9. The 8 grade class is selling pennants and flags. They earn $1 for each pennant
sold and $6 for each flag sold. They sell 50 items and earn $115. How many
pennants and how many flags did they sell?
Given :
The 8 grade class is selling pennants and flags.They earn $1 for each pennantsold and $6 for each flag sold. They sell 50 items and earn $115.To Find :
How many pennants and how many flags did they sell?Solution :-
Let us take that ,
→ number of flags sold = f
→ number of pennant sold = p
Money earned by selling flags
→ Money = $6 * f = $6f
Money earned by selling pennants
→ Money = $1*p = $1p
Total money earned
→ Total Money = $6f + $1p
Total items sold
→ Total items = f + p = 50 . . . . . (i)
According to the question ,
→ 6f + p = 115 . . . . . (ii)
Solving equations (i) and (ii) ,
On subtracting them ,
→ 6f - f = 115 -50
→ 5f = 65
→ f = 65/5
→ f = 13
Substitute this in equation (i) ,
→ 13 + p = 50
→ p = 50 -13 = 37
Hence they sold 13 flags and 37 pennants .
I hope this helps .
There are 26 seventh-grade students going to the big game against County Middle School. If 4 students can ride in one car, how many cars do they need?
Answer: 7 cars
Step-by-step explanation:
if you divide 26 and 4 it will get you 7
Which symbol replaces the box to make the statement true? 4. 16 – 16 04. [24 – 2. (4+8)] ( A
Answer:
More than sign as the first equation will give 40 whereas the second one is 0 so the first equation is larger
Therefore more than
HELP HOW DO I DO THIS
Answer:
x = 35°
Step-by-step explanation:
The three angles in a triangle add up to 180°.
The little square in the corner of one angle means that is a right angle and is 90°.
90° + 55° + x = 180°
145° + x = 180°
Subtract 145° from both sides.
x = 180° - 145°
x = 35°
I need help on this whole assignment
Answer:
21
Step-by-step explanation:
Answer:
21
Step-by-step explanation:
If you have more questions I can try and help
a one year subscription to the monthly magazine cost $ 15.60. The regular newsstand price is 1.95 per issue. How many is saved per issue by paying the subscription price
Answer: $0.65
Step-by-step explanation:
Amount for the magazine in a regular newsstand for one year:
1.95*12=$23.4
Amount saved per issue with subscription:
(23.4-15.60) ÷ 12 = $0.65 per issue is saved with a subscription
For which type of triangle below would a circumcircle whose diameter coincides with one
side of the triangle?
Answer:
right triangle
Step-by-step explanation:
A circumcircle of a polygon is a circle that passes through all the vertices of the polygon.
If the diameter of the circle is one side of the triangle, then the triangle is in the semicircle.
The angle at the circumference in a semicircle is a right angle.
Therefore, the answer is right triangle
20x + 6 What is the constant? Someone please answer, I need this so I can be free and go on my phone again :(
Answer:
Step-by-step explanation:
The constant is 6
Hope this helps!
Select the correct answer.
Vincent borrowed $500 from Mitchell for six months. How much interest will Mitchell earn if he charges Vincent a simple interest rate of 3 percent?
simple interest = P × r × t
A.
$7.50
B.
$15
C.
$75
Answer:
A
Step-by-step explanation:
I= PRT
[tex]simple \: interest = \frac{500 \times 3 \times 1}{100 \times 2} [/tex]
[tex] = \frac{1500}{200} [/tex]
=$7.50
C. Multiple Choice. Read each Item Carefully. Choose the letter of the correct answer then write it on the
space provided for. (Use figures 1, 2 and 3 for item #s 11-15.)
figure 1 figure 2 figure 3
___________11. What is the side corresponding to PO in ΔPOG ≅ ΔSOR (figure 1)?
A. OS B. RD C. RS D. SO
____________12. Name the congruent triangle illustrated in figure 1
A. ΔFOG ≅ ΔSOR B. ΔPOG ≅ ΔROS C. ΔROS ≅ GOS D. ΔPOR ≅ ΔGOS
____________13. What is the triangle congruence postulate used in figure 2 based on its marking.
A. SSS postulate B. ASA Postulate C. SAS Postulate D. AAA postulate
____________14. Based on the given marking in figure 3, what is the triangle congruence postulate is used in
describing triangle.
A. SSS postulate B. ASA Postulate C. SAS Postulate D. AAA postulate
___________15. In figure 3, If triangle ΔABC ≅ ΔXYZ. What is the congruent angle of ∠A?
A. ∠B B. ∠X C. ∠Z D. ∠B
Congruent triangles have congruent corresponding sides and angles, while similar triangles may or may not be congruent
Corresponding side of POThe congruence statement is given as:
ΔPOG ≅ ΔSOR
The above means that:
Points P, O and G correspond to the points S, O and R
Hence, the corresponding side of PO in ΔPOG ≅ ΔSOR is SO
The congruent trianglesThe congruence statement is given as:
ΔPOG ≅ ΔSOR
Hence, the congruent triangles are ΔPOG ≅ ΔROS
The congruent postulateIn figure 2, we have:
2 congruent sides, and 1 congruent angle between the congruent sides
Hence, the congruence postulate is SAS
Congruent anglesThe congruence statement is given as:
ΔABC ≅ ΔXYZ
The above means that:
Point A corresponds to the point X
Hence, the congruent angle of <A is <X
Read more about congruent triangles at:
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3x+12y=-8 in slope intercept form
Answer:
[tex]y=-\frac{1}{4}x - \frac{2}{3}[/tex]
Step-by-step explanation:
Hi there!
We are given the equation 3x + 12y = -8 and we want to convert it into slope-intercept form
The equation is currently in standard form, which is ax+by=c, where a, b, and c are free integer coefficients
Slope-intercept form is y=mx+b, where m is the slope and b is the y intercept
Notice that in standard form, the terms containing x and y are both on the same side, but in slope-intercept form, the expression is set equal to y (x is on the other side)
So first, we'll need to subtract 3x from both sides to remove it from the left side.
3x + 12y = -8
-3x -3x
_______________
12y=-3x-8
Now divide both sides by 12, since we want to isolate y by itself (it's a bit like solving the equation for y)
12y=-3x-8
÷12 ÷12
___________
y=-3/12x -8/12
We can simplify the fractions to get:
[tex]y=-\frac{1}{4}x - \frac{2}{3}[/tex]
This is our final answer.
Hope this helps!
If you would like a similar problem for practice, take a look here: https://brainly.com/question/11735196
A hand glider dives at 25 mph in a direction 60° below horizontal. What is the component form of the velocity vector?.
Velocity can be represented in horizontal and vertical components
The horizontal component form of the velocity is 12.5 mph
How to determine the component form of the velocityThe given parameters are:
Velocity = 25 mph
Angle = 60 degrees
The horizontal component form of the velocity is then calculated as:
[tex]v_x = 25 * \cos(60)[/tex]
Evaluate the product
[tex]v_x = 12.5[/tex]
Hence, the horizontal component form of the velocity is 12.5 mph
Read more about velocity at:
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Selena buys several shares of stock at $32 per share and sells them at $28. 32 per share. What is the percent of decrease in the price of the stock? 12. 0% 11. 5% 11. 0% 10. 5%.
The total percent of decrease in price of the shares of Selena's stock which Selena first buys and then sold is 11.5 percent.
What is percentage decrease?Percentage decrease in a number is the ratio of total decrease in the original value of a number to the decreased value in the percentage form.
Given information-
The total stock buy by the Selena in $32.
The total stock sold by the Selena in $28.32.
As the total stock buy by the Selena in $32, and the total stock sold by the Selena in $28.32. Thus the total decrease in the price of stock is,
[tex]C_s=32-28.32\\C_s=3.68[/tex]
Thus the total decrease in the price of stock is $3.68.
As the cost price of the stock is $32 and the total decrease in the price of stock is $3.68. Thus the total percent of decrease in the price of the stock is,
[tex]\Delta C_s=\dfrac{3.68}{32}\times100\\\Delta C_s=11.5[/tex]
Thus the total percent of decrease in the price of the stock is 11.5 percent.
Learn more about the percentage decrease here;
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Find the inverse of g(x)=1/x-1+2
Answer:
Find the inverse of g(x)=1/x-1+2 :
[tex]g^{-1} (x)=\frac{1}{x-1}[/tex]
Justin has a savings account.
-He started with $70 in his account.
-He deposits $15 into the account each week.
-Let 'b' represent the amount Justin has in the bank after 'w' weeks.
Which equation represents the total amount Justin will have in his account?
In parallelogram GRAM, m
Answer:
Step-by-step explanation:
Solve the following system of equations and show all work.
y = −x2 + 4
y = 2x + 1
Please please please please please help
Answer:
a) 1000000 grams
b) 1300000 grams
Step-by-step explanation:
a) 1000 x 1000 = 1000000 grams
b) 1.3 x 1000000 = 1300000 grams
hope this helps! :)
Answer:
it's 1,300,000 grams
Step-by-step explanation:
based on the rule
Triangle ABC is right triangle. The length of one leg is 80 centimeters, and the hypotenuse is 120 centimeters. What is the length, in centimeters, of the other leg?
The length of the other leg of the right triangle is; 89.44 centimetres
Right triangles and the Pythagoras theoremAccording to the question;
We are required to determine the length, in centimetres of the other leg of the right triangle.By the Pythagoras theorem;
Hyp² = Opp² + Adj²Hence, It follows that;
120² = 80² + X²x² = 14400-6400x² = 80,000Find the square root of both sides of the equation;
x = √80,000x = 89.44 centimeters
Read more on Pythagoras theorem;
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help!!!! please answer!!!
Answer:
116
Step-by-step explanation:
3 to the power of 4 is 81. 7x5 =35+81=116
PLEASE PLEASE HELP!!!!
Find the value of x.
6x°
60°
A. 20
B. 10
C. 15
D. 5
Answer:D
Step-by-step explanation:
D
Answer:
I think the answer is letter C.15
Correct me if im wrong
#Thank you
what is 1 + 1 and why? How do you know? Does it have multiple ways to answer it?
Answer:
2
Step-by-step explanation:
if you have one chip and add another chip then you have 2 chips
Hi! can someone help ASAP?? will mark brainliest! thanks!
Answer:
25 for the first one, not too sure though!
Step-by-step explanation:
not sure!
Help please! 50 points.
[tex]\qquad \qquad\huge \underline{\boxed{\sf Answer}}[/tex]
Here's the solution ~As we observe the points, we can conclude that :
Translation along x axis is ~
[tex]\qquad \sf \dashrightarrow \: 1 - ( - 3)[/tex]
[tex]\qquad \sf \dashrightarrow \:1 + 3[/tex]
[tex]\qquad \sf \dashrightarrow \:4 \: \: units \: \: towards \: \: left[/tex]
Translation along y axis ~
[tex]\qquad \sf \dashrightarrow \: - 8 - ( - 13)[/tex]
[tex]\qquad \sf \dashrightarrow \: - 8 + 13[/tex]
[tex]\qquad \sf \dashrightarrow \:5 \: \: units \: \: towards \: \: down[/tex]
So, same goes with translation of (-5 , 9)
[tex]\qquad \sf \dashrightarrow \: x \: \:coordinate = - 5 - 4 = - 9[/tex]
[tex]\qquad \sf \dashrightarrow \: y \: \:coordinate = 9 - 5 = 4[/tex]
So, the required coordinates of the image under same translation is ~
[tex]\qquad \sf \dashrightarrow \:(-9, 4)[/tex]
Answer:
Please help look at the image I need help with number 4. I already did the line plot for number 3 and the data in on the chart. Thank you! :)
Claudia school is selling tickets to a spring musical. On the first day of tickets sales the school sold 3 senior citizen tickets and 9 child tickets for a total of 75$ The school took in 67 on second day by selling 8 senior citizen tickets and 5 child tickets.what price each of one senior citizens ticket and one child ticket
Answer:
One senior citizen ticket costs 4 dollars and one child ticket costs 7 dollars
Step-by-step explanation:
Let x be the cost of a senior ticket and y be the cost of a child ticket then...
3x+9y=75
8x+5y=67
We can simplify the first equation by dividing everything by 3...
x+3y=25
Now, isolate x by subtracting 3y from both sides
x=25-3y
We can solve this system of equations using substitution (substitute 25-3y for x)...
8(25-3y)+5y=67
200-24y+5y=67
Combine like terms
-19y+200=67
Subtract 200 from both sides
-19y=-133
Divide both sides by -19
y=7
Plug 7 back in for y to solve for x
x=25-3(7)=25-21=4
One senior citizens ticket costs 4 dollars and one child ticket costs 7 dollars.
Which function has a domain of x greater-than-or-equal-to 5and a range of y less-than-or-equal-to 3?.
Function's domain is the set of values on which it is defined. One such function having domain x≥ 5 and range y ≤ 3 is: [tex]y = 3 - \sqrt{x-5}[/tex]
What is domain and range of a function?Domain is the set of values for which the given function is defined.Range is the set of all values which the given function can output.There can be actually infinite functions having same domain and range.
We need to find one function whose domain is x≥ 5 and range is y ≤ 3
Let the function be [tex]y = f(x)[/tex]
For keeping the function not defined for values of x < 5, we need to make such condition such that for values x < 5, the values of the function becomes undefined.
We can use some trick which keeps one sided interval undefined. One such function is the square root function which needs the input to be non-negative,
If we input x-5 to the square root function, then x can't go below 5, as square root of negative values is not defined(if not using complex numbers).
Thus, [tex]\sqrt{x-5}[/tex] is one part of f(x).
Next, we need the output to be limited by 3.
Since the quantity [tex]\sqrt{x-5}[/tex] is never negative, so 3 - [tex]\sqrt{x-5}[/tex] is never going to be bigger than 3.
Thus, [tex]y = 3 - \sqrt{x-5}[/tex] is one such needed function, having domain x≥ 5 and range y ≤ 3
Learn more about domain and range here:
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2 more than 5 times a number is greater than or equal to 3
Answer:
x >= 1/5
Step-by-step explanation:
2 + 5x >= 3
5x >= 1
x >= 1/5
Which one is it, I need help
Answer:
Their y-intercepts are equal
Step-by-step explanation:
The y-intercept is the y-value where the function crosses the y-axis. In this problem, functions are presented in 2 ways: algebraically and in a table.
1) Fortunately, the algebraic equation is written in slope-intercept form; this means that intercept is easy to find. The slope-intercept form is y=mx+b, where b is the y-intercept. In function 1, the b value is 10.
2) Another way to describe the y-intercept is the y-value when x=0. So, the y-intercept on a table is wherever the x-value is 0. In this case, the first row represents when x=0. The table says that when x=0, y=10. This means that the y-intercept for function 2 is 10.
Since the y-intercept for both of the functions is 10, it can be said that the 2 functions have equivalent y-intercepts.
A particular type of diet cola advertises that each can contains 12 ounces of the beverage. Each hour, a supervisor selects 10 cans at random, measures their contents, and computes a 95% confidence interval for the true mean volume. For one particular hour, the 95% confidence interval is 11.97 ounces to 12.05 ounces.
a. Does the confidence interval provide convincing evidence that the true mean volume is different than 12 ounces? Explain your answer.
b. Does the confidence interval provide convincing evidence that the true mean volume is 12 ounces? Explain your answer.
According to the given confidence interval, we have that:
a) Since 12 ounces is part of the confidence interval, the interval does not provide convincing evidence that the true mean volume is different than 12 ounces.
b) Since 12 ounces is part of the confidence interval, the interval provides convincing evidence that the true mean volume is 12 ounces.
What is the hypothesis tested?It is being tested if the true mean volume is different of 12 ounces, hence:
If the confidence interval contains 12 ounces, it provides convincing evidence that the true mean volume is 12 ounces.If the confidence interval does not contain 12 ounces, it provides convincing evidence that the true mean volume is not 12 ounces.In this problem, the interval is (11.97, 12.05), hence it provides convincing evidence that the true mean volume is 12 ounces, and basically, item a is False and item b is True.
You can learn more about confidence intervals at brainly.com/question/16236451
Only the king of math can solve this and will give them brainliest
Answer:
Let the base of the triangle = Xthen, X = 110 cos(32)then , h^2 = 110^2 - (110cos(32))^2then h = 58.3