Eva took a taxi from her house to the airport. The taxi company charged a pick-up fee of $4.10 plus $0.50 per mile. The total fare was $9.60, not including the tip. Write and solve an equation which can be used to determine mm, the number of miles in the taxi ride.
Here we must write and solve a linear equation to find the number of miles that Eva traveled in the taxi. We will find that Eva traveled 11 miles.
So we know that the taxi charges a fee of $4.10 and then a plus of $0.50 per mile.
So if you travel for m miles, the cost equation is:
C(m) = $4.10 + $0.50*m
Now, we know that for Eva the total fare (total cost) was $9.60, then we need to solve:
$9.60 = C(m) = $4.10 + $0.50*m
$9.60 = $4.10 + $0.50*m
$9.60 - $4.10 = $0.50*m
$5.50 = $0.50*m
$5.50/$0.50 = m = 11
This means that Eva traveled 11 miles in the taxi.
If you want to learn more about linear equations, you can read:
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Answer:
11
Step-by-step explanation:
Which postulate or theorem can be used to prove the triangles congruent?
a) ASA
b) SAS
c) AAS
d) SSS
e) cannot be proved congruent
Answer:
D) SSS
Step-by-step explanation:
They have 3 sides that are congruent to each other. We don't know anything about the angles.
Hello da 234234r32 ef3qew3e2wr3qefwasdwasd
2k+5=21 answer this problem plz
Answer:
k=8
Step-by-step explanation:
2k+5=21 (-5 on both sides to get rid of +5)
2k=16 (divide by 2 to get rid of that 2 in front of K)
k=8
HEYYYY I NEED HELPPPP AS SOON AS POSSIBLE
Geraldo and Raul are participating in a relay for charity. Geraldo rides his bike 12 miles per hour. Raul rides his bike 10 miles per hour. Together, they travel a total distance of 34 miles.
We know
[tex]\\ \sf\Rrightarrow Speed=Distance/Time[/tex]
[tex]\\ \sf\Rrightarrow Distance=Time\times {Speed}[/tex]
Let hours be x
[tex]\\ \sf\Rrightarrow 12x+10x=34[/tex]
[tex]\\ \sf\Rrightarrow 22x=34[/tex]
[tex]\\ \sf\Rrightarrow x=34/22[/tex]
[tex]\\ \sf\Rrightarrow x=17/11[/tex]
[tex]\\ \sf\Rrightarrow x=1.5h[/tex]
Lin is playing hand ball and wants the ball
to bounce off wall CB and land at D.
Where on the wall should she aim if she's
standing at point A?
Lin should aim the ball at 7.8 feet away from point B
From the question (see attachment), we have the following equivalent ratios:
[tex]AB : BE = DC :CE[/tex]
This is so because triangles ABE and DCE are similar triangles.
Such that:
[tex]BE + CE = 20[/tex]
[tex]AB = 16[/tex]
[tex]DC = 16 + 9 = 25[/tex]
So, we have:
[tex]AB : BE = DC :CE[/tex]
[tex]16 : BE = 25: CE[/tex]
Make CE the subject in [tex]BE + CE = 20[/tex]
[tex]CE=20 - BE[/tex]
Substitute 20 - BE for CE in [tex]16 : BE = 25: CE[/tex]
[tex]16 : BE = 25: 20 - BE[/tex]
Express as ratio
[tex]\frac{16 }{ BE} = \frac{25}{ 20 - BE}[/tex]
Cross multiply
[tex]16(20 - BE) = 25BE[/tex]
Open bracket
[tex]320 - 16BE = 25BE[/tex]
Collect like terms
[tex]25BE + 16BE = 320[/tex]
[tex]41BE = 320[/tex]
Divide both sides by 41
[tex]BE = 7.8[/tex]
Hence, she should aim at 7.8 feet away from point B
Read more about similar triangles at:
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Answer:You want to make a bank shot. Sketch the path of the cue ball so it will bounce off of the bottom side and knock the yellow stripe 9 ball into the top middle pocket.
Step-by-step explanation:
In ΔSTU, u = 280 inches, ∠T=63° and ∠U=29°. Find the length of t, to the nearest 10th of an inch.
Answer:
t = 514.6in.
Step-by-step explanation:
280/sin(29°) = t/sin(63°)
t = 280*sin(63°)/sin(29°)
t = 514.6 in. (to the nearest 10th of an inch)
for each fraction below find an equivalent fraction with a denominator 200.
fraction 14/25
Answer:
112/200
Step-by-step explanation:
To find an equivalent fraction with a new denominator you can simply multiply by 1. However, you must multiply by different forms of 1. Remember that any number divided by itself is equal to 1. Additionally, because of the identity property of multiplication, any number multiplied by 1 is still equivalent.
In this case, you should multiply by a fraction that will make 25=200. To get 200 from 25 you must multiply by 8. So, multiply the whole fraction by 8/8. This gives you (14/25)*(8/8)=112/200.
Eq 1 X+Y=16
Eq 2 6x+9y=120
Solve by substitution
Solve step by step
Answer:
X = 8, Y = 8
Step-by-step explanation:
Step 1) Solve for Y w/ bottom equation to yield - y = -2/3x + 40/3.
Step 2) substitute equation into x + y = 16 to get 1/3x + 40/3 = 16 multiply by 3 to clear the fractions and get x + 40 = 48 - subtract 40 by both sides to get x = 8.
Step 3) Plug x = 8 into the bottom equation to get 48 + 9y = 120, subtract 48 by both sides to get 9y = 72 and then divide by 9. The product is y = 8.
What part of 28 is 17?
17 is 60.7% percentage of the number 28.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
We have to find what is 17 in 28.
To find this we have to multiply x with 100 and divide it by hundred which is equal to seventeen
x/100×28=17
0.28x=17
Zero point two eight times of x equal to seventeen
Divide both sides by 0.28
x=17/0.28
We get sixty point seven one percentage
x=60.71%
Hence,17 is 60.7% percentage of the number 28.
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Multiplied by 3/4 and then divided by 3/5 is the same as dividing by what?
Please explain step by step
We have: x × [tex]\frac{3}{4}[/tex] ÷ [tex]\frac{3}{5}[/tex] = x × [tex]\frac{3}{4}[/tex] × [tex]\frac{5}{3}[/tex] = x × [tex]\frac{5}{4}[/tex] = x ÷ [tex]\frac{4}{5}[/tex]
ANSWER: E. 4/5
Ok done. Thank to me :>
given: 4x=12x+32 prove: =-4
Answer:
See explanation
Step-by-step explanation:
4x = 12x + 32
Subtract 12x from both sides
-8x = 32
Divide each side by -8.
x = -4
Answer:
True, see attached photo, if this helped you please give Brainliest
Step-by-step explanation:
Find the value of c that makes x^2+ 9x + c a perfect square trinomial. Write the expression as the square of a binomial. The expression is
Answer:
[tex]c=\frac{81}{4}[/tex]
I hope this is the right answer and I hope this helps
The value of the variable 'c' to convert the expression as the square of a binomial will be 81 / 4.
What is a perfect square trinomial?A perfect square trinomial formulation can be created by taking the binomial equation's squared. If and then only if a trinomial satisfying the criterion b² = 4ac has the form ax² + bx + c, it is indeed a perfect square.
The expression is given below.
⇒ x² + 9x + c
The value of the variable 'c' to convert the expression as the square of a binomial will be given as,
c = (9/2)²
c = 81 / 4
The value of the variable 'c' to convert the expression as the square of a binomial will be 81 / 4.
More about the perfect square trinomial link is given below.
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What is the difference between log(x/y) and log(x)/log(y)?
Determine whether it is possible to form a triangle
with side lengths 3, 6, and 10.
O yes
O no
Pls help it's due tonight!!!!!!!!!!
A new born baby dropped in weight from 4500 g to 3200g. What percentage loss is this.
Answer:
3200/4500=71.1%
so a 29.9% drop
Hope This Helps!!!
How i can answer this question?
Answer:
11n
Step-by-step explanation:
7+4 =11
so then 7n+4n=11n
State what information is required to know that the triangles are congruent.
-GEOMETRY
[tex]\huge \bf༆ Answer ༄[/tex]
The additional information needed to prove that the triangles are congruent is ~ A
[tex] \sf \angle M \cong \angle V \: \: or \: \: \angle N \cong\angle U[/tex]Answer: Choice A
Explanation:
The shorthand AAS stands for "angle angle side". The diagram shows we have a pair of congruent angles, which takes care of one "A" of "AAS". So we need info about another pair of angles to take care of that other "A".
One possible pair is angle M and angle V, or we could go for angle N and angle U. Whichever option you go for, the tickmarked sides are not between the angles mentioned. If the side was between the angles, then we'd have to use ASA which is slightly different from AAS. The order matters.
A solid object where the radius of bse is 7cm and height is 12cm
Answer:
A cylinder with a base radius of 7cm and a height of 12 cm.
Step-by-step explanation:
A solid object =7cm
height=12cm
Now,
we know that l = b×g
=12×7
= 84
If x=a sintheta and y=bcostheta, show that (b^2)(x^2)+(a^2)(y^2)=(a^2)(b^2)a
The scale model of a building is 8.5 inches tall. How tall is the actual building if the scale
used for the model is 1 inch = 150 feet?
Answer:
1,275
Step-by-step explanation:
Answer:
1275
Step-by-step explanation:
you do 8.5 multiplied by 150
Four interior angles of a pentagon measure 88°, 118°, 132°, and 100°. What is the measure of the fifth interior angle? 82° 92° 102° 112°.
The measure of the fifth interior angle is 102 degrees.
A polygon is an object with five sides. It is made up of five straight edges and 5 interior angles. The sum of interior angles is 540 degrees.
In order to determine the fifth interior angle, the sum of the four interior angles would be subtracted from sum of interior angles in a polygon.
Fifth interior angle = 540 - (88 + 132 + 100 + 118)
= 540 - 438
= 102 degrees
Please find attached an image of a pentagon. A similar question was answered here: https://brainly.com/question/2906515
Which congruence criteria is met in the following scenario?
SAS
SSS
AAS
HL
ASA
Which table matches the equation y= 8x + 20
Answer:
The first table
Step-by-step explanation:
x y
7 76
10 100
13 124
16 148
HOPE THIS HELPS :)
2 Divided by 1 / 5. Rlly need help on this
Answer:
The answer will be 10
Step-by-step explanation:
2/1/5=10
Which 2 expressions are equiavalent to -40/9
Answer:
360 is the answer
Step-by-step explanation:
hi
have a good day
hope it helps you
thank me later
carryonlearing
Answer:
Step-by-step explanation: 2\frac{u^2}{8}u^4=10\frac{u^3}{9}u
Pls help i give 5 stars and crown
Step-by-step explanation:
10 %, 7/10 and 0.2 are the three numbers that add up to 1
0.1 + 0.7 + 0.2 = 1
Answer:
1/4 = 0.25
0.5
10% = 0.1
7/10 = 0.7
15% = 0.15
0.2
10% + 7/10 +0.2 = 1
Mr. Johnson is purchasing chicken for a family
BBQ. He purchases 7.8 pounds of chicken that costs
$3.60 per pound. How much change should Mr.
Johnson receive if he gives the cashier a $50 bill?
A local flower shop advertises that 4 out of every 5 flower seeds will grow. If Janie plants 40 of these flower seeds in her garden, how many seeds can she expect to grow?