PLEASE HELP ASAP 80 POINTS!!!!
Theresa volunteers at a food sheif. when she started, there were 213 oranges. After filling X bags of three oranges each, there were fewer than 51 oranges left. How many bags of oranges did Theresa fill?
Write an expression in terms of X for the number of oranges that Theresa bagged.
Part B: Write an expression in terms of X for the number of oranges that are left (have yet to be bagged).
Part C: Write an inequality using the expression from Part B to represent this scenario.
Part D: Solve the inequality for the variable X. Use opposite operations on both sides of the inequality until you get X on one side of the inequality by itself.
Part E: Did you have to flip the inequality sign? Explain why or why not.
Part F: What does the result from Part D tell you about Theresa's situation? Does the answer make sense? Explain.
Part G: Think about graphing the inequality you found in Part D on a number line. What would it look like?
Choose the correct number:
1. open circle on 54 and arrow pointing right
2. open circle on 54 and arrow pointing left
3. closed circle on 54 in arrow pointing right
4. closed circle on 54 and arrow pointing left
Answer:
A- The expression 3x represents the number of oranges that she bagged
B- 213 − 3x (or -3x + 213)
C- 213 − 3x < 51 (or -3x + 213 < 51)
D- x >54
E-Yes, I had to flip the inequality sign because I divided both sides of the inequality by a negative number (-3).
F- x > 54 means Theresa filled more than 54 bags of oranges. It makes sense because if Theresa made more than 54 bags of 3 oranges each, there would be fewer than 51 oranges left over.
G- Number 1 is correct.
Step-by-step explanation:
I did it./ Hope it helped : )
Answer:
everyone mark Praezhan brainleist thank you Praezhan so much
Step-by-step explanation:
I need help badly and don't send no links or you will be reported
Answer:
-6,2
Step-by-step explanation:
I NEED HELPP Solve for PMR please
The angle PMR in the quadrilateral is 32 degrees.
How to find the angle PMR?The angle PMR can be found as follows;
The line AP is an angle bisector of angle RPM. Therefore, the following relationships are formed.
∠RPM ≅ ∠WPM
Hence,
∠RPM ≅ ∠WPM = 58 degrees
Therefore,
∠WPM = 58 degrees
∠PWM = 90 degrees
Let's find ∠PMR as follows
∠PMR = 180 - 90 - 58
∠PMR = 90 - 58
∠PMR = 32 degrees
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what is the product in simplest form? -8/9 times 5/6 All the ANSWERS:
-1
-13/15
-20/27
-1/5
Students were asked to
name a place you might be
told to be quiet.
Home
8
Church
11
Classroom
25
Movie
Theater
9
Library
33
What percent of
votes chose
home?
Round to the
nearest percent.
Me
Enter
USE A
9.30232558% | 2 d.p (9.3%)
First add all of the votes together.
= 86
Put 86 as a denominator and place 8 (amount of votes for home) as a numerator.
We have \(\frac{8}{86}\)
Simplify this into:
\(\frac{4}{43}\)
Now convert this into a percentage by doing
4 ÷ 43
x 100
= 9.3
HELP ME PLEASE!!!!!!!!!!!!
1) The three main trigonometric ratios of the given triangle are:
sin B = 5/9.43
cos B = 8/9.43
tan B = 5/8
2) The measure of angle A is: ∠A = 39.6°
3) The length of side x is: x = 39.5 mm
How to find the trigonometric ratios?The six trigonometric ratios of a right angle triangle are:
sin x = opposite/hypotenuse
cos x = adjacent/hypotenuse
tan x = opposite/adjacent
cot x = 1/tan x
sec x = 1/cos x
cosec x = 1/sin x
1) The three main trigonometric ratios of the given triangle are:
sin B = 5/9.43
cos B = 8/9.43
tan B = 5/8
2) The measure of angle A is gotten from:
∠A = cos⁻¹ (47/61)
∠A = 39.6°
3) The length of side x using trigonometric ratios is:
21/x = tan 28
x = 21/tan 28
x = 39.5 mm
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9. Given the system of equations:
y = 2x +8
3(-2x + y) =12
If any, what are the point(s) of
intersection is
Answer:
answer is
24=12
solution
3(-2x+2x+8)=12
3(8)=12
24=12
2is a answer
What is four fifths divided by two thirds?
Answer:6/5 or 1.2
Step-by-step explanation:
4/5 divided by 2/3
=4/5 *3/2
=12/10
=6/5
=1.2
bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb
Answer: your wasting my time
Step-by-step explanation: stop wasting peoples time thank you
What is the slope formula?
Answer:
(y2-y1)/(x2-x1)
Step-by-step explanation:
The slope is the change in y over the change in x
(y2-y1)/(x2-x1)
where ( x1,y1) and (x2,y2) are two points on the line
Answer:
O A. \(\frac{y2-y1}{x2-x1}\)
Step-by-step explanation:
This is just about how the Slope-Formula works
ok so you get two points off a graph then you use it to plot it in the Slope-Formula like this
for example imma go with (-2, 5) and (3, 7)
I need to subtract 7 - 5 / 3 - -2. so...
m = slope
m = \(\frac{y2-y1}{x2-x1}\)
m = \(\frac{7-5}{3--2}\) Only add the denominators when there's 2 - signs together
m = \(\frac{2}{5}\)
A manufacturer cuts a piece of metal for a microscope. The resulting piece of metal can be
represented in a coordinate plane by a triangle with vertices A (8,8), B(5, 3), and C(11,3)
. One unit in the coordinate plane represents one millimeter.
Prove that AABC is isosceles.
Find the exact length of each side.
AB =
BC =
AC =
We can actually see here that the triangle ABC is an isosceles triangle. This is because two sides of the triangle are equal.
What is an isosceles triangle?An isosceles triangle is actually a geometric shape having three sides, two of which are equal in length. Consequently, two of the angles that are across from those sides are also equal.
In order to prove that the triangle is an isosceles triangle, we will find the following:
Distance between vertices A and B:
AB = √((8-5)² + (8-3)²) = √(3² + 5²) = √34 = 5.83mm
Then, we also find the distance between vertices B and C:
BC = √((11-5)² + (3-3)²) = 6mm
Finally, we find the distance between vertices A and C:
AC = √((11-8)² + (3-8)²) = √(3² + 5²) = √34 = 5.83mm
Thus, we see here that AB and AC are actually equal which makes the triangle an isosceles.
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10( x + 600 ) = 12 ( 0.75x + 800)
You should apply the distributive apply
10( x + 600 ) = 12 ( 0.75x + 800)
10x+6000=9x+9600
10x-9x=9600-6000
x=3600
Function f has a domain of _____
range of _____
the function approaches ________( y= 0, positive infinity, or negative infinity)
The domain and the range of the function are given as follows:
Domain: All real values.Range: y > 0.The function approaches y = 0 as x approaches positive infinity.
What are the domain and range of a function?The domain of a function is the set that contains all possible input values of the function, that is, all the values assumed by the independent variable x in the function.The range of a function is the set that contains all possible output values of the function, that is, all the values assumed by the dependent variable y in the function.More can be learned about the domain and the range of a function at https://brainly.com/question/2264373
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(2x+6yx)-(12ay+-6y) pls helpp pls
The required, simplified expression is 2x - 6y(2a - x) + 6y.
To simplify the expression (2x+6yx)-(12ay+-6y), we need to distribute the negative sign to the second term.
2x - 6y(2a - x) + 6y.
Now we can combine like terms, which means adding up any terms that have the same variables raised to the same powers. In this case, we have two terms with "x" and two terms with "y". Combining them, we get:
2x+6yx-12ay+6y = 2x - 12ay + 6yx + 6y
= 2x - 6y(2a - x) + 6y
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i need help
ertyuiop[-poiuytrtyuiop-[=poiuytyuio0p[poi uytrtyhujio iuytretyui oiuytrert yuiuytr
Answer:
ertyuiop[-poiuytrtyuiop-[=poiuytyuio0p[poi uytrtyhujio iuytretyui oiuytrert yuiuytr = 42
Step-by-step explanation:
Answer:
go back to 1st grade
Please help 10 points need help ASAP
Answer:
x = 36 degrees
Step-by-step explanation:
The sum of a triangle's interior angles is 180 degrees.
We know that 2 of the angles measure 90 degrees (right angle) and 54 degrees. Add those together and you get 144. Now all you have to do is subtract 144 from 180 to get
36 degrees.
180 - 90 - 54 = x
Answer:
36
Step-by-step explanation:
The conner shows a thin square. That means it is a 90-degree angle. You know that x is going to be smaller than the 54- degree angle and 90-degree angle. So the angle x will be a smaller number. You would need to subtract 90 from 54. Therefore the answer is 36.
Jane decides that he is spending too much money at his favorite coffee place. He finds that he can buy a bag of 24 ounces of ground coffee for $12 to make at home. It takes 2 tablespoons of ground coffee to make one cup of coffee. How much will each cup of coffee cost you? Note 2 tablespoons equals 1 ounce. Use the dimensional analysis method (use units in your calculations)
The amount that each cup of coffee cost you will be $0.5 per cup.
How to illustrate the information?It should be noted that the information illustrated that Jane decides that he is spending too much money at his favorite coffee place and she finds that he can buy a bag of 24 ounces of ground coffee for $12 to make at home.
It should be noted that since 2 tablespoons equals 1 ounce, the number of teaspoons will be:
= 24 × 2
= 48 teaspoons
Therefore, the amount that each cup of coffee cost you will be:
= Cost / Number of cups
= $12 / (48 / 2)
= $12 / 24.
= $0.5
Therefore, the amount that each cup of coffee cost you will be $0.5 per cup.
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On October 12, 2020, the number of new cases of Covid 19 in Milwaukee was 235. On Oct. 22, 2020, the number of new cases in Milwaukee was 395.
a. Create an exponential model for new cases in terms of days.
b. Based on your model, what would be the number of new cases on Oct. 31, 2020?
c. The actual number of new cases on Oct. 31, 2020, was 1043. How well does this fit your model?
a. To create an exponential model for new cases in terms of days, we can use the formula: y = a * b ^ x, where y is the number of new cases, x is the number of days since the first observation, and a and b are constants that we need to determine. Using the two data points given, we can set up a system of equations:
235 = a * b ^ 0
395 = a * b ^ 10
Solving for a and b, we get:
a = 235
b = (395/235)^(1/10) = 1.067
Therefore, the exponential model for new cases in Milwaukee is:
y = 235 * 1.067 ^ x
b. To find the number of new cases on Oct. 31, 2020, we need to plug in x = 19 (since Oct. 31 is 19 days after Oct. 12) into the model:
y = 235 * 1.067 ^ 19 = 1018.5
Therefore, based on the exponential model, we would expect around 1019 new cases on Oct. 31, 2020.
c. The actual number of new cases on Oct. 31, 2020, was 1043. This is higher than the predicted value of 1019, but not by a huge margin. Overall, the model seems to fit the data reasonably well, especially considering that there are many factors that can affect the number of new cases in a given area, and that the model is based on only two data points. However, it is worth noting that the exponential model assumes that the growth rate of new cases remains constant over time, which may not be a realistic assumption in the long run.
Learning Task 3 Answer the questions that follow. Put a check mark (/) on the space provided. Copy and answer in your math notebook. 1. The units for Volume are always ______squared _____cubed 2. Volume is the amount of space an object takes up. ___True ___False Calculate for the volume of solid. 3. Chona is selling Pringle Chips to raise money for a field trip. The container has a diameter of 9 inches and a height of 32 inches. 4. A 3-tier cake with the same height of 10 in and radius of 12 in, 8 in, 5 in respectively is to be delivered to a birthday party. How much space does this cake take up? Use 3.14 for π. 5. A Styrofoam model of a volcano is in the shape of a cone. The model has a circular base with a diameter of 48 centimeters and a height of 12 centimeters. Find the volume of foam in the model to the nearest tenth. Use 3.14 for π.
3. The volume of the Pringle Chips container is approximately 2034.72 cubic inches.
4. The cake takes up approximately 7317 cubic inches of space.
5. The volume of foam in the model of the volcano is approximately 7234.08 cubic centimeters.
1. The units for Volume are always cubed.
2. Volume is the amount of space an object takes up. True.
3. To calculate the volume of the Pringle Chips container, we need to find the volume of a cylinder. The formula for the volume of a cylinder is V = πr^2h, where π is a constant (approximately 3.14), r is the radius, and h is the height. Given that the diameter is 9 inches, the radius would be half of that, which is 4.5 inches. Substituting the values into the formula, we have:
V = 3.14 * (4.5)^2 * 32
V = 3.14 * 20.25 * 32
V ≈ 2034.72 cubic inches
4. To find the volume of the 3-tier cake, we need to find the volume of each tier separately and then add them together. Since all the tiers are cylinders, we can use the formula V = πr^2h.
Tier 1:
V1 = 3.14 * (12)^2 * 10 = 4521.6 cubic inches
Tier 2:
V2 = 3.14 * (8)^2 * 10 = 2010.4 cubic inches
Tier 3:
V3 = 3.14 * (5)^2 * 10 = 785 cubic inches
Total volume:
Total V = V1 + V2 + V3
Total V = 4521.6 + 2010.4 + 785
Total V ≈ 7317 cubic inches
5. To find the volume of the Styrofoam model of the volcano, we can use the formula for the volume of a cone, V = (1/3)πr^2h. Given that the diameter is 48 centimeters, the radius would be half of that, which is 24 centimeters. Substituting the values into the formula, we have:
V = (1/3) * 3.14 * (24)^2 * 12
V = (1/3) * 3.14 * 576 * 12
V ≈ 7234.08 cubic centimeters
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The height of a triangle is 5 yards greater than the base. The area of the triangle is 273 square yards. Find the length of the base and the height of the triangle.
Answer:
Base = 21 while Height = 16
Question is below
A. x + 2
B. x + 3
C. x - 2
D. x + 1
Answer:
D. x + 1
Step-by-step explanation:
The expression\( \frac{x^2+3x+2}{x+2} \) can be simplified as follows:
\(x^2 + 3x + 2 \)
Doing middle term factorisation
\(= x^2+(2+1)x+2\)
\(=x^2+2x+1x+2\)
\(=(x + 2)(x + 1)\)
Again
Dividing both side by x+2.
\(\frac{x^2 + 3x + 2}{x + 2} = \frac{(x + 2)(x + 1)}{x + 2}\)
we get
\(\frac{x^2 + 3x + 2}{x + 2}= x + 1\)
Therefore, the expression
\(\frac{x^2+3x+2}{x+2}\) is equivalent to D. x + 1.
Note that the expression is only equivalent to x + 1 when x is not equal to -2. If x = -2, then the expression is undefined.
Rachel is trying to find the length of the lake shown on the diagram. She knows that if the two triangles are similar she can use a
proportion to solve for the length. How can Rachel justify that the triangles are similar? What is the length of the lake?
A) Corresponding sides of the two triangles have the ratio of 41, which
proves SAS similarity. The length of the lake is 212 m.
C) Corresponding sides of the two triangles have the ratio of 41, which
proves SSS similarity. The length of the lake is 132 m
B) Corresponding sides of the two triangles have the ratio of 3:1, which
proves SSS similarity. The length of the lake is 159 m.
D) Corresponding sides of the two triangles have the ratio of 4:1, which
proves AAS similarity. The length of the lake is 240 m.
Answer:
I believe it a I just believe and please make me brailnest
You invested $4000 between two accounts paying 3% and 4% annual interest. If the total interest earned for the year was $130, how much was invested at each rate?
You invested $3000 at 3% annual interest rate, and the remaining amount of $4000 - $3000 = $1000 was invested at 4% annual interest rate.
Let's assume you invested an amount, x, at 3% annual interest rate. This means the amount invested at 4% annual interest rate would be $4000 - x.
To calculate the interest earned from the investment at 3%, we multiply x by 3% (0.03). Similarly, the interest earned from the investment at 4% is calculated by multiplying ($4000 - x) by 4% (0.04).
According to the given information, the total interest earned from both investments is $130. So we can set up the equation:
0.03x + 0.04($4000 - x) = $130
Simplifying the equation:
0.03x + 0.04($4000 - x) = $130
0.03x + $160 - 0.04x = $130
-0.01x = $130 - $160
-0.01x = -$30
x = -$30 / -0.01
x = $3000
Therefore, you invested $3000 at 3% annual interest rate, and the remaining amount of $4000 - $3000 = $1000 was invested at 4% annual interest rate.
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A drawer contains 10 blue pens, 12 black pens, and 3 red pens. Without looking, Mr. Lopez is going to take one pen from the drawer, use it, and then put it back into the drawer. Then he is going to take another pen from the drawer to use. What is the probability of Mr. Lopez taking a red pen first and then taking a blue pen?
Answer: 4.8%
Step-by-step explanation: the total amount of pens in the drawer is (10+12+3) = 25
the amount of red pens in the drawer is 3
the probability of picking out a red pen from the drawer = 3/25
the amount of blue pens in the drawer is 10
the probability of picking out a red pen from the drawer = 10/25
the probability of picking out a red pen then a blue pen afterwards = (10/25 x 3/25) = 4.8%
A company has a 20-person grievance committee. When a grievance is filed, three of these 20 people are chosen at random to serve on a hearing panel. Suppose that two committees are formed. What is the probability that these committees have at least one member in common?
Answer:
the probability that the two committees have at least one member in common is approximately 0.3622.
Step-by-step explanation:
To find the probability that two committees have at least one member in common, we can use the complement rule, which states that the probability of an event happening is 1 minus the probability of the event not happening.
Let A be the event that the two committees have no members in common. To calculate the probability of A, we can first find the number of ways to choose three people out of 20 without any overlap, and then use this to find the total number of ways to choose two committees of three people each without any overlap:
Number of ways to choose 3 people out of 20 without overlap:
C(20,3) = (201918)/(321) = 1140
Number of ways to choose 3 people out of 20 with overlap:
C(20,3) - C(2,1)C(17,2) = 1140 - 2(2*136) = 680
The first term is the total number of ways to choose 3 people out of 20, and the second term is the number of ways to choose 3 people out of 20 such that one particular person is included. We multiply by 2 because there are two committees.
The total number of ways to choose two committees of three people each without any overlap is:
C(20,3) * C(17,3) = (1140*680) = 775200
Therefore, the probability that the two committees have no members in common is:
P(A) = 775200 / (C(20,3)*C(17,3)) = 0.6378
So the probability that the two committees have at least one member in common is:
P(at least one member in common) = 1 - P(A) = 1 - 0.6378 = 0.3622
Therefore, the probability that the two committees have at least one member in common is approximately 0.3622.
Frank has 24 pennies,62 nickels,55 dimes,16 quarters, and 19 fifty cent pieces. How many do you have?
Answer:
1.76
Step-by-step explanation:
you add them by 24,62,16,55,16 and 19
A figure is shown, where lines CE and FD intersect at point B.
.
A figure is shown, where lines CE and FD intersect at point B.
.
Angle ABC is complementary to angle DBC.
What is the measure, in degrees of ?
Answer:
Step-by-step explanation:
Its 4.51
awnser this for 5 points do you use this app.bc ur lazy and don't want to think
Answer:
No but when I don't understand something it helps
Step-by-step explanation:
and I'm not lazy either
If John solved the equation x² - 10x +8=0 by completing the square, one of the steps in his process would
be:
(z-5)² = 17
(z+4)² =10z+16
(z+4)² =10z
(2-5)² = -8
If John solved the equation x² - 10x + 8 = 0 by completing the square, one of the steps in his process would be: A. (x - 5)² = 17.
What is a quadratic equation?In Mathematics, the standard form of a quadratic equation is represented by the following equation;
ax² + bx + c = 0
Next, we would solve the given quadratic equation by using the completing the square method;
x² - 10x + 8 = 0
x² - 10x = -8
In order to complete the square, we would have to add (half the coefficient of the x-term)² to both sides of the quadratic equation as follows:
x² - 10x + (-10/2)² = 8 + (-10/2)²
x² - 10x + 25 = -8 + 25
x² - 10x + 25 = 17
By simplifying, we have;
(x - 5)² = 17
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PLSSSS PLSSS HELPPPP MEEEEE ASAPPPPP I WILLLLL GIVE BRAINLIEST!!!!!!!
Answer:
40 ft
Step-by-step explanation: