Hilda has $210 worth of $10 and $12 stock shares.
The number of $10 shares is five more than twice the
number of $12 shares. How many of each type of share
does she have?

Answers

Answer 1
Let n and v represent the numbers of $10 and $12 shares Hilda owns.
.. n = 2v +5 . . . . . the number of $10 shares is 5 more than twice the number of $12 shares
.. 10n +12v = 210 . . . Hilda has $210 worth of $10 and $12 shares

Using the expression of the first equation to substitute into the second, we have
.. 10(2v +5) +12v = 210
.. 32v +50 = 210 . . . . . . collect terms
.. 32v = 160 . . . . . . . . . . subtract 50
.. v = 5 . . . . . . . . . . . . . . divide by 32
.. n = 2*5 +5 = 15

Hilda has 15 $10 shares and 5 $12 shares.

Related Questions

The football and soccer teams at Juans middle school are selling movie tickets. He wants to determine the average number of tickets sold at the school. First he surveyed eight random players on tge football team. Then he surveyed every third athlete on the football and soccer team. Which sampling technique should produce a more representative sample

Answers

The strategy that would better represent true data would be the second technique for multiple reasons. The second strategy would provide information from both the football in the soccer team. It also would provide more data points ( a larger sample group) which would increase the likelihood of the data being more accurate.

Answer:

D is the answer.

"The second sampling method, surveying the both teams, is the most representative. "

Step-by-step explanation:

A rectangular prism has a length of 212 meters, a width of 4 meters, and a height of 214 meters.



What is the volume of the prism?



Enter your answer in the box as a simplified mixed number or a decimal.


Answers

181,472m^3. I don't know why it would be a mixed number or decimal, its multiplication with whole numbers

The volume of the rectangular prism is 22 1/2 m³

What is the volume of the rectangular prism?

A rectangular prism is a three-dimensional object. It is made up of six faces, twelve sides and six vertices.

Volume = length x width x height

2 1/2 x 4 x 2 1/4

5/2 x 4 x 9/4 = 720 / 32 = 22 1/2 m³

Here is the complete question: A rectangular prism has a length of 21/2 meters, a width of 4 meters, and a height of 21/4 meters.

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how could you use 1/8 cup measuring cup to measure the light corn syrup 9/12)

Answers

What we can do in this case is to draw the number of cups of 1/8 that are needed to reach the measure of 9/12.
 We have then:
 (9/12) / (1/8)
 Applying double c:
 ((9) * (8)) / (12)
 Simplifying:
 ((9) * (2)) / (3)
 ((3) * (2)) / (1)
 (3) * (2)
 6
 Answer:
 It takes 6 cups of 1/8 to measure the light corn syrup 9/12

Final answer:

To measure 9/12 or 3/4 of a cup of syrup using a 1/8 cup, fill and level-off the 1/8 cup measuring cup six times. This uses basic fraction multiplication and measurement skills appropriate for middle school mathematics.

Explanation:

To measure light corn syrup using a 1/8 cup measuring cup, you first need to understand the fraction you're working with, which is 9/12 of a cup. Simplifying this fraction gives you 3/4 of a cup (since 9/12 reduces to 3/4 by dividing both the numerator and denominator by 3). Now, since there are 8 portions of 1/8 in a full cup, you need 6 portions of 1/8 (because 3/4 equals 6/8) to measure out 3/4 of a cup of light corn syrup.

To do this, you'll fill the 1/8 cup measuring cup six times and add each portion to your mixture to reach the desired amount of 9/12 or 3/4 of a cup of syrup. This is a simple example of using measurements and fractions to achieve the correct proportions in a recipe or any culinary preparation.

Identifica la pendiente y el intercepto de y=2-5x

Answers

The standard formula for a line is
y=mx+b
where m (coefficient of x) is the slope.

For  y=2-5x
Here coefficient of x is -5, so m= slope = -5

The intercepts can by found by setting x and y to zero and solve for y and x.

x-intercept: set y=0 => 0=2-5x => x-intercept=2/5 
y-intercept: set x=0 => y=2-0 => y-intercept = 2

My friend needs help with her homework. The problem she is on is: There is 11 sandwiches. 2 children shares each sandwich. How many children share the sandwiches?

Answers

11 x 2 = 22. 22 children can share the sandwhiches. Hope this helps.

The two cones below are similar. What is the value of x?

Answers

The answer is 0.8! Hope this helped 

The values of x is 0.8 and the right option is O A. 0.8.

What are similar shapes?

Similar shapes are enlargements of two shapes using scale factor.

The ratio of the corresponding lengths of similar shapes is equal.

Formula:

Height of the larger cone/Height of the smaller cone = Radius of the larger cone/Radius of the smaller cone

From the diagram,

10/2 = 4/x

make x the subject of the equation

x =(4×2/10)x = 8/10x = 0.8.

Hence, the values of x is 0.8 and the right option is O A. 0.8.

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Write the time another way 23 minutes after 4

Answers

23 minutes after 4 o'clock is the same as 4:23.
4:23

Would be the answer

Find the area of the circle with the given radius or diameter. Use pi = 3.14. r = 2

Answers

A of circle = pi• r^2= 3.14•4= 12.56

Two runners are to race one lap on a circular track, the radius to the inside circle is 50m.the radius on the outside lane is 51m. How much of a head start should the runner on the outside get?

Answers

Tmuch of a head start should the runner on the outside get would be = 2πm.

How to calculate the length of head start for the runner outside?

To calculate the length of head start for the runner outside against the inside runner, the following steps should be taken as follows:

The formula for circumferential of circle = 2πr

Circumference of inner circle;

= 2× π×50

= 100π

Circumference of outer circle;

= 2×π×51

= 102π

The length of head start for the runner outside = 102π-100π = 2πm

find the product of 80x^4/y^3 ×xy/5x^2

Answers

[tex]\bf ~~~~~~~~~~~~\textit{negative exponents}\\\\ a^{-n} \implies \cfrac{1}{a^n} \qquad \qquad \cfrac{1}{a^n}\implies a^{-n} \qquad \qquad a^n\implies \cfrac{1}{a^{-n}} \\\\ -------------------------------\\\\ \cfrac{80x^4}{y^3}\times \cfrac{xy}{5x^2}\implies \cfrac{80x^4xy}{y^35x^2}\implies \cfrac{80x^4xx^{-2}}{5y^3y^{-1}}\implies \cfrac{80x^4x^1x^{-2}}{5y^3y^{-1}} \\\\\\ \cfrac{16x^{4+1-2}}{y^{3-1}}\implies \cfrac{16x^3}{y^2}[/tex]

convert 39/5 to a mixed number written in lowest terms

Answers

Hello!

39 ÷ 5 = 7.8

A N S W E R:

7.8 = 7 4/5 (This is in lowest terms)


Jessica grows two types of tomato plants in her garden. For each type, she records the heights, in inches, of five plants.

What can she infer about the heights of the plants?

Type 1: {42, 56, 44, 60, 48}

Type 2: {62, 59, 68, 55, 66}

Type 1 plants and Type 2 plants do not have similar height distributions.
Type 1 and Type 2 plants have similar height distributions.
Type 1 plants and Type 2 plants have identical height distributions.
Type 1 and Type 2 plants have somewhat similar height distributions.

Answers

The answer is D 
Type 1 Type 2 plants have somewhat similar height distributions 

The inference that can be made is that D. Type 1 and Type 2 plants have somewhat similar height distributions.

What is Inference?

This refers to a statement or assertion that is made about something, which may or may not be true.

Hence, we can see that based on the height of the plants, there is a similarity in the heights of Type 1 and Type 2 plants, hence it can be inferred that Type 1 and Type 2 plants have somewhat similar height distributions.

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PLEASE HELP!!!!!

Give the piecewise function shown below select all of the statements that are true

A. f(4)=7

B. f(1)=0

C. f(-1)=2

D. f(-2)=0

Answers

Try this option:
A. f(4)=7 - false; explanation: x=4, it means that x>0 and x²-1=4²-1=15 ⇒ f(4)=15.
B. f(1)=0 - true; explanation: x=1, it means that x>0 and x²-1=1-1=0.
C. f(-1)=2 - true; explanation: x=-1, it means that x<0 and -x+1=1+1=2.
D. f(-2)=0 - false; explanation: x=-2, it means that x<0 and -x+1=2+1=3 ⇒ f(-2)=3.

1 6 9 7 . 4
- 8 8 7 . 7 5

Answers

809.65 that is the answer i think

Hello,

Here is your answer:

The proper answer to this question is "809.65".

1697.4
-
887.75
______
809.65

Your answer is 809.65!

If you need anymore help feel free to ask me!

Hope this helps!

An arrangement of marbles has 12 marbles in the first row and 10 rows in all. In each successive row one marble is added.

What is the explicit rule for this situation, and how many marbles will be in the 10th row?

Drag and drop the answers into the boxes to match the situation.

Explicit rule

Number of marbles in the 10th row

An = 11 + 11n, An = 12 + n, An = 11 + n, An = 12 + 10n, 19, 20, 21,
























Answers

Explicit rule: An = 12 + n

Number of marbles in the 10th row: 22

The explicit rule for this situation is An = 12 + n, where "n" represents the row number.

To find the number of marbles in the 10th row, you can plug in n = 10 into the explicit rule:

A10 = 12 + 10

A10 = 22

So, there will be 22 marbles in the 10th row.

Matching the answers:

Explicit rule: An = 12 + n

Number of marbles in the 10th row: 22

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The product of 7 and a number, increased by 3, is equal to twice the number, subtracted from 39.
Find the number

Answers

Let the number be X. Then we find
7X + 3 = 39 - 2X

Now we collect the terms and find
9X = 36

Finally we divide by 9
X = 4

So our answer is 4

Harper's house is 30 feet wide and 45 feet long. On a scale drawing, the house is 4 inches wide and 6 inches long, and Harper's bedroom is 1.2 inches wide and 1.6 inches long. What are the actual measurements of Harper's bedroom? Enter your answers in the boxes. Harper's bedroom is feet wide and feet long.

Answers

Original dimensions of house:
30 feet wide and 45 feet long.
Dimensions on drawing:
4 inches width and 6 inches long.
Scale is:  1 inch on drawing= 30/4 = 7. 5 ft in original.
Width of bedroom= 1.2 inches
So, actual length= 1.2 x 7.5 = 9 ft
Length of bedroom= 1.6 inches
So, actual length= 1.6 x 7.5  = 12 ft

Actual measurement of Harper's bedroom is 9 ft wide and 12 ft long.
the answer is 9 feet wide 12 feet long i had this on a test

half of the sum of six and three then divided by seven

Answers

The expression is 1/2 × (6+3) ÷7
1/2 × (6+3) ÷7
1/2 × 9 ÷7
4.5 ÷7
0.64285714
*Last 6 digits are repeating decimals
Hope this was helpful :D
Final answer:

In order to find the answer, put six and three together to obtain nine, then divide nine in half to get 4.5, and then divide 4.5 by seven to get roughly 0.64.

Explanation:

When translated into a mathematical operation, the phrase "half of the sum of six and three then divided by seven" looks like this: Find the value of the sum of 6 + 3 to get 9 first. Then divide by half, or 4.5, to get the answer. Divide this by seven, and you'll arrive at a result that is roughly 0.64 (rounded to two decimal places).

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Complete the square to write y = 3x2 + 12x + 7 in vertex form, y = a(x - h)2 + k. y = 3(x2 + 4x) + 7 y = 3(x2 + 4x +4) + 7 -

Answers

Answer:

A. 12

B. 3

C. -2

D. -5

Step-by-step explanation:

Verified on edge, just finished it

The Vertex form is y= 3(x+ 2)² -5 and a= 3, h= -2, k= -12.

What is Vertex Form?

The vertex form of a quadratic function is f(x) = a(x – h)² + k, where a, h, and k are constants.

Vertex form, one of the usual forms for quadratic functions, emphasises the coordinates of the vertex of the function's graph.

Given:

y = 3x² + 12x + 7

Now writing the equation in vertex form

y = 3x² + 12x + 7

y = 3x(x + 4) + 7

Adding and subtracting 12 on both side

y= 3(x²+ 4x) + 7 -12 + 12

y= 3(x² + 4x + 4) + 7- 12

y= 3(x+ 2)² -5

Now, Comparing it with  y = a(x - h)² + k we get

a= 3

h= -2

and, k= -12

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The Wilsons traveled 860 miles to New York City to attend a wedding. They took a different route on the way home to visit historical landmarks. The trip home was 920 miles. How many more miles did they travel on the way home?

Answers

The correct answer is actually 60 miles more !!

what do you call an object with one fixed endpoint that extends to infinity

Answers

A ray has one fixed endpoint that extends to infinity
This line is called a A ray.

In a shipment of 400 parts, 14 are found to be defective. How many defective parts should be expected in a shipment of 1,000? Really need this I'm giving you maximum points

Answers

The shipmentof 1000 is 1000/400 = 2.5 times as large as the shipment of 400, so 2.5 * 14 = 35 defective parts can be expected.

Andy has 9 math books and 6 reading books if you wants to distribute them evenly among some bookshelves so that each has the same combination of books with none left over what is the greatest number of bookshelves Andy can use

Answers

3 is the greatest number of book shelves Andy can use. I solved this by finding the greatest comment factor of 9 and 6, which turned out to be 3.
6/3=2(reading books per shelf)
9/3=3(math books per shelf)
Every shelf there are two reading books and 3 math books
9 math books
6 reading books
First we need to find the greatest common factor.
in this case it would be 3.
9 ÷ 3 = 3
6 ÷ 3 = 2
Here we have our answer
since 3 is not an even number it cannot be split evenly which means each bookcase will have at least 3 math books on it - and 2 reading books as well


*bookcase 1:
3 (math)
2(reading
*bookcase 2:
3 (math)
2 (reading)
*bookcase 3:
3 (math)
2 (reading

how can 5% be written as a simplified ratio

Answers

Percentages are out of 100, so 5% is really 5/100.

We can reduce 5/100 be dividing the  numerator and denominator by 5. This leaves us with 1/20 which is the simplified version of 5/100.

So 5% as a ratio would be 1:20

10x - 4 = 2 ( ? ) is it a) 5x - 4 b) 5x - 2 c) 10x - 4 d ) 10x - 8

Answers

we have that

10x - 4 = 2 ( ? )
I proceed to replace the missing value with the given expression

case a-------------> 5x - 4
then
10x - 4 = 2 (5x-4 )--------> 10x - 4 = 10x-8--------> is not solution

case b-------------> 5x - 2
then
10x - 4 = 2 (5x-2 )--------> 10x - 4 = 10x-4--------> is  solution

 case c-------------> 10x - 4 
then
10x - 4 = 2 (10x - 4 )--------> 10x - 4 = 20x-8--------> is not solution

 case d-------------> 10x - 8
then
10x - 4 = 2 (10x - 8 )--------> 10x - 4 = 20x-16--------> is not solution

the answer is the option b) 5x - 2

a rectangular park is 4 miles long and 2 miles wide. how long is pedestrian route that runs diagonally across the park

Answers

you can use the Pythagorean theorem to solve this
[tex]{x}^{2} = {4}^{2} + {2}^{2} [/tex]
Now solve for x
[tex] {x}^{2} = 16 + 4 \\ {x}^{2} = 20 \\ x = \sqrt{20} [/tex]
Now you can simplify this to
[tex]x = \sqrt{5 \times 4} \\ x = \sqrt{5} \sqrt{4} \\ x = \sqrt{5 } \times 2 \\ x = 2 \sqrt{5} [/tex]
And that's your answer

If the total labor cost is $865,000 and 12 percent is for concession staff, how much of the labor cost is for concession staff?

Answers

12% of $865,000 is $103,800

Four balls are selected at random without replacement from an urn containing three white balls and five blue balls. Find the probability of the given event. (Round your answer to three decimal places.)

All of the balls are blue

Answers

Final answer:

To find the probability of selecting all blue balls, we divide the number of ways to choose 4 blue balls out of 8 by the number of ways to choose 4 balls out of 8 blue balls and 3 white balls.

Explanation:

To find the probability of selecting all blue balls, we need to consider the number of ways we can choose 4 blue balls out of the 8 blue balls in the urn, divided by the total number of ways we can choose 4 balls out of the 8 blue balls and 3 white balls in the urn.

The probability can be calculated as:

P(All blue balls) = (Number of ways to choose 4 blue balls out of 8) / (Number of ways to choose 4 balls out of 8 blue balls and 3 white balls)

Since the balls are selected without replacement, the number of ways to choose 4 blue balls out of 8 is 8 choose 4. The number of ways to choose 4 balls out of 8 blue balls and 3 white balls is 11 choose 4.

Therefore, the probability of selecting all blue balls is P(All blue balls) = (8 choose 4) / (11 choose 4).

Which digit is in the hundredths place in the number 742.891?

Answers

they mean the decimal portion. it goes 10s. 100s. 1,000s. so the 100ths is thr number 9

Place value is the value of a digit in a number.

Before the decimal i.e on the left-hand side, the place values we have are called:

Units, Tens, Hundreds, Thousands, Ten Thousands e.t.c

After the decimal i.e on the right-hand side, the place values we have are called:

Tenth, Hundredth, Thousandth. Ten thousandth e.t.c

We are given the number: 742.891

The digit in the hundredths place is 9

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Simplify: (–5) • (7) – (6) • (–2)

Answers

-5 x 7= -35 - 6= -41 x -2= 82 
                        hope this helped PLEASE ADD ME BRAINIEST :-)

The correct answer is -23.

To simplify the given expression, we need to perform the indicated operations and follow the order of operations (PEMDAS: Parentheses, Exponents, Multiplication/Division, Addition/Subtraction).

Given expression: (–5) • (7) – (6) • (–2)

Step 1: Perform the multiplications inside the parentheses.

(–5) • (7) = –35

(6) • (–2) = –12

Step 2: Perform the subtraction operation.

–35 – (–12) = –35 + 12 = –23

Therefore, the simplified expression is:

[tex](-5) \cdot (7) - (6) \cdot (-2) = -35 + (-12) = -23[/tex]

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