Find two numbers with a sum of 65. Twice the smaller number is 10 more than the larger number.

Answers

Answer 1

Answer:

40 and 25

Step-by-step explanation:

Let the two numbers be x and y. If the sum of the numbers is 65, then;

x+y = 65........ 1

Given twice the smaller number is 10 more than the larger number, this can be written as 2x = 10+y (taking x as the smallest and y as the largest)

Therefore 2x = 10+y

x = 10+y/2 ....... 2

Substitute equation 2 into 1 to have;

10+y/2 +y = 65

Find the LCM

(10+y+2y)/2 = 65

10+3y/2 = 65

cross multiply

10+3y = 130

3y = 130 -10

3y = 120

y = 120/3

y = 40

Since 2x =10+y

2x = 10+40

2x = 50

x = 50/2

x = 25

Therefore the two numbers are 40 and 25

Answer 2

Answer:

40 and 25

Step-by-step explanation:


Related Questions

Which expression is equivalent to 1/2 x + (-70) - 2 1/4 x - (-2) *

Answers

Answer:

-7/4x-68

Step-by-step explanation:

A local brewery produces three premium lagers named Half Pint, XXX, and Dark Night. Of its premium lagers, they bottle 40% Half Pint, 40% XXX, and 20% Dark Night lagers. In a marketing test of a sample of consumers, 27 preferred the Half Pint lager, 29 preferred the XXX lager, and 24 preferred the Dark Night lager. Using a chi-square goodness-of-fit test, decide to retain or reject the null hypothesis that production of the premium lagers matches these consumer preferences using a 0.05 level of significance. State the value of the test statistic. (Round your answer to two decimal places.) $ \chi_{obt}^2 $

Answers

Answer:

reject the null hypothesis

Step-by-step explanation:

Total observation = 27+49+24 = 100

Expected Frequency :

Half Pint = 100 × 0.4 = 40

XXX = 100 × 0.4 = 40

Dark night = 100 × 0.2 = 20

The Chi-square goodness-of-fit test can be computed as follows:

             Observed              Expected                  [tex]X^2 = \dfrac{(O- E)^2}{E}[/tex]

            Frequency(O)         Frequency (E)

Half-       27                            40                                 4.225      

Pint

XXX       29                           40                                  3.025

Dark-       24                          20                                  0.8

night

Total      100                         100                                 8.05

The test statistics [tex]X^2[/tex] = 8.05

8.05

degree of freedom = n -1

degree of freedom =  3 - 1

degree of freedom =  2

The p-value can be computed by using the EXCEL FORMULA (=CHIDIST(8.05,2)

p-value = 0.01786

Since the p-value is less than the level of significance, we reject the null hypothesis

Also using the critical value approach from the EXCEL FUNCTION;

critical chi-square  (=CHIINV(0.05,2) = 5.99

[tex]X^2 > 5.99[/tex], therefore, we reject the null hypothesis

Please answer the question. Thank you.

Answers

your answer will be D
Answer: not sure if B or A is first but one of them and than it goes C and D

Frank needs 3.6 meters of ribbon to wrap gifts for friends this year. If each spool contains 90 cm of ribbon,how many spools will Frank need to purchase?

Answers

Answer:a lot

Step-by-step explanation:




Plot the point then draw the shape
they create. What shape does it
create?
(2,5)
(7, 1)
(5,5-)
(-1,-5)
(-3,1)

Answers

I drew a graph and plotted the coordinates. a hexagon is the shape u will get

0.01 is...........0.01

Answers

Answer:

=

Step-by-step explanation:

0.01 is = to 0.01

Find the area and perimeter of a court with dimensions of 50ft by 84ft.

Answers

Answer:

Area: 4200

Perimeter: 268

Step-by-step explanation:

To find the area, multiply length and width (50 x 84)

To find perimeter, add up the lengths of all the sides (50+50+84+84)

Hope this helps!

An observer (O) spots a plane flying at a 55° angle to his horizontal line of sight. If the plane is flying at an altitude of 21,000 ft., what is the distance (x) from the plane (P) to the observer (O)?

Answers

Answer:

Step-by-step explanation:

The givens form a right triangle. The operational definition is The opposite over the hypotenuse, where the hypotenuse is the unknown.

sin(x) = 21000/hypotenuse

sin(55) = 21000 / hypotenuse

hypotenuse * sin(55) = 21000

hypotenuse = 21000/sin(55)

hypotenuse = 25636 feet.= 26000 feet rounded.

The answer does make sense. The hypotenuse is larger than the given height.

a rectangle is 41 cm on one side and 12 cm on the other side.what is the perimeter?

Answers

Answer: 106cm

Explanation: (L+W)2
(41+12)2
82+24=106

Answer:

106

Step-by-step explanation:

David and Amrita had an equal number of marbles. After Amrita gave 50 marbles to David, he had 5 times as many marbles as her. Find the total number of marbles they had.

Answers

Answer:

Step-by-step explanation:

a = d before Anna gives away 50 marbles.

 

5 (a-50) = a +50 after Anna gives away 50 marbles.

 

5a - 250 = a + 50

 

4a = 300

 

a = 75

 

Anna has 75 marbles at the beginning and so did David.

 

Together they have 150 marbles.

:)

Answer:

150

Step-by-step explanation:

Originally, they had the same number, so they both had x marbles each.

David: x

Amrita: x

Amrita gives 50 marbles to David. Now they have:

David: x + 50

Amrita: x - 50

"he had 5 times as many marbles as her"

x + 50 = 5(x - 50)

x + 50 = 5x - 250

-4x = -300

x = 75

Each had 75 marbles to start with.

75 + 75 = 150

The total is 150.

63x^12-35x^6 help pls

Answers

Answer:

7x^6×(9×^6-5)

Step-by-step explanation:

63x^12-35x^6

7x^6×(9×^6-5)

Answer:I dont know

Step-by-step explanation: Can you pls rate this good I am in 2 grade

Guess and win math cash 0 and 99999

Answers

Answer:

12345

Step-by-step explanation:

乁[ ◕ ᴥ ◕ ]ㄏฅ^•ﻌ•^ฅ▼・ᴥ・▼

0-99999

(IT COULd Be aNy?) This writing was a joke. BUT WHAT IS THE ANSWER!!!!!!!!

please answer thank you!

Answers

Answer:

C

Step-by-step explanation:

C is the answer because -2+16=14 and 9x+x=10x

historians label an event as a turning point when it​

Answers

Answer:

F

Step-by-step explanation:

Answer:

Historians label an event as a turning point when it​ marks the beginning of a distant historical period

Step-by-step explanation:

Precalc Help me Please

Answers

We just need to solve for y when x = -2

Solution:

y = 2|-2 + 1|

y = 2|-1|

y = 2(1)

y = 2

Therefore, the answer is Option 3

Best of Luck!


a. Plot 13.58 on a number line on which the long
tick marks are whole numbers.
b. Plot 0.193 on a number line on which the long
tick marks are tenths.
c. Plot 26.9999 on a number line on which the
long tick marks are thousandths.

Answers

Answer:

Se attached for plots and here is position of the numbers:

a. Plot 13.58 on a number line on which the long

tick marks are whole numbers.

13 < 13.58 < 14

b. Plot 0.193 on a number line on which the long

tick marks are tenths.

0.1 < 0.193 < 0.2

c. Plot 26.9999 on a number line on which the

long tick marks are thousandths.

26.999 < 26.9999 < 27.000

2/7+3/8= Please I don’t know what to do so can you help me

Answers

37/56 is the answer

you can cross multiply

Answer:

37/56

Step-by-step explanation:

Find the least common multiple of the denominators (56).

7x8=56

8x7=56

2x8=16

3x7=21

16+21=37

37/56

Temp went from -16 to 7.What was the change in temperature

Answers

Answer:

Change in temperature is +23 degrees.

Answer:

23 Degrees

Step-by-step explanation:

To solve this, we set up an equation:

T = 7 - -16

This can be rewritten as:

T = 7 + 16

T = 23

___________________________________________________I AM ALWAYS HAPPY TO HELP :)

Find the point (x1,x2) that lies on the line x1 +5x2 =7 and on the line x1 - 2x2 = -2.

Answers

Given :

Two equation [tex]x_1 +5x_2 =7[/tex] and [tex]x_1 - 2x_2 = -2[/tex] .

To Find :

The point of intersection of these lines .

Solution :

We will use elimination method :

From equation 1 :

[tex]x_1=7-5x_2[/tex]

Putting value of [tex]x_1[/tex] in equation 2 we get :

[tex](7-5x_2)-2x_2=-2\\\\7-7x_2=-2\\\\x_2=\dfrac{9}{7}[/tex]

Putting value of [tex]x_2[/tex] in equation 1 we get :

[tex]x_1+5\times \dfrac{9}{7}=7\\\\x_1=\dfrac{4}{7}[/tex]

Therefore , point of interaction is [tex](\dfrac{4}{7},\dfrac{9}{7})[/tex] .

Hence , this is the required solution .

The point is: [tex]\left(x_{1},x_{2}\right)=\left(\frac{4}{7},\frac{9}{7}\right)[/tex]

We will solve the given system of equations.

Subtract the second equation from the first one:

[tex]\left(x_{1}+5x_{2}\right)-\left(x_{1}-2x_{2}\right)=7-\left(-2\right)\\x_{1}+5x_{2}-x_{1}+2x_{2}=7+2\\7x_{2}=9\\x_{2}=\frac{9}{7}[/tex]

Then we plug [tex]x_{2}=\frac{9}{7}[/tex] in the given first equation.

[tex]x_{1}+5x_{2}=7\\x_{1}+5\left(\frac{9}{7}\right)=7\\x_{1}+\frac{45}{7}=7\\x_{1}=7-\frac{45}{7}\\x_{1}=\frac{4}{7}[/tex]

So the point is: [tex]\left(x_{1},x_{2}\right)=\left(\frac{4}{7},\frac{9}{7}\right)[/tex]

Learn more: https://brainly.com/question/16236436

9 and 26 find the LCM

Answers

Answer:

The answer is 234

Step-by-step explanation:

Answer:234..............

Ahmed wrote two numbers the first number has a seven and it’s tenths place the second number has a seven with a value that is 1000 times greater than the value of the seven in the first in which place is a seven and the second number

Answers

Answer: I think the answer is thousands

Step-by-step explanation:

Answer:

100,000

Step-by-step explanation:

first # = 70, 2 digits

second # = 1,000 times greater than 70  1,000 = 4 digits

4 + 2 = 6, 100,000 = 6 digits

15 = x + 13
which property could be used to solve this equation

Answers

Steps to solve:

15 = x + 13

~Subtract 13 to both sides

2 = x

Best of Luck!

Find the population mean or sample mean as indicated.Sample: 19, 15, 6, 11, 24Required:Compute the sample mean for this data set.

Answers

Answer:

The sample mean is 15.

Step-by-step explanation:

We have given data 19, 15, 6, 11, 24.

We are required to find the sample mean. The sample mean can be determined by adding all the given value and then divide by the total numbers or how many numbers. Below is the calculation of the mean.

Sample mean = (19+ 15 +6 +11 +24) / 5

Sample mean = 75 / 5

Sample mean = 15

Therefore the sample mean of the given data is 15.

Point U is located at (1,-4) on the coordinate plane. Point U is reflected on

-axis to create point U'. What ordered pair describes the location of U'?

Answers

Given :

A point U located at (1,-4) on the coordinate plane.

To Find :

The reflection of point U on x-axis.

Solution :

Reflection of any point ( h , k ) on x-axis is ( h , - k ) .

So , the reflection of point U i.e ( 1 , -4 ) is ( 1 , 4 ) .

Therefore , the ordered pair describes the location of U' is ( 1 , 4 ).

Hence , this is the required solution .

3
Type the correct answer in each box. Use numerals instead of words.
Complete the table of inputs and outputs for the function.
f(x) = -5(x + 7)
-9
0
0
-60
Reset
Next

Answers

Answer:

(-9,10),(-7,0)(0,-35)(5,-60)

Step-by-step explanation:

The temperature in a town is 24.8 during the day and -8.1 at night. Find the difference in the temperatures.

Answers

The difference is exactly 32.9 degrees

Solve for x: 3(x + 1) = −2(x − 1) − 4. (1 point)

Answers

Answer:

X=2.5 (btw im a rising 5th grader just saying) i hope i helped u

Step-by-step explanation:

3x+3=-2x+2-4      (get rid of the parenthesis)

+2x      +2x             (get rid of 2x)

5x+3=2-4

+4       +4                (get rid of 4)

5x+7=2

-7    -7                      (get rid of 7)

5x=2

5/2=2.5                   (solve)

Pretty sure the answer is X=-5

plz help quicky.......................................

Answers

Person in comments said - 1.A 2. A 3. C 4. A

A survey of 500 farmers showed that of the​ farmers, 121 grew only​ wheat, 108 grew only​ corn, 92 grew only​ oats, 195 grew​ wheat, 59 grew wheat and​ corn, 48 grew wheat and​ oats, and 176 grew corn. Determine the number of farmers who ​a) grew at least one of the​ three, ​b) grew all​ three, ​c) did not grow any of the​ three, and ​d) grew exactly two of the three.

Answers

Answer:

The farmers in regions II, IV, and VI had exactly two of the three Summing the numbers in these regions 25 + 15 + 10 we find the that 50 farmers grew exactly two of the three.

Items 2-4. Points P, Q, and Sare
collinear.
(3x - 5)
0
(x + 1)
s
2. What is the value of x?
3. What is m ZPQR?
will
11. M
4. If a ray QT bisects ZRQS, what
will be the measure of one of the
resulting angles?
m
of
5. Points L, M, and N are collinear.
You are given LM = 5 and LN = 17.
What is a possible value of MN?
Flb
6. Ray BD bisects ZABC so that
mZDBC = x + 6 and
mZABD = 2x - 12. What is x?

Answers

Answer:

See below

Step-by-step explanation:

2......................

∠PQR and ∠RQS are supplementary, which add up 180°

∠PQR = 3x - 5∠RQS = x + 1

Sum:

3x - 5 + x + 1 = 1804x - 4 = 1804x = 184x = 46°

3......................

∠PQR = 3x - 5 = 3*46° - 5° = 138° - 5° = 133°

4......................

From the picture and the value of x we got above:

∠RQS = x + 1 = 46 + 1= 47°

QT bisects ∠RQS and we get two equal angles

Each will measure:

47°/2 = 23.5°

5......................

LM = 5, LN = 17, MN = ?

If L is between M and N, then

MN = LM + LN = 5 + 17 = 22

M is between L and N, then

MN = LN - LM = 17 - 5 = 12

5......................

Ray BD bisects ∠ABC, then formed angles are equal:

m∠DBC = x + 6 m∠ABD = 2x - 12

m∠DBC = m∠ABD

x + 6 = 2x - 122x - x =6 + 12x = 18°

Other Questions
If you drop an object with a mass of 3.66 grams and a volume of 4 mL into a beaker containing dish soap, would it float or sink? Dish soap has a density of 0.93 g/mL Aujourdhui, tu ___regardes_____________la tl. ( Present tenseconjugate the verb) Hier, tu ____as regard______________ la television. (Past tenseuse AVOIR and the past participle) Demain, tu ___vas regarder__________________ la tl. (future tenseuse ALLER and the infinitive) 1. FAIRE: Aujourdhui, nous ________________________ nos devoirs. Hier, nous_________________________ nos devoirs. Demain, nous ___________________________ nos devoirs. 2. TRE: Aujourdhui, elles _____________________ absentes. Hier, elles ____________________________ absentes Demain, elles __________________________ absentes. 3. AVOIR: Aujourdhui, tu ______________________ un accident. Hier, tu ______________________________ un accident. Demain, tu _______________________________ un accident. 4. TRAVAILLER: Aujourdhui, je _________________________ Hier, je _______________________________________ Demain, je _____________________________________ 5. DEVOIR: Aujoudhui, vous ________________ tudier. Hier, vous ______________________________ tudier. Demain, vous ____________________________ tudier. 6. PATINER: Aujourdhui, il ________________ . Hier, il _________________________________ . Demain, il _______________________________ . 7. MANGER: Aujourdhui, nous _________________________. Hier, nous ____________________________________. Demain, Nous _____________________________________. 8. CHANTER: Aujourdhui, tu ____________________. Hier, tu __________________________________. Demain, tu _______________________________. take the following verbs and conjugate themfirst in the present/then the past/and then the future: 1. couter: elle __________________ / elle ________________________/ elle ___________________ 2. faire: vous ___________________/ vous ________________________/ vous ____________________ 3. aimer: elles _____________________/elles ______________________/ elles ___________________ 4. avoir: nous ____________________/ nous _____________________/ nous _____________________ 5. tre: je ________________________/ je/j ______________________ / je ______________________ 6. devoir: tu _____________________/ tu _________________________/ tu _____________________ 7. habiter: ils ______________________/ ils _______________________/ ils ______________________ Finally, conjugate the verb aller in the present and future ONLY in the following (you dont use AVOIR as the helping or auxiliary verb, so you cant use that yet in the pastcome to class next week to learn more) 1. Aujourdhui, ils _____________ Paris. Demain, Ils __________________________ Paris. Complete this 6 letter word: _ o _ e _ h Clue: 1. Girls love it. 2. Boys use it. 3. Parents hate it. 4. Animals are scared of it. Time to see how well you know your peers. What percentage of incoming college students are frequent, high-risk drinkers The internal LAN is generally considered a trusted zone.a. Trueb. False Why is it important to dress nice for ffa? Explain what the interactions between George and his fatherdemonstrate about their relationship. Support your response witdetails from the passage. When 1 carbon atom combines with 2 oxygen atoms, the resulting substance is called a Read this excerpt from "The All-American Slurp." As our family of four sat stiffly in a row, my younger brother and I stole glances at our parents for a clue as to what to do next. What part of the plot is revealed in this excerpt? Midpoint (10,4) Endpoint (9,-4), find the coordinates of the other endpoint. You have a balance of $213 in a savings account you withdraw $68 one day and $128 the next day without making any deposit what is the new balance When is a hurricane considered to have made landfall?A) when the eye reaches The land mass?B)when at least if inch of rain occurs?C) when the outer wind bands make landfallD) when it moves inland from the coast? Who ever answers first gets crowned brainliest. 0.03460 as a fraction. An air mass that originates over land in central america is most likely which equation is a function of x ? A. x=5 B. x=y squared +9 C. x squared=y D. x squared=y squared +16 Jacob cut a 126 centimetre rope into 4 equal pieces. How long is each new piece of rope drag and drop answer choice into the categroy in which it fits best A triangle with vertices at A(0,0), B(0,4), and C(6,0) is dilated to yield a triangle with vertices at A(0,0), B(0,10) and C(15,0). The origin is the center of dilation. What is the scale factor of the dilation? A. 1.5B. 2C. 2.5D. 3 Are all cracks in earth produce earthquakes The Red Sea is a seawater inlet of ___________