Answer:
14 out of 17 is a 82% and 31 out of 39 is a 79%.
14 out of 17 is better
Answer:
it's better to get 14 out of 17
Step-by-step explanation:
14 out of 17 is 82% while 31 out of 39 is 79%
The admission fee to the Michigan State Fair is $6 for children and $4 for adults. On the first day $1250 was collected. A total of 220 children and adults attended the fair the first day. How many children and how many adults attended the fair the first day?
Write and solve a system of equations to answer the question.
Show your work here:
Question 2
Answer:
children and
adults attended the fair the first day.
Answer:
185 children and 35 adults
Step-by-step explanation:
first equation: 6x+4y=1250
second equation: x+y=220
work:
6x+4y=1250 (-1)
x+y=220 (6) we eliminate x, that's why I multiply each term by 6 and -1
-6x-4y=-1250
6x+6y=1320
2y=70
2y/2=70/2
y=35 (I used y for adults)
x+35=220
x=220-35
x=185 (and I used x for children)
hope this helps you^^
How many solutions does 4x2 + 12x + 9 = 0 have ?
Answer:
two solutions
Step-by-step explanation:
Any quadratic equation will always have two solutions.
Hope this helps!
Write g(x) = 40x 4x2 in vertex form. Write the function in standard form. Factor a out of the first two terms. Form a perfect square trinomial. Write the trinomial as a binomial squared. G(x) = 4x2 40x g(x) = 4(x2 10x) (ten-halves) squared = 25 g(x) = 4(x2 10x 25) – 4(25) g(x) = (x )2 –.
The specified function's vertex form is [tex]g(x) = 4(x+5)^2 - 100[/tex]
What is vertex form of a quadratic equation?If a quadratic equation is written in the form
[tex]y=a(x-h)^2 + k[/tex]
then it is called to be in vertex form. It is called so because when you plot this equation's graph, you will see vertex point(peak point) is on (h,k)
What is a perfect square polynomial?If a polynomial p(x) can be written as:
[tex]p(x) = [f(x)]^2[/tex]
where f(x) is also a polynomial, then p(x) is called as perfect square polynomial
For the considered case, the polynomial specified is;
[tex]g(x) = 40x + 4x^2[/tex]
Case 1: Converting to vertex form[tex]g(x) = 40x + 4x^2\\g(x) = 4(x^2 + 10) = 4(x^2 + 10 + 25 -25)\\g(x) = 4(x^2 + 10 + 25) - 100 = 4(x+5)^2 - 100\\[/tex]
Thus, the vertex form of the considered polynomial is [tex]g(x) = 4(x+5)^2 - 100[/tex]
Case 2: Converting to standard formStandard form of a quadratic polynomial is [tex]ax^2 + bx + c[/tex]
Thus, we get: the considered polynomial in standard form as:
[tex]g(x) = 4x^2 +40x[/tex]
Case 3: Factoring the first two terms of polynomial[tex]g(x) = 40x + 4x^2 \\g(x) = 4x(10 + x)[/tex]
Case 4: Forming a perfect square trinomialThe considered polynomial has only two terms, therefore, its not a trinomial.
Thus, the specified function's vertex form is [tex]g(x) = 4(x+5)^2 - 100[/tex]
Learn more about vertex form of a quadratic equation here:
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Answer:
g(x)=4(x+5)^2-100
Step-by-step explanation:
Have the day you deserve :)
The day after Thanksgiving dinner, Thomas begins a workout that burns 245 calories each day. It took him 2 weeks to burn off the calories he consumed on Thanksgiving. How many calories did Thomas consume on Thanksgiving?
Answer:
3,430 Cal.
Step-by-step explanation:
You would multiply the number of days in a week: 7 by 2 (14) and then multiply that bye 245 = 3,430
Answer:
3,430
Step-by-step explanation:
First we have 2 weeks, there are 7 days in a week.
2 x 7 = 14
He burns off 245 a day. We multiply 245 by 14 to get:
3,430
Help with substitution please.
What is the slope of the line shown?
Answers
A: 3
B:2
C:1/2
D:-3
What is the value of the expression 3x-8y when x=10 and y=2?
Answer:
14
Step-by-step explanation:
3x-8y
(3*10)-(8*2)
30-16
14
Answer:
30-16
Step-by-step explanation:
slope of 2,1 and 7,1
Answer:
0
Step-by-step explanation:
Answer:
0
I hope this helps!
What civilization found the first known value of pi?.
Answer: The Egyptians, Babylonians, and Archimedes.
Step-by-step explanation: The Egyptians and Babylonians were the first known civilizations to use pi. At the time, Egyptians devised the approximated value of pi as 3.1605. Archimedes, however, did the first calculation of pi, with its approximate value of 3.141592 or 3.14 to make it shorter.
Hopefully, this helps you!
Pls help I'll give brainly i really need it
hello
30/42 = x /49
42 x = 1 470
x = 35
30 /42 = 40/ 40 + y
30 y + 1200 = 1 680
30 y = 1 680 - 1 200
30 y = 480
y = 16
Answer:
x = 35
y = 16
Step-by-step explanation:
Both the triangles are similar by AA test of similarity.
[tex] \implies \: \frac{30}{30 + 12} = \frac{40}{40 + y} = \frac{x}{49} \\ \\ \implies \: \frac{30}{42} = \frac{40}{40 + y} = \frac{x}{49} \\ \\ \implies \: \frac{5}{7} = \frac{40}{40 + y} = \frac{x}{49} \\ \\ \implies \: \frac{5}{7} = \frac{x}{49} \\ \\ \implies \: x = \frac{5 \times 49}{7} \\ \\ \implies \huge \red {\boxed{ \: x = 35}}\\ \\ \implies \: \frac{5}{7} = \frac{40}{40 + y} \\ \\ 5(40 + y) = 280 \\ \\ \implies \: 200 + 5y = 280 \\ \\ \implies \: 5y = 280 - 200 \\ \\ \implies \: 5y = 80 \\ \\ \implies \: y = \frac{80}{5} \\ \\ \implies \: \huge { \orange{ \boxed{ y = 16}}}[/tex]
what is the line of symmetry of the parabola y=x2+6×-9
x=6
x=-9
×=-3
Answer:
x = - 3
Step-by-step explanation:
given a parabola in standard form y = ax² + bx + c (a ≠ 0 )
then the equation of the axis of symmetry is
x = - [tex]\frac{b}{2a}[/tex]
y = x² + 6x - 9 ← is in standard form
with a = 1, b = 6 , then the equation of the axis of symmetry is
x = - [tex]\frac{6}{2}[/tex] = - 3 , that is x = - 3
If a student has a 60 percent in math what will he need to pass semester 2
Answer:
Step-by-step explanation:
Letter Grade Percentage Points Level
A+ 95-100 4.00 Exceptional
A 90 to less than 95 3.75 Excellent
B+ 85 to less than 90 3.50 Superior
B 80 to less than 85 3.00 Very Good
C+ 75 to less than 80 2.50 Above Average
C 70 to less than 75 2.00 Good
D+ 65 to less than 70 1.50 High-Pass
D 60 to less than 65 1.00 Pass
F Less than 60 0.00 Fail
will give brainliest
Three vertices of parallelogram PQRS are show: Q(8, 5), R(5, 1), S(2, 5)
Place statements and reasons in the table to complete the proof that shows that parallelogram PQRS is a rhombus.
[tex]PQRS[/tex] is a rhombus since [tex]\overline{QR} \cong \overline{RS}[/tex] and [tex]m\angle R \neq 0^{\circ}[/tex], [tex]m\angle R \neq 90^{\circ}[/tex] and [tex]m\angle R \neq 180^{\circ}[/tex]. [tex]\blacksquare[/tex]
How to demonstrate that a given figure represents a rhombus
In this question we must prove that a given parallelogram is a rhombus. A rhombus is quadrilateral with four sides of equal length and two pairs of angles of equal measure, different to each other. We must demonstrate that [tex]\overline {QR} \cong \overline {RS}[/tex] and [tex]m\angle R \neq 90^{\circ}[/tex] and [tex]m\angle R \neq 0^{\circ}[/tex] and [tex]m\angle R \neq 180^{\circ}[/tex] by geometric and algebraic definitions and theorems:
[tex]Q(x,y) = (8,5)[/tex], [tex]R(x,y) = (5,1)[/tex], [tex]S(x,y) = (2,5)[/tex] Given[tex]QR = \sqrt{(5-8)^{2}+(1-5)^{2}} = 5[/tex] Pythagorean theorem/Line segment length formula[tex]RS = \sqrt{(2-5)^{2}+(5-1)^{2}} = 5[/tex] Pythagorean theorem/Line segment length formula[tex]QR = RS[/tex] (2) and (3)[tex]\overrightarrow {QR} \,\bullet\,\overrightarrow{RS} = (-3)\cdot (-3) + (-4)\cdot (4) = -7[/tex] Dot product[tex]\theta = \cos^{-1}\left(\frac{\overrightarrow{QR}\,\bullet\,\overrightarrow{RS}}{QR\cdot RS} \right) = \cos^{-1}\left(-\frac{7}{25} \right) \approx 106.260^{\circ}[/tex] Dot product[tex]\overline{QR} \cong \overline {RS}[/tex] (4) and (6)[tex]PQRS[/tex] is a rhombus. (6) and (7)/Result[tex]PQRS[/tex] is a rhombus since [tex]\overline{QR} \cong \overline{RS}[/tex] and [tex]m\angle R \neq 0^{\circ}[/tex], [tex]m\angle R \neq 90^{\circ}[/tex] and [tex]m\angle R \neq 180^{\circ}[/tex]. [tex]\blacksquare[/tex]
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does anybody know how
Round each decimal number to the nearest tenth. Then, select the best estimate for the subtraction equation 4.35 − 1.27 = ___.
Answer:
3.1
Step-by-step explanation:
When you round to the nearest tenth 4.35 is 4.4 and 1.27 is 1.3
Answer: 3.1
Step-by-step explanation: Round 4.35 and you get 4.4 round 1.27 you get 1.3 subtract them and you get 3.1
8) At a recent party, it cost $18.50 for refreshments for 10 guests. At this rate, how much would it cost to have refreshments for 80 guests?
Answer:
$148 pretty sure
Step-by-step explanation:
Answer:
$148
Step-by-step explanation:
Divide 18.50 by 10 to get the cost for 1 guest
18.50 / 10 = 1.85
Multiply 1.85 by 80
Max wants to rent a bicycle. The cost to rent a bike is a $5 insurance fee plus $3 per hour. Max has at most $20 to spend. Write an inequality to represent this scenario. Give a value that satisfies the inequality.
Answer: 5 + 3x ≤ 20; 5
Step-by-step explanation:
at most means not more than(less or equal to),which use the symbol ≤. Let x be the hour that Max rent.
5 + 3x ≤ 20
3x ≤ 15 [Subtract 5 from both sides.]
x ≤ 5 [Divide 3 from both sides.]
Any value less than or equal to 5 will be satisfies the inequality.
2. A businessman starts
with $10 million and
loses $5 million an
hour. How much
money does he have
after eight hours
Answer:
0
Step-by-step explanation:
He loses it all in 2 hours
Answer:
-25 million
Step-by-step explanation:
Because after 2 hours you will lose all of your money and continue to go down into the negatives.
Based on the sample in the table, how many of the 650
students in 7th grade will also like country as their favorite
type of music?
Music
Pop/Rock
Rap/Hip-hop
Country
Number
12
7
6
The sample in the table is used to show the preference of each student
156 students preferred country music
How to determine the number of students?From the question, we have:
Country = 6
Total students = 650
Total proportion = 25 i.e. 12 + 7 + 6
So, the number of students that preferred country music is:
Country = 6/25 * 650
Evaluate the product
Country = 156
Hence, 156 students preferred country music
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Through the points (-1, 1) and (-3,5)
Step-by-step explanation:
Slope of the line connecting the points (1,-1) & (3,5) is 6/2 = 3
so the equation using point form y-y1 = m(x-x1)
y+1 = 3(x-1) = 3x-3
y=3x-4
Find the distance between Line c and Point A. Round to
the nearest tenth.
Answer:
The distance is approximately 3.6
Step-by-step explanation:
The distance from a point (xo, yo) to a line ax+by+c=0 is the shortest distance from the given point to any point on the line.
It can be calculated with the formula:
[tex]\displaystyle d={\frac {\mid ax_{0}+by_{0}+c\mid}{\sqrt {a^{2}+b^{2}}}}[/tex]
The coordinates of point A are (1,-2). The equation of the line must be found by knowing two clear points it passes through.
These points are (0,3) and (6,-1). First, we calculate the slope:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\displaystyle m=\frac{-1-3}{6-0}=\frac{-4}{6}=-\frac{2}{3}[/tex]
The equation of the line in slope-point form is:
[tex]y=m(x-x_o)+y_o[/tex]
Taking the point (0,3) and the slope above:
[tex]\displaystyle y=-\frac{2}{3}(x-0)+3[/tex]
Multiply by 3:
[tex]3y=-2x+9[/tex]
Moving all terms to the left side:
[tex]2x+3y-9=0[/tex]
We now have all the required values to calculate the distance:
a=2, b=3, c=-9, xo=1, yo=-2
[tex]\displaystyle d={\frac {\mid 2\cdot 1+3\cdot (-2)+(-9)\mid}{\sqrt {2^{2}+3^{2}}}}[/tex]
[tex]\displaystyle d={\frac {\mid 2-6-9\mid}{\sqrt {13}}}\approx 3.61[/tex]
The distance is approximately 3.6
Don't know this need help
Answer:
c
Step-by-step explanation:
100 points for right answer
Answer:
Every point is moved so that it is three times from the y-axis... i think
Step-by-step explanation:
i used elimination method (btwn rotation and reflection also enlargement) using eyes hence not sure about answer
Greater than or less than
Square root of 55 or 7.7
Answer:
Square of 55 is 3025
Square of 7.7 is 5.29
Solve for x. 3x²+13x=10 Enter your answers in the boxes.
Answer:
2/3 or -5 is correct for all future users.
Step-by-step explanation:
The roots of the quadratic equations or the values of x are -5 and 2/3.
What is a quadratic equation?A quadratic equation is an algebraic equation of degree two. An algebraic equation of degree n has exactly n number of roots.
Given a quadratic equation 3x² + 13x = 10 which can be written as,
3x² + 13x - 10 = 0.
Now two numbers that add to 13 and multiplied to -30 are 15 and - 2.
3x² + 15x - 2x - 10 = 0.
3x(x + 5) - 2(x + 5) = 0.
(x+5)(3x-2) = 0.
x + 5 = 0 OR 3x -2 = 0.
x = -5 OR x = 2/3.
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Type the correct answer in the box.
What trigonometric expression can be used to find the value of X? Replace a and b with the correct values
Answer:
a=12 b=25 degrees
Step-by-step explanation:
the tangent of the 25 degree angle gets you your answer
Trigonometry ('triangle', or 'measure') is the branch of mathematics that studies relationships between side lengths or the angles of the triangles
by the question, we have the following parameters:
Vertical Leg = x
Base length = 12
Angle at the vertical side = 25 degrees
The measure of the x is then calculated using the following tangent ratio
tan(x) = Base length / Vertical leg
Substitute known values
tan(x) = 12/x
So, the trigonometric expression that it is be used for find the value of x is tan(x) = 12/x
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Nina’s sister has 386 stickers that she wants to put in a book. Each page can hold 42 stickers. How many pages will she need? Explain your reasoning.
Answer:
10 pages
Step-by-step explanation:
386/42=9.1 pages
but you can not have .1 of a page so you add another page.
Create a data set that contains 10 values such that the mean is greater than the median.
Answer:
Go with anything, and I mean ANYTHING that is in a numerical order with an outlier
LITERALLY 1,2,3,4,5,6,7,8,9,100
you will get a median of 5.5 but with the high outlier, you will get a mean of 14.5
Two joggers set out at the same time from their homes 21 miles apart. They agree to meet at a point somewhere in
between in an hour and a half. If the rate of one is 2 mph faster than the rate of the other, find the rate of each
The two joggers who are 21 miles apart travel at a speed 8 mph and 6 mph respectively and would meet after one and half hours.
What is an equation?An equation is an expression used to show the relationship between two or more variables and numbers.
Let a represent the speed of the faster jogger and represent the speed of the other jogger. Hence:
a = b + 2 (1)
Also:
In one and half hour (1.5 h):
a = d₁/1.5
d₁ = 1.5a
b = d₂/1.5
d₂ = 1.5b
d₁+ d₂ = 21
1.5a + 1.5b = 21 (2)
From both equation 1 and 2:
a = 8, b = 6
The speed of the joggers is 8 mph and 6 mph respectively.
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