The total time for two game is 32 minutes. The time for each game can be determine using system equation.
The time for game is 10 minute and 22 minute respectively.
Given:
Total time to complete two game is 32 minutes.
Let [tex]x[/tex] is the time took to complete one game.
Write the system equation for the given condition.
[tex]\begin{aligned}\\ x+x+12=32\\2x=32-12\\x=10 \:\rm min\\\end{aligned}[/tex]
As per the question, one game took 12 minutes longer than other. So the time for second game is,
[tex]x+12=10+12=22 \:\rm minutes[/tex]
Thus, the time took to complete game is [tex]10\:\rm minutes[/tex] and [tex]22\:\rm minutes[/tex] respectively.
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how to solve triangle prisms
10 points---Help----Factor the expression completely.
-16x - 32
A.
-16(x - 2)
B.
-8(2x + 8)
C.
-8(2x - 8)
D.
-16(x + 2)
The bases of an isosceles trapezoid are represented by 4x and 2x. The height of the trapezoid is represented by (x − 6). Which polynomial expression BEST represents the area of the trapezoid?
A) 3x2 − 18x
B) 3x2 + 18x
C) 3x − 18
D) 6x2 + 36x
What is the missing number 200,188,152,80,8
Kateri draws a square. She wants to draw one line to draw one line to divide the square into 2 triangles. Is it possible for her to divide the square into 2 obtuse triangles? Explain
A square can be divided into two right-angled triangles with one line, but it can't be divided into two obtuse triangles because none of the angles in a square is more than 90 degrees.
Explanation:
No, it is not possible for Kateri to divide the square into two obtuse triangles by drawing just one line. An obtuse triangle is a triangle that has an angle greater than 90 degrees. However, a square is made up of four 90-degree angles. Therefore, when a square is divided into two triangles with one line, the maximum degrees any angle in resulting triangles would get is 90, hence they would be right-angled triangles and not obtuse triangles.
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A triangle can be formed with side lengths 3 in, 5 in, and 9 in. (5 points) True False
Answer:
its false, i did the test
Step-by-step explanation:
What fraction of this model,in simplest form,is shaded?u
Answer:2/10 is equal to
any even number has to have a half like 2 4 6 8
2 is half of 4 1 is half of 2 4 is half of 8 and so on
the fractiom is shaded into 2/10
5/10
your wecs :0 ;)
Miranda brought 24 cookies to share with her class. Two-thirds of the cookies are chocolate chip. How many are chocolate chip?
HELP PLLZZZZZZZZZZZZZZZZZZZ
Find the volume for a sphere with a radius of 7 cm. ROUND TO THE NEAREST WHOLE NUMBER
A.)307cm^3
B.)1,436 cm^3
C.)1,020cm^3
D.)615cm^3
Find the radius of a sphere with a surface area of 804 cm^2
A.) 9cm
B.)8cm
C.)64cm
D.)204cm
Answer:
im sorry i dont get it
Step-by-step explanation:
since y+y=y^2 also they following
Choose the correct simplification of d to the 7th power times g to the 13th power all over d to the 2nd power times g to the 7th power.
d9g20
1 over d to the 5th power times g to the 6th power
1 over d to the 9th power times g to the 20th power
d5g6
Answer:
Option 4
Step-by-step explanation:
Given : d to the 7th power times g to the 13th power all over d to the 2nd power times g to the 7th power.
To find : The correct simplification
Solution :
d to the 7th power = [tex]d^7[/tex]
g to the 13th power = [tex]g^{13}[/tex]
d to the 7th power times g to the 13th power = [tex]d^7\times g^{13}[/tex]
d to the 2nd power = [tex]d^2[/tex]
g to the 7th power = [tex]g^7[/tex]
d to the 2nd power times g to the 7th power = [tex]d^2\times g^{7}[/tex]
According to question,
d to the 7th power times g to the 13th power all over d to the 2nd power times g to the 7th power.
[tex]=\frac{d^7\times g^{13}}{d^2\times g^7}[/tex]
[tex]=d^{7-2}\times g^{13-7}[/tex]
[tex]=d^{5}\times g^{6}[/tex]
Therefore, Option 4 is correct.
A skyscraper with 103 floors is 1133 feet tall. Each floor is the same height. How tall is each floor
how to memorize my timetables
To memorize your timetables, you can use mnemonic techniques, break down the tables into smaller chunks, and practice regularly.
Explanation:Multiplication tables, also known as timetables, can be challenging to memorize. However, there are several strategies that you can use to make the process easier. One effective method is to create mnemonics, which are memory aids that help you associate numbers with images or phrases. For example, you can associate the number 9 with the shape of a cat's tail, and whenever you see the number 9 in a multiplication problem, you can visualize a cat's tail to help you remember the answer.
Another useful strategy is to break down the tables into smaller, more manageable chunks. Start by memorizing the tables for numbers 0-5, and once you feel comfortable with them, move on to the tables for numbers 6-10. By tackling smaller chunks, you can avoid overwhelming yourself and improve your retention.
Finally, practice regularly and consistently. The more you review the timetables, the more familiar they will become. Consider using online resources, flashcards, or interactive games to make the practice sessions more engaging and enjoyable. Over time, with practice and perseverance, you will gradually memorize your timetables.
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You bring 18oz of shampoo for 3.99 or 24oz for 5.99 WICh is the better buy explain
Final answer:
To decide the better purchase between two sizes of shampoo, the cost per ounce is calculated, showing that the 18oz option at $0.22 per ounce is more economical than the 24oz option at $0.25 per ounce.
Explanation:
To determine which shampoo option is the better buy, we calculate the cost per ounce for each option. Cost per ounce is calculated by dividing the total cost of the product by the total number of ounces.
For the 18oz shampoo at $3.99, cost per ounce = $3.99 / 18oz = $0.22 per ounce.
For the 24oz shampoo at $5.99, cost per ounce = $5.99 / 24oz = $0.25 per ounce.
The 18oz shampoo at $0.22 per ounce is the better buy compared to the 24oz shampoo at $0.25 per ounce because you are paying less per ounce.
A rectangular dog kennel has a length of 7 feet and a width of 5feet what is the perimeter of the bottom of the dog kennel
Grace saw 16 bird habitats at the zoo's aviary. The sign said each habitat had 12 birds.How many birds were in all?
Pat and Julie share some money in the ratio 2:5 Julie gets £45 more than pat how much money did pat get?
Final answer:
By setting up an equation based on the given ratio 2:5 and the additional information that Julie receives £45 more than Pat, we find that Pat received £30.
Explanation:
The question deals with understanding ratios and how they can be used to solve problems involving sharing amounts in specified proportions. Pat and Julie share some money in the ratio 2:5, and it's given that Julie gets £45 more than Pat. To approach this problem, let's designate the amount Pat receives as 2x and the amount Julie receives as 5x, where x is a common multiplier.
It is stated that Julie gets £45 more than Pat, which can be represented as 5x = 2x + 45.
Solving the equation for x gives us 3x = 45, hence x = 15.
To find out how much Pat received, we substitute x = 15 into 2x, giving us 2(15) = 30.
Therefore, Pat got £30.
Need help on this one
In a survey, 4 out of 7 people like Brand A better than Brand B. If 210 people were in the survey, how many people preferred Brand A? P.S this is a proportions question!
Answer: 120 people like brand A better
Step-by-step explanation:
Write the expression using only positive exponents. Assume no denominator equals zero. I will give brainliest!
Evaluate 42 ÷ (5 − 3). 2 8 16 32
If RSTW is a rhombus,what is the area of WXT
Since RSTW is a rhombus, the area of ∆WXT is equal to 18√3 square units.
In Mathematics and Geometry, the length of the hypotenuse (longest side) of a 30°-60°-90° triangle is double (twice) the length of the shorter leg (adjacent side), and the length of the longer leg (opposite side) of a 30°-60°-90° triangle is √3 times the length of the shorter leg (adjacent side):
Hypotenuse = 12 units.
Adjacent side = 12/2 = 6 units.
For the value of x, we have;
Opposite side = √3 × adjacent side
x = √3 × 6
x = 6√3 units.
Now, we can determine the area of triangle WXT;
Area of triangle = 1/2 × base × height
Area of ∆WXT = 1/2 × XT × WX
Area of ∆WXT = 1/2 × 6 × 6√3
Area of ∆WXT = 18√3 square units.
Complete Question:
If RSTW is a rhombus, what is the area of ∆WXT?
a local hamburger shop sold a combined total of 757 hamburgers and cheeseburgers on Sunday. There were 57 more cheeseburger sold than hamburgers. How many hamburgers were sold on Sunday?
A line with a slope of 3/2 passes through (4,-1). Write the equation.
we know that
the equation of the line in the form point-slope is equal to
[tex]y-y1=m*(x-x1)[/tex]
in this problem we have
[tex]point(4,-1)\\\\m=\frac{3}{2}[/tex]
Substitute the values
[tex]y+1=\frac{3}{2}*(x-4)[/tex]
[tex]y=\frac{3}{2}x-6-1\\\\y=\frac{3}{2}x-7[/tex]
therefore
the answer is
[tex]y=\frac{3}{2}x-7[/tex]
(100 POINTS)
State the slope of Function A.
State the slope for Function B.
State an equation for a third linear function with a rate of change that is between the rates of change for Function A and Function B.
Explain how you know the function you created has a rate of change in between those of Function A and Function B.
The easiest option will definitely be:
x = 5 and y = y
Hope it helped,
Happy homework/ study/ exam!
Jessica has 5 members in the sewing club that she started. In order to get school sponsorship she must have at least 30 members. How many more members does she need? Write an inequality that models this situation.
A) 5 + x ≥ 30
B) 5 + x ≤ 30
C) 30 + x ≥ 5
D) 30 + x ≤ 5
what is the length of side YZ?
What is the volume of the rectangular prism, when the height is 10 1/2, the width is 2 3/4 and the base is 5?
A. 18 1/4
B. 28 7/8
C. 52 1/2
D. 144 3/8
13. The total debt to total assets of Cypress Corporation was 0.71. The total of Cypress's assets was $270,000. What's the amount of total debt?
A. $146,700
B. $461,700
C. $119,700
D. $191,700
5/8 of votes were blue,5/9 of remaining were for green and the remaining 48 votes were for red
There were [tex]\(38\)[/tex] votes for blue and [tex]\(13\)[/tex] votes for green.
Let's break it down step by step:
1. Votes for Blue:
Initially, [tex]\(5/8\)[/tex] of the votes were for blue. Let's denote the total number of votes as [tex]\(T\).[/tex]
So, the number of votes for blue initially is [tex]\(5/8\) of \(T\)[/tex], which is [tex]\((5/8) \times T\)[/tex].
2. Remaining votes after blue:
After blue votes are accounted for, the remaining votes are [tex]\(T - (5/8) \times T = (3/8) \times T\).[/tex]
3. Votes for Green:
[tex]\(5/9\)[/tex] of the remaining votes are for green. So, the number of votes for green is [tex]\((5/9) \times (3/8) \times T\)[/tex].
4. Votes for Red:
The remaining votes after blue and green are accounted for are 48 votes.
To find the solution, we need to set up equations based on the information given:
Equation 1: Votes for blue + Votes for green + Votes for red = Total votes
Equation 2: Votes for green = \(5/9\) of remaining votes
Equation 3: Votes for red = 48
Let's solve these equations:
Equation 1:
[tex]\[\frac{5}{8}T + \frac{5}{9} \times \frac{3}{8}T + 48 = T\][/tex]
Equation 2:
[tex]\[\frac{5}{9} \times \frac{3}{8}T = \frac{15}{72}T = \frac{5}{24}T\][/tex]
Now, let's substitute the value of [tex]\(T\)[/tex] from Equation 3 into Equation 1:
[tex]\[\frac{5}{8} \times \frac{48}{5} + \frac{5}{9} \times \frac{3}{8} \times \frac{48}{5} + 48 = \frac{48}{8} + \frac{15}{24} \times \frac{48}{5} + 48 = 6 + 3 \times 2 + 48 = 60\][/tex]
So, we have [tex]\(T = 60\).[/tex]
Now, let's find the number of votes for blue and green:
Votes for blue:
[tex]\[\frac{5}{8} \times 60 = 37.5\][/tex]
Votes for green:
[tex]\[\frac{5}{24} \times 60 = 12.5\][/tex]
Since we can't have half votes, we round 37.5 to 38 and 12.5 to 13.
So, there were [tex]\(38\)[/tex] votes for blue and [tex]\(13\)[/tex] votes for green.
The correct question is:
5/8 of the votes were for blue. 5/9 of the remaining votes were for green and the remaining 48 votes were for red. How many votes were for blue? How many votes were for green?