Elena bowls two games on Saturday. Her score in the second game is 30 more than ¾ of her score the first game. Elena's total score for the two games is 478. Write and solve an equation to demonstrate the points scored in her second game.

Answers

Answer 1

Answer:

222 = score in 2nd game

Step-by-step explanation:

Let x = score in 1st game

3/4(x) + 30 = score in 2nd game

x + 3/4(x) + 30 = 478         Multiply thru by 4 to eliminate the fraction

4x + 3x + 120 = 1912

7x + 120 = 1912

7x = 1792

x = 256

3/4(x) + 30 = 3/4(256) + 30

= 192 + 30

222 = score in 2nd game

Check:  222 + 256 = 478


Related Questions

Find the volume of a right circular cone that has a height of 3.2 m and a base with a
radius of 14.1 m. Round your answer to the nearest tenth of a cubic meter.

Answers

Answer:

what's the question i need more info

how many times can 10 go into 111? lol i need help

Answers

Answer:

11.1 times

Step-by-step explanation:

Answer:

11 times

Step-by-step explanation:

10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110

4,400,000 in scientific notation.

Answers

Answer:

4.4 * [tex]10^{6}[/tex]

Step-by-step explanation:

Answer:

4.4 x 10^6

Step-by-step explanation:

The decimal in scientific notation needs to be less than 10, so in this case the decimal has to be 4.4.

After you place the decimal you should have, 4.400000.

Count how much decimal spaces you have to jump in order to get to the end of the number overall, in this case, it is 6 to the 10th power.

So the answer would be, 4.4 x 10^6  


True or false ? Is f(x) a function

Answers

yes its a function because its x value only has 1 y value

Answer:

true

Step-by-step explanation:

6, 18, 54, 162
What is the common ratio

Answers

Answer:

3

Step-by-step explanation:

The common ratio is 3 because 6 x 3 = 18 , 18 x 3 = 54 , and 54 x 3 - 162

Solve and show work.

Answers

5+x=5x+2 =7x. 7x8= 56x

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!

Answers

Answer:

33.51

Step-by-step explanation:

V=4 3πr3=4 3·π·23≈33.51032

Which of the following is equivalent to the addition problem below?

46.61 + 51.52
A.
(40 + 50) + (6 + 1) + (0.6 + 0.5) + (0.01 + 0.02)
B.
(40 + 50) + (6 + 5) + (0.6 + 0.1) + (0.01 + 0.02)
C.
(40 + 10) + (6 + 5) + (0.6 + 0.5) + (0.01 + 0.02)
D.
(40 + 50) + (6 + 1) + (0.6 + 0.1) + (0.05 + 0.02)

Answers

Ok I am fine I am now in

Answer:

A) (40 + 50) + (6 + 1) + (0.6 + 0.5) + (0.01 + 0.02)

Step-by-step explanation:

In this case, you are breaking each term down to it's non-zero digits, and adding them:

46.61 = 40 + 6 + 0.6 + 0.01

51.52 = 50 + 1 + 0.5 + 0.02

Note however, that the answer choices add each individual non-zero terms together:

(40 + 50) + (6 + 1) + (0.6 + 0.5) + (0.01 + 0.02), or A)

A) (40 + 50) + (6 + 1) + (0.6 + 0.5) + (0.01 + 0.02) is your answer.

~

Find X .Round your answer to the nearest tenth of a degree.

Answers

Answer:

Step-by-step explanation:

With reference angle x

perpendicular (p) = 11

hypotenuse (h) = 18

Now

sin x = p / h

sin x = 11 / 18

x = sin ^-1( 11/ 18)

x = 37.66

x = 37.7

Awnser: 37.7

Sin: Oppostie/Hypotonuse

11/18=sin(x)

sin^-1(11/18)= 37.6698...

Martin is making bracelets with yarn and has 4 yards of yarn. Each bracelet takes (1/6) of a yard of yarn. How many bracelets can he make?

Answers

Answer:

24

Step-by-step explanation:

if he splits 1 yard into 6 pcs for 6 bracelets 4 times, thats 24 pieces of yarn that are 1/6 of a yard long meaning he can make 24 bracelets

Please Solve
The equation below

Answers

Answer:

4h+3

Step-by-step explanation:

3h+h+3

4h+3

Given sinx=1/3, cosy=3/4, and both x and y are in quadrant iv, find cos(x-y) and sin(x+y)

Answers

Answer: [tex]\dfrac{6\sqrt{2}+\sqrt{7}}{12},\ \dfrac{-3-2\sqrt{14}}{12}[/tex]

Step-by-step explanation:

Given

x and y is in the fourth quadrant

[tex]\sin x=-\dfrac{1}{3}\\\\\cos y=\dfrac{3}{4}[/tex]

we know,

[tex]\cos (x-y)=\cos x\cos y+\sin x\sin y\\\sin (x+y)=\sin x\cos y+\cos x\sin y[/tex]

using  [tex]\sin ^2\theta +\cos^2 \theta =1[/tex]

[tex]\Rightarrow \cos x=\dfrac{2\sqrt{2}}{3}\\\\\Rightarrow \sin y=-\dfrac{\sqrt{7}}{4}[/tex]

[tex]\Rightarrow \cos(x-y)=(\dfrac{2\sqrt{2}}{3})\times (\dfrac{3}{4})+(-\dfrac{1}{3})\times (-\dfrac{\sqrt{7}}{4})=\dfrac{6\sqrt{2}+\sqrt{7}}{12}\\\\\\\Rightarrow \sin (x+y)=(-\dfrac{1}{3})\times \dfrac{3}{4}+\dfrac{2\sqrt{2}}{3}\times (\dfrac{-\sqrt{7}}{4})=\dfrac{-3-2\sqrt{14}}{12}[/tex]

The model is shaded to represent the remaining one-half of a cake. Three friends will
each receive an equal amount of the remaining cake until it is all gone.
Cake
Which equation can be used to determine the fraction of the whole cake each friend
will receive?

Answers

Answer:

jsjshshshhsgdhshdhdhddhshggzggzgzhshsggggghzhgzgzgdgxgshdhdhgd

Step-by-step explanation:

h

Answer:

h

Step-by-step explanation:

Karen is working on her math homework. She solves the equation b/7


= 35 and says that the solution is b = 5. Do you agree or disagree with Karen?

Answers

Answer:

disagree

Step-by-step explanation:

subtituting b with 5 we get 5/7=35. they are not equal do karen is not correct.

Answer:

No

Step-by-step explanation:

If the equation was 7b=35 then yes Karen would be correct. However the equation is b/7=35 which would get you b = 245

What is the slope of the line? Type fractions as y/x).

Answers

Answer:

Slope is (1, 2)

RHOMBUS The diagonals of rhombus ABCD intersect at E. Given that

mZBAC = 53° and DE = 8, find the indicated measure.

B

А.

53°

mZAED

m2 DAC

m ZADC

AE

DB

8

E

с

AC

D

11. Name the four isosceles triangles in rhombus ABCD.

12. Name three properties of AC and BD.

Answers

Answer:

Question 11:

[tex]\angle DAC = 53^\circ[/tex]

[tex]\angle AED = 90^\circ[/tex]

[tex]\angle ADC = 74[/tex]

[tex]DB = 16[/tex]

[tex]AE = 6.03[/tex]

[tex]AC = 12.06[/tex]

Question 12:

[tex]\triangle ABD[/tex], [tex]\triangle BAC[/tex], [tex]\triangle CDA[/tex] and [tex]\triangle DAB[/tex]

Question 13:

AC and BD are perpendicular lines, and they are diagonals

Step-by-step explanation:

Question 11

Given

[tex]\angle BAC = 53^\circ[/tex]

[tex]DE = 8[/tex]

See attachment for Rhombus

Required

Determine the indicated sides

Solving (a): [tex]\angle DAC[/tex]

Diagonal CA divides [tex]\angle DAB[/tex] into 2 equal angles

i.e

[tex]\angle DAC = \angle BAC[/tex]

So:

[tex]\angle DAC = 53^\circ[/tex]

Solving (b): [tex]\angle AED[/tex]

The angles at E is 90 degrees because diagonals AC and BD meet at a perpendicular.

So:

[tex]\angle AED = 90^\circ[/tex]

Solving (c): [tex]\angle ADC[/tex]

First, we calculate [tex]\angle ADE[/tex], considering [tex]\triangle ADE[/tex]:

[tex]\angle ADE + \angle AED + \angle DAC = 180[/tex]

[tex]\angle ADE + 90 + 53 = 180[/tex]

[tex]\angle ADE + 143 = 180[/tex]

[tex]\angle ADE = -143 + 180[/tex]

[tex]\angle ADE = 37[/tex]

To calculate [tex]\angle ADC[/tex], we have:

[tex]\angle ADC = 2*\angle ADE[/tex]

[tex]\angle ADC = 2* 37[/tex]

[tex]\angle ADC = 74[/tex]

Solving (d): [tex]DB[/tex]

From the rhombus

[tex]DB = DE +EB[/tex]

Where

[tex]DE =EB[/tex]

So:

[tex]DB = 8 + 8[/tex]

[tex]DB = 16[/tex]

Solving (e): [tex]AE[/tex]

To do this we consider [tex]\triangle ADE[/tex]

Using the tan formula

[tex]tan(\angle ADE) = \frac{AE}{DE}[/tex]

[tex]\angle ADE = 37[/tex] and [tex]DE = 8[/tex]

So:

[tex]\tan(37) = \frac{AE}{8}[/tex]

[tex]AE = 8 * \tan(37)[/tex]

[tex]AE = 6.03[/tex]

Solving (f): [tex]AC[/tex]

This is calculated as:

[tex]AC = AE + EC[/tex]

Where

[tex]AE = EC[/tex]

[tex]AC = 6.03 +6.03[/tex]

[tex]AC = 12.06[/tex]

Question 12: Isosceles Triangle

In the rhombus, all 4 sides are equal;

So, the isosceles triangle are:

[tex]\triangle ABD[/tex], [tex]\triangle BAC[/tex], [tex]\triangle CDA[/tex] and [tex]\triangle DAB[/tex]

Question 13:

AC and BD are perpendicular lines, and they are diagonals

In ΔHIJ, h = 3.7 cm, i = 5.4 cm and j=3.8 cm. Find the measure of ∠H to the nearest degree.

Answers

Answer:

43

Step-by-step explanation:

deltamath

Answer:43

Step-by-step explanation:

Jorge is making 6 large salads and 4 small salads. How many cherry tomatoes does he need?

Answers

Answer:

we need an amount of cherry tomatoes per each salad so we can answer.

Step-by-step explanation:

Just name the amount of tomatoes there are in each salad.

Answer:the large one needs 10 and the small one needs 6 so if you get this right can you pick me as the brainliest

Step-by-step explanation:

We know that Jorge is making 6 large salads and 4 small salads. Each large salad needs 10 cherry tomatoes and each small salad needs 6 cherry tomatoes. 6 large salads need 10 cherry tomatoes

help pls i need help​

Answers

Answer:

The second and third one

Step-by-step explanation:

According to the statement, numbers between 4 and 5 is 4.1 - 4.9

But it is doubled so it is 8.2 - 9.8

These numbers are greater than 8 and less than 9

These numbers are also greater than 9 and less than 10

i need help! find the area of the composite figure. if anyone can help i will really appreciate it. thanks! :)

Answers

Answer:

area = 120.7 cm²

Step-by-step explanation:

net area = area of rectangle - area of semi-circle

area = (19 x 7.5) - 1/2(3.14)(4.5²)  

area = 152.5 - 31.8 = 120.7 cm²

A raft travels downriver at a rate of 6 miles per hour. The total distance d in mile that the raft travels is equal to the rate times the number of hours h. Dependent Variable: Independent variable: Equation:

Answers

Answer:

Dependent variable: total distance (d)

Independent variable: number of hours (h)

Equation: d = 6h

Step-by-step explanation:

In this case given, the dependent variable, total distance (d), is dependent on the independent variable, number of hours (h). This is because, a change in the value of h leads to the change in the value of d. In order words, total distance (d) is a function of the number of hours (h).

Therefore:

Dependent variable: total distance (d)

Independent variable: number of hours (h)

Rate: 6 miles/hr

Equation: d = 6h

1. How many sheets can a copier reproduce in 5 min. if it makes a copy every 1 ⅑ sec.?​

Answers

Answer:

4.5 or just say 4 if your gonna round it up. hope this helped :)

Step-by-step explanation:

HURRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRRYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYYR

Answers

Answer:

You're answer is c 55/6.

Answer:

C. 55/6

Step-by-step explanation:

It’s 11/3 + 11/2. To get the same denominator multiple the top and bottom of the left fraction by 2 and the top and bottom of the right fraction by 3. Then you get 22/6 + 33/6 which is 55/6

Tell whether the angles are adjacent or vertical. Then find the value of x.

Answers

Answer:

They are vertical

x=32.5

Step-by-step explanation:

75 + 4x-25 = 180

4x = 180+25-75

4x=130

x=32.5

please help i’ll give brainliest if you help thanks

Answers

Answer:

pretty sure its 4b!

Step-by-step explanation:

Answer:

4b

Step-by-step explanation:

(i) Factorise the expression x^3 + 3x - x^2 - 3 completely.

(ii) Hence, express (x^2 – 3)^3 - (2 - x^2)^2 + 3(x^2- 3) in the form (x^4+Ax^2+B)(x^2+ C), where A, B and C are integers.

Answers

Step-by-step explanation:

Answer 1 put all like terms then solve

hope it helps....

a) The value of the equation is A = ( x - 1 ) ( x² + 3 )

b) The value of the equation is B = ( x⁴ - 6x² + 10 ) ( x² - 4 )

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

a)

The equation is A = x³ + 3x - x² - 3  

On simplifying the equation , we get

A = x³ - x² + 3x - 3

A = x² ( x - 1 ) + 3 ( x - 1 )

On factorizing the equation , we get

A = ( x² + 3 ) ( x - 1 )

b)

The equation is B = ( x² - 3 )³ - ( 2 - x² )² + 3 ( x² - 3 )

On simplifying the equation , we get

B =  ( x² - 3 )³ - ( x⁴ - 2x² - 2x² + 4 ) + 3 ( x² - 3 )

On further simplification , we get

B = ( x² - 3 )³ - x⁴ + 4x² - 4 + 3x² - 9

B = ( x² - 3 )³ - x⁴ + 7x² - 13

On factorizing the equation , we get

B = ( x - 2 ) ( x⁵ + 2x⁴ - 6x³ - 12x² + 10x + 20 )

B = ( x - 2 ) ( x + 2 ) ( x⁴ - 6x² + 10 )

And , on further simplification , we get

B = ( x² - 4 ) ( x⁴ - 6x² + 10 )

Hence , the equation is B = ( x² - 4 ) ( x⁴ - 6x² + 10 )

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

Solve the unit rate

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

See the thing on the left?

▢ unknown

-  =  -

▢   1

Fraction lines that look like minus signs, missing units, poor formatting—it’s ridiculously unclear!

::::;

Julius’s walking rate is

(12 miles)/(3 hours) = (4 miles)/(1 hour)

time walked in 1 hour = 1 hour × (4 miles)/(1 hour) = 4 miles

time walked in 2.5 hours = 2.5 hours × (4 miles)/(1 hour) = 10 miles

time walked in 13 hours = 13 hours × (4 miles)/(1 hour) = 52 miles

time required to walk 27 miles = 27 miles × (1 hour)/(4 miles) = 6.75 hours

time required to walk 106 miles = 106 miles × (1 hour)/(4 miles) = 26.5 hours

Find the GCF of 5y5 and 50y2.

Answers

Answer: [tex]5y^2[/tex]

Step-by-step explanation:

Given

[tex]5y^5\ \text{and}\ 50y^2[/tex]

GCF or HCF of the two is the highest common factor

[tex]\Rightarrow 5y^5=5\times y^2\times y^3\\\Rightarrow 50y^2=5\times y^2\times 10[/tex]

It is clear GCF is [tex]5y^2[/tex]

Line segment JL is an altitude in triangle JKM. Triangle K J M is shown. Angle K J M is a right angle. An altitude is drawn from point J to point L on side K M to form a right angle. The length of K J is 13, the length of J L is 5, and the length of J M is 8. Which statement explains whether JKM is a right triangle? Round measures to the nearest tenth. JKM is a right triangle because KL + LM = 15.3. JKM is a right triangle because KL + LM = 18.2. JKM is not a right triangle because KL + LM ≠ 15.3. JKM is not a right triangle because KL + LM ≠ 18.2.

Answers

Answer:

JKM is not a right triangle because KL + LM ≠ 15.3.

Step-by-step explanation:

Given

[tex]JK = 13[/tex]

[tex]JL = 5[/tex]

[tex]JM = 8[/tex]

Required

Determine if JKM is right-angles or not

Calculate length KL using Pythagoras theorem.

[tex]JK^2 = JL^2 + KL^2[/tex]

[tex]13^2 = 5^2 + KL^2[/tex]

Collect like terms

[tex]KL^2 = 13^2 - 5^2[/tex]

[tex]KL^2 = 144[/tex]

[tex]KL = 12[/tex]

Calculate length LM using Pythagoras theorem.

[tex]JM^2 = JL^2 + LM^2[/tex]

[tex]8^2 = 5^2 + LM^2[/tex]

Collect like terms

[tex]LM^2 = 8^2 - 5^2[/tex]

[tex]LM^2 = 39[/tex]

[tex]LM = \sqrt{39[/tex]

[tex]LM = 6.2[/tex]

[tex]KM = KL + LM[/tex]

[tex]KM = 12 + 6.2[/tex]

[tex]KM = 18.2[/tex]

If JKM is right-angled, then:

[tex]KM^2 = JK^2 + JM^2[/tex]

[tex]KM^2 = 13^2 + 8^2[/tex]

[tex]KM^2 = 233[/tex]

[tex]KM = \sqrt{233[/tex]

[tex]KM = 15.3[/tex]

[tex]15.3 \ne 18.2[/tex]

i.e

[tex]KL + LM \ne 15.3[/tex]

Hence: JKM is not right-angled

Answer:

C-JKM is not a right triangle because KL + LM ≠ 15.3

Step-by-step explanation:

if right mark as brainliest

can somebody please help, I want to say it's be, but I also think it might be D ​

Answers

Step-by-step explanation:

I think it's option B is the correct answer of this question.

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