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!
Which of the following represents the ratio of the short leg to the hypotenuse
in the right triangle shown below?
The ratio of the short leg to the hypotenuse of the given triangle is 1:2
What is triangle?A triangle is a polygon of three sides. In a right angled traingle we use some basic trigonometric formula. Depending upon the ratio of sides of triangle we use six trigonometric formulas.
The shorter leg of the triangle is =hypotenuse × cos60° .
[Use the formula cosθ=base/hypotenuse]
Therefore, the shorter leg= hypotenuse/2 [∵cos60°=1/2]
∴ (shorter leg)/(hypotenuse)=1/2
So, Shorter leg: Hypotenuse=1:2.
Hence the ratio of the shorter leg to the hypotenuse is 1:2.
To learn more about triangles click here:
https://brainly.com/question/24520052
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(NEED HELP PLS ANSWER GIVING 100 POINTS) Following my question of "If a student didn't turn an assignment in on the 27th of august, and the teacher deducted 10 percent each day. How much credit would they get if they turned it in on the 1st of September?" If the students current grade was a 41 F how higher would it get if they turned it in ( worth 40% of grade)
Answer: The student would get 70% credit.
The student’s overall grade would be
Step-by-step explanation:
Solve each equation 12x - 51 = 3(x + 7)
Answer:
x=8
Step-by-step explanation:
There are 24 hots and 14 hamburgers write the ratio of hotdogs and hamburgers
Answer:
12:7
Step-by-step explanation:
24 is the number of hotdogs and for very 24 hotdogs there are 14 hamburgers:
So it can be wirriten like this: 24:14
But we can simlify it further by dividing each side by 2.
24 / 2 : 14 / 2
12:7
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.
Solve: 3/2 ( 7x - 9 ) = 60
The mZ3=12x-30 and mZ1=8x-6. Find the value of x.
11. Kirk's goal was to save $300 for a trip. In the first week, Kirk saved $16 from his allowance and $54 from his job. He spent $5 for lunch one day and another $2 on the bus. The second week, Kirk saved $62 and another $41, but spent $2 for the bus and $4 for lunch.
A.How much money did Kirk save in the first week? Use integers to solve.
B.How much money did Kirk save after 2 weeks?
C.If Kirk saves $150 in the third week, but spends $8, will he reach his goal of saving $300? Explain.
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.
(r/s)(3)=
It’s a two part question, I’m to lazy to answer
Answer:
Step-by-step explanation:
Find the sizes of unknown angles
answer
z=50
x=50
y=50
a=130
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]
The product of two irrational number is always __-
Answer:
[tex]irrational \: or \: rational \\ for \: exmple \sqrt{2} \times \sqrt{2} = 2 \\ thnk \: you[/tex]
-3x-7(x+4) what is the answer
Answer:
-10x-28
Step-by-step explanation:
-
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
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
How many terms are in the expression shown?
2n+5-3p+4p
Answer:
4 terms
Step-by-step explanation:
The terms in the expression are unique in that they cannot be combined.
The 4 terms are
2n
+ 5
- 3p
+ 4p
I need help fast pls help me! (question is in the image)
Answer:
5.2
Step-by-step explanation:
3.7 - (-1.5)
3.7 + 1.5
5.2
Answer:
5.2
Step-by-step explanation:
maths
what is the first step that should be performed to find the value of this expression 120 - 15 x (30 - 6) + 12
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^_^
4(2x-3) < 8(x+1)
is the inequality always, sometimes, or never true?
Step-by-step explanation:
=8x-12 > 8x+8
=x -(-4)
=x> 4
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
Find the area and perimeter.
Hint: The height of a non-right triangle is the length of the segment of a line that is perpendicular to the base and that contains the opposite vertex.
A. 6x + 36; 10x + 3
B. 12x + 72; 10x + 3
C. 12x + 72; 3x + 10
D. 6x + 36; 3x + 10
Step-by-step explanation:
Perimeter = 12 + x + 6 + 2x + 5
Perimeter = 3x + 23.
Area = ½ × b × h
Area = ½ × 12 × (x + 6)
Area = 6(x + 6)
Area = 6x + 36
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
You have cup of cocoa in your cupboard. A recipe for cookies calls for 1
cup of cocoa. How much cocoa would you have left if you made the cookies?
Answer:
None
Step-by-step explanation:
sorry don't know how to delete this
Hi! I'm happy to help!
The recipe calls for 1/4 of a cup of cocoa, and we have 5/6 of a cup.
We use subtraction to solve for the difference:
5/6-1/4
To solve for this, we need to find a common denominator. We do this by finding the least common multiple of the two denominators we already have.
The least common multiple is 12, because that is the lowest number that both 6 and 4 are factors of.
We multiplied the 6 by 2 to get twelve, so, to make it equivalent, we have to multiply the 5 by 2 also.
10/12-1/4
Now, since we multiplied the 4 by 3 to get twelve, we need to do the same to the 1.
10/12-3/12
You never subtract denominators, only numerators. Now, all we have to do is 10-3:
10/12-3/12=
7/12
So, you would have 7/12 cup of cocoa left over if you made the cookies.
I hope this was helpful, keep learning! :D
ASAP I need Answer .......
Answer:
[tex]auphy = (6 \: 9 \: 11) \\ ainter \: section \: phy = null \: set \\ thank \: you[/tex]
Indicate whether each equation is equivalent to this equation: 4x + 3 = 5/2x - 7
A. 4x = 5/2x - 4
B. 8x + 3 = 5x - 7
C. 4x = 5/2x - 10
Answer:y = 3 suh slid este ob cine este a, b și g au nevoie de acel kinfo pentru a termina
Step-by-step explanation:
some mosquito trying to go in my ear
buz buz
should be the right answer but im not sure
what is 2t+10t-6t equaled to
6t
Step-by-step explanation:
