Answer:
98, 68, 44, 20
Step-by-step explanation:
we can write the other two-digit number as:
a*10 + b
Where both a and b are single-digit numbers.
When we "attach" this at the right of 55, the number that we get is:
5500 + a*10 + b
And this number is divisible by 24 if it is divisible by 3 and 8.
A number is divisible by 8 if the sum of its digits is divisible by 3, then we must have:
5 + 5 + a + b = multiple of 3 = n*3
A number is divisible by 8 if the last 3 digits are divisible by 8, then:
500 + b*10 + a = multiple of 8 = m*8
First we can use the second relation to find the value of b:
500 + b*10 + a = m*8
so we need to find a multiple of 8 that is in the range (500, 599)
for example, if we use:
8*65 = 520
Then we have:
b = 2
a = 0
5504, 5512, 5520, 5528, 5536, 5544, 5552, 5560, 5568, 5576, 5584, 5582, 5590, 5598.
Now we just need to see if these are divisible by 4.
5504:
5 + 5 + 0 + 4 = 14
not divisible by 3.
5512:
5 + 5+ 1 + 2 = 13
not divisible by 13
5520:
5 + 5 + 2+ 0 = 12
divisible by 3, then 20 is a option.
5528:
5 + 5 + 2 + 8 = 20
not divisible by 3
5536:
5 + 5 + 3 + 6 = 19
not divisible by 3
5544:
5 + 5 + 4 + 4 = 18
is divisible by 3, then 44 is a option.
5552:
5 + 5 + 5+ 2 = 17
not divisible by 3
5560:
5 + 5 + 6 + 0 = 16
not divisible by 3
5568:
5 + 5 + 6 +8 = 24
divisible by 3, then 68 is an option
5576:
5 +5 + 7 + 6 = 23
not divisible by 3
5582:
5 +5 + 8 + 2 = 20
not divisible by 3
5590:
5 +5 +9 + 0 = 19
not divisible by 3
5598:
5 + 5 + 9 + 8 = 27
is divisible by 3, thus 98 is an option.
Then the possible options are:
98, 68, 44, 20
Simplify: 5^(x+2)-4×5^x÷21×5^x
Answer:
(1/21)(21×5^(x+2)-4×5^2x)
Step-by-step explanation:
5^(x+2)-4×5^x÷21×5^x
= 5^(x+2)-4×5^2x/21
= 1/21(21×5^(x+2)-4×5^2x)
find the missing side. Round it to the nearest tenth.
Answer: x = 74.3
Step-by-step explanation:
Let 22 be reference angle
so
tan 22 = p/b
tan 22 = 30/x
or, x= 30/tan22
so, x = 74.252
so, x = 74.3
Triangle OPR has length OR=5m, angle OPR = 90, find length QP
Answer:
i don't know
Step-by-step explanation:
i don't know
Two cars started from the same place at the same time but travelled in opposite directions. After 9 hours they were 910 kilometers apart. If the speed of one car is 10 kilometers per hour slower than the other what were their speedss per hour
Answer:
Step-by-step explanation:
To make this easier we are going to make a table and fill it in with the pertinent information. That's the first step; the second one is figuring out how to use the information in the table to come to some sort of a viable and reasonable (and hopefully correct) answer. The table will look like this:
d = r * t
Car 1
Car 2
What we know first off is that the time in question, the IMPORTANT time is 9 hours. That they left at the same time doesn't give us any numbers to put into our table or any useful information. We are looking at what happens at 9 hours. So that's what goes into the t column:
d = r * t
Car 1 9
Car 2 9
What we are then told is that after this 9 hours they are a certain distance apart. We'll come back to that. One car is traveling 10 km/h slower than the other, but since we don't know what the rate of the other car is either, they are both unknown. And it just so happens that this the information we are asked to solve for.
d = r * t
Car 1 r * 9
Car 2 r - 10 * 9
Now, since d = rt, we multiply the rate times the time and fill in the distance each has gone in 9 hours:
d = r * t
Car 1 9r = r * 9
Car 2 9r - 90 = r - 10 * 9
The distance between these 2 cars after that 9 hours is 910 km, therefore:
distance that car 1 traveled + distance that car 2 traveled = 910 km:
9r + 9r - 90 = 910 and
18r - 90 = 910 and
18r = 1000 so
r = 55.56 km/hr
and the other car is going 10 km/hr slower at 45.56 km/hr
Help on 36 and 37 pls, the choices for 37 are 70,77,82, and 90
Answer:
36: G-30
37: Please add the rest of the questions, so I can answer 37.
Step-by-step explanation:
what is the solution?
Answer: x = 36
Step-by-step explanation:
[tex]\frac{2}{3} x-4=20\\\\\frac{2}{3} x=20+4\\\\\frac{2x}{3} =24\\\\2x=24*3\\\\x=\frac{72}{2} =36[/tex]
Draw a rough sketch of a quadrilateral KLMN. State, (a) two pairs of opposite sides, (b) two pairs of opposite angles, (c) two pairs of adjacent sides, (d) two pairs of adjacent angles. please draw the answer
Answer:
Please find attached the drawing of quadrilateral KLMN created with MS Whiteboard using the Ink to Shape command
(a) Two pairs of opposite sides are [tex]\overline {KN}[/tex], [tex]\overline {LM}[/tex] and [tex]\overline {KL}[/tex], [tex]\overline {NM}[/tex]
(b) Two pairs of opposite angles are ∠LKN, ∠LMN, and ∠KLM and ∠KNM
(c) Two pairs of adjacent sides are [tex]\overline {KN}[/tex], [tex]\overline {NM}[/tex] and [tex]\overline {KL}[/tex], [tex]\overline {LM}[/tex]
(d) Two pairs of adjacent angles are ∠LKN, ∠KLM and ∠LMN, ∠KNM
Step-by-step explanation:
find the value of x in the triangle.
Answer:
The answer is 36°.
Hope it helps.
Step-by-step explanation:
• • •
TIME REMAINING
43:02
Which ordered pair makes both inequalities true?
y < –x + 1
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)
Mark this an
the answer of this question is (-2,2)
Find the area of triangles having sides 3cm,4cm,5cm respective.
Answer:
60cm
Step-by-step explanation:
3×4×5
you multiply each side together
Answer:
10cm² (check explanation)
Step-by-step explanation:
using the formular;
A = ½ x Base x Height
(You did not specify which one is base etc)
I'll use any parameter;
If height = 5cm, base = 4cm
The area = (5 x 4)/2
= 20/2
= 10cm²
I’ll mark u as a brainliest!! pls help me
Answer:
Shorter leg is 7
Bigger leg is 7√3 = 12.1 (rounded to the nearest tenth)
Given the following coordinates complete the reflection transformation.
Answer:
see explanation
Step-by-step explanation:
Under a reflection in the x- axis
a point (x, y ) → (x, - y ) , then
A (2, 0 ) → A' (2, 0 )
B (4, 1 ) → B' (4, - 1 )
C (6, - 4 ) → C' (6, 4 )
Under a reflection in the y- axis
a point (x, y ) → (- x, y ) , then
A' (2, 0 ) → A'' (- 2, 0 )
B' (4, - 1 ) → B'' (- 4, - 1 )
C' (6, 4 ) → C'' (- 6, 4 )
Lauren wants to know how many students in her school plan to see the new science fiction movie opening this weekend. She surveyed every Fitch student as they left the school on Friday.
Population:_____________
Sample:__________________
Is this sample reprsentive? Explain.
______________________________
Fifteen hundred randomly selected South Carolina kindergarten students were observed on the first day of school
Answer: See explanation
Step-by-step explanation:
The question isn't complete. Here is the completed question that I got online.
Fifteen hundred (1500) randomly selected South Carolina kindergarten
students were observed on the first day of school to determine if they knew how to tie a shoe. Using this information, please identify the following: Population:
Sample:
Variable:
Sample Size:
Sample Space:
The variable is: (qualitative/quantitative)
If 40% of the observed students knew how to tie their shoes, how many of the 58,135 kindergarten students in SC can we expect to know how to tie their shoes?
Sample: The sample is 1500.
Variable: This is the number of students who know how to tie their shoes.
Sample Size: 1500
Sample Space: The total number of students in South Carolina kindergarten
The variable is quantitative since they're counted.
If 40% of the observed students knew how to tie their shoes, therefore the number from the 58,135 kindergarten students in SC that can be expected to know how to tie their shoes will be:
= 40% × 58135
= 0.4 × 58315
= 23254
Can someone help me out thx
This is because the two chords are the same length, so they are the same distance away from the center.
We can prove this by drawing the following red segments as shown below. These segments are radii of the circle. After forming the two right triangles, note how we can use the hypotenuse leg (HL) theorem to prove the triangles congruent. So this leads to x = 9 because the corresponding pieces of the triangles must be the same.
What is the range of the function on the graph, I hope you can see it
Answer:
Option 4. All real numbers greater than or equal to 2.
I hope this will help.
What are the roots of the equation x2 + 6x - 4 = 0?
A6+2V13
B.-6+2V13
C.3V13
D.-3V13
Answer:
The answer is D
Step-by-step explanation:
use the quadratic formula, plug and chug, and voila!
Which statement is true about this quadratic equation?
y = 12 – 11x + 7
A.
There is one real solution.
B.
There are two complex solutions.
C.
There are two real solutions.
D.
There is one complex solution,
The statement that is true about the quadratic equation is (b) There are two complex solutions.
Identifying the statement that is true about the quadratic equationFrom the question, we have the following parameters that can be used in our computation:
y = 12 – 11x + 7
Express properly
So, we have
y = 12x² – 11x + 7
Next, we calculate the discriminant using
d = b² - 4ac
Where
a = 12
b = -11
c = 7
Substitute the known values in the above equation, so, we have the following representation
d = (-11)² - 4 * 12 * 7
Evaluate
d = -215
This value is less than 0
This means that it has complex solutions
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find the height of the triangle
Answer:
Step-by-step explanation:
Two numbers have a sum of 35 and an
LCM of 42. What are the two numbers?
HELP PLEASE <3
Answer:
14, 21
Step-by-step explanation:
LCM : least common multiplier.
x + y = 35
LCM = 42
means that there is a combination of 2 of the following divisors of 42 :
2, 3, 6, 7, 14, 21
so, which two of these numbers can create the sum of 35 ?
only 14 and 21
you buy a refrigerator for $711. The sales tax rate is 4%. Estimate the sales tax
a) $280
b) $28
c) $29
d) $290
Answer:
B. $28
Step-by-step explanation:
Find the sales tax by finding 4% of 711:
711(0.04)
= 28.44
This is closest to 28.
So, the correct answer is B. $28
Which equation should you solve to find x?
12
X х
34°
10
Answer:
B
Step-by-step explanation:
sin(theta) = perpendicular/hypotenuse
sin(34)=x/12
Figure ABCD - Figure EFGH.
F 2.5 G
5.0 C
B
3.0
E
4.0
A 8.0D
Perimeter of ABCD = 20
Perimeter of EFGH ?)
Enter
Answer:
10
Step-by-step explanation:
1.5+2.5+2+4=10 b/c the figure is the half of the biger lines
The perimeter of the quadrilateral EFGH is 10 units.
What is perimeter?Perimeter is the total length of the boundary of a closed shape. The perimeter of the polygon is measured as the sum of all the sides.
For the given situation,
The diagram shows the two quadrilaterals ABCD and EFGH.
The quadrilaterals are similar, ABCD ≅ EFGH. So their ratios are equal.
Here BC = 5.0, FG = 2.5
⇒ [tex]\frac{FG}{BC} =\frac{2.5}{5.0}[/tex]
⇒ [tex]\frac{1}{2}[/tex]
So the lengths of EFGH is half than that of ABCD.
Then the lengths of EFGH are 2.5, 2.0, 4.0, 1.5
Thus the perimeter of EFGH is
Perimeter = Sum of all sides
⇒ [tex]Perimeter = 2.5+2.0+4.0+1.5[/tex]
⇒ [tex]Perimeter = 10.0[/tex]
Hence we can conclude that the perimeter of the quadrilateral EFGH is 10 units.
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Solve the inequation : 2(3-4x) + 3 < 49
As in the picture.hope it helps.......
Plzzzz mark brainlist if correct.....
Please hurry I will mark you brainliest
A sunflower plant is growing at a constant rate. It was 4cm tall after 1 month and 32 cm tall after
9 months.
a) Express the growth of the plant as a rate of change.
b) Write an equation to show this relationship
Answer:
a) 3.5 cm / month
b y = 3.5(x-1) + 4, x >= 1
Step-by-step explanation:
the plant grew 32-4 = 28 cm in 9-1 = 8 months.
so, the growth rate is 28 cm / 8 months = 7 cm / 2 months, or (to norm it to a typical 1 unit denominator) 3.5 cm per month.
x = months of growth
y = height of plant
so, considering the "start" of 4 cm after one month, the equation is
y = 3.5(x-1) + 4, x >= 1
since we don't know anything about anything that happened before the first month was over, we cannot validate this equation for anything x<1.
a shopkeeper sells a pant at 10% profit, if he would have sold it at rs.150 more than profit would have been 15% find the purchased price of the pant
Answer:
selling prices =10% 10+150+15%=180
What is the approximate length of the line segment?
(1, -1)
(6,-8)
Answer:
8.6023
Step-by-step explanation:
length = √[(x2-x1)^2+(y2-y1)^2]
=√[(1-6)^2+(-1--8)^2] =√74 =8.6023
Help plzzz... circle geometry question.
Answer:
IU = 161
Step-by-step explanation:
Angle Formed by Two Secants= 1/2 (difference of Intercepted Arcs)
42 = 1/2 (7m+5 - (3m-1))
Distribute the minus sign
42 = 1/2 (7m+5 - 3m+1))
Combine like terms
42 = 1/2 ( 4m+6)
Distribute the 1/2
42 = 2m+3
Subtract 3 from each side
42-3 = 2m+3-3
39 = 2m
Divide by 2
19.5 = m
The sum of the arcs = 360
IU+ 3m-1 + 7m+5 = 360
IU +10m+4 = 360
IU +10(19.5) +4 = 360
IU +195+4 = 360
IU = 360 - 199
IU=161
A silver chain has 100 links. Each link is made of thin silver wire and is in the shape of a circle of radius 2,5 cm. Find the value of the chain if the silver wire costs 6 cents per centimetre ( Use 3,14 for π )
Number of links = 100
Shape of each link = Circle
Radius = 2.5
Area = πr²
= 3.14×2.5×2.5
= 19.625
Now for 100 links
19.625×100
1962.5Cm²
Cost = 1962.5 × 0.06
= $117.75
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If each link is made of thin silver wire and is in the shape of a circle of radius 2.5 cm, the value of the silver chain is $94.20.
To find the value of the silver chain, we need to calculate the total length of the silver wire used in making the chain and then multiply it by the cost per centimeter.
Each link in the chain is a circle with a radius of 2.5 cm. The circumference of a circle can be calculated using the formula 2πr, where r is the radius.
In this case, the circumference of each link is:
Circumference = 2 * 3.14 * 2.5 cm = 15.7 cm
Since there are 100 links in the chain, we multiply the circumference of each link by 100 to get the total length of the silver wire used:
Total length = 15.7 cm/link * 100 links = 1570 cm
Now, we can calculate the value of the chain by multiplying the total length of the silver wire by the cost per centimeter:
Value of the chain = 1570 cm * $0.06/cm = $94.20
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HELPPPPPPPP
Which of the following is a geometric sequence?
Answer:
ES LA NUME C R
Step-by-step explanation:
