The difference between two numbers is 56. Five times the smaller is equal to 4 more than the larger. What are the numbers?

Answers

Answer 1
Answer: The numbers are 71 and 15.

Explanation:
Let x = the first number
Let y = the second number

From what they give us, we know:
x - y = 56
5y = x + 4

Either one of the equations can be rearranged and substituted into the other equation to find one variable, or number.

5y = x + 4
5y - 4 = x or x = 5y - 4

x - y = 56
5y - 4 - y = 56
4y - 4 = 56
4y = 60
y = 15

To find the other variable (number), substitute that value in either equation.

x - y = 56
x - 15 = 56
x = 71

To check the solutions, substitute both variables into each equation to make sure they work.

x - y = 56
71 - 15 = 56
56 = 56

5y = x + 4
5*15 = 71 + 4
75 = 75

Related Questions

which line is a graph of the equation 2x+5y=-10?​

Answers

5y=-2x-10

y=-2/5x-2

Rewriting the equation to slope intercept form, you get that the slope is -2/5 and the y intercept is -2. The graph that matches that is line d.

Answer:

Line D (-5,-2)

Step-by-step explanation:

I usually just use the website, demos graphing calculator.

The side lengths of a 30-60-90 triangle are in the ratio 1: V3 : 2. What is
sin 30°?

Answers

Answer:

A

Step-by-step explanation:

side opposite to smallest angle is smallest=1

Hypotenuse=2

sin 30=1/2

Have to finish these by the 23rd :(

Answers

Answer:

5/6

Step-by-step explanation:

x²- 3x + 7 / x + 4

when [x = 2]

Putting the value of x,

2² - 3(2) + 7 / 2 + 4

= 4 - 6 + 7 / 6

=5 / 6

A new car that is a gas- and electric-powered hybrid has recently hit the market. The distance traveled on 1 gallon of fuel is normally distributed with a mean of 65 miles and a standard deviation of 7 miles. Find the probability of the following events: a. The car travels more than 69 miles per gallon. Proba

Answers

Answer:

0.28386

Step-by-step explanation:

Given that :

Mean, μ = 65 miles

Standard deviation, σ = 7 miles

Probability that car travels more than 69 miles per gallon :

Recall,

Z = (x - μ) / σ ; x = 69

Z = (69 - 65) / 7 = 0.5714

The probability :

P(Z > z) = P(Z > 0.5714) = 1 - P(Z < 0.5714)

P(Z > 0.5714) = 1 - P(Z < 0.5714) = 1 - 0.71614 = 0.28386

P(Z > 0.5714) = 0.28386

Consider the function below. 74 POINTS!!!!!!!!

Which of the following functions could be the inverse of function f?

Answers

Answer:

x         -2     3     8     13

f^-1(x)  -1    0     1        2

Step-by-step explanation:

The inverse function has the input as the output and the output as the input

x         -2     3     8     13

f^-1(x)  -1    0     1        2

Answer: C

Step-by-step explanation: In this problem, we're given a function

in the form of a chart and we're asked to find the inverse of the function.

To find the inverse of a function, we simply switch

the x and y values in each point.

In other words, the point (-1, -2) becomes (-2, -1),

the point (0, 3) becomes (3, 0), the point (1, 8) becomes (8, 1),

and the point (2, 13) becomes (13, 2).

x.(9x-1).(x+2)-x(3x-1).(3x+1)

Answers

Answer:

Sorry if i'm wrong.

=6x² + 16x - 2


Solve for x in the drawing above.

Answers

Answer:

x is 28°

Step-by-step explanation:

Alternate angles of parallel lines:

[tex]{ \sf{x = \frac{1}{2} \times 56 \degree }} \\ { \sf{x = 28 \degree}}[/tex]

Answer:

Hello,

28°

Step-by-step explanation:

Calculate the complementary angle of x =y

In the triangle on the right :

y+y+56°=180°

y=62°

So x=90°-62°=28°

I think of a number I multiply it by 4 subtract by 6 and the divide by 5 if the answer is 10 what was the original number

Answers

Answer:

Step-by-step explanation:

(4x-6)/5 = 10

4x-6 = 50

4x = 56

x = 14

The slope of a line is -4 and Y negative intercept is -3 what is the equation of the line written in slope intercept form

Answers

Answer:

y = mx + c

m = -4

at y intercept x = 0

(x,y) =(0,-3)

-3 = -4(0) + c

c = -3

therefore the answer is y = -4x + c

If p:q=3:4 and q:r=14:9, find p:r

Answers

Answer:

7/6

Step-by-step explanation:

p=3/4*q

q=14/9*r

so p=3/4*14/9r=7/6r

A spinner numbered 1 to 6 is spun ten times, giving the results : 2, 5, 3, 5, 1, 2, 3, 3, 4, 6. The experimental probability of getting a 2 is:

Answers

Answer:

1 / 5

Step-by-step explanation:

Given the outcome of number cube spin : 2, 5, 3, 5, 1, 2, 3, 3, 4, 6

The experimental probability of an event, A is given as :

P(A) = number of times A occurs / total number of trials

Therefore, the experimental probability of getting 2 ;

P(getting 2) = Number of times 2 occurs / total number of trials

P(getting 2) = 2 / 10 = 1/5

Graph the relation shown in the table. Is the relation a function? Why or why not?

Answers

Answer:

what can i help u with

Step-by-step explanation:

No; the relation passes the vertical-line test. Yes; only one range value exists for each domain value

Yes; two domain values exist for range

yes; only one range value exists for each domain.

This is for geometry, please help ASAP

Answers

Answer:

Option C,

y² = 18x, since the graph opens right

Answered by GAUTHMATH

calculate the area of a sector with radius 13m and angle 93​

Answers

Answer:

137.16

Step-by-step explanation:

we have a formular of the area of a sector:

S= pi*(its angle)/360*R^2

so apply to it

S= pi*(93/360)*13^2=137.16

cho tam giác ABC vuông tại A < góc B=a chứng minh: a) 1+[tex]tan^{2}[/tex]a=[tex]\frac{1}{sin^{2}a }[/tex]
làm giúp mình với

Answers

LHS:-

[tex]\\ \sf\longmapsto 1+tan^2A[/tex]

[tex]\boxed{\sf tanA=\dfrac{sinA}{cosA}}[/tex]

[tex]\\ \sf\longmapsto 1+\dfrac{sin^2A}{cos^2A}[/tex]

[tex]\\ \sf\longmapsto \dfrac{cos^2A+sin^2A}{cos^2A}[/tex]

[tex]\boxed{\sf cos^2A+sin^2A=1}[/tex]

[tex]\\ \sf\longmapsto \dfrac{1}{cos^2A}[/tex]

[tex]\\ \sf\longmapsto \dfrac{1}{1-sin^2A}[/tex]

[tex]\\ \sf\longmapsto \dfrac{1}{1}-\dfrac{1}{sin^2A}[/tex]

[tex]\\ \sf\longmapsto \dfrac{1}{sin^2A}[/tex]

Hence verified

PLEASE HELPPP

Which statement correctly compares the reading speed of Danika and Kevin?

A. Each hour, Kevin reads 10 fewer pages than Danika.

B. Each hour, Kevin reads 10 pages more than Danika.

C. Each hour, Kevin reads 5 fewer pages than Danika.

D. Each hour, Kevin reads 5 pages more than Danika.​

Answers

Answer:

No.B is correct statement

PLEASE HELP! ASAP
Sarah is five years old. When she asked her father about his age, he gave her this answer. "When you are my age, I will be 67." How old is her dad?

Answers

Her dad = 36

Sarah = 5

After 31 years sarah = 36

And her dad = 67

Answered by Gauthmath must click thanks and mark brainliest

If mBAC = 90°, and mZDAC = 68°,
then mBAD = [?]

Answers

Answer:

22 degrees

Step-by-step explanation:

BAC=90 and DAC=68

DAC+BAD=BAC=90

so BAD=BAC=DAC

so BAD=90-68

= BAD=22 degrees

Answer:

The answer according to my calculations would be 22 degrees

Step-by-step explanation:

Fill in the box 22

ILL GIVE POINTS!!

Suppose a triangle has two sides of length 3 and 4 and that the angle
between these two sides is pi/3 What is the length of the third side of the
triangle?
A. sqrt13
B. 4sqrt3
C. sqrt3
D. 3

Answers

Answer:

no A

Step-by-step explanation:

sqrt13 is the ans

hope it helps

[tex]4x+2=2(x+6)[/tex]

Solve for x.

Answers

Answer:

[tex]x = 5[/tex]

Step-by-step explanation:

Step 1:  Distribute

[tex]4x + 2 = 2(x + 6)[/tex]

[tex]4x + 2 = (2 * x) + (2 * 6)[/tex]

[tex]4x + 2 = 2x + 12[/tex]

Step 2:  Subtract 2 from both sides

[tex]4x + 2 - 2 = 2x + 12 - 2[/tex]

[tex]4x = 2x + 10[/tex]

Step 3:  Subtract 2x from both sides

[tex]4x - 2x = 2x - 2x + 10[/tex]

[tex]2x = 10[/tex]

Step 4:  Divide both sides by 2

[tex]2x / 2 = 10 / 2[/tex]

[tex]x = 5[/tex]

Answer:  [tex]x = 5[/tex]

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]x = 5[/tex]

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Solving for 'x'...}}\\\\4x + 2 =2(x+6)\\------------\\\rightarrow 4x + 2 = 2x + 12\\\\\rightarrow4x - 2x +2 = 2x - 2x + 12\\\\\rightarrow 2x + 2 = 12\\\\\rightarrow2x + 2 - 2 = 12 - 2\\\\\rightarrow 2x = 10\\\\\rightarrow \frac{2x=10}{2}\\\\\rightarrow \boxed{x = 5}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

What is the total surface area of the square pyramid below?
14 cm
10 cm
10 cm
O 100 cm
O 200 cm
O 280 cm?
O 380 cm?
a

Answers

Answer:

D

Step-by-step explanation:

380

Find the missing angles indicated by small letters in each of the diagram. ​

Answers

Answer:

a) X=75°

y= 105°

b) b= 120°

a=45°

d) r=75°

q=37°

p= 37°

e) y=100°

X= 143°

Step-by-step explanation:

soln no. a

here,

X+50+55=180(sum of all angle of triangle)

or, X= 180-105

or, X= 75°

again,

X+y = 180 (straight angle)

or, y= 180-75

or, y= 105°

soln no b

here,

b+60=180(straight angle)

or, b = 180 - 60

or, b = 120°

again,

a+60+75=180(sum of all angle of triangle)

or, a = 180- 135

or, a = 45°

soln no. d

here,

r=70°( alternate angle)

again,

73°+q+r=180( sum of all angle of triangle)

or,q=180-143

or,q=37°

again,

p=q=37(alternate angle)

soln no. e

y+80=180(straight angle)

or,y= 180-80

or, y = 100°

again,

63+80+<RMB=180(sum of all angles of triangle)

or, 143+<RMB=180

or, <RMB=180-143

or,<RMB= 37°

again,

X+ <RMB= 180(straight angle)

or,X= 180°-37°

or, X = 143°

If a^2+1/a^2=79 where (a>0), find the value of a^3 +1/a^3

Answers

Note the binomial expansion,

(a + 1/a)³ = a ³ + 3a + 3/a + 1/a ³

so

a ³ + 1/a ³ = (a + 1/a)³ - 3 (a + 1/a)

Similarly,

(a + 1/a)² = a ² + 2 + 1/a ²

We're given a ² + 1/a ² = 79, so

(a + 1/a)² - 2 = 79

(a + 1/a)² = 81

a + 1/a = ±9

but a > 0, so we ignore the negative solution.

Then

a ³ + 1/a ³ = 9³ - 3×9 = 702

Two numbers have a product of −24 and a difference of 11. What are the two numbers?

Answers

Answer:

-8 and 3, or -3 and 8

Step-by-step explanation:

xy = -24

x - y = 11

x = y + 11

y(y + 11) = -24

y^2 + 11x + 24 = 0

(y + 8)(y + 3) = 0

y = -8 or y = -3

x = 3 or x = 8

the numbers are -8 and 3, or -3 and 8

Can someone help me with this answer?

Answers

[tex](4.2 \times {10}^{5}) \times (3.2 \times {10}^{6}) = 15.54 \times {10}^{11} = 1.554 \times {10}^{12} [/tex]

I hope I helped you ^_^


Solve for both x and y in the parallelogram below.

Answers

Answer:

x is 14 and y is 13

Step-by-step explanation:

[tex]{ \sf{(4y - 5) = (3y + 8)}} \\ { \sf{y = 13}}[/tex]

[tex]{ \sf{(x + 12) = 2y}} \\ { \sf{x + 12 = 2(13)}} \\ { \sf{x + 12 = 26}} \\ { \sf{x = 14}}[/tex]

4y-5=3y+8( opposite sides of parallelogram are equal)

or, 4y-5-3y=8

or, 4y-3y=8+5

.•. y=13

now,

x+12=2y

x+12=2*13

x=26-12

.•. x=14

What is the value of y?
A. 55°
B. 850
C. 10°
D. 110°

Answers

I may not know I am sorry ma’am for your math problem is to hard

9x mũ 2 + 6x + 1 cho mình hỏi câu này ạ

Answers

Answer:

can you translate in english,would be better...

answer maybe wrong because of the language but stil....

9x(2+6x+1)

=9x(9x)

81x..


What are the solutions to the system of equations graphed below?

Answers

Answer:

The answer is B (4, 8) and (0, -8)

solve for x. Round to the nearesr tenth of a degree if necessary.

Answers

Answer:

im not sure but i got 30.1

Step-by-step explanation:

[tex] \cos(x) = \frac{45}{52} \\ x = 30.1[/tex]

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