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#1. An orange contains about 80 milligrams of vitamin C. This is 10 times the amount of vitamin C that an apple contains.

If x represents the amount of vitamin C in an apple, which equation can be used to find x?
Question 1 options:

80x=10

10x=80

10+x=80

80+x=10

#2. Select all the situations that can be represented by the equation 12(x+40)=60.

Question 2 options:
40 more than 50% of a number is 60.

60 is half the sum of a number and 40.

A test is worth 100 points. Each question, x, is worth 12a point.

A store has a sale in which all items are 50% off. At the store, Tony spends a total of $60 for a jacket that costs x dollars and a pair of pants that costs $40.

#3. A basket contains some apples and oranges. The number of apples is 4 more than 2 times the number of oranges. The total number of pieces of fruit in the basket is 22.

Which equation finds the number of oranges in the basket, x?

Question 3 options:

2x−4=22

2x+4=22

3x−4=22

3x+4=22

#4. The equation 2y+53=165 represents the situation "Joel spends $165 on a pair of jeans and two shirts that were the same price."

What does y represent?

Question 4 options:

Price of one pair of jeans

Number of shirts Joel bought

Price of one shirt

Amount Joel spent on the shirts

#5. Jamar and Henry sell insurance policies. Henry sells 20 policies less than Jamar does. One half of the total policies they both sell is 89.

Does Jamar sell 99 policies? Why or why not?

Question 5 options:

Yes, because if Jamar sells x number of policies then the equation representing the scenario is12(2x−20)=89.

No, because if Jamar sells x number of policies then the equation representing the scenario is12(2x+20)=89

Yes, because if Jamar sells x number of policies then the equation representing the scenario is 2(2x+20)=89.

No, because if Jamar sells x number of policies then the equation representing the scenario is 2(2x−20)=89 .

Step-by-step explanation:

Look at the picture

-80 + 8p - 2z

Terms: -80, 8p, -2z

Coefficients: -80, 8, -2

Answer:  -1 < x < 8

                x = 3

                x ≠ 2

Step-by-step explanation:

Isolate x in the middle.  Perform operations to all 3 sides.

-6 < 2x - 4 < 12

+4        +4   +4

-2 < 2x       < 16

÷2    ÷2         ÷2

-1   <   x       <  8

**************************************************************************

Isolate x.  Solve each inequality separately. Remember to flip the sign when dividing by a negative.

       4x ≤ 12       and       -7x ≤ 21

      ÷4    ÷4                 ÷-7     ÷-7

        x ≤ 3         and         x ≥  3

Since it is an "and" statement, x is the intersection of both inequalities.

When is x ≤ 3 and ≥ 3?    when x = 3

****************************************************************************

Isolate x.  Solve each inequality separately.

    15x > 30       or           18x < -36

   ÷15   ÷15                   ÷18     ÷18

       x > 2          or              x <   2

Since it is an "or" statement, x is the union of both inequalities.

When we combine the inequalities, x is every value except 2.

x ≠ 2

Answer:

$447

Step-by-step explanation:

2,235 multiplied by .20

The base is 30.

Hopefully I got this correct, not 100%

Answer: 30 ft

Step-by-step explanation:

Area of a triangle= (bh)/2

* multiply both sides by 2

2A=bh

*divide by h

(2A)/h=b

*substitute values

(2x120)/8=b

240/8=30

Answer:

The answer is 109.

Do you use the Monarch school program?? Looks just like mine!

Answer:

18+t<26

t={1,2,3,4,5,6,7}

Step-by-step explanation:

18+t<26

alright, so you know that she will run less than 26. That means she cannot run 26 or 27 or any more miles than that.

She can run 19, 20, 21, 22, 23, 24, or 25 miles in total from her starting point which is 18.

She already ran 18 miles. If she ran one more it would be 19, if she ran 2 more it could be 20. But she CAN NOT pass 25 miles. (it is not less than OR equal to)

so let me put it like this:

18+1<26 yes because 18+1=19 which is less than 26

18+2<26 yes because 18+2=20 which is less than 26

18+3<26 yes because 18+3=21 which is less than 26

18+4<26 yes because 18+4=22 which is less than 26

18+5<26 yes because 18+5=23 which is less than 26

18+6<26 yes because 18+6=24 which is less than 26

18+7<26 yes because 18+7=25 which is less than 26

18+8<26 NOOO because 18+8=26 which is NOT less than 26 (it's equal, not less than)

I really hoped this help please ask me more ill be happy to help. Also if u understood can I get the brainliest?

Answer:

210

Step-by-step explanation:

Since the three numbers have no factors in common, you can get the LCM by multiplying all three numbers.

Your new balance=$-5.35

Answer:

[tex]-5.35[/tex]  [tex]dollars[/tex]

Step-by-step explanation:

Currently, your bank account balance is [tex]-20.85[/tex]  [tex]dollars[/tex]

You then [tex]deposited^{1}[/tex]  [tex]15.50[/tex]  [tex]dollars[/tex]

This means:

That you added $15.50 into your bank account balance, so:

-$20.85 + $15.50

==> -5.35

Deposited - put or set down

The numerator is the number above a fraction bar. It indicates how many parts of the whole.

Answer: the part of a fraction that represents how many equal parts are being counted

Step-by-step explanation:

For example

1/6 the one is a numerator

10x10x10x10x10x10=1000000

[tex] {10}^{6} [/tex]

means 10x10x10x10x10x10

as it's basically saying 10 is multiplied by itself 6 times which gives you 1000000

The expression 10 × 10 × 10 × 10 × 10 × 10 can be written with an exponent as [tex]10^{6}[/tex]

In Mathematics and Geometry, an exponent can be represented or modeled by this mathematical expression;

[tex]b^n[/tex]

Where:

Based on the information provided above, we can logically deduce the following expression;

10 × 10 × 10 × 10 × 10 × 10

[tex]10^{1+1+1+1+1+1}=10^{6}[/tex]

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Answer:

Step-by-step explanation:

55*.60=$33

SO, 55-33=22THE ITEM IS $22 NOW

Answer: $251,535 is the total cost for all the laptops.

Step-by-step explanation:

615×409= 251,535

Answer:

[tex]total\ cost=\$251,535[/tex]

Step-by-step explanation:

For this exercise it is important to analize the information provided in the exercise.

According to the exercise, the of cost each computer is:

[tex]cost=\$409[/tex]

You know that the school district purchased 615 new laptops for their mobile labs; therefore, in order to calculate the total cost for all the laptops purchased, you must multiply the cost of one laptop ($409) by 615.

Therefore, you get that the total cost is the following:

[tex]total\ cost=(\$409)(615)\\\\total\ cost=\$251,535[/tex]

Answer: 15 + c = 64

Step-by-step explanation:

we need to do 15 + 64

C represents her age, which would be 49, if you needed to know

Therefore the equation is 15 + c

Answer:

[tex]f(2a-\frac{3}{5})=4a^2+\frac{8a}{5}+\frac{4}{25}[/tex]

Step-by-step explanation:

we have

[tex]f(x)=x^{2} +2x+1[/tex]

Find [tex]f(2a-\frac{3}{5})[/tex]

That means -----> substitute the value of [tex]x=(2a-\frac{3}{5})[/tex] in the function and evaluate

[tex]f(2a-\frac{3}{5})=(2a-\frac{3}{5})^{2} +2(2a-\frac{3}{5})+1[/tex]

[tex]f(2a-\frac{3}{5})=(4a^2-\frac{12a}{5}+\frac{9}{25})+(4a-\frac{6}{5})+1[/tex]

[tex]f(2a-\frac{3}{5})=4a^2+\frac{8a}{5}-\frac{21}{25}+1[/tex]

[tex]f(2a-\frac{3}{5})=4a^2+\frac{8a}{5}+\frac{4}{25}[/tex]

Answer:

43

Step-by-step explanation:

Answer:

x=33

Step-by-step

subtract 15 and 2 you get 13

13 times 3 =39

subtract 39 with 39 and 46 with 39

at the end you will get -26x=7

reverse negative into positive and then add -26 with 26 and you will be left with x and then you add 7 with 26 and your answer is

x=33

Answer:

Your answer would be 30a - year

Hope this helped. Please mark brainliest if this helped.

Monthly payment is the principal and interest payment for each year for $1000 financed. he payment of the mortgage is $4639.75

The period for which the mortgage offered is 30 years.

The rate for which the mortgage offered is 5 percent.

The interest on the loan is $5.37 for every $1000 financed.

Monthly payment is the principal and interest payment for each year for $1000 financed.

He has to pay for 30 years. As there is 12 month in one year. Therefore the total months in 30 years,

[tex]n=30\times12\\ n=360[/tex]

Thus the value of n is 360.

The formula for the principal amount can be given as,

[tex]P=a\times\dfrac{r}{n} [/tex]

Put the values

[tex]5.37=a\times \dfrac{0.41667}{360} \\ [/tex]

Solving it for the a

[tex]a=4639.75[/tex]

Thus the payment of the mortgage is $4639.75.

Learn more about the monthly payment here;

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Answer: Side one is 7 3/8

Side two is 8 2/8

Side three is 3 3/8

Perimeter is 19

Step-by-step explanation:

The first side is    a+3 1/4

the second side is  2a

The third side is   7 1/2-a

Plug 4 1/8 in for a

First side   4 1/8+3 1/4

Find the common denomnator which is 8

4 1/8+3 2/8

7 3/8

First side is 7 3/8

Second side  2(4 1/8)=4 1/8 +4 1/8= 8 2/8

Third side is 7 1/2-4 1/8

Find the common denominator which is 8

7 4/8-4 1/8= 3 3/8

Third side is 3 3/8

The perimeter is adding all the three sides together

7 3/8+8 2/8+ 3 3/8=18 8/8

Reduce 18 8/8=18 +1=19

Answer:

Perimeter = 19 units

Step-by-step explanation:

Given a = 4 1/8

[tex]Side1 = a + 3\frac{1}{4}\\Side2 = 2a\\Side3 = 7\frac{1}{2}-a[/tex]

The next step is substituting the a value in the expressions:

[tex]Side1 =  4\frac{1}{8}+ 3\frac{1}{4}\\Side2 = 2*(4\frac{1}{8})\\Side3 = 7\frac{1}{2}-4\frac{1}{8}[/tex]

Then, fractions with different denominators must be converted to the same denominator. Also, the multiplication of a whole number by a mixed number can be done by using distributive law:

[tex]Side1 =  4\frac{1}{8}+ 3\frac{2}{8}\\Side2 = 8\frac{2}{8}\\Side3 = 7\frac{4}{8}-4\frac{1}{8}[/tex]

[tex]Side1 =  7\frac{3}{8}\\Side2 = 8\frac{1}{4}\\Side3 = 3\frac{3}{8}[/tex]

Now, the perimeter is the sum of all the sides. Therefore, the perimeter is:

[tex]Perimeter =  7\frac{3}{8} + 8\frac{1}{4} + 3\frac{3}{8}[/tex]

Which is 19 units.

Answer:

21 by 3

Step-by-step explanation:

3x7=21

21+21=42

3+3=6

42+6=48

√10 is irrational because a rational number is a number that is a/b where a and b are integers and b is a nonzero number.√10 does not follow this.

If you need a better explanation just as in the comments.

Happy to help! Please mark as BRAINLIEST! Thanks

Answer:

-18

Step-by-step explanation:

I used order of operations. first. you want to go the thing in parentheses. then I times it by 7 and minuses it by 3

The evaluation of the given mathematical expression 7•(x-8)-3 for x = 5 results in -24.

To evaluate the variable expression 7•(x-8)-3 for x = 5, we substitute the value of x into the expression.

This becomes 7•(5-8)-3, which simplifies to 7•(-3)-3, or -21-3. Therefore, the evaluation of the given expression for x = 5 is -24.

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Answer:

Is there a x somewhere or is that litteraly how the equation is?

If so, -7 multiplied by 2 is -14,

-1 times -7 is 7,

add it together and you get

-7=28,

you could add 7 to both sides or subtract 28 from both sides and you'll get either 0=35 or -35=0

which would make the solution false since both sides are not the same

Answer:1.0

Step-by-step explanation: 0.999 repeating is not a whole number like 1.0

Answer:

1.0

Step-by-step explanation:

Look at where the numbers are placed, in regards to the decimal point.

If a number is 1 place before a decimal point (For example 5.0) it is in the ones place.

If a number is 1 place after a decimal point (For example 0.1) It is in the tenths place.

Any numbers that are to the right the decimal are smaller than numbers to the left!

Answer:

Step-by-step explanation:

The graph of y= -4×+7 is​ a straight line with slope -4 and y-intercept 7.  Please do not use × to represent the independent variable; use x instead.  × represents multiplication.

To graph this function, first plot the y-intercept, b, which is (0, 7).

Next, starting with your pencil point at (0, 7), move the point 1 unit to the right and plot another point (which will be (1, 7) ).  Now move your pencil point 4 units down and plot your third point, which will be (1, 3).

Finally, draw a straight line thru the first and third points, that is, thru (0, 7) and (1, 3).  Notice how this line has the slope -4 and the y-intercept (0, 7).

Answer:

15

Step-by-step explanation:

We can multiply powers with the same base

x^4⋅x^2=(x⋅x⋅x⋅x)⋅(x⋅x)=x^6

Properties of exponents are rules used to simplify mathematical expressions involving exponents. Examples are Power of a Power which means adding exponents when multiplying two expressions with the same base, and Quotient of Powers which is subtracting exponents when dividing two expressions with the same base.

The question is about the properties of exponents. In mathematics, the properties of exponents refer to the rules that guide how expressions involving exponents are handled. For example, when you multiply two expressions with the same base, you add the exponents (also known as the Power of a Power property). So, an exponent like x^3 * x^2 simplifies to x^(3+2) = x^5.

Another example is the quotient of powers property, where you subtract the exponents when dividing two expressions with the same base. So, an expression like x^5 / x^3 simplifies to x^(5-3) = x^2.

These are just a couple of the basic properties of exponents. Other properties include the power of a product, the power of a quotient, zero exponent, and negative exponent. Each of these properties follows specific rules to simplify the expression involving exponents.

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The explicit formula for the geometric sequence 12, -36, 108, -324, ... is f(n) = 12 * (-3)^(n-1), where 'n' is the term number.

The series provided is a geometric series. In a geometric series, each term after the first is found by multiplying the previous term by a fixed, non-zero number called the common ratio, denoted by 'r'. In our given series 12, -36, 108, -324, ..., you can determine that the common ratio (r) is -3. Now, using the formula for a geometric sequence given by f(n) = a * r^(n-1), where 'a' is the first term (12 in this case) and 'n' is the term number, we can write the explicit formula as

f(n) = 12 * (-3)^(n-1).

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The geometric series is represented by the explicit formula f(n) = 12 * (-3)^(n-1)

The given sequence is an example of a geometric progression where each term is found by multiplying the previous term by a constant ratio. In this case, the common ratio is -3.

The explicit formula for a geometric series is given by f(n) = a * r^(n-1), where 'a' is the first term and 'r' is the common ratio. In this sequence, the first term (a) is 12 and the common ratio (r) is -3.

Plugging in the values into the formula, we can write the explicit formula for this geometric series as f(n) = 12 * (-3)^(n-1).

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The correct answer is [tex]\(\frac{17}{20} \times 100\%\)[/tex].

To find the percentage of students who passed the quiz, we need to divide the number of students who passed by the total number of students, and then multiply by 100 to convert the fraction to a percentage.

 Given that 17 students passed out of 20, the calculation is as follows:

[tex]\[ \text{Percentage of students who passed} = \left( \frac{\text{Number of students who passed}}{\text{Total number of students}} \right) \times 100\% \][/tex]

[tex]\[ \text{Percentage of students who passed} = \left( \frac{17}{20} \right) \times 100\% \][/tex]

 This fraction can be simplified to a decimal or a mixed number if necessary, but it is most accurate and precise in its fractional form as given above. To convert it to a decimal, one would divide 17 by 20 and then multiply by 100, which would yield 85%. Thus, 85% of the students passed the quiz.

Answer:

9 or 10

Step-by-step explanation:

because you add the hours