Hi there! :)
4x=-36
Divide both sides by 4 in order to isolate x:
x=-9
Hope this helps you and have a nice day!
~Just a joyful teen
[tex]SilentNature[/tex]
6 miles in 2 hours how fast you go
(1 point) Find how many positive integers with exactly four decimal digits, that is, positive integers between 1000 and 9999 inclusive, have the following properties: (a) are divisible by 5 and by 7. 257 (b) are divisible by 5 but not by 7. (c) are divisible by 5. (d) are divisible by 7.
Using arithmetic sequences, it is found that there are:
a) 257 numbers that are are divisible by 5 and by 7.
b) 1543 numbers that are divisible by 5 but not by 7.
c) 1800 numbers that are divisible by 5.
d) 1286 numbers that are divisible by 7.
In an arithmetic sequence, the difference between consecutive terms is always the same, called common difference d.
The nth term of an arithmetic sequence is given by:
[tex]a_n = a_1 + (n-1)d[/tex]
In which [tex]a_1[/tex] is the first term.
Item a:
Numbers that are divisible by 5 and 7 are multiples of 35, as the least common multiple of 5 and 7 are 35, thus we have an arithmetic sequence with [tex]d = 35[/tex].The first multiple of 35 in this interval is 1015, so [tex]a_1 = 1015[/tex].The last multiple of 35 in this interval is 9975, so [tex]a_n = 9975[/tex].We apply the general formula and solve for n, thus:
[tex]a_n = a_1 + (n-1)d[/tex]
[tex]9975 = 1015 + 35(n-1)[/tex]
[tex]35n - 35 = 8960[/tex]
[tex]35n = 8995[/tex]
[tex]n = \frac{8995}{35}[/tex]
[tex]n = 257[/tex]
There are 257 numbers that are are divisible by 5 and by 7.
Item b:
First, we find the number of multiples of 5, with [tex]a_1 = 1000, a_n = 9995, d = 5[/tex]. Thus:
[tex]a_n = a_1 + (n-1)d[/tex]
[tex]9995 = 1000 + 5(n-1)[/tex]
[tex]5n - 5 = 8995[/tex]
[tex]5n = 9000[/tex]
[tex]n = \frac{9000}{5}[/tex]
[tex]n = 1800[/tex]
Of those numbers, 257 are multiples of 35, which means that they also are multiplies of 7, thus they are removed.
1800 - 257 = 1543.
There are 1543 numbers that are divisible by 5 but not by 7.
Item c:
From the previous item, there are 1800 numbers that are divisible by 5.
Item d:
We find the number of multiples of 7, with [tex]a_1 = 1001, a_n = 9996, d = 7[/tex]. Thus:
[tex]a_n = a_1 + (n-1)d[/tex]
[tex]9996 = 1001 + 7(n-1)[/tex]
[tex]7n - 7 = 8995[/tex]
[tex]7n = 9002[/tex]
[tex]n = \frac{9002}{7}[/tex]
[tex]n = 1286[/tex]
There are 1286 numbers that are divisible by 7.
A similar problem is given at https://brainly.com/question/23901992
A model of a population of a small country is 35,000(1.03)^x. Find the current population if x equals four years since the last census.
Based on the model of the population and the amount of years that have passed, the current population is 39,393 people.
The model of the population is:
= 35,000 x (1.03)^ x
If x is 4 years, slot this into the model to get:
= 35,000 x 1.03⁴
= 35,000 x 1.12550881
= 39,393 people
In conclusion, the current population is 39,393 people.
Find out more at https://brainly.com/question/1232096.
The table lists recommended amounts of food to order for 25 party guests. and are hosting a graduation party for 40 guests. They know there will also be guests stopping by who may have come from other parties. For ordering purposes, they will count each of these 45 "drop-in" guests as half a guest. How much of each food item should and order for a graduation party with drop-in guests?
Answer:
667
Step-by-step explanation:
Answer:
It will be
1. 3
2.2
3.5
Step-by-step explanation:
HOpe this helps!
Please help!
Triangle ABC has angle measures as shown. Show work. Complete sentence.
(a) What is the value of x?
(b) What is the measure of angle CBA?
(c) What is the measure of angle CAB?
(d) When these 3 interior angles of a triangle are added together, what does it equal?
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Answer:
(a) x = 22
(b) 46°
(c) 44°
(d) 180°
Step-by-step explanation:
Because the sum of the interior angles of a triangle is 180°, we know that the sum of the acute angles in a right triangle is 90°.
(a)The sum of the marked acute angles is 90°.
2x +(3x -20) = 90
5x = 110 . . . . . . . . . . add 20, collect terms
x = 22 . . . . . . . . . divide by 5
__
(b)∠CBA = (3x -20)° = (3·22 -20)° = 46°
__
(c)∠CAB = 2x° = 2(22)° = 44°
__
(d)The sum of a triangle's interior angles is 180°.
Need help with math problem
Answer:
1/7
Step-by-step explanation:
Sana nakatutulong
#Carry on learning
Answer:
I Don't know if this is correct!
Step-by-step explanation:
1/7 of boys are not bringing their lunch as you can see.
I think it is 2/7
PLS PLS PLS I NEED HELP FAAAAAAAASSSSST GIVING BRAINLIEST TO QUICKEST CORRECT
Answer:
c hope this helps
Step-by-step explanation:
Answer:
The correct answer should be C.
Which angles are corresponding angles?
Answer:
OPN and QPS are corresponding angles
Colin loves to eat tuna salad for lunch. His mom is always looking for a bargain on 12-ounce cans of tuna. Today, his local grocery store is offering 4 cans of Sea Star tuna for $3.28 and 2 cans of Ocean's Best tuna for $1.88. Which brand is the better deal?
At a recent meeting at the American College of Asthma, Allergy, and Immunology, researchers reported that allergy vaccinations are effective in treating sinusitis (inflammation of the membrane lining the facial sinuses) in individuals predisposed to allergies. Specifically, the researchers reported that of individuals predisposed to allergies find relief from their sinusitis after allergy vaccinations. Suppose that this number is accurate and that individuals predisposed to allergies are chosen at random and given allergy vaccinations.
a. Estimate the number of individuals in the random sample who do not find relief from their sinusitis by giving the mean of the relevant distribution (that is, the expectation of the relevant random variable).
b. Quantify the uncertainty of your estimate by giving the standard deviation of the distribution.
PLS HELP ME WILL GIVE BRAINLIEST NO LINKS PLZ!!!
Answer:
130
Step-by-step explanation:
sorry if wrong
have a great day
CAN SOMEONE PLEASE HELP ME WITH THIS ASSIGNMENT, I’D BE SO THANKFUL
In a state's Pick 3 lottery game, you pay $1.35 to select a sequence of three digits (from 0 to 9), such as 966. If you select the same sequence of three digits that are drawn, you win and collect $394.46
Answer:
-96 cents
Step-by-step explanation:
(Conjectured Problem) In a state's Pick 3 lottery game, you pay $1.35 to select a sequence of three digits (from 0 to 9), such as 966. If you select the same sequence of three digits that are drawn, you win and collect $394.46. That is your expected win?
Expected Win =
(Probability you match the drawn sequence)(Amount won if there is a match) - (Amount you pay) =
(1/10)(1/10)(1/10)(394.46) - 1.35 =
0.39446 - 1.35 =
-0.95554 =
-96 cents, rounded to the nearest cent
Two cars leave towns 750 kilometers apart at the same time and travel toward each other. One car's rate is 12 kilometers per hour less than the other's. If they
meet in 5 hours, what is the rate of the slower car?
Do not do any rounding.
Answer:
57 kph
Step-by-step explanation:
5x + 5(x-12) = 750
10x = 690
x = 69
Slooow car = 57 kph
What is the domain of y=log 4(x+3)?
Answer:
Y= log 4(x+3)
then you should do (x+3)= 3x= log 4.
Step-by-step explanation: Sorry I'm not 100 % sure so yeah
But let's see 3x = log 4
oh so then you need to divide 3 at both sides so then what's 4/3= 1.3333333333.
So now I think it's C). All real numbers are les than 3.
Sorry I ain’t know why it look like that buh can someone help asap
Answer:
[tex]for \: \: dmain \: of \: {f}^{ - } \: \: is \: equal \: f \: range \\ y = \sqrt{x } - 5 \\y \: range \: is \: y \geqslant - 5\\ y + 5 = \sqrt{x} \\ x = {(y + 5)}^{2} \\ {f}^{ - 1} = {(x + 5)}^{2} \\ \\ dmain \: of \: \: {f}^{ - 1} \: x \geqslant - 5[/tex]
When you divide two fractions is the quotient always smaller than the dividend?
A fraction can really look like anything. So the quotient can be sometimes larger than the dividend.
what is square root of 50
Answer:
7.071067811865475
Step-by-step explanation:
If you deposit $16,000 per year for 12 years (each deposit is made at the end of each year) in an account that pays an annual interest rate of 14%, what will your account be worth at the end of 12 years?
Answer:
A = 16000(1+0.14)^12 = 77086.4777
Answer:
12 22 23 24 25 26 2u 28 ug6fyd
if x =6 + y and 4x = 3 -2y, then x=
Answer:
x = 5/2 or 2.5
Step-by-step explanation:
I solved this using simultaneous equations or system of equations
You times (1) by 2 so that the y's are the same
You add (3) and (2) instead of subtracting them because the sign in front of thr 2y's are different; adding them will eliminate them
SPANISH
help i need an answer to these question (and please one that isn't a scam)
Answer:
for the first one its the middle answer
Step-by-step explanation:
i speak almost fluent spanish but i am not amazing at math
The. Problem I in the picture
Answer:
can't see it clearly sorry about that
100min to 2h as a ratio
Answer:
100:2
Step-by-step explanation:
If 400 kids went to the amusement park and only 120 came back how many got lost?
Answer:
280
Step-by-step explanation:
400 - 120=280
280= number of children lost
how do you solve -5=4x-8
Answer:
3.25=x
Step-by-step explanation:
start with -5=4x+8
subtract 8 from each side to get:
-13=4x
divide each side by 4 to get your answer:
-3.25=x-
Answer:
[tex]x = - 3.25[/tex]
Step-by-step explanation:
-5 = 4x + 8
-5 - 8 = 4x + 8 - 8
-5 + (-8) = 4x
-13/4 = 4x/4
Therefore, x = -3.25
-5 + (-8) = 4x
Same Change Change (SCC) rule for integers was applied here.
What is an equation of the line that passes through the point (-2,7)(−2,7) and is perpendicular to the line x-4y=24x−4y=24?
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Answer:
4x +y = -1
Step-by-step explanation:
The equation of the perpendicular line can be written by ...
swapping the x- and y-coefficients, negating one of themchoosing a new constant so the line goes through the given point.The x- and y-coefficients in the given equation are 1 and -4, respectively. Since we want the leading coefficient positive, it is convenient to use 4 and 1 as the coefficients in the new equation. The constant can be found by substituting (x, y) = (-2, 7) to see what it is.
4x +y = 4(-2) +7 = -1
The desired perpendicular line has an equation ...
4x +y = -1
The width of a rectangular rug is 4 1/4 inches longer than twice its length. If the perimeter of the rug is 56 1/2 inches, which equation represents this situation?
The question requires calculating the perimeter of the rectangular r ug
The equation which represent the situation is 113/2 = 6x + 34/4 and length is 8 inches and width is 20 1/4 inches
Given:
let
length of the rectangular r ug = x inches
Width of a rectangular r ug = (2x + 4 1/4) inches
Perimeter of the r ug = 56 1/2 inches
Perimeter of the r ug = 2(length + width)
56 1/2 = 2{x + (2x + 4 1/4)
113/2 = 2(x + 2x + 17/4)
113/2 = 2(3x + 17/4)
113/2 = 6x + 34/4
113/2 - 34/4 = 6x
(226-34) / 4 = 6x
192/4 = 6x
48 = 6x
divide both sides by 6
x = 48/6
x = 8 inches
So,
length of the rectangular r ug = x inches
= 8 inches
Width of a rectangular r ug = (2x + 4 1/4) inches
= 2(8) + 4 1/4
= 16 + 4 1/4
= 20 1/4 inches
Therefore, the equation which represent the situation is 113/2 = 6x + 34/4 and length is 8 inches and width is 20 1/4 inches
Read more:
https://brainly.com/question/10452031
Solve for X in the questions
Step-by-step explanation:
x = 360°- (90°+36°+36°)
= 360 - (162°)
= 198°
___________
[tex] \: [/tex]
Step by step :PQR = 360°
QR = 90°
PQ = 36°
RX = 36°
Soo :
x = 360° - (90° + 36° × 2)
x = 360° - (90° + 72°)
x = 360° - (162)
x = 198°✔
A polygon is shown on the graph:
A polygon is shown on the coordinate plane. Vertices are located at 3 comma 5, 1 comma 3, 1 comma 1, 2 comma 0, 4 comma 0, 5 comma 1, and 5 comma 3.
What effect will a translation 3 units down and 2 units left have on the polygon? Be sure to address how it could impact the angles, side lengths, and congruency between the original pre-image and the image.
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Answer:
angles, side lengths, and congruency are unaffected by translation: translated figures are congruent.
Step-by-step explanation:
The proposed transformation is ...
(x, y) ⇒ (x -2, y -3) . . . . . . translation 2 left and 3 down
Translation, rotation, and reflection are all "rigid" transformations. They do not affect any measure of a figure: angles, side lengths, area all remain the same after any of these transformations. The figure after any of these transformations, or any combination of them, is congruent to the original.
__
The attachment shows the original figure (brown) and the translated figure (red). The pre-image and the image are congruent.
Answer: goood answer
Step-by-step explanation:
Mikel creates the table below to help her determine 40% of 70.
40% of 70
20%
20%
20%
20%
20%
0.2
0.2
0.2
0.2
0.2
14
14
14
14
14
She writes the expression (0.2) (14). Which change in Mikel’s expression will lead her to the correct answer?
The 14 in the expression could be changed to 28.
The 0.2 in the expression could be changed to 0.4.
The 14 in the expression could be changed to 70.
The 0.2 in the expression could be changed to 2.
Answer:
D i did the test
Step-by-step explanation:
Answer:
D: she need change 0.2 to 2
Step-by-step explanation:
70 divide 20% = 14
40% divide 20% = 2