Answer:
24 and 48
Today, the son is 24 years old, and the father is 48 years old.
Step-by-step explanation:
(x - 10) + (2x - 10) = 52
3x + 20 = 52
3x = 72
x = 24
The father is 2 times his son's age.
2x
= 2(24)
= 48
So, the son is 24 and the father is 48.
10 years ago, son was 14 and father was 38, if added, this adds up to 52, so we know our calculations are correct.
Answer:
So the son’s age is 24 and the father’s is 48. Ten years ago, they were 14 and 38, which adds up to 52.
Step-by-step explanation:
If the son’s age is x, the father’s age is 2x.
Ten years ago:
(x - 10) + (2x - 10) = 52
3x + 20 = 52
3x = 72
x = 24
2x = 48
Shannon buys a table that was priced $700. There is a 8% sales tax in her state. Fortunately, it was 60% off! So she only paid
Answer:
Total paid: 302.40
Step-by-step explanation:
Price x percent off = amount off
700 x .60 (60%) = 420 amount off
price - amount off = sales price
700 - 420 = 280 sales price
sales price x sales tax rate = sales tax
280 x .08 (8%) = 22.40 sales tax
sales price + sales tax = total paid
280 + 22.40 = 302.40 total paid
What is the value of the interquartile range of the data below? A box-and-whisker plot. The number line goes from 0 to 52. The whiskers range from 10 to 51, and the box ranges from 29 to 41. A line divides the box at 32. 6 12 14 24
Answer:
12
Step-by-step explanation:
The interquartile range is the difference between the lower quartile and the upper quartile
We can find the quartiles at the beginning and the end of the box
At the beginning of the box, we have the lower quartile, while at the end, we have the upper quartile
from what we have ;
The lower quartile is 29 while the upper quartile is 41
So the difference between the two which is the interquartile range is ;
41-29 = 12
Answer:
12
Step-by-step explanation:
Estimate the sum of 7.2 + 7.3 + 6.9 + 6.8.
Answer:
28
Step-by-step explanation:
7.2 is rounded down to 7, 7.3 is rounded down to 7, 6.9 is rounded up to 7, and 6.8 is rounded up to 7. Then you can add 7+7+7+7 to get an estimation of 28.
Use the shell method to write and evaluate the definite integral that represents the volume of the solid generated by revolving the plane region about the y-axis.
y = x^3/2,
y=8
x=0
Solution :
[tex]$y=x^{3/2}, \ \ y =8, \ \ x=0$[/tex]
[tex]$v=2 \pi \int_0^4 x (8-x^{3/2}) \ dx$[/tex]
[tex]$= 2\pi \left(\frac{8x^2}{2}-\frac{x^{7/2}}{7/2}\ \left|_0^4[/tex]
[tex]$=2\pi \left( 4x^2-\frac{2}{7}x^{7/2}\ |_0^4$[/tex]
[tex]$=2\pi \left( 64-\frac{2}{7} \times 32 \times 4 \right)$[/tex]
[tex]$=2\pi \left(1-\frac{4}{7} \right) 64$[/tex]
[tex]$=128 \pi \times \frac{3}{7}$[/tex]
[tex]$=\frac{384 \pi}{7}$[/tex]
Please help me solve this, and show your work
Answer:
16. 25/45 ; 18/45
17 4/7; 4/7
Step-by-step explanation:
5/9 and 2/5
The common denominator is 45
5/9 * 5/5 = 25/45
2/5 *9/9 = 18/45
4/7 and 12/21
Simplify 12/21 by dividing by 3 in the numerator and denominator
12/21 = 4/7
4/7; 4/7
The common denominator is 7
16:25/45;18/45
17: 4/7;4/7
Answer:
16:5/9;2/5
Common denominator is 9*5=45
now
make a equal denominator
5/9=5/9*5/5=25/45
2/5=2/5*9/9=18/45
and
17: 4/7;12/21
common denominator =7
4/7
12/21=4/7
Help me with this please I don’t understand
Answer: IT IS CONGRUENT BY ASA POSTULATE.
Step-by-step explanation:
ACCORDING TO THE GIVEN IMAGE
CONSIDER TRIANGLE 1 AS TRIANGLE ABC AND TRIANGLE 2 AS TRIANGLE PQR
IN TRIANGLE ABC AND PQR
ANGLE B = ANGLE C ( 90 DEGREES )
AC = PR ( GIVEN IN FIGURE )
A TRIANGLE HAS SUM OF INTERIOR ANGLES AS 180 DEGREES
IF ANGLE B AND ANGLE Q ARE 90 DEGREES, ANGLE A + ANGLE C = ANGLE P + ANGLE R
WE HAVE ALREADY PROVED THAT AC = PR
If two triangles have one angle equal to one angle, two sides adjoining the equal angles equal, namely, one side adjoining the equal angles, and one opposite the equal angles, and the remaining angles either both less or both not less than a right angle, then the remaining side equals the remaining side and the remaining angles equal the remaining angles.
SO ANGLE A = ANGLE P
THEREFORE BY ASA CONGRUENCY TRIANGLE ABC IS CONGRUENT TO TRIANGLE PQR
HOPE IT HELPS YOU......
(IF I HAVE MADE ANY MISTAKES PLS COMMENT BELOW)
Find the IQR and the Spread to this graph
Answer:
1 - 4
Step-by-step explanation:
26/4 = 6.5
IQR is the 7 - 19 item
1 - 4
For a given event, what is the result of dividing the number of successful
outcomes by the number of possible outcomes?
A. Outcomes
ОО
B. Probability
h
c. Sample space
D. Empirical data
Answer: B. Probability
For example, let's say you want to know the probability of flipping tails.
There's 1 way to get tails out of 2 sides total. So 1/2 = 0.5 is the probability of flipping tails.
We define "success" as "getting tails".
A high school football team has raised $1000 to spend on team jackets. The cost is $50 per jacket. Which equation below can be used to solve for the number of jackets the team can buy? Explain.
A. 50 = 1000n
B. 50n = 1000
C. 1000n = 50n
6/9 as a decimal rounded to 3 decimal places
Answer: 0.667
Step-by-step explanation:
6/9 ⇔ Given
2/3 ⇔ Simplify fraction
0.666... (repeating) ⇔ Convert fraction to decimal
0.667 ⇔ Round to 3 decimal (Since 6 is more than 5, thus we need to
rounding up)
Hope this helps!! :)
Please let me know if you have any questions
HELP!!! 15 points. picture below
Step-by-step explanation:
[tex] \sin( \alpha ) = \frac{ \sqrt{5} }{3} \\ \alpha = 48.19 \: degrees \\ \cos( \alpha ) = \frac{2}{3} [/tex]
Answer:
cos theta =± 2/3
Step-by-step explanation:
sin theta = sqrt(5) /3
sin theta = opp side / hypotenuse
We know that
a^2 + b^2 = c^2 from the pythagorean theorem
opposite side ^2 + adjacent side ^2 = hypotenuse ^2
( sqrt(5)) ^2 + adjacent side ^2 = 3^2
5 + adjacent side ^2 = 9
Subtract 5 from each side
5-5 + adjacent side ^2 = 9-5
adjacent side ^2 = 4
Taking the square root of each side
adjacent side = ±2
We know that
cos theta = adj side / hyp
cos theta =± 2/3
What is the probability of rolling 2 standard dice which sum to 9?
write and expression for the perimeter of a rectangle with length L and width 6
Answer:
P = 2(L + 6)
Step-by-step explanation:
The perimeter (P) of a rectangle is = 2(Length + Width)
Length = L
Width = 6
.: P = 2(L + 6)
Solve for ż in the following equation: 1 - iz=-1 +iz (where i? = -1). Simplify your answer as much as possible.
Answer:
z = -i
Step-by-step explanation:
1 - iz=-1 +iz
Add iz to each side
1 - iz+iz=-1 +iz+iz
1 = -1 +2iz
Add 1 to each side
1+1 = -1+1 +2iz
2 = 2iz
Divide by 2
2/2 = 2iz/2
1 =iz
Divide by i
1/i = iz/i
1/i =z
Multiply the left by i/i
i/i^2 = z
i/-1 =z
-i =z
FOR EASY BRAINLIEST:
ANSWER NUMBER: 14.
Answer:
Step-by-step explanation:
Answer:
y=-3/2x+4
Step-by-step explanation:
Identify the slope and y-intercept of each linear function's equation.
y = 3x - 1
slope = 3; y-intercept at -1
x-3=y
slope = -3; y-intercept at 1
y = 1 - 3x
slope = 1; y-interceptat -3
--x+ 3 = y
t
slope = -1; y-intercept at 3
Step-by-step explanation:
Concerning the peculiar interrogate, I will be providing correction(s) to the following answers inserted:
Y = 3x - 1
Slope = 3
Y-intercept = -1
X - 3 = y
Y = x - 3 <== Slope-Intercept Form.
Slope = 1
Y-intercept: -3
Y = 1 - 3x
Slope: -3
Y-intercept: 1
-x + 3 = y
Y = -x + 3 <== Slope-intercept Form.
Slope: -1
Y-intercept: 3
Thus, the following configurations have been defined or derived from the origin of the proposed interrogated.
*I hope this helps.
Help Please
Find The Surface Area Of The Prism
Answer:
360 cm^2
Step-by-step explanation:
Find the area of each face of the triangular prism.
Imagine the triangular prism as its net, it is composed with 2 triangular faces (these are tye bases of the prism) and 3 rectangular faces.
Areas of the 2 triangular bases (they are similar triangles):
1/2 x 8 cm x 6 cm = 24 cm^2
24 x 2 = 48 cm^2
Area of the rectangular face:
8 x 13 = 104 cm^2
Area of another rectangular face:
6 cm x 13 cm = 78 cm^2
Area of another rectangular face:
13 cm x 10 cm = 130 cm^2
Add up all the areas of all faces:
48 + 104 + 78 + 130 = 360
So the SA is 360 cm^2
Place the expressions that are equivalent under the corresponding expression in the table.
20
130
3
8.12
- 1)
2:2
12-1
21=-11 # 1 - 2
1212
II + 3)
472
I + 3 2(1 - 1)
-1 2:2
3(12 - 1)
32 – 23 – 3+.
Answer:
Step-by-step explanation:20
20 130 3 8.12 - 1) 2:2 12-1 21=-11 # 1 - 2 1212 II + 3) 472 I + 3 2(1 - 1) -1 2:2 3(12 - 1) 32 – 23– 3+.
HELP ME PLEASE
23. Two swimmers are training over a two-week period to increase the number of laps each can do consecutively. Swimmer A can do 14 laps to start, and increase her total by 3 laps each day. Swimmer B is charting her progress in the table below. Compare the initial values for each.
Answer:
Answer is A
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Answer is C because if swimmer A does 14 laps to start an 3 laps every day after that and on the chart swimmer B does 11 laps to start and 2 laps every day after that you would compare.
on day 3 swimmer B has 17 (shown on chart)
on day 3 swimmer A has 23 (14, 17, 20, 23)
if you would want it to complicate it 14:3 and 11:2
14 ÷ 14 is 1
3 ÷ 14 is .214
11 ÷ 11 is 1
2 ÷ 11 is .181
True or false..?
In a parallelogram, consecutive angles are supplementary.
Answer:
True
Step-by-step explanation:
Both pairs of opposite angles are congruent. parallelogram, rectangle, rhombus, square. Both pairs of opposite sides are congruent. parallelogram, rectangle, rhombus, square. All consecutive angles are supplementary. parallelogram, rectangle, rhombus, square. diagonals bisect each other. parallelogram, rectangle, rhombus, square.
Answer:
true
Step-by-step explanation:
any 2 consecutive angles are supplamentary
what is constant in graphing ?
Answer:
the constant is the number without an x attaches to it.
Ex:
y = 2x + 9
9 is a constant because it is not attached to any x
y = x^3 + 2x^2 + 10x + 19
19 is a constant because it is not attached to any x
(2.35 x 10^4) – (4.50 x 10^5)
Answer:
−426500
Step-by-step explanation:
Factor of 3x^3-x^2-20x-12
Answer:
(−3)(+2)(3+2)
Step-by-step explanation:
Factor by grouping
Factor by grouping
Factor by grouping
Factor by grouping
(−3)(32+8+4)
Factor by grouping
Factor by grouping
Factor by grouping
Factor by grouping
(−3)(+2)(3+2)
Tìm min: 4 căn x -5/ 3 căn x+2
Answer:
bgyuhjvy;uhclgcxfghvmdxultgjvffgxfbc hgv
Step-by-step explanation:
vgfdhvczczxcgfzdsdvcxfdghcbcd
what is 3 over 4 divided by 1 over 6
PLEASE HELPPPPPP!! I need to find x!!!!
Here
[tex]\\ \sf\longmapsto \frac{7}{x} = \frac{15}{10} \\ \\ \sf\longmapsto 7 \times 10 = 15x \\ \\ \sf\longmapsto 15x = 70 \\ \\ \sf\longmapsto x = \frac{70}{15} \\ \\ \sf\longmapsto \boxed{ \sf x = 4.6cm}[/tex]
Answer:
i can help you i know this answer
Find the missing part.
Z=
Answer:
Step-by-step explanation:
To answer this, we need only solve for x and then use Pythagorean's Theorem to find z. We have the length of the hypotenuse which is 15, and we also have the base angle of 60. To solve for x we can use the trig ratio
[tex]cos60=\frac{x}{15}[/tex] and
x = 15cos60 which gives us that
x = [tex]\frac{15}{2}[/tex]
Now we can use Pythagorean's Theorem to find z, the other leg of the big triangle.
[tex](\frac{15}{2})^2+z^2=15^2[/tex] and
[tex](\frac{225}{4})+z^2=225[/tex] and
[tex]z^2=225-\frac{225}{4}[/tex] and getting a common denominator:
[tex]z^2=\frac{900}{4}-\frac{225}{4}[/tex] and
[tex]z^2=\frac{675}{4}[/tex] now we take the square root by simplifying the radical to get
[tex]z=\frac{15\sqrt{3} }{2}[/tex]
and that's what goes into the blanks there, one number per blank.
Will mark most brainly
Answer:
19 and 157
Step-by-step explanation:
I have 15.00 and I want to go to the movies tickets cost 12.35 how much will I get back plz help
Answer:
2.65
Step-by-step explanation:
15.00 - 12.35 = 2.65
...I don't really know how do explain it but yeah thats the answer.
Hope it helps c:
10 POINTS!! PLEASE HELP!!
Answer:
only the third answer is right.
Step-by-step explanation:
to solve it, we need to bring everything to the same denominator (the expression below the division line) or eliminate it completely.
how do we do it ? by multiplying everything with the same expression, so that we can eliminate the denominator for every term.
when looking for the best option I see that
(x² + 5x + 6) = (x + 2)×(x + 3)
that is great, because this covers all 3 denominators in our main expression.
so, we multiply everything by ((x+2)×(x+3)) and eliminate the denominators and the corresponding part of our multiplier.
that leaves us with
x×(x+3) + 2 = 5×(x+2)
now we simply simplify the expression
x² + 3x + 2 = 5x + 10
x² - 8x - 8 = 0
a squared equation has typically 2 solutions. and they are defined as
x = (-b ± sqrt(b² - 4ac)) / (2a)
in our case
a = 1
b = -8
c = -8
x = (8 ± sqrt(64 + 32)) / 2 = (8 ± sqrt(96))/2 =
= (8 ± sqrt(16×6))/2 = (8 ± 4×sqrt(6))/2 = 4 ± 2×sqrt(6)
x1 = 4 + 2×sqrt(6)
x2 = 4 - 2×sqrt(6)
both solutions are different from -2 or -3, therefore -2 and -3 are not solutions at all, and they cannot be extraneous solutions either for that reason.
and since we have 2 perfectly fine solutions, the answer options work no or only one solutions are wrong too.