Answer:
x = 10Step-by-step explanation:
[tex]x + 10 = 20\\x = 20 - 10\\x = 10[/tex]
Answer:
10
Step-by-step explanation:
x+10=20
x=20-10
=10
The n-4, n, n+3 are consecutive terms of geometry progression. find two possible values of the common ratio.
what number is in the hundred thousand place in 243,561
Answer:
2, because 100,000 is said one hundred thousand which means 1 is in the hundred thousand place, and the same applies to this number meaning 2 is in that place.
Step-by-step explanation:
Answer:
2 is in the hundred-thousands place.
Solve all 4 Questions . 50 Points + Brainelist
i)
length of rectangle : x + 5ii)
breadth of rectangle : x - 3iii)
area of rectangle = length * breadth105 = (x + 5)(x - 3)105 = x² + 2x - 15 x² + 2x - 15 - 105 = 0 x² + 2x - 15 - 105 = 0 x² + 2x - 120 = 0iv)
x² + 2x - 120 = 0x² + 12x -10x - 120 = 0x( x + 12) -10 (x +12) = 0(x-10)(x+12)x = 10, -12With x = -12, Not applicable so x will be 10
Length → x + 5 → 10 + 5 → 15
Breath → x -3 → 10 - 3 → 7
Therefore,
Length : 15 cm
Breadth : 7 cm
Answer:
Given:
The length of the rectangular shaped lamina is 5 cm more than the length of the square shaped lamina.The breadth of the rectangular shaped lamina is 3 cm less than the length of the square shaped lamina.x = side length of squarei) Length of rectangular shaped lamina = (x + 5) cm
ii) Breadth of rectangular shaped lamina = (x - 3) cm
ii) Area of a rectangle = length × breadth
⇒ area of rectangular shaped lamina = (x + 5)(x - 3) cm²
Given:
area of rectangular shaped lamina = 105 cm²⇒ (x + 5)(x - 3) = 105
Expand:
⇒ x² - 3x + 5x - 15 = 105
Combine like terms:
⇒ x² + 2x - 15 = 105
Subtract 105 from both sides:
⇒ x² + 2x - 120 = 0
iv) Solve x² + 2x - 120 = 0
Rewrite:
⇒ x² + 12x - 10x - 120 = 0
Break into groups:
⇒ (x² + 12x) - (10x + 120) = 0
Factorize the parentheses:
⇒ x(x + 12) - 10(x + 12) = 0
Factor out common term:
⇒ (x - 10)(x + 12) = 0
Therefore,
x - 10 = 0 ⇒ x = 10
x + 12 = 0 ⇒ x = -12
As length is positive, x = 10 only
Therefore,
Length of rectangular shaped lamina = 15 cm
Breadth of rectangular shaped lamina = 7 cm
When measuring distance 43 peas are approximately equal to 19 beans. How many peas are equal to 133 beans?
Answer:
301
Step-by-step explanation:
Assuming the proportion holds over longer distances, the ratios can be written ...
peas/beans = p/133 = 43/19
p = 133(43/19) = 301
301 peas are equal to 133 beans.
On the map below, all numbered streets run parallel to each other. Both 3rd and 4th streets are intersected by King Avenue.
A delivery driver is driving around town and has noticed that every time he turns, it creates an angle. What are the measures of Angles X, Y, and Z on the map?
In your answer, give the measures of angles X, Y, and Z, and explain how you calculated each one.
Answer:
x=105, y=75 and z=105.....this is a map of parallellines and a transversal. ....angles x and 75 are supplementary angles x=180-75 ×=105...angles y and 75 are corresponding angles so, y=75..angles x and z are alternate exterior angles z=x
HELP ASAP
Two angles are supplementary. The measure of the larger angle is 28 more than 3 times the measure of the smaller angle.
Find the measures of both angles.
ATQ
[tex]\\ \rm\longmapsto 3x+28+x=180[/tex]
[tex]\\ \rm\longmapsto 4x+28=180[/tex]
[tex]\\ \rm\longmapsto 4x=152[/tex]
[tex]\\ \rm\longmapsto x\approx 38[/tex]
3x+28=180-38=142Let's assume that ,
x is the smaller angle
3x+28 is the larger angle
then,
ATQ,
x + 3x+28 = 180°
4x +28 = 180°
4x = 180°-28°
4x = 152°
x = 38°
putting the value of x in the larger angle
⇢3x +28 = 3 x 38° +28° = 142°
hence , the measure of the smaller angle is 38° & the larger one = 142°
write the equation of th eline that is parallel to x=8 and that passes through the point (-3,-2)
HELPP 10points PLEASE
Answer:
x = 7
y = 2
--
x = 7
y = −x + 9
- Consider the second equation. Insert the known values of variables into the equation.
y = −7 + 9
Add −7 and 9 to get 2.
y = 2
The system is now solved.
x = 7
y = 2 ( 7,2 )
A student orders food from the menu shown below he orders 1 hotdog 1 popcorn 3 bags of chips and one soda how much money did he spend
(1 hotdog : 1.75)
( 1 popcorn : 1.25)
(3 bags of chips : 0.75)
(One soda : 1.50)
Answer:
1.75 + 1.25 + 1.50 + .75(3) = $6.75 total
Step-by-step explanation:
Make sure to multiply .75 x 3 because there are 3 bags of chips. That gives you $2.25 in chips to add to the hotdog, popcorn, and soda total.
HELPvppvy o o p pyvph
Answer:
the answer is
[tex]24 \sqrt{2} [/tex]
The Diamond Rule says two factors, m and n, must multiply to get to the top number and add to get to the bottom number.
What are the possible values for m and n?
By solving a system of equations, we will see that the values of n and m are 3 and -4.
How to get the values of n and m?
We need to get two values n and m such that:
n*m = -12
n + m = -1
So this is a system of equations, to solve it, we first need to isolate one of the variables in one of the equations. I will isolate n on the second equation:
n = -1 - m
Then, replacing that on the other equation we get:
(-1 - m)*m = -12
-m - m^2 = -12
-m^2 - m + 12 = 0
This is a quadratic equation, the solutions are given by Bhaskara's formula:
[tex]m = \frac{-(-1) \pm \sqrt{(-1)^2 - 4*(-1)*12} }{2*-1} \\\\m = \frac{1 \pm 7}{-2}[/tex]
Now, let's take the first solution for m:
m = (1 + 7)/-2 = -4
Then the value of n is the other solution, (or we can use the equation for n that we found above):
n = -1 - m = --1 - (-4) = 3
Then the two numbers are 3 and -4, meaning that the correct option is the first one.
If you want to learn more about systems of equations, you can read:
https://brainly.com/question/13729904
Determine if true:
3x9=12+13
Answer:
False
Step-by-step explanation:
3x9=27
3x9=2712+13=25
3x9=2712+13=2527=25
3x9=2712+13=2527=25These 2 numbers don't match.
Hence, the equation is false.
There can be 72 students in
each grade at Miller School. The
fifth grade has 3 teachers. Mrs.
Shaw's class has 21 students.
Mr. Brown's class has 23
students. Mrs. Ralley's class has
23 students. How many more
students can enroll in fifth grade?
Answer:
5 more students caw n enroll in 5th grade
Step-by-step explanation:
21 +23 + 23 = 67
72- 67 = 5
£245 increased by 25%?
Answer:
306.25
Step-by-step explanation:
What you need to do is multiply 245 by .25 (the decimal form of 25%). Then you should get 61.25, which is what the increase would be. Then, using the product, add 245 with 61.25 and you'll get the answer.
(Hope this helps)
Answer:
61.25 Euro
Step-by-step explanation:
Hopefully this is right. I'm American so I had to do a little converting with the currency. How you solve it is you multiply 245 by 25 and then divide by 100. Whenever percentage is involved think of the butterfly method.
[tex]x/250=25/100[/tex]
In this problem X is what you're trying to solve for; what the number will be AFTER the increase. The denominator will always be the original amount/price. Then on the other side you put the percentage over 100, since percentages go from 0% to 100%, kinda like quarters.
For numbers 11-13, refer to the figure below.
Answer:
c, a, a, c, a
Step-by-step explanation:
let me know if you want me to explain everyone, but I think you're more looking for the answer, so here they are(with short explanations)
11.c, 100. Vertical angles are congruent.
12.a, 70. Supplementary=180*. We know that B=110(from drawing). 110+70=180
13.a, 70. We know that a is 70 from question 12. vertical angles are congruent, so c=70
14.c, 90. from the attached image, we see that 12 and 3 makes 90* angle.
15.a, AY. Both have the letters AY in their names.
let me know if im correct!
Three pounds of apples costs $1.09. How much will 11 pounds of apples cost? Round to the nearest cent.
Answer:
Step-by-step explanation:
Comment
This is a proportion question. That means that the ratios given are equal. There are 4 facts all together. 3 are given, you have to solve for the 4th. The procedure is the same every time.
Equation (proportion)
cost of apples 1.09/ Number of apples (3) = cost of nearly a dozen (x)/Number = 11.
1.09/3 = x / 11 Cross Multiply
3x = 1.09 * 11 Combine the right
3x = 11.99 Divide by 3
3x/3 = 11.99/3
x = 3.99
Answer
4.00 per pound
Solve 20% of blank = 40
Answer: 200
Step-by-step explanation:
Let the unknown number be x.
Therefore, 20%*x = 40
20% as a fraction is 1/5.
Therefore x*(1/5) = 40
Multiply both sides by 5:
x = 200
Solve the equation by using the quadratic formula.
3x² - 1 =5x
Answer:
There!!
Step-by-step explanation:
mark me brainliest!!
Michelle's salad uses 1ż tomatoes and
serves 3 people. Caley's salad uses
2 tomatoes and serves 5 people. Whose
salad has more tomato per person?
Answer:
if Michelle's salad use 1tomato and servers 3 people which mean if she use 2 tomatoes she will server 6 people
Step-by-step explanation:
and caley's salad uses 2 tomatoes and servers 5 people
michelle's tomatoes serves more
please use an equation step by step and please show the numbers do not use words
Answer:
Sorry but u need another photo i can't see
I Really need Help IF you know how to do this please help!
11. Write a formula for the area of the shaded region in terms of x.
2
2
x + 5
okay so basically we see two rectangles right, so we can subtract the small from the big to leave the shaded region behind: so we take the area of the big rectangle first, (x+5)*4 and then we subtract the small area which is 2*2 so that we get an equation like this: (x+5)*4 - 4 --> 4x+20-4 --> 4x+16
500 apples are taken at random from a large basket and 50 are found to be bad. Estimate the proportion of bad apples and assign limits within which the percentage most probabilities lies
Answer:
Step-by-step explanation:
probability = 50/500= 1/10
which means that there is probability of 1 Apple will be bad from 10 apples.
AD ??????? so confused what the
Answer:
3.6 cm
Step-by-step explanation:
Triangle Proportionality Theorem
BD : DE = BA : AC
⇒ 6 : 10 = BA : 16
⇒ [tex]\mathsf{\dfrac{6}{10} = \dfrac{BA}{16}}[/tex]
⇒ [tex]\mathsf{BA=\dfrac{6}{10} \times16}[/tex]
⇒ BA = 9.6
AD = BA - BD
⇒ AD = 9.6 - 6 = 3.6 cm
Ann started walking to her grandparents' house at 9:38 A.M. It took her 41 minutes to get there. Then, she played in the backyard for 1 hour and 56 minutes.
When did Ann finish playing in the backyard?
The time Ann finished playing in the backyard is 12 : 15 pm
How to find the time Ann finish playing in the backyardTime Ann started walking to her grandparents' house = 9:38 A.MTime taken to get there = 41 minutesTime taken to play in the backyard = 1 hour and 56 minutesTotal time = 9:38 + 41 minutes + 1 hour 56 minutes
= 10:19 + 1 hour 56 minutes
= 12 : 15 pm
Therefore, the time Ann finished playing in the backyard is 12 : 15 pm
Learn more about time:
https://brainly.com/question/4931057
what is 15% of 900? please help
also see comments
Answer:
135
Step-by-step explanation:
Multiply .15 by 900
0.15 x 900 = 135
Hope this helps :)
Answer:
135
Step-by-step explanation:
To find 15% of a number, we can find 10% first then 5%
10% of 900 is 90 (900 ÷ 10 = 90)5% of 900 is 45 (half of 10% of 90)Therefore, 15% of 900 is 135We can also turn 15% into a decimal by dividing 15 by 100: 15 ÷ 100 = 0.15 Now, we can treat 'of' as × and do 0.15 × 900 which is 135.
Hope this helps!
Solve the equation 4y² = 7y
What’s the answer to this
Write the inequality this number line represents.
Answer:
x > 10
Step-by-step explanation:
the dot isn't filled, meaning x can't equal 10. it goes up, meaning x is greater than 10 :) hope this helps
Simplify (-7x+5)-(2x^2-8x+6) in standard form
Answer: -2x² - 15x + 11
Step-by-step explanation:
Place the numbers 0 to 8, inclusive, in the magic square so that the sum of the numbers in each row, column, and diagonal is the same number, 12.
Answer: See attached table
Step-by-step explanation:
[tex]\begin{table}[]\begin{tabular}{lllll} & & & & \\ & & & & \\ & & & & \\ & & & & \end{tabular}\end{table}[/tex]+---+---+---+
| 1 | 8 | 2 |
+---+---+---+
| 6 | 4 | 2 |
+---+---+---+
| 5 | 0 | 7 |
+---+---+---+
Proofs:
First row: 1+6+5 = 12
Second row: 8+4+0 = 12
Third row: 2+2+7 = 12
First column: 1+8+2 = 12
Second column: 6+4+2 = 12
Third column: 5+0+7 = 12
Diagonal starting from top left to bottom right: 1+4+7 = 12
Diagonal staring from top right to bottom left: 2+4+5 = 12