The system of equations to find the original number is;a = 3b +1 and (10a + b) - (10b +a) = 45
What is the system of equations to find the original number?From the task content;
let the number in the tens place of the original number be a and the number in the units place be b.Hence, the required system of equations is;
a = 3b(10a + b) - (10b +a) = 45On this note, the required numbers can be evaluated from the equations above;
Read more on system of equations;
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Please help me im stuck-
Answer:A
Step-by-step explanation:
Answer:
answer is A
Step-by-step explanation:
yes A
The data set shows the number of saves made by a hockey
goalie in the last nine games. The goalie says she usually makes
28 saves per game. Why is the goalie's statement misleading?
Saves Made
23
28
23
24
24
28
26
28
29
Answer:
she only has saved 28 3 times according to the data
Step-by-step explanation:
On a map, 2 inches represent 35 miles. How many inches would 105 miles be
Answer:
6 inches
Step-by-step explanation:
105÷35=3
3x2=6
Please help for brainliest :)))
Scatter Plot and Equation of the Line of Best Fit
1. 83.92
2.15.88
3. 19.66
Find the sum of the first 21 terms of the arithmetic series.
46 +53 +60 +67+ ...
Answer:
2436
Step-by-step explanation:
The sum of n terms of an arithmetic series is given by the formula ...
Sn = (n/2)(2a +d(n -1))
where a is the first term, and d is the common difference.
__
This series has ...
a = 46
d = 53 -46 = 7
n = 21
So, the desired sum is ...
S21 = (21/2)(2(46) +7(20)) = 2436
The sum of the first 21 terms is 2436.
What is the surface area of cone below Diameter AB=21 and distance from B to C =36
Answer:
1533.88261311522
Step-by-step explanation:
Let r be the radius of the (base/circle)
and L be the slant height of the cone
Formula ………………………………………………………………………………………………………
The surface area of a cone = the (curved/lateral) surface area + the base
[tex]=\pi r^{2}\ \ \ +\ \ \ \pi Lr[/tex]
=========================================
[tex]r=\frac{21}{2} =10.5[/tex]
L = BC = 36
[tex]\text{surface area} =\pi \left( 10.5\right)^{2} +\pi \times 36\times \left( 10.5\right)[/tex]
[tex]=346.360590058275 + 1187.52202305694[/tex]
[tex]=1533.88261311522[/tex]
The scores awarded to 25 students for an assignment were as follows
47, 59, 86, 77, 85, 68, 42, 85, 87, 47, 36, 89, 76, 91
What is the probability that a student scored below a 50?
Answer:
HereThe numbers less than 50 (A) = 4
Total numbers (S) = 14
Probability students below 50 = 4÷14
Step-by-step explanation:
That is the correct answer of it.
Question 7 of 10
Which facts are true for the graph of the function below? Check all that apply
FX) = 3.4%
A. It is increasing
B.the y intercept is (0,3)
C. The range of f(x) is y>4
D. The domain of f(x) is all real numbers
E. It is decreasing
F. The y intercept is (0,4)
Answer:
It is increasing
The y-intercept is (0, 3).
The domain of F(x) is all real numbers.
if it is 9'oclock now what time will it be in 16hours time
Answer:
1 AM
Step-by-step explanation:
9AM(start time) to 9PM = 12 hours + the other 4 Hours, 10PM, 11PM, 12PM, 1AM(end time).
help asap will give brainliest
Line segment GH has endpoint G(10,11) and H(−2, −7).
Part A: The point Z lies on segment GH and is located at (6, 5). What is the ratio of GZ: ZH?
Part B: Find the coordinates of Q such that HQ: GH = 1: 6.
Answer:
(-1,-2)
Step-by-step explanation:
The given coordinates are ,
G ( 4 , 10)
H ( -2 , -6)
Midpoint can be calculated by finding the mean of x coordinates and y coordinates . As ,
→ Midpoint = ( 4-2/2 , 10-6/2)
→ Midpoint = ( -2/2 , -4/2 )
→ Midpoint = ( - 1 , -2)
Hence the midpoint is (-1,-2)PART B:To find out the midpoint,here's the formula: ((x1+x2)÷2 , (y1+y2)÷2)
Thus,the midpoint of QS is
((4+(-2))÷2 , (10+3)÷2)
=(1 , 13/2)
hope it helps!
The circumference of the target above is 6,430.72 mm.
What is the diameter of the target? Use 7 = 3.14.
Circumference = 277
A.512 mm
B. 4,096 mm
C. 1,024 mm
D 2,048 mm
Answer:
2048 or D
Step-by-step explanation:
We can use the formula c=(pi)(d)
replace 6,430.72 with c!
c=(pi)(d)
6,430.72=3.14*d
- Divide both sides by 3.14 -
d = 2048
simplify6(x - 3) = -42.
Answer:
x = -4
Step-by-step explanation:
First Expand :
6(x - 3)
= 6x - 18
Now you need to Simplify:
6x - 18 = -42
And now get the 6x by itself by doing this :
6x - 18 = -42
+18 +18
= > 6x = -24
And 6 x 4 = 24
But 6 x -4 = -24
So :
6x/6 and -24/6
= >> x = -4
The weights of four year old boys are normally distributed with a mean of 38 pounds and a standard deviation of 4 pounds. Which of the following weights could represent the 90tn percentile for the weight of a four year old?
The weights that represent 90% of the weight of a four years old boy will be 44.58
What is a z-score?The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.
The weights of four years old boys are normally distributed with a mean of 38 pounds and a standard deviation of 4 pounds.
The value of the z-score at 90% will be 1.645
Then the weights that represent the 90% of the weight of a four year old will be
1.645 = (x - 38)/4
6.58 = x - 38
x = 44.58
More about the normal distribution link is given below.
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Expand Completely
(x19 +7)4
Answer:
x⁷⁶ + 2401
Step-by-step explanation:
When an exponent is raised to another exponent, the two exponent values are multiplied. When a number is raised to an exponent, the number is multiplied by itself that many of times.
(x¹⁹ + 7)⁴ ---->
x⁽¹⁹ ˣ ⁴⁾ + 7⁴ --->
x⁷⁶ + (7 x 7 x 7 x 7) --->
x⁷⁶ + 2401
Use the linear combination method to solve this system of equations. What is the value of x?
3 x + 7 y = 31. Minus 3 x minus 2 y = negative 1
Negative 6
Negative 3 and two-thirds
3 and two-thirds
6
Answer:
x = -3 2/3
have a great day
Answer:
x = -3 2/3
Step-by-step explanation:
solve x and find the missing angles
Answer:
1. x=44°
2.5x=50°
3x=30°
Step-by-step explanation:
1) 46°+x=90°
x=90-46= 44°
X= 44°
2) 5x+100°+3x=180°
8x+100=180
8x=180-100
8x=80
x=80/8
x=10
substitute the value of x in '3x' and '5x'
3*10=30
5*10= 50
ABC is isosceles.
m
X = [?]
please help!!
Answer:
x = 4
Step-by-step explanation:
The base angles of an isosceles triangle are congruent, as shown in the figure.
Equating their measures, we have ...
∠A = ∠C
8x -7 = 25 . . . . substitute the given expressions
8x = 32 . . . . . add 7
x = 4 . . . . . . divide by 8
Which of the following statements is true about the number 30/2?
A. It is contained in the set of natural numbers, whole numbers, integers, and rational numbers, but it is not contained in the set of irrational numbers.
B. It is contained in the set of irrational numbers and rational numbers, but it is not contained in the set of natural numbers or whole numbers.
C. It is contained in the set of rational numbers, but it is not contained in the set of natural numbers, whole numbers, integers, or irrational numbers.
D. It is contained in the set of whole numbers and rational numbers, but it is not contained in the set of irrational numbers or integers.
Answer:
It's A :)
Step-by-step explanation:
30/2 is 15
15 is a whole number so it applies to everything except for irrational numbers
Hope this helps :)
The figure consists of a quarter circle and a parallelogram. What is the area of the composite figure? Use 3.14 for n 76, Round to the nearest whole number.
A 70 in.2
B 84 in.2
C 154 in.2
D 224 in.2
Which factor is measured to determine the winner of the shot-put competition?
A. Time
B. Speed
C. Height
D. Distance
Answer:
D. Distance
Step-by-step explanation:
Distance is measured to determine the winner of the shot-put competition
- AKIA
Brainliest to the correct answer, but answer ASAP
ONLY answer if you are 100% sure so don't say "I think" or "It might be"
the answer is 153.86 ft squared
= the formula for the area of a circle is A=πr2
= area = pi x radius squared
= the radius is 7 feet, square that to get 49
= multiply 49 by pi to get the area: 153.86 square feet
153.86 ft squared
Answer:
153.86 ft squared
Step-by-step explanation:
As per given question we have provided that :
➟ Radius of circular pool = 7 feetWe need to find :
➟ Area of circular poolHere's the required formula :
[tex]{\dashrightarrow\sf{A = \pi {r}^{2}}}[/tex]
↝ A = Area ↝ π = 3.14 ↝ r = radiusSubstituting all the given values in the formula to find the area of circular pool :
[tex]{\dashrightarrow{\sf{Area = \pi {r}^{2}}}}[/tex]
[tex]{\dashrightarrow{\sf{Area = 3.14{(7)}^{2}}}}[/tex]
[tex]{\dashrightarrow{\sf{Area = 3.14{(7 \times 7)}}}}[/tex]
[tex]{\dashrightarrow{\sf{Area = 3.14{(49)}}}}[/tex]
[tex]{\dashrightarrow{\sf{Area = 3.14 \times 49}}}[/tex]
[tex]{\dashrightarrow{\sf{Area = 153.86}}}[/tex]
[tex]\star{\underline{\boxed{\sf{\red{Area = 153.86 \: {ft}^{2}}}}}}[/tex]
Hence, the area of circular pool is 153.86 ft².
[tex]\rule{300}{1.5}[/tex]
a pack of toilet paper was originally $4.50 , it now cost $6.75. What is the solution to this problem?
I need help with this problem
In a class of 25 students, we want to distribute their exam paper results.
What is the probability that only 2 students DO NOT get their exam paper. (23 get theirs and 2 are swapped).
See the link in comments (or if it gets deleted, look up "partial derangement"). The number of ways in which exactly [tex]k[/tex] items from a pool of [tex]n[/tex] items can be rearranged such that only these [tex]k[/tex] items are in their original positions is
[tex]R(n,k) = \dbinom nk \, !(n-k)[/tex]
where [tex]!(n-k)[/tex] is the so-called sub-factorial that satisfies the relation
[tex]!n = \left\lfloor \dfrac{n!+1}e \right\rfloor[/tex]
and [tex]\lfloor x \rfloor[/tex] denotes the floor or greatest integer function of [tex]x[/tex], i.e. the greatest integer smaller than or equal to [tex]x[/tex].
There are 25! ways of handing back exams with no extra constraint.
There are [tex]R(25,23)[/tex] ways of handing back 23 exams to their original owners and 2 exams otherwise, and
[tex]R(25,23) = \dbinom{25}{23} \, !(25-23) = 300\left\lfloor\dfrac{2!+1}e\right\rfloor = 300[/tex]
Then the probability of returning 23 exams correctly and 2 exams swapped is
[tex]\dfrac{300}{25!} \approx \boxed{5.17\times10^{-22}}[/tex]
( marking right answer as brainliest ) sid is an entomologist and records the lengths of ladybugs . over the past month he measured 5,300 cm worth of ladybugs * How many meters was this? *
Answer:
53 meters
Step-by-step explanation:
5300 / 100 = 53
because yes
What is 14% of 60 million?
The strip below is cut into 10 equal bars. Shade of this strip. 1/2
Answer:
Shade in 5 parts of the 10 strip.
Step-by-step explanation:
I didn't get an image but what I think the problem looks like is this, 10 empty strips, but just fill in 5, then it looks like the second image.
What is the volume of a rectangular cake pan that measures 13 inches by 9 inches by 2 inches?
Answer: 234 in sq.
Step-by-step explanation: Volume = length times width times height.
13 x 9 x 2 = 234 in sq.
Hope this helps.
Question 1-6
Given parallelogram ABCD, which of the following statements about its angles must be correct?
O It has two pairs of complementary angles.
O It has two pairs of supplementary angles.
O
All of its angles are acute.
O The sum of the measures of its angles is 180°.
Answer:
the sum of the measures of it's angles is 180
Which statement ,begin emphasis,best,end emphasis, describes the data in the scatter plot?
Answer:
D
Step-by-step explanation: