Question:
Jesse and Amir were assigned the same book to read. Jesse started reading on Saturday, and he is reading 30 pages a day. Amir didn't start until Sunday, but he is reading 35 pages a day.
How many days will it take Amir to catch up to Jesse, and how many pages will they each have read?
Write an equation to represent the number of pages Amir has read. Use x to represent the number of days Amir has been reading and y to represent the number of pages he has read.
Answer:
It will take 6 days
Step-by-step explanation:
For Jesse:
[tex]Rate = 30\ pages/day[/tex]
This implies that Jesse will cover 30y in y days
For Amir:
[tex]Rate = 35\ pages/day[/tex]
This implies that Amir will cover 35x in x days
Because Amir starts a day later,
[tex]y = x + 1[/tex]
So, we have the following equations:
[tex]Jesse = 30y[/tex]
[tex]Amir= 35x[/tex]
[tex]y = x + 1[/tex]
To get the number of days when they read the same number of pages, we have:
[tex]Jesse = Amir[/tex]
Substitute values for Jesse and Amir
[tex]30y = 35x[/tex]
Substitute x + 1 for y
[tex]30(x+1) = 35x[/tex]
Open bracket
[tex]30x+30 = 35x[/tex]
Collect Like Terms
[tex]30 = 35x-30x[/tex]
[tex]30 = 5x[/tex]
Solve for x
[tex]\frac{30}{5} = \frac{5x}{5}[/tex]
[tex]\frac{30}{5} = x[/tex]
[tex]6 = x[/tex]
[tex]x = 6[/tex]
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].
helpppppppppppppp plssssssssss
Answer:
a) 40%
b) 1400
c) 700
Step-by-step explanation:
Hope this helps! :3
Plz mark as Brainliest!
A value of 600 increases by 15%.
What is the new value?
Step 1 - change 15% to a decimal
Step 2 - multiply the decimal by 600
Step 3 - Add your answer from step 2 to 600 to get your answer.
Answer:
your steps are correct.
[tex]600 \times 15\% = 90 \\ new \: value = 600 + 90 \\ = 690[/tex]
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
What is the value of x in the equation (x + 12) = (x + 14) – 3?
I need HELPPPPPP PLEASEEEEEE!!!!!!!!~!!!!!!
Answer:
Starting from the left.
4 × 3
5 × 5
2 × 5
4 × 5
4 × 4
1.5 × 2
Step-by-step explanation:
Divide all dimensions by 8.
Give the domain and range of the relation.
Answer:
(a) D: {-5, 0, 4, 6}; R: {-9, 0, 9, 13}
Step-by-step explanation:
The domain is the list of values in the x-column.
The range is the list of values in the y-column.
It is useful, but not essential, that the values be listed in numerical order.
x-values are 4, 6, 0, -5, so we can say the domain is {-5, 0, 4, 6}
y-values are 9, 13, 0, -9, so we can say the range is {-9, 0, 9, 13}
Find the length of WZ
a. 25
b. 18
c. 9√2
d. 9
Answer:
18
Step-by-step explanation:
wz/18√2 = sin 45° = √2/2
wz = 18√2 x √2 / 2 = 18
HELP URGENT WILL GIVE BRAINLIEST
Answer:
Mu answer is 9/4 I am nor explain
HELP ME PLSSSSSS IM ALMOST DONE !!! Owen took a road trip to Utah. He traveled 615 miles. He put a total of 30 gallons of gas in his tank . What is his average MPG?
Answer:
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
Suppose that you and a friend are playing cards and you decide to make a friendly wager. The bet is that you will draw two cards without replacement from a standard deck. If both cards are diamonds, your friend will pay you $810. Otherwise, you have to pay your friend $49. Step 2 of 2 : If this same bet is made 914 times, how much would you expect to win or lose
Answer:
Step-by-step explanation:
We all know that there are 52 cards prszent in a deck out of which 13 are diamonds. Hence, the probability that both cards are spade is
13/52 * 12/51 =
0.25 * 0.235 =
0.0588
If both cards turn out to be diamonds, the friend pays $810 which is
$810 * 0.0588 = $47.628
On the other hand, the probability that both cards isn't a diamond is simply the negation of the probability that it is a diamond.
1 - 0.0588 = 0.9412
And you would have to pay your friend
$49 * 0.9412 = -$46.12, with the prefixed negative sign telling us that it's a lost bet.
Which number is greater...0987 or .12? Explain how you know
Answer:
.12
Step-by-step explanation:
.12 is equal to 12/100
and .0987 is equal to 0987/10000
Anaerw this pls ill give pointa
Answer:
B. C. D. E ALL HAVE FOUR SIDES
Answer:
B
Step-by-step explanation:
TIMED Be FAST PLS
An education researcher is interested in comparing the learning outcomes of students who are taught a lesson using five different teaching techniques. There are 75 students in the school who can participate in the experiment. Using a table of random digits, the researcher will randomly place the students into five equally sized treatment groups suitable for comparison.
How many unique random numbers must be read from the table of random digits?
A 5
B 15
C 60
D 75
Answer:
C
Step-by-step explanation:
Trust me just took the test
75 unique random numbers must be read from the table of random digits
What is Statistics?Statistics is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of data.
Given,
An education researcher is interested in comparing the learning outcomes of students who are taught a lesson using five different teaching techniques.
There are 75 students in the school who can participate in the experiment.
0 - 4 and 1 - 5 aren't enough.
0 - 75 is actually 76 students and that isn't what is stated in the insert so it's 01 - 75 because it accounts for all 75 students no less and no more.
Hence, 75 unique random numbers must be read from the table of random digits
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Pls help I’ll brainlest due today
Answer:
All you have to do is plot one point at (0,0) and another one at (7,2) that should give you a line. The equation is y=2/7x or y=0.2
Find the coordinates of point B
Answer:
do u got a pic?
Step-by-step explanation:
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.
Simplify the following rational expression.
X^2- 16x +64
———————
4x^2 -36x+32
Which values of I make the expression undefined?
9514 1404 393
Answer:
(x-8)/(4x-4) x ≠ 1 or 8
Step-by-step explanation:
Common factors can be cancelled, but cannot be ignored when it comes to determining where the function is undefined.
[tex]\dfrac{x^2-16x+64}{4x^2-36x+32}=\dfrac{(x-8)^2}{4(x-8)(x-1)}=\boxed{\dfrac{x-8}{4x-4}}[/tex]
The function is undefined for x=1 and x=8, the values of x that make the original denominator zero.
Three vertices of parallelogram DEFG are D(-2, – 4),F(0,7), and G(1,0). Find the coordinates of E.
Answer:
(-3,3)
Step-by-step explanation:
I just put the points on a graph, and counted how far away from each other they were, and found the last Point.
I hope this helps!
The coordinates of vertex E of parallelogram DEFG is: (-3, 3).
What does a midpoint mean?Midpoint, as the word suggests, means the point which lies in the middle of something. Midpoint of a line segment means a point which lies in the mid of the given line segment.
Diagonals of a parallelogram bisects each other, meaning they divide each other into equal parts.
The given vertices of parallelogram DEFG are:
D(-2, – 4),F(0,7), and G(1,0)
Let (x, y) = coordinates of vertex E.
Find the coordinates of E
Find midpoint of D(-4, - 2) and F(3, 3) using :
[tex](\dfrac{-2+0}{2}, \dfrac{-4 + 7}{2}) = ( \dfrac{x + 1}{2}, \dfrac{y + 0}{2})[/tex]
[tex](-2, 3) = (x + 1, y)[/tex]
By comparison So, we have:
-2 = x + 1
x = -3
and
y = 3
Therefore, the coordinates of vertex E is: (-3, 3).
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> Find the slope of the line passing through the points (-3, -8) and (5.6).
Answer:
y=1.75x-2.75 slope would be 1.75
Step-by-step explanation:
Use a Regression Calculator
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!
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
Which fractions are equivalent to Two-twelfths plus four-twelfths? Check all that apply.
Answer:
6/24
Step-by-step explanation:
if the cube above has a surface area of 54cm^3, what is the volume of the cube?
9514 1404 393
Answer:
27 cm³
Step-by-step explanation:
The surface area of a cube is ...
SA = 6s²
Then the edge length is ...
54 cm² = 6s² . . . . . please note that cm³ is not the appropriate unit for area
9 cm² = s² . . . . . .divide by 6
3 cm = s . . . . . . . take the square root
The volume of a cube is ...
V = s³
V = (3 cm)³ = 27 cm³
The volume of the cube is 27 cm³.
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.
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I need help with this problem, you don't have to tell me the answer as long as you can explain to me how to do it :)
Answer:
1.7miles
Step-by-step explanation:
You have to multiply 14 by 3 and divide 14 by 8
Something like this
14x3/8
which would give you around 1,7miles
someone please help
Answer:
b
Step-by-step explanation:
i dont kno lol
Can someone please help and give the right answer
Answer:
The answer is below
Step-by-step explanation:
Two triangles are said to be congruent if all the three angles and three sides of one triangle is equal to the three sides and three angles of the other triangle.
Statement Reason
RS ⊥ TS and RV ⊥ TV Given
∠S = ∠V are right angles Definition of perpendicular. Since RS ⊥ TS,
hence ∠S = 90° and RV ⊥ TV hence ∠V = 90°
ST ≅ VT Given
RT ≅ RT Reflexive property of congruence
ΔTSR ≅ ΔTVR Hypotenuse leg congruence theorem. For
two right triangles, if the hypotenuse and leg
of one triangle is the same as the hypotenuse
and leg of the second triangle, then the two
triangles are congruent.
RS ≅ RV Definition of congruency.
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.