Step-by-step explanation:
two times of a number added to 18 gives 70
what is value of X.
2x + 18 = 70
2x = 52
X = 26 is answer
can u talk to me in comment section
The system of equations representing the described condition will be [tex]x+y=15\;and \;2x+4y=40[/tex].
A variety of problems can be solved using the system of equations.
Consider a simple problem of purchasing notebooks and pens from the market.
You bought some pens at $2 per pen and some notebooks at $4 per notebook from the market. At the end of shopping, you have spent $40 and you got 15 objects in your bag.
Write the given situation in the form of equations.
Let x be the number of pens bought and y be the number of notebooks bought.
So, the equations can be made as,
[tex]x+y=15\\2x+4y=40[/tex]
Therefore, the system of equations representing the described condition will be [tex]x+y=15\;and \;2x+4y=40[/tex].
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Find the measure of b.
Answer:
measure A is half 110
measure B is (180-A)
so A is 55 , and B is 125
Answer:
measure A is half 110
measure B is (180-A)
so A is 55 , and B is 125
Step-by-step explanation:
If my income is €15 every 2 weeks how much money will I have in 3 months
Answer
90
Step-by-step explanation:
If for 2 weeks there are 15 then there are 4 weeks in 1 month = €30 + €30 + €30 = €90
Write the equation for the following table:
x. y.
____
0 7
1 16
2 19
3 16
Answer:
B
Step-by-step explanation:
Trish entered a problem on her calculator that gave her this result on the screen: “0.1894528...”. Would this decimal be considered a repeating decimal? Why or why not?
The decimal 0.1894528 is not a repeating decimal.
What is the decimal number?The accepted method for representing both integer and non-integer numbers is the decimal numeral system. Decimal notation is the term used to describe the method of representing numbers in the decimal system. The numbers are first in fractions and then divided by the number to give a decimal number.
The given decimal number is “0.1894528. In the decimal number if the numbers are repeating then it is called the repeating decimal number if the numbers are not repeating then it is called a nonrepeating decimal number. Here the given decimal is nonrepeating decimal.
Therefore, the decimal 0.1894528 is not a repeating decimal.
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i’ll mark you brainliest and give more points, please show workkkk
Answer:
10.5% compounded quarterly will be worth more at the end of 7 years.
Step-by-step explanation:
Investment 1:
Principal=$1,000
t=7 years
n=12 months
r=9%=0.09
FV=PV(1+r/n)^nt
Where,
FV=future value
PV=present value
r=interest rate
t=time (years)
n=number of periods
FV=PV(1+r/n)^nt
=1000(1+0.09/12)^12*7
=1000(1+0.0075)^84
=1000(1.0075)^84
=1000(1.8732)
=1,873.2
FV=$1,873.2
Investment 2:
Principal=$1,000
t=7 years
r=10.5%=0.105
n=4
FV=PV(1+r/n)^nt
=1000(1+0.105/4)^4*7
=1000(1+0.02625)^28
=1000(1.02625)^28
=1000(2.0658)
=2,065.8
FV=$2,065.8
10.5% compounded quarterly will be worth more at the end of 7 years.
Please help ASAP !!!!!!!!!!
Answer:
a) Grocery Store: $9.71
b) Other purchases: $6.71
Step-by-step explanation:
a) 485.72 x 0.02 = 9.71
b) 671.28 x 0.01 = 6.71
Don't forget the labels!!
One root of a quadratic that has real coefficients is 2-3i. What is the other root?
Answer:
2+3i
Step-by-step explanation:
imaginary roots come in pairs
The Cleveland Art Institute has eight paintings by a local artist they plan to display. If the paintings are hung in one horizontal line, how many different ways can they be arranged if order is important? A.10,880 B.20,160 C.1 D.40,320
Answer:
40320 ways
Step-by-step explanation:
Given
Paintings = 8
Required
Determine the number of arrangements
From the question, we understand that the order of arrangement matters;
This implies permutation and is calculated as thus;
[tex]^nP_r = \frac{n!}{(n-r)!}[/tex]
In this case,
[tex]n = 8[/tex]
[tex]r = 8[/tex], because all paintings are hung;
Substitute 8 for n and r, respectively
[tex]^8P_8 = \frac{8!}{(8-8)!}[/tex]
Evaluate the denominator
[tex]^8P_8 = \frac{8!}{0!}[/tex]
[tex]^8P_8 = \frac{8 * 7 * 6 * 5 * 4 * 3 * 2 * 1}{1}[/tex]
[tex]^8P_8 = 40320[/tex]
Hence, the number of arrangement is 40320 ways
Help and show work plz
Answer:
NQ=15, NP=20
Step-by-step explanation:
9/(2x+1)=12/(3x-1)
cross product
12(2x+1)=9(3x-1)
24x+12=27x-9
12=27x-24x-9
12=3x-9
3x=12+9
3x=21
x=21/3
x=7
NQ=2x+1=2(7)+1=15
NP=3x-1=3(7)-1=21-1=20
Answer:
x = 7
Step-by-step explanation:
Since the triangles are similar the ratio of the sides must be the same
AB AK
------- = --------------
QN NP
9 12
---------- = ------------
2x+1 3x-1
Using cross products
9(3x-1) = 12(2x+1)
Distribute
27x -9 = 24x +12
Subtract 24x from each side
3x-9 = 12
Add 9 to each side
3x = 21
Divide by 3
x = 7
In three years, 30% of a radioactive element decays. Find its half-life. (Round your answer to one decimal place.) yr
Answer:5 years
Step-by-step explanation:
Answer:
5 years
Step-by-step explanation:
in three years 30%
so in one year 10%
For half life time- 50%
so half life time years- 5 years..
Follow the process of completing the square to solve x^2 - 10x + 8 = 0. What is the value of the constant that will be isolated on the right side of the equation in step 3? A.-8 B.-12 C.-32
Answer:
A. -8
Step-by-step explanation:
[tex]x^2-10x+8=0[/tex]
then we subtract 8 from both sides
[tex]x^2-10x+8-8=0-8[/tex]
[tex]x^2-10x=-8[/tex]
The value on the right side is -8 in the process of completing the square.
Answer:
A. -8
Step-by-step explanation:
Which of the following numbers is divisible by 24 ? (A) 13,944 (B) 15,746 (C) 15,966 (D) 16,012 (E) none of the above
Answer:
Only A is divisible by 24.
Step-by-step explanation:
A number is divisible by 24 if it's divisible by both 3 and 8.
Numbers are divisible by 3 if all their digits add to a multiple of 3, and numbers are divisible by 8 if the last 3 digits are divisible by 8.
Let's look at A, 13944. The numbers add up to [tex]1+3+9+4+4=21[/tex], which is divisible by 3.
944 is divisible by 8, and it makes 118.
So A works.
B is 15746.
[tex]1+5+7+4+6=23[/tex], so this won't work as 23 isn't divisible by 3.
C is 15966.
[tex]1+5+9+6+6=27\div3=9[/tex], so this works for 3 but let's check 8.
[tex]966\div8=120.75[/tex] so it's not divisible by 8, therefore not divisible by 24.
D is 16012.
[tex]1+6+0+1+2=10[/tex] and 10 isn't divisible by 3, so it doesn't work.
Hope this helped!
Which expression can be used to find the surface area of the following triangular prism? *picture of a triangular prism* Choose 1 answer: (Choice A) 24+24+ 120+160+20024+24+120+160+20024, plus, 24, plus, 120, plus, 160, plus, 200 (Choice B) 24+20024+20024, plus, 200 (Choice C) 24+24+200+120+12024+24+200+120+12024, plus, 24, plus, 200, plus, 120, plus, 120 (Choice D) 48+48+120+160+20048+48+120+160+200
Answer:
A. 24+24+120+160+200
Step-by-step explanation:
Surface area of the triangular prism= addition of the area of each shape that forms the prism
There are two triangles
Area of a triangle=1/2*base*height
=1/2*8*6
=1/2*48
=24
Area of two triangles=24+24
There are 3 rectangles with different dimensions
Back rectangle=length×width
=20×6
=120
Bottom rectangle=length ×width
=20x8
=160
Top rectangle=length × width
=20×10
=200
Surface area =Area of two triangles + Back rectangle + Bottom rectangle + Top rectangle
=24+24+120+160+200
In a Euler diagram, “No X are Y” would be represented how?
Answer: Two separated circles, one called X and the other called Y.
(so there is no element of the set X that is also in the set Y)
Step-by-step explanation:
"No X are Y"
This means that there is not a single element in the set X that is also in the set Y.
So in an Euler diagram, you can represent this as two circles, one called Y and other called X, where the circles do not intersect or touch at any point.
This particular case is represented similarly to how you would represent it in a Venn diagram
Sam weighed his dog. He rounded the weight to the nearest tenth of a pound to get 18.6 pounds. Which could have been the actual weight of Sam's dog?
Answer:
18.55 <= wt < 18.65
In other words, the dog could weigh anywhere from 18.55 up to , but not including 18.65 lbs
Step-by-step explanation:
Answer:
every thing that is 18.55 and after it until 18.64
Step-by-step explanation:
so that will be 18.55,18.56,18.57,18.58,18.59,18.6,18.61,18.62,18.63,18.64
those are all numbers that could be sams weight
Which is the correct label for the volume of a solid figure?
units squared (i.e. m2)
units cubed (i.e. m3)
Answer:
Volume is units cubed
area is units squared
Units cubed will be the correct label.
We have a solid figure.
We have to determine the correct unit of labelling for this figure.
What is difference between Area and Volume?An area is a two - dimensional quantity that encloses all two -dimensional coordinate points using a single dimensional entity. Example - circle.
Volume is a three - dimensional quantity that encloses all the points in the three - dimensional space using a two - dimensional entity.
The volume makes use of three different dimensions to enclose points inside it. Due to this we cannot label the unit as units squared as it represents only two dimensions ([tex]m^{2}[/tex]), whereas units cubed represents three dimensions ([tex]m^{3}[/tex]).
Hence, units cubed will be the correct label.
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Maria has $20 to buy fish for her aquarium. Each goldfish costs $3. How
many goldfish can she buy?
Answer:
6
Step-by-step explanation:
$20/$3 = 6.666...
We need to round down to 6.
Answer:
She can get 6 gold fish
Step-by-step explanation:
Take the amount of money and divide by the cost of the gold fish
20/3 = 6 with 2 dollars left over
She can get 6 gold fish
Solve x*2+5x+6=5x+10
Answer:
x = -2, 2.
Step-by-step explanation:
x*2 + 5x + 6 = 5x + 10
x^2 + 5x - 5x + 6 - 10 = 0
x^2 - 4 = 0
x^2 = 4
x = -2, 2 ( 2 solutions).
what is the domain of the function shown in the graph below?
Answer type: interval, all real numbers, all values except one, all values except two
interval:
Answer:
All except one interval [-2,8]
Step-by-step explanation:
Notice that the function, wich an hyperbola, has a vertical asymptote in both -2 and 8 and there is nothing between this two values.
So we will exclude what's between them out of the domain.
PLEASE HELP FOR FINAL!! H(x)= -|x+1| + 3
Answer:
H(2)= 0 , so x = 2 is the correct answer
Step-by-step explanation:
Given:
H(x)= -|x+1| + 3
Computation:
By putting x = 0,1,2
H(x)= -|x+1| + 3
H(0)= -|0+1| + 3
H(0)= -1 + 3
H(0)= 2
H(x)= -|x+1| + 3
H(1)= -|1+1| + 3
H(1)= -2 + 3
H(1)= 1
H(x)= -|x+1| + 3
H(2)= -|2+1| + 3
H(2)= -3 + 3
H(2)= 0
On thursday morning, a shop has 468 customers.314 were women and 75 were children.
a) What percentage were women?
b) What percentage were *not* children
Answer: A) 67[tex]\frac{11}{117}[/tex] (or) 67.09
B) No. of people neither children nor women
= 468-(314+75)
= 79
= [tex]\frac{79}{468}[/tex]*100
= 16[tex]\frac{103}{117}[/tex] (or) 16.88
I hope it helps. Have a great day :)
Answer:
a) = 67.10 % or 67.09%
b) = 84.10% or 83.97%
Step-by-step explanation:
a = (314/468)*100 = 67.094017094 %
b = (393/468)*100 = 83.9743589744 % (edited 393)
To find b we have to can use simple subtraction to find Men = m = ?
If Women = w = 314 and Children = c = 75
Eliminate the (w = 314) with (c=75) from total to find (m=?)
w+c+m= 468
c+m = 468-w = 468-314 = 154
m = 154-c = 154-75 = 79
m = 79
b) Total sum that were not children = w+m = 314 + 79 = 393
or = 468-314 = 154
then 154 - 79 = 75
with = 468-75 = 393
then find percentage;
(393/468) * 100 = 83.9743589744
LO bisects NLM, Lm = 22, NO = 6, and LN = 14. What is the approximate value of x? A. x = 3.8 B. x = 9.4 C. x = 51.3 D. x = 73.3
14/6 = 22/x
Cross multiply:
14x = 132
Divide each side by 14
x = 9.4
A square has a perimeter of 8 and one vertex at (2, 2). What could be the location of another vertex of this shape? A) (1, 5) B) (-2, 2) C) (2, 3) D) (0, 0)
Answer:
D) (0,0)
Step-by-step explanation:
It is a square so each side is 2 units because
8/4 = 2
If the first point is at (2,2) we need to find which other point is 2 away from the first one. Or two away from where that point would be since there are 3 other corners.
We can rule out A and C because they are an odd number away. B is too far away because he's distance is 4.
So the other point is (0,0)
Two boxes can hold the same amount of sand. Box 1 is 1/4 filled and box 2 is 2/3 filled. If the sand in box2 is poured into box 1, what is the fraction of box 1 still not filled a.1/12 b.3/7 c.4/7 d.11/12
Answer:
d.11/12
Step-by-step explanation:
1/4x3=3/12
2/3x4=8/12
3/12+8/12=11/12
Help Resource
Find the total surface area of the
following square pyramid:
4 cm
6 cm
SA = [?] cm2
Answer:
64 cm^2
Step-by-step explanation:
I assume the side of the base measures 4 cm, and the height of each triangular side (the slant height) is 6 cm.
SA = s^2 + 4 * bh/2
SA = (4 cm)^2 + 2(4 cm)(6 cm)
SA = 16 cm^2 + 48 cm^2
SA = 64 cm^2
Charlene is wrapping the box below. How much wrapping paper will she need? A. 186 in.^2 B. 372 in.^2 C. 480 in.^2 D. 558 in.^2 Please include work!
Answer:
372 in ^2
Step-by-step explanation:
Wrapping a present is surface area
SA = 2( lw+wh+hl)
= 2 ( 12*3 + 12*10 + 3*10)
= 2 ( 36+120+30)
= 2 (186)
= 372 in ^2
372^2 jhope this helps
40 POINTS!!!!!!!! WILL MARK BRAINLEST!!!!! 3. Sherelle and Venita’s grandmother said that one of the bags has a coin from 1916. (a) What reasons might Sherelle give for saying that the 1916 coin is most likely in her bag? (b) What reasons might Venita give for saying that the 1916 coin is most likely in her bag? (c) Whose bag do you think is more likely to contain the 1916 coin? Explain your reasoning.
Answer:
Given : Sherelle and Venita’s grandmother said that one of the bags has a coin from 1916
To find : What reasons might sherelle give for saying that the 1916 coin is most likely in her bag?
What reasons might venita give for saying that the 1916 coin is most likely in her bag?
Solution:
Sherelle: 72, 56, 81, 84, 75, 26, 39, 62, 65, 66, 85, 71, 74, 68, 73, 66, 83, 60, 58, 72
arranging in order
26, 39, 56, 58, 60, 62, 65, 66, 66, 68, 71, 72, 72 , 73, 74, 75, 81, 83, 84, 85
Median = (68 + 71)/2 = 69.5
Q1 = 61
Q3 = 74.5
IQR = 13.5
Sherelle claims that she has 26 which is closer to 16 hence her chances are more.
Venita: 45, 65, 73, 57, 79, 66, 69, 75, 51, 44, 53, 69, 58, 77, 51, 55, 53, 78, 70, 62
arranging in order
44, 45, 51, 51, 53, 53, 55, 57, 58, 62 ,65, 66, 69, 69, 70, 73, 75, 77, 78, 79
Median = 63.5
Q1 = 53
Q3 = 71.5
IQR = 18.5
IQR of Venita is High
so there are more chances that Sherelle will be having higher spread hence chances of having 16 in data Set is More
If Sherelle remembers seeing an old coin in her bag earlier, then her bag would be more likely to have the 1916 coin.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
Sherelle might say that she remembers seeing an old coin in her bag earlier and that she rarely removes things from her bag.
She might also argue that she has not used her bag as frequently as Venita, so the coin is more likely to be in her bag.
Venita might argue that she has used her bag more frequently than Sherelle, so the coin is more likely to be in her bag.
She might also say that she has checked her bag multiple times and has not seen the coin, so it must be in Sherelle's bag.
if Sherelle remembers seeing an old coin in her bag earlier, then her bag would be more likely to have the 1916 coin.
On the other hand, if the coin was recently added to one of the bags, then Venita's bag could also be a likely candidate.
Hence, if Sherelle remembers seeing an old coin in her bag earlier, then her bag would be more likely to have the 1916 coin.
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Can someone please help me out? I'd really appreciate it.
Answer:
The scaling factor is 4.
Step-by-step explanation:
To find the scaling factor from A to B, we must know that these are similar triangles. Since this is not stated in the problem, we will assume these are similar triangles.
Similar triangles simply have the same scaling ratio, allowing for any size triangle to be created with the same relative dimensions. With this in mind, let's check to see the multiple of each side by simply taking the sides of the triangle B divided by the sides of triangle A.
40 / 10 = 4
44 / 11 = 4
72 / 18 = 4
Notice how each of the sides from triangle B to triangle A has the same multiple, 4. This tells us that the scale from A to B is 4.
Hence, the scaling factor is 4.
Cheers.
Please help As soon as possible!
Answer:
10
Step-by-step explanation:
To find the area of a parallelogram you need to use the expression A = bh
When you plug that in it will be 120 = 12b
After this, you need to solve (10)
Which statement BEST explains why the sine of an acute angle is equal to the cosine of the angles complement?
Answer:
In a right triangle, the sine of one acute angle, A, equals the cosine of the other acute angle, B. Since the measures of these acute angles of a right triangle add to 90º, we know these acute angles are complementary. ∠A is the complement of ∠B, and ∠B is the complement of ∠A.
Step-by-step explanation:
