Here are clues for a puzzle involving two numbers.



Seven times the first number plus six times the second number equals 31.
Three times the first number minus ten times the second number is 29.
PART A
What are the two numbers?

Answers

Answer 1

Answer:

the first number is 5 1/2the second number is -1 1/8

Step-by-step explanation:

The relations describing the two numbers can be written as equations. First, we need to assign variables: let x and y represent the first and second numbers, respectively.

The given relations are then ...

  7x +6y = 31

  3x -10y = 29

__

Such a system of equations can be solved many ways. One that is usually convenient is to use a graphing calculator. It tells us ...

the first number is 5 1/2the second number is -1 1/8
Here Are Clues For A Puzzle Involving Two Numbers.Seven Times The First Number Plus Six Times The Second

Related Questions

please answer . thanks in advance

Answers

Answer:

Step-by-step explanation:

If they are the same, the ratio of length to width when reduced to the lowest terms are

Large rectangle L/w = 36/24 = 3/2

Small triangle L/w = 24/18 = 4/3

Answer: The ratios are not the same. The rectangles are not similar.

6. The vertex of a parabola is (15,-30) and the y-intercept is (0,25). Is this enough information to write
the equation? If so, do such, if not explain.

Answers

Answer:

[tex]y=\frac{11}{45} x^2-\frac{22}{3}x+25.[/tex]

Step-by-step explanation:

Enough.

The explanation is in the attached picture.

Note, the suggested way is not the only one, and finally a=11/45.

how to solve the proof and the steps

Answers

Answer:

Step-by-step explanation:

Sally's family is going to visit her grandparents for the holidays. They live 585 miles away. Sally's parents plan to drive for 5.5 hours on the first day, then stop at a hotel for the night and complete the rest of the trip on the second day. They plan to maintain an average speed of 60 miles per hour.
Which equation can Sally use to find how many hours, h, they can expect to drive on the second day?
How many hours can Sally's family expect to drive on the second day?

Answers

Answer: 4.25

Step-by-step explanation:

First day: 60 × 5.5 = 330

Second day: 585 - 330 = 225 ÷ 60 = 4.25

wildflower mix contains several different types of seeds.

cornflower 40
primrose 3
black-eyed Susan 2
poppy 6
baby's breath 12

What is the probability that a randomly selected seed will be a poppy seed?

Answers

The chance would be 9.52% (rounded) because you would take the total number of seeds (63) and divide the number of poppy seeds by the total.
Then you would convert decimal fraction by multiplying it by 10.

Find the volume of the sphere. Round your answer to the nearest tenth.
Use 3.14 for it.
A sphere has a diameter of 3.8 centimeters.
The volume of the sphere is about
cm3
HELP ME PLS

Answers

Answer:

Step-by-step explanation:

Remark

You are given the diameter but the formula uses the radius. So your first job is find the radius. Then you use this value in the formula to find the volume. Substitute

Givens

pi = 3.14

d = 3.8

r = d/2

r = 3.8/2 = 1.9

Formula

V = (4/3) * pi * r^3

Solution

V = (4/3) * 3.14 * 1.9^3

V = 4/3 * 3.14 * 6.859

V = 28.7163

HELPPP Serena was collecting blank sticker books for her classmates. She measured the lengths of each book and recorded the data on the line plot below. What is the total length of all the books that are 3 3/5 inches?

SHOW YOUR WORK OR LEAVE A SIMPLE EXPLANATIONS HELLPP

Answers

Answer:

The total length of all the books that were 3 3/3 inches is 8.6 because there are 5 books that are 3 3/5 inches. and if you add them thats the answer.

Pls give brainliest ily<3

Answer:

18 in

Explanation:

[tex]\sf 3 \dfrac{3}{5 } \ in= 3.6 \ in[/tex]

there are total 5 books with 3.6 in

so total length : 5 * 3.6 = 18 in

Identify the value of y.
-6×2×9y = 7y-4+4-690

Answers

Hey there!

-6×2×9y = 7y-4+4-690

=> Let's solve your equation step-by-step.

(((−6)(2))(9))(y)=7y−4+4−690

Step 1: Simplify both sides of the equation.

(((−6)(2))(9))(y)=7y−4+4−690

−108y=7y+−4+4+−690

−108y=(7y)+(−4+4+−690)(Combine Like Terms)

−108y=7y+−690

−108y=7y−690

Step 2: Subtract 7y from both sides.

−108y−7y=7y−690−7y

−115y=−690

Step 3: Divide both sides by -115.

−115y/−115 = −690/−115

y=6

Answer:

y=6

Therefore, the value of y = 6

Answer:

y=6

Step-by-step explanation:

(((−6)(2))(9))(y)=7y−4+4−690

−108y=7y+−4+4+−690

−108y=(7y)+(−4+4+−690)

−108y=7y+−690

−108y=7y−690

Subtract 7y from both sides.

−108y−7y=7y−690−7y

−115y=−690

Step 3: Divide both sides by -115.

−115y      -690

−115         -115

y=6

I hope this helped!! If so please mark brainliest and rate my answer <33

What are the steps to solving?

Answers

[tex]sin(\theta )=\cfrac{\stackrel{opposite}{7}}{\underset{hypotenuse}{25}}\qquad \textit{let's find the \underline{adjacent side}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2-b^2}=a \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \sqrt{25^2-7^2}=a\implies \sqrt{576}=a\implies 24=a~\hfill tan(\theta )=\cfrac{\stackrel{opposite}{7}}{\underset{adjacent}{24}}[/tex]

Please please please help me really quick i just need help please!

Answers

Answer:

54.98 cm squared

To find the area of the shaded region, we first need to know the area of the entire figure and the area of the circle.

To find the area of the circle, we use the formula pi times r^2

r is the radius, which can be found by multiplying the diameter by 1/2

1/2 x 16 = 8

Now we have pi times 8^2

8^2 = 64

Now we have pi times 64

Let's say that pi = 3.141 in this situation. We could be more exact and say 3.14159265... but that is probably not what your teacher wants.

64 x 3.141 = 201.024

So, we have the area of the circle.

Now we need the area of the entire figure.

Well, that's just length times width.

16 x 16 = 256

So, to find the area of the shaded region, we just have to find the difference between 256 and 201.024

256 - 201.024 = 54.976

We can round that to 54.98, or if you want, to 55.

what is 1 half multiplied by (4+8) equal

Answers

Answer:

6

Step-by-step explanation:

What is 1 half (1/2) multiplied by (4+8) equal?

1/2*(8+4) <== add the number in the parenthesis

1/2*12 <== multiply the numbers, half of 12 is 6

6 <== final answer

Hope this helps!

6

Step-by-step explanation:

Hope the pic will help

Find the GCF of 78 and 93.

Answers

Answer:

3

Step-by-step explanation:

Greatest common factor (GCF) of 78 and 93 is 3. GCF(78,93) = 3.

Pleasee help it’s due on Monday

Answers

Answer:

1.6 × [tex]10^{10}[/tex]

Step-by-step explanation:

( 4 × [tex]10^{5}[/tex] )( 4 × [tex]10^{4}[/tex] ) = ( 4 · 4 ) × ( [tex]10^{5}[/tex] · [tex]10^{4}[/tex] ) = 16 × [tex]10^{4+5}[/tex] = ( 1.6 × [tex]10^{1}[/tex] ) × [tex]10^{9}[/tex] = 1.6 × [tex]10^{10}[/tex]

Which angle measures 30 degrees?

Answers

Answer:

angle e o f and c o e

Step-by-step explanation:

please mark me brainliest

Acute angle is the answer which is A

can anyone help me with this

Answers

Answer:

Yes

Step-by-step explanation:

Their angles are the same and the shapes are similar.

Answer:

Yes they do.

Step-by-step explanation:

All of the angles are the same shape and size therefore are equal to each other.

40 students go to a sport centre in buses. a bus can hold 14 students. find the number of buses needed​

Answers

Answer:

The answer is 3 buses

Step-by-step explanation:

40 divided by 14 is 2.85714285714 buses well you cant have 3/4 of a bus so you round it up to 3 buses

graph "-3n+4<25" on a line plot

Answers

Answer:The solution is in the attached file

Step-by-step explanation:

Hint: There are 3 feet in 1 yard.....Math 100pts

Answers

Answer:

$0.22/foot

Step-by-step explanation:

Setting up the equation:

⇒ 6 yards of aluminum wire costs $3.96

⇒ 6 yards = $3.96

Simplifying the equation in cost/foot:

⇒ 6 yards = 6(3) feet = 18 feet = $3.96                                  (1 yard = 3 feet)

⇒ 18 feet = $3.96

1 foot = $3.96/18 = $0.22

Answer:

$0.22

Step-by-step explanation:

6 yards costs $3.96

Therefore, to find the cost of 1 yard, divide the cost of 6 yards by 6:

⇒ 1 yard = $3.96 ÷ 6

              = $0.66

1 yard = 3 feet

Therefore, to find the cost of 1 foot, divide the cost of 1 yards by 3:

⇒ Price per foot = $0.66 ÷ 3

                           = $0.22

¿Cuántos enteros divisibles por 9 hay entre 95 y 450?

Answers

Answer:

s so you're going to divide when you going to divide 95 why you take it to the other side it will become 95 * 450 equals to 42750 / 9 when we divide 42750 / 9 to give you 4750 that is your answe

Simon's dog jumped into a stream at a 68° angle from the corner of a bridge. simon crossed the bridge and walked downstream to meet the dog.
part a how long is the bridge, in feet?
part b how many feet did the dog swim?

Answers

The length of the bridge is 12.12 feet.

The length the dog swam is 32.36 feet.

The situation forms a right angle triangle.

What is a right angle triangle?

A right angle triangle has one of its angles as 90 degrees. Therefore, the sides and angle can be found using trigonometric ratios.

The length of the bridge is the opposite side of the triangle and the length the dog swim is the hypotenuse side of the triangle.

Therefore,

Let's find the length of the bridge as follows:

tan 68° = opposite / adjacent

tan 68° = 30 / l

cross multiply

l = 30 / tan 68

l = 12.1212121212

length of the bridge = 12.12 ft

The length the dog swim is as follows:

sin 68°= opposite / hypotenuse

sin 68° = 30 / h

h = 30 / sin 68

h = 32.3561767942

The distance the dog swimmed = 32.36 ft

learn more on right triangle here: https://brainly.com/question/22734914

can someone help please????​

Answers

y= 80.55% approximately, 80.6% rounded up

Calculations:

The percent (percentage) of a given number p/q can be found, for the most part, without a calculator by a slight change in the notation:

y=the number 29/36 expressed as a percent becomes

y=[29(2.7777777778 approx.)]/[36(2.7777777778 approx.)]

y=0.8055 approx. (Express the decimal numeral as a percent)

y=0.8055(100)

y=

80.55% approx., which is 80.6% rounded up to the nearest tenth percent

A scale drawing of a house is 2:9. If the length of the actual kitchen is 18 feet, how long was it in the drawing?

Answers

Answer:

4 feet

Step-by-step explanation:

the 9 part of the ratio relates to 18 feet , then

18 ÷ 9 = 2 feet ← value of 1 part of the ratio , then

2 parts = 2 × 2 feet = 4 feet ← length on scale drawing

Turn the written information into a equation (exponential function):

Common ratio of 4; horizontal shift right 6

Answers

Step-by-step explanation:

common ratio is usually used for geometric sequences.

every term is created by multiplying the previous term by a certain constant factor (= common ratio).

this factor or common ratio is in our case 4.

such a sequence is a function f(x) for x being whole numbers.

a0 = 1

a1 = a0×4 = 1×4 = 4

a2 = a1×4 = 4×4 = 16

...

an = 4^n

as general function that is then

f(x) = 4^x

a horizontal shift right by 6 units means that now the functional value of x is the same as it was for (x-6) before the shift.

e.g. f_new(6) = f_old(0)

so, the function is

f(x) = 4^(x - 6) or (4^x)/4⁶

A taxi ride cost a flat fee of 4. 00 plus an additional 1. 25 per mile how many mile would a person travel if they paid 19. 0

Answers

Answer:

12 miles

Step-by-step explanation:

19 - 4 = 15

15/1.25 = 12

Determine the intercepts of the line.
Do not round your answers.
Y=5x-13

Answers

Answer:

y intercept:(0,-13)
x intercept: (13/5,0)

Step-by-step explanation:

The way we find intercepts (both x and y) is to plug in zero.

x int:

We set y to 0:

0=5x-13

add thirteen to both sides

13=5x

x=13/5

y int:

set x to zero

y=5(0)-13

y= - 13

pls help

If we know that 455 students are in school today and that number represents 70% attendance. Use the following equation .70s=455 to figure out how many students are in the school. *
A 650
B 318
C 485
D 620

Answers

A
455*100/70=650
650/100*70=455

What is the value of ice cream and coffee?

Answers

Answer:

ice cream 3

coffee 5

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

Answer:

coffee is $5 each and $3 for ice cream

Step-by-step explanation:

4. If you spin the spinner twice, what is the probability that the spinner will land on 5 on the first spin and 2 on the second spin?

1/16
3/16
1/8
1/4

Answers

Answer:

1/16

Step-by-step explanation:

Given in comment:

5,4,3,2 = Spinner

Thus, there are 4 possible answer

Given:

If you spin the spinner twice, what is the probability that the spinner will land on 5 on the first spin and 2 on the second spin?

1/16

3/16

1/8

1/4

Solve:

Knowing that there only One 5 and One 2 on the spinner.

Thus, in fraction form - 1/4 and 1/4

Probability land on 5 = 1/4

Probability land on 2 = 1/4

Because there are 4 possible solution and one of each is 5,4,3,2

Now, multiply then together:

1/4 × 1/4 = {1 ×1 = 1 and 4 × 4 = 16}

Put Together:

1/16

Hence, the answer is " The Probability that the spinner will land on 5 on the first spin and 2 on the second spin is 1/16  

~Lenvy~

Answer:

1/16

Step-by-step explanation:

so, per your additional information the "spinner" has 4 possible results : 5, 4, 3 ,2

I guess, they are like the six numbers on a die equally probable.

that means the probabilty to get one of the 4 possible answers is 1/4 (desired outcomes over all possible outcomes).

now, to make the experiment twice and link the results as one desired outcome (like a 5 and a 2, or two 4s, or ...), we can multiply the probabilities as combined events without overlapping.

why ?

similar to a die with 6 possible results, we have here for every one of the 4 possible results of the first spin, we have 4 possible results of the second spin.

so, the probability of one particular set of 2 results is

1/4 × 1/4 = 1/16

in other words, it is 1/4 to get 5 on the second spin, and 1/4 to get 2 on the second spin. because we want both to happen as one desired result, both events have to happen as combination (and not as "or"). hence the multiplication.

Abraam needs bread to make his sandwich for lunch. He'd like to buy a loaf at the best value. At the store, there is a 1 lb. loaf for 80¢ and a 2 lb. loaf for $1.95. per oz. The 1 lb. loaf costs Choose... per oz. and the 2 lb. loaf costs Choose... Abraam should buy the Choose... loaf of bread. Unlimited A​

Answers

Answer:

loaf 1 costs 5 cents an oz and loaf 2 costs 6 cents a pound so aabrum should but loaf 1

Step-by-step explanation:

What is the surface area of right rectangular prism with dimensions of
4 centimeters by 4 centimeters by 6 centimeters?
6 cm
4 cm
4cm

Help asap!

Answers

Answer:

S.A of a rectangular prism is 2lh+2lw+2hw

2(4x6)+2(4×4)+2(6×4)

2(24)+2(16)+2(24)

48+32+48= 128cm²

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