[tex]Solution, 1\frac{7}{8}\cdot \frac{5}{6}=1\frac{9}{16}\quad \left(\mathrm{Decimal:\quad }\:1.5625\right)[/tex]
[tex]Steps:[/tex]
[tex]\mathrm{Convert\:mixed\:numbers\:to\:improper\:fractions}:\quad 1\frac{7}{8}=\frac{15}{8}, =\frac{15}{8}\cdot \frac{5}{6}[/tex]
[tex]\mathrm{Cross-cancel\:common\:factor:}\:3, =\frac{5}{8}\cdot \frac{5}{2}[/tex]
[tex]\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}, =\frac{5\cdot \:5}{8\cdot \:2}[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:5\cdot \:5=25, =\frac{25}{8\cdot \:2}[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:8\cdot \:2=16, =\frac{25}{16}[/tex]
[tex]\mathrm{Convert\:improper\:fractions\:to\:mixed\:numbers}:\quad \frac{25}{16}=1\frac{9}{16}, =1\frac{9}{16}[/tex]
Hope this helps!!!
PLZZZZZZZZZZZZ HELP ASAP FIRST ONE TO ANSWER WILL GET BRAINLYEST!!!!!!!!!!!!!!!!!!!!!!Find the yx ratio in each table.
Table A
x y
4 5
8 10
16 20
Table B
x y
8 6
12 9
20 15
Enter your ratios in the boxes in simplest form.
25,
Table A yx ratio = ?
Table B yx ratio = ?
Answer:
so depending if you want x to y ratio or y to x switch the lowe numbers around.
Step-by-step explanation:
table A is 5/4
Table B is 3/4
Just divide the y and x to get the ratio.
Question 2 need to do a ratio table
Answer: It would take Tanya 15 minutes to run 2 kilometers
Answer: 15 minutes
Step-by-step explanation: This is true because:
If Tanya can run 8 kilometers in an hour (60 minutes) and you need to find how long it takes for her to run 2 kilometers there are two ways you can solve this:
#1: You find the unit rate (how long it takes Tanya to run 1 kilometer).
This would be written as 8 kilometers divided by 60 minutes. Once you do that math, you should get 7 1/2 minutes for one kilometer. However, since she is running 2 kilometers, you would multiply 7 1/2 by 2 to get your answer, which is 15 minutes.
#2: You set up a proportion to solve this problem:
This would be written as:
8/60 == 2/x, where the numerator of each fraction is the number of kilometers ran, the denominator is how long it took to run that distance, and x is the amount of minutes it took Tanya to run 2 kilometers. If you cross multiplied, you would get the following equation:
8x=120.
To get x by itself, you would divide both sides by 8; 8x/8 is x, and 120/8 is 15, getting you an answer of x=15, or 15 minutes.
What are the ordered pairs of a line whose slope is 5, the y intercept is 3, the rise is 5, and the run is 1?
Emilio has 5 bag of birdseed.Each bag has about 28 ounces of birdseed.if he divides the birdseed equally into 3 containers about how much birdseed will he put in each containers.
PLEASE HELP!!!!WILL GIVE BRAINIEST TO WHOEVER ANSWERS
1. Suppose the path of a golf ball, in a chip shot from a small hill, follows the path graphed by the quadratic function ƒ(d) = –1.6d2 + 3.3d + 0.2 where d is the horizontal distance the ball travels, and ƒ(d) is the height, in meters, of the ball at d horizontal distance. Find the total horizontal distance the ball traveled while in the air.
A. 2.12 meters horizontally
B. 2.26 meters horizontally
C. 1.84 meters horizontally
D. 2.95 meters horizontally
2. Suppose the path of a golf ball, in a chip shot, follows the path graphed by the quadratic function ƒ(d) = –1.6d2 + 3.3d + 0.2 where d is the horizontal distance the ball travels, and ƒ(d) is the height, in meters, of the ball at d horizontal meters. Identify the domain and range that matches this situation.
A. Domain: [0,2.07] horizontal meters; range: [0, 1.72] vertical meters
B. Domain: [0,2.07] horizontal meters; range: [0, 1.72] vertical meters
C. Domain: [0,2.12] horizontal meters; range: [0, 1.90] vertical meters
D. Domain: [0,2.07] horizontal meters; range: [0, 1.72] vertical meters
1. First calculate the positive root of the quadratic using your preferred formula. I got a solution [tex]d = 1/32 (33 + \sqrt{1217})=2.121...[/tex]. That gives you the distance the ball traveled from d=0 (small hill). So the answer is A.
2. The domain is [0,2.121...]. The range is from 0 to the max height. The d for which the ball is the highest is given by the formula x = -b / 2a = -3.3/(-3.2) = 1.031... so the max is 1.902... So the range is [0,1.902...] So the answer is C.
Veronica brought her turtle out of its aquarium for 15 minutes every night for 7 days how many total minutes did she bring her turtle out of his aquarium write another scenario that uses the same numbersVeronica brought her turtle out of its aquarium for 15 minutes every night for 7 days. How many total minutes did she bring her turtle out of his aquarium? Type an scenario that uses the same numbers
Total of 105 minutes
An Hour and 5 mins
May has baby rabbits. She lets them roam outside freely every (7)days for 15 minutes
Find The Slope Of The Line.
A.) -3/4
B.) 4/3
C.) -4/3
D.) 3/4
(0,1) and (4, -2)
Slope = (1 + 2)/(0 - 4) = -3/4
Answer
A.) -3/4
The answer is D. 3/4 because
Slope= Rise/run= 3/4
distributive property 9(5j+7+4j)
just multiply them all by 9, so the answer would be
45j+63+36j
Hey!
Explanation
↓↓↓↓↓↓↓↓↓
First, simplify.
[tex]5j+7+4j[/tex]
Group like terms:
↓↓↓↓↓↓↓↓↓↓↓↓↓
[tex]5j+4j+7[/tex]
Second, add similar elements.
[tex]5j+4j=9j[/tex]
[tex]=9j+7[/tex]
[tex]=9(9j+7)[/tex]
And the answer is⇒⇒⇒⇒=9(9j+7)
Hope this helped!
Thank you for posting your question.
-Charlie
Convert 6 over 15 to a decimal.
The Answer is 0.4
My work:
6 / 15 = .4
Two plus the quotient of a number and 8 is the same as 16. Answer it as a equation
Answer:
2 + n / 8 = 16
Step-by-step explanation:
Multiply through by 8
2*8 + n = 16*8 Combine factors
16 + n = 128 Subtract 16 from both sides
16 - 16 + n = 128 - 16 Combine terms
n = 12
Your school’s football team scored 49 points your team score was 19 more than the opponent score s write and solve an equation to find the opponents score
Hello!
A way to write this problem as an equation can be seen as such (using s for the opponent's score)
[tex]49=s+19[/tex] or alternatively as [tex]s=49-19[/tex]
When you solve for s, we find that the opponent scored a total of 30 points during the football game.
Hope this helps.
what is 32x+16y+52 pls help me thx
Answer:I remember when I did this I suggest to look up what gcf means be ur supposed to identify it first then the other trash aka math
Step-by-step explanation:
pls help!! will give brainliest and 5star
How do I solve this??
In the previous video, you compared the two functions below.
f(x) = 1.2t g(x) = 1.2t-5
What did subtracting 5 in the exponent do to the function? Check all that apply.
It shifts the graph of f left 5 units.
It shifts the graph of f right 5 units.
It multiplies all the y-values by 5.
It divides all the y-values by 5.
It multiplies all the y-values by 1.25.
It divides all the y-values by 1.25.
Answer:
It shifts the graph of f right 5 units. It divides all the y-values by 1.25.Step-by-step explanation:
Subtracting 5 in the exponent of the function g(x) = 1.2t-5 shifts the graph of f(x) right 5 units, and it does not affect the y-values of the function.
Explanation:Subtracting 5 in the exponent of the function g(x) = 1.2t-5 shifts the graph of f(x) right 5 units. This is because the exponent determines the horizontal translation of the function. Adding or subtracting a constant value inside the exponent causes the function to shift right or left, respectively.
Furthermore, subtracting 5 in the exponent does not affect the y-values of the function. It only affects the x-values, specifically their positions on the x-axis.
Therefore, the correct statements are:
It shifts the graph of f right 5 units.It does not multiply or divide the y-values by any factor.Let's just get the right answer plz ppl
Answer:
[tex]\large\boxed{3xy^3}[/tex]
Step-by-step explanation:
[tex]\dfrac{9x^{-1}y^{-6}}{3x^{-2}y^{-9}}\qquad\text{use}\ \dfrac{a^n}{a^m}=a^{n-m}\\\\=3x^{-1-(-2)}y^{-6-(-9)}=3xy^3[/tex]
Matt is repairing a gate and needs to nail a brace diagonally to strengthen the posts. If the hieght of the post is 48 inches and there is 64 inches between posts, in inches, what should the length of the diagonal brace be on order to fit between the posts?
(a) 80 inches
(b) 42 inches
(c) 15 inches
(4) inches
We have to realize that the height of a post and the horizontal distance between the posts form a right angle. Then the diagonal that joins the highest point of a post and the lowest point of the other post is the hypotenuse of a right triangle. Then we can apply the Pythagorean theorem to calculate the length of this hypotenuse.
According to the Pythagorean theorem H² = P² + D² where H is the hypotenuse (diagonal) and P the height of a post (cathetus) and D the distance between posts (cathetus).
Since we know these values, we can replace them :
H² = (48inches)² + (64inches)² = 2,304inches² + 4,096inches² = 6,400inches²
H = [tex]\sqrt{6400inches^{2}}[/tex] = 80inches
Answer : (a) 80 inches
Hope this helps!
[tex]\textit{\textbf{Spymore}}[/tex]
The length of the diagonal brace should be 80 inches.
Explanation:To find the length of the diagonal brace, we can use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In this case, the height of the post and the length between the two posts are the two sides of the right triangle. We can use the equation 48^2 + 64^2 = c^2, where c represents the length of the diagonal brace. Solving for c gives us c = sqrt(48^2 + 64^2) = 80 inches. Therefore, the length of the diagonal brace should be 80 inches.
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You have a spanish club meeting every fourth day and math club meeting every tenth day. Today you have both meetings. In how many days will you have both meetings on the same day again?
I believe in 20 days. We have to think about a number both 4 and 10 go into. The 1st number they both go into is 20. Hope it helps
Write the equation of the line that passes through the points (-1,2) and (6,3) in slope intercept form
Answer:
[tex]y =\frac{x}{7} +\frac{15}{7}[/tex]
Step-by-step explanation:
Given that the line passes through two points (-1,2) and (6,3)
Slope of the line passing through (x1,y1) and (x2,y2) is
[tex]\frac{y2-y1}{x2-x1}[/tex]
Hence slope of our line =
(3-2)/(6+1) = 1/7
So in slope intercept form the equation would be
y = 1/7 x +C
to find C
Since (-1,2) lies on the line substitute these in the line equation
2 = 1/7(-1)+c
C = 2+1/7 = 15/7
Hence equation in slope intercept form is
[tex]y =\frac{x}{7} +\frac{15}{7}[/tex]
The equation of the line that passes through the points (-1,2) and (6,3) in slope intercept form is y = 1/7x + 15/7.
Explanation:The question is asking for the equation of a line passing through two given points in slope-intercept form. The slope-intercept form of a linear equation is y = mx + b, where m represents the slope of the line and b is the y-intercept.
Firstly, to find the slope (m), you use the formula: m = (y2 - y1)/(x2 - x1). Substituting the given points into this formula: m = (3 - 2) / (6 - (-1)) = 1/7. Thus, the slope of the line is 1/7.
To then find the y-intercept (b), we substitute the slope and one of the points into the equation: 2 = 1/7 * (-1) + b. Solving for b, we find that b = 2 + 1/7 = 15/7.
So, the equation of the line that passes through the points (-1,2) and (6,3) in slope-intercept form is y = 1/7x + 15/7.
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Michael washes the Gomez family’s cars once a month they pay him $25 every 3 months for his work at this rate how much will Michael earn in one year ?
So you need to see how many times they get paid in a year. 12 months ÷ by every 3= 4. So then you multiply the $25 by 4. Which equals $100.
Final answer:
Michael will earn $100 in one year by washing the Gomez family's cars, as he is paid $25 every 3 months and there are 4 three-month periods in a year.
Explanation:
The question involves calculating how much Michael will earn in one year from washing the Gomez family's cars. Since Michael is paid $25 every 3 months, we first determine how many 3-month periods are in one year. There are 4 such periods in a year (12 months ÷ 3 months = 4). Therefore, Michael will earn $25 for each of these 4 periods.
To find the total amount Michael will earn in one year, we multiply the amount he earns every 3 months by the number of 3-month periods in a year:
$25 per period × 4 periods per year = $100 per year
Hypatia has read 13 chapters of a 22 chapter book. What percent of the chapters had she read ?
the answer to the question would be 59%
At a butcher shop, Hilda bought 4 17/20 lb of Beef and some pork. She left with 19 24/25 lb of meat. Express the number of pounds of pork she bought using a decimal
so Hilda bought ? lb of pork
SOMEONE HELP ME ON THIS ONE
Hilda bought 15.11 pounds of pork by subtracting the weight of the beef (4.85 pounds) from the total weight of meat she left with (19.96 pounds).
Explanation:To determine how many pounds of pork Hilda bought, we need to subtract the weight of the beef from the total weight of the meat she left with. First, convert the fractions to decimals. The weight of the beef is 4 17/20 pounds, and 17/20 as a decimal is 0.85, so the beef weight is 4.85 pounds.
The total weight of the meat Hilda left with is 19 24/25 pounds, and 24/25 as a decimal is 0.96, so the total weight is 19.96 pounds.
Next, subtract the weight of the beef from the total weight to find the weight of the pork:
19.96 - 4.85 = 15.11 pounds.
Therefore, Hilda bought 15.11 pounds of pork.
Final answer:
Hilda bought 15.11 lb of pork, found by converting the meat weights to decimals and subtracting the weight of the beef from the total weight of meat she left with.
Explanation:
To find out how many pounds of pork Hilda bought, we need to subtract the weight of the beef she bought from the total weight of the meat she left with. First, we convert the amounts of meat to decimal form for easier subtraction.
Hilda bought 4 17/20 lb of beef. To convert this to a decimal, we divide 17 by 20 and then add it to 4:
17 ÷ 20 = 0.85
4 + 0.85 = 4.85 lb of beef.
Hilda left with 19 24/25 lb of meat in total. To convert this to a decimal, we divide 24 by 25 and add it to 19:
24 ÷ 25 = 0.96
19 + 0.96 = 19.96 lb of meat in total.
To find the weight of the pork, we subtract the weight of the beef from the total weight of the meat:
19.96 lb (total meat) - 4.85 lb (beef) = 15.11 lb of pork.
So, Hilda bought 15.11 lb of pork.
Check all that apply
Answer: Choice A and choice C
The fractional exponent of 1/2 means that the root index is 2, which is a square root. So (13+8)^(1/2) becomes sqrt(13+8) = sqrt(21)
"sqrt" is a common abbreviation of "square root"
How do you find a unit rate?
Solve the example:
4/5 to 5/9
You find a unit rate by divide to fraction.
Ex:
4/5 x 9/5 = 36/25
_________
5/9 x 9/5= 45/45
36/25
______
1
=
36/25
Whole number example:
5 for every 6
5/1 x 1/6= 5/6
______________
6/1 x 1/6 = 6/6
6/6=1
5/6
________
1
=
5/6
Hello,
How do you find a unit rate?
"Divide both numbers by the denominator; your answer is the number you get by dividing the numerator by the denominator. "
Solve 4/5 to 5/9
Find common denominators:
4/5 = 36/45
5/9 = 25/45
Copy Dot Flip:
36/45 x 45/25
= 1575/1125
Divide:
1575 / 1125 = 1.4
Answer:
1.4
Given:MO−→− bisects ∠LMNm∠LMO = 6x−20m∠NMO = 2x+36Solve for x and find m∠LMN.
X=14
Plug it back into both angles add it together and LMN = 128 degrees
if the movie theater seats 328 people, what is the maximum amount of money the theater can bring?
328*12= 3936
$3936.00
The total money a theater can bring in is calculated by multiplying the number of seats by the price of a ticket. Without knowing the ticket price, a specific answer cannot be provided.
Explanation:To determine the maximum amount of money the movie theater can bring in, we need to know the price of a single ticket. For example, if each ticket costs $10, then the total amount of money possible would be 328 multiplied by $10 which equates to $3280. However, without knowing the cost of a ticket, we cannot give a specific answer.
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Marcus is buying CDs. They add up to $31 before tax. the sales tax rate where he lives is 5 percent. How much will his CDs cost including tax?
Order from least to greatest. -22.7, 126, 8.28, 3.28, -3.516, 43.9
-22.7, -3.516, 3.28, 8.28, 43.9, 126
Negatives that are closer to 0. Are considered higher than negatives that are farther away. Negative means less than like in subtraction.
Ursula is entering a bicycle race for charity. Her mother pledges $0.75 for every 0.5 mile she bikes. If Ursula bikes 17.5 miles, how much will her mother donate?
she will donate $26.25
The square of 9 less than a number is 3 less than the number. What is the number?
Answer:
The number is 12 or 7.
Step-by-step explanation:
According to question,
The square of 9 less than a number is 3 less than the number.
i.e. [tex](x - 9)^2 = x - 3[/tex]
Solving the equation,
[tex]x^2 - 18x + 81= x - 3[/tex]
[tex]x^2 - 19x + 84 = 0 [/tex]
[tex](x - 12)(x - 7) = 0 [/tex]
[tex](x - 12)=0,(x - 7) = 0 [/tex]
[tex]x=12,7 [/tex]
Therefore, The number is 12 or 7.