A right triangle has one leg with a length of 5 units. The hypotenuse is 30 units long. What is the length of the other leg?
A. 5 Units
B. 25 Units
C. V 875
D. V 375
Answer: C. [tex]\sqrt{875[/tex]
Step-by-step explanation:
use Pythagorean theorem [tex]a^{2}+b^{2}=c^{2}[/tex]
a=5 c=30 solve for b
[tex]25+b^2=900[/tex]
subtract 25 from both sides to get [tex]b^2 =875[/tex]
then square both sides to get [tex]\sqrt{875[/tex] for the length of the other leg
The table shows the relationship between the participants walking and running for the week's cross-country practices.
Walk (laps) 3 B 15
Run (laps) 5 10 D
Total (laps) A C 40
At this rate, how many laps will the participants walk if the total distance is 24 miles? How many miles will they run?
They will walk 7 laps and run 17 laps for a total of 24 miles.
They will walk 15 laps and run 9 laps for a total of 24 miles.
They will walk 9 laps and run 15 laps for a total of 24 miles.
They will walk 6 laps and run 18 laps for a total of 24 miles.
Answer: it was just the number of the 2 positive for the following number
Garth sells baseball caps outside the stadium. The graph shows the number of caps sold and the income from the sales. It represents a linear function.
Which statement best describes Garth's income from selling these caps?
A. He gets $5.00 per cap.
B. He gets $25.00 per cap.
C. He gets $34.00 per cap.
D. He gets $12.00 per cap.
how can you use a mental math and the inverse property of addition to find the sum [5.5 + (-2.3)] + (-5.5 + 2.3)?
Answer: it is 0
Step-by-step explanation:
[5.5+(-2.3)] + (-5.5+2.3)
We can multiple (-5.5+2.3) by -1 so that it equals the first expression
[5.5+(-2.3)] + (-1)[5.5+(-2.3)]
Then, we change the + to -
[5.5+(-2.3)] - [5.5+(-2.3)]
since we are subtracting the same value, the answer is 0.
7y+5z-2y+z
grade 7 math
Answer:
Step-by-step explanation:
7y+5z-2y+z
Group the two y and the two z together
7y-2y = 5y
5z+z= 6z
(a variable with out a number is = to 1)
so it would be 5y+6z
Hope this helps
Enter the correct sum in each box. Use the number line to help you.
(A) 4.6 + (–5.9)
_________
|_________|
(B) –4.4 + 6.2
_________
|_________|
(C) 2.1 + 0.5
_________
|_________|
(D) –3.8 + (–1.3)
_________
|_________|
Answer:
(A) 4.6 + (–5.9)
-1.3
(B) –4.4 + 6.2
1.8
(C) 2.1 + 0.5
2.6
(D) –3.8 + (–1.3)
-5.1
Find the quotient. 3 ÷ 2/5
Answer:
7 1/2
Step-by-step explanation:
Keep Change Flip
3 x 5/2
=15/2
=7 1/2
Hope this helps :)
Write a decimal ;twenty three hundredths
Answer:
0.23
Step-by-step explanation:
i know math
Please I need help w/ this question!
Answer:
Marissa did not change the direction of the inequality sign.
Step-by-step explanation:
Hello!
We can solve the inequality as well, and compare our steps to Marissa's to verify her steps.
Solve the inequality:[tex]-\frac x{12} > 7.8[/tex][tex](-12)\frac{x}{-12} > 7.8( -12)[/tex][tex]x < -93.6[/tex]We have the same number, but a different inequality sign. This is because we have to flip the inequality sign when multiplying and dividing by a negative number.
Therefore, the answer is the last option, Marissa has to flip the inequality sign when multiplying by a negative number.
Jess’s fish hook was 12 feet below the top of the water. He let out some of his line and the hook sunk another 3 feet. What is the depth of the fish hook now?
HELP ME PLEASE
The answer is 15
12 + 3 = 15
88 student said they watch TV everyday. This number represents 80% of the students body. What is the total number of students in the student body? And i need you to give me the part,whole,and percent
Answer:
The total number of students in the student body is 110. The part is 88 students, the whole is 110 students, and the percent is 80%.
Step-by-step explanation:
Solve the system of linear equations by elimination. Check your solutions.
-5x + 3y = -6
9x - 4y = 1
We can divide both sides of the equation by 43 to solve for x:
90x / 43 - 47y / 43 = -49 / 43
x = -49/43
We can substitute this value for x back into either of the original equations to find y. Let's substitute it into the first equation:
-5x + 3y = -6
(-5 * -49/43) + 3y = -6
y = (-6 + 5 * 49/43) / 3
y = 17/43
The solution to the system of equations is (x, y) = (-49/43, 17/43).
To check our solution, we can substitute the values we found for x and y back into the original equations and see if they hold true.
In the first equation, -5x + 3y = -6, substituting the values we found for x and y gives us:
(-5 * -49/43) + (3 * 17/43) = -6
This simplifies to -6 = -6, which is true, so the solution holds for this equation.
In the second equation, 9x - 4y = 1, substituting the values we found for x and y gives us:
(9 * -49/43) - (4 * 17/43) = 1
This simplifies to -1 = -1, which is true, so the solution holds for this equation as well.
Therefore, the solution (x, y) = (-49/43, 17/43) is correct.
PLEASE HELP! I WILL GIVE BRAINLY!! (if u troll ill report!)
A sports medicine major wanted to conduct an experiment to determine if there is a correlation between the members of the soccer team's leg strength and the time it takes for them to sprint 40 yards. He sets up the following test and records the data:
Answer:
Using linear interpolation on the interval [15,23] that would be
9.5 + (22-15)/(23-15) * (11.9-9.5) = 11.6
That is, since 22 is 7/8 of the way from 15 to 23, he should produce a value 7/8 of the way from 9.5 to 11.9
The correct answer is 11.9
I took the test, this is my third time answering this question.
I explained everything but all got erased, anyways the answer is 11.9
ALEKS: Teresa is ordering an ice cream dessert. She must order a size, a flavor of ice cream, and a topping. There are 2 sizes, 2 flavors, and 2 toppings to choose from. How many different ice cream desserts could she order?
Thanks!
(and just a heads up, I'm gonna be asking a whole lot of questions from ALEKS)
Answer:She could offer 8 different ice cream desserts
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
2 x 2 x 2 = 8
A box 2 m by 4 m by 8 m is filled with cubes of volume 8 cm³. If these
cubes were lined up, how long a line would that be?
The total line length of cubes lined up would be approximately 1.6 x 10^7 cm.
To find the total line length of cubes lined up, we need to find the total number of cubes in the box and then multiply it by the side length of a cube.
We can find the total number of cubes in the box by dividing the volume of the box by the volume of a cube:
Volume of the box = 2 m * 4 m * 8 m = 64 m³
Volume of a cube = 8 cm³ = 8 x 10^-6 m³ (converting the cm³ to m³)
Number of cubes = 64 m³ / 8 x 10^-6 m³ = 8 x 10^6
Then we can multiply the total number of cubes with the side length of a cube to find the total line length of cubes lined up :
Therefore, Line Length = 8 x 10^6 * 8 cm
= 6.4 x 10^7 cm
= 1.6 x 10^7 cm.
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pls help with the IQR
Answer: I believe the IQR could be 2.
Step-by-step explanation: 11 - 9 = 2.
It's been a while since I done this but i'm pretty positive this is right.
Julia's service charge at the salon was $72.60. If she added 20% for tip, how much did she pay total for her service at the salon?
well, is just that much plus the 20%, hmmm what's 20% of 72.60 anyway?
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{20\% of 72.60}}{\left( \cfrac{20}{100} \right)72.60}\implies 14.52~\hfill \underset{total~pay}{\stackrel{72.60~~ + ~~14.52}{\text{\LARGE 87.12}}}[/tex]
Select all ratios equivalent to 1:2 A. 10:20 B. 12:24 C. 8:16
Answer:
A, B, ad C
In order to find the ratio of something you must:
Add the parts of the ratio to find the total number of parts.
Find the value of each part of the ratio by dividing the number by the total number of parts calculated in step 1.
Multiply each part of the original ratio by the value of each part calculated in step 2.
Which store has the lowest cost per pound for hamburger? Name of Store Hamburger package sizes (lbs) Cost per package ($) Food King 8.0 pounds $40.00 Thrifty Mart 0.5 pounds $3.00 Shop More 5.0 pounds $35.00 Super Save 1.5 pounds $10.50
can anyone help me out with this?
Answer:
Q1-4 = Solutions are found in attachment; Q5 = 24; Q6 = 8; Q7 = 7; Q8 = 3; Q9 = 45; Q10 = 24; Q11 = 15; Q12 = 18; Q13 = 3, 6, 9, 12, 15; Q14 = 7, 14, 21, 28, 35; Q15 = 8, 16, 24, 32, 40
Step-by-step explanation:
Solution for 1 to 4 are shown in the graph in the attachment.
Bold = Answer
Equivalent fractions
5.
6/8 = x/32
32/8 = 4
x = 6 * 4 = 24
6.
4/6 = x/12
12/6 = 2
x = 4 * 2 = 8
7.
1/8 = x/56
56/8 = 7
x = 1 * 7 = 7
8.
9/12 = x/4
12/4 = 3
x = 9/3 = 3
9.
5/9 = 25/x
25 / 5 = 5
x = 9 * 5 = 45
10.
5/6 = 20/x
20 / 5 = 4
x = 6 * 4 = 24
11.
36/45 = 12/x
36/12 = 3
x = 45 / 3 = 15
12.
20/36 = 10/x
20/10 = 2
x = 36/2 = 18
Multiples
13.
3 * 1 = 3
3 * 2 = 6
3 * 3 = 9
3 * 4 = 12
3 * 5 = 15
3, 6, 9, 12, 15
14.
7 * 1 = 7
7 * 2 = 14
7 * 3 = 21
7 * 4 = 28
7 * 5 = 35
7, 14, 21, 28, 35
15.
8 * 1 = 8
8 * 2 = 16
8 * 3 = 24
8 * 4 = 32
8 * 5 = 40
8, 16, 24, 32, 40
i needd help with this answer
this is an 10 points but it gon say 50 bc yall are spliting
Answer:
we 10 points because you are vb and your classmate have 50 point because their bright
Answer:
I think it's A.
Step-by-step explanation:
Spheres have no faces, sides, or verticles. this saying/fact is from a website https://flexbooks.ck12.org/cbook/ck-12-middle-school-math-concepts-grade-7/section/10.1/primary/lesson/classification-of-solid-figures-msm7/#:~:text=A%20sphere%20is%20a%20solid%20figure%20that%20has,has%20one%20face%2C%20but%20no%20edges%20or%20vertices.
plsss help meee i need my grade to go up
Answer:
First column:
E: 35
i :51
A: 168
Y: 18
T: 140
E: 7
P: 19
Step-by-step explanation:
I used order of operations / PEMDAS (Parenthesis, Exponents, Multiplication, Division, Addition, and Subtraction), and plugged in the values for a, b, n, and m. For letter E, add and subtract the values first then divide, it's easier. That's all I got for now. I'll solve the rest and answer as soon as possible. :)
find rate of change AND initial value
Answer: (1,2) and or (-1.-2)
Step-by-step explanation:
if you look at the graph and go to a point that is on a corner of a square like (0.-4) you count all the squares tell you hit the next point just like the last
60+108b
I'm mad clueless:(
Answer:
168
Step-by-step explanation:
Find the lower quartile and upper quartile of the data set. 10, 11, 13,18,19,21,22,25,27,30,32
The lower quartile value is 13 and the upper quartile value is 27.
What is a Quartile?
A quartile divides the data set into four equal halves, that is, each set has an equal number of terms. The quartiles are given by Q₁(the lower quartile value), Q₂ (the median), Q₃ (the upper quartile value).
We first arrange the data set in ascending order. Here, the data set is already in ascending order, that is, 10,11,13,18,19,21,22,25,27,30,32.
So we will divide the above set into two equal halves. As the given set has 11 terms,
So the median is [tex]\frac{n+1}{2}[/tex] where n is the number of terms.
We have n=11
⇒ Median= [tex]\frac{11+1}{2}[/tex] th term
= 6th term
⇒ Median= 21
Now the data to the left side of the median value will give the lower quartile and the data to the right will give the upper quartile.
The data to the left of median value 21 is 10,11,13,18,19.
The median value of this data will give the lower quartile value.
Median = [tex]\frac{5+1}{2}[/tex]th term= 3rd term
=13
⇒Lower quartile is 13.
The data to the right of the median value 21 is 22,25,27,30,32
The median value of this data will give the upper quartile value.
Median = [tex]\frac{5+1}{2}[/tex]th term= 3rd term
= 27
⇒Upper quartile is 27.
The correct answer is lower quartile= 13, upper quartile = 27
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The chalk circle around the pitcher's mound has a diameter of 16 ft. What is the area of the pitcher's circle?
Answer:
The area is approximately 201.06
Step-by-step explanation:
If you use the equation pi r^2, then we will get the answer. Since the diameter is double the radius, we should know that the radius is 8ft. Then we do the math and get the answer above.
Answer: A≈201.06ft²
Step-by-step explanation:
How to Calculate Diameter?
Diameter = Circumference ÷ π (when the circumference is given)
Diameter = 2 × Radius (when the radius is given)
Diameter = 2√[Area/π] (when the area is given)
Out of 75 students, 45 students said that their favorite ice cream flavor was chocolates. what percentage of students like chocolate ice cream the best?
Answer: 60%
Step-by-step explanation: just do 45/75 and you get 0.6
Answer: 60
Step-by-step explanation:
multiply
Without computing, decide whether the value of each expression is much smaller than 1, close to 1, or much greater than 1
Answer: d
Step-by-step explanation:
it’s common sense add the 1 take ur cat to dinner and lake house horse shoe
Out of a class with 25 students, 24 of them returned their permission slips to go on the field trip. what percentage of the students returned their permission slips>
Answer: 96%
Step-by-step explanation: 24/25= 0.96
CREATE THE TABLE
a. you bring 200 cookies to a party. Let n represent the number of people at the party and c represent the number of cookies each person receives
b. you work at a restaurant for 20 hours. let r represent your hourly pay rate and p represent the total amount you earn
c. you are going on a 240-mile trip. Let t represent the number of hours driving and s represent the speed of the car
The expression for the following statements are,
a. c = 200/n.
b. p = 20r.
c. s×t = 240.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
a. From the information given the numerical form of the statement is,
c = 200/n.
b. From the information given the numerical form of the statement is,
p = 20r.
c. From the information given the numerical form of the statement is,
s×t = 240.
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