Answer:
Let the number be x
half the number can be written as
x/2
then 5 less than half of the number can be written as
(x/2) - 5
The indoor climbing gym is a popular field trip destination. This year the senior class at High School A and the senior class at High School B both planned trips there. The senior class at High School A rented and filled 3 vans and 12 buses with 504 students. High School B rented and filled 2 vans and 4 buses with 184 students. Every van had the same number of students in it as did the buses. Find the number of students in each van and in each bus.
High school A: 3 vans + 12 buses = 504 students
High school B: 2 vans + 4 buses = 184 students
Multiply High school B by 1.5:
High school B: 3 vans + 6 buses = 276 students
Subtract High school B from High School A:
6 buses = 228 students
Divide students by buses:
Buses = 228 / 6 = 38 students per bus
Now solve for vans using high school A:
3 vans + 12(38 students per bus) = 504 students
Simplify:
3 vans + 456 students in buses = 504 students
Subtract students in buses from both sides:
3 vans = 48
Divide both sides by 3:
Vans = 16
Answer: vans = 16 students, buses = 38 students
what are the answers to these questions algebra 1
Answer:
Step-by-step explanation:
1: x=5
2: x=2
3: x = 3
4: x=5
5: x=3
6: x=4
7: x=37
Your job is 7.5 miles from home. One option is to take the back roads to work. That route is calculated for driving at an average speed of 30 miles per hour. How long will it take you to get to work this way?
Step-by-step explanation:
So if you are 7 and a half miles away, and you drive 30 miles per hour, you need to take 7.5 and divide it by it by 30 and you get 0.25, you then need to find what is a quarter (0.25) of 60 minutes, and you will find that it is 15 minutes.
So:
Answer:
The route will take 15 minutes to get to work taking the back roads.
Hope this helps!
if 5t=5 then t is what number
Answer:
1
Step-by-step explanation:
5t = 5
divide equation by 5 to get rid of it
t = 1
This is because 5t means "5 times t". The t is a placeholder for a number.
To solve for t, we divide both sides by 5
5t = 5
5t/5 = 5/5
t = 1
Note how 5t = 5 becomes 5*1 = 5 after replacing t with 1. Because 5*1 = 5 is a true statement, this helps confirm we have the correct answer.
ASAP I need Answer .......
Answer:
[tex]auphy = (6 \: 9 \: 11) \\ ainter \: section \: phy = null \: set \\ thank \: you[/tex]
The mZ3=12x-30 and mZ1=8x-6. Find the value of x.
Nine less than a number is -24.
Find the number.
number the resu
Answer:
-15
Step-by-step explanation:
the number is N
N - 9 = -24
N = -15
Answer:
the answer is 33
Step-by-step explanation:
-24 + 9 = -33
-all my digits are different
-my ones digit is 4 times my hundreds digit
- my thousands digit is a perfect square
-my ones digit is 3 more than my tens digit
what number am I?
all my digits are different
-my ones digit is 4 times my hundreds digit
- my thousands digit is a perfect square
-my ones digit is 3 more than my tens digit
what number am I?
One fifth of the square of a number. Equation
Answer:
[tex] = \frac{1}{5} {x}^{2} [/tex]
Write as a decimal:
Explain...
1 7/12
Answer:
1 7/12 = 1.58
Step-by-step explanation:
If you divide 7 by 12, you will get 0.583... If you add 1 in the ones, that'll be
1.583... or 1.58.
12−6=7+9
12
x
−
6
=
7
x
+
9
Answer:
calcula
Step-by-step explanation:
Which inequality represents all values of x for which the quotient below is
defined?
28(x-1) = 8x?
O A. x less than or equal to -1
B.x great than or equal to 1
O C. x> 1
O D. x<-1
You can re-write this quotient this way :
[tex]\frac{\sqrt{28(x-1)}}{\sqrt{8x^{2} }} = \sqrt{ \frac{28(x-1)}{8x^{2} } }\\[/tex]
What's inside the square root must be greater than or equal to 0, because the domain of the square root function is defined on R+ (which is [0,+∞))
In other word we must find x so that :
[tex]\frac{28(x-1)}{8x^{2}}\geq 0[/tex]
at the end we get
28(x-1) ≥ 0
28x - 28 ≥ 0
28x ≥ 28
x ≥ 1
So the answer is B, x ≥ 1
b+1/4=3/4 how do i answer this
Answer:
B=2/4
Step-by-step explanation:
Its very simple. 3/4-1/4=2/4.
Answer:
[tex]b=\frac{1}{2}[/tex]
Step-by-step explanation:
Calculate the difference
[tex]b=\frac{3}{4}-\frac{1}{4}[/tex]
Solution
[tex]b=\frac{1}{2}[/tex]
[tex]\sqrt{60} /\sqrt{5} (in radical form)[/tex]
[tex]2\sqrt{3}[/tex]
------------------------
Steps:
1st write out equation
[tex]\frac{\sqrt{60}}{\sqrt{5}} \\[/tex]
Second write the conjugant and multiply it.
[tex]\frac{\sqrt{60}}{\sqrt{5}} * \frac{\sqrt{5} }{\sqrt{5} }[/tex]
After multiplying you should get,
[tex]\frac{10\sqrt{3}}{5}[/tex]
now after simplifying you should get
[tex]2\sqrt{3}[/tex]
296 divide by 0.08 whats the answer plz answer, and show me how you did it plz
Answer:
Step-by-step explanation:
Ok so u can’t divide a decimal with a whole number so u have to move the decimal poin from the 8 twice so it’s on the other side of the 8 and then there shouldn’t be any zeros before the 8 now divide 296 by 8 and instead of leaving the whole number like that u have to add the decimal point to it. So it should look like this 296.00 and then u can divide which is 3,700 hope this helped <3
the fraction '' 20/40'' is the same as ___+____ which reduces to__
Step-by-step explanation:
20/40 is same as 20÷40 which reduces to 1/2.
if there was one hexagon, there would be 6 sides. if there were two hexagons, there would be 12 sides. how many sides would there be if there were 18 hexagons?
Answer: if 1 contains 6 sizes the 18 contains 18x 6 sides
108 sides
PLSSSSSSSSSSSSSSSSs Help me i have to send this to my math teacher before yk back to school starts
Q/ True or False
4. Ans ; False —> because
[tex] \frac{2 \times 3.5}{3 \times 3.5} = \frac{7}{10.5} [/tex]
Or; 2/3= 0.6 , 7/16= 0.43 so no equal
5. True —> because
[tex] \frac{5 \times 9.6}{15 \times 9.6} = \frac{48}{144} [/tex]
Or; 5/15=0.33 , 48/144 = 0.33 so equal
6. True —> because
[tex] \frac{12 \times 1.5}{28 \times 1.5} = \frac{18}{42} [/tex]
Or; 12/28=0.4285 , 18/42=0.4285 so equal
Q/ value " x "
7. Ans;
[tex] \frac{3}{6} = \frac{x}{8} \\ 6x = 8 \times 3 \\ 6x = 24 \\ x = \frac{24}{6} \\ x = 4[/tex]
8. Ans;
[tex] \frac{52}{x} = \frac{4}{1} \\ 4x = 52 \\ x = \frac{52}{4} \\ x = 13[/tex]
9. Ans;
[tex] \frac{15}{12} = \frac{10}{x} \\ 15x = 10 \times 12 \\ 15x = 120 \\ x = \frac{120}{15} \\ x = 8[/tex]
10. Ans;
[tex] \frac{18}{x} = \frac{2.4}{28} \\ 2.4x = 28 \times 18 \\ 2.4x = 504 \\ x = \frac{504}{2.4} \\ x = 210[/tex]
11.Ans;
[tex] \frac{3}{4} = \frac{x}{3.8} \\ 4x = 3.8 \times 3 \\ 4x = 11.4 \\ x = \frac{11.4}{4} \\ x = 2.85[/tex]
12. Ans;
[tex] \frac{x}{12} = \frac{2 \frac{1}{3} }{5} \\ \frac{x}{12} = \frac{ \frac{7}{3} }{5} \\ \\ \frac{x}{12} = \frac{7}{3} \div 5 \\ \\ \frac{x}{12} = \frac{7}{3} \times \frac{1}{5} \\ \\ \frac{x}{12} = \frac{7}{15} \\ \\ 15x = 12 \times 7 \\ 15x = 84 \\ \\ x = \frac{84}{15} \\ \\ x = 5.6[/tex]
Q/ Write each ratio
1.Ans;
[tex] \frac{30 \: ft}{60 \: ft} = \frac{30 \: ft \: \: \div 30}{60 \: ft \: \: \div 30} = \frac{1 \: ft}{2 \: ft} [/tex]
2. Ans;
[tex] \frac{45 \: mph}{25 \: mph} = \frac{45 \: mph \: \div }{25 \: mph \div 5} = \frac{4 \: mph}{5 \: mph} [/tex]
3. Ans;
[tex] \frac{6 \: min}{16 \: min} = \frac{6 \: min \: \div2 }{16 \: min \: \div 2} = \frac{3 \: min}{8 \: min} [/tex]
4. Ans;
[tex] \frac{300}{450} = \frac{300 \div 150}{450 \div 150} = \frac{2}{3} [/tex]
5. Ans;
[tex] \frac{48 \: gal}{14 \: min} = \frac{48 \: gal \div 2}{14 \: min \div 2} = \frac{24 \: gal}{7 \: min} [/tex]
6. Ans;
[tex] \frac{21 \: fem}{61 \:mal } = \frac{21 \: fem \div 3}{51 \:mal \div 3} = \frac{7 \: fem}{17 \: mal} [/tex]
7. Ans;
[tex] \frac{4.2}{36} = \frac{4.2 \div 12}{36 \div 12 \: pot} = \frac{0.35}{3 \: pot} [/tex]
8. Ans;
[tex] \frac{72 \: correct}{96 \: questions} = \frac{72 \: correct \div 24}{96 \: questions \div 24} = \frac{3 \: correct}{4 \: questions} [/tex]
Q/Find the unit rate
9.Ans;
[tex] \frac{1500 \: m}{6 \: s} = \frac{250 \: m}{1 \: s} [/tex]
10. Ans;
[tex] \frac{192 \: mil}{6 \: gal} = \frac{32 \: min}{1gal} [/tex]
11. Ans;
[tex] \frac{20 \: people}{5 \: cars} = \frac{4 \: people}{1 \: cars}[/tex]
12.Ans;
[tex] \frac{36}{4 \: lbs} = \frac{9}{1 \: lbs} [/tex]
I hope I helped you^_^
Choose a variable to isolate and what it is equal to in the system of equations below
Answer:
y=2x-3
Step-by-step explanation:
2x=y+3
2x-3=y
Determine whether the number is rational or irrational and round it to the nearest hundredth. - 3/7
Answer:
Yes, it's a rational number
Step-by-step explanation:
-3/7. It is a rational because. It can be written as p/q form. Where p/q are non zero number. And in decimal it would be -0.42
Answer:
-3/7 is a rational because as it can be written as p/q form where p/q are integers and q≠0.
-3/7 = -0.4285
To the nearest hundredth,
=> -0.43
The temperature outside changed from 91°F to 49°F over a period of six days. If the temperature changed by the same amount each day, what was the daily temperature change?
Answer:
Step-by-step explanation:
The temperature change in 6 days is 91 - 49 = 42 F
So the daily change is 42/6 = 7 F.
Find the distance between the points.
(3,3) and (3,-5)
Answer:
0, 8
Step-by-step explanation:
To find out a distance of these numbers, you shall find out how far each number is, preferably you can use a number line for this.
Solve: 3/2 ( 7x - 9 ) = 60
Is 9.2 a rational number or irrational explain with steps please
Answer:
Step-by-step explanation:
It is rational because it doesn't have infinite decimals
please someone answer please I will give brainliest
Answer:
fig 1 no
Step-by-step explanation:
cause one element of domain (a) has two element. on range
Answer
fig 1 no
Step-by-step explanation:
cause one element of domain (a) has two element. on range.
Plzzz at least hit thanks ??
Simplify the expression and write the result in standard form, a+bi
3 √-25 =
Answer:
[tex]3 + \sqrt{ - 25} = 3 + \sqrt{25} i\\ = 3 + 5i \\or \: \\ 3 \sqrt{ - 25} \\ = 3 \times 5i = 15i \\ thank \: you \\ [/tex]
A shirt was originally priced at $37. The store is having a 58% off sale. How much will you pay for the shirt after the discount (not including tax)?
Answer:
$15.54
Step-by-step explanation:
Discount
(37 x 58)/100 = $21.46
Final Price
37 - 21.46 = $15.54
The total amount of milk in a jug and a mug is T liters. If p ml of milk is taken from the mug to make pancakes, the amount of milk left in the mug will be half as much as that in the jug. Write an expression for the amount of milk, in liters, in the jug. Evaluate the expression if T = 2.5 and p = 250.
Answer:
Apart from PB&J and oatmeal, pancakes are the most popular (and best) breakfast meal. They’re nutritious, yummy and can be served with both salty and sweet flavors. But are they easy to make? The recipe may be simple, but there are many things we need to consider.
Step-by-step explanation:
-3x-7(x+4) what is the answer
Answer:
-10x-28
Step-by-step explanation:
-
HELP DUE IN 10 MINS!
Solve for x.
7/x - 5 = 5/x + 7
[tex]\\ \sf\longmapsto \dfrac{7}{x-5}=\dfrac{5}{x+7}[/tex]
[tex]\\ \sf\longmapsto 7(x+7)=5(x-5)[/tex]
[tex]\\ \sf\longmapsto 7x+49=5x-25[/tex]
[tex]\\ \sf\longmapsto 7x-5x=-25-49[/tex]
[tex]\\ \sf\longmapsto 2x=-74[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{-74}{2}[/tex]
[tex]\\ \sf\longmapsto x=-37[/tex]