Given that,
A car uses a litre of petrol to travel 4 km.
To find,
How many litres will it use to travel 32 kilometres.
Solution,
We have,
1 litre = 4 km
or
1 km = (1/4) litre
Let it will use x litres to travel 32 km.
32 km = (32/4) litres
= 8 litres
Hence, 8 litres it will use to travel 32 km.
6. A thrift store in Bethesda, Maryland has a 15% off sale on pants. If the
original cost of the pants was $19. How much does Carmen save with the
discount on the pants? *
1 point
Your answer
Answer:
he saves $2.85
Step-by-step explanation:
What is the midpoint of the segment shown below?
Answer:
We conclude that the midpoint of the segment is:
[tex]\left(-\frac{9}{2},\:\frac{3}{2}\right)[/tex]Hence, option D is correct.
Step-by-step explanation:
Given the points
(-6, -1)(-3, 4)Finding the midpoint of the segment using the formula
[tex]\mathrm{Midpoint\:of\:}\left(x_1,\:y_1\right),\:\left(x_2,\:y_2\right):\quad \left(\frac{x_2+x_1}{2},\:\:\frac{y_2+y_1}{2}\right)[/tex]
[tex]\left(x_1,\:y_1\right)=\left(-3,\:4\right),\:\left(x_2,\:y_2\right)=\left(-6,\:-1\right)[/tex]
so
[tex]=\left(\frac{-6-3}{2},\:\frac{-1+4}{2}\right)[/tex]
[tex]=\left(-\frac{9}{2},\:\frac{3}{2}\right)[/tex]
Therefore, we conclude that the midpoint of the segment is:
[tex]\left(-\frac{9}{2},\:\frac{3}{2}\right)[/tex]Hence, option D is correct.
PLEASE HELP
This table models a linear function.
x -8 -4 4 8
y -1 0 2 3
Enter the coordinates of the y-intercept in the boxes.
Answer:
[tex](x,y) = (0,1)[/tex]
Step-by-step explanation:
Given
The above table
Required
Determine the coordinates of the y intercept
Represent points on the table as:
[tex](x_1,y_1) = (4,2)[/tex]
[tex](x_2,y_2) = (8,3)[/tex]
First, calculate slope (m):
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{3-2}{8 - 4}[/tex]
[tex]m = \frac{1}{4}[/tex]
For y intercept, the following coordinate point exist:
[tex](x_3,y_3) = (0,y)[/tex]
Because x = 0 at y intercept
Calculate the slope as:
[tex]m = \frac{y_3 - y_1}{x_3 - x_1}[/tex]
The equation becomes
[tex]\frac{1}{4} = \frac{y - 2}{0 - 4}[/tex]
[tex]\frac{1}{4} = \frac{y - 2}{- 4}[/tex]
Cross Multiply:
[tex]4(y-2) = -4 * 1[/tex]
Divide through by 4
[tex]y - 2 = -1 * 1[/tex]
[tex]y - 2 = -1[/tex]
Make y the subject:
[tex]y = 2-1[/tex]
[tex]y = 1[/tex]
Hence, the coordinates of the y intercept is:
[tex](x,y) = (0,1)[/tex]
Solve 3(4b – 2) = -6 + 12b
Answer:
All real numbers make his equation true.
Step-by-step explanation:
Macy’s is having a one-day 25% off special. If Bryan bought $110 worth of items, what would the final bill total after applying the discount of 25% and a sales tax of 6.5%? **Round to the nearest penny
Answer:87.86
Step-by-step explanation:
110x75/100=82.50
82.50x106.5/100=87.86
A type of rope weighs 4 ounces per inch.
What does it weigh in pounds per foot?
0.25 pounds per foot
64 pounds per foot
0.02 pounds per foot
3 pounds per foot
Answer:
Answer:3 pounds per foot
The required weight of the rope in pounds per foot is given as 3 pounds per foot.
Unit of measurement is defined as every entity having its measures in dimensions, weight, and time. Such as for length we have a meter, for liquid we have liters, and so on.
here,
As of the conversion of the unit,
45 ounces = 0.25 pound
12 inch = 1 foot
Weigh of rope, in 12-inch rope,
= 12 × 0.25
= 3 pounds per foot
Thus, the required weight of the rope in pounds per foot is given as 3 pounds per foot.
Learn more about measurement here:
brainly.com/question/12629581
#SPJ5
There are 1200 students at a school.
Each student has either a packed lunch or a school dinner.
62% of the students have school dinners.
55% of the students are girls.
45% of the girls have packed lunches.
How many boys have school dinners?
You must show all your working.
Answer:
The number of boys that have school dinners is 381.
Step-by-step explanation:
First, we need to find how many students have school dinners:
[tex] SD = 1200*0.62 = 744 [/tex]
The percent of girls that have school dinners:
[tex] \%SD_{g} = 100\% - 45\% = 55\% [/tex]
Now, we need to find the number of boys (b) and girls (g) at a school:
[tex] g = 1200*0.55 = 660 [/tex]
[tex]b=1200 - 660 = 540[/tex]
Hence. the percent of boys that have school dinners is given by:
[tex] SD = g*\%SD_{g} + b*\%SD_{b} [/tex]
[tex]\%SD_{b} = \frac{SD - g*\%SD_{g}}{b} = \frac{744 - 660*0.55}{540} = 0.706[/tex]
[tex] \%SD_{b} = 70.6\% [/tex]
Finally, the number of boys that have school dinners is:
[tex]B = 540*0.706 = 381[/tex]
Therefore, the number of boys that have school dinners is 381.
I hope it helps you!
the height of a shed is 6cm. a ladder leans agaisnt the shed with its base 4.5 m away, and its top just reaching the roof. what is the length of the ladder?
Answer:
4.5m
Step-by-step explanation:
The set up is a right angles triangle
Height of the shed = opposite side = 6cm
Distance of the ladder from the shed = adjacent = 4.5m
Lenght of the ladder = Hypotenuse = x
Using pythegoras theorem to find the length of the ladder
hyp² = opp²+adj²
hyp² = 0.06² + 4.5²
hyp²= 0.0036+20.25
hyp² = 20.2536
hyp = √20.2536
hyp = 4.50m
Hence the length of the ladder is 4.5m
Are the triangles similar
Answer:
Yes
Step-by-step explanation:
Can I get brainliest? It will help
Please answer this 7/8 - 6/7
Answer: [tex]\frac{1}{56}[/tex].
Step-by-step explanation:
First, we need to find a common denominator. Which is 56.
So the fraction for 7/8 will be [tex]\frac{49}{56}[/tex] and 6/7 will be [tex]\frac{48}{56}[/tex].
[tex]\frac{49}{56} - \frac{48}{56} = \frac{1}{56}[/tex].
So [tex]\frac{1}{56}[/tex].
HELP URGENT WILL GIVE BRAINLIEST
Answer:
Mu answer is 9/4 I am nor explain
A recipe calls for 1 and 1/3 cups of flour. If Yasmin decides to quadruple the recipe, how many cups of flour will she need?
A. 4 and 1/12
B 4 and 1/3
C 5 and 1/12
D 5 and 1/3
Answer:
20
Step-by-step explanation:
Assuming that is 3 1/3 C per batch.
(3 1/3)(6)
(10/3)(6)
(10)(2)
20
BRAINLIEST!!- Find 0.25of 40
Answer: 25% of 40 or 0.25 of 40 is 10.
Step-by-step explanation:
Basically you have to divide 40 by 10 because 1/4 of 100 is 25. 25 is 1/4 of 100.
So knowing this 40/0.25 is equal to 10. This is why 0.25 of 40 is 10.
someone please help
Answer:
b
Step-by-step explanation:
i dont kno lol
Contestants in the Run-and-Bike-a-thon
run for a specified length of time, then bike for a specified length of time. Jason ran at an average speed of 5.2 mi/h
and biked at an average speed of 20.8 mi/h,
going a total of 14.4 miles. Seth ran at an average speed of 10.4 mi/h and biked at an average speed of 18.2 mi/h,
going a total of 18 miles. For how long do contestants run and for how long do they bike? Round to the nearest hundredth if necessary.
Contestants run__hour and bike___hour.
Answer:
They ran for 0.923 hrs and biked for 0.46 hrs
Step-by-step explanation:
First thing to do is write down the inequality of the question
5.2x + 20.8y = 14.4
10.4x + 18.2y = 18
Multiplying the whole equation by 10, so as to eliminate the decimal places, we have.
52x + 208y = 144
104x + 182y = 180
Multiplying the first equation by 2, we have
104x + 416y = 288, next we solve it simultaneously with the second equation
104x + 416y = 288
104x + 182y = 180
Subtract 2 from 1, and we have..
416y - 182y = 288 - 180
234y = 108
y = 0.46
Now, we go back and substitute for y in the earlier equation, so that
52x + 208(0.46) = 144
52x + 95.68 = 144
52x = 144 - 95.68
52x = 48.32
x = 48.32/52
x = 0.929
Please help it’s a slope from graph
Answer:
[tex]\displaystyle m=1[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (-1, 0)
Point (0, 1)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute [SF]: [tex]\displaystyle m=\frac{1-0}{0+1}[/tex][Frac] Subtract/Add: [tex]\displaystyle m=\frac{1}{1}[/tex][Frac] Divide: [tex]\displaystyle m=1[/tex]Answer:
1
Step-by-step explanation:
To do this you just need to know the slope equation y2 - y1 over x2- x1 so if you plug in 2 coordinates you can do (0,1) and (-1,0) and when you plug it into the formula you get 1/1 which is 1 so the slope is 1
1. Identify the domain of the graphed function
i) If 12 men can do a piece of work in 72 days. In how many days will 24 men do the same work? *
i) Find the final amount to be paid to the bank if Rs. 7000 is borrowed for 4 years at a rate of 6 % per annum. *
2 points
Answer:
Question 1 answer is 144
Step-by-step explanation:
just multiply
Answer:
1. 36 days, 2. $8,680
Step-by-step explanation:
1. We know that 12 men can do the work in 72 days, so if you add double the men, it will take half the time. Half of 72 is 36, so our answer is 36 days.
2. If $7,000 is borrowed, that person owes $7,000 so far, but they keep it for 4 years with an annual interest rate of 6%. To solve this, we need to find 6% of 7,000. To do this, we multiply 7,000 by .06. That gets us 420. Now, we multiply 420 by 4. That gets us 1,680. Now, we add 1,680 and 7,000. That gets us 8,680. That means the final amount owed is $8,680.
the difference of a number s and 6
Answer: s-6
Step-by-step explanation:difference means subtract so that why there subtract sign. And you are trying to find the difference of s and 6 so you write s -6.
Hope it help and please give Brainliest if it did thanks ;)
Can you please help me for 2 questions
First question is...
Which of the inequalities or equations below are true?
a) |-15| < -10
b) |-15| < 10
c) |-15| = -15
c) |-15| > 10
d) none of the above
2nd question is...
Complete the equation: |10| =__
a) -10
b) 10
c) 1/10
d) none of the above
Answer:
see explanation
Step-by-step explanation:
1. c
2.b
Question 4
A
B
C
D
PLEASE HELP!!!
Answer:
B
Step-by-step explanation:
Can some PLEASE HELP ME I
Answer:
B
Step-by-step explanation:
because the equation when you get it is the number you divide with
Evaluate the expression below when x = 24 and y = 6.
4x8y
Answer:
96*48=4608
Step-by-step explanation:
4*24=96
6*8=48
am I right to think that this is multiplication
if not then use the 2 numbers and their sign whatever it may be.
determine the value of p if one root of equation x^2+px+1=0 is the square of other.
Answer:
-2
Step-by-step explanation:
Given equation is x²+px+1=0
comparing the equation with ax²+bx+c=0
then a=1,b=p,c=1
let the roots one root of the equation be A then
by question, another root is A².
we know
A(ALPHA)+A²(beta)=-b/a
A+A²=-p/1
A+A²=-p......1
again
A*A²=c/a
A³=1/1
A³=1
A=1
Now,
substituting A=1 in equation 1
1+1²=-p
2=-p
Therefore p=-2.
Which fractions are equivalent to Two-twelfths plus four-twelfths? Check all that apply.
Answer:
6/24
Step-by-step explanation:
Ms. Ledford wanted to cover the classroom with new carpet. If the length of the
classroom was 12 feet and the width was 8 feet. How much carpet would she need
to buy?
Answer:
96 ft^2
Step-by-step explanation:
12ft × 8ft to find area of classroom
96ft so Ms. Ledford has to buy 96 square feet of carpet
Answer:
96 ft^2
Step-by-step explanation:
Area = L x W
12 x 9=96
The question is above.
Answer:
h(11) = 101
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
h(t) = -20 + 11t
h(11) is t = 11
Step 2: Evaluate
Substitute: h(11) = -20 + 11(11)Multiply: h(11) = -20 + 121Add: h(11) = 101A pack of cinnamon-scented pencils sells for $7.00. What is the sales tax rate if the total cost of the pencils is $7.35?
Answer:
35 cents
Step-by-step explanation:
Find the coordinates of point B
Answer:
do u got a pic?
Step-by-step explanation:
Pls help I’m failing math
Answer:
The sale price is 57.12
Step-by-step explanation:
First find the markdown
markdown = original price * markdown percent
markdown = 84 *.32
markdown =26.88
Subtract the markdown from the original price
84- 26.88 =57.12
The sale price is 57.12