He spent $22.5 on the student discount card.
This question is solved using proportions.
The cost of each card is of $1.50.
Paul bought 15 passes, that is, 15 cards.
Considering that he bought 15 cards, each for $1.50, his spending was of:
He spent $22.5 on the student discount card.
Question 4 of 10
What else would need to be congruent to show that ABC= AXYZ by SAS?
Answer:
D
Step-by-step explanation:
The correct answer is D. Answered by Gauthmath
degree and classification of 4x^2+32x+63?
nvm its quadratic trinomial
Answer:
Pertaining to the mathematical expression conveyed, the answer to such proposed interrogate is acknowledged as the following:
Degree: 2nd degree term.
Classification: Quadratic trionomial.
Step-by-step explanation:
Evaluating the Degree:
The degree is acknowledged as the predominating term adjacent to a base of a peculiar value that denotes the particular allocation within a polynomial.
4x^2 has the highest degree of 2.
32x has the degree of one, being that x individually is x^1.
Since polynomials are defined by the term in which obtains the greatest degree, ^2 is referred to as quadratic, whereas ^3 is cubic, ^4…
Classification Evaluation:
Such could be determined by evaluating for the quantity of terms present within the mathematical expression or statement.
4x^2 is the first term.
32x is the second term.
63 is the third term (considered a constant).
Thus, the correct answer is a quadratic trinomial.
*I hope this helps.
Find an equation of the line that is the perpendicular bisector of the line segment joining the points (6,2) and (18,6)
Answer:
y= -3x +40
Step-by-step explanation:
Properties of perpendicular bisector:
• perpendicular to the given line
• cuts through the center of the given line
The equation of a line can be written in the form of y=mx +c, where m is the gradient and c is the y -intercept.
Let's find the gradient of the given line first.
[tex]\boxed{gradient = \frac{y1 - y2}{x1 - x2} }[/tex]
Gradient of given line
[tex] = \frac{6 - 2}{18 - 6} [/tex]
[tex] = \frac{4}{12} [/tex]
[tex] = \frac{1}{3} [/tex]
The product of the gradients of perpendicular lines is -1.
m(⅓)= -1
m= -1(3)
m= -3
Substitute m= -3 into the equation:
y= -3x +c
To find the value of c, substitute a pair of coordinates in which the perpendicular bisector passes through into the equation. Since perpendicular bisectors passes through the center of the segment, we can find the point in which the perpendicular bisector passes through using the mid- point formula.
[tex]\boxed{midpoint = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )}[/tex]
Midpoint
[tex] = ( \frac{6 + 18}{2} , \frac{6 + 2}{2} )[/tex]
[tex] = ( \frac{24}{2} , \frac{8}{2} )[/tex]
[tex] = (12,4)[/tex]
y= -3x +c
when x= 12, y= 4,
4= -3(12) +c
4= -36 +c
c= 4 +36
c= 40
Thus, the equation of the perpendicular bisector is y= -3x +40.
A zookeeper perdiceted that the wight of a newborn lion would be 2.8 pounds when the zoo’s lion gave birth ,the newbor. Weight 3.5 pounds what is the zookeeper’s percent error ? Round to nerds err percent
Answer:
20%
Step-by-step explanation:
3.5 - 2.8 = 0.7
0.7 ÷ 3.5 = 0.2
0.2 × 100 = 20
The answer is 20%.
Hope this helped.
Answer:
predicted wight=2.8
Actual wight = 3.5 pounds
(3.5-2.8)/3.5
=0.7/3.5 × 100
=100/5=20%
Answer: 20%
OAmalOHopeO
The ratio of the side lengths of Rectangle A to Rectangle B is 3 to 7. What is the
ratio of their areas?
9514 1404 393
Answer:
9 : 49
Step-by-step explanation:
Assuming the rectangles are similar, the ratio of their areas is the square of the ratio of their side lengths.
sides ratio = 3 : 7
areas ratio = 3² : 7² = 9 : 49
help !!!! what’s the solution
Answer by any chance?❤️
Step-by-step explanation:
Question 2.[tex] \frac{ \frac{6}{7} }{ \frac{9}{14} } [/tex]
[tex] = \frac{6}{7} \times \frac{14}{9} [/tex]
[tex] = \frac{2}{1} \times \frac{2}{3} [/tex]
[tex] = \frac{4}{3} = 1 \frac{1}{3} (Ans) [/tex]
Question 3.[tex] \frac{18}{x} = \frac{6}{10} [/tex]
[By cross multiplication]
=> 18 × 10 = 6 × x
[tex] = > \frac{18 \times 10}{6} = x[/tex]
=> 3 × 10 = x
=> x = 30 (Ans)
What is the slope of the line that contains these points?
х
-1
0
1
2
y
10
18
26
34
slope:
Answer:
8.
Step-by-step explanation:
The slope =
difference in y coordinates of 2 points / difference in coordinates of corresponding x coordinates.
So taking the first 2 points:
The slope = (18-10) / 0 - (-1)
= 8/1
= 8.
This is confirmed by slope between the second and third points
slope = 26-18/ (1-0) = 8.
⅗ Write the numerator and denominator of each of the following rational numbers
Answer:
1 3 5 7 9 11
Step-by-step explanation:
same like this do the question the answer will come
Which of the following phrases should not be expressed using a negative number?
Answer:
its 1900 Bc. Because BC stand for before chirst
Step-by-step explanation:
pleaseee i need help!
2 questions in one pleasee 90 points!
Answer:
A the answer is A if you look at it .
Answer:
The first one is B) point D
The second one is D) (0,0)
Hope this helps!
btw, coordinates are in (x,y) form, so the other answer above me is wrong.
Match each shape to the number of lines of reflection that will reflect the shape onto itself. Drag the items on the left to the correct location on the right.
Answer:
rectangle- 2 lines of reflection
trapezoid- 0 lines of reflection
regular pentagon- 5 lines of reflection
square- 4 lines of reflection
Step-by-step explanation:
The angles in a triangle are represented by x, x+10, and x+50. What is the measure of the largest angle?
A.70 degrees
B.80 degrees
C.100 degrees
D.90 degrees
Given that,
The angles in a triangle are represented by x, x+10, and x+50.
We had to,
find the measure of the largest angle.
Let's start to solve,
→ x + (x+10) + (x+50) = 180°
→ x + x + x = 180° (-50 -10)
→ 3x = 180° -60
→ 3x = 120
→ x = 120/3
→ x = 40°
Then the value of x + 10,
→ x + 10
→ 40 + 10
→ 50°
Then the value of x + 50,
→ x + 50
→ 40 + 50
→ 90°
The measure of the largest angle is,
→ D. 90 degrees
Hence, option (D) is correct answer.
Step-by-step explanation:
good of you and good workings
What is y-3=3/4(x-5) in standard form?
Answer:
[tex]y-3=\frac{3}{4} (x-5)\\\\y-3=\frac{3}{4}x-\frac{3}{4}(5)\\\\y=\frac{3}{4} x+3-\frac{15}{4} \\\\y=\frac{3}{4} x+\frac{12}{4} -\frac{15}{4} \\\\y=\frac{3}{4} x-\frac{3}{4}[/tex]
Is this standard form? :\
Answer:
3x-4y=3
Step-by-step explanation:
Hi there!
We are given the equation y-3=[tex]\frac{3}{4}(x-5)[/tex], and we want to write it in standard form
Standard form is given as ax+by=c, where a, b, and c are integer coefficients, a CANNOT be 0 and CANNOT be negative, and b also CANNOT be 0
So let's expand the parentheses in the equation
Do the distributive property
y-3=[tex]\frac{3}{4}x-\frac{15}{4}[/tex]
Add 3 to both sides
y=[tex]\frac{3}{4}x-\frac{3}{4}[/tex]
We expanded the parentheses, but the equation is now in slope-intercept form (y=mx+b, where m is the slope and b is the y intercept)
Remember that we want it in standard form, which is ax+by=c
Subtract [tex]\frac{3}{4}x[/tex] from both sides
[tex]\frac{-3}{4}x+y=\frac{-3}{4}[/tex]
Remember that the coefficients of a, b, and c need to be integers, and also that a (the coefficient in front of x) CANNOT be negative
So multiply both sides by -4
[tex]-4(\frac{-3}{4}x+y)=-4(\frac{-3}{4})[/tex]
Distribute -4 to every number
[tex]-4(\frac{-3}{4}x)+-4(y)=-4(\frac{-3}{4})[/tex]
Multiply
[tex]\frac{12}{4}x-4y=\frac{12}{4}[/tex]
Simplify
3x-4y=3
There's the equation in standard form
Hope this helps!
Certify Completion Icon Tries remaining:2 A town recently dismissed 10 employees in order to meet their new budget reductions. The town had 7 employees over 50 years of age and 18 under 50. If the dismissed employees were selected at random, what is the probability that exactly 5 employees were over 50
Answer:
0.055 = 5.5% probability that exactly 5 employees were over 50.
Step-by-step explanation:
The employees are removed from the sample without replacement, which means that the hypergeometric distribution is used to solve this question.
Hypergeometric distribution:
The probability of x successes is given by the following formula:
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
In which:
x is the number of successes.
N is the size of the population.
n is the size of the sample.
k is the total number of desired outcomes.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
In this question:
7 + 18 = 25 employees, which means that [tex]N = 25[/tex]
7 over 50, which means that [tex]k = 7[/tex]
10 dismissed, which means that [tex]n = 10[/tex]
What is the probability that exactly 5 employees were over 50?
This is P(X = 5). So
[tex]P(X = x) = h(x,N,n,k) = \frac{C_{k,x}*C_{N-k,n-x}}{C_{N,n}}[/tex]
[tex]P(X = 5) = h(5,25,10,7) = \frac{C_{7,5}*C_{18,5}}{C_{25,10}} = 0.055[/tex]
0.055 = 5.5% probability that exactly 5 employees were over 50.
write the equation of a line of a line passing through the points (3,1) and (6,3).
Answer:
i think its 2 1
Step-by-step explanation:
Answer:
y =2/3x-1
Step-by-step explanation:
First find the slope
m = ( y2-y1)/(x2-x1)
= ( 3-1)/ (6-3)
= 2/3
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
y = 2/3x +b
Using a point
3 = 2/3(6)+b
3 = 4+b
3-4 =b
-1=b
y =2/3x-1
Find z such that 4.8% of the standard normal curve lies to the left of z. (Round your answer to two decimal places)
Answer:
The correct answer will be "-1.66".
Step-by-step explanation:
Let z₀ be,
[tex]P(z<z_0)=4.8 \ percent[/tex]
[tex]=0.048[/tex]
⇒ [tex]\Phi (z_0)=0.048[/tex]
Now,
⇒ [tex]\Phi (-1.6646)=0.048[/tex]
[tex]z_0=-1.6646[/tex]
[tex]\simeq -1.66[/tex]
Thus the above is the right answer.
Surds see attached 20 points
Answer:
[tex]5\sqrt{2} \\45[/tex]
Step-by-step explanation:
just multiply
Answer:
a) 5√2
b) 135
Step-by-step explanation:
√5·√10 is equivalent to √50, which in turn is equivalent to √25·√2, or 5√2.
√27·√75 can be simplified by factoring:
√3·√9·√3√25, or (because √3·√3 = 3):
(3)(9)(5) = 135
A formula for the normal systolic blood pressure for a man age A, measured in mmHg, is given as P=0.006A2−0.02A+120. Find the age of a man whose normal blood pressure measures 126 mmHg.
Round your answer to the nearest year.
Answer:
33 years
Step-by-step explanation:
Given the quadratic model :
P=0.006A2−0.02A+120
P = blood pressure ; A = Age
Given a blood pressure value of 126 mmHg ; the age, A will be ;
The equation becomes :
126 = 0.006A2−0.02A+120
0.006A² - 0.02A + 120 - 126 = 0
0.006A² - 0.02A - 6 = 0
Using the quadratic formula :
-b ± (√b²-4ac) / 2a
a = 0.006 ; b = - 0.02 ; c = - 6
Using calculator :
The roots are :
a = 33.333 or a = - 30
Age cannot be negative, hence, the age, A will be 33.333
Total the nearest year ; Age = 33 years
8x+15≤51 slove.PLEASE HELP MEEEEEEEEEEEEEEE
Answer:
x≤9/2
Step-by-step explanation:
8x+15≤51
Subtract 15
8x+15-15≤51-15
8x+≤36
Divide by 8
8x/8≤36/8
x≤9/2
a rectangle has an area of 186m2
one of the sides is 3m in length
work out the perimeter of the rectangle
seriously need help
Step-by-step explanation:
here is the ans
the perimeter= 130m
hope so this might help you
Ms. Patel has 24 students in her class. When she collected yesterday's homework, Ms. Patel found that 16 students completed the homework in
pencil and 8 students used a pen.
What is the probability that the first two assignments Ms. Patel collected were completed in pencil?
Answer:
Maybe
1/8 is the probability that the first two assignments Ms.patel collected were completed in pencil
Olivia used 22 inches of ribbon as a border around her scrapbook cover. Which of these rectangles could be the shape of her scrapbook cover?
Answer:
its the first square one that says "6 inch, 5 inch"
Step-by-step explanation:
Because 6+6=12 and 5+5=10, so 12+10=22
Answer:
6 and 5 inch
Step-by-step explanation:
Determine the volume of a sphere with a diameter of 5 inches.Use 3.14 for Pi, and round your answer to the nearest inch.
Answer:
[tex]{ \bf{formular : \: { \tt{volume = \frac{4}{3} \pi {r}^{3} }}}} \\ { \tt{volume = \frac{4}{3} \times 3.14 \times {( \frac{5}{2}) }^{3} }} \\ { \tt{volume = 65.4 \: cubic \: inches}}[/tex]
Answer:
65
Step-by-step explanation:
formula = 4/3 * 3.14* r^3
= 4/3 * 3.14 * 2.5^3 (radius is half of the diameter)
= 65.44985
rounded to 65
Two long jumpers competed in a world-class track meet. The first athlete jumped a distance of 28.65 feet, and the second athlete reached a distance of 24.25 feet.
Answer:
Step-by-step explanation:
first athlete =28.65
second athlete=24.25
the first athlete jump - second athlete jump
28.65-24.25
= 4.40
the first athlete long jump then the second athlete
The average electric bill for a small electric company is $72 for the month of April with a standard deviation of $6. If the amounts of the bills are normally distributed, find the probability that the mean of the bills for 15 randomly selected residents will be less than $75
Answer:
Hence the probability that the mean of their utility bills will be less than $75 = P(X < 75) is 0.9736.
Step-by-step explanation:
Now,
Population mean electric bill, [tex]\mu =[/tex] $72
Population standard deviation, [tex]\sigma =[/tex] $6
Standard error of the mean[tex]= \sigma / \sqrt{n} = 6 / \sqrt{15} = 1.5492[/tex]
The probability that the mean of their utility bills will be less than $75 = P(X < 75)
= P[Z < (75 - 72) / 1.5492]
= P[Z < 1.9365]
= 0.9736 (Using Z table)
What is the perpendicular height of a cone that has a base with a diameter of 14 cm and whose sides make an angle of 72 with the horizontal?
If a concrete mix contains 1-1/2 cubic feet of gravel, 1/2 cubic foot of water,
1 cubic foot of cement, and 2 cubic feet of sand, what percentage of the mix is
sand?
Answer:
The correct answer is "50%".
Step-by-step explanation:
The given values are:
Gravel,
= [tex](1-\frac{1}{2} )[/tex]
Water,
= [tex]\frac{1}{2}[/tex]
Cement,
= 1
Sand,
= 2
Now,
The total mixture will be:
= [tex]Gravel+Water+Cement+Sand[/tex]
By substituting the values, we get
= [tex](1-\frac{1}{2} )+\frac{1}{2} +1+2[/tex]
= [tex]\frac{1}{2} +\frac{1}{2} +1+2[/tex]
= [tex]4 \ cubic \ feet[/tex]
hence,
The percentage of sand will be:
= [tex]\frac{Sand}{Total}\times 100[/tex]
= [tex]\frac{2}{4}\times 100[/tex]
= [tex]50[/tex]%
Paul baked 208 brown loaves. If the ratio of white loaves to brown loaves is 3:2, how many loaves did he bake in total?
Paul baked 520
loaves.
The owner of a restaurant is placing an order for bread.
On Friday there were 300 customers in the restaurant and 100 bread rolls were served.
On Saturday he is expecting 540 customers.
What would be a good estimate of how many bread rolls should he order? I
Os 2021
A Exit
Back
✓ Mark Question
172.000
13 :
O atv
N
MacBook Air
Answer:
A. Total=520 loaves
B. Estimate= 180 rolls
Step-by-step explanation:
the length of each side of a triangle is in the ratio 4 : 5 : 9. the length of the longest side is 27cm. Find the perimeter of the triangle.
Answer:
54 cm
Step-by-step explanation:
27:9=3
4+5+9=18
3×18=54
