Finance A bicycle shop hires road bikes for £25 per day and tandems for £40 per day. One day a family pays £155.
a Which type of bicycles did they hire?
b How many people are in the family?

Answers

Answer 1

Answer:

3 road bikes and 2 tandems

7 people

Step-by-step explanation:

25b + 40t = 155

b=3   and t = 2

Check

25*3  + 40*2 = 155

75+80 = 155

Assuming 1 person per road bike and 2 people per tandem

3*1 + 2*2 = 3+4 = 7


Related Questions

WILL GIVE BRAINLISEST!
The polygons are similar. Find the missing side length. Note, the shapes are not oriented the same way.

Answers

If polygons are similar ratio if sides will be same

[tex]\\ \sf\longmapsto \frac{x}{50} = \frac{48}{40} \\ \\ \sf\longmapsto 40x = 48 \times 50 \\ \\ \sf\longmapsto x = \frac{48 \times 50}{40} \\ \\ \sf\longmapsto x = \frac{2400}{40} \\ \\ \sf\longmapsto x = 60[/tex]

I NEED HELP, WHAT IS THE ANSWER !!!!!!!!!!

Answers

Step-by-step explanation:

Hey there!

From the given figure;

Measure of angle V + measure of angle W = measure of angle VUF {exterior angle is equal to the sum of opposite interior angles}

Therefore, angle VUF= 94°.

Hope it helps!

Answer:

<V + <W = < VUF

94 = < VUF

Step-by-step explanation:

The exterior angle is equal to the sum of the opposite interior angles

<V + <W = < VUF

71+ 23 = < VUF

94 = < VUF

Which of the following verifies that ST¯¯¯¯¯∥QR¯¯¯¯¯?

Answers

Answer:

Step-by-step explanation:

From the picture attached,

If ΔPRQ ~ ΔPTS,

By the property of similar triangles,

Corresponding sides of the similar triangles are proportional.

[tex]\frac{PR}{PT}= \frac{PQ}{PS}[/tex]

[tex]\frac{7.5+4.5}{4.5}= \frac{20}{7.5}[/tex]

[tex]\frac{12}{4.5}=\frac{20}{7.5}[/tex]

[tex]\frac{120}{45}= \frac{200}{75}[/tex]

[tex]\frac{8}{3}=\frac{8}{3}[/tex]

By the converse of similar triangles,

If two triangles ΔPRQ and ΔPTS are similar, sides ST and QR will be parallel.

25)
Jackson's current salary is $36,000 per year. Each year his salary is 1.04 times the previous yeal's salary. What
will his salary be in his 5th year?
OA) $42,214.92
OB) $42,114.91

Answers

Answer:

$43,799.50

Step-by-step explanation:

USing the formula:

A = P(1+r)ⁿ

n is the time = 5

1 + r = 1.04

P = 36,000

Substitute the values into the formula

A = 36000(1.04)⁵

A = 36,000(1.2166529024)

A = 43,799.50

Hence the value in the fifth year will e $43,799.50

If (3x+2) is a factor of 6x³+px²+x-2, Find the remaining factors of the polynomial p(x).

Answers

let:

3x+2=0

then solve it

then put the velue of x in p(x)

hello can someone please help me this question? I don't quite understand it​

Answers

Answer:

Equation: y=45x+1000

A. $45

B. 1,000

C. y=45x+1000-->Independent=1,000-->Dependent=45

D. y=45(20)+1,000=1,900

E. 30 weeks

Step-by-step explanation:

To solve step "E", you must set up an equation.

Specifically--> 45x+1,000=2350, then solve

45x=1350

x=30

what is the area of the triangle formed from (-2,2), (1,2) and (0,-6)

Answers

Answer:

I think it's 12

Step-by-step explanation:

Hope it helps!

Find the value of x that makes m||n
.
135°
m
(2x + 15)
n

Answers

Answer:

x = 60

Step-by-step explanation:

Since m is parallel to n, that means they are equal to each other.

In other words:

135 = 2x + 15

Solve for the variable:

120 = 2x

60 = x

Check your work:

135 = 2(60) + 15

135 = 120 + 15

135 = 135

Correct!

Answer:

x = 60

Step-by-step explanation:

For these two lines to be parallel, the angles m and n must be equal. Thus, 135 = 2x + 15.

Excellent. Let’s solve this equation. Subtract 15 from each side. 120 = 2x. Divide by 2, and we get 60 = x, so x = 60.

Hope this helps!

For the functions f(x) = 2x − 6 and g(x) = 5x + 1, which composition produces the greatest output?

Answers

Answer:

g(x) = 5x + 1

Step-by-step explanation:

Given data

We have the following expressions to work with

f(x) = 2x − 6 and

g(x) = 5x + 1

say the value of x = 3

let us put x into the two expressions above and compare the output

f(x) = 2*3 − 6= 6-6= 0

g(x) = 5*3 + 1= 15+1= 16

Hence the second function has the greatest output

Find the lettered angles in each of the following.
( where a point o is given , it is the centre of the circle) .​

Answers

Answer:

q = 80 degrees

r = 70 degrees

s = 10 degrees

t = 70 degrees

u = 40 degrees

v = 60 degrees

Step-by-step explanation:

starting with the fact that all angles in any triangle always sum up to 180 degrees :

q = 180 - 60 - 40 = 80 degrees

r = 180 - (60+10) - 40 = 180 - 70 - 40 = 70 degrees

the triangle 40-60-q and v-u-blank are similar triangles. your can say the smaller triangle is just a projection of the large triangle through the focal point at angle q.

that means the angles must be equal.

v = 60 degrees

u = 40 degrees

similar for 10-r-blank and t-s-blank.

s = 10 degrees

t = 70 degrees

u=60°

v=40°

q=80°

r=70°

s=70°

t=10°

Answer:

Solution given:

t=10°[inscribed angle on a same chord or arc is equal]

V=40°[inscribed angle on a same chord or arc is equal]

u=60°[inscribed angle on a same chord or arc is equal]

AGAIN;

40+60+10+r=180°[sum of interior angle of triangle]

r+110°=180°

r=180°-110°

r=70°

again

r=s=70°[inscribed angle on a same chord or arc is equal]

again

q=r+10°[exterior angle is equal to the sum of two opposite interior angle]

q=70+10=80°

Please I need help with this its being timed!!

Answers

Answer:

The first one

Step-by-step explanation:

Help please someonee !!!
A bank pays interest of 9% on money in deposit accounts. Mrs. Wells puts $2000 in the bank. Calculate how much she has after:
a). 1year
b). 3 years
c). 5 years

Answers

Answer:

first year

$2180

Step-by-step explanation:

9% of $2000 =$180

$2000+$180

Step-by-step explanation:

1year $2180. so the ans is send me I'd and password of zoom Answer of ur Question bro

rfan exited his apartment building and walked 20 blocks west. He then walked an additional 5 blocks west. What must he do to return to his apartment building?

Answers

Answer: If he walked 20 blocks west straight from his exited appartment, then added an additional 5 blocks to the west, he would have walked a total of 25 blocks and to return to his appartment must walk 25 blocks straight back from where he cam from to return back to his appartment.

Step-by-step explanation:

help me plz i will give you brainlist plzzzzz i beg you​

Answers

Answer:

Solution given:

[tex]\bold{4*3^{x+1}-9^{x}=27}[/tex]

let 3^xbe a

4*a*3-a²=27

a²-12a+27=0

a²-9a-3a+27=0

a(a-9)-3(a-9)=0

(a-9)(a-3)=0

either

a=9

3^x=3²

:.x=2

or

a=3

3^x=3^1

x=1

x=2,1

Find the general term of the ap whose 7th term is -1 and 16th term is 17? (pls Hurry up I will mark you Brainliest and don't reply in a silly way or I'll report you) ​

Answers

Answer:

The answer is -13.

Step-by-step explanation:

The formula of the nth term of an AP(arthimetic progression) is a+(n-1)d.

So the 7th term will be a+6d= -1  ---(1)

The 16th term will a+15d=17  ---(2)

Subtract (2) and (1)

a+15d-(a+6d)=17-(-1)

=a+15d-a-6d=17+1

9d=18

d=18/9

d=2.

Substitute d in eq (1)

a+6(2)= -1

a+12=-1

a= -1-12= -13

Thus the general term of the ap is -13

question on the image​

Answers

Answer:

15

Step-by-step explanation:

Answer:

Step-by-step explanation:

For question a: odd + even will always equal odd. so we can use 15 + 40.

For question b: 15 itself is a multiple of b.

For question c: 15 is a factor of 60. There are other answers in there.

For question d: 4^3 = 64, so 64 is one of them.

WHERE ARE THE EXPERTS AND ACE!!!!!!! I NEED HELP PLS SHARE YO SMARTNESS!!!!! WILL GIVE BRAINLIEST AND RATE AND VOTE!!!

Answers

Answer:

Q3. Last option Q4. 3rd option

Step-by-step explanation:

s^2 = 9.8^2+5.1^2-2(9.8)(5.1)cos39

s^2=44.366489...

s=6.7

Students taking an online english test are randomly assigned 3 questions out of a set of 9 different questions. How many different sets of questions (i.e. tests) are possible for the students?

Answers

Answer:

2 sets I think

Step-by-step explanation:

what are the answer choices

g(x) = 6(x-1) find the inverse function

Answers

Answer:

let g(x)=y

y=6(x-1)

interchange the values of x and y

x=6(y-1)

Make y the subject

x=6y-6

x+6=6y

(x+6)/6=y

this is a geometry question, i need something quickly :)

Answers

Answer:

hope it helps mark me brainlieast!

Step-by-step explanation:

For triangle ABC with sides  a,b,c  labeled in the usual way,

c2=a2+b2−2abcosC  

We can easily solve for angle  C .

2abcosC=a2+b2−c2  

cosC=a2+b2−c22ab  

C=arccosa2+b2−c22ab  

That’s the formula for getting the angle of a triangle from its sides.

The Law of Cosines has no exceptions and ambiguities, unlike many other trig formulas. Each possible value for a cosine maps uniquely to a triangle angle, and vice versa, a true bijection between cosines and triangle angles. Increasing cosines corresponds to smaller angles.

−1≤cosC≤1  

0∘≤C≤180∘  

We needed to include the degenerate triangle angles,  0∘  and  180∘,  among the triangle angles to capture the full range of the cosine. Degenerate triangles aren’t triangles, but they do correspond to a valid configuration of three points, namely three collinear points.

The Law of Cosines, together with  sin2θ+cos2θ=1 , is all we need to derive most of trigonometry.  C=90∘  gives the Pythagorean Theorem;  C=0  and  C=180∘  give the foundational but often unnamed Segment Addition Theorem, and the Law of Sines is in there as well, which I’ll leave for you to find, just a few steps from  cosC=  … above. (Hint: the Law of Cosines applies to all three angles in a triangle.)

The Triangle Angle Sum Theorem,  A+B+C=180∘ , is a bit hard to tease out. Substituting the Law of Sines into the Law of Cosines we get the very cool

2sinAsinBcosC=sin2A+sin2B−sin2C  

Showing that’s the same as  A+B+C=180∘  is a challenge I’ll leave for you.

In Rational Trigonometry instead of angle we use spreads, squared sines, and the squared form of the formula we just found is the Triple Spread Formula,

4sin2Asin2B(1−sin2C)=(sin2A+sin2B−sin2C)2  

true precisely when  ±A±B±C=180∘k , integer  k,  for some  k  and combination of signs.

This is written in RT in an inverted notation, for triangle  abc  with vertices little  a,b,c  which we conflate with spreads  a,b,c,  

(a+b−c)2=4ab(1−c)  

Very tidy. It’s an often challenging third degree equation to find the spreads corresponding to angles that add to  180∘  or zero, but it’s a whole lot cleaner than the trip through the transcendental tunnel and back, which almost inevitably forces approximation.

Match the expression to its value.​

Answers

Answer:

1       a

2      b

3      c

4      d

Step-by-step explanation:

1b

2d

3c

4a

Answer:

10(4) > 10,000

10-(4) > 0.0001

10(4)/10(2) > 0.000001

10-(4) * 10(2) > 1/10(4) 0.01

Step-by-step explanation:

Given the algebraic representation of a linear transformation (x,y) (3x-4, 1/5y-2),what trasformations are occuring

Answers

Answer:

We can define the algebraic transformations used here as:

Horizontal translation.

For a general point (x, y), a horizontal translation of N units is written as:

(x + N, y)

if N < 0, the translation is to the left

if N > 0, the translation is to the right.

Vertical translation:

For a general point (x, y), a vertical translation of N units is written as:

(x , y + N)

If N < 0, the translation is downwards

if N > 0, the translation is upwards.

Vertical dilation:

For a point (x, y), a vertical dilation of scale factor k is given by:

(y, k*y)

Horizontal dilation:

A dilation of scale factor k is written as:

(x/k, y)

Here we go from:

(x, y) to (3x - 4, (1/5)*y - 2)

So we have:

An horizontal dilation of scale factor 1/3 followed of a horizontal translation of 4 units.

And a vertical dilation of scale factor (1/5) followed by a translation downwards of 2 units.

State if the triangles are similar. If so, how do you know they are similar and complete the similarity statement.
ΔTUV
~ ____

Answers

Answer:

YES by SAS

triangle TUV is similar to triangle TLM

Step-by-step explanation:

The ratios of the sides

24/6 = 4

36/9 = 4

so the sides are similar

We know angle UTV = angle LTM because they are vertical angles

we have side included angle side

The triangles are similar by SAS  ( side angle side)

triangle TUV is similar to triangle TLM

please tell me I don't know plz please plz please ​

Answers

Step-by-step explanation:

a. 78 b.128 c. 165 d. 156 e. 180 f.208

Find the length of the line segment whose endpoints are (- 5, 6) and (6, 6).

Answers

Answer:

11

Step-by-step explanation:

√(x2 - x1)² + (y2 - y1)²

√[6 - (-5)]² + (6 - 6)²

√(11)² + (0)²

√121

= 11

Ugh I’m kinda stuck someone can help me ?

Answers

Answer:

To graph this line, move one of the points to positive three on the horizontal (side to side) line and negative six on the vertical (up and down) line. To get a slope of negative 1/2 you move down one point and right two points, and you continue until you reach the edge of the graph. Then you do the opposite on the way up (up one and left two).

Hope this helps!

Answer:  Plot the two points (3,-6) and (1, -5). Draw a straight line through those points.

See the graph below.

=============================================

Explanation:

Plot the point (3, -6)

The slope -1/2 means the rise is -1 and the run is 2

rise = -1run = 2

If we moved to the right, then we'd drop down 1 and move to the right 2. That would move us from (3,-6) to (5,-7)

We can go in reverse of this. So instead of "move down 1", we move up 1. We're going left instead of right.

-----------

So we start at (3,-6) and move up 1 and to the left 2 to arrive at (1,-5)

Two points on this line are (1, -5) and (3, -6)

Once we have two points, we have enough to graph the line.

See the graph below.

Angles of triangle are in the ratio of 23:5. What is the Size of the smallest angle?​

Answers

Answer:

ratio 2 : 3 : 5

size of smallest angle

[tex]180 \times \frac{2}{10} \\ = 36[/tex]

Answer:

The smallest angle of a triangle is 36°.

Step-by-step explanation:

Given, the ratio of angles of a triangle is 2 : 3 : 5

Let the angles of a triangle be ∠A, ∠B and ∠C.

∠A = 2x, ∠B = 3x, ∠C = 5x

∠A+∠B + ∠C= 180°

[sum of all the angles of a triangle is 180°]

2x + 3x + 5x = 180°

10x = 180°

x=180°/10 =18°

∠A=2x=2 x 18° = 36°

∠B = 3x = 3 x 18° = 54°

∠C = 5x = 5 x 18° = 90°

Hence, the smallest angle of a triangle is 36°.

HOPE IT HELPS!!!

Help me plss I’m lost ☺️❤️

Answers

Answer:

there is only one way to to roll a 3

1/36 = .044 = 4.4%

Step-by-step explanation:

4.4?
I hope that works if not sorry.

Solve for x.
x – 42 = 98 – 9x
X = [?]

Answers

Answer:

x = 14

Step-by-step explanation:

x - 42 = 98 - 9x

+42      +42

x = 140 - 9x

+9x       +9x

10x = 140

/10     /10

x = 14

X=14 because if you solve it you get x=14 trust me on it

if 2[tex]\frac{1}{3}[/tex] : 4 [tex]\frac{1}{3}[/tex] , then 7 : ___


A: 12 B: 13 C: 8[tex]\frac{2}{3}[/tex] D: 6[tex]\frac{1}{3}[/tex]


temsuyanger, I don't want your BS answer

Answers

[tex] \\ \tt \longmapsto 2 \frac{1}{3} \div 4\frac{1}{3} = \frac{7}{x} \\ \\ \tt \longmapsto \frac{7}{3} \div \frac{13}{3} = \frac{7}{x} \\ \\ \tt \longmapsto \frac{7}{3} \times \frac{3}{13} = \frac{7}{x} \\ \\ \tt \longmapsto \frac{7}{13} = \frac{7}{x} \\ \\ \tt \longmapsto 7x = 7 \times 13 \\ \\ \tt \longmapsto 7x = 91 \\ \\ \tt \longmapsto x = \frac{91}{7} \\ \\ \tt \longmapsto x = 13[/tex]

Answer:

[tex]x = 13[/tex]

Step-by-step explanation:

[tex] \frac{2 \frac{1}{3} }{4 \frac{1}{3} } = \frac{7}{x} \\ \frac{7}{3} \div \frac{13}{3} = \frac{7}{x} \\ \frac{7}{ 3} \times \frac{3}{13} = \frac{7}{x} \\ \frac{7}{13} = \frac{7}{x} \\ 7x = 13 \times 7 \\ x = \frac{13 \times 7}{7} \\ x = 13[/tex]

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