The sum of two numbers is 88. If one number is 4 more than half the other number, determine the two numbers by setting up a linear equation.

a: 44
b: 56
c: 61.3
d: 126
e: 138
f: 176

Answers

Answer 1

Answer:

b: 56

Step-by-step explanation:

x + y = 88

x is 4 more than half the other number.

half of y is 1/2y

4 more than that is 1/2y + 4

substitute

1/2y + 4 + y = 88

solve for y

3/2y = 84

y = 168 / 3 = 56

solve for x

x = 88 - 56 = 32

not sure where you would answer 32 from what's given :)


Related Questions

the sum of a number and three is forty-one find the number

Answers

Answer:

38

Step-by-step explanation:

38+3=41

thats the answer

brainliest please

Create an equivalent expression for 9−7 • 95.

−9^2
one over nine raised to the second power
one over nine raised to the power of negative two
9^2

Answers

The equivalent expression of 9^-7 * 9^5 is 1/9^2

How to create an equivalent expression?

The expression is given as

9^-7 * 9^5

Apply the law of indices.

So, we have

9^-7 * 9^5 = 9^(-7 + 5)

Evaluate the sum

9^-7 * 9^5 = 9^-2

Rewrite as

9^-7 * 9^5 = 1/9^2

Hence, the equivalent expression of 9^-7 * 9^5 is 1/9^2

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Find the Domin and range f(x) =-2(x+3)2 -5

Answers

Domain and range of [f(x) =-2(x+3)2 -5] are as follows: x in RR, y in [-∞, -5].

What in mathematics are domain and range?

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f are contained in this collection (x). A function's range is the range of values that it can accept as input. The function produces this list of values once we enter an x value.

according to given information;

This is a polynomial of degree 2, "domain is x in RR," and "to determine the range, we require the vertex and if maximum" or "minimum turning point," the equation of the polynomial's vertex and range."" a parabola in "color(blue)"vertex form" is.

•(x)y=a(x-h)²+k

"where "(h,k)" are the coordinates of the vertex and a"

"is a multiplier"

f(x)=-2(x+3)²-5" is in this form"

"with "(h,k)=(-3,-5)" and "a=-2

"since " a <0" then maximum turning point"

"range is "y in(-oo,-5]

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What is 333 divided by 666

Answers

Answer:

333 ÷ 666 = 0.5

Step-by-step explanation:

Hope it helps!!! :)

Answer: 0.5

Step-by-step explanation:

K
2
Create a proportion to solve for x.
16
22
11
A pease help please mb

Answers

Im not sure but thanks for the points (:

I need help to answer this question please 3(4x−1)=21

Answers

3(4x-1)=21 3x4x is 12x 3x1=3 so the answer is 12x- 3=21

Answer: x=1.75

Step-by-step explanation:

Multiply: 12x-3=21

Subtract: 12x=21

Divide: 21/12= 1.75

Final Answer: X = 1.75

Find the Distance between the two points . (2,5) and (-4,7).

Answers

Answer:

6.32

Step-by-step explanation:

They gave you everything you need in the question - just plug the x and y values in where they showed you. (2, 5) is your (x1, y1) and (-4, 7) is your (x2, y2)

uijuguiobhj,mn,mgvplsssss

Answers

Step-by-step explanation:

adding 93 to itself 6 times

dividing 558 by 6

Answer:

3

Step-by-step explanation:

Pls help!!
Write and solve the problem. Type your answer into the answer box. -2 2/3 + 1 4/5

Answers

Answer: If i did it right it should be -0.866

Step-by-step explanation:

Find the perimeter or circumference and area of each figure if each unit on the
graph measures 1 centimeter. Round answers to the nearest tenth, if necessary.

Answers

The perimeter or circumference and area of each figure if each unit on the graph measures 1 centimeter is 18.

The area of a circle is π[tex]r^2[/tex]

The area of a triangle is 1/2×base×height

The area of the rectangle is length×breadth

The perimeter of a circle is 2πr

so, Area of Triangle =1/2×b×h

1/2×4×9=18

A rectangle is a quadrilateral with all angles equal and opposing sides equal and parallel. There are numerous rectangular items all around us. Each rectangle shape has two dimensions: length and breadth. The length of the rectangle is known as the length, while the width is known as the width.

A rectangle is a closed two-dimensional shape with four sides. A rectangle's opposite sides are equal and parallel, and all of its angles are 90°. Examine the rectangle below to observe its form, sides, and angles.

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Given m \| nm∥n, find the value of x.
m
n
t
(x+5)°
(x-13)°

Answers

Answer:

5

Step-by-step explanation:

564 is divided by 3 = 4

Which point is an x-intercept of the quadratic function f(x) = (x + 6)(x – 3)?

(0,6)
(0,–6)
(6,0)
(–6,0)

Answers

Answer:

( -6 , 0 )

Step-by-step explanation:

the other one would be ( 3 , 0 ) but hope this helps !!

(7 x 10^7) divide (2 x 10^5)

Answers

Answer:350

Step-by-step explanation:

(7 x 10^7)/(2 x 10^5)=350

70000000/200000=350

Plot the inequality on the number line.

x≤1 or x>8

Answers

The attached graph represents the graph of the inequality x ≤ 1 or x > 8

What are inequality expressions?

Inequality expressions are mathematical statements that are represented by variables, coefficients and operators where the opposite sides are not equal

How to plot the inequality on the number line?

The inequality expression is given as

x ≤ 1 or x > 8

When an inequality is represented with < or >, then we make use of the open circle to represent the inequality.

Otherwise, we make use of the closed circle to represent the inequality.

Using the above as a guide, we have the following representations:

x ≤ 1 -> Closed circle

x > 8 -> Open circle

See attachment for the graph of the inequality

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Parallelogram+RSTU+is+rotated+180°+clockwise+about+the+origin.+How+many+pairs+of+parallel+sides+ Does the rotated figure have

Answers

RSTU ≅ R'S'T'U' and R'S'T'U' is also a parallelogram with two pairs of parallel sides.

Given that, parallelogram RSTU is rotated 180° clockwise about the origin.

We need to find how many pairs of parallel sides the rotated figure has.

What is the rotation of 180°?

Rotation of a point through 180°, about the origin when a point M (h, k) is rotated about the origin O through 180° in an anticlockwise or clockwise direction, it takes the new position M' (-h, -k).

The given transformation was performed on parallelogram RSTU = 180° clockwise rotation.

Given that a rotation is a form of rigid transformation, the shape and size of the preimage RSTU will be equal to the shape and size of the image R'S'T'U'.

Therefore, RSTU ≅ R'S'T'U' and R'S'T'U' is also a parallelogram with two pairs of parallel sides.

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Your question is incomplete, probably the complete question/missing part is:

Parallelogram RSTU is rotated 180° clockwise about the origin. How many pairs of parallel sides does the rotated figure have?

The graph of the function f(x) = (x + 2)(x + 6) is shown below.

On a coordinate plane, a parabola opens up. It goes through (negative 6, 0), has a vertex at (negative 4, negative 4), and goes through (negative 2, 0).

Which statement about the function is true?

The function is positive for all real values of x where
x > –4.
The function is negative for all real values of x where
–6 < x < –2.
The function is positive for all real values of x where
x < –6 or x > –3.
The function is negative for all real values of x where
x < –2.

Answers

The correct statement regarding the graph of the function f(x) = (x + 2)(x + 6) is given by:

The function is negative for all real values of x where -6 < x < -2.

What is the missing information?

The graph of the function f(x) = (x + 2)(x + 6) is missing, and is given at the end of the answer.

When a function is positive and when it is negative?

We have to look at the graph of the function relative to the x-axis, as follows:

A function is positive when it is above the x-axis.A function is negative when it is below the x-axis.

Hence, for function f(x) = (x + 2)(x + 6), we have that:

It is positive for x < -6 and x > -2.It is negative for -6 < x < -2.

Hence the correct statement for the signal of the function is given as follows:

The function is negative for all real values of x where -6 < x < -2.

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Help please I don’t get it

Answers

Answer:

Step-by-step explanation:

-5 - 9x = 3-9x-8  (Used distributive property)

-5 - 9x = -9x-5  (-8+3 = -5)

- 9x = -9x  (Add 5 to both sides)

0 = 0 (Add 9x to both sides)

What are the coordinates of the y intercept of the function y=|3x-10|+1

Answers

Answer: (0,11)

Step-by-step explanation:

The y-intercept is when x is equal to 0, so we can just plug that into get the y-coordinate.

y = |3x - 10| + 1

y = |-10| + 1

y = 10 + 1

y = 11

As an introduction to probability, a student is asked to roll
a fair, six-sided number cube seven times. The results of
those seven rolls are shown below.
1, 4, 4, 4, 4, 6, 5
What is the range of the data?
01
1.53
4
5

Answers

Answer:

Step-by-step explanation:

Based on the calculations, the IQR of this data is equal to 2.

How to determine the IQR of this data?

IQR is an acronym for interquartile range and it is a measure of the middle 50% of data values when they are ordered from lowest to highest.

Next, we would order the data from lowest to highest and then determine the median as follows:

Data = {1, 4, 4,} 4, {4, 6, 5}

Median = 4.

For Q₁ of the lower half of the data, we have:

Lower half = {1, 4, 4,}

Q₁ = 4.

For Q₃ of the upper half of the data, we have:

Upper half = {4, 6, 5}

Q₃ = 6.

Mathematically, IQR is the difference between quartile 1 (Q₁) and quartile 3 (Q₃):

IQR = Q₃ - Q₁

IQR = 6 - 4

IQR = 2.

Answer by

Lanuel

The results of those seven rolls that are shown shows that the range is 5.

What is range?

The range is the size of the smallest interval which contains all the data and provides an indication of statistical dispersion. It is measured in the same units as the data.

Given that a six-sided die is rolled 7 times, to give 1, 4, 4, 4, 4, 6, 5, we need to find the range,

The numbers that are gotten include:

1, 4, 4, 4, 4, 6, 5.

It should be noted that range is calculated as:

R = Highest value - Lowest value

R = 6 - 1

R= 5

Therefore, the range from the numbers given is 5.

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what is the measure of angle COW?

Answers

Answer: c: 52

Step-by-step explanation:

the angles are congruent as shown by the hashmarks in the arks so you just need to double it

Answer:

c. 52°

Step-by-step explanation:

Since part of the angle is given (26°) and both parts of the angle are equal. 26° + 26° = 52°

Which linear equation shows a proportional relationship?

y equals negative 2 times x minus one third
y equals one third times x minus 1
y equals five sixths times x
y equals 5 times x plus 3

Answers

The proportional relation is the third one.

y = (5/6)*x

Which linear equation shows a proportional relationship?

A general linear equation in the point-slope form is written as:

y = a*x + b

Where the a is the slope, and b is the y-intercept.

Particularly, a proportional relation is a linear equation where the y-intercept is equal to zero

y = a*x

And in this case, the slope is also called a constant of proportionality.

Then from the given options, the one that is a proportional relation is:

y = (5/6)*x

Which is the third option, counting from the top.

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how to sketch a plot of the line x=−1 .

Answers

Answer:

See explanation

Step-by-step explanation:

10. You're conducting a vertical jump test on your athletes. This individual just broke the school record
(woohoo!) and achieved a height of 40 inches (1.016m). Calculate their 1) initial velocity and 2) flight time.
1.016m

Answers

The jump of the athlete to 40 inches, (1.016 m) is obtained using an initial velocity and time calculated as follows;

1) The initial velocity of the athlete is approximately 4.475 m/s

2) The time of flight which is the time to reach 40 inches and back is approximately 0.91 seconds

Which equation can be used to calculate the velocity and time of the motion?

The height achieved by the athlete, h = 40 inches

40 inches = 1.016 m

Required;

1) The initial velocity

Solution;

From the kinematic equation of motion, for a free fall, we have;

v² = u² - 2•g•h

Where;

v = The velocity at the final point = 0 (The athlete stops upward motion at the 1.016 m height and starts downward motion

u = The initial velocity

g = Acceleration due to gravity ≈ 9.81 m/s²

h = The height = 1.016 m

Which gives;

0² = u² - 2 × 9.81 × 1.016

u² = 2 × 9.81 × 1.016 ≈ 19.93392

u = √(19.93392) ≈ 4.465

The initial velocity of the athlete, u, is approximately 4.465 m/s

2) The flight time;

The flight time can be found using the equation;

v = u - g•t

Which gives;

t = (u - v)/g

Where;

t = The time taken to reach maximum height.

Therefore;

t ≈ (4.465 - 0)/9.81 ≈ 0.455

The time taken to reach the record height is the same as the time to land back on the ground, which gives;

Time of flight = t + t = 2•t

The time of flight ≈ 2 × 0.445 ≈ 0.910

The time of flight is approximately 0.91 seconds.

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Please explain what are integers?

Answers

An integer is the number zero, a positive natural number or a negative integer with a minus sign.

Answer:

: integers

1.

a number which is not a fraction; a whole number.

How do I simplify this?

Answers

Answer:

Hello,

Step-by-step explanation:

[tex]\dfrac{1}{\sqrt{1} +\sqrt{2} } =\dfrac{\sqrt{2} -\sqrt{1}}{(\sqrt{2} +\sqrt{1})*(\sqrt{2} -\sqrt{1}) } =\dfrac{\sqrt{2} -1}{2-1} =\sqrt{2} -1\\\\\dfrac{1}{\sqrt{2} +\sqrt{3} } =\dfrac{\sqrt{3} -\sqrt{2}}{(\sqrt{3} +\sqrt{2})*(\sqrt{3} -\sqrt{2}) } =\dfrac{\sqrt{3} -\sqrt{2}}{3-2} =\sqrt{3} -\sqrt{2}\\\\\\\dfrac{1}{\sqrt{n-1} +\sqrt{n} } =\dfrac{\sqrt{n} -\sqrt{n-1}}{(\sqrt{n} +\sqrt{n-1})*(\sqrt{n} -\sqrt{n-1}) }=\sqrt{n} -\sqrt{n-1}\\\\[/tex]

[tex]\\\dfrac{1}{\sqrt{1} +\sqrt{2} } +\dfrac{1}{\sqrt{2} +\sqrt{3} } +...+\dfrac{1}{\sqrt{n-1} +\sqrt{n} } =\boxed{\sqrt{n} -1}\\[/tex]

a company sold yogurt in 120 g pots and one-eight of the content of the pots was chopped fruit, it is then decided to make the pots of yogurt 2/3 of their original weight with 1/5 fruit. will the company use more or less fruit per new design?

Answers

Answer:

More fruit for the new design.

Step-by-step explanation:

120 times 2/3 is 80.

1/5 of 80 is 16.

1/8 of 120 is 15.

15 < 16, so the second design has more fruit.

Please help me, I need it right now

Answers

Answer:

Step-by-step explanation:

instead x in f(x) we put g(x) in it.

f(g(x))= 3(7x-3)+1

=21x - 9 +1= 21x -8

solve for v -4v=-24 simplify your answer as much as possible


this is Multiplicative property of equality with integers

Answers

Answer:

v = 6

Step-by-step explanation:

Given equation:

-4v = - 24

Divide both sides by - 4:

-4v / - 4 = - 24 / -4v = 6

Answer:

The value of v is 6.

Step-by-step explanation:

Solving for the value of v,

→ -4v = -24

→ v = (-24)/(-4)

→ v = 24/4

→ [ v = 6 ]

Hence, the value of v is 6.

The number ends in the hundredths place.
2 is the nearest one when rounding

Answers

When the number ends in the hundredths place and 2 is the nearest one when rounding, the number is 4.26.

How to illustrate the information?

It should be noted that from the information, the number ends in the hundredths place and 2 is the nearest one when rounding.

Therefore, the number will be:

4.26

Therefore, when the number ends in the hundredths place and 2 is the nearest one when rounding, the number is 4.26

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Drag the numbers to match the rule

The number ends in the hundredths place.

2 is the nearest one when rounding

4,2, 6, decimal (.).

Use the GCF and the Distributive Property to find the sum of 38 + 57

Answers

Answer:

  95

Step-by-step explanation:

You want the sum of 38 and 57 by making use of the GCF and the distributive property.

GCF

The GCF of two numbers can be found by looking at their difference (or their remainder when one divides the other). Here, that is ...

  57 -38 = 19

This value is a factor of both numbers, so is their GCF.

Distributive property

The distributive property tells us how to express the sum with the GCF factored out:

  38 +57 = 19(2 +3)

Then the sum is ...

  19(2 +3) = 19(5) = 95

The sum is 95.

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