40% of the sandwiches on a lunch platter are ham. If there are 8 ham sandwiches, how
many sandwiches are on the lunch platter in all?

Answer:

3) x = 50, vertical angles.

4) x = 20, supplementary angles

5) x = 14, complimentary angles

Step-by-step explanation:

vertical angles.

vertical angles are equal.

so, you can make this equation:

67 = x + 17

subtract 17 from both sides of the equation

67 - 17 = x + 17 - 17

67 - 17 = x

50 = x

supplementary angles

supplementary angles add up to 180

so, you can make this equation:

7x + 40 = 180

subtract 40 from both sides of the equation

7x + 40 - 40 = 180 - 40

7x = 180 - 40

7x = 140

divide both sides by 7

7x/7 = 140/7

x = 140/7

x = 20

complimentary angles

complimentary angles add up to 90

so, you can make this equation:

4x + 34 = 90

subtract 34 from both sides of the equation

4x + 34 - 34 = 90 - 34

4x = 90 - 34

4x = 56

divide both sides by 4

4x/4 = 56/4

x = 56/4

x = 14

Answer:

298000:100

x         : 103

cross multiply: 100x=298000 x 103

x=306,940 or 307,000

Step-by-step explanation:

Answer:

Welcome to Gboard clipboard, any text you copy will be saved here.

Answer:

y > (x - 50) * 210

Step-by-step explanation:

Given :

Number of dead trees = 50

Number of oranges produced by each of the remaining trees > 210

Let total number of trees = x ; total number of oranges produced = y

Hence, number of oranges produced, y

y > number of remaining trees * number of oranges produced per tree

y > (x - 50) * 210

Answer:

you have to "convert" the one to be set up the same as 3/10:

you subtract fractions, by having a common denominator and then subtracting the numerators.

10/10 -3/10 = 7/10

Step-by-step explanation:

i hope this helped :)

The measure of Angle D is the same as Angle B which is 63 degrees.

An angle requires two straight line/ line segments/rays, such that they're connected on one of their endpoints. The point of their joint is called the vertex of that angle. Those two line segments forming it are called arms of that angle. One arm is fixed, and one arm rotates around that vertex to make angles of different measurements. The fixed arm is called the initial arm. The moving arm is called the terminal arm.

The angle is the degree of rotation that it will take for the moving side to go from the initial side to the position it is currently on.

We are given that m∠B = 63°

Since the lines BC and AD are parallel to each other, they form the quadrilateral ABCD and parallelogram.

Therefore, according to the parallelogram properties,

the measure of Angle D is the same as Angle B which is 63 degrees.

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Answer:

65% of the beads were used to make the bracelet.

Step-by-step explanation:

40% of the beads were blue which means 60% of the beads were red. If all the blue beads were used that means 40% was used so you add the 25% of the red beads that were used which is why the answer is 65%.

Converting fractions, decimals, and percents

When we talk, we often use different words to express the same thing. For example, we could describe the same car as tiny or little or small. All of these words mean the car is not big. Fractions, decimals, and percents are like the words tiny, little, and small. They're all just different ways of expressing parts of a whole.

screenshot of 1/2

In this image, each measuring cup has the same amount of juice in it. But we've expressed this amount in three ways: as a fraction, as a percent, and as a decimal. Since they're expressing the same amount, we know that 1/2, 50%, and 0.5 are equal to each other. Any time we see 1/2, we'll know it can also mean 50% or 0.5.

Sometimes it's useful to convert one kind of number into another. For example, it's much easier to add 1/4 and 0.5 if you turn 0.5 into a fraction. Learning how to convert fractions, decimals, and percents will also help you as you learn more advanced math.

Fractions and decimals

Every fraction can also be written as a decimal, and vice versa. You may not do this very often, but converting decimals and fractions can help you in math. For example, it's easier to subtract 1/6 from 0.52 if you turn 1/6 into a decimal first.

Converting a fraction into a decimal

Let's convert a fraction into a decimal. We'll be using a math skill you've already learned: long division. To refresh your memory on this skill, you can review our Long Division lesson.

Step-by-step explanation:

Hope this is understood

Answer:

equation

Step-by-step explanation:

8

O -=

-x-11=1

3

-4

-x-7=1

3

x-7

7=1

o ex-7=1

x

-x-11=1

3

Answer:

The slope is 1/2

Step-by-step explanation:

To get the slope, we select any two points on the line and apply the slope formula

The points are;

(5,4) and (9,6)

The formula for the slope is;

m = (y2-y1)/(x2-x1)

m = (6-4)/(9-5) = 2/4 = 1/2

Answer:

It is the average of the two x values and average of both y values

Step-by-step explanation:

Answer:

I think it is the average of the two x values and the average of both y values

Step-by-step explanation:

Hope this helped have an amazing day/month/year!

Answer:

The equation of line in the form of Ax + By = C is: [tex]\mathbf{4x+y=-17}[/tex]

Step-by-step explanation:

We need to find the equation of line, having slope m = -4 and passes through point (-2,-9)

First we need to find slope and y-intercept of the line.

The slope is given i.e. m = -4

Now, we need to find the y-intercept

Using the point (-2,-9) and slope m = -4, y-intercept can be found using:

[tex]y=mx+b\\-9=-4(-2)+b\\-9=8+b\\b=-9-8\\b=-17[/tex]

Now, the equation of required line having slope m = -4 and y-intercept b = -17 is:

[tex]y=mx+b\\y=-4x-17[/tex]

Now writing in form of Ax + By = C

[tex]y=-4x-17\\4x+y=-17[/tex]

So, the equation of line in the form of Ax + By = C is: [tex]\mathbf{4x+y=-17}[/tex].

Answer:

C) N=3

Step-by-step explanation:

So an undefined problem can be represented as being divided by 0

So if the denominator is 0, it Would be undefined becuase after all every fraction is a division problem and you can‘t divide by 0

Test every possible option for n in the denominator becuase we don’t need to focus on the numerator due to only finding the denominator to be 0. The imperator doesn’t effect anything if the denominator is 0, it would only effect if the denominator is anything else which leads me to that the numerator COULD be 0 but not the denominator.

So in this case n=3 is a possibl solution becuase if solved using Orders of operations (Parethesis, exponents, etc.)

3(3-3)^2

3*0^2

0^2=0

0*3=0

So the denominator is 0 so c has to be the answer

n=3

Answer:

The answer is 2 to the power of 9

Step-by-step explanation:

I got it right on ap,ex

Answer:

45 cm

Step-by-step explanation:

l = Length of football field is 120 yards

w = Width of football field is 80 yards

The ratio of the sides is [tex]\dfrac{l}{w}=\dfrac{120}{80}=\dfrac{3}{2}[/tex]

Now the width of the field is 30 cm = w'

[tex]\dfrac{l'}{w'}=\dfrac{l}{w}\\\Rightarrow l'=\dfrac{l}{w}\times w'\\\Rightarrow l'=\dfrac{3}{2}\times 30\\\Rightarrow l'=45\ \text{cm}[/tex]

The length of the field in the drawing is 45 cm.

Answer:

x = 32

Step-by-step explanation:

∠BCA = ∠DBA (90 - ∠DBC)

∠A = ∠A

ΔABD similar to ΔACB

AC/AB = AB/AD

x / 8 = 8 / 2

x = 32

The length of AC if The right triangle ABC with altitude BD drawn to hypotenuse AC, AB = 8 and AD = 2, is 32.

Three straight lines coming together create a triangle. There are three sides and three corners on every triangle (angles). A triangle's vertex is the intersection of two of its sides. Any one of a triangle's three sides can serve as its base, however typically the bottom side is used.

Given:

The right triangle ABC with altitude BD drawn to hypotenuse AC,

AB = 8 and AD = 2,

Check if the triangle Δ ABD similar to Δ ACB

∠ BCA = ∠ DBA (90 - ∠ DBC)

∠ A = ∠ A

Thus, Δ ABD is similar to Δ ACB by AAS similarity,

Calculate the length of AC by using the similarity property,

AC/AB = AB/AD

x / 8 = 8 / 2

x = 32

Thus, the value of AC is 32.

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Answer:

x=91, y=91, z=39

Step-by-step explanation:

the angles add up to 180 so find the difference ex. 51+38=89, 180-89=91 so x is 91

Answer:

conversion factor

Step-by-step explanation:

that is what I found on the internet

hope it helps :)

Answer:

The original answer is 26. But if rounded the answer is 30

Step-by-step explanation:

26 is four away from 30

26 is 6 away from 20

Answer:

what is the equation ? lmk

Question:

A charter bus travels 225 miles in  4.5 hours. Assume the  distance travelled is directly  proportional to the time spent.

Write a direct variation equation.

Answer:

[tex]y = 50x[/tex]

Step-by-step explanation:

Let:

y =  distance

x = time

So:

[tex]y = 225[/tex]  and [tex]x = 4.5[/tex]

Since, they are directly proportional: The following relationship exists

[tex]y = kx[/tex]

Where

k = constant of variation

Substitute values for y and x

[tex]225 = 4.5 * k[/tex]

Make x the subject

[tex]k = \frac{225}{4.5}[/tex]

[tex]k = 50[/tex]

Substitute 50 for k in [tex]y = kx[/tex]

[tex]y = 50x[/tex]

Answer:

5545

Step-by-step explanation:

Answer:

Correct answer is 120

Answer:

103

Step-by-step explanation:

108+85+94+103+112+115+98+119+126+105+82+89=1236

1236/12=103

Answer:

103

Step-by-step explanation:

This is the answer because:

1)  The mean of a set of numbers is the sum divided by the number of terms:

108 + 85 + 94 + 103 + 112 + 115 + 98 + 119 + 126 + 105 + 82 + 89 = 1236

There are 12 numbers, so divide 1236 with 12:

1236 ÷ 12 = 103

Therefore, the answer is 103.

Hope this helps! :D

Answer:y= -3x+7

Step-by-step explanation:

6x+2y=14

2y= -6x+14

y= ( -6x+14)/2

y= -3x+7

Step-by-step explanation:

done

.....................

Consider we need to find the first five terms of the given AP and the explicit formula.

Given:

[tex]a_n=a_{n-1}-3[/tex] when [tex]a_1=5[/tex]

To find:

First five terms of the given AP and the explicit formula.

Solution:

We have,

[tex]a_n=a_{n-1}-3[/tex]       ...(i)

[tex]a_1=5[/tex], it means first term is 5.

Putting n=2 in (i), we get

[tex]a_2=a_{2-1}-3[/tex]

[tex]a_2=a_{1}-3[/tex]

[tex]a_2=5-3[/tex]

[tex]a_2=2[/tex]

Second term is 2. So, common difference is

[tex]d=a_2-a_1[/tex]

[tex]d=2-5[/tex]

[tex]d=-3[/tex]

First terms is 5 and common difference is -3. So, the first five terms of the AP are 5, 2, -1, -4, -7.

The explicit formula of an AP is

[tex]a_n=a_1+(n-1)d[/tex]

[tex]a_n=5+(n-1)(-3)[/tex]

[tex]a_n=5-3n+3[/tex]

[tex]a_n=8-3n[/tex]

Therefore, the explicit formula of AP is [tex]a_n=8-3n[/tex].

Answer:

the answer is 4.