4. In one semester, Doug and Laura spent a combined 230 hours in the tutoring lab. If Doug
spent 10 hours less than twice the hours Laura did, how many hours did Doug spend in
the lab?

Answers

Answer 1

Answer:

80 hours

Step-by-step explanation:

let d represent doug, let l represent laura

first, set up a system of equations representing the problem:

since doug spent 10 less than twice the hours laura did, and we know that the total amount of hours they spent together is 230:

l=2d+10

d+l=230

then solve:

*first i rearranged the equations so i can solve this system of equations using elimination method*

l-2d=10

l+d=230

*subtract*

3d=240

d=80

so, doug spent 80 hours in the lab


Related Questions

Use the Associative Property of Addition to write an expression equivalent to (u + 2) + 8.
Which expression is equivalent to (u + 2) + 8 by the Associative Property of Addition?
OA. U + 2 + 8
OB. 8+ (u + 2)
OC. (u + 8) + 2
OD. u + (2+8)

Answers

Answer:

D

Step-by-step explanation:

First of, associative property of addition is rearranging the parenthesis and not moving the numbers

A is incorrect because you can not take out the parenthesis in the equation

B is inccorrect because they change the position of the number

C is incorrect because they change the position of number

D is correct. It only change the position of the parenthesis

which of the following is NOT a property of all parallelograms

(1) the diagonals are perpendicular
(2) the diagonals bisect each other
(3) opposite sides are congruent
(4) adjacent angles are supplementary​

Answers

2- the diagnosis bisect each other
2, the diagonals bisect each other :)

subtract 15/12and 5/6​

Answers

Answer:

5 / 12

Step-by-step explanation:

You must have common denominators in order to add or, in this case, subtract.

Answer:

[tex] \frac{15}{12} - \frac{5}{6} [/tex]

We have a simple formula that can be reduced We will put it into a combined form [tex]1 \times \frac{3}{12} - \frac{5}{6} [/tex]Find a common numerator [tex]1 \times \frac{3}{12} - \frac{10}{12} [/tex]So our answer is [tex] \frac{5}{12} [/tex]

HELP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

help din HDKE EJFNQKEHWHQODBEHQVEIFNFJRNSJEBSG

Step-by-step explanation:

di ko din alam e AHAHAHAHAHAHAHAHAHA NSKFBWJF S DJEBEJS

JSHEBEJS IF JENSKS.DJWKW

SBWUKWVEUEBJQBRJDNDJXBDJDBDKW

EBEJE KD DJWKQKQBWHS

10
Sara was thinking of a number. Sara adds 19 to it, then doubles it and gets an answer of 39.2. What was the original number?

Answers

Answer:

0.6

Step-by-step explanation:

2(x+19)=39.2

x+19=19.6

x=0.6

i will give you brainliest whoever answers correct first!!!

Answers

x=17 hope this helps

Which of the following is the product of (3x − 5) and (3x + 5)?

Answers

Answer:

[tex] {9x}^{2} - 30x + 25[/tex]

[tex]\huge\underline\bold\blue{ƛƝƧƜЄƦ}[/tex]

(3x + 5)(3x - 5)

By using identity

(a + b)(a - b) = a² - b²

3x² - 5²

9x² - 25

Can you name the theorem of the triangle?

A. AAS
B. SAS
C. ASA
D. SSS​

Answers

The answer is B. SAS

12 less than a number , x
A 12 - x
B x - 12

Answers

Let that particular no. be x

then,

ATQ,

x -12

the answer your looking for is a

Would this be correct ladies and gents

Answers

Answer:

You can use the useful mnemonic: SOH CAH TOA to determine what function to use. Since  we have information about the hypotenuse (H) and opposite (O), we should use sine (S) for "SOH".

So yes, sine would be correct.

Hope this helps!

The diameter of a circle is 18 cm. Find the circumference to the nearest tenth to the nearest tenth.

Answers

c=2πr. r=18/2=9

=2 ×22/7 ×9

=56.6 to the nearest tenth

Please help I’m on a test


“Given the triangle below, what is the longest side length?”

Answers

~11.31

Pythagorean Theorem because it is a right triangle.

write in set notation; The et of all real numbers greater than 8 but less than 65​

Answers

Answer:

{x I 8 < x < 65}

Step-by-step explanation:

{x I 8 < x < 65}

Pls help, thank you :)​

Answers

To find this, we must do the equation:
3,500,000 divided by 100

That equals
=35000

So (3)
Hope this helped ^^

Answer:

(3)

Step-by-step explanation:

A number is divided by 3 and decreased by 5 is 6. What is the number???

Answers

Answer:

Given : x/3-5=6

answer = 23

Step-by-step explanation:

x-5=6*3

x-5=18

x=18+5

x=23

Answer:

33

Step-by-step explanation:

let the number be n , then the number divided by 3 is [tex]\frac{n}{3}[/tex] and decreased by 5

[tex]\frac{n}{3}[/tex] - 5 = 6 ( add 5 to both sides )

[tex]\frac{n}{3}[/tex] = 11 ( multiply both sides by 3 )

n = 33

The number is 33

S=2(3.14)zx+4(3.14)z^2

Answers

Answer:

what do you want to solve for?

Step-by-step explanation:

Can someone tell me what x and y would be

Answers

Step-by-step explanation:

20°+120°+I°=180°

I=40°

using sine rule,

I/sin I=x/sinX

12/sin40=x/sin20

x=12sin20/sin40

x=6.4

using similarly and enlargement,

we have, cw/cp=y/120

8/12=y/120

y=80°

ILL GIVE U BRAINLIST!! PLEASE HELP :(

Answers

Answer:

5 faces, 8 edges, 5 vertices

HELP ME PLZ I NEED THE FORMULA AND AN EXPLANATION TO THE ANSWERRR

Answers

Answer:

[tex]r1 + r2 = r3[/tex]

Step-by-step explanation:

ℎ ℎ ℎ ℎ ℎ

Answer:

This is your answer ☺️. If I'm right so,

Please mark me as brainliest. thanks!!!

Which of the expressions below is true?
a. (3y)2 =3y2 b. 2ab5 = 2(ab)
5
c. (4b)3 = 64b3
d. 2(x)3 = 8x​

Answers

The he answer would be b...I think. Hope this helps!

please help i don't know this one

Answers

It’s the last circle

Answer:

Hey do you know the answer to the question you wrote a while ago?

Step-by-step explanation:

(02.05)

Two similar triangles are shown on the coordinate grid:

A coordinate plane is shown. Triangle XYZ has vertices X at negative 5 comma negative 1, Y at negative 6 comma negative 2, and Z at negative 3 comma negative 2. Triangle X double-prime Y double-prime Z double-prime has vertices X double-prime at 10 comma negative 2, Y double-prime at 12 comma negative 4, and Z double-prime at 6 comma negative 4.

Which set of transformations has been performed on triangle XYZ to form triangle X′′Y′′Z′′?  

Do you?? :(

(copy and paste for picture)

If x = 6 units, y = 3 units, and h = 5 units, find the area of the rhombus shown above using decomposition.

A. 45 square units

B. 15 square units

C. 11 square units

D. 30 square units

Answers

Answer:

B

Step-by-step explanation:

30

Step-by-step explanation:

did it

This is due in 10 minutes please help me

Answers

Given:

The rate of interest on three accounts are 7%, 8%, 9%.

She has twice as much money invested at 8% as she does in 7%.

She has three times as much at 9% as she has at 7%.

Total interest for the year is $150.

To find:

Amount invested on each rate.

Solution:

Suppose x be the amount invested at 7%. Then,

The amount invested at 8% = 2x

The amount invested at 9% = 3x

Total interest for the year is $150.

[tex]x\times \dfrac{7}{100}+2x\times \dfrac{8}{100}+3x\times \dfrac{9}{100}=150[/tex]

Multiplying both sides by 100, we get

[tex]7x+16x+27x=15000[/tex]

[tex]50x=15000[/tex]

Dividing both sides by 50, we get

[tex]x=\dfrac{15000}{50}[/tex]

[tex]x=300[/tex]

So, the amount invested at 7% is [tex]300[/tex].

The amount invested at 8% is

[tex]2(300)=600[/tex]

The amount invested at 9% is

[tex]3(300)=900[/tex]

Hence, the stockbroker invested $300 at 7%, $600 at 8%, and $900 at 9%.

find the greatest common divisor of the numbers 96 and 212

Answers

Answer:

The GCF of 96 and 212 is 4.

^ I agree with the person above me

Veronique's Unique Boutique reported the following information for 2021:
Net Cash Provided by Operating Activities
Net Increase in Cash
Net Income
Cash Sales
Capital Expenditures
Dividends Paid
$45,000
95,000
40,000
65,000
15,000
12,000
What is Veronique's free cash flow for 2021?
A
$13,000
B
$18,000
$68,000
$33,000

Answers

Answer:

5,0967,358

Step-by-step explanation:

I need help I can’t understand this

Answers

9514 1404 393

Answer:

  [tex]P_1=11.7\\P_2=15.21\\P_n=9\cdot1.3^n\\P_{10}\approx124.07[/tex]

Step-by-step explanation:

An exponential function can be written in the form ...

  y = a·b^x

where x is the independent variable, b is the common ratio, and 'a' is the initial value (when x=0). The "common ratio" is the ratio of each term to the one before. For example, b = P₁/P₀.

Here, you are told the initial value (P₀) is a=9, and the common ratio is b=1.3. The independent variable is given as n, so your population formula is ...

  P(n) = 9·1.3^n

__

You are asked for values when n = 1, 2, and 10. Since you know the common ratio, you can simply multiply P₀ by 1.3 to get P₁:

  P₁ = 1.3·P₀ = 1.3·9 = 11.7

Similarly, ...

  P₂ = 1.3·P₁ = 1.3·11.7 = 15.21

__

You could continue up to P₁₀, but it is easier to use a calculator to evaluate the exponential function.

  P(10) = 9·1.3¹⁰ ≈ 124.07

Find m∠ABC in the picture. (it's not solving for x.)

Answers

Answer:

20°

Step-by-step explanation:

180-140=40

1/2 of 40=20

You put $500 in a savings account. The account earns $20 simple interest in 6 months. What is the annual interest rate? Write your answer as a percent

Answers

Answer:

8%

Step-by-step explanation:

For simple interest, we use the equation I = PRT, where I is the interest earned, P is the principal/amount invested, R is the rate as a decimal, not percentage, and T is the time in years.

For this problem, we have to use 0.5 for T, because 6 months is 1/2 a year.

20 = (500)(r)(0.5)

20 = 250r

r = 0.08 = 8%

A farmer recently sold a large plot of land. The sale decreased his total acreage by 6%. Let v be the original acreage. Find two equivalent expressions that will give the new acreage. Use the expressions to describe two ways to find the new acreage. Name two expressions that would give the new acreage. (A)0.06v
(B)6v
(C)v-6v
(D)0.94v-0.06v
(E)v-0.06v
(F)0.94v

Answers

Answer:

[tex]v - 0.06v[/tex] and [tex]0.94v[/tex]

Step-by-step explanation:

Given

[tex]Acreage = v[/tex]

[tex]Decrement = 6\%[/tex]

Required

Determine the new acreage

Because a reduction occur, the new acreage can be calculated using:

[tex]New = Acreage - Decrement * Avreage[/tex]

[tex]New = v - 6\% * v[/tex]

[tex]New = v - 0.06 * v[/tex]

[tex]New = v - 0.06v[/tex] ------ (1)

Evaluate the expression

[tex]New = 0.94v[/tex] ---- (2)

The Washington Monument in Washington, D.C. is surrounded by a circle of 50 American flags that are each 100 feet from the base of the monument. The distance from the base of a flag pole to the top of the monument is 564 feet. What is the angle of elevation from the base of a flag pole to the top of the monument?

Answers

Answer:

Step-by-step explanation:

cosx=100/564

x=arccos(100/564)

x=79.79 degrees (to the nearest hundredth of a degree)

The angle of elevation from the base of a flag pole to the top of the monument is to be considered as the 79.79 degrees.

Calculation of the angle of elevation;

Since there is 100 feet from the base of the monument.

And, The distance from the base of a flag pole to the top of the monument is 564 feet

Now the angle should be like

cosx = 100/564

x = arc cos(100/564)

x=79.79 degrees

hence, The angle of elevation from the base of a flag pole to the top of the monument is to be considered as the 79.79 degrees.

Learn more about an angle here: https://brainly.com/question/124950

Other Questions
Part A: Which of the following is a theme of "Pyramus and Thisbe"?ALove is eternalBLove is all consumingCLove can give you courageDLove conquers allStory:Pyramus and Thisbe by Ovid57 Now Thisbe takes58 great care, that none detect her as she makes59 her way out from the house amid the dark;60 her face is veiled, she finds the tomb; she sits61 beneath the tree they'd chosen for their tryst.62 Love made her bold. But now a lioness63 just done with killing oxen--blood dripped down64 her jaws, her mouth was frothing-- comes to slake65 her thirst as a cool spring close to the tree. 66 By moonlight, Thisbe sees the savage beast;67 with trembling feet; the girl is quick to seek 68 a shadowed cave; but even as she flees, 69 her shawl slips from her shoulders. Thirst appeased,70 the lioness is heading for the woods71 when she, by chance, spies the abandoned shawl. 72 upon the ground and, with her bloodstained jaws,73 tears it to tatters. 74 Pyramus had left75 a little later than his Thisbe had,76 and he could see what surely were the tracks77of a wild beast left clearly on deep dust.78 His face grew ashen. And when he had found78 the bloodstained shawl, he cried: "Now this same night 79 will see two lovers lose their lives: she was80 the one more worth of long life. It's I81 who bear the guilt for this. O my poor girl,82 it's I who led you to your death; I said83 you were to reach this fearful place by night;84 I let you be the first who would arrive85 O all you lions with your lairs beneath86 this cliff, come now,and with your fierce jaws feast87 upon my wretched guts! But cowards talk88 as I do-- longing for their death but not89 prepared to act." At this he gathered up90 the bloody tatters of his Thisbe's shawl91 and set them underneath the shady tree92 where he and she had planned to meet. He wept93 and cried out as he held that dear shawl fast:94"Now drink from my blood, too!" And then he drew 95 his dagger from his belt and thrust it hard96 into his guts. And as he dies, he wrenched97 the dagger from his gushing wound. He fell,98 supine, along the ground. The blood leaped high;99 it spouted like a broken leaden pipe100 that, through a slender hole where it is worn101 sends out a long and hissing stream as jets102 of water cleave the air. And that tree's fruits,103 snow-white before, are bloodstained now, the roots104 are also drenched with Pyramus' dark blood,105 and from those roots the hanging berries draw106 a darker, purple color. Now the girl107 again seeks out the tree: though trembling still,108 she would not fail his tryst, with eyes and soul109 she looks for Pyramus; she wants to tell110 her lover how she had escaped such perils.111 She finds the place-- the tree's familiar shape;112 but seeing all the berries' color changed,113 she is not sure. And as she hesitates, 114 she sights the writhing body on the ground--115 the bloody limbs-- and, paler than boxwood,116 retreats; she trembles-- even as the sea117 when light wind stirs its surface. She is quick118 to recognize her lover; with loud blows119 she beats her arms-- though they do not deserve120 such punishment. She tears her hair, enfolds 121 her love's dear form; she fills his wounds with tears122 that mingle with his blood, and while she plants123 her kisses on his cold face, she laments:124 "What struck you, Pyramus? Why have I lost125 my love? It is your Thisbe-- I -- who call 126 your name! Respond! Lift your fallen head!"127 He heard her name; and lifting his eyes128 weighed down by death, he saw her face-- and then129 he closed his eyes again. She recognized 130 her own shawl and his dagger's ivory sheath.131 She cried: "dear boy, you died by your own hand: 132 your love has killed you. But I, too, command133 the force to face at least this task: I can134 claim love, and it will give me strength enough135 to strike myself. I'll follow you in death;136 and men will say that I --unfortunate--137 was both the cause and comrade of your fate.138 Nothing but death could sever you from me;139 but now death has no power to prevent140 my joining you. I call upon his parents141 and mine; I please for him and me-- do not142 deny to us-- united by true love, 143 who share this fatal moment-- one same tomb.144 And may you, mulberry, who boughs now shade 145 one wretched body and will soon shade two,146 forever bear these darkly colored fruits147 as signs of our sad end, that men remember 148 the death we met together." With these words,149 she placed the dagger's point beneath her breast,150 then leaned against the blade still warm with her151 dear lover's blood. The gods and parents heard152 her prayer,and they were stirred. Her wish was granted. Can someone help me with this question? What are all the real zeros of y=(x-12)^3-7? In the ancient Roman Republic, Mount Etna and Mount Vesuvius provided many different productive resources. They were rich in timber and fertile soil from volcanic ash. The Tiber River provided salt deposits and iron.In the ancient Roman Republic, Mount Etna and Mount Vesuvius and the Tiber River are examples of : A. Natural Resources B. Human Resources C. Capital Resources D. Mixed Resources Which PROGRESSIVE verb tense is being used in this sentence? You are going to be readingthat book for a long time.A. past progressiveB. present progressiveC. future progressive The department manager had to deliver a very complex project to a customer within two hours. Because he knew that he nor any other team member could complete the project alone, he formed a team of four people and they were able to deliver on time. Which statement about their team success in NOT true?A. Team effort allows a group to do more than each person could do on his own B. Synergy is what made it possible to complete the project on timeC. The manager and his team need more technical training so they can get all projects completed by working independently( on their own) D. Teamwork can make a difficult job easierE. Synergy is one of the most powerful elements of teamwork Define the term "cliff". Why is being a phlebotomist better than being a teacher??? 4Eli's family is going to havea big go-cart race and eachgo-cart takes 3- gallon of-gas. If there are 7 go-carts,how many total gallons ofgas do they need to fill upall the go-carts? A poker game requires players to draw a card and roll a die. The combination of card and die will determine if a player wins. There are: 13 different types of cards: Ace, 2,3,4,5,6,7,8,9,10, Jack, Queen, King6 different numbers, one on each face of a die: 1,2,3,4,5,6How many different combinations are there of one card and one die roll? 37893495= what number The construction of makeshift housing in a country within the periphery, as shown in the photograph, is often the result ofA natural disasters that moved through the area, damaging homesnatural disasters that moved through the area, damaging homesB government housing projects that were neglected as a result of government corruptiongovernment housing projects that were neglected as a result of government corruptionC an increasing number of industrial jobs available in a city without adequate housingan increasing number of industrial jobs available in a city without adequate housingD too few schools and an increasing number of informal labor market jobs for children How were the Origins of the American Revolution like? can u help me i have a final exam. Which of these sentences is a compound-complex sentence?a. The acting company features the same players in different roles, but sometimes special stars make guest appearances.b. We have enjoyed many of the companys fine performances of famous plays at our local theater.c. After they performed Macbeth, they put on a musical, but we did not see it Find x and please show your work Which of the following will increase the rate of a chemical reaction?OA.decreasing the experimental temperatureOB.increasing the surface area of the reactantsOC.decreasing the concentration of the reactantsD.all of these Write y=-11x-4 in standard form Find the value of x.[p. 153] A. x = 5 B. x = 10 C. x = 20 D. x = 40 The population of bacteria can be modeled by the function below, where t represents the time since the population started decaying and f(t) represents the population of the remining bacteria at time t. What is the rate of decay for this population? STATION #2Where is DNA located within the cell?Your answer hereNucleusMitochondriacytoplamRibosomaGolgi apparatus