.
If we subtract 6 from the x-coordinate of each point,
A(3, 4) will be transferred to A'(3-6, 4) = A'(-3, 4).
B(4, 0) will be transferred to B'(4-6, 0) = B'(-2, 0).
C(2, 1) will be transferred to C'(2-6, 1) = C'(-4, 1).
Hence, the correct option is c. Δ ABC is congruent to Δ A'B'C' because you can mapΔ ABC to Δ A'B'C' using a translation 6 units to the left, which is a rigid motion.
8 x 19 in distributive property
2(9+3) in distributive property
thanks
I need them in distributive property
Answer:
8(10) + 8(9)
2(9) + 2(3)
Step-by-step explanation:
Simplest form of 7/9 x 21/10
Maggie's brother is 8 years younger than four times her age. The sum of their ages is 67.
How old is maggie?
I need help plz 11 only plz
A miner descended 1400 feet into a mine from the mine's entrance. While in the mine, he then rose 800 feet and then descended 450 feet. What was the miner's net gain or loss in altitude from the entrance of the mine?
descended would mean he was -1400 feet from the entrance
he then rose 800 feet so
-1400 + 800 = -600 feet
he then went down 450 feet
-600 - 450 = -1050 feet
net loss was 1050 feet
Monyne created a map of her neighborhood.She colored in the distance from her school to her house and wrote on the map that the distance was 0.7 of a mile. Write the distance between Monyne's house and her school as a fraction.
Natalie walked 3/5 mile in 1/2 hour how fast did she walk in miles per hour
The speed of Natalie in miles per hour is 1.2 mph.
The given parameters;
distance covered by Natalie, d = 3/5 miletime of motion of Natalie, t = 1/2 hourThe speed of Natalie in miles per hour is obtained by dividing the distance covered by Natalie by the time of motion.
The value of this speed is calculated as;
[tex]speed = \frac{distance }{time} \\\\speed = \frac{3/5}{1/2} = \frac{3\times 2}{5} = \frac{6}{5} = 1.2 \ mph[/tex]
Thus, the speed of Natalie in miles per hour is 1.2 mph.
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please help me with a multiple choice question
find two consecutive odd integers such that 44 more than the lesser is three times the greater
Final answer:
To find the two consecutive odd integers, we set up the equation n + 44 = 3(n + 2), where n is the lesser integer. Solving the equation gives us n = 19, so the integers are 19 and 21.
Explanation:
The question asks to find two consecutive odd integers such that 44 more than the lesser is three times the greater. Let's denote the lesser integer as n and the greater as n + 2, as consecutive odd integers differ by 2. We can set up the following equation based on the given information: n + 44 = 3(n + 2).
Now, we solve for n:
n + 44 = 3n + 6
Subtract n from both sides: 44 = 2n + 6
Subtract 6 from both sides: 38 = 2n
Divide both sides by 2: 19 = n
Therefore, the lesser integer is 19, and the greater integer is 19 + 2 = 21.
kok yang's mass is 2/7 of Melvin's mass. Express Melvin's mass as a fraction of Kok yang's mass? What is the ratio of Kok Yang's mass to Melvin's mass?What is the ratioof Melvin's mass to the total mass?
Melvin's mass expressed as a fraction of Kok Yang's mass is 7/2. The ratio of Kok Yang's mass to Melvin's mass is 2:7, and the ratio of Melvin's mass to the total mass of both combined is 7:9.
Explanation:If Kok Yang's mass is 2/7 of Melvin's mass, we need to express Melvin's mass as a fraction of Kok Yang's mass. To do this, we set Kok Yang's mass to 1 (as a convenient reference) and Melvin's mass then becomes 7/2 times Kok Yang's mass, since 1 is 2/7 of 7/2. Therefore, Melvin's mass in terms of Kok Yang's mass is 7/2.
The ratio of Kok Yang's mass to Melvin's mass, given that Kok Yang's mass is 2/7 of Melvin's mass, is simply 2:7.
Is 0.3 a good estimate for 1/3 ??
Explain your reasoning
On a hike, each hiker carries the items shown. Write an expression in simplest form that represents the weight (in pounds) carried by x hikers. Interpret the expression.
A hiker has the following items:
A sleeping bag that weighs 3.4 lb
A Camping bag that weighs 4.6 lb
And a water bottle that weighs 2.2 lb.
The expression would be:
3.4x + 4.6x + 2.2x = x
Where x is the weight that each x hikers are carrying.
You just need to add the three items and the answer would be 10.2 pounds.
We want to find the total weight that each hiker carries by adding the weights of all individual items that they carry. And then we want an expression for the total weight that x hikers carry.
These items can be seen in the image at the end of the answer.
We will see that the total weight carried by x hikers is given by:
W(x) = (10.2lb)*x
--------------------------------
First, let's find the weight that each hiker carries.
Each hiker carries:
Sleeping bag of 3.4 lb.Backpack of 4.6 lb.Water bottle of 2.2 lb.The total weight is:
T = 3.4 lb + 4.6 lb + 2.2 lb = 10.2 lb
Then if each hiker carries 10.2 lb of weight, and there are x hikers, the total weight carried by them will be x times 10.2 lb
We have:
W(x) = (10.2lb)*x
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F(n) = 1.25n + 6.25 ; 25 the explicit rule for a sequence and one of the specific terms is given find the postion of the given term
strawberries cost $2 per pound and gets 20% discount on the total cost. How much does Kate pay for the strawberries?
With the 20% off coupon, Alexis received a discount of $15 on her shoes. What was the regular price of her shoes before the 20% off coupon was applied? Justify your answer using equations, models, and/or words to explain your mathematical reasoning. Answer
what is 6x+30=3x-42 whats the answer
The value of -4 2 is _____. pls help
The value of -4 squared (-4^2) is -16 because the exponent only applies to 4, not the negative sign. To include the negative in the exponent, use parentheses like (-4)^2 = 16.
Explanation:The value of -4^2 is -16. This is because the exponent applies only to the number 4 and not the negative sign in front of the 4. In other words, -4^2 means -(4*4) which is -16. To make the negative part of the base, the operation should be placed in parentheses like (-4)^2 = 16.
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The complete question is given below:
The value of -4^2 is _____.
Kinda stuck on this please help thank you so much
At 1 pm you have 24 megabytes of a movie at 1:15 PM you have 96 megabytes. What is the download rate in megabytes per minute? (Show work)
3. For ΔFHG, find the measure of the smallest angle, ∠HFG, if m∠ GHF = 92° and m∠HGF =
72°
Answer: The Answer is 16
A pair of running shoes cost $22.29. The store owner wanted to make a profit of $18.50. What should be the shoes’ selling price?
Final answer:
The selling price for the running shoes should be $40.79 to include the cost price of $22.29 and the desired profit of $18.50.
Explanation:
To calculate the selling price of the running shoes to achieve a desired profit of $18.50, we simply add the cost of the shoes to the desired profit.
The cost of the shoes is $22.29, and the store owner wants to make a profit of $18.50.
Therefore, the selling price should be:
Cost of shoes: $22.29
Desired profit: +$18.50
Total selling price: $40.79
The store owner should set the selling price at $40.79 to make a profit of $18.50 on the pair of running shoes.
If a piece of ribbon is 5 and 1 over 2. feet long, how long is it in inches?
1 foot = 12 inches
5.5* 12 = 66 inches long
A public pool charges a membership fee of $50 and a fee for each visit. Every time you go to the pool, it costs $2.50.
a. Write an equation to represent your total cost c for v visits.
b. How much will it cost if you go to the pool 22 times? *PLEASE SHOW YOUR WORK*
Answer:
A. C=2.50v
B. C=2.50x22
C=55
Step-by-step explanation:
∠C
and
∠D
are vertical angles with
m∠C=−2x+90
and
m∠D=x−30
.
What is
m∠D
?
m∠C=m∠Dx=−3x+804x=80x=20
m∠C=x∘=20∘
How many times larger is the value of 260,00 than 260
Music store sells 22 blue MP3 players and 27 red MP3 players. Each MP3 player costs $41. What is a reasonable estimate for the total cost of the MP3 players? What is the exact answer for the total cost of the MP3 players?
To estimate the total cost, round the numbers and calculate, we get an estimate of $2000. The exact answer for the total cost is $2009.
Explanation:To estimate the total cost of the MP3 players, we can round the number of blue MP3 players down to 20 and the number of red MP3 players up to 30. So, estimating each at $40, we have a total of $40 x 20 + $40 x 30 = $800 + $1200 = $2000.
To find the exact answer for the total cost, we multiply the cost of each MP3 player ($41) by the number of blue and red MP3 players separately. So, the blue MP3 players cost $41 x 22 = $902, and the red MP3 players cost $41 x 27 = $1107. Adding these together gives a total of $902 + $1107 = $2009.
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