math problem- solve for q

Gio was able to save approximately $6 from the discount

Data;

This is the ratio of two values to another multiplied by 100.

To solve this, we have to calculate the discounted amount and subtract it from the original price to know how much he saved.

Let's find 31% of 18.99

[tex]\frac{31}{100}= \frac{x}{18.99} \\x=0.31*18.99\\x=5.889[/tex]

This shows that he got a discount of approximately $5.9.

Gio was able to save approximately $6

Learn more on percentage here;

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Answer:

$6

Step-by-step explanation:

Answer:

39

Step-by-step explanation:

Since we are multiply the shorter side by 6.5 (you can find this by dividing 26 over 4) We have to do the same for the longer side and by multiplying we get 39, which is the answer.

Answer:

4u+12

Step-by-step explanation:

2(2u+6)

4u+12

Answer:

4u + 12

Step-by-step explanation:

2(2u + 6)

=> 2(2u) + 2(6)

=> 4u + 12

Answer:

its A observational study

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\sqrt{x-3} +1=6\\\sqrt{x-3}+1-1=6-1\\\sqrt{x-3}=5\\(\sqrt{x-3})^2=5^2\\x-3=25\\x-3+3=25+3\\x=28\\[/tex]

We can conclude the correct answer is C.

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

Explanation:

a,b,c,d are consecutive whole numbers. This means one follows right after the other. Example: 5,6,7,8 or 50,51,52,53

In general we have:

The sequence a,b,c,d is the same as a,a+1,a+2,a+3

Add those expressions together and set the sum equal to 78. Then solve for 'a'.

a+b+c+d = 78

a+(a+1)+(a+2)+(a+3) = 78

4a+6 = 78

4a = 78-6

4a = 72

a = 72/4

a = 18

This leads to

The four consecutive whole numbers for a,b,c,d are 18,19,20,21 in that order.

As a check,

a+b+c+d = 18+19+20+21 = 78

which confirms our answer.

Answer:

dilation of 2 is may be the answer

Answer:

Statement                                                  Reason

1. RUTS is a rectangle                              1. Given

2. RU=ST; UT=RS                                    2. Definition of a rectangle

3. ∠STU and ∠SRU are right angles      3.

4.△URS≅△STU                                    4. SAS

5. ∠USR=∠SUT                                     5. CPCTE

Step-by-step explanation:

Sorry but dont know what should be in 3

The triangle △URS and triangle △STU are congruent by the side angle side property.

In geometry, two figures or objects are said to be congruent if their shapes and sizes match, or if one is the mirror image of the other. The meaning of congruency is that the two shapes are similar as well as equal in size.

Given that there are three triangles and these three triangles are connected to each other at the centre's A, B, and C.

Statement                                                  Reason

1. RUTS is a rectangle                              1. Given

2. RU=ST; UT=RS                                     2. Definition of a rectangle

3. ∠STU and ∠SRU are right angles       3.

4.△URS≅△STU                                       4. SAS

5. ∠USR=∠SUT                                        5. CPCTE

Therefore, the triangle △URS and triangle △STU are congruent by the side angle side property.

To know more about congruency follow

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#SPJ2

Answer:

0.00079

Step-by-step explanation:

Answer: a, b, d, are correct

................

Answer:

x=-8

Step-by-step explanation:

try using this app called cymath it helps with questions like this

Answer:

8

Step-by-step explanation:

Sum of length on bottom side: 3 + 1 = 4

Sum of lengths of top side: x

Larger length on bottom side: 3

Larger length on top side: 6

Since the two lines are cut by three parallel lines, the segment cut off are of proportional lengths.

4/x = 3/6

4/x = 1/2

x = 8

Answer:

Step-by-step explanation:

it is always greater than its opposite

Answer:

+6°C

-8°C

hope it helps you

Answer:

1. It drops 6 degrees between 4am and 8am. 2. It drops 8 degrees between 3pm and 7pm.

Step-by-step explanation:

1. Subtract 10 and 4 to get 6 and that's how much the temperature dropped.

2. Subtract 6 and -2 to get 8 and that's how much the temperature dropped.

Hope this helps.

Answer:

Association is when two or more individuals form partnerships for business purposes, to run a joint-stock company, business trust, or statutory trust. The group is when the organization of various companies in different industrial sectors has common ownership interests.

Step-by-step explanation:

Answer:

3.2 ft

Step-by-step explanation:

Answer:it is -39

Step-by-step explanation:

You multiply 4(3x-10) which equals 12x-40 and then you combine 12x w/ -12x so x=-39

[tex]\huge\text{Hey there!}[/tex]

[tex]\mathsf{\dfrac{3}{25}}\\\\\mathsf{= \dfrac{25\times0+ 3}{25}}\\\\\mathsf{= \dfrac{\bold{0+3}}{25}}\\\\\mathsf{= \dfrac{3}{25}}[/tex]

[tex]\textsf{We cannot convert }\mathsf{\dfrac{3}{25}}\textsf{ because \boxed{\mathsf 3} is \boxed{\boxed{\mathsf{\underline{\underline{\bf NOT}}}}} bigger than \boxed{\mathsf{25}}.}[/tex]

[tex]\huge\boxed{\text{Thus, your answer is: \boxed{\rm{\bold{\dfrac{3}{25}} = \dfrac{3}{25}}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer:

78.

Step-by-step explanation:

If your asking how much of a difference/ Subtract.

Answer:

rate * time = distance (R * T = D)

the hare runs at 8 meters a second.

the tortoise crawls at 5 meters a second.

for the hare, the formula becomes 8 * T = D.

for the tortoise, the formula becomes 5 * T = D.

answers to your questions below:

A) write an expression in terms of T that represents the hare's distance from the starting line (in meters).

for the hare, rate * time = distance becomes 8 * T = D.

flip sides to get D = 8 * T.

this equation already tells you the hare's distance from the starting line in terms of T.

the expression you are looking for is 8 * T.

B) write an expression in terms of t that represents the tortoises distance from the starting line (in meters).

for the tortoise, rate * time = distance becomes 5 * T = D.

flip sides to get D = 5 * T.

this equation already tells you the tortoise's distance form the starting line in terms of T.

the expression you are looking for is 5 * T.

C) write an expression in terms of t that represents the number of meters the tortoise is ahead of the hare.

the tortoise gets a 580 meter head start.

for the hare, the equation is still D = 8 * T.

for the tortoise, the equation becomes D = 5 * T + 580.

what does this mean?

when T = 0, the hare has run a total of 0 meters and the hare has run a total of 580 meters (his head start).

as time goes on, the hare will get closer and closer to the tortoise and will eventually overtake him because the hare is traveling at a faster rate than the tortoise.

to find how many seconds the hare takes to catch up to the tortoise, set the distance for each equal.

since D for the hare is 8 * T and D for the tortoise is 5 * T + 580, set 8 * T = 5 * T + 580 and solve for T.

solve as follows:

subtract 5T from both sides of this equation to get 3T = 580.

divide both sides of this equation by 3 to get T = 580 / 3 = 193.333 rounded to 3 decimal places.

the hare will catch up to the tortoise in 193.333 seconds.

this can be seen on the first graph.

to find out who wins the race algebraically, set D = 1600 and solve for T in both equations.

D = 8 * T becomes 1600 = 8 * T.

divide both sides of this equation by 8 to get T = 1600 / 8 = 200 seconds.

D = 5 * T + 580 becomes 1600 = 5 * T + 580

subtract 580 from both sides of the equation to get 1600 - 580 = 5 * T.

simplify to get 1020 = 5 * T

divide both sides of this equation by 5 and solve for T to get T = 1020 / 5 = 204 seconds.

this can be shown on the second graph.

the first graph shows that the hare catches up to the tortoise in 193.333 seconds.

the second graph shows that the hare completes the 1600 meter run in 200 seconds while the tortoise completes is in 204 seconds.

here's the graphs.



The height is the hypotenuse side of the right triangle formed by the

cardboard and the ropes to the top and bottom of the monument.

Correct response:

The possible diagram in the question as obtained from  a similar question posted online is attached.

From the diagram, we have;

The angle, θ₁ formed by the rope and the 7.2 ft. segment is given as follows;

Therefore;

The angle formed by the segment from the cardboard square to the top of the monument, θ₂, is given as follows;

Which gives;

θ₂ ≈ 90° - 37.376° = 52.624°

Therefore;

[tex]tan(\theta_2) = \mathbf{\dfrac{d}{7.2} }[/tex]

Which gives;

d = 7.2 × tan(θ₂)

Therefore;

d = 7.2 × tan(52.624°)

Using trigonometric ratios of tangents of angles that sum up to 90°, we have;

[tex]tan(52.624^{\circ}}) = \mathbf{ \dfrac{72}{55} }[/tex]

Which gives;

Height of the monument, h = d + 5.2

Therefore;

h ≈ 9.43 + 5.2 = 14.63

Learn more about the tangent of angles here;

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Hi there!

[tex]\sqrt{\frac{1-cosA}{1+cosA}} =[/tex]

We can begin by multiplying by its conjugate:

[tex]\sqrt{\frac{1-cosA}{1+cosA}} * \sqrt{\frac{1+cosA}{1+cosA}} = \\\\\sqrt{\frac{(1-cosA)(1 + cosA)}{(1+cosA)(1 + cosA)}} =[/tex]

Simplify using the identity:

[tex]1 - cos^2A = sin^2A[/tex]

[tex]\sqrt{\frac{(1-cos^2A)}{(1+cosA)^2}} =\\\\\sqrt{\frac{(sin^2A)}{(1+cosA)^2}} =[/tex]

Take the square root of the expression:

[tex]{\frac{sinA}{1+cosA} =[/tex]

Multiply again by the conjugate to get a SINGLE term in the denominator:

[tex]{\frac{sinA}{1+cosA} * {\frac{1-cosA}{1-cosA} =\\[/tex]

Simplify:

[tex]{\frac{sinA(1-cosA)}{1-cos^2A} =[/tex]

Use the above trig identity one more:

[tex]{\frac{sinA(1-cosA)}{sin^2A} =[/tex]

Cancel out sinA:

[tex]{\frac{(1-cosA)}{sinA} =[/tex]

Split the fraction into two:

[tex]{\frac{1}{sinA} - \frac{cosA}{sinA} =[/tex]

Recall:

[tex]1/sinA = cscA\\\\cosA/sinA = cotA[/tex]

Simplify:

[tex]\frac{1}{sinA} + \frac{cosA}{sinA} = \boxed{cscA - cotA}[/tex]

Answer:

1/36

Step-by-step explanation:

The dice color doesn't matter. All that matters is the number of times 6 is likely to come up. For every 6 sides of a dice, there is 1 side with "6" on it. This makes your probability of rolling a 6, 1:6 or 1/6. Since we are trying to find out how likely it is for you to roll 2 sixes in a row, multiply both of the probabilities. Since you are likely to roll one 6 every six rolls, multiply

1/6 x 1/6 to get 1/36:

[tex]\frac{1}{6} *\frac{1}{6} = \frac{1}{36}[/tex].

So for every 36 times you roll the dice, you can expect to roll 2 sixes.

Hope this helps!

Answer:

−40i^2+226i−220

Step-by-step explanation:

Rearrange:

(-5i+22)(8i-10)

Distribute:

-5i(8i-10)+22(8i-10)

Solve:

−40i^2+226i−220

Hope this helped in some way!

Step-by-step explanation:

1.x+9=27

x=27-9

x=18

check

18+9=27

2. -4x-6=30

-4x=30+6

-4x=36

-4x/-4=36/-4

x= -9

check

-4(-9)=36

3.10+x/2=1

x/2=12-10

x/2=2

x/2×2=2×2

x=4

check

10+4/2

10+2=12

hope it's helpful

Answer:

x +9= 27

x=27-9

x=18

2. -4x-6=30

-4x=30+6

-4x=36

x=36+4

x=40

I hope l will help you....

Thank you......

Answer:

9π miles²

Step-by-step explanation:

The area of a circle is πr²

Now we plug in 3 miles for the radius

A=πr²

A=π3²

A=9π miles²

Answer:

Step-by-step explanation:

Let rose bush = x, shrub = y

Equations:

Solve the system by elimination, multiply the second equation by 2 and subtract the first equation:

Find the value of y:

Answer:

A. Jimmy started with more money in their savings account.

B. Daniel is saving at a faster rate by 10 more dollars.

C. Daniel.

Step-by-step explanation: