Jodi used 7 scoops of hot chocolate mix to make 112 ounces of drink. How many scoops will it take her to make
160 ounces?
Answers
Answer:
112÷7= 16 ounces per scoop.
160 ounces divided by 16 is 10 scoops
Related Questions
If 2c + 1 = 11, what is the value of 2c?
4
5
10
12
Answers
Answer:
10
Step-by-step explanation:
ur welcome
Answer:
10
Step-by-step explanation:
I just took the quiz soooooo yuh hope this helps
The total of 8 and the product of x and 2
Answers
Answer:
8+2x
Step-by-step explanation:
plz only answer if you know :(
Answers
Answer:
x = 8.6 cm
Step-by-step explanation:
Reference angle = 35°
Opposite side length = x
Hypotenuse = 15 cm
Apply trigonometric ratio to find x
Thus:
\( sin(35) = \frac{x}{15} \)
Multiply both sides by 15
\( sin(35)*15 = x \)
8.60364654 = x
x = 8.6 cm (nearest tenth)
The Weaver family went to dinner and spent $52.75. They had great service so they tipped the server 22%. What was the Weaver's total bill?
Answers
To find the total amount that the Weaver family spent on their dinner, you need to add the tip to the original bill. To calculate the tip, you need to multiply the cost of the dinner by the percentage of the tip: $52.75 × 22% = $11.61.
Then, you can add the tip to the original bill to find the total cost of the dinner: $52.75 + $11.61 = $64.36.
Therefore, the Weaver family's total bill for their dinner was $64.36.
The ratio of cows to chickens on Jack's farm is 3:5. Choose ALL correct statements that describe this relationship.
Answers
The following steps were used to prove tan^2 theta - sin^2 theta=sin^4 theta sec^2 theta 1. FactorII. Simplify.III. Use a Pythagorean identity.IV. Use a quotient identity.V. Use a reciprocal identity.In which order were the steps performed?
Answers
Solution:
Given the trigonometric equation:
\(tan^2\theta -sin^2\theta =sin^4\theta \:sec^2\theta \)Where
\(\begin{gathered} tan^2\theta-sin^2\theta\Rightarrow Left\text{ hand side of the equation} \\ sin^4\theta\:sec^2\theta\Rightarrow Right\text{ hand side of the equation} \end{gathered}\)Starting from the left hand side of the equation,
\(\begin{equation*} tan^2\theta-sin^2\theta \end{equation*}\)step 1: Use a quotient identity.
\(\begin{gathered} tan\text{ }\theta=\frac{sin\theta}{cos\theta} \\ \Rightarrow tan^2\theta-sin^2\theta=\frac{sin^2\theta}{cos^2\theta}-sin^2\theta \end{gathered}\)Step 2: Simplify the expression on the left-hand side of the equation.
Thus,
\(\begin{gathered} \begin{equation*} \frac{sin^2\theta}{cos^2\theta}-sin^2\theta \end{equation*} \\ =\frac{sin^2\theta-cos^2\theta sin^2\theta}{cos^2\theta} \end{gathered}\)Step 3: Factor out the common term.
Thus,
\(\begin{gathered} \frac{s\imaginaryI n^{2}\theta- cos^{2}\theta s\imaginaryI n^{2}\theta}{cos^{2}\theta} \\ =\frac{sin^2\theta(1-cos^2\theta)}{cos^2\theta} \end{gathered}\)Step 4: Use a Pythagorean identity.
According to the Pythagorean identity,
\(\begin{gathered} \sin^2\theta+\cos^2\theta=1 \\ \Rightarrow sin^2\theta=1-cos^2\theta \end{gathered}\)thus,
\(\begin{gathered} \frac{s\imaginaryI n^{2}\theta- cos^{2}\theta s\imaginaryI n^{2}\theta}{cos^{2}\theta}=\frac{sin^2\theta(1-cos^2\theta)}{cos^2\theta} \\ \Rightarrow\frac{s\imaginaryI n^2\theta(sin^2\theta)}{cos^2\theta}(pythagoraen\text{ identities\rparen} \\ thus,\text{ we have} \\ \frac{sin^4\theta}{cos^2\theta} \end{gathered}\)Step 5: Use a reciprocal identity.
\(\begin{gathered} sec\text{ }\theta=\frac{1}{cos\text{ }\theta} \\ thus, \\ \frac{s\imaginaryI n^{4}\theta}{cos^{2}\theta}=sin^4\theta\times\frac{1}{cos^2\theta}=sin^4\theta\times sec^2\theta \\ \Rightarrow sin^4\theta sec^2\theta \end{gathered}\)Hence, the order in which the steps were performed are:
\(IV,II,I,III,V\)\(\( y=\int_{-2}^{x} \sqrt{3 t^{4}-1} d t \)\)
Answers
The value of intergal \(y=\int_{-2}^{x} \sqrt{3 t^{4}-1} d t\) is
\(y=\frac{1}{6} \sqrt{(3x^{2}-1)^{2}} - \frac{1}{6} \sqrt{(3(-2)^{2}-1)^{2}} \)\)
In mathematics, an integral is a mathematical object that can be interpreted as an area or a generalization of area. Integrals, together with derivatives, are the two main tools used in calculus and are used to calculate areas, volumes, and their generalizations.
The integral \(y=\int_{-2}^{x} \sqrt{3 t^{4}-1} d t\) can be evaluated by first completing the square and then using the substitution method.
Completing the square gives us \(( 3 t^{4} -1 = (3t^{2} -1)^{2} \)\).
We can now make the substitution \(( u = 3 t^{2} -1 \)\)).
Differentiating, we get \(( du = 6t dt \)\)).
Therefore, the integral can be written as\(y=\int_{-2}^{x} \sqrt{(3t^{2}-1)^{2}} \frac{du}{6t} \)\).
Solving the integral, we get:
\(y = \frac{1}{6} \sqrt{(3t^{2}-1)^{2}} +C \)\)
Substituting back into the equation, we get the answer as:
\(y=\frac{1}{6} \sqrt{(3x^{2}-1)^{2}} - \frac{1}{6} \sqrt{(3(-2)^{2}-1)^{2}} \)\)
To know more about integral click on below link:
https://brainly.com/question/18125359#
#SPJ11
PLS HELP ASAP. NO LINKS
When z= 9, the value of z2 + 1 is
Answers
substitute z for 9
9^2 = 81+ 1= 82
In ΔKLM, the measure of ∠M =90°, the measure of ∠K=,85°, and MK = 6.9 feet. Find the length of KL to the nearest tenth of a foot.
Answers
we can use the trigonometric identity of cosine, therefore
\(\begin{gathered} \cos 85=\frac{6.9}{KL} \\ KL=\frac{6.9}{\cos 85} \\ KL=79.2 \end{gathered}\)Answer: KL is 79.2 feet
3.1 to the nearest tenth
Answers
Answer:
3.1 to the nearest tenth is 3.1.
Step-by-step explanation:
The first decimal place is the tenths place. Hope this helps!
3.1 because 1 can't be raised to the next number
Find the surface area of the prism.
Answers
Answer:
if you mean the face of the triangle the area equal 40 by 5×8=
and the little triangle on the left his area is 6
if you want the full area of prymaid its 24+6+6+40+32=108 its all figure areas sorry i cant understand engilish very well so i write all that
10. Prime numbers from 1 to 100 are running a restaurant - PRIME SPOT, near a tourist point. On a winter holiday, 1 and the composite numbers up to 100 enter the restaurant for dinner after their picnic at the same point. The dining hall has tables with seating capacity 15 for each. If they occupy tables without leaving any chair free, how many tables are required? If each prime number attender has to serve equal number of customers, how many customers should each one get to serve?
Answers
6 tables are required. Each prime number attender should serve 3 customers each.
The prime numbers between 1 and 100 are: 2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97.
All the numbers other than prime numbers are composite numbers.
The composite numbers from 1 to 100 are: 1, 4, 6, 8, 9, 10, 12, 14, 15, 16, 18, 20, 21, 22, 24, 25, 26, 27, 28, 30, 32, 33, 34, 35, 36, 38, 39, 40, 42, 44, 45, 46, 48, 49, 50, 51, 52, 54, 55, 56, 57, 58, 60, 62, 63, 64, 65, 66, 68, 69, 70, 72, 74, 75, 76, 77, 78, 80, 81, 82, 84, 85, 86, 87, 88, 90, 91, 92, 93, 94, 95, 96, 98, 99, 100.
Now, as there are 25 primes and 75 composites in the group that visited the restaurant, we can calculate the number of tables required by dividing the number of people by the seating capacity of each table.
Each table has a seating capacity of 15, so the number of tables required will be: Number of tables = (Number of customers)/(Seating capacity of each table)Number of customers = 25 (the number of primes) + 75 (the number of composites) = 100Number of tables = 100/15 = 6 tables
Therefore, 6 tables are required.
Now, as each prime number attender has to serve an equal number of customers, we need to calculate how many customers each one should serve.
Each prime attender has to serve 75/25 = 3 customers each, as there are 75 composites and 25 primes.
Thus, each prime number attender should serve 3 customers each.
For more questions on prime number
https://brainly.com/question/145452
#SPJ8
Find the area of the shape
Answers
Hello!
area
= 2*25 + (20 - 2)*(25-8)
= 50cm² + 306cm²
= 356cm²
What is the volume of the shape below
Answers
The volume of the given figure is 1176 cubic cm.
The value of the figure is calculated by multiplying all three side areas. Volume is a measure of the amount of space that an object or a substance occupies. It is typically expressed in cubic units such as cubic meters (m³), cubic centimetres (cm³), or cubic feet (ft³).
The volume of the figure is calculated as,
Volume = 2 ( 15 x 6 + 20 x 6 + 20 x 18 )
Volume = 1176 Cubic cm
Hence, the volume of the figure will be equal to 1176 Cubic cm.
To know more about volume follow
https://brainly.com/question/29568631
#SPJ1
Please do fast doesn't have to be long explanation
Answers
1. The Mean and Standard Deviation should be used by the restaurant manager to measure the volume of soap served in each cup per day.
2. To determine the most popular car type, the Highway officer should use the Mode.
3. To compute the yearly salary of all employees in a company, the researcher should use the Median and Quartiles.
4. The actuary should use the Mean and Standard Deviation to record the reported age at death of residents in the state.
5. To determine the most common gas price, the researcher should use Mode.
What is the mean?The mean is the average of a data set.
Standard deviations are squared variations from the mean.
What is the mode?The mode is the value with the most often common occurrence in a data set.
What are median and quartiles?The median is a division of a data set into a lower half and an upper half.
Quartiles represent middle values or the median.
The lower and upper quartiles are the middle values of the lower half and the upper half, respectively.
Learn more about the measures of central tendencies at https://brainly.com/question/28180169
#SPJ1
Over a period of one year, a retailer sells widgets at 11
different prices. He Calculates the average number of oiunds sold per day at each different price. From theese data, the following are calculated.
Answers
The regression equation is: y = -0.0068824x + 36.8881
So, the correct option is:
D) None of these.
To compute the regression equation based on the given data, we can use the formulas for slope (b1) and y-intercept (bo):
b1 = (NΣXY - ΣXΣY) / \((N\sum X^2 - (\sum X)^2)\)
bo = (ΣY - b1ΣX) / N
Where:
N = Number of data points (in this case, 11)
ΣX = Sum of all X values (prices)
ΣY = Sum of all Y values (average number of pounds sold per day)
ΣXY = Sum of the product of X and Y values
\(\sum X^2\) = Sum of the squares of X values
Using the provided data:
Ex = 210
Xy = 450
Zcy = 10387
Zz = 7275
Xy = 42471
Let's calculate the required values:
N = 11
ΣX = Ex + Zcy + Zz = 210 + 10387 + 7275 = 17872
ΣY = Xy = 450
ΣXY = Xy = 450
\(\sum X^2 = (Ex)^2 + (Zcy)^2 + (Zz)^2 = (210)^2 + (10387)^2 + (7275)^2 = 239208144\)
Now, substitute these values into the formulas to find b1 and bo:
\(b1 = (11 \times450 - 17872 \times 450) / (11 \times239208144 - (17872)^2)\)
= -14112250 / 2050445128
≈ -0.0068824
bo = (450 - (-0.0068824 \(\times\) 17872)) / 11
= (450 + 122.7790368) / 11
≈ 36.8881
Therefore, the regression equation is:
y = -0.0068824x + 36.8881
So, the correct option is:
D) None of these.
For similar question on regression equation.
https://brainly.com/question/25987747
#SPJ8
The complete question may be like:
Over a period of one year, retailer sells widgets at 11 different prices. He Calculates the average number of oiunds sold per day at each different price. From theese data, the following are calculated. Ex = 210, Xy = 450, Zcy = 10387, Zz? 7275 Xy? 42471 Compute the regression equation , SELEC A) y 0.20261x + 0.549951 B) y = 0.549951x + 30.410021 C) y = 0.20261. + 30.410021 D) none of these =b1x + bo.
Find the surface area of the pyramid.
A drawing of a square pyramid. The length of the base is 4.5 meters. The height of each triangular face is 6 meters.
Answers
The surface area of the pyramid is 74.25 square meters.
What is surface area?Surface area is the total area that the surface of an object occupies. It is the sum of the areas of all the faces, sides, and curved surfaces of an object. Surface area is usually measured in square units, such as square meters, square feet, or square centimeters.
What is pyramid?A pyramid is a polyhedron with a polygonal base and triangular faces that meet at a common vertex (known as the apex). Pyramids are named according to the shape of their base.
In the given question,
The area of the base is simply the area of a square, which is:
Area of base = length x width = 4.5m x 4.5m = 20.25 square meters
To find the area of each triangular face, we first need to find the length of the slant height (the height of the triangle).
We can use the Pythagorean theorem to do this:
h²= (1/2 x base)² + height²
h² = (1/2 x 4.5)² + 6²
h² = 2.25 + 36
h² = 38.25
h = √38.25
h = 6.18 meters (rounded to two decimal places)
Now that we know the slant height, we can find the area of each triangular face:
Area of one triangular face = (1/2 x base x height) = (1/2 x 4.5 x 6) = 13.5 square meters
Since there are four triangular faces on a square pyramid, we need to multiply this by 4 to find the total area of the triangular faces:
Total area of triangular faces = 4 x 13.5 = 54 square meters
Finally, we can find the surface area of the pyramid by adding the area of the base and the area of the triangular faces:
Surface area = Area of base + Total area of triangular faces
Surface area = 20.25 + 54
Surface area = 74.25 square meters
Therefore, the surface area of the pyramid is 74.25 square meters.
To know more about Surface area, visit:
https://brainly.com/question/29298005
#SPJ1
Solve (x+1)2 =13/4 using the square root property
Answers
Answer:
Starting with the equation:
(x + 1)^2 = 13/4
We can use the square root property, which states that if a^2 = b, then a is equal to the positive or negative square root of b.
Taking the square root of both sides, we get:
x + 1 = ±√(13/4)
Simplifying under the radical:
x + 1 = ±(√13)/2
Now we can solve for x by subtracting 1 from both sides:
x = -1 ± (√13)/2
Therefore, the solutions to the equation are:
x = -1 + (√13)/2 or x = -1 - (√13)/2
Step-by-step explanation:
Find the exact surface area of a sphere with a diameter of 13cm
Answers
Answer:
A = 530.929158457
Answer:
Area = 706.8583471
Explanation:
The used law to measure the surface area of the sphere is
\(area \: = 4\pi \: {r}^{2} \)
Where (r) is the radius. The radius is half the diameter, so it will be half 13 which is equal to 7.5. By using this law:
\(4\pi \: {7.5}^{2} = 706.8583471\)
If you like my explanation please give me 5 stars.2 feet to 2 yards ratio
Answers
Answer:
\(\frac{1}{3}\)
Step-by-step explanation:
Three feet make a yard, so 2 yards is 6 feet
\(\frac{2}{6}\) If we divide the top (numerator) and the bottom (denominator) by 2 we get
\(\frac{2}{6}\) ÷ \(\frac{2}{2}\) = \(\frac{1}{3}\)
Find each value given the following function:
Answers
Answer:
Step-by-step explanation:
1) f(-4) --> if x < or equal to 3
2) 1/(-4)-4
3) The answer is - 1/8
You move up 5 units and down 3 units. You end at (2, 0). Where did you start?
Answers
Answer:
(0,0)
Step-by-step explanation:
Do the opposite. (2-5+3,0) is (0,0)
Answer please due in 15 minutes!!!!!!!!!
Answers
Answer:
option A
Step-by-step explanation:
here's your solution
=> 6x - 7y = 28
=> - 7y = 28 - 6x
=> - y = 28/7- 6x/7
=> -y = 4 - 6x/7
=> y = 6x/7 - 4
hope it helps
11) In a triangle, the ratio of the measures of three angles is 2:5:8. Find the measures of
each angle in the triangle. Show proportions.
Answers
Answer:
Sum of interior angles of a triangle always = 180 degrees
add the individual ratios to get a sum composite ratio:
2+5+8 = 15
180 / 15 = 12
Multiply individual ratios:
{2:5:8} * 12 = 24:60:96
Check:
24 + 60 + 96 = 180
Step-by-step explanation:
I hope it's help
You want to buy a car. The loan amount will be $18,000. The company is offering a 5% interest rate for 48 months (4 years). What will your monthly payments be?
Answers
Answer:
393.5$
Step-by-step explanation:
$18,000 -- car price
Total sum (105%) = \(\frac{18000}{100}\)* 105%
Hence
\(\frac{18000/100*105}{48}\) = 393.5$
y=-0.024x^2+0.0791x+4.873
Answers
The equation y = \(-0.024x^2\) + 0.0791x + 4.873 represents a quadratic function with a downward-opening parabol
The given expression is a quadratic equation in the form y = -0.024x^2 + 0.0791x + 4.873. Let's analyze its components and characteristics.
The equation represents a quadratic function, where x is the independent variable and y is the dependent variable. The coefficients in front of each term determine the shape, position, and direction of the graph.
The term with the highest power of x is -0.024x^2, which indicates a downward-opening parabola. The coefficient -0.024 determines the steepness of the curve. A negative coefficient means the parabola is concave down.
The term 0.0791x is the linear term and determines the slope of the line. A positive coefficient indicates an upward or positive slope. It affects the overall direction and position of the graph.
The constant term 4.873 is the y-intercept. It indicates the point at which the graph intersects the y-axis when x = 0.
To analyze the graph of the quadratic equation further, we can calculate the vertex. The x-coordinate of the vertex can be found using the formula x = -b/(2a), where a and b are the coefficients of x^2 and x, respectively. In this case, a = -0.024 and b = 0.0791. Substituting these values into the formula, we have x = -0.0791 / (2 * -0.024) ≈ 1.643. By substituting this x-coordinate into the equation, we can find the y-coordinate of the vertex.
Overall, the equation y =\(-0.024x^2 + 0.0791x\) + 4.873 represents a quadratic function with a downward-opening parabola. The specific properties, such as the vertex and other key points, can be determined by further calculations and analysis of the equation.
for more such question on quadratic visit
https://brainly.com/question/1214333
#SPJ8
Laura brought a new set of headphones for $4.45 and a video game for 9.55. if she paid with a $20 bill, how much change did she get from her purchase?
Answers
Answer:
first we should add both purchase price
$4.45 + $9.55 = $14
so that
$20 - $14
=$6
I tried solving this but I accidentally tried figuring out what it would be if it was decreased by 15% instead of increased so now I confused myself an I need help.
Answers
Answer:
120 magazines
Step-by-step explanation:
1.15x = 138
x = 120 magazines before increase
Check:
before increase + increase = sold
120 + 120(.15) = 138
120 + 18 = 138
138 = 138
10. A road roller takes 750 revolutions to move once to
level a playground. Find the area of the ground if the
diameter of the road roller is 168 cm and length is 2.8
m.
Answers
Answer:
Step-by-step explanation:
Use consistent units. The length of the roller is 2.8 m. The diameter is 168 cm = 1.68 m
Circumference of roller = 1.68π m
Contact area of roller = 1.68π × 2.8 = 4.704π m²
Each rotation levels 4.704π m² of the playground.
Area of playground = 750 rotations × (4.704π m²)/rotation
= 3528π m²
≈ 11,084 m²
Rounded to the nearest tenth, what is the perimeter of rectangle ABCD?
Answers
Answer:
B
Step-by-step explanation:
trust me
The Perimeter of rectangle ABCD is 54.6 cm
What is perimeter of rectangle?The perimeter of a form is the space surrounding its edge. Find the perimeter of various forms by summing the lengths of their sides.
Perimeter of the rectangle = 2(length+width)
Given the paramters are;
length 'CD' = 20×cos(30)
L = 17.3205
width 'AD' = 20×cos(60)
W = 10
Perimeter of the rectangle = 2(length+width)
Perimeter = 2(17.3205+10)
= 2(27.3205)
= 54.641
= 54.6 cm
To know more about perimeter of rectangle refer to :
brainly.com/question/10452031
#SPJ2