Answer:
1/12 mile
Step-by-step explanation:
We can use a ratio to solve
7/12 miles x miles
---------------- = ---------------
7 minutes 1 minute
Using cross products
7 /12 * 1 = 7x
Divide each side by 7
7/12 * 1/7 = x
1/2 = x
[tex]\sf{\bold{\blue{\underline{\underline{Given}}}}}[/tex]
⠀Randy walks his dog each morning. he walks 7/12 of a mile in 7 minutes ⠀⠀⠀[tex]\sf{\bold{\red{\underline{\underline{To\:Find}}}}}[/tex]
⠀how many miles does he walks in 1 minutes⠀⠀⠀[tex]\sf{\bold{\purple{\underline{\underline{Solution}}}}}[/tex]
⠀
Randy walks 7/12 miles in 7 minutes
Sooo
He walks in one minutes is
7/12 miles in 7 minutes one minutes is [tex]\sf{\dfrac{\dfrac{7}{12}}{7} }[/tex] one minute =[tex]\sf{\dfrac{7}{12}×\dfrac{1}{7} }[/tex] one minute=[tex]\sf{\dfrac{1}{12} }[/tex][tex]\sf{\bold{\green{\underline{\underline{Answer}}}}}[/tex]
Hence,
he walks in 1 minutes is 1/12 miles.
Can someone help me understand what I'm supposed to look for in a simple way?
Answer:
I need help on this too!
There are many examples, you can write anyone:
Vertical angles
∠2 and ∠3
∠1 and ∠4
∠6 and ∠7
∠5 and ∠8
Linear pair
∠2 and ∠4
∠4 and ∠3
∠3 ans ∠1
∠1 and ∠2
∠6 and ∠8
∠8 and ∠7
∠7 and ∠5
∠5 and ∠6
Congruent angles
∠2 and ∠3
∠1 and ∠4
∠6 and ∠7
∠5 and ∠8
The center of the circle is at the point
, and its radius is
units. The equation of this circle in standard form is
.
Annie invests $400 in a bank that offers 5.5% simple annual interest after 6 years her investment will increase by blank dollars
Answer:
Her investment will increase by 551.54 dollars
Step-by-step explanation:
So we know that the exponential function formula is f(x)=a(1+r)^x
So knowing that we can input values
So now we have f(x)=400(1+0.055)^6
Since it is annual we will only have the interest yearly so that changes are equation to look like this f(x)=400(1+0.055/1)^6
So next we have to add 1 and 0.055 which is 1.055
So we input that into the equation so now we have f(x)=400(1.055/1)^6
Now we have to do (1.055/1) to the power of six, so we get 1.37884280676
Now we have to 1.37884280676 times 400, which would be 551.537122705.
Assuming they want to the nearest 100th it would be 551.54
So the answer is 551.54 dollars
Hopefully, that helped. If I made any mistake or I am incorrect feel free to correct me. :)
solve in attachment .
Answer:
2 ( Option A )
Step-by-step explanation:
The given integral to us is ,
[tex]\longrightarrow \displaystyle \int_0^1 5x \sqrt{x}\ dx [/tex]
Here 5 is a constant so it can come out . So that,
[tex]\longrightarrow \displaystyle I = 5 \int_0^1 x \sqrt{x}\ dx [/tex]
Now we can write √x as ,
[tex]\longrightarrow I = \displaystyle 5 \int_0^1 x . x^{\frac{1}{2}} \ dx [/tex]
Simplify ,
[tex]\longrightarrow I = 5 \displaystyle \int_0^1 x^{\frac{3}{2}}\ dx [/tex]
By Power rule , the integral of x^3/2 wrt x is , 2/5x^5/2 . Therefore ,
[tex]\longrightarrow I = 5 \bigg( \dfrac{2}{5} x^{\frac{5}{2}} \bigg] ^1_0 \bigg) [/tex]
On simplifying we will get ,
[tex]\longrightarrow \underline{\underline{ I = 2 }}[/tex]
Step-by-step explanation:
[tex]thank \: you[/tex]
A system of equations and its solution are given below.
System A
5x-y=-11
3x-2y=-8
solution: (-2,1)
To get system B below, the second equation in system A was replaced by the sum of that equation and the first equation in system A multiplied by -2.
System B
5x-y=-11
?
A.
The second equation in system B is -7x = 14. The solution to system B will not be the same as the solution to system A.
B.
The second equation in system B is -7x = 14. The solution to system B will be the same as the solution to system A.
C.
The second equation in system B is 7x = 30. The solution to system B will be the same as the solution to system A.
D.
The second equation in system B is 7x = 30. The solution to system B will not be the same as the solution to system A.
Find the area of the following
rhombus:
6 cm
10 cm
8 cm
A=121 cm2
Answer:
let
diagonal 1=6cm
diagonal 2=10cm
Area of rhombus=½*diagonal 1*diagonal 2=½*6*10
=30cm²
Answer:
Area of rhombus is 30cm².
Step-by-step explanation:
A rhombus having diagonals 6cm and 10cm . Find the area of rhombus.
Solution :-
Let us assume that
[tex]diagonal_1= 6cm[/tex][tex]diagonal_2 = 10cm[/tex]Finding the area of rhombus
Using Formula :-
Area of rhombus = ½ × [tex]diagonal_1[/tex]×[tex]diagonal_2[/tex]
Substitute the values of both diagonals.
Area of rhombus = ½ × 6cm × 10cm
Multiply the numbers
Area of rhombus = ½ × 60cm²
Divide we get ,
Area of rhombus = 30 cm
Which equation, when graphed, has x-intercepts at (2.0) and (4.0) and a y-intercept of (0.-16)?
f(x) = -(x-2)(x-4)
f(x) = -(x + 2)(x + 4)
O f(x) = -2(x-2)(x-4)
O f(x) = -2(x + 2)(x + 4)
Answer:
equation 3 for the x intercept ley Y =0 and for the Y intercept let X =O
Question 4 (5 points)
Determine the value of x.
4v2
8V2
4
8
Answer:
Step-by-step explanation:
Find the other endpoint of the line segment with the given endpoint and midpoint. Round to the
nearest tenth.
Endpoint (-5, 4) Midpoint (-10, 6)
wo runners are saving money to attend a marathon. The first runner has $112 in savings, received a $45 gift from a friend, and will save $25 each month. The second runner has $50 in savings and will save $60 each month.
Which equation can be used to find m, the number of months it will take for both accounts to have the same amount of money?
112 – 25m + 45 = 50 – 60m
112 + 25 + 45m = 50m + 60
112 + 25 – 45m = –50m + 60
112 + 25m + 45 = 50 + 60m
Answer:
I believe the last answer is correct
Step-by-step explanation:
Both runners are gaining money
Charlie dve 208 miles in 4 hours at a constant speed he continues at that speed give the equation that shows the relationship between driving hours
Answer:
52 miles per hour
Step-by-step explanation:
I think you're missing some info, so this is all I can help with right now
3,369,090 divided by 56
Answer:
60162.3214286
Step-by-step explanation:
that's just what my calculator said
Activity 5: COMPARE US! Write an inequality relating the given pair of angles or segment measures. Complete each statement by choosing <, =, or >.
Answer:
1. LM < PN
2. AD < DC
3. m<CAB < m<CBA
4. m<1 = m<2
Step-by-step explanation:
Recall: an angle measure is relative to the length of the opposite side. That is, the longer the side opposite to an angle, the larger the measure of that angle and vice versa.
1. LM is opposite to <LNM,
PN is opposite to <NLP
m<LNM is less than m<NLP, therefore,
LM < PN
2. AD is opposite to <ABD
DC is opposite to <DBC
m<ABD is less than m<DBC, therefore,
AD < DC
3. m<CAB is opposite to CB
m<CBA is opposite to CA
CB is less than CA, therefore,
m<CAB < m<CBA
4. The side opposite to <1 is congruent to the side opposite to <2.
Therefore,
m<1 = m<2
Find the measure of the angle indicated.
1
2
4
3
151°
6
8
7
The measure of angle 7 is
Answer:
7
Step-by-step explanation:
ABC ~ DEF
What is the value for x, the length of side BC?
Answer:
17.5
Step-by-step explanation:
as the triangles are similar, when oriented in the same direction they have the same angles, and the lengths of all sides of DEF are the lengths of the sides of ABC but multiplied by the same scaling factor f for all sides.
so, we see that
A ~ D
B ~ E
C ~ F
and therefore
AB ~ DE
BC ~ EF
CA ~ FD
that means
DE = AB × f
EF = BC × f
FD = CA × f
we know DE and AB.
so,
4 = 10 × f
f = 4/10 = 2/5
and now we know
EF = 7 = BC × f
BC = 7/f = (7/1) / (2/5) = (5×7)/(2×1) = 35/2 = 17.5
Answer:
17.5
Step-by-step explanation:
Suzi is 1.7 meters tall. At 2:00 pm, Suzi measures her shadow to be 0.3 meters long. At the same time, a nearby tree casts a shadow that is 2.4 meters long. How tall is the tree?
Answer:
13.6 meter
Step-by-step explanation:
Given that :
Suzi's height, p1 = 1.7 m
Suzi's shadow, p2 = 0.3 m
Tree shadow, t2 = 2.4 m
Tree height, t1 =?
Using the relation :
p1 / p2 = t1 / t2
1.7 / 0.3 = t1 / 2.4
Cross multiply :
1.7 * 2.4 = 0.3 * t1
4.08 = 0.3t1
t1 = 4.08 / 0.3
t1 = 13.6
Height of the tree is 13.6 m
What is the value of a?
A.50 B.90 C.27.5 D.45
Answer:
[tex]a = 45 \times 5 \\ a = 90 \degree[/tex]
Answer:
B. 90
Step-by-step explanation:
The 45° angle is an inscribed angle that subtends arc a.
An inscribed and measures half the measure of its subtended arc.
45° = (1/2) * a°
a = 2 * 45
a = 90
Which equation is represented by the table of values below
X Y
0 3
1 -1
2 -5
3 -9
4 -13
Answer:
Y= –4X+3
Step-by-step explanation:
Aight, check this out. the X and Ys are gonna form a linear equation.
Y=aX+b
3=a(0)+b===> b=3, so there you got for b
–1=a(1)+3===> a= –4
and the final touch
Y= –4X+3
If A =
[tex]if \: a \: = \binom{53}{24} \: and \: b = \binom{32}{10} then \: prove \: that |ab| = |a| . |b| [/tex]
and B = Prove that |AB| = |A| . |B|
please help me with my work
When you are multiplying by a fraction, you have to flip the sign around and the fraction around. Fiona thought she was dividing in half but in reality, she should be multiplying by 2. 1/2 flipped around is 2/1 which equals 2. And since you switch the division sign to a multiplication sign, the new equation will be 48x2. Which equals 96
Hope this helps and if it does, don't be afraid to give my answer a "Thanks" and maybe a Brainliest if it's correct?
How do I write
(28/4) - (x+7) in written form?
Answer: The quotient of 28 and 4 minus the sum of a number and 7
Step-by-step explanation:
The daily listening audience of an AM radio station is five times as large as that of its FM sister station. If 144,000 people listen to these two radio stations, how many listeners does the FM station have?
Answer:
The number of FM listereners are 24000.
Step-by-step explanation:
Let the listeners of FM are p and thus the istereners of AM are 5p.
According to the question,
p + 5 p = 144000
6 p = 144000
p = 24000
The number of FM listereners are 24000.
Help me to do this question plz plz plz
Answer:
area of parallelogram=base *height
Answer:
area =36cm²
Step-by-step explanation:
area of parallelogram= b×h
9×436cm²hope it helps stay safe healthy and happy..Select the expression that represents the following statement: add 24 to the quotient of 16 and 8.
Answer:
16/8 + 24
Step-by-step explanation:
If the quadratic formula is used to find the solution set of 3x + 4x-2 = 0, what are the solutions?
2. In AABC, m < B = 22°, m < C = 52° and a = 30. Find the length of b to the nearest tenth.
Answer:
232
Step-by-step explanation:
===========================================
Explanation:
I recommend drawing out the triangle. See below.
Notice how each lowercase letter is a side length, and the uppercase letters are angles. Also, each lowercase letter is opposite their corresponding uppercase counterpart.
side a is opposite angle Aside b is opposite angle Bside c is opposite angle CWe're given that angles B and C are 22 degrees and 52 degrees in that order. Let's use the fact that the three angles of any triangle must add to 180 to solve for angle A
A+B+C = 180
A+22+52 = 180
A+74 = 180
A = 180-74
A = 106
We do this so we can then apply the law of sines
sin(A)/a = sin(B)/b
sin(106)/30 = sin(22)/b
b*sin(106) = 30*sin(22) ....... cross multiplication
b = 30*sin(22)/sin(106)
b = 11.6910908340182 ....... which is approximate
b = 11.7
Make sure your calculator is in degree mode.
The length of a small rectangular room is "6 more than the width" and the
area of the room is 27 square units. Which of the following represents the
dimensions of the room?
O 3 and 6
O 6 and 9
6 and 6
3 and 9
help pls!!
2xy + 3xt - 7yt = 0
In the equation above, x and y are positive and
x< y. What is t in terms of x and y?
A) t= 1/2
B) t= 2xy / 3x - 7y
C) t= 2xy / 7y - 3x
D) t= xy / 2(y-x)
Answer:
B
Step-by-step explanation:
[tex]2xy + 3xt - 7yt = 0[/tex]
[tex]3xt - 7yt = - 2xy[/tex]
Factor out t
[tex]t(3x - 7y) = - 2xy[/tex]
Divide by 3x-7y
[tex]t = - \frac{2xy}{3x - 7y} [/tex]
But since x and y are positive, the answer is positive
[tex]t = \frac{2xy}{3x - 7y} [/tex]
Can you please help with this question. Please please
Answer:
Step-by-step explanation:
5.2*9= 46.8
Do you want to know how to find the answer? :/
Can someone help with this
Answer:
Step-by-step explanation:
[tex]Mean = \frac{Sum \ of \ all \ the \ data}{number \ of \ data}\\\\= \frac{3.8+5.1+4.1+3.8+3.3+3.6}{6}\\\\=\frac{23.7}{6}\\\\= 3.95[/tex]
Mean = 3.95
B) To find the median, arrange the data in ascending order
3.3 ; 3.6 , 3.8 ; 3.8 ; 4.1 ; 5.1
As number of data is even, median = Average of (n/2)th term and (n/2)th term +1
= Average of 3 and 4th term
[tex]= \frac{3.8+3.8}{2}\\\\= 3.8\\[/tex]
Median = 3.8
C) 3.8 occurs two times.
So, Mode = 3.8
d) 14.6 is above the mean. So, if we add a data above the mean, then the mean will increase
e) If April (3.8) is deleted from chart, Mean will increase. If we remove a data below the mean, then mean will increase
If April is deleted from chart, there will be no change in median.
Still median will be 3.8 only