What was your speed if you drove 325 miles in 5 1/4 hours?

boyakko [2]

Answer:

it is 3 because the 3 is in circle

5 0

3 years ago

For a recent job, a plumber earned $28/hr, and the plumber’s apprentice earned $15/hr. The plumber worked 3 hours more than the

Oxana [17]

Answer: (with explanation) (ANSWER AT THE BOTTOM)

et P = number of hours that the plumber worked.

let H = number of hours that the helper worked.

since the plumber worked 3 more hours than the helper, the equation for hours worked is

P = H + 3

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since the plumber earned 28 dollars per hour and the helper earned 15 dollars per hour, the equation for amount of money each made is the number of hours each worked times the dollars per hour each earned.

this equation is

(28*P) + (15*H) = 213 dollars

-----

both get the same answer.

-----

substitute for P in the money equation since P is the same as H + 3.

equation becomes

(28*(H+3)) + (15*H) = 213

solve for H.

28*H + 28*3 + 15*H = 213

43*H + 84 = 213

43*H = 129

H = 3

-----

if H = 3, then P = 6 because P = H + 3.

-----

6*28 + 3*15 = 213 so your answer is

<h2>Plumber works 6 hours</h2><h2>Helper works 3 hours.</h2>

now to find the amount each earn by themselves, we just have to multiply by 6 or 3 by their hourly earning.

let's do the Plumber first

28x6=168

now the helper

15x3=45

---------

now to check if that was the right answer, let's add them up...

168+45=213

so, our answer is right.

-----------------

<h2>The plumber worked for 6 hours and earned $168 and the helper worked for 3 hours and earned $45 dollars. In total, they earned $213.</h2>

3 0

2 years ago

Read 2 more answers

Find the total surface area of this cuboid.

AnnyKZ [126]

Answer:

use the formula

Step-by-step explanation:

its 2lw+2lh+2hw

h=5

w=4

l=6

4 0

3 years ago

Read 2 more answers

!!!!!PLEASE HELP!!!!!<br> *30 POINTS PLEASE*

Lelechka [254]

Answer:

Part 1)

Part a) Yes, triangle ABC is congruent with triangle DEC by SAS

Part b) No, triangle ABC is not congruent with triangle DCE

Part 2) No, is not enough information

Part 3) Yes, triangle RST is congruent with triangle VUT by ASA

Part 4) Yes, triangle DEF is congruent with triangle DHG by SAS

Step-by-step explanation:

Part 1) we have two cases

Part a) Is triangle ABC and DEC congruent?

Yes, triangle ABC is congruent with triangle DEC by SAS

we know that

The <u><em>Side Angle Side postulate</em></u> ( SAS) states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent

In this problem

AC≅DE

BC≅EC

and

∠ACB≅∠DCE ---> by vertical angles

Part b) Is triangle ABC and DCE congruent?

we know that

If two triangles are congruent, then its corresponding sides and its corresponding angles are congruent

In this problem

the corresponding sides are not congruent

because

AB is not congruent with DC

Part 2) we have that

No, is not enough information

If AC≅XZ then the triangles ABC and XYZ will be congruent by SSS

or

If ∠ABC≅∠XYZ then the triangles ABC and XYZ will be congruent by SAS

Part 3) we have that

Yes, triangle RST is congruent with triangle VUT by ASA

we know that

If any two angles and the included side are the same in both triangles, then the triangles are congruent by Angle -Side-Angle (ASA) postulate

In this problem

ST≅UT

∠RST≅∠VUT ----> is a right angle

∠RTS≅∠VTU ---->by vertical angles

so

Two angles and the included side are the same in both triangles

therefore

triangles RST and VUT are congruent by ASA

Part 4) we have that

Yes, triangle DEF is congruent with triangle DHG by SAS

we know that

The <u><em>Side Angle Side postulate</em></u> ( SAS) states that if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle, then these two triangles are congruent

In this problem

DE≅DH

DF≅DG

and

∠EDF≅∠HDG ---> by vertical angles

7 0

3 years ago

ABCD is a square. <br><br><br><br>What is the measure of angle BAC?

matrenka [14]

Answer:

30 degrees

Step-by-step explanation:

I think that every corner is a 90 degree angle so 90/2 is 30

8 0

3 years ago

Read 2 more answers