What Is The Value Of A In The Equation: A+23=38 And Why?A.] 61, Because To Isolate A, You Would Add 23 (2024)

How is the word term used to describe a ratio relationship and in the context of an expression? Choose the correct answer below.

O A. The terms of a ratio are the quantities being compared. The terms in an expression are the parts that are separated by plus or minus signs.

OB. The term of a ratio is the sum of the quantities being compared. The terms in an expression are the parts that are separated by plus or minus signs.

OC. The terms of a ratio are the quantities being compared. The terms in an expression are the parts that are separated by multiplication or division signs. ( CORRECT)

OD. The term of a ratio is the sum of the quantities being compared. The terms in an expression are the parts that are separated by multiplication or division signs.

ANSWER

[tex]\text{3 }\cdot10^4[/tex]

EXPLANATION

We want to express the number as a single-digit integer times a power of 10.

This means that we want to express the number in scientific notation.

The number is 30,000.

We know that the decimal point in 30,000 is located behind the last 0, that is:

30,000.

We will now move that decimal point so that it is at the back of the very first integer which is 3.

The number of times that the decimal point is moved will be the power of 10.

The decimal point is moved 4 times, so it becomes:

[tex]30,000\text{ = 3 }\cdot10^4[/tex]

That is the answer.

Answer: f(x) = 2x - 12

Step-by-step explanation:

Recall that if two right angles have a leg and an angle congruent both triangles are congruent by the Leg-Angle criterion.

Answer: Option C.

21 tacos at least (x ≥ 20.8)

1) Gathering the data

Taco $3.75 (x)

Burrito $6 (y)

x +y ≥ $330 sales per day

2) Since it's been given the number of burritos that's been sold, let's plug into the first inequality, considering y is for burritos:

3.75x +6(42)≥ 330 sales up to a certain moment

3.75x +252 ≥ 330 Subtract 252 from both sides

3.75x ≥ 78 Divide both sides by 3.75

x ≥ 20.8

3) So to beat the daily goal, and considering that no one buys a fraction of a taco then Julia must sell at least 21 tacos for that day and achieve the goal of selling no less than $330 in tacos and burritos.

we have the following:

[tex]c=90+60\cdot h[/tex]

the domain corresponds to input the input values, that is, the number of hours, therefore, it would be an open interval from 0 to 10 closed:

[tex](0,10\rbrack[/tex]

If the function f is shifted 2 units down, then, the new function g is:

g(x) = f(x) - 2

Then, for the table for g(x) in the given interval, you obtain:

where you have subtracted 2 units to the values of f(x).

ANSWER

Situation J cannot be represented by the equation

EXPLANATION

It is said in situation J that there are 10 adults in the group and there are 45 students also. This question asks for 'x' that's the total number of students and adults in the group. This equation should be:

[tex]x=10+45[/tex]

Which, if we rewrite it to keep 45 on one side of the equaition and the rest on the other side is:

Answer:

The slope of the line joining (3.9, P(3.9)) and (4.1, P(4.1)). Option D is correct.

Explanations:

Instantaneous rate of change is the measure of slope of a curve at a given instant.

From the given diagram, we can see that there is a line drawn tangential to the curve. The x-axis (time) for the slope of the curve must lie within the range of the tangential line.

Sine the range of time for the tangential line is between around t = 3 and t = 5, hence the x-axis for the slope must lie within this range.

From the given option, the only coordinate points that lie within the range is (3.9, P(3.9)) and (4.1, P(4.1))

Answer:

f(x)=0.5x-9

Explanation:

If we stretch f(x) by a factor of n, we have the following:

[tex]y=f(\frac{1}{n}x)[/tex]

Therefore, stretching f(x) = 3x – 9 horizontally by a factor of 6 gives:

[tex]\begin{gathered} f(x)=3(\frac{1}{6})x-9 \\ f(x)=0.5x-9 \end{gathered}[/tex]

Data:

Score: 95

Sustracted: 20%

You take the scre 95 as the 100%, then you use a rule of three to know how much Ms. Crysel substracted:

As the 20% is 19, the final score is: 76[tex]95-19=76[/tex]

A counterclockwise rotation changes the coordinate of a point as,

(x,y)-->(-y, x).

So, the x coordinate becomes negative of y coordinate and the y coordinate becomes x after transformation.

Let (x,y) be the coordinates of B. Initially the vertex B is in first quadrant with positive coordinates (x,y).

The transformation will give a negative value for the new x coordinate of B only in the first transformation

Hence, the first figure is the answer.

We want to know the height of a candle after 16 hours.

We know that the height is a linear function of the amount of time (in hours) it has been burning. This means that we can write it as:

[tex]f(x)[/tex]

where x represents the number of hours burning.

Also, we have that after 10 hours of burning, the candle has a height of 17 centimeters, which means that we can write it as a point of the function:

And after 23 hours of burning its height is 11.8 centimeters, so we can write the second point of the function will be:

[tex](23,11.8)[/tex]

We will find the linear function that describes the height. Using the two points, we will find the slope and the y-intercept.

The slope is given by:

[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{11.8-17}{23-10}=\frac{-5.2}{13}=-0.4[/tex]

And for the y-intercept, we replace a point on the slope-intercept form, and we clear out the y-intercept.

[tex]\begin{gathered} y=mx+b \\ 17=-0.4(10)+b \\ 17=-4+b \\ 17+4=b \\ 21=b \end{gathered}[/tex]

This means that the y-intercept is 21, and the linear function that describes the height is given by:

[tex]y=-0.4x+21[/tex]

For finding the height of the candle after 16 hours, we replace x by 16, and we obtain:

[tex]\begin{gathered} y=-0.4(16)+21 \\ =-6.4+21 \\ =14.6 \end{gathered}[/tex]

This means that the height of the candle after 16 hours is 14.6 centimeters.

Given:

Diameter of a circle is 4cm

Required:

To find the area and circumference of a given circle.

Explanation:

Given that the diameter is 4cm.

Therefore, the radius of the circle is

[tex]\begin{gathered} r=\frac{4}{2} \\ =2cm \end{gathered}[/tex]

The formula for area of a circle is,

[tex]A=\pi r^2[/tex]

Substitute the value of r, we get

[tex]\begin{gathered} A=\pi2^2 \\ =4\pi \end{gathered}[/tex]

The formula for circumference of a circle is,

[tex]\begin{gathered} C=2\pi r \\ =2\times\pi\times2 \\ =4\pi \end{gathered}[/tex]

Final Answer:

Area of a circle,

[tex]A=4\pi[/tex]

Circumference is

[tex]C=4\pi[/tex]

We are told that we want to compare numbers 2.5 and 2.05. That is, we want to check if they are equal, or if any of them is greater than the other. We can easily see that there is a 0 on the number on the right, so they cannot be equal. This means that either the one onf the left is greater or the one on the right. Note that before the decimal point, both of them have 2 units. Then, after the decimal point, the one of the left has the digit 5 and the second one has the digit 0. As 5 is greater than 0, we have that 2.5 is greater than 2.05. So we get that

[tex]2.5>2.05[/tex]

As these two numbers are not equal, we could also write

[tex]2.5\ne2.05[/tex]

As a recap, these are the meaning of each symbol.

The symbol > means "greater than". This symbol expresses that whatever is on the left side of the symbol is greater than whatever is on the right side of the symbol.

The symbol < means "less than" . This symbol expresses that whatever is on the left side of the symbol is less than whatever is on the right side of the symbol.

The sign = means that both quantities that are on each side are equal.

The symbols

[tex]\ge,\leq[/tex]

mean "greater or equal" and "less than or equal" , which are a mix of greater than/less than and equality sign. So, for example, "greater than or equal to" means that either the one on the left is greater than the one on the right or is equal.

Finally, the sign

[tex]\ne[/tex]

means "not equal"

SOLUTION:

Step-by-step explanation:

Step 1 :

Well a right square prism's bases are squares meaning the area of the base is 64 units².

Meaning 128 "which is the sum of 64+64" needs to be taken out of the SA to find the LSA.

Step 2 :

Now we only have 4 sides to find the area of,

h = 12

l/w = 8

A = (12*8) * 4

A = 96 * 4

LSA = 384 units²

Given:

sales tax is 48 and puurchase cost is 1200.

Let x be the sales tax rate.

[tex]48=1200\times\frac{x}{100}[/tex][tex]48=12\times x[/tex][tex]\frac{48}{12}=x[/tex][tex]x=4[/tex]

Therefore, the sales tax rate is 4%.

Given:

[tex]x*y=3xy-2[/tex]

Required:

Find 3*5

Explanation:

Given that

[tex]x*y=3xy-2[/tex][tex]\begin{gathered} 3*5=3(3)(5)-2 \\ 3*5=45-2 \\ 3*5=43 \end{gathered}[/tex]

Final Answer:

[tex]3*5=43[/tex]

Daniel, this is the solution to the problem:

Let's calculate the confidence interval for a sample of 80, as follows:

Z = 1.96 for 95% confidence, therefore:

C.I = (0.5 +/- 1.96 √(0.5 (1 - 0.5)/80)

C.I = 0.5 +/- 0.11

C. I = (0.39, 0.61)

Now, let's do the same calculations for a sample size of 50, this way:

C.I. = (0.5 +/- 1.96 √0.5 (1 - 0.5)/50)

C.I = 0.5 +/- 0.139

C.I = (0.361, 0.639)

Therefore, for a sample size of 80, the wide is 0.22 (0.61 -0.39) and for a sample size of 50, the wide is 0.278 (0.639 - 0.361)

For sample sizes of 60 and 70, the results would be higher than 0.22 but lower than 0.278.

The correct answer is D. 50

We will ahve that it would have to be rotated in the horizontal line of symmetry, that is where the radius would be 2:

[tex]V=\pi(2)^2(8)\Rightarrow V=32\pi[/tex]

Answer: 75582 different committees

Explanation

Given

• Committee: 11 students

,

• Member student council: 19 students

Procedure

As the order of choosing is not important, then we can use combinations:

[tex]_nC_r=\frac{n!}{(n-r)!r!}[/tex]

where n is the number of items in a set and r is the number of items selected from the set. Applying the formula to our problem:

• n = ,19

,

• r = 11

Thus, replacing these values and simplifying:

[tex]_{19}C_{11}=\frac{19!}{(19-11)!11!}[/tex][tex]_{19}C_{11}=\frac{19!}{(8)!11!}[/tex][tex]_{19}C_{11}=\frac{19!}{8!\cdot11!}[/tex][tex]_{19}C_{11}=75582[/tex]

You have to devide size by cost, of all your options

for the first case..

[tex]value=\frac{1.69\text{ \$}}{10\text{ oz}}=\text{ 0.169 }[/tex]

For the second

[tex]\text{value = }\frac{3.19\text{ \$}}{16\text{ oz}}\text{ = 0.199}[/tex]

and thrird

[tex]\text{value = }\frac{5.79\text{ \$}}{32\text{ oz}}=0.181[/tex]

you can solve the division for all of them and get te value for 1 oz of jelly, and we choose the lower one..

the answer is the first one case,

From this question, the original function (graph) will move 5 units to the left and 3 units down:

In the graph below, we will see the image of the original function (in red) and the new function (in blue)

The correct answer is the third option.

We have:

[tex]\begin{gathered} x+y=10.5 \\ x-3.25=y \end{gathered}[/tex]

Then:

[tex]\begin{gathered} x+(x-3.25)=10.5 \\ 2x-3.25=10.5 \\ 2x=10.5+3.25 \\ 2x=13.75 \\ x=\frac{13.75}{2} \\ x=6.875 \end{gathered}[/tex][tex]y=x-3.25=6.875-3.25=3.625[/tex]

The numbers are 6.875 and 3.625.

The percentage of the department faculty that have 25 or more years of service = 48%

What is histogram?

Histogram is defined as the statistical representation of data in a uniform range. From the given diagram, the department faculty in years of service is plotted against the number of faculty.

The department faculty have 25 or more years of service;

= 7+ 11 + 6

= 24

The total number of classes in the department faculty= 7+6+5 +3+5 + 7+ 11 + 6 = 50

Therefore the percentage of the department that have 25 years and above of years of service;

= 24/50 × 100/1

= 2400/50

= 48%

Learn more about percentage here:

https:/brainly.com/question/24304697

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ΔABC and ΔADE are similar, then

[tex]\frac{AB}{AD}=\frac{BC}{DE}[/tex]

Replacing with data and solving for x,

[tex]\begin{gathered} \frac{4}{7}=\frac{2}{x} \\ 4\cdot x=7\cdot2 \\ x=\frac{14}{4} \\ x=3.5 \end{gathered}[/tex]

Answer:

x = -2

y = 3

Explanation:

We are given that:

[tex]\begin{gathered} 4x-2y=-14-----1 \\ -x+2y=8------2 \end{gathered}[/tex]

We will proceed to solve this system of equations as shown below:

[tex]\begin{gathered} 4x-2y=-14-----1 \\ -x+2y=8------2 \\ \text{We will proceed to sum both equations 1 \& 2, we have:} \\ 4x-x=-14+8 \\ 3x=-6 \\ \text{Divide both sides by ''3'', we have:} \\ x=-\frac{6}{3} \\ x=-2 \\ \text{Substitute the value of ''x'' into equation 2, we have:} \\ -(-2)+2y=8 \\ 2+2y=8 \\ \text{Subtract ''2'' from both sides, we have:} \\ 2y=8-2 \\ 2y=6 \\ \text{Divide both sides by ''2'', we have:} \\ y=\frac{6}{2} \\ y=3 \\ \\ \therefore x=-2,y=3 \end{gathered}[/tex]

x = -2, y = 3

Answer:

113

Explanation:

Given the below;

[tex]-38+6+27+(-8)+126​[/tex]

Using PEMDAS, we'll need to, first of all, clear the parentheses as shown below;

[tex]-38+6+27-8+126[/tex]

So let's go ahead and add from left to right;

[tex]-32+27-8+126=-5-8+126=-13+126=113[/tex]

We are given the equation:

[tex]n+2=\sqrt[]{-16-5n}[/tex]

Squaring both sides:

[tex](n+2)^2=-16-5n[/tex]

Expanding the square:

[tex]n^2+4n+4=-16-5n[/tex]

Moving all terms to the left side:

[tex]\begin{gathered} n^2+4n+4+16+5n=0 \\ \text{Simplifying:} \\ n^2+9n+20=0 \end{gathered}[/tex]

Factoring:

[tex](n+4)(n+5)=0[/tex]

This gives two possible solutions: n = -4 and n = -5.

Some equations, like the ones that have square roots, can produce extraneous solutions that satisfy the last equation, but not the original equation.

So we test both solutions in the original equation:

[tex]\begin{gathered} -4+2=\sqrt[]{-16-5(-4)} \\ \text{Operating:} \\ -2=\sqrt[]{-16+20} \\ -2=2 \end{gathered}[/tex]

This is a false solution because the equation is false.

If we substitute the value x = -5, we get -3 = 3.

It's clear that none of the solutions is true, thus the answer is:

0 solutions

or

NO solutions

step 1

Find the thickness of the cheese

so

we know that

the surface area is the area of its two triangular faces plues the area of its three rectangular faces

so

Find the hypotenuse of the isosceles triangle

c^2=5^2+12^2

c^2=25+144

c^2=169

c=13

therefore

SA=2[(1/2)(10(12)]+2[(13)(h)]+10(h)

where

h is the thicknees

SA=384

substitute

384=2[(1/2)(10(12)]+2[(13)(h)]+10(h)

384=120+26h+10h

36h=384-120

36h=264

h=7.33 cm

so

statement A is false

step 2

Find the surface area of the front face

Find the area of the triangular isosceles face

so

A=(1/2)(10(12)

A=60 cm^2

so

statement B is false

step 3

the area of the front face is equal to the area of the back face

so

statement C is false

step 4

The area of the side faces and base is equal to

384-60=324 cm^2

statement D is false

step 5

the longer edhe of each triangular prism side is 13

the statement is true (see step 1)

answer is the longer edhe of each triangular prism side is 13