x = amount at 15%
90-x = amount of 55%
0.15x + 0.55(90-x) = 0.47(90)
0.15x +49.5 - 0.55x = 42.3
49.5 - 0.40x = 42.3
-0.40x = -7.2
x = -7.2 / -0.4 = 18 kg of 15% copper
90-18 = 72 kg of 55% copper
Find the solution of the given initial value problem y'+2/ty=cost/t^2
In ΔABC, BC = 4 centimeters, m∠B = m∠C, and m∠A = 20°. What is AC to two decimal places?
A.9.32 centimeters
B.10.01 centimeters
C.11.52 centimeters
D.12.09 centimeters
Answer:
C.11.52 centimeters
Step-by-step explanation:
Given,
In triangle ABC,
BC = 4 centimeters, m∠B = m∠C, and m∠A = 20°.
Since, the sum of all interior angles of a triangle is supplementary,
⇒ m∠A + m∠B + m∠C = 180°
⇒ 20° + m∠B + m∠B= 180°
⇒ 2 m∠B = 160°
⇒ m∠B = 80°,
Now, By the law of sines,
[tex]\frac{sin A}{BC}=\frac{sin B}{AC}[/tex]
By cross multiplication,
[tex]sin A\times AC = sin B\times BC[/tex]
[tex]\implies AC = \frac{sin B\times BC}{sin A}[/tex]
By substituting values,
[tex]AC=\frac{sin 80^{\circ}\times 4}{sin 20^{\circ}}=\frac{3.93923101205
}{0.34202014332
}=11.5175409663
\approx 11.52\text{ in}[/tex]
The formula for glue says to add 50ML
of hardener to each container of resin. How much hardener should be added to 15 containers of resin?
Final answer:
To find out the total hardener needed for 15 containers of resin, multiply 15 by the amount per container, 50ML, which equals 750ML of hardener in total.
Explanation:
To calculate the total amount of hardener needed for 15 containers of resin, we use a simple multiplication. We have been given that each container requires 50ML of hardener. Therefore, we multiply the number of containers by the amount of hardener needed per container.
Calculation:
Number of containers × Amount of hardener per container = Total amount of hardener
15 containers × 50ML/container = 750ML
Thus, for 15 containers of resin, you would need to add a total of 750ML of hardener.
Hannah charges an hourly babysitting fee of $6 for two children, $7 for three children, and $8 for four or five children.
Which is true about the table when c = the number of children and f = the fee per hour?
c 1 2 3 4 5
f 6 6 7 8 8
The relationship is not linear between c and f.
The relationship is linear between c and f.
The relationship is not linear for c and linear for f.
The relationship is linear for c but not f.
In the last two years, Mari grew 2 1/4 inches, Kim grew 2.4 inches, and Kate grew 2 1/8 inches. Write the amounts they grew in order from least to greatest
Answer:
[tex]\text{Growth in Kate}<\text{Growth in Mari}<\text{Growth in Kim}[/tex]
Step-by-step explanation:
We are given the following information in the question:
Growth in Mari =
[tex]2\displaystyle\frac{1}{4}\text{ inches} = \frac{2\times 4 + 1}{4} = \frac{9}{4} = 2.25\text{ inches}[/tex]
Growth in Kim =
2.4 inches
Growth in Kate =
[tex]2\displaystyle\frac{1}{8}\text{ inches}= \frac{2\times 8 + 1}{8} = \frac{17}{8} = 2.125\text{ inches}[/tex]
Growth in order from least to greatest:
[tex]2.125<2.25<2.4\\\text{Growth in Kate}<\text{Growth in Mari}<\text{Growth in Kim}[/tex]
Which unit would you use to measure the amount of water in a swimming pool mL, kg, L or cm
92 divided by 4 use partial and quotients to divide
Rick works off commission. He earns 10 percent of all manufacturing equipment he sells. If he made a sale of $9,000, how much was his commission?
commission would be 9000 * 0.10 = 900
he would make $900
Evaluate the expression. [6(22 + 4)2 − 2(19 + 3)2]0
Answer:
the anwser is 1 so B)Step-by-step explanation:i just gottt it right on usa test prep
List all the factor pairs in the table factors of 25
10 lb____64 oz (equal to, greater than, less than)
A shirt company has 3 designs that can be made with short or long sleeves. there are 6 color patterns available. how many different types of shirts are available from this company?
Answer: 36 Types
Step-by-step explanation:
3 designs and 6 color options so that would be
3 x 6 = 18
they also have the option of either long or short sleeve so that would be
18 x 2 = 36
You buy a pair of jeans at a department store.
What is the percent of sales tax to the nearest tenth of a percent?
The price of the jeans includes a 60% markup. After the discount, what is the percent of markup to the nearest percent?
The price of the jeans before the discount is $24.99. The sales tax rate is 6.5%. The percent of markup after the discount is 27.7%.
The price of the jeans before the discount can be found by dividing the total cost by the markup percentage plus 100% and then multiplying by 100%.
So, the price of the jeans before the discount is (39.99 / 160) * 100 = 24.994375.
Next, to find the sales tax, multiply the subtotal by the sales tax rate.
The sales tax rate can be found by dividing the sales tax amount by the subtotal and then multiplying by 100%.
So, the sales tax rate is (1.95 / 29.99) * 100 = 6.502167.
To find the percent of markup after the discount, divide the difference between the total cost and the price before the discount by the price before the discount and then multiply by 100%.
So, the percent of markup after the discount is ((31.94 - 24.994375) / 24.994375) * 100 = 27.67322.
The probable question may be:
You buy a pair of jeans at a department store.
What is the percent of sales tax to the nearest tenth of a percent?
The price of the jeans includes a 60% markup. After the discount, what is the percent of markup to the nearest percent?
Department store
Jeans =39.99
Discount =-10.00
Subtotal =29.99
Sales tax=1.95
Total = 31.94
What is expanded form for 50,631
Which represents the first three terms of the sequence: a1 = 2 and an = 4(an-1)2? 2, 16, 1024
4, 16, 1024
2, 16, 32
4, 16, 32
Ali's dog weighs 8 times as much as her cat. Together, the two pets weigh 54 pounds. How much does Ali's dog weigh?
Ali's dog weighs 48 pounds.
We have,
Let's assume the weight of Ali's cat is represented by the variable "x".
According to the given information,
Ali's dog weighs 8 times as much as her cat.
Therefore, the weight of Ali's dog can be expressed as 8x.
We are also given that together the two pets weigh 54 pounds.
So we can set up an equation:
x + 8x = 54
Combining like terms:
9x = 54
To find the value of x, we divide both sides of the equation by 9:
9x/9 = 54/9
Simplifying:
x = 6
Therefore, Ali's cat weighs 6 pounds.
To find the weight of Ali's dog, we can substitute the value of x back into the expression for the weight of the dog:
Weight of the dog = 8x = 8 * 6 = 48 pounds
Thus,
Ali's dog weighs 48 pounds.
Learn more about expressions here:
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Brainleiest What is the unit rate for 692.08 ft in 21.1 s? Enter your answer, as a decimal, in the box. ft/s
Answer:
Unit rate is [tex]32.9561[/tex] feet per second.
Step-by-step explanation:
Unit rate is a number where one quantity is represented so that the other quantity is 1.
So we can give the unit rate of this as number of feet per 1 second.
It has traveled 692.08 ft in 21.1 seconds.
We have to find how many feet it travels in 1 second.
Unit rate = Number of feet / Number of seconds
=[tex]\frac{692.08feet}{21.1seconds}[/tex]
=[tex]32.9561[/tex] feet per second
Answer: 32.8
Step-by-step explanation: ( I'd use my answer if I was you) :)
James and his friends both started a part-time job at the swimming hole earning $8 per hour . James worked 10/1-2 hours his first week James agreed to pay his friend 1/10 of his salary for reimbursement of gas. How many money did James pay his friend for gas
Given
James and his friend earn $8 per hour.
James works 10/1-2 hours his first week.
And James agreed to pay his friend 1/10 of his salary
10.5*8=84 1/10 or 10% of $84=$8.40.
How do you change annual earnings to hours?
primarily based on this, the common salaried individual works 2,080 (forty x fifty-two) hours every 12 months. To decide your hourly salary, divide your annual revenue by 2,080. in case you make $75,000 a year, your hourly wage is $ seventy-five,000/2080, or $36.06. if you work 37.5 hours a week, divide your annual earnings by way of 1,950 (37. five x fifty-two).
How can I calculate my salary?To calculate annual earnings, begin by using figuring out how many hours you figure in every week. in case you paint different hours every week, use the common number of hours you work. subsequent, multiply your hourly revenue with the aid of the range of hours you work per week. eventually, multiply that wide variety via 52 to find your annual earnings.
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Where e is the region that lies inside the cylinder x2 + y2 = 16 and between the planes z = −4 and z = 1?
Final answer:
The region e refers to the inside of a cylinder defined by x² + y² = 16 and between the planes z = -4 and z = 1. It represents a three-dimensional space bounded both radially, by the cylinder, and vertically, by the planes.
Explanation:
The region described in the question is a cylindrical volume in three-dimensional space. To visualize this region, we remember that the cylinder is defined by the equation x2 + y2 = 16, which is the set of points in the xy-plane that are at a distance of 4 from the origin (since the radius is √16 = 4). This cylinder extends indefinitely in the positive and negative z-directions.
The planes z = -4 and z = 1 act as boundaries in the z-direction, trimming the cylinder down so that we're only considering the portion of the cylinder between these two planes. Thus the region e of interest is the set of points inside the cylinder that lie at a height between z = -4 and z = 1.
This type of region is common in problems involving volume calculations, especially when using integral calculus to determine the volume of the shape or when analyzing physical phenomena like fluid flow or electric fields within prescribed bounds.
Lorenzo bought 15 / 16 pounds of ground beef.He wants to make hamburgers that weigh 3 / 16 pounds each.How many hamburgers can he make?
FIrst of all, i recommends you to do a model. Of 15/16 and 3/16 then compare them and take away the same denominators. What would you get? 15 and 3 so you would divide both of them And you will get 5 as your answer, remember to do an explanation on how you got it. :)
A science fair poster is a rectangle
3
feet long and
2
feet wide. What is the area of the poster in square inches?
solve the system by graphing or using a table 3x+y=5 x-y=7
a person leaves their house to go to the store. it takes 15 minutes at 12 mph to get to the store. They return home at 31 mph. What is the average rate of the speed for the entire trip?
Solve this expression 5(4x-13).
A golf-course architect has six linden trees, four white birch trees, and three bald cypress trees to plant in a row along a fairway. in how many ways can the landscaper plant the trees in a row, assuming that the trees are evenly spaced? the trees can be planted in nothing different ways.
Answer:
the trees can be planted 4200 ways
Step-by-step explanation:
The landscaper can plant the trees in a row in 864 different ways.
Explanation:To find the number of ways the landscaper can plant the trees, we can use the concept of permutations. Since the trees are evenly spaced, the order in which they are planted matters. We have a total of 6+linden+trees, 4 white birch trees, and 3 bald cypress trees. To calculate the number of ways to arrange them in a row, we can multiply the number of available options at each position. So, the number of ways to plant the trees in a row is 6! * 4! * 3! = 864. Therefore, there are 864 different ways the landscaper can plant the trees in a row.
factor the polynomial completely using x method x2+16x+48
Answer:
Its C. x2 + 12x + 4x + 48
on edg
Why will the percent of change always be represented by a positive number
what is 5/6 - (2/3) = ?
A bag contains 20 red tickets and 12 blue tickets. What is the probability of randomly selecting a blue ticket from the bag? A. 4/5 B. 3/11 C. 3/8 D. 1/2
How many triangles exist with 80 degrees, 50 degrees, and 50 degrees?