Mrs. Lee will need 9 cups of sugar to finish rest of the batches.
Mrs. Lee needs a total of 15 batches of cookies, she uses 1 ½ cups of sugar for each batch. Therefore, she will need:
15 x 1.5 = 22.5 cups of sugar in total
If she made ⅗ of the batches yesterday, then she made:
15 x ⅗ = 9 batches yesterday
So, she still needs to make:
15 - 9 = 6 batches
To find how many cups of sugar she will need for remaining 6 batches, we can use the same formula:
6 x 1.5 = 9 cups of sugar
Therefore, Mrs. Lee will need 9 cups of sugar to finish rest of batches.
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Does anyone know the answer for this?
Answer:
Cd is 20 cm
Step-by-step explanation:
Alisa uses her cell phone to search how many pounds of sand will is required to fill 1 cubic foot and finds out the answer is 100 pounds. Choose 1 of the brands and compute how much it will cost Alisa to purchase enough sand to fill the court. Sand b- 0.08$ per lb sand A- 0.08333 PLS HELP ME
This question is Incomplete
Complete Question
Alisa hopes to play beach volleyball in the Olympics someday. She has convinced her parents to allow her
to set up a beach volleyball court in their back yard. A standard beach volleyball court is approximately
26 feet by 52 feet. She figures that she will need the sand to be one foot deep. She goes to the hardware store to shop for sand and sees the following signs on pallets containing bags of sand.
Sand A = 60Ibs = $5
Sand B = 150lbs = $12
Alisa uses her cell phone to search how many pounds of sand is required to fill 1 cubic foot and finds the answer is 100 pounds. Choose one of the brands and compute how much it will cost Alisa to purchase enough sand to fill the court. Identify which brand was chosen as part of your answer.. Answer:
For Sand A should would need:
$11.266.67
Step-by-step explanation:
From the above question, we can assume that: her court is 1 cubic foot and can be filled with 100 pounds of sand
First we find the volume of the box
52ft × 26ft × 1 ft
= 1352 ft³
100Ib = 1 ft³
1352 ft³ × 100 Ib/ft³
= 135200Ibs
Sand A = 60Ibs = $5
Hence, $1 = 60Ibs/5
= 12Ibs
To purchase enough sand using Sand A to fill the court
= 135200Ibs/12lbs
= $11.266.67
Quadrilateral A B C D has vertices a (1,0) , b (5,0) c(7,2), and d (3,2). Use slope to prove that A B C Dis a parallelogram. Show all of your work.
Given the quadrilateral ABCD with vertices A (1,0) , B (5,0), C(7,2), and D (3,2).
Consider the drawing below
To prove that the quadrilateral is a parallelogram it is sufficient to prove that parallel.
Using slope property
The slope of parallel sides are equal
Finding the slope of side AB
Using the given points
\(\text{slope AB}=\frac{0-0}{5-1}=0\)Finding the slope of side CD
\(\text{Slope CD}=\frac{2-2}{7-3}=0\)Since the slope of side AB = Slope of side CD
Hence, sides AB and CD are parallel.
Using the same steps
\(\begin{gathered} \text{Slope AD}=\frac{2-0}{3-1}=\frac{2}{2}=1 \\ \text{Slope BC}=\frac{2-0}{7-5}=\frac{2}{2}=1 \end{gathered}\)Also
Since the slope of side BC = Slope of side AD
Hence, sides BC and AD are parallel.
Therefore, the quadrilateral is a parallelogram.
Find the quotient: –1019÷(−57)
Exact form: 1019/57 Decimal form: 17.87... Mixed number form: 17 50/57 Reduce the expression, if possible, by cancelling the common factors
When Nellie Newton hangs at rest in the middle of a clothesline, tensions will be the same in each side of the rope when:
a. the lengths of each rope are the same
b. the angles for both sides of the rope are equal
c. she is in equilibrium
The tensions in each side of the rope will be the same when Nellie Newton hangs at rest in the middle of a clothesline and the lengths of each rope are the same.
When Nellie Newton is in equilibrium, meaning she is at rest and not experiencing any acceleration or movement, the forces acting on her must be balanced. In the case of a clothesline, the tension in each side of the rope contributes to the balancing of forces.
For the tensions to be the same in each side of the rope, the lengths of the ropes must also be the same. This ensures that the forces applied to each side are equal and balanced, resulting in Nellie Newton remaining in a stable position without any net force acting on her.
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Which equation could be used to find the length of the hypotenuse?
А
С
5 cm
С
B
8 cm
Answer:
The first option (5^2 + 8^2 = c^2).
Step-by-step explanation:
According to the Pythagorean Theorem, a^2 + b^2 = c^2.
If a is 5 cm, and b is 8 cm, you would have the following equation...
5^2 + 8^2 = c^2.
That matches with the first option.
Hope this helps!
Given m||n, find the value of x.
+
(6x+5)
m
(7X-4)
Answer:
x = 9
Step-by-step explanation:
These are alternate exterior angles and alternate exterior angles are equal if m is parallel to n
6x+5 = 7x-4
Subtract 6x from each side
6x -6x+5 = 7x-6x-4
5 = x -4
Add 4to each side
5+4 =x-4+4
9 =x
Answer:
x = 9°
Step-by-step explanation:
The two angles are alternate exterior angles, so they both are congruent.
The equation is :
6x + 5 = 7x - 4
Add 4 to both sides
6x + 9 = 7x
Subtract 6x from both sides
9 = x
x = 9
Lets check:
6(9) + 5 = 7(9) - 4
54 + 5 = 63 - 4
59 = 59
Correct!
If my answer is incorrect, pls correct me!
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-Chetan K
1.) Consider the parametric equations below.
x = t2 − 2, y = t + 1, −3 ≤ t ≤ 3
(b) Eliminate the parameter to find a Cartesian equation of the curve.
for −2 ≤ y ≤ 4.
2.) Consider the following.
x = et − 8, y = e2t
(a) Eliminate the parameter to find a Cartesian equation of the curve.
3.) Consider the parametric equations below.
x = 1 + t, y = 5 − 4t, −2 ≤ t ≤ 3
(b) Eliminate the parameter to find a Cartesian equation of the curve.
for -1 ≤ x ≤ 4
The Cartesian equation of the curve is y = -4x + 9 for -1 ≤ x ≤ 4.
To eliminate the parameter t, we can isolate t in the equation x = t^2 - 2 and substitute it into the equation for y. This gives us:
y = t + 1
t = x + 2
y = x + 3
So the Cartesian equation of the curve is y = x + 3 for -2 ≤ y ≤ 4.
We can eliminate t by taking the natural logarithm of both x and y. This gives us:
ln x = t - 8
ln y = 2t
Solving for t in the first equation and substituting it into the second equation, we get:
t = ln(x) + 8
y = e^(2ln(x)+16) = x^2e^16
So the Cartesian equation of the curve is y = x^2e^16.
To eliminate t, we can again isolate it in the equation for x and substitute it into the equation for y. This gives us:
x = t + 1
t = x - 1
y = 5 - 4(x - 1) = -4x + 9
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The Cartesian equation of the curve is y = 1 - 4x, for -1 ≤ x ≤ 4.
To eliminate the parameter t, we can solve for t in terms of x and substitute it into the equation for y:
t = ±√(x + 2)
y = t + 1 = ±√(x + 2) + 1
Squaring both sides and simplifying, we get:
(x + 2) = (y - 1)²
So the Cartesian equation of the curve is:
x = (y - 1)² - 2, for -2 ≤ y ≤ 4.
To eliminate the parameter t, we can take the natural logarithm of both sides of the equation for y:
ln y = 2 ln e + t ln e = 2 ln e + ln x
ln y = ln (xe²)
y = xe²
So the Cartesian equation of the curve is:
y = x^2e^2.
To eliminate the parameter t, we can solve for t in terms of x and substitute it into the equation for y:
t = 1 + x
y = 5 - 4t = 1 - 4x
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y(x-(9-4y)) for x=4 and y=2
Answer:
6
Step-by-step explanation:
( 2 ) ( 4 - ( 9 - 4 ( 2 )))
2 ( 4- ( 9-8 ))
2 ( 4 - ( 1 ))
2 ( 3 )
6
Answer:
6Step-by-step explanation:
2(4-(9-4(2) )2 ( 4- (9-8)2(4 - 1)2(3)6Solve for x
12x = 22
=
Give your answer as an improper fraction in its
simplest form.
X =
Answer: 11/6 0r 1 5/6
Step-by-step explanation:
12x = 22
x = 22/12
x = 11/6 or 1 5/6
What would be the area of a piece of metal that is 50 cm wide by 7 cm long?
-Science
Answer:
50*7
Step-by-step explanation:
bcoz the formula is L*b
Write a paragraph that explains how the Sumerians were different from other people of their time.
Your paragraph must include a topic sentence, at least two support sentences, and a conclusion
sentence that restates but does not repeat the topic sentence.
The Sumerians were different from other people of their time as they wee more advanced.
Who were the Sumerians?The Sumerians were a southern Mesopotamian people whose civilisation flourished between approximately 4100 and 1750 BCE. Sumer was an ancient civilization that flourished in the Fertile Crescent region of Mesopotamia, between the Tigris and Euphrates rivers. Sumerians are regarded as the creators of civilisation as we know it today, according to their advancements in language, governance, building, and other fields.
They were able to take technologies produced elsewhere and use them on a far larger scale. This allowed them to mass-produce commodities such as textiles and pottery, which they could subsequently trade with others.
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Does anyone know how to solve this?
Answer:
$ 22.5
Step-by-step explanation:
B(x) = 30.50 - 0.20x
Notice that x defines the number of prints.
For prints = x = 40
B(40) = 30.50 - 0.20(40)
B(40) = 30.50 - 8
B(40) = 22.5
Remaining amount is $22.5
B(x) is defined as at starting you had $30.50 then you kept on spending with a period of 20 cents(= 0.20 dollar). So 30.50 kept on decreasing by 0.20. Each time you spend, you give 0.20.
That's why the function is 30.50 - 0.20x.
Where x is the nunber of times you spend(buying prints)
Find x, given
AD = BC = 6m.
The value of x in the trapezium is 60 degrees.
How to find the angle of a trapezium?A trapezium is a quadrilateral . The sum of angles in the trapezium is 360 degrees. The legs of the trapezium ABCD are congruent.
The length AB and CD are parallel to each other.
Let's find the angle x as follows:
Therefore, using trigonometric ratios,
cos x = adjacent / hypotenuse
Where
adjacent side = 3 m
hypotenuse side = 6 m
Hence,
cos x = 3 / 6
cos x = 1 / 2
x = cos ⁻¹ 0.5
x = 60 degrees
Therefore,
x = 60 degrees.
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Please HELP me on my ASSESSMENT practice its URGENT Find the ZEROS of each quadratic function by factoring
13.
\(x^2+x-20=(x+5)(x-4)\)Then, the zeros are x=-5 and x=4.
14.
\(x^2-4x-60=(x+6)(x-10)\)Then, the zeros are x=-6 and x=10.
15.
\(x^2-15x+50=(x-5)(x-10)\)Then the zeros are x=5 and x=10.
16.
\(x^2-x-72=(x+8)(x-7)\)Then the zeros are x=-8 and x=7.
17.
\(x^2+2x-48=(x+8)(x-6)\)Then the zeros are x=-8 and x=6.
18.
\(x^2-12x+36=(x-6)^2\)Then there is only one zero at x=6.
19.
\(x^2+32x+60=(x+30)(x+2)\)Then the zeros are x=-30 and x=-2.
20.
\(x^2-21x-100=(x+4)(x-25)\)Then the zeros are x=-4 and x=25.
suppose 70% of jurors come to a just decision. in a jury of ten people, what is the probability more than half come to a just decision? (4 points)
Answer: 0.8497
Step-by-step explanation:
I got it right on the test
Taisha is making birthday gift bags. she wants to put 1/2 pound of chocolate in each bag. she has 4 3/4 pounds of chocolate. how many gift bags could taisha make?
The number of gift bags that Taisha will make is 10.
How to calculate the value?Fractions represent parts of a whole or group of objects. A fraction is made up of two parts. The number at the top of the line is referred to as the numerator. The denominator is the number below the line. It displays the total number of equal parts into which the whole is divided or the total number of identical objects in a collection.
From the information given, Taisha wants to put 1/2 pound of chocolate in each bag and she has 4 \(\frac{3}{4}\) pounds of chocolate.
The number of bags that she needs will be calculated by dividing the fractions given. This will be:
= Total chocolate / Amount in each bag
= 4 \(\frac{3}{4}\) ÷ 1/2
= 19/4 ÷ 1/2
= 19/4 × 2
= 38/4
= 9 \(\frac{1}{2}\)
Therefore, she will need 10 bags.
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Calculate the slope using the slope formula for the set of points.
Answer:
7
Step-by-step explanation:
1. 9.1-7.6 over 6.8-(-3.7)
2. 10.5 over 1.5 or 7
2. 6x + 29 = 5 (1 point)
-4
-18
204
-144
Answer:
x = -4
Step-by-step explanation:
6x + 29 = 5
+29 -29
------------------------
6x = -24
÷6 ÷6
---------------
x = -4
6(-4) = -24 + 29 = 5
Solve for y:
2y-2=4y+2
Answer:
2y-4y=2+2.
-2y=4.
y= -2.
Answer:
y=−2
Step-by-step explanation:
Step 1: Subtract 4y from both sides.
−2y−2=2
Step 2: Add 2 to both sides.
−2y=4
Step 3: Divide both sides by -2
y=−2
3. HURRY ILL MARK BRAINLIEST!!!
A group of workers is harvesting berries at a constant rate. An equation that represents the number of
baskets of berries the workers picked over a period of time, in hours, is y = 5x + 10.
(c) What are the slope and the y-intercept for the equation that represents the number of baskets of berries the workers picked over a period of time?
(d) What are the rate of change and the initial amount? Explain the meaning of the rate of change and the initial amount for the situation.
(e) Use graph paper to draw a graph representing the situation. Label the axes appropriately.
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State whether the given measurements determine zero, one, or two triangles.
A = 61°, a = 23, b = 24
Answer:
One
Step-by-step explanation:
Find the value of B
Applying the law of sines
\(\frac{a}{sin(A)}\) = \(\frac{b}{sin(B)}\)
substitute the given values
\(\frac{23}{sin(61)}\) = \(\frac{24}{sin(B)}\)
sin (B) = \(\frac{24}{23}\)Sin(61)
step 2
Find the measure of angle C
Remember that the sum of the interior angles in any triangle must be equal to 180 degrees
so
61 + 65.87 + C = 180
C = 53.13
step 3
Find the value of c
Applying the law of sines
\(\frac{a}{sin(A)}\) = \(\frac{c}{sin(C)}\)
substitute the given values
\(\frac{23}{sin(61)}\) = \(\frac{c}{sin(53.13)}\)
c = \(\frac{23}{sin(61)}\)SIN (53.13)
C=21.04 units
so
there can only be one value for each measurement, therefore there can only be one triangle
Answer:
The answer is 2 triangles
Step-by-step explanation:
I took the test.
Which function represents the trend line?
x g(x)
4.7 1.9
2.1 2.4
3.1 1.6
4 2
4.9 2.7
6 3
5.6 3.8
8 4
8.8 4.9
10 4.7
g(x)=0.22x+0.9
g(x)=0.7x+0.8
Answer:
g(x)=0.42x+0.7
The equation is g(x) = 0.44x + 0.23.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
x g(x)
4.7 1.9
2.1 2.4
3.1 1.6
4 2
4.9 2.7
6 3
5.6 3.8
8 4
8.8 4.9
10 4.7
Forming the equation
y- 1.6 = 0.44 (x - 3.1)
y - 1.6 = 0.44x -1.364
y= 0.44x + 0.23
Hence, the equation is g(x) = 0.44x + 0.23.
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John is measuring a piece of glass to fit in a triangular frame. he can only remember two sides of the brain, which are 6 cm and 11cm. Between what two numbers must the third side of the frame fall?
Answer:
yup right :)
Step-by-step explanation:
Answer: Your Correct
Step-by-step explanation:
1. what is the probability that an f2 seed chosen at random will be yellow? blanktarget 1 of 4 2. what is the probablity that an f2 seed chosen at random from among the yellow seeds will breed true when selfed? blanktarget 2 of 4 3. what is the probability that three f2 seeds chosen at random will include at least one yellow seed? blanktarget 3 of 4 4. what is the probability that three f2 seeds chosen at random will include one green seed and two yellow seeds? blank
1. 3/4 or 0.75.2
2. 1/3 or 0.33.3
3. 7/8 or 0.875.4
4. 3/8 or 0.375
1. What is the probability that an F2 seed chosen at random will be yellow? The probability that an F2 seed chosen at random will be yellow is 3/4 or 0.75.2. What is the probability that an F2 seed chosen at random from among the yellow seeds will breed true when selfed?The probability that an F2 seed chosen at random from among the yellow seeds will breed true when selfed is 1/3 or 0.33.3. What is the probability that three F2 seeds chosen at random will include at least one yellow seed?The probability that three F2 seeds chosen at random will include at least one yellow seed is 7/8 or 0.875.4. What is the probability that three F2 seeds chosen at random will include one green seed and two yellow seeds?The probability that three F2 seeds chosen at random will include one green seed and two yellow seeds is 3/8 or 0.375.
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1/3x8+7
plese help me
whith this prolbm
What is the value of y when -5=y-7/9? A) -7 B) -11 C) -38 D) -52
Answer:
C) -38
Step-by-step explanation:
\(-5=y-7/9\\-5+7/9=y-7/9+7/9\\-38/9=y\)
I guess closest answer is C
The sum of two numbers is 90. Their difference is 18. Find
the numbers.
Answer:
36 & 54
Step-by-step explanation:
By Question :-
Sum of numbers = 90 .Difference of numbers = 18 .Let :-
First Number be x .Second number be y .According to 1st condition :-
\(: \implies\) x + y = 90
According to 2nd condition :-
\(: \implies\) x - y = 18
Adding the equations :-
\(: \implies\) 2x = 18 + 90
\(: \implies\) 2x = 108
\(: \implies\) x = 54
Therefore :-
\(: \implies\) First number = 54
\(: \implies\) Second number = 36
Answer:
6 x 15
Step-by-step explanation:
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Question Type the correct answer in each box. Write your answers in decimal form, rounded to the nearest tenth, if necessary. Type the solution with the smaller value in the first blank. (Hint: to complete your calculations, you may need to use mental math.) Select and use the most direct method to solve 2x(x + 1.5) = -1. x = or x =
Therefore, The two solutions are x₁ = -0.5 and x₂ = -1.0. The correct answers are x = -1.0 and x = -0.5.
To solve the equation 2x(x + 1.5) = -1, follow these steps:
1. Distribute the 2x: 2x^2 + 3x = -1.
2. Rearrange the equation to make it quadratic: 2x^2 + 3x + 1 = 0.
3. Apply the quadratic formula: x = (-b ± √(b^2 - 4ac)) / 2a, where a = 2, b = 3, and c = 1.
4. Calculate the discriminant: Δ = b^2 - 4ac = 3^2 - 4(2)(1) = 9 - 8 = 1.
5. Calculate the two solutions: x₁ = (-3 + √1) / 4 and x₂ = (-3 - √1) / 4.
Therefore, The two solutions are x₁ = -0.5 and x₂ = -1.0. The correct answers are x = -1.0 and x = -0.5.
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For the graph of the equation you wrote in item 3, what does the y-intercept represent?
Answer:
the y intercept represents the point on the y axis in which the line crosses on a graph.