Answer:
38.5 years old
Step-by-step explanation:
Let us represent Mrs.Kelly's age with the parameter (k). It is given that her brother is (15) years younger than her, thus his age is (k - 15). It is given that the sum of their ages is (62). Therefore one can form an equation with the given information and solve for the unknown.
(Mrs.Kelly's age) + (Brother) = (62)
Substitute,
(k) + (k - 15) = 62
Simplify,
k + k - 15 = 62
2k - 15 = 62
Inverse operations,
2k - 15 = 62
2k = 77
k = 38.5
John, Jack, Jim, and Joe all decided to take up horseback riding. Jim went twice as many times as Jack, and John went four more times than Joe but three less times than Jim. Joe went 15 times altogether. How many times did Jack go?
Answer:
11 times
Step-by-step explanation:
Given
[tex]Jim = 2 * Jack[/tex]
[tex]John = 4 + Joe[/tex]
[tex]John = Jim - 3[/tex]
[tex]Joe = 15[/tex]
Required
Find [tex]Jack[/tex]
Substitute [tex]Joe = 15[/tex] in [tex]John = 4 + Joe[/tex]
[tex]John = 4 + 15[/tex]
[tex]John = 19[/tex]
Substitute [tex]John = 19[/tex] in [tex]John = Jim - 3[/tex]
[tex]19 = Jim - 3[/tex]
Collect like terms
[tex]Jim = 19 +3[/tex]
[tex]Jim = 22[/tex]
Substitute [tex]Jim = 22[/tex] in [tex]Jim = 2 * Jack[/tex]
[tex]22 = 2 * Jack[/tex]
Divide both sides by 2
[tex]Jack = \frac{22}{2}[/tex]
[tex]Jack = 11[/tex]
4x²+4x-14=0
Solve without
Calculator. it came on a non calc exam. brainliest answer.
The sun of interior angles of a regular polygon is 1260°.Calculate the number of sides of the polygon and the size of each exterior angle.
Answer:
a)The number of sides of the polygon = 9 sides
b) The size of each exterior angle = 40°
Step-by-step explanation:
The sun of interior angles of a regular polygon is 1260°.Calculate the number of sides of the polygon and the size of each exterior angle.
a) The number of sides of the polygon
We solve using the formula
S = ( n - 2 ) × 180 °
Where S = Sum of the Interior angles = 1260°
1260° = (n - 2) × 180°
Divide both sides by 180°
1260°/180° = n - 2
7 = n - 2
n = 7 + 2
n = 9 sides
b) The size of each exterior angle
The sum of each exterior angle of a polygon = 360°
Hence, size of each exterior angle = 360°/number of sides of the polygon
= 360°/9
= 40°
Evaluate the expression. 202 + 6(9 + 3) =
Answer:
274
Step-by-step explanation:
202 + 6(9 + 3) =
PEMDAS says parentheses first
202 + 6(12) =
Then multiply
202 +72
Then add
274
Answer:
274
Step-by-step explanation:
202 + 6(9 + 3)
202 + 6(12)
202 + 72
274
Please give real answers with an explaination. 50 points + 5-star rated. No Docs/No Files/No Links only answer with explaination.
Answer:
Te diagonal of a kite will form a parallelogram.
explanation:
Kite properties include (1) two pairs of consecutive, congruent sides, (2) congruent non-vertex angles and (3) perpendicular diagonals. Other important polygon properties to be familiar with include trapezoid properties, parallelogram properties, rhombus properties, and rectangle and square properties.
hope it helps
Mark me as brainlist
Which of the following are one-dimensional figures?
Check all that apply.
Answer:
2&3
Step-by-step explanation:
The total perimeter of a square shaped
garden is of a meter. Find the dimensions of the
garden.
Please helppp I need it fasttttttt
Answer:
this makes no sence
Step-by-step explanation:
you did no include any of the details needed
Mrs. Hanger is painting the following picture of an H to hang in the entryway of her home. She has made the following scale drawing as her model. The scale used on the drawing is 1:6.
As you can see, the "H" is going to be painted brick red in the center of a rectangular beige background. This means the distance from the "H" to the top of the picture will be the same as the distance from the "H" to the bottom of the picture. Similarly, the distance from the "H" to the left side of the picture will be the same as the distance from the "H" to the right side of the picture. Finally, each segment of the "H" will have the same width.
What is the actual width of the painting?
What is the actual height of the painting?
On the scale drawing, the top edge of the "H" is inches from the top edge of the drawing. What is the actual height of the "H"?
What is the actual width of the "H" (through the center)?
What is the actual distance from the left edge of the painting to the left edge of the "H"?
actual width of the painting: inches
actual height of the painting: inches
actual height of the "H"?: inches
actual width of the "H" (through the center): inches
actual distance from the left edge of the painting to the left edge of the "H": inches
text mentions a scale model... wich we can't see here unless you post it
probability, please help i will give brainliest
If the product of two numbers and is 180 and their HCF is 3, then find the LCM of and .
Answer:
60
Step-by-step explanation:
Product of the two numbers = HCF* LCM
[tex] \therefore \: 180 = 3 \times lcm \\ \\ \therefore \: lcm = \frac{180}{3} \\ \\ \therefore \: lcm = 60[/tex]
pls heeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeelp
An animal starts from rest and accelerates to its top speed in 7 seconds. It continues at this speed for 9 seconds and then slows to a stop in a further 4 seconds. Calculate the total distance that the animal travelled
Answer:
hggffffxdfffdsddfdohgfffdedss
PLEASE HELPPPPP
I WILL GIVE THE BRAINIEST THINGY
Answer:
The answer is the last one....
Step-by-step explanation:
Sorry for possible a vague answer, but you can divide out all the answers and you will see that only the last one proves the point...
if you do these problems in a class you are taught for sum/diff of cubes
the pattern ( a b) (a^ ab b^2) ...notice that there are no signs between the variables... the next teaching point is that the signs use this pattern...
"SAME" , "OPPOSIT", "ALWAYS A PLUS"... that is not me look that up in an algebra book.. same opposite, always a plus... I think some people call is "SOAP" same, opposite Always plus (that works) ....
bottom line here is that you answer needs cubes under the division, and the
end part has to have a "+" , given that after multiplying by "-b" you have to end up with a "-B^3" only a "+b^2" will do , that is consistent with the fourth answer
What does b stand for in this equation?
3b=12
A 1
B 2
C 3
D 4
Answer:
4
Step-by-step explanation:
3b=12
Divide each side by 3
3b/3 =12/3
b =4
Answer:
D. 4Step-by-step explanation:
Given,
3b = 12
=> b = 12 ÷ 3
=> b = 4 (Ans)
Solve for M and show work
What is the conjugate? x - square root 2
Answer:
conjugate of (x-[tex]\sqrt{2}[/tex]) is (x+[tex]\sqrt{2}[/tex])
Step-by-step explanation:
Which statement is true about Angle C P B?
Answer:
Step-by-step explanation: the second answer im not vary sure but ist kinda resonable
when Maria was born, her mother was 24 years old. At present, Maria's age is 20% of her mother's age. How old is Maria now?
Answer:
the mother is older than maria by 24 years.
if Maria's age = x
mother's age = x+24
x=0.2(x+24)
x=0.2x+4.8
x-0.2x= 4.8
0.8x=4.8
x=4.8/0.8
x=6
Maria's age is 6 years
100 POINT PLEASE HELP QUICK!!!!
Answer:
[tex]adjacent = \sqrt{ {50}^{2} - {14}^{2} } = 48 \\ \\ \sin(Q) = \frac{14}{50} = \frac{7}{25} \\ \cos(Q) = \frac{48}{50} = \frac{24}{25} \\ \tan(Q) = \frac{14}{48} = \frac{7}{24} [/tex]
[tex] \sin(R) = \frac{48}{50} = \frac{24}{25} \\ \cos(R) = \frac{14}{50} = \frac{7}{25} \\ \tan(R) = \frac{48}{14} = \frac{24}{7} [/tex]
Base
√50²-14²√2500-196√48²48Now
sinQ=P/H=14/50cosQ=B/H=48/50tanQ=P/B=14/48cotQ=B/P=48/14secQ=H/B=50/48cosecQ=H/P=50/14. Please HELP me WITH this EQUATION ; A triangle has two base angles of 35º and another angle of 110º. Select any words which accurately describe the triangle. AObtuse-angled BScalene CEquilateral DRight-angled EIsosceles FAcute-angled
Answer:
Isosceles
Step-by-step explanation:
find two numbers if their sum is 115 and their difference is 7
Answer:
54+61
Step-by-step explanation:
54 + 61 = 115
61 - 54 = 7
Which statement describes the solutions of this equation?
A. The equation has no valid solutions and two extraneous solutions
B. The equation has one valid solution and no extraneous solutions
C. The equation has one valid solution and one extraneous solution
D. The equation has two valid solutions and no extraneous solutions
Answer:
D
Step-by-step explanation:
[tex]\text{Solve for x:}\\4x + 54 = 55\\\\\text{Thank you.}[/tex]
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]x = \frac{1}{4}[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Solving the equation for x...}}\\\\4x + 54 = 55\\----------\\\rightarrow 4x + 54 - 54 = 55 - 54\\\\\rightarrow 4x = 1\\\\\rightarrow \frac{4x=1}{4}\\\\\rightarrow \boxed{x=\frac{1}{4}}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]
[tex]\sf{4x+54=55 }[/tex] [tex]\sf{ 4x=55-54 }[/tex] [tex]\sf{4x=1 }[/tex] [tex]\sf{x=\dfrac{1}{4} }[/tex] [tex]\sf{ }[/tex]put the following equation of a line into slope intercept form simplifying all fractions 10x-2y=6
Answer:
Slope-Intercept form: y = m x + b
y = value of y corresponding to value of x
2 y = 10 x - 6
y = 5 x - 3 equation of line where m is the slope and -3 value of y when x
equals zero
Mr sharma can do 1/15part of piece of work in 1 day he worked for 3 days and left if Vishnu finished the remaining work how much work is done by bishnu?
Answer:
12/15
Step-by-step explanation:
if in one day mr sharma did 1/5 part of piece of work and he worked three days he did 3/15, if vishnu finished the remaining work then he did 12/15 parts, they did 15/15
A sphere and a cylinder have the same radius and height. The volume of the cylinder is 18 centimeters cubed.
A sphere with height h and radius r. A cylinder with height h and radius r.
What is the volume of the sphere?
12 centimeters cubed
24 centimeters cubed
36 centimeters cubed
54 centimeters cubed
Answer:
12 cm^3
Step-by-step explanation:
Before we do anything, we should set up the proportion.
[tex]\frac{\pi * r^2*h}{\frac{4\pi r^3}{3}} = \frac{18}{x}[/tex]
Now do the Cancelations of \pi r^2 on the left.
h// (4/3) r = 18/x
but h = 2*r
2r // (4/3) * r = 18/x Cancel the rs on the left
2// (4/3) = 18/x Make 2 = 2/1 so you can handle the fraction
2/1 // (4/3) = 18/x Invert and multiply the denominator
2/1 * 3/4 = 18/x
6/4 = 18x You can reduce the left side
3/2 = 18x Cross multiply
3x = 2*18 Combine the right
3x = 36 Divide by 3
x = 12
So what you have found is the volume of the sphere. 12 cm^3
This is a very interesting question. Keep in mind that physics does this all the time for any of the force formulas (but not all).
I'm a little long winded here, but the first time you see this, you should be given very small steps.
help plzzzzzzzzzzzzzzzzz asap i don't have time i will give brainlist
Step-by-step explanation:
i. Looking at the table, he got 3 odd numbers out of 9 scored so the probability is 33% or 3/9 or 1/3
ii. He got 4 square numbers so the probability is 4/9( remeber 0 is a square number).
iii. Only two number are multiples of 5 so the probability is 2/9.
iv. No number is greater than 15 so the answer is 0%
v. 5 numbers are less than zero so the answer is 5/9
Round 47.44 to 1 decimal place
Answer:
47.4 is the correct answer.
Step-by-step explanation:
Helpful?❤️
Answer:
47.4
Step-by-step explanation:
47.44
47.40
47.4
Let f(x) = x + 9 + 2, find f(0), f(7), and f(-5).
Answer:
f(0) = 0 + 9 + 2
f(0) = 11
f(7) = 7 + 9 + 2
f(7) = 18
f(-5) = -5 + 9 + 2
f(-5) = 4 + 2
f(-5) = 6
thank you
Answer:
Step-by-step explanation:
f(x)=x+9+2
substitute o in place of x
f(0)=0+9+2
=11
f(x)=x+9+2
substitute 7 in place of x
f(x)=7+9+2
=18
f(x)=x+9+2
substitute -5 in place of x
(-5)=-5+9+2
=-5+11
=6
Hope this helps u!!
What is the radius and diameter of each circle ?
Please help