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]
3(x + 1)2 = 108
Create a list of your steps
Answer: 17
Step-by-step explanation:
3(x+1)2=108
Distribute the 3 first: (3x+3)2=108
Then divide by 2 on both sides: 3x+3= 54
Subtract 3 from both sides: 3x=51
Divide by 3 on both sides: x=17
10 cm
12 cm
20 cm
12 + x
G
12 cm
A
X
Answer:
x = 12 cm and y = 24 cm
Step-by-step explanation:
Three sides of the first triangle are 10 cm, 12 cm and 12 cm.
Three sides of second triangle are 20 cm, 12+x cm and y cm.
As these two triangles are similar, it means,
[tex]\dfrac{10}{20}=\dfrac{12}{12+x}=\dfrac{12}{y}\\\\\dfrac{1}{2}=\dfrac{12}{12+x}=\dfrac{12}{y}\\\\\dfrac{1}{2}=\dfrac{12}{y}\ \text{and}\ \dfrac{1}{2}=\dfrac{12}{12+x}\\\\y=24\ cm\ \text{and}\ 24=12+x,x=12 cm[/tex]
So, the value of x is 12 cm and that of y is 24 cm.
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
Which shows the expressions in the order they would appear on a number line from least to greatest? 043 140 13 14 9 OM 17. 173. 140.43 04°. 57. 1139 OVAO 113. 17.40
Answer:
[tex]\frac{14}{9}, \sqrt{7}, \sqrt{13}, \sqrt{40}, 4^3[/tex]
Step-by-step explanation:
Given
[tex]4^3, \sqrt{40}, \sqrt{13}, \frac{14}{9}, \sqrt 7[/tex]
Required
Order from least to greatest
First, we solve for each expression
[tex]4^3 = 64[/tex]
[tex]\sqrt{40} = 6.32[/tex]
[tex]\sqrt{13} = 3.61[/tex]
[tex]\frac{14}{9} = 1.56[/tex]
[tex]\sqrt{7} = 2.66[/tex]
From least to greatest, we have:
[tex]1.56, 2.66. 3.61, 6.32, 64[/tex]
Hence, the list is:
[tex]\frac{14}{9}, \sqrt{7}, \sqrt{13}, \sqrt{40}, 4^3[/tex]
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!!
HELP ME PLSSS
The graphs below have the same shape. What is the equation of the blue
graph?
g(x) =
O A. g(x) = (x - 4)2 + 1
O B. g(x) = (x + 4)2 + 1
O C. g(x) = (x – 4)2 - 1
O D. g(x) = (x + 4)2 - 1
The number of bicycles in the repair shop is 5 times the amount of tricycles in the shop. There is a total of 39 wheels. How many bicycles are in the shop?
Answer:
15 bicycles
Step-by-step explanation:
ratio of bicycles to tricycles is 5:1 because it is 5 times greater and tricycle has 3 wheels and bicycles have 2 so i take 5 from the ratio and make a equation 5(2)+3(1)=13
i then divide 39 by 3 and get 3 i then take 3 and multiply it with it for the whole equation and find that 15 is the number of bicycles.
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)
7. Which has the strongest correlation?
(1) r=0.7
(2) r = 0.1
(3) r=-0.75
(4) r=-0.99
Answer:
76yhgdttyhgfd
Step-by-step explanation:
nhjgklh/f
PLEASE SOMEONE HELP ME PLEASE PLEASE PLEASE
ANSWER EXPLANATION = BRAINLIEST
You can transform ⨀P to ⨀P' by translating it and then performing a dilation centered at P'. Find the translation rule and the scale factor of the dilation.
You can transform ⨀P to ⨀P' by translating it and then performing a dilation centered at P'. Find the translation rule and the scale factor of the dilation.
Simplify the scale factor and write it as a proper fraction, improper fraction, or whole number.
Translation: (x,y)↦( ____, ____)
Scale factor: ?
Step-by-step explanation:
Translation: (x,y)↦( 9, -12)
Scale factor: 2
Translation:
(x,y)↦( 9, -12 )
Scale factor:
2 is the required answer.
What is 4/5 of 2kg in grams
Answer: 1600g
Step-by-step explanation: (4 * 2kg) / 5 = 8/5kg
8/5kg = 1.6kg
1.6kg * (1000g / 1kg) = 1600g
Answer:
1 3/5kg.
Step-by-step explanation:
So, to figure this out, lets go over what we know.
There is 2kg.
We need to find 4/5 of this.
A way you can think of this is 2kg*4/5. Or:
2*4/5
Remember, all whole numbers have a denominator of 1. So this is:
2/1*4/5
Or
[tex]\frac{2}{1} *\frac{4}{5}[/tex]
When doing multipaction, the numerator multipies hte numeraot, and the denominator multiplies the denominator.
So in the numerator, it will be 2 times 4:
2*4=8
And in the denominator, it will be 1 times 5:
1*5=5
So the answer is:
8/5
Hope this helps!
If t and m are positive, t^2 + m^2 = 64 and (t+m)^2 = 98, what is tm?
(A) 162
(B) 130
(C) 81
(D) 34
(E) 17
Answer:
17
Step-by-step explanation:
t^2 + m^2 = 64
(t+m)^2 = 98
(t+m)^2 = t^2 +2tm+ m^2
==>
t^2 +2tm+ m^2 = 98
t^2+m^2+2tm=98
64+ 2tm=98
2tm = 98 -64
2tm=34
tm= 34/2
tm = 17
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
Determine whether each side with given lengths is a right triangle.
A. a=5, b=10 and c=15
B. a=11, b=60 and c=61
Answer:
61
Step-by-step explanation:
lenths is a right anglre
What inequality is shown
Answer:
Y ≤ X + 6
Step-by-step explanation:
Not sure if this is correct
Answer:
y<1/5x+6
Step-by-step explanation:
< bcs below line
dotted line means not equal(≤)
The roof leading to the top of a hill has an angle of elevation of 23 degrees. The hill is 120 feet high what is the leanth of the road to the top of the hill to the nearest hundredth
Answer: [tex]307.11\ ft[/tex]
Step-by-step explanation:
Given
The height of hill is 120 ft and the angle of elevation is [tex]23^{\circ}[/tex]
Suppose the length of the road is [tex]x[/tex]
From the figure, we can write
[tex]\Rightarrow \sin 23^{\circ}=\dfrac{120}{x}\\\\\Rightarrow x=\dfrac{120}{\sin 23^{\circ}}\\\\\Rightarrow x=307.11\ ft[/tex]
Thus, the length of the road is [tex]307.11\ ft[/tex]
What equation created the table on the left?
What equation created the table on the right?
Answer:
Equation on the left table: y = 3/5x
Equation on the right table: y = 3/5x - 2
Which symbol correctly completes the statement?
-7 + 2 ___ 3 + (-9)
>
<
=
?
Answer:
-7 + 2 ___ 3 + (-9)
lets break this up
-7+2=-5
3+(-9) or 3-9 = -6
so the correct one is...
B: <
pls heeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeelp
4x²+4x-14=0
Solve without
Calculator. it came on a non calc exam. brainliest answer.
Brainliest goes to whoever answers correctly and explains also if you want extra points answer my other questions
Answer:
Step-by-step explanation:
y = mx + c (slope/intercept form)
c = 0 (this is the y intercept)
The format will be of y = mx
The gradient acts as the slope (m)
'y' acts as the line represented on the graph, or the 'times visited'
'x' is the independent variable, or the 'days for sale'
m = 10/5 = 2 (rise/run on the line shown)
m = 2
y = 2x
40 days > . y = (2 x 40), y = 80 (number of times the house has been visited)
70 times visited > . 70 = 2x
70 / 2 = 35
x = 35 (days for sale)
Solve the system of equations.
y = 2x
y = x2-8
O A. (2, 4) and (-4,-8)
O B. (-2,-4) and (-4,-8)
O C. (2, 4) and (4,8)
O D. (-2,-4) and (4,8)
Answer:
D
Step-by-step explanation: Time Stamp (6 9 10 32)
Easiest way is to graph both equation and look for the intersections see attached sreen shot
or solve by substitution
y = 2x
y = x²- 8
2x = x²- 8 solve for x
0 = x² - 2x - 8 factor
0 = (x - 4)(x + 2)
0 = 0 when x = 4 and -2
calculate the y values
y = 2x x = 4
y = 8 (4, 8)
y = 2x x = -2
y = -4 (-2, -4)
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Which of the following are one-dimensional figures?
Check all that apply.
Answer:
2&3
Step-by-step explanation:
Solve for M and show work
9. Leonard made a deposit of $4,500 into a
savings account which earns 7% annual
compound interest. Assuming he makes no other
deposits or withdrawals, which of the following
shows the amount of interest his account should
earn after 15 years?
A. $12,415.64
B. $7, 915.64
C. $16,915.64
D. $8,115.64
(please help, it’s urgent) :)
Answer:
id say a
Step-by-step explanation:
The amount of interest his account should earn after 15 years is:
$7, 915.64.
Here, we have,
Compound interest is when you earn interest on both the money you've saved and the interest you earn.
Formula:
A = P(1 + {r}/{n})^{n.t}
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
Here, given that, P =$4,500 , r= 7%, t=15yr , n=365days
Let, A= x
Now, x =$4,500(1+7/100×365)^(365×15)
x=$12415.64
i.e. final amount = $12415.64
so, the amount of interest his account should earn after 15 years is:
$12415.64 - 4500 = $7, 915.64
Hence, the amount of interest his account should earn after 15 years is: $7, 915.64
To learn more on Compound interest click:
brainly.com/question/29335425
#SPJ2
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
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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
Sara bought a dress on sale for $33. She saved 40%. What was the original cost? $
Answer:
$55
Step-by-step explanation:
Step 1
Subtracted the discounted price by 100 to find the percentages original price giving you *60%*
Step 2
Multiply the price payed(final price which is $33) by 100 giving you *3300*
Step 3
Go back to step 1 and divide your answer in step 2(3300) by the percentage in step 1(60%) (3300/0.60=55)