Answer:
25 questions.
Step-by-step explanation:
Correct answer = 18
The percent score of the correct answers is 72%.
Let there are x questions in the test. So,
According to the given condition,
[tex]72\%\ of\ x=18\\\\\dfrac{72}{100}x=18\\\\x=\dfrac{18\times 100}{72}\\\\x=25[/tex]
Hence, there were 25 questions in the geometry test.
Mr.Sawyer drove his car from his home to New York at the rate of 45mph and returned over the same road at the rate of 40mph. If his time returning exceeded his time going and his time returning?
Complete question :
Mr. Sawyer drove his car from his home to New York at the rate of 45 mph and returned over the same road at the rate of 40 mph. If his time returning exceeded his time going by 30 min, find his time going and his time returning.
Answer:
T1 = 4
T2 = 4.5
Step-by-step explanation:
Difference in time = 0.5 hour
Time = distance / speed
Let distance = d
Time, T1 = d / 45
Time, T2 = d / 40
d/40 - d /45 = 1/2
(45d - 40d) / 100 = 2
45d - 40d = 900
5d = 900
d = 180
T1 = 180 /45 = 4 hours
T2 = 180 / 40 = 4.5 hours
Tell whether the equation has one, zero, or infinitely many solutions.9(x − 3) + 15 = 9x − 11.
Answer:
Zero solutions; there are no variables and thus there are no solutions
Step-by-step explanation:
We start out with the equation 9 (x - 3) + 15 = 9x - 11
Which simplifies to 9x - 27 + 15 = 9x - 11
The 9x terms cancel each other out, and we're left with 15 - 27 = -11
And we end up with -12 = -11, which is not true.
This tells us that the equation has zero solutions, because no matter what value we substitute for x, the equation will not be true.
Answer:
No solution
Step-by-step explanation:
9(x-3)+15= 9x-11
9x-27+15=9x-11
-15 on both sides
9x-27=9x-26
add 26 on both sides
9x -1=9x
add 1 on both sides
9x=9x+1
divide 9 on both sides
x=x+1/9
No solution
Francis scores 3 more than 2 times the number of points that Ray scores. If r represents the number of points Ray scores, which expression represents the number of points Francis scores?
1. 5r
2.6r
3.2r+3
4.3r+2
Can someone help me find the area
Answer:
84
Step-by-step explanation:
8x6=48
2x4=8
4x7=28
48+28+8=84
help with circle measurements asap plzzzz
Answer:according to the formula of inscribed angle theorem
[tex]3x + 22 = \frac{1}{2 } \times 134[/tex]
[tex]3x + 22 = 67[/tex]
[tex]3x = 67 - 22[/tex]
[tex]3x = 45[/tex]
[tex]x = \frac{45}{3} [/tex]
[tex]x = 15[/tex]
The answer is 15 degrees
PLEASE HELP IT'S DUE IN 20 MINUTES!!!
In 2011, a professional climber scaled the outside of the Burj Khalifa, making it all the way to 828 meters (the highest point on which a person can stand) in 6 hours.
Answer:
276 meters in the first 2 hours
Step-by-step explanation:
Given that,
Professional climbers climb 828 meters in 6 hours.
Let us assume we need to find how far did they climb in the first 2 hours.
6 hours = 828 m
⇒ 1 hour = 138 m
So, in 2 hours,
2 hours = 138 × 2 m
= 276 m
So, the climber climb 276 meters in the first 2 hours
A boat traveled 150 miles downstream (with the current) and back (against the current). The trip downstream took 10 hours. The trip back took 30 hours. What is the speed of the boat (b) in still water? What is the speed of the current (c)?
Answer:
b= 10 miles/hr and c= 5 miles/hr
Step-by-step explanation:
Let it's downstream and upstream speed be d and u respectively
also speed of the boat be b and speed of stream be c.
as per question d = 150/10= 15 miles/hr
and, u= 150/30= 5 miles/hr
also we know d= b+c = 15.....i and u = b-c= 5....ii
solving i and ii we get b= 10 miles/hr and c= 5 miles/hr
[tex]\frac{2y+1}{3}[/tex]=[tex]\frac{y-2}{4}[/tex]
help I will give brainiest it will mean alot. find the scale factor
Answer:
Step-by-step explanation:
16:1
la adición de dos números es -17. Calcula el Numero Menor, si el mayor es -8
Step-by-step explanation:
At a recent breakfast, four friends paid for their own drinks and shared the cost of a bag of donuts. Joe's drink was $1.75. He paid a total of $3.20 for breakfast. How much did the bag of donuts cost?
Answer:
$5.80
Step-by-step explanation:
To answer, we must first subtract the toal cost Joe paid by the amount he paid for his drink, because ha paid for his drink separately. so:
3.20 - 1.75 = 1.45
And because there were a total of 4 friends, we mulitply the answer by 4:
1.45 * 4 = 5.8
So, the bag of donuts costed $5.80
Hope this helps :)
how could you represent the following scenarios of the graph ? Silvia has $5.50 in her piggy bank and earns $2
per chore she does at her house.
Answer:
We know that Silvia has $5.50 in her piggy bank, and she earns $2 per chore she does at her house.
So if she does x chores at her house, she will have:
y = f(x) = $2*x + $5.50
where y = her savings.
This is a linear relationship, to graph this, we need to evaluate the function in two different values of x so we can get two ordered pairs.
Then we graph the ordered pairs in the coordinate axis, and then we draw a line that passes through both points.
We can use the points given by x = 0.
y = f(0) = $2*0 + $5.50 = $5.50
Then we have the point (0, $5.50)
and if we use x = 1 we get:
y = f(1) = $2*1 + $5.50 = $7.50
Then we have the point (1, $7.50)
Now we just need to graph the points (0, $5.50) and (1, $7.50), and draw a line that passes through them.
The graph is shown below.
On a scale drawing 1cm represents 4 m.What length on the drawing would be used to represent 6.5 m
Answer:
1.6cm
Step-by-step explanation:
1cm=4m
=6.5m
6.5÷4=1.625 round it off to the nearest tenths=1.6
A membership at a yoga studio costs $35 per month. Write an equation for the cost of the membership, c, that you pay if you keep your membership for m months How much will you membership cost if you keep it for 20 months
Help Plz!!
What system is Y = 2x + 1 and Y = -2x + 5?
A. Consistent system
B. Dependent system
Answer:
consistent
Step-by-step explanation:
How long does it need to keep $600 in an account that pays 2.75% annual simple interest to earn $264?
Answer:
16 years
Step-by-step explanation:
Principal amount (P) = $600
Rate of interest (R) = 2.75%
Simple interest (S.I.) = $264
Let t denotes time period.
[tex]S.I.=\frac{PRT}{100}[/tex]
[tex]264=\frac{600(2.75)t}{100} \\\\t=\frac{264(100)}{600(2.75)}[/tex]
[tex]t=16[/tex] years.
Therefore,
interest of $264 will be earned in 16 years.
Two trains, Train A and Train B, weigh a total of 379 tons. Train A is heavier than Train B. The difference of their weights is 255 tons. What is the weight of each train?
Answer: A = 317
B = 61
Step-by-step explanation:
The following equation can be gotten from the question given. This will be:
A + B = 379 ........ i
A - B = 255 ........ ii
From equation i, make A the subject of the formula
A = 379 - B ...... iii
Put the value of A in iii into equation ii
A - B = 255
(379 - B) - B = 255
379 - B - B = 255
379 - 2B = 255
2B = 379-255
2B = 124
B = 124/2
B = 62 tons
Since A + B = 379
A + 62 = 379
A = 379 - 62
A = 317 tons
find the distance round to the nearest tenth (-8, -6) (-3,-2)
Answer:
[tex]\displaystyle d \approx 6.4[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Coordinates (x, y)Algebra II
Distance Formula: [tex]\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Step-by-step explanation:
Step 1: Define
Point (-8, -6)
Point (-3, -2)
Step 2: Find distance d
Simply plug in the 2 coordinates into the distance formula to find distance d
Substitute in points [Distance Formula]: [tex]\displaystyle d = \sqrt{(-3+8)^2+(-2+6)^2}[/tex][√Radical] (Parenthesis) Add: [tex]\displaystyle d = \sqrt{(5)^2+(4)^2}[/tex][√Radical] Evaluate exponents: [tex]\displaystyle d = \sqrt{25+16}[/tex][√Radical] Add: [tex]\displaystyle d = \sqrt{41}[/tex][√Radical] Evaluate: [tex]\displaystyle d = 6.40312[/tex]Round: [tex]\displaystyle d \approx 6.4[/tex]Answer:
6.4
Step-by-step explanation:
d=√((−3−(−8))^2+(−2−(−6))^2)
d=√((5)^2+(4)^2)
d=√(25+16)
d=√(41)
d=6.403124
d=6.4
Freddy’s savings account went from $520 to $321 after he purchased a new bike. What was the percent decrease?
Step-by-step explanation:
The bike cost $199 to get $199 you do a number line then label 520 then at the end label 321 so then you do -20 then -100 then -50 then -20 then -9. so now you add them up 20+100+50+20+9 which equals =199
so bike cost $199
then 520%×199= 1034.8
or 520%×321=1669.2
so the percentage is 1669.2 or 1034.8 probably 1669.2 but they bot count.
Write an inequality to represent a number is at most two".
Answer:
Step-by-step explanation:
X<= 2
Which is x is less than or equal to 2.
Answer:
[tex]n\leq 2[/tex]
Step-by-step explanation:
The width of a rectangular video game cartridge is 2 in. more than the length. The area is 16 in?.
Find the dimensions of the cartridge.
Equation:
Solution:
Which of the following functions represents an arithmetic sequence?
Of(n) 3"-4"
Of(n) 3-4
O fm) 374
O fin) - 34
Answer:
Step-by-step explanation:
The O is not part of the function.
f(n) = 3n-4 is an arithmetic sequence. The first term is -1 and the common difference is 3.
Please help, Thank you.
Answer:
It's all about the ratios of corresponding sides.
I'll do #6 for you.
x=13.33
Step-by-step explanation:
4/x=(4+3)/(x+=10) this is the ratio
4(x+10)=(3+4)(x)
4x+40=7x
4x-4x+40=7x-4x
3x=40
x=13.33
help me for brainlist
Answer:
72,000
Step-by-step explanation:
Anyone can help ? I have no clue what the answer maybe
What is the equation of a circle with a radius of 7 and centered at point (3, -4)? please help fast!
Answer:
Vertex (3, –4) r = 7
Step-by-step explanation:
[tex](x -3)^{2} + (y+4)^{2} = 49[/tex]
Hi, could someone help me with these two questions please? Thank you!
If triangle LMN is similar to triangle XYZ, then side LN corresponds to side
Answer:
The side it corresponds to is XZ
What is 193 + y ≥ 201.
Answer:
y≥ 8
Step-by-step explanation: