I can't seem to figure out this problem -4q + 9 = 7q - 31 ​

Answer:

The sum of the first 6 terms in the given series is -1,092.

The sum of the first 6 terms in the given series is -1,092.

The sum of the first n terms in an arithmetic collection is (n/2)⋅(a₁+aₙ). it's far called the mathematics series components.

An infinite collection that has a sum is known as a convergent collection and the sum Sn is referred to as the partial sum of the collection.

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Answer:

$5000*(1,09)^10=~ $11836.82  

Step-by-step explanation:

Answer:

Step-by-step explanation:

It is obtion 4. See attached picture.

Answer:

120 ml

Step-by-step explanation:

Let x ml of 5% acid should mix with 60 milliliters of 20% acid to obtain a 10% solution,

Thus, the quantity of resultant mixture = ( x + 60 ) ml,

Also,

Acid in x ml 5% acid + Acid in x ml 5% acid = acid in 10% resultant solution,

5% of x + 20% of 60 = 10% of ( x + 60)

[tex]\frac{5x}{100}+\frac{20\times 60}{100}=\frac{10\times (x+60)}{100}[/tex]

[tex]5x + 1200 = 10x + 600[/tex]

[tex]5x - 10x = 600 - 1200[/tex]

[tex]-5x = -600[/tex]

[tex]\implies x = \frac{-600}{-5}=120[/tex]

Hence, 120 ml of 5% acid should be mixed.

Answer:

a. [tex]\frac{2}{5}[/tex] yard

b. 1.2 feet

Step-by-step explanation:

a. Jackie cut a 2-yard spool into 5 equal length of ribbon.

We will divide 2 yard by 5 = 2 ÷ 5 =  [tex]\frac{2}{5}[/tex] yard

5 units = 2 yard

1 unit = [tex]\frac{2}{5}[/tex] yard

Check : [tex]\frac{2}{5}[/tex] + [tex]\frac{2}{5}[/tex] + [tex]\frac{2}{5}[/tex] + [tex]\frac{2}{5}[/tex] + [tex]\frac{2}{5}[/tex] = [tex]\frac{10}{5}[/tex] = 2

b. Length of each ribbon in feet

Since 1 yard = 3 feet

therefore, 2 yard = 3 × 2 = 6 feet

6 feet in to 5 equal part = 6 ÷ 5

                                       = 1.2 feet

check :   1.2 + 1.2 + 1.2 + 1.2 + 1.2 = 6.0 feet

Each ribbon cut from a 2-yard spool into 5 equal parts will be 0.4 yards or 1.2 feet in length. Tape diagrams represent this division into equal parts.

To determine the length of each ribbon when a 2-yard spool is cut into 5 equal lengths, you need to divide the total length by the number of pieces.

To represent this with a tape diagram, imagine a line equally divided into 5 sections, with each section representing 0.4 yards.

For the length in feet, since 1 yard equals 3 feet, we multiply the length in yards by 3.

To show this with a tape diagram, you can divide a line into 5 sections with each section representing 1.2 feet.

Answer:

The answer is 392,200 if it's wrong I'm sorry

Answer:

392,200

Step-by-step explanation:

look at the right of the one (the hundreds place) and its a five. if its a five or above (which it is) bump up the one to the left of it, which was the one, and is now a two.

CAN EXPLAIN FURTHER IF THIS WAS UNCLEAR

Answer:

Answer: 3

Step-by-step explanation:

Use BODMAS

Step 1: Open bracket (1 2/5 +3.5÷1 1/4 )

Convert mixed fractions into improper fractions

7/5 + 3.5 ÷ 5/4

Divide 3.5 by 5/4

7/5 + 2.8 = 4.2

Step 2: Carry out all divisions

Convert mixed fraction into improper fractions

4.2 ÷2 2/5 +3.4÷2 1 /8 −0.35

4.2 ÷ 12/5 + 3.4 ÷ 17/8 - 0.35

1.75 + 1.6 - 0.35

Step 3: Solve

1.75 + 1.6 - 0.35

3.35 - 0.35

Answer = 3

Answer:

[tex](x,y)\rightarrow (kx,ky)[/tex]

Step-by-step explanation:

A dilation is an enlargement or reduction of an object by a scale factor and with a center of dilation. The scale factor refers to the change in size. The center of dilation is a point about which we are dilating an object.

The dilation with the center of dilation at the origin and a scale factor of k has the rule

[tex](x,y)\rightarrow (kx,ky)[/tex]

This means that the image of the point with coordinates (x,y) after the dilation by a scale factor of k with center of dilation at origin will have coordinates (kx,ky).

Answer:

17

Step-by-step explanation:

Substitute the value of the variable and simplify.

[tex](-(2))^{(2+2)} +2^{(2-2)}[/tex]

[tex]-2x^{2+2} =2^{4} = 16[/tex]

[tex]2^{2-2} =2^{0}[/tex]

Anything raised to the power of 0 is one.

16 + 1 = 17

Answer:

17

Step-by-step explanation:

Answer:

Step-by-step explanation: 0.3 repeating can be made rational by turning it into 1/3.

[tex]\bf 0.\overline{3}\qquad \qquad x=0.\overline{3}\qquad \qquad \begin{array}{llll} 10\cdot x&=&3.\overline{3}\\\\ 100\cdot x&=&33.\overline{3} \end{array}\qquad \qquad \begin{array}{rllll} \stackrel{100x}{33.\overline{3}}\\\\ -\stackrel{10x}{3.\overline{3}}\\ \cline{1-1} 30.0 \end{array} \\\\[-0.35em] ~\dotfill\\\\ 100x-10x=30\implies 90x=30\implies x=\cfrac{30}{90}\implies x=\cfrac{1}{3}[/tex]

Answer:

[tex]b = \frac{4y}{5l + 5s} [/tex]

Step-by-step explanation:

[tex] \frac{4y}{5b} = l + s[/tex]

multiplying through by the L.C.M. which is 5b

[tex] \frac{4y}{5b} \times 5b = (l + s) \times 5b[/tex]

cancel out

4y =5bL+ 5bs

factorizing b out

4y=b ( 5L +5s ).

making be the subject by dividing through by ( 5L+ 5s )

[tex] \frac{4y}{5l + 5s} = \frac{b(5l + 5s)}{5l + 5s} [/tex]

[tex]b = \frac{4y}{5l + 5s} [/tex]

Answer:

Step-by-step explanation:

What you need to do is take your 65% and put it over 100% like this: 65/100

Then, you take 2691 and put it into the denominator and put x on the top like this: x/2691

Then you need to put them equal to each other and cross multiply like this 65/100=x/2691

Multiply the 2691 by 65 and x by 100

to get 100x=2691(65)

Finally, multiply the 2691 by 65 and then divide that whole thing by 100 to get x.

x will be the land in acres and your final answer.

Good luck! Hope this was clear!

65% of the total acres of the large western state is approximately 1749.15 million acres.

To find the answer:

Calculate 65% of 2691 million acres.

Divide the result by 100 to get the amount federally owned.

Therefore, the federally owned land in the large western state is approximately 1749.15 million acres.

16.2

filler filler filler

Answer:

x = -2

Step-by-step explanation:

Answer: Kristin parked her car at the garage for 6 hours and 30 minutes.

Step-by-step explanation:

Hi, to solve this problem we have to analyze the information given:

We have to divide the parking cost by the cost per hour to obtain the hours that the car was parked at the garage.

Mathematically speaking:

In conclusion, Kristin parked her car at the garage for 6 hours and 30 minutes.

Answer:

4.24

Step-by-step explanation:

Answer:

75 and 79

Step-by-step explanation:

An integer is any whole number. So you can  use practically any combination of numbers as long as one is greater than 77 and one is lower than 77.

So an example would be, 79 and 75

The original price was 142 dollar.

Suppose the value of which a thing is expressed in percentage is "a' the percent that considered thing is of "a" is b%. Then since percent shows per 100 (since cent means 100), thus we will first divide the whole part in 100 parts.

We are given that store is having a 20% off sale. If the reduced

price of an item is $126.40,

We need to find the original price.

Therefore, we can write as ;

0.80x = 113.60

Now divide both sides by .80

x=142

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To find the original price of the item that was reduced by 20% to $126.40, divide the sale price by 0.80, which yields an original price of $158.00.

To determine the original price of an item that has been marked 20% off, we need to work backward from the sale price. The sale price represents 80% of the original price because 100% - 20% = 80%.

The question is provided with the reduced price which is $126.40. To find the original price, we divide the reduced price by 0.80.

Therefore, the original price of the item was $158.00.

Answer:

Step-by-step explanation:

[tex]\left|\dfrac{x}{4}-7\right|<-2[/tex]

We know: absolute value is always non-negative.

Therefore, this inequality has no solution.

Answer:22/7

Step-by-step explanation:

in any case, the amount of zeros is more important than the significant digits. since 7X10-9 has a smaller exponent above the 10 than 6X10-4, it is safe to say 6X10-4 is the larger number

Answer:

7 x 10-9

Step-by-step explanation:

(7x10)      (6 x 10)

70-9        60-4

61             56

Answer:

short or long, thin or thick, straight or curved, direct or meandering, zigzag or serpentine, distinct or blurred

Answer:

Length

Step-by-step explanation:

We know that a line segment has two end points with a definite length.

A straight line has neither starting nor end point and is of infinite length

The attribute of the line is the length

Hope this helps! :)

[tex]x - 2 < 5 \: and \: x + 7 > 6 \\ x < 7 \: and \: x > - 1[/tex]

The correct answer is the first one,

[tex] - 1 < x < 7[/tex]

Final answer:

To solve the given inequalities, (x - 2) < 5 and (x + 7) > 6, first isolate x in each one to get x < 7 and x > -1. The intersection of these solutions, which is the final answer, is -1 < x < 7.

Explanation:

The student has asked to solve two inequalities and find the intersection of their solutions. The inequalities are (x - 2) < 5 and (x + 7) > 6. To solve these separately:

For the first inequality, add 2 to both sides to get x < 7.

For the second inequality, subtract 7 from both sides to get x > -1.

To find the intersection, we look for values that satisfy both conditions: x > -1 and x < 7. Therefore, the solution is the set of all x such that -1 < x < 7.

Answer:

300,000

Step-by-step explanation:

hope this helps

Answer:

271,000

Step-by-step explanation:

Rounding depends on the place value, if you are rounding to the nearest thousand, look at the number in the hundred place. Is that number lower or higher than 5? If lower, the place you are rounding to stays the same, and the places below it turn to zeros. If 5 or higher, round up, add 1 to the place you are rounding to, then turn the places below to zeros.

In this case, the hundreds place is a 4. Meaning you round down.

Total meat in the recipe  he wants to use  = 7 pounds

Beef : pork    =    3  : 1

Total pork that he will use =       x 7 pounds

= 7/4 pounds

hope this helps

Answer:

Amount of pork used was 1 pound.

Step-by-step explanation:

Mike wants to make meatloaf by adding beef and pork.

Ratio of the meat (beef and pork) is = 3 : 1

Recipe requires total amount of meat = 4 pounds

So the amount of pork used in the recipe = [tex]\frac{1}{(1+3)}\times 4[/tex]

= [tex]\frac{1}{4}\times 4[/tex]

= 1 pound

Therefore, total amount of pork used in the recipe is 1 pound.

Answer:

Two thirds of the Senate must approve it

The minimum number of Senate members needed to approve a treaty is two-thirds of the Senate.

The minimum number of members of the Senate that must approve a treaty for it to go into effect is two-thirds (⅔) of the Senate. The Constitution of the United States, Article II, Section 2, Clause 2 states that the President has the power to make treaties, but they require the advice and consent of the Senate.

For example, if the Senate has 100 members, then 67 votes would be needed to approve a treaty for it to go into effect. However, it is important to note that the Senate may require a supermajority vote, which would mean a higher percentage of approval than two-thirds, depending on their rules and procedures.

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Answer:

5 is the interquartile range

Step-by-step explanation:

•25th Percentile: 7

•50th Percentile: 8.5

•75th Percentile: 12

•Interquartile Range: 5

Final answer:

The three consecutive integers that satisfy the condition are 11, 12, and 13. These numbers are such that the sum of the first two is equal to the third integer plus 10.

Explanation:

The question asks to find three consecutive integers where the sum of the first two is 10 more than the third. To solve this, let's call the smallest integer 'x'. Therefore, the next two consecutive integers will be 'x+1' and 'x+2'. The problem states that the sum of the first two integers is 10 more than the third, which gives us the equation: x + (x + 1) = (x + 2) + 10.

Simplifying this equation gives us 2x + 1 = x + 12. To find the value of 'x', we subtract 'x' from both sides of the equation, which gives us x + 1 = 12. Next, we subtract 1 from both sides to get x = 11. The three consecutive integers in question are therefore 11, 12, and 13.

Checking our work: the sum of the first two integers is 11 + 12 = 23. The third integer plus 10 is 13 + 10 = 23. Since both sums are equal, our solution is correct.

Final answer:

To find three consecutive integers, let the first integer be x, the second integer be x+1, and the third integer be x+2. Solve the equation x + (x+1) = (x+2) + 10 to find x, then determine the three consecutive integers.

Explanation:

To find three consecutive integers, we can let the first integer be x, the second integer be x+1, and the third integer be x+2. We are given that the sum of the first two integers is 10 more than the third integer. This can be written as:

x + (x+1) = (x+2) + 10

Combining like terms and solving the equation, we get:

2x + 1 = x + 12

x = 11

So the three consecutive integers are 11, 12, and 13.

Answer:

(a) $2,375.

(b) $2,875.

Step-by-step explanation:

We have been general admission to The American Museum of Natural History is $19.

(a). To find the total cost of tickets for a group of 125 students, we will multiply 125 by $19.

[tex]\text{The total cost of tickets}=\$19\times 125[/tex]

[tex]\text{The total cost of tickets}=\$2,375[/tex]

Therefore, the total cost of 125 tickets would be $2,375.

(b). We have been given that the group also purchases IMAX movie tickets for an additional $4 per student.

The total cost of one ticket would be the cost of museum ticket plus movie ticket that is [tex]\$19+\$4=\$23[/tex].

The new total cost of 125 tickets would be 125 times $23.

[tex]\text{The new total cost of tickets}=\$23\times 125[/tex]

[tex]\text{The new total cost of tickets}=\$2,875[/tex]

Therefore, the new total cost of 125 tickets would be $2,875.