Answer:
Each girl scored 9 points
Each boy scored 7 points
Step-by-step explanation:
Let the number of points each girl scored = a
Let the number of points each boy scored = b
7 girls and 6 boys scored a total of 105 points.
7a + 6b = 105......... Equation 1
The difference between the number of points scored by the 7 girls and the number of points scored by the 6 boys is 21
7a - 6b = 21........... Equation 2
7a + 6b = 105......... Equation 1
7a - 6b = 21........... Equation 2
Subtract Equation 2 from Equation 1
12b = 84
b = 84/12
b = 7
Therefore, each boy scored 7 points
7a + 6b = 105......... Equation 1
b = 7
7a+ 6b = 105
7a + 6(7) = 105
7a + 42 = 105
7a = 105 - 42
7a = 63
a = 63/7
a = 9
Therefore, each girl scored 9 points.
sue subtracted 2.9 from 20.9 and got 1.8. Explain why this is not reasonable. Please answer ASPA. I Will give brainliest and do anything.
Answer:
The correct answer would be 18 which means that the decimal is in the wrong spot.
Step-by-step explanation:
what is the maximum number of terms a fourth-degree polynomial function in standard form can have?
The maximum number of terms fourth-degree polynomial function in standard form can have is 5
The general form of an nth degree polynomial is:
[tex]p(x) = a_nx^n+a_{n-1}x^{n-1}+a_{n-2}x^{n-2} + ....+a_1x+a_0[/tex]
The maximum number of terms that an nth -degree polynomial can have is n+1
For a fourth degree polynomial, n = 4
Substitute n = 4 into [tex]p(x) = a_nx^n+a_{n-1}x^{n-1}+a_{n-2}x^{n-2} + ....+a_1x+a_0[/tex]
[tex]p(x) = a_4x^{4}+a_{4-1}x^{4-1}+a_{4-2}x^{4-2}+a_{4-3}x^{4-3}+a_{4-4}x^{4-4}\\\\p(x) = a_4x^4+a_3x^3+a_2x^2+a_1x+a_0[/tex]
The maximum number of terms of p(x) above, when n = 4 is (4+1)
The maximum number of terms fourth-degree polynomial function in standard form can have is 5
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A shorter style of cup is stacked tall. The graph displays the height of the stack in centimeters for different numbers of cups. How much does each cup after the first add to the height of the stack? (Hint: How much height is gained per cup added?) Explain how you know.
SCREENSHOT OF GRAPH! HELP
Answer:
0.5 cm
Step-by-step explanation:
We are looking for how much height is gained per cup added.
Height per cup added can be calculated by finding the slope of the line that runs through the two given points on the graph, (3, 5.5) and (8, 8).
Formula for slope = [tex] m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]
Let,
[tex] (3, 5.5) = (x_1, y_1) [/tex]
[tex] (8, 8) = (x_2, y_2) [/tex]
[tex] m = \frac{8 - 5.5}{8 - 3} [/tex]
[tex] m = \frac{2.5}{5} [/tex]
[tex] m = 0.5 [/tex]
0.5 cm is gained per cup added.
The rise in height per cup will be 0.5 cm.
Given information:
The given graph displays the height of the stack in centimeters for different numbers of cups.
The given points on the graph are (3,5.5) and (8,8).
Now, the slope of the line joining these two-point will give the rise per cup.
So, the slope will be calculated as,
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}\\m=\dfrac{8-5.5}{8-3}\\m=\dfrac{2.5}{5}\\m=0.5[/tex]
So, the slope is 0.5 centimeters per cup.
Therefore, the rise in height per cup will be 0.5 cm.
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11a − 2a = 9 what does a=
Answer:
a=1
Step-by-step explanation:hhqhhahehh
What is the average rate of change in height over the entire 5 seconds?
Answer:“To get the average rate of change between 2 points...” To get the average rate of change between 2 points, plug in their coordinate values into the equation (y2-y1)/(x2-x1). The values come from the points (x1,y1) and (x2,y2).
Step-by-step explanation:
Ara is lining the bottom and lateral faces of a drawer with liner paper. The dimensions of the inside of the drawer are 1 yard, 29 inches, and 9 inches. What is the total area in square inches being covered? The total area being covered is square inches.
Answer:
The total area being covered is 3,528 square inches
Step-by-step explanation:
Mathematically, we can deduce the shape of the drawer using the dimensions.
With the dimensions given, we can infer that the drawer is shaped like a match box which thus is in the shape of a cuboid.
We can then proceed to find the area of the cuboid.
Mathematically, the area of a cuboid can be calculated as;
2(lb + lh + bh)
Kindly note we need to have a uniform unit before we proceed to calculate the area.
Mathematically, 1 yard is 36 inches
So the sides of the drawer measures 36 inches by 29 inches by 9 inches
Thus, the area is thus;
2( 29(9) + 36(29) + 9(36))
= 2(261 + 1044 + 324)
= 2(1629)
So the area of the drawer is 3,528 square inches
Use the quadratic formula to solve. SHOW ALL STEPS FOR FULL CREDIT. Make sure that the final answer has a simplified radical. 2x² -10x +3
Answer:
whats that
Step-by-step explanation:
Answer:
[tex]x=\frac{5+\sqrt{19}}{2}\text{ and } x=\frac{5-\sqrt{19}}{2}[/tex]
Step-by-step explanation:
If we have the standard form [tex]ax^2+bx+c[/tex], then we can use the quadratic formula:
[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]
First, let's identify our coefficients. We have [tex]2x^2-10x+3[/tex].
This can be rewritten as [tex](2)x^2+(-10)x+(3)[/tex].
Therefore, a=2, b=-10, and c=3.
Substitute these values into the quadratic formula. This yields:
[tex]x=\frac{-(-10)\pm\sqrt{(-10)^2-4(2)(3)}}{2(2)}[/tex]
From here, simplify. Evaluate the expression under the square root:
[tex]x=\frac{10\pm\sqrt{100-24}}{4}[/tex]
Evaluate:
[tex]x=\frac{10\pm\sqrt{76}}{4}[/tex]
Note that:
[tex]\sqrt{76}=\sqrt{4\cdot 19}=\sqrt{4}\cdot\sqrt{19}=2\sqrt{19}[/tex]
Therefore:
[tex]x=\frac{10\pm2\sqrt{19}}{4}[/tex]
We can factor out a 2 from both the numerator and the denominator:
[tex]x=\frac{2(5\pm\sqrt{19})}{2(2)}[/tex]
Simplify:
[tex]x=\frac{5\pm\sqrt{19}}{2}[/tex]
Therefore, our roots are:
[tex]x=\frac{5+\sqrt{19}}{2}\text{ and } x=\frac{5-\sqrt{19}}{2}[/tex]
−2(−x+4) − 3x+2= −5 what is x?
TO WHOEVER ANSWERS AND HAS BEST EXPLANATION YOU WILL GET BRAINLY
Answer:-1
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
−2(−x+4)−3x+2=−5
(−2)(−x)+(−2)(4)+−3x+2=−5(Distribute)
2x+−8+−3x+2=−5
(2x+−3x)+(−8+2)=−5(Combine Like Terms)
−x+−6=−5
−x−6=−5
Step 2: Add 6 to both sides.
−x−6+6=−5+6
−x=1
Step 3: Divide both sides by -1.
−x −1 = 1 −1 /x=−1
Answer:
x=−1
Fill in the blank with the correct number.
The number ________ is divisible by 2, 3, 4, 5, and 6.
A. 10
B. 30
C. 45
D. 60
Monique made several batches of soup for a potluck supper each batch requires 3/4 of a pounds of potatoes and she used a total of six 1/2 pounds of potatoes how many batches of sifted Monique make which division and multiplication problems could represent this scenario check all that apply
Answer:
The answer is below
Step-by-step explanation:
Monique made several batches of soup for a potluck supper. Each batch required 3\4 of a pound of potatoes, and she used a total of 6 1/2 pounds of
potatoes. Solve the division problem.
What is 13/2 ÷ 3/4
Answer:
a) 3\4 of a pound of potatoes can make a batch of potluck supper. Monique used 6 1/2 pounds of potatoes in total. Let n represent the number of batches of soup that was made, hence:
[tex]n=\frac{total\ number\ of\ potatoes\ used}{6 1/2 pounds ofpotatoes\ to\ make\ a\ batch\ of\ soup} \\\\n=\frac{6\frac{1}{2} }{\frac{3}{4} } =\frac{\frac{13}{2} }{\frac{3}{4} } =\frac{13}{2}*\frac{4}{3} =8.67[/tex]
Therefore Monique made about 8 batches of soup
b) [tex]\frac{\frac{13}{2} }{\frac{3}{4} } =\frac{13}{2}*\frac{4}{3} =\frac{26}{3} =8.67[/tex]
Answer:
b and e are the best options and are true
I'm soooo freakin' bad at math bruh....someone please help :/
28. Which of the following pairs of integers will give you a sum of −12 and a product of 35?
a. −6, −6
b. −4, −8
c. −5, −7
d. 5, 7
29. If Jess has 3 more nickels than dimes for a total of $1.50, how many of each does he have?
a. 7 nickels, 4 dimes
b. 12 nickels, 9 dimes
c. 13 nickels, 10 dimes
d. 6 nickels, 12 dimes
30. The length of a rectangle is 9 inches greater than the width. The area is 36 in.2. Find the dimensions.
a. 2 in. by 11 in.
b. 4 in. by 9 in.
c. 3 in. by 12 in.
d. 2 in. by 18 in.
The United States Census collects data on many variables about individuals and households.
Which variables are quantitative?
Select all that apply.
Years living in the U.S.
How many adults are registered to vote in the upcoming election?
Number of adults over 18.
Number of minors in the household
Family role of respondent
Number of family members residing at the address
Ethnicity
Zip code
Answer:
Years living in the U.S.
How many adults are registered to vote in the upcoming election?
Number of adults over 18
Number of minors in the household
Number of family members residing at the address
Zip code
Step-by-step explanation:
Given the following :
Select the variables which are quantitative :
Quantitative variables may be explained as those variables which are represented numerically or possess numerical attributes. The are usually expressed in numbers. Quantitative variables in the options below are those which will take Numeric inputs.
Years living in the U.S. = quantitative
How many adults are registered to vote in the upcoming election? = quantitative
Number of adults over 18. = quantitative
Number of minors in the household = quantitative
Family role of respondent = not quantitative
Number of family members residing at the address = quantitative
Ethnicity = Not quantitative
Zip code = quantitative
Is the following figure a parallelogram? Why?
P
O No, opposite angles are congruent.
O Yes, opposite sides are congruent.
O No, opposite sides are congruent.
O Yes, opposite angles are congruent.
338 points in 16 games. how many points did they make per game?
subtract (6+5i)-(9-3i)
(Simplify your answer. Type your answer in the form a+bi)
Answer:
-3+8i
Step-by-step explanation:
Charlie bought hamburgers today and drinks for his friends. Each burger cost $3.75 and each drink cost .50 cents. In total Charlie paid $25.50 for his order. Write an equation that represents the number of burgers he bought,h, and the number of drinks he bought ,d.
Answer:
3.75h + 0.5d = 25.50
Step-by-step explanation:
Let 'h' represent the number of hamburger.
Let 'd' represent the number drink.
From the question given:
We were told that a hamburger (h) cost $ 3.75.
Therefore, h number hamburger will cost = h × 3.75 = 3.75h
Also, we were told that a drink cost 0.50 cent.
Therefore, d number of drink will cost = d × 0.5 = 0.5d
In total Charlie paid $25.50 for his order i.e
Total cost of hamburger + total cost of drink = 25.50
Total cost of hamburger = 3.75h
Total cost of drink = 0.5d
3.75h + 0.5d = 25.50
Thus, the equation representing the number of hamburgers (h) and the number of drinks (d) that Charlie bought is given as:
3.75h + 0.5d = 25.50
the amount of money in a bank account
Answer:
I currently have $-68
Step-by-step explanation:
The function g(x) = (x + 2)2 + 4 is a transformation of the parent function f(x) = x2. Select all the statements that are true about the transformation.
A. Function g is the result of f being translated right 2 units and down 4 units.
B. Function g is the result of f being translated left 2 units and up 4 units.
C. The graph of function f opens upward.
D. The graph of function g opens downward.
E. The graph of function f is compressed by a factor of 2.
Answer:
Step-by-step explanation:
B
C
Using translation and parabola concepts, it is found that the correct options are:
A. Function g is the result of f being translated right 2 units and down 4 units.
C. The graph of function f opens upward.
------------------------------
The parent function is: [tex]f(x) = x^2[/tex]Function g is given by: [tex]g(x) = (x + 2)^2 + 4[/tex]Shifting a function f(x) a units to the right is the same as finding f(x + a).Shifting a function f(x) a units up is the same as finding f(x) + a.From the last two bullet points, option A is correct and option B is incorrect.In both functions, f and g, the term that multiplies [tex]x^2[/tex] is positive, thus, both open upward, which means that option C is correct and option D is incorrect.Both are multiplied by the same factor, 1, thus none are compressed, and option E is incorrect.A similar problem is given at https://brainly.com/question/4521517
what is the value for y in the follower expression
When x= 14
Y=2x+5
Answer:9-8Step-by-step explanation:
A certain star is 5.2 x 10^2 light years from the Earth. One light year is about 5.9 x 10^12 miles. How
far from the earth (in miles) is the star?
the correct answer is 5.89999999948*10^12
What are the roots of the quadratic equation y= x^2 - 10 x + 125
Answer:the roots is 2 10 and 125
Step-by-step explanation:used a caculator
Answer:
for me the answer is a but the root is x=5+10i
Step-by-step explanation:
What is the slope of a line that passes through points (2, 4) and (8, 22)???????
Answer:
The slope is 1/3
Step-by-step explanation:
2-8/4-22
-6/-18
1/3
What is the equation of this line?
A. y=43x−4
B. y=34x−4
C. y=−4x+34
D. y=−4x+43
Answer:
Y=4/3x - 4
Step-by-step explanation:
A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of the given line is y=(4/3)x-4.
What is the equation of a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,
y =mx + c
where,
x is the coordinate of the x-axis,
y is the coordinate of the y-axis,
m is the slope of the line, and
c is the y-intercept.
The slope of the line can be calculated with the two points that are present on the line, in this case, these points are (3,0) and (0, -4). Therefore, the slope is,
Slope, m = (-4 - 0)/(0 - 3) = -4/-3 = 4/3
The y-intercept of the line is -4, therefore, the equation of the line can be written as,
y = mx + c
y = (4/3)x - 4
Hence, the equation of the given line is y=(4/3)x-4.
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The machine runs 10 hours a day for 5 days a week. How many gallons of yogurt are processed each week?
Answer:
30 gallons
Step-by-step explanation:
if it fills up 1600 tubs an hour then the answer should be 30 gallons.
Yall pray for me I'm doing a huge math test
Answer:
An animal shelter has $2500 in its reserve fund. The shelter charges $40 per animal placement and would like to have at least $4000 in its reserve fund. Write an inequality to represent this situation.
Step-by-step explanation:
plz answer
Answer:
OK
Step-by-step explanation:
What type of math geometry? Algebra?
You figured out that you could make $50 each time you cleaned a pool during the summer.
You did, however, need to purchase some equipment to get started. After cleaning 3 pools,
you were still down at total of 15 dollars. Write an equation in point-slope form that
represents that number of pools you clean, x, and the total amount you make in the summer,
V
a) y = 50x - 165 (After cleaning three pools, you were still down $15, this means the equipment costs 3*50 + 15 = $165)
b) The y-intercept -165 is the equipment cost
c) After cleaning 12 pools, y = 600 - 165 = 435. You have made $435.
You discovered that you could earn $50 for each summertime pool you cleaned. The equation is y = 50x + 16. The y-intercept is (0, 165). After 12 pools, y = 435.
What is point-slope equation ?We have to create a point-slope equation to reflect the quantity of pools you clean, x, and your summertime earnings.
Given that,
You discovered that you could earn $50 for each summertime pool you cleaned
But in order to begin going, you had to buy some supplies. Even after cleaning three pools, you were still out of pocket by a total of $15.
The equation we can write as
y = 50x + 165
You were still down $15 after cleaning three pools, therefore the equipment costs 3×50 + 15 = $165.
The y-intercept we get as taking x as zero.
y = 50(0) + 165
y = 165
The y-intercept is (0,165).
After 12 pools,
We get,
y = 600 - 165 = 435.
Therefore, The equation is y = 50x + 16. The y-intercept is (0,165). After 12 pools, y = 435.
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What is the property demonstrated by the equation (2a)^4 = 16a^4
(^4 indicates an exponent (which is 4))
Answer:
Ues the site called quetext is helps
Step-by-step explanation:
Multiplying the sum of two or more addends by a number produces the same result as when each addend is multiplied individually by the number and the products are added together. (2a)^4 = 16a^4 is distributive property.
What is Distributive property?Multiplying the sum of two or more addends by a number produces the same result as when each addend is multiplied individually by the number and the products are added together.
If an exponent acts on single term in parentheses, we can distribute the exponent over the term.
(2a)^4
=2^4.a^4
The value of 2^4 is 16, because 2^4=2*2*2*2=16.
=16a^4.
Therefore by distributive property of exponents (2a)^4 = 16a^4.
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Renee has 13 rings and 48 bracelets. She has a small box for each item. How many small boxes does Renee have
for her rings and bracelets?
Help plz
Answer:
[see below]
Step-by-step explanation:
Renee has one small box for each item. This means that she would have 13 boxes for the small rings and 48 boxes for the bracelets.
13 + 48 = 61
She should have 61 boxes in total.
Hope this helps.
If Fernando paid 450 for a notebook that was 75percent of the original price, what was the original price?
Answer:
$600
Step-by-step explanation:
450➗75✖100= 600. The original price was $600.
Answer:
600
Step-by-step explanation:
450/.75=600 dollars
Which sequence of transformations will generate triangle A'B'C' from triangle ABC?
Answer:
C !!
when u reflect it the point "C" will be on -1,-1 and when u move it to the right two units it'll end up at point 1,1 matching it with point C'