In a drill, Mark gives Fred a 45 meter head start. After t seconds, Fred is a distance 5t +45 from the starting line andMark is a distance of 6t from the starting line. How far ahead of Mark is Fred after t seconds?

Answer:

m ∠Y = 39°

Step-by-step explanation:

The sum of all angles in a triangle is 180°, so you just have to add m∠Z and m∠X, which will be 113 + 28 = 141. 180 - 141 = 39°

Answer:

if the shape is a triangle, just find the 3rd number and they should all add to 180 degrees.

Answer:

5 1/2 is the answer, hope this helps

Answer:

-50 m

Step-by-step explanation:

its negative elevation because he is going down

Answer:

1/8 cup left

Step-by-step explanation:

Starts with 7/8

Uses 1/2 which equals 4/8

Then uses another 1/4 which equals 2/8

4/8+2/8 is 6/8 so he uses 6/8 of olive oil

He has 7/8 and uses 6/8 so 7/8-6/8 quals 1/8

Answer:

you would need 18 quarts of sparkling water to mix with 9 quarts of grape juice

Step-by-step explanation:

1 1/2 is double of 3/4 so you just need to double 9 quarts of grape juice

Answer:

18 quarts of sparkling water

Step-by-step explanation:

9÷0.75=12 to figure how many times the recipe is multiplied.

12x1.5=18 to figure out how much sparkling water

3/4 = 0.75

1 1/2 = 1.5

Hi there!

Fractions can be equivalent to a lot other fractions...

Explanation:

43/12x2 would be 86/24 so that would be equivalent.

Let do another one..

43/12 when doing this, you can decide to divide or not but this is in the simplest form already so we can just multiply 43 and 12 with anything we want so let do... 5.

So 43 multiply by 5 would be..215 and 12x5 would be 60. So another equivalent fractions that’s the same as 43/12 or we can say 86/24 is 215/60.

I also added how I got the equivalent fractions just in case you don’t understand still...

Answer:

2nd

Step-by-step explanation:

Answer:

the orange one

Step-by-step explanation:

3x^2+x-2

3x^2 cant be broken down more because its a prime number. the only thing that can change is the x^2. the main difference between the blue and orange one is that the blue one has the second sign incorrect.

Answer:

Step-by-step explanation:

The numbers are either side from 1/10

To the left:

To the right:

Answer:

2/1 I think but i don't know

Answer: Smaller number = 6

Larger number = 20

Step-by-step explanation:

Let the smaller number be x.

Let the larger number be y.

Three times a larger number is 30 more than 5 times a smaller number. This will be:

3 × y = (5 × x) + 30

3y = 5x + 30 ...... i

The sum of the larger number and 5 times the smaller number is 50. This will be:

y + 5x = 50 ...... ii

From equation ii

y + 5x = 50.

y = 50 - 5x ...... iii

Put the value of y = 50 - 5x into equation i

3y = 5x + 30

3(50 - 5x) = 5x + 30

150 - 15x = 5x + 30

150 - 30 = 5x + 15x

120 = 20x

x = 120/20

x = 6

The smaller number is 6

Note that y + 5x = 50

y + 5(6) = 50

y + 30 = 50

y = 50 - 30

y = 20

The bigger number is 20

Answer:

The correct explanation is option B;

B. ∠L ≅ ∠L  By Reflexive Prop. ≅.

Since [tex]\overline {OP}[/tex] ║ [tex]\overline {MN}[/tex], ∠LOP ≅ ∠LMN by the Corr. ∠s Post. Therefore, ΔLOP ~ ΔLMN by AA ~. OP = 2 and MN = 6

Step-by-step explanation:

The given parameters are;

[tex]\overline {LP}[/tex] = 5

[tex]\overline {NP}[/tex] = 10

[tex]\overline {LN}[/tex] = [tex]\overline {LP}[/tex] + [tex]\overline {NP}[/tex] = 15

[tex]\overline {OP}[/tex] = x - 3

[tex]\overline {MN}[/tex] = x + 1

A two column proof is presented as follows;

Statement    [tex]{}[/tex]      Reason

∠L ≅ ∠L     [tex]{}[/tex]        By Reflexive property of congruency

[tex]\overline {OP}[/tex] ║ [tex]\overline {MN}[/tex]     [tex]{}[/tex]     Given

∠LOP ≅ ∠LMN [tex]{}[/tex]  By the Corresponding angles Postulate

Therefore

ΔLOP ~ ΔLMN [tex]{}[/tex]  By AA similarity Postulate

Where we have that ΔLOP and ΔLMN, we get;

[tex]\overline {OP}[/tex]/[tex]\overline {MN}[/tex]  = [tex]\overline {LP}[/tex]/[tex]\overline {LN}[/tex] = 5/15 = 1/3

∴ (x - 3)/(x + 1) = 1/3

3·(x - 3) = 1·(x + 1)

3·x - 9 = x + 1

3·x - x = 1 + 9 = 10

2·x = 10

x = 10/2 = 5

x = 5

[tex]\overline {OP}[/tex] = (x - 3) = 5 - 3 = 2

[tex]\overline {OP}[/tex] = 2

[tex]\overline {MN}[/tex] = x + 1 = 5 + 1 = 6

[tex]\overline {MN}[/tex] =  6

Therefore, the correct option is ∠L ≅ ∠L  By Reflexive Prop. ≅.

Since [tex]\overline {OP}[/tex] ║ [tex]\overline {MN}[/tex], ∠LOP ≅ ∠LMN by the Corr. ∠s Post. Therefore, ΔLOP ~ ΔLMN by AA ~. OP = 2 and MN = 6.

Answer:

$5.60

Step-by-step explanation:

20 ÷ $50 = .4

Each wing is $0.40,

.4 × 14 = $5.60

good luck & i hope this helps :)

Answer: angle DBE & angle ABD and angle EBF & angle FBC

Step-by-step explanation:

complimentary angles add up to 90 degrees, so just find the pairs of angles that add up to 90 degrees.

Answer:

39 miles

Step-by-step explanation:

We know that a cyclist travelled at an average rate of 13 miles per hour for 3 hours and are asked to how far she travelled in miles.

To solve, we need to take into mind that for three hours, the cyclist drove 13 miles per hour.

Meaning that for every hour, 13 miles were driven.

Therefore we need to multiply 13 by 3 to get our answer :

13 miles * 3hrs

39 miles

Answer:

hello :) the answer is 30 m/s

Answer:

30m/s

Step-by-step explanation:

Convert km to m:

108 —> 108000

Convert hr to s

1 —> 3600

Now put them back into their place in the fraction: 108000/3600

Simply the fraction: 30m/s

Step-by-step explanation:

Volume is calculated by finding out the product of length, width and height so

the correct option is B.

B. The volume is the product of the area of the base, 3x(3x + 4) and the height, 3x - 1.

Hope it will help :)

Answer:

£72

Step-by-step explanation:

100% - 40 = 60%

60/100 = 0.6

0.6 * £120 = £72

40/100 = 0.4

0.4 *  £120 = £48

To check:

£72 + £48 =   £120

Hope that helps!

Answer:

30/52

Step-by-step explanation:

Answer:

150 = 0.50y + 1.00x

Step-by-step explanation:

Answer:

I think of scoring 6 goal

Answer:

approximately 12

Step-by-step explanation:

17 divided by 6 is 2.83333333 (it keeps going) 2.833333 rounded to the nearest whole number is 3 so if rodrigo scores approx 3 goals a game for 4 games it would be 12

Answer:

Well if you deposit something you won't have it so negative. If you earn something then it is positive. So it is negative

Step-by-step explanation:

:)

Answer:

I think the answer would be the very first one.

they all need to have '' ( ) '' in them.

if a number is outside of that, it needs to at least have a letter beside the number

here's an example

Factored form:

2x(x + y)

not factored:

2(x - y)

but for the first one, it's correct from the rest of them.

Answer:

3079.5 cm^3

Step-by-step explanation:

We need to find the volume of the orange using the volume of a sphere formula V= 4/3 (π)(r^3). So we plug in the numbers V= 4/3 (22/7) (7^3) and solve. Simple simply the exponent and multiply everything. V= 4/3 (22/7) (343)= 1437 cm^3. Then we take 3/7 from the volume to focus on the juice. 1437(3/7) = 615.9 cm^3. Then multiply by five to find the volume of juice from 5 oranges. 615.9(5)= 3079.5 cm^3

Answer:

you have 8.5 pounds of fish

Step-by-step explanation:

1/2 =0.5 and 0.5 ×16 =8

and thata will leave one half left which means you will have 8.5 pounds of fish the pizza one  i'm not too sure about you would have to tell how much sauce there is supposed to be per pizza then i would be able to answer.

Hope this helps

Answer:

25ax25b= 625

Answer:

Step-by-step explanation:vdcdcdcdcdc

[tex]{ \large{➢ \: \: \bf{x = - 8}}}[/tex]

[tex]{ \large{➢ \: \: \bf{ \dfrac{2y}{3} = 3 \times - 8 + 34}}}[/tex]

[tex]{ \large{➢ \: \: \bf{ \dfrac{2y}{3} = - 24 + 34}}}[/tex]

[tex]{ \large{ \bf{ ➢ \: \: \cancel{2}y = 3 \times { \cancel{(10)} {} \: \: ^{5} }}}}[/tex]

[tex]{ \large{ \therefore{ \bf{y = 15 \: \: Ans.}}}}[/tex]

Answer:

$6727.50

Step-by-step explanation:

35/1000*6500

= 35*6.5

=227.50

6500+217.50

6727.50