Answer:
Granddaughter = 8
Grandfather = 72
Step-by-step explanation:
Let :
Granddaughter's age = x
Grandfather's age = y
y = 9x
Age in 8 years :
Granddaughter's age = x + 8
Grandfather's age :
y + 8 = 5(x + 8)
y = 9x
Then ;
9x + 8 = 5(x + 8)
9x + 8 = 5x + 40
9x - 5x = 40 - 8
4x = 32
x = 32 / 4
x = 8
y = 9x = 9*8 = 72
A section of a deck is shaped like a trapezoid. For this section, the length of one base is 37 feet, and the length of the other base is 46 feet. The height is 20 feet. What is the area of this section of the deck?
Answer:
[tex]A=830\ ft^2[/tex]
Step-by-step explanation:
Given that,
The length of one base is 37 feet, and the length of the other base is 46 feet. The height is 20 feet.
We need to find the area of this section of the deck that is shaped like a trapezoid.
The area of a trapezium is given by :
[tex]A=\dfrac{a+b}{2}\times h[/tex]
a = 37 ft, b = 46 ft and h = 20 ft
Put all the values,
[tex]A=\dfrac{37+46}{2}\times 20\\\\A=830\ ft^2[/tex]
So, the area of this section of the deck is equal to [tex]830\ ft^2[/tex].
PLEASE HELP WITH ALL QUESTIONS WORTH ALOT OF POINTS
Answer:
1) -311
2) 26 p^6 h^4
3) 18 x^2 y^5 z^7
4) -20 c^4
is correct answer.
i guess you dont know this '' ^ '' . this mean take that number in power,
All the best
Step-by-step explanation:
(WILL GIVE BRAINLIEST)What is the total surface area of a rectangular block whose
length, width, and height are 12, 10, and 4 respectively?
ANSWER CHOICES:
480
416
208
104
Answer:
480
please mark brainliest
7x+7=3x+27
What is the value of x
Amber wants to go to a university where the tuition is $7500 per year. She has a scholarship that pays for 50% of his tuition. Her parents have given her $2000 toward her first year's tuition. How much money does Amber need to save to be able pay for first year of her college?
Answer:
1750
Step-by-step explanation:
divide 7500 by 2 and you get 3750
3750-2000=answer
Answer:
1750
Step-by-step explanation:
7500/2=3750 (amount paid by scholarship). This leaves her owing 3750 but her parents are paying 2000.
3750-2000=1750 needed to save.
Mackenzie's business trip included driving to a conference that was 470 miles away. If she averaged 55 miles per hour, how long did it take her to get to the conference?
Answer:
About 8.5 hours
Step-by-step explanation:
Divide the total number of miles by the number of miles driven per hour. 470 divided by 55 is about 8.5, so it took her about 8.5 hours to get to the conference.
8 (x + 4) = 62.4 what does x represent
Answer:
8 (3.8 + 4)
Step-by-step explanation:
x=3.8
help pls i have 5 minss, no links
Answer:
3/25
Step-by-step explanation:
Can someone please help me? I don't understand how to do this. I need to multiply this polynomial 3(X-2)^4. Also, the ^4 means the power of 4, or exponent 4.
Answer:
do you need a graph of it or it just multiplied out step by step?
Answer:
3x^4-24x^3+72x^2-96x+48
Step-by-step explanation:
1. (x-2)^4
=(x-2)(x-2)(x-2)(x-2)
=x^4-8x^3+24x^2-32x+16
2. 3(x^4-8x^3+24x^2-32x+16)
=3x^4-24x^3+72x^2-96x+48
What is the equation for -19 = b - 6
Answer:-13=b, b=-13
Step-by-step explanation: Move -6 to the other side, which turns it to positive. Now you subtract -19+6=-13
Answer:
[tex]b=-13[/tex]
Step-by-step explanation:
[tex]-19 = b - 6[/tex]
Switch sides
[tex]b-6=-19[/tex]
Add 6 to both sides
[tex]b-6+6=-19+6[/tex]
Simplify
[tex]b=-13[/tex]
solve for x 1.6 equals 12.8
Answer: x=14.4
Step-by-step explanation:
Cate and Elena were playing a card game. The stack of cards in the middle had 27 cards in it to begin with.
Cate added 7 cards to the stack. Elena then took 10 cards from the stack. Finally, Cate took 6 cards from
the stack. How many cards were left in the stack?
There were
cards left in the stack.
Answer:
18
Step-by-step explanation:
You would have 27 then add 7 subtract 10 and subtract 6 to get 18.
Directions: Find the odds and the probability of the event(s) occuring.
You roll a fair six-sided die twice. The
first roll shows a one and the second roll
shows a two.
Plone and then two) =
Odds =
Answer:
1/36
Step-by-step explanation:
Find the measure of the exterior angle.
[tex] \huge{ \mathfrak{ Answer }}[/tex]
Exterior angle = sum of opposite interior angles,
so,
[tex] \boxed{(t + 10 )+( t )= 180-(t + 20)}[/tex]
[tex]2t + 10 = 180 - t - 20[/tex][tex]2t + t = 160 - 10[/tex][tex]3t = 150[/tex][tex]t = 50[/tex]value of t = 50°
[tex] \boxed{Exterior \: \: angle = 180 -(t + 20)}[/tex]
[tex]180 - (50 + 20)[/tex][tex]180 - 70[/tex][tex]110°[/tex]measure of exterior angle is 110°
[tex] \normalsize{ \#TeeNForeveR}[/tex]
can someone please help me with circle similarity?
Answer: were is your qustion at
plz make brainly
Step-by-step explanation:
help please :) show work?! NO LINKS BRO
Construct a circle and divide it into six congruent arcs. Inscribe an equilateral triangle. Draw diameters from each vertex of the triangle > Inscribe a circle in the triangle. (Hint: the inscribed circle will have the same center as the original circle.) ► Inscribe an equilateral triangle in the second (smaller) circle, with endpoints on the diameters previously drawn. Shade to highlight the pattern.
KHAN ACADEMY..... AGAIN..
Answer:
x = 12
Step-by-step explanation:
10x+24 = 6x+72
10x - 6x = 72 - 24
4x = 48
x = 12
Answer:
144
Step-by-step explanation:
10x+24=6x+72
-6x -6x
4x+24=72
-24 -24
4x=48
/4 /4
x=12
<A=10(12)+24
<A=120+24
<A=144
Ten students participated in the 4 mile relay. Each student ran a fraction of the 4 miles. Chooses which line plot could represent the data of the runners. Explain your reasoning.
Answer:
B
Step-by-step explanation:
We can determine the total miles run by the 10 students by adding all the miles run by each individual student:
A
1 student * 1/12 miles = 1/12 miles
2 students * 1/8 miles = 2/8 miles = 1/4 miles
1 student * 1/6 miles = 1/6 miles
2 students * 1/4 miles = 2/4 miles = 1/2 miles
1 student * 1/3 miles = 1/3 miles
3 students * 1/2 miles = 3/2 miles
We add all these fractions to obtain 17/6, which is approximately 2.83, which is not as the question describes.
B
2 students * 1/6 miles = 1/3 miles
2 students * 1/4 miles = 1/2 miles
2 students * 1/3 miles = 2/3 miles
3 students * 1/2 miles = 3/2 miles
1 student * 1 mile = 1 mile
We add all these fractions to obtain 4 miles, which is as the question describes.
1. Valerie's monthly income is $300 and her monthly expenses are $250. How much money
could Valerie save in the next eight months without changing her income or expenses?
Answer:
$400
Step-by-step explanation:
What does the a equal in this problem: 27 = 3°?
Answer:
a= 3
Step-by-step explanation:
factorise
3(m-4)+b(4-m)
Answer:
-(m-4)(b-3)
Step-by-step explanation:
Add and subtract the second term to the expression and factor by grouping
Answer:
(m-4) (3-b)
Step-by-step explanation:
See the steps below:)
PLEASE I NEED HELP!! NO LINKS!!
Answer:
m<N = 32°
m(NQ) = 106°
Step-by-step explanation:
Inscribed angle = ½ of the measure of the intercepted arc (inscribed angle theorem)
<N is an inscribed angle
It's intercepted arc = arc MP = 64°
Therefore,
m<N = ½(64°)
m<N = 32°
m<P = ½(m(NQ)) (inscribed angle theorem)
53° = ½(m(NQ))
Multiply both sides by 2
2*53° = m(NQ)
106° = m(NQ)
m(NQ) = 106°
H(x)= ⎩ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎨ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎪ ⎧ 8+6x x+4 10 4x−3 , , , x<−7 −7≤x<−5 x≥−5
Answer:
[tex]h(-6) = -\frac{1}{5}[/tex]
Step-by-step explanation:
Given
[tex]h(x) =\left[\begin{array}{cc}8 + 6x\ \ &x < -7\\\frac{x + 4}{10} &-7 \le x <-5 \\4x - 3\ &x \ge -5\end{array}\right[/tex]
Required
Determine h(-6)
To do this, we make use of:
[tex]h(x) = \frac{x + 4}{10}[/tex]
Because [tex]-7 \le -6 <-5[/tex]
So, we have:
[tex]h(x) = \frac{x + 4}{10}[/tex]
[tex]h(-6) = \frac{-6 + 4}{10}[/tex]
[tex]h(-6) = \frac{-2}{10}[/tex]
Simplify
[tex]h(-6) = -\frac{1}{5}[/tex]
The sum of 5 times a larger number and twice a smaller is 5. The difference of 4 times the larger and the smaller number is 4. Find the numbers.
Answer:
1 and 0
Step-by-step explanation:
Let's call the smaller number x and the larger number y.
This means 5y+2x=5.
Also, 4y-x=4.
This is a system of equations. There are two main ways two solve this.
Method 1: Substitution
5y+2x=5
4y-x=4
Solve for one of the variables, then substitute it back into one of the equations to solve for the other variable.
I will take 4y-x=4 and solve for x.
4y=4+x
x=4y-4
Then substitute for x in the other equation and solve for y.
5y+2x=5
5y+2(4y-4)=5
5y+8y-8=5
13y=13
y=1
Now we can go back to our equation for x and substitute for y.
x=4y-4
x=4(1)-4=0
y, the larger number, is 1 and
x, the smaller number, is 0
Method 2: Elimination
5y+2x=5
4y-x=4
Change the equations so that the coefficient of one of the variables in an equation is opposite the one in the other equation. Then add the equations and solve for each variable.
If I multiply both sides of the second equation, 4y-x=4, by 2, the coefficient of x will become -2. In the first equation, the coefficient is 2, so they will become opposites.
4y-x=4
becomes
8y-2x=8
Now we have 5y+2x=5 and 8y-2x=8.
Add the sides of both equations to cancel the x values.
5y+2x+8y-2x=5+8
13y=13
y=1
like last time, we can substitute for y in any of the original equations to get x.
5y+2x=5
5(1)+2x=5
5+2x=5
2x=0
x=0
y, the larger number, is 1 and
x, the smaller number, is 0
solve each equation using the substitution method.
42=3p
Answer:
14
Step-by-step explanation:
42=3p
42/3=3p/3
14=p
Miss McIntosh leaves a $6.75 tip for her waiter. If her tip was 20% of the cost of her meal, what was the cost of her meal?
Answer: 72$
Step-by-step explanation:
because
ace or expert pls help is this right
In the image provided by you, it is asked that, what percentage of the individuals rode the Ferris Wheel and not the roller coaster?
____________________Solution :-Given Information :-Individuals who rode both roller coaster and Ferris Wheel ➢ 46Individuals who rode Ferris wheel but not the roller coaster ➢28Individuals who rode roller coaster but not the Ferris wheel ➢24 Individuals who neither rode roller coaster nor the Ferris wheel ➢ 14Total Number of Individuals who rode roller coaster ➢ 70Total Number of Individuals who rode the Ferris Wheel ➢74Total Number of Individuals who did not ride roller coaster ➢ 42Total Number of Individuals who did not ride the Ferris wheel ➢38Total Number of Individuals who went to amusement park ➢ 112To Find :-Percentage of Individuals who rode Ferris wheel but not the roller coaster. Formula Used :-Percentage of Individuals who rode the Ferris Wheel but not the roller coaster =[tex] \sf \frac{individuals \: who \: rode \:the \: ferris \: wheel \: but \: not \: roller \: coaster }{total \: number \: of \: individuals \: who \: went \: to \: amusement \: park} [/tex]
Calculation :-Substituting the values given in the formula, We get,
⇒ Percentage of Individuals who rode the Ferris Wheel but not the roller coaster = [tex] \sf \frac{individuals \: who \: rode \:the \: ferris \: wheel \: but \: not \: roller \: coaster }{total \: number \: of \: individuals \: who \: went \: to \: amusement \: park} [/tex]
⇒ Percentage of Individuals who rode the Ferris Wheel but not the roller coaster = [tex] \sf \frac{28 }{112} [/tex]
Calculating further, We get,
⇒ Percentage of Individuals who rode the Ferris Wheel but not the roller coaster = [tex] \sf \frac{1 }{4} [/tex]
Now, to convert any fraction into percentage, We multiply it by 100, We get,
⇒ Percentage of Individuals who rode the Ferris Wheel but not the roller coaster = [tex] \sf \frac{1 }{4} \times 100 [/tex]
Calculating further, We get,
⇒ Percentage of Individuals who rode the Ferris Wheel but not the roller coaster = [tex] \bf 25\% [/tex]
____________________Final Answer :-Percentage of Individuals who rode the Ferris Wheel but not the roller coaster = 25%Therefore, option A. 25% is the correct answer.____________________Note :-Please scroll from right to left to see the whole solution.Please help me with this question
Answer:
I think B .......................................
Please hurry, this is past due!
A triangle has an altitude with height 7 cm. Which of the following have a proportional relationship to the height? Select all that apply.
A.The perimeter
B.The sides
C.The angles
D.The area
E.The vertices