Answer:
Kerry = 2/3 * 420 = 280
David = 3/4 * 420 = 315
David read more pages compared to Kerry.
David read 35 more pages than Kerry.
What is division?The division in mathematics is one kind of operation. In this process, we split the expressions or numbers into the same number of parts.
Given:
Chemistry book contains 420 pages.
Kerry read 2/3 of her chemistry book,
= 2/3 x 420
= 280 pages.
David read 3/4 of her chemistry book,
= 3/4 x 420
= 315 pages.
315 - 280 = 35 pages.
Therefore, David read more pages.
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I will give you brainliest!!!! Use substitution method to solve the system of equations. y=6x-5 y=x+5
Answer:
(2,7)
Step-by-step explanation:
y=6x-5
y=x+5
Since they are both equal to y, set them equal to each other
6x-5 = x+5
Subtract x from each side
6x-x-5 = x+5-x
5x-5 = 5
Add 5 to each side
5x-5 +5 = 5+5
5x=10
Divide by 5
5x/5 = 10/5
x=2
y = x+5
y = 2+5
y =7
Answer:
Choice C: (2,7)
Step-by-step explanation:
Using substitution method let y = x + 5
We have x + 5 = 6x - 5
Get let’s get rid of the 6x, so -5x + 5 = -5
Get rid of the 5 by subtracting by 5, so -5x = -10
Divide -5 on both sides and you get x = 2
Input 2 for x in y = x + 5, we get y = 2 + 5, which equals 7.
So (2,7)
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In a test +3 marks are given for every correct answer and -1 mark for every incorrect answer. Sona attempted all the questions and scored +20 marks through she got 10 correct answers. How many questions were asked?
Answer: 20
Step-by-step explanation:
(i) Sona got 10 answers correct.
1 correct answer = 3 marks
10 correct answers = 10×3 = 30 marks but she got only 20
1 wrong answer = -1 mark
that means she attempted 10 incorrect answers.
No.of questions in the test= no.of incorrect + no.of correct answers
10+10= 20
the scale on a map is 1 cm : 7km. if two cities are 15 cm apart of the map, what is the actual distance between the cities?
Answer:
x = 105 km
Step-by-step explanation:
We can use ratios to solve
1 cm 15 cm
------------ = ------------
7 km x km
Using cross products
1 * x = 7 * 15
x = 105 km
Answer:
[tex]105km[/tex]
c
Step-by-step explanation:
[tex]1cm = > 7km \\ 1cm = > 700000[/tex]
[tex]1 : 70000[/tex]
[tex]1cm = > 700000cm \\ 15cm = > x[/tex]
[tex] \: 1 \: \: \: : 700000 \\ 15 : x[/tex]
Use cross multiply
[tex] \\ 1x = 15 \times 700000 \\ x = 10,500,000 \\ [/tex]
so,
[tex]1cm = > 700000cm \\ 15cm = > 10,500,000 cm[/tex]
[tex]15cm = 10,500m \\ 15cm = 105km[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
what is the point-slope form of a line with slope -3 that contains the point 10, -1
Answer:
C. [tex] y + 1 = -3(x - 10) [/tex]
Step-by-step explanation:
The point-slope equation of a line:
[tex] y - y_1 = m(x - x_1) [/tex]
where m = slope, and the point is (x1, y1).
In this case, the point is (10, -1), so x1 = 10 and y1 = -1.
The slope is -3, so m = -3.
[tex] y - (-1) = -3(x - 10) [/tex]
[tex] y + 1 = -3(x - 10) [/tex]
what is 25,00+30,00=
Answer:
5,500
Step-by-step explanation:
2,500 + 3,000:
2000 + 3000 + 500
5000 + 500
5500
Easy!
Joe went shopping yesterday. He saw a new Wii game that costs $55.00. It was on sale for 20% off. How much did Joe pay for the game after the discount? (don't include tax)
Answer:
the answer is 1100
Step-by-step explanation:
you will do... 5500*20/100
Find the Shaded area 12 cm 18cm 8cm 8cm
Answer:
3,456
Step-by-step explanation:
12x18x(8x2)= 3,456
4x+3=-10x+ 3 in simples form
Answer:
14x=0
Step-by-step explanation:
Answer
14x+3=3
add 10x to both sides
Please help me please
Answer:
SAS similarity theorem
Step-by-step explanation:
Both the triangles are similar by SAS similarity theorem.
Explain how to solve this problem by writing down the steps. The grass on the field erodes by -1 1/2% every year. If the total length of grass on the field was 220 feet long 3 years ago, how long is the length of grass on the field now?
Answer:
Step-by-step explanation:
Since the grass on the field erodes by -1 1/2% every year, it means that the rate of erosion is exponential. It is therefore eroding in geometric progression. We would apply the formula for determining the sum of n terms of a geometric sequence which is expressed as
Sn = a(1 - r^n)/(1 - r)
Where
n represents the number of terms(number of years) in the sequence.
a represents the first term in the sequence(the length 3 years ago)
r represents the common ratio(rate of erosion)
From the information given,
a = 220 feet
r = - 1.5/100 = - 0.015
n = 3
Therefore, the length of the field after 3 years, S3(length of the field now) would be
Sn = a(1 - r^n)/(1 - r)
S3 = 220(1 - (- 0.015^3)/(1 - - 0.015)
S3 = 220.0007425/1.015
S3 = 216.7495 feet
Solve the equation for y: x = 2y - 3
Answer:
[tex]y = \frac{1}{2} x+\frac{3}{2}[/tex]
Step-by-step explanation:
In the picture above, parallel lines p and q are cut by transversal line t. If the measure of angle 1 is 11x+7 and the measure of angle 8 is x+17, then x is equal to _____ and the measure of angle 1 is_____ degrees. The measure of angle 8 is _____ degrees.
Answer:
-11
Step-by-step explanation:
when rewriting in the form y=a(x-h)+k, by completing the square, the relation y=-x*2+6x+12 becomes:
Answer:
Step-by-step explanation:
you can complete the square or use a calculator online that does it for you.
the equation is in the for y = a(x-h)^2 + k
it should be y = (x + 3)^2 + 3
Answer:
The correct answer is [tex]y = - (x - 3)^{2} +21[/tex].
Step-by-step explanation:
To solve this equation (y = [tex]-x^{2} +6x + 12[/tex]), we want to first complete the square. To do this, we want to add a -9 to the expression in order to achieve [tex]y = -x^{2} +6x - 9 + 12[/tex].
Then, you want to add the -9 to the other side of the equation to get [tex]y - 9 = -x^{2} + 6x - 9 + 12[/tex].
Then, we factor out the negative sign from the right side of the equation. This is a negative 1 that can therefore make the polynomial easier to factor. This leaves us with [tex]y - 9 = -(x^{2} -6x+9) + 12[/tex].
Now, we use an identity in algebra that is difference of two squares identity. This says that [tex]a^{2} -2ab +b^{2} =(a-b)^{2}[/tex].
So, we will then factor the trinomial -[tex]x^{2} -6x+9[/tex] to get [tex]-(x-3)^{2}[/tex]. Our new and updated equation is [tex]y-9 = -(x-3)^{2} +12[/tex].
Now, we move the constant of -9 to the right side of the equation. This just means we are going to add this to 12. This gives us [tex]y = -(x-3)^{2} +21[/tex].
This is our final equation.
Find the surface area of a sphere. Use 3.14 for pi and round to the nearest tenth.
R=6.25
The complex solution to a quadratic equation is below. Write this solution in standard form, a+bi, where a and b are real numbers. What are the values of a and b.
Answer:
a = -6 and b = 3√2
Step-by-step explanation:
Given the complex solution below;
x = (-24±√-288)/4
Re writing in the standard format a,+bi
x =( -24±√144×√2×√-1)/4
In complex notation, i = √-1
x = (-24±√144×√2×i)/4
x = ( -24±12×√2i)/4
x = -24/4±12√2i/4
x = -6±3√2i
Comparing the resulting complex number with a+bi
a = -6 and b = 3√2
Can someone help me solve this?
Answer:
233.5
Step-by-step explanation:
step 1. A=wl=8·20=160
step 2. A=wl=6·12=72
step 3. A=ab
2=3·1
2=1.5
step 4. 160+72+1.5= 233.5
compare: 3 5/7 to 3 6/10 which one is greater
Answer:
3 5/7
Step-by-step explanation:
First we need to get a common denominator.
We can do this by multiplying the fractions by opposite denominators.
This gets us 3 50/70 and 3 42/70
Now we can see that 3 5/7 is greater
Steps:
Using the given inputs: 3 5/7 and 3 6/10
Rewriting these inputs as fractions: 3 5/7 3 6/10
26/7 36/10
The least common denominator (LCD) is: 70.
Rewriting as equivalent fractions with the LCD: 3 5/7 3 6/10
260/70 252/70
Comparing the numerators of the equivalent fractions we have:
3 5/7 3 6/10
260/70 > 252/70
Comparison shows: 3 5/7 > 3 6/10
Answer: 3 5/7 > 3 6/10
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Hope this helps.
Which ordered pair makes both inequalities true? y x On a coordinate plane, 2 straight lines are shown. The first solid line has a negative slope and goes through (0, 1) and (1, 0). Everything below and to the left of the line is shaded. The second dashed line has a positive slope and goes through (negative 1, negative 1) and (1, 1). Everything above and to the left of the line is shaded. (–3, 5) (–2, 2) (–1, –3) (0, –1)
Answer:
(-2, 2)
Step-by-step explanation:
Plotting the points on the graph can show you which is in the shaded area. That point is (-2, 2).
Answer:
(-2,2)
Step-by-step explanation:
pls help me fast as u can
pls
Answer:
M5 W11 C1-CLASS ASSIGNMENT-LEVEL-1
I.Convert the following into minutes
a)2 hours 12 minutes 72
b)7 hours 45 minutes 465
II.Convert the following into seconds.
a)1 hour 4 minutes 26 seconds 3866
b)2 minutes 43 seconds 163
III.
a) 246 minutes= 4 hours 6 minutes
b) 117 seconds= 1 minutes 57 seconds
Step-by-step explanation:
if its wrong sorry i tried mmy best
is it true or false , why and why not ?
9a is equivalent to 11a - 2a
Answer:
true
Step-by-step explanation:
11a - 2a
Factor out a
a(11-2)
a *9
9a
Answer:
9a is equivalent to 11a - 2a because 11a-2a=9a
Step-by-step explanation:
What is the value of x in the equation - 3X+9
x+9= 3-37?
2. What is the distance between the points M(-8,11) and N(3,7)?
a) 11.7
b) 10.2
c) 18.7
d) 19.4
Answer:
I'm not sure I feel like it's A
Step-by-step explanation:
-8 is 11 units away from 3 but I do not know where the 7 came from for answer A.
If I were you I would not trust my answer
The distance between the points M(-8,11) and N(3,7) is 11.7 units option (a) 11.7 is correct.
What is a distance formula?It is defined as the formula for finding the distance between two points. It has given the shortest path distance between two points.
The distance formula can be given as:
[tex]\rm d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
It is given that:
The two points are:
M(-8,11) and N(3,7)
From the distance formula, we can find the distance between these two points:
Applying the distance formula:
[tex]\rm d=\sqrt{(3-(-8))^2+(7-11)^2}[/tex]
d = √137
d = 11.7 units
Thus, the distance between the points M(-8,11) and N(3,7) is 11.7 units option (a) 11.7 is correct.
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Please help me with my question!!
[tex](5^3)^7[/tex]
[tex]5^{3 \times 7}[/tex]
[tex]5^{21}[/tex]
Answer:3*7=21 not 10
You have to multiply the number outside brackets with the inner number
Step-by-step explanation:
If m∠P = (7x – 22) ° and ∠P is a right angle, find the value of x.
Answer:
16
Step-by-step explanation:
If P is a right angle the the value of 7x - 22 would be equal to 90°
7x - 22 = 90°
7x = 112°
x = 16
Answer anyone please ?!
Answer:
A & D
Step-by-step explanation:
Vertical angles are equivalent angles made by intersecting lines. ISN and TSW, and TSN and ISW face each other and are equivalent.
Triangle A C D is shown. Point B is near the center of the triangle. Angle A C D is bisected by line segment C B. Lines are drawn from point B to points A and D to form 3 triangles within the larger triangle. Angle C B D is 125 degrees. The length of line segment A C is 52 centimeters and the length of line segment B D is 29 centimeters. If Line segment C B. bisects ∠ACD, what additional information could be used to prove ΔABC ≅ ΔDBC using SAS? Select three options. m∠ABC = 125° and AB ≅ DB ΔACD is isosceles with base AD ΔABD is isosceles with base AD CD = 52 cm AB = 29 cm
Answer:
it's A B D i don't know why the other person couldn't have just said that and make it look confusing
Answer:
A< B< D
Step-by-step explanation:
11. Michael is trying to rent a car during his vacation. He finds two companies
with the following deals.
Carol's Car Rentals
AL's Auto Rentals
$180 down payment
+ $15 per day
$250 down payment
$s per day
+
Part A: Write an expression that represents the cost at Carol's Car Rentals for (d)
days.
Your answer
Answer:
$180 + $15d
Step-by-step explanation:
Since Carol's Car Rentals offers a deal of $180 down payment + $15 per day and AL's Auto Rentals offer a deal of $250 down payment $5 per day. To calculate the cost of Carol's Car Rentals deal, we use the formula:
cost of Carol's Car Rentals = Down payment + cost per day.
If you are to rent at Carol's Car Rentals for d days; The cost of Carol's Car Rentals = Down payment + cost per day = $180 + $15 per day × d days
cost of Carol's Car Rentals = $180 + $15d
The following pie chart represents how many absences the students of Washington Middle School had during the first quarter. What percentage of the students had less than two absences during the first quarter?
Answer:
68
ignore the rest of this i need 20 charecters
Answer:
68%
Step-by-step explanation:
Let f(x) = 2x, g(x) = x2 + 2, and h(x) = 4x +3. Find the composite function.
(F*g)
Answer:
(f * g)(x) = 2(x²) + 4
Step-by-step explanation:
Explanation:-
let f(x) = 2 x, g(x) = x² + 2, and h(x) = 4 x +3
(f * g)(x) = f(g(x)) = f(x² + 2)
= 2(x² + 2)
= 2(x²) + 4
final answer:-
(f * g)(x) = 2(x²) + 4
4. Al restar 5 x ᶺ 2 – 8 x + 9 con – 9 + 16 x – 25 x ᶺ 2 se obtiene como resultado (Procedimiento)
Step-by-step explanation:
SE RESTAN ENTRE LOS NÚMEROS QUE TIENEN LA MISMA VARIAVLE.
[tex](5x^{2} + 25x^{2})[/tex] - (8x - 16x) + (9 + 9) = [tex]30x^{2}[/tex] - 24x + 18
