The water level of a river is 170feet. The river recedes 4 feet each year. Ingrid claims that the equation that represents this scenario is y=170x-4. Is her equation correct?

[tex] \\ \sf \longmapsto \: - \frac{ 5}{4} x = - 160 \\ \\ \sf \longmapsto \: \frac{5}{4} x = 160 \\ \\ \sf \longmapsto \: x = 160 \times \frac{4}{5} \\ \\ \sf \longmapsto \: x = 32 \times 4 \\ \\ \sf \longmapsto \: x = 128[/tex]

Step-by-step explanation:

-5/4x=-160

5/4x=160

x=160×4/5

x=640/5

x=128

The triangle is missing and so i have attached it.

Answer:

x = 93°

Step-by-step explanation:

From the triangle attached, we can say that;

<SQP + <SQR = 180°

This is because sum of angles on a straight line equals 180°.

Secondly, we know that sum of angles in a triangle also equals 180°.

Thus;

<SQR + <QSR + <SRQ = 180

From the attached triangle, we see that;

<QSR = 35°

<SRQ = 58°

Thus;

<SQR + 35° + 58° = 180°

<SQR + 93° = 180°

<SQR = 180° - 93°

<SQR = 87°

From earlier on, we saw that;

<SQP + <SQR = 180°

Plugging in <SQR = 87°, we have;

<SQP + 87° = 180°

<SQP = 180° - 87°

<SQP = 93°

We are told in the question that <SQP is denoted by x.

Thus;

x = 93°

Answer:

The value of x is answer D: 93

=========================================================

Explanation:

It's a bit strange why your teacher has the "26 degree" label pointing at a side length, rather than an actual angle. I'm assuming your teacher meant to aim it at angle C. In other words, I'm assuming they meant to say angle C = 26 degrees.

If that assumption is correct, then,

A+B+C = 180

38+B+26 = 180

B+64 = 180

B = 180-64

B = 116

Then we can use the law of sines like so:

a/sin(A) = b/sin(B)

a/sin(38) = 10/sin(116)

a = sin(38)*10/sin(116)

a = 6.84986152123146

a = 6.8

Side 'a' is approximately 6.8 inches long. So that's why the answer is choice A.

Answer:

7:16 P.M.

Step-by-step explanation:

24/90=4/15. There are 60 minutes in an hour, so we have 240/15=16.

Answer:

9c^7d^13

Step-by-step explanation:

0.85x-100<80

collect like terms

0.85x<80+100

0.85x<180

divide by 0.85

x<211.8

Answer:

10/3 days  or 3 1/3 days

Step-by-step explanation:

Let d = number of days total

75% of the days is 10

.75 d = 10

d = 10/.75

d = 40/3 days

We want to know how man is 25% of d

d * 25%

(40/3) *.25

10/3 days

Answer:  90

Step-by-step explanation:

[tex]\displaystyle\ \Large \boldsymbol{} (\sqrt{0,04}-\sqrt{(-1,2)^2}+\sqrt{121 } ) \cdot \sqrt{81} = \\\\\\(0,2-1,2+11)\cdot 9=(11-1)\cdot 9=90[/tex]

Answer:

9

Step-by-step explanation:

let the price of one can food be x,

4x=17.20

x=4.3

number of can foods that can be purchased = 38.70/x = 38.7/4.3 = 9

4CANS=$17.20

$38.70

cross multiply

4 multiply by 38.70 =154.8 divide by 17.20

ANSWER = 9

area: 40p² + 24p

wide: 8p

(40p² + 24p)/ 8p

5p + 3

so, length: 5p + 3 -> (a)

perimeter = wide x 2 + length x 2

16p + (10p + 6)

26p + 6 -> (b)

Answer:

I think it is 2, downwards

Answer:

vertical shift of 2 units up

Step-by-step explanation:

Given f(x) then f(x) + c is a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

f(x) = 9 | x + 1 | + 2

Represents a vertical shift of 2 units up of the parent function

Answer:

16

Step-by-step explanation:

Sub in the number of customers (12) into the equation for the line of best fit, and solve.

y = 5/4 (12) + 1

y = 15 + 1

y = 16

There will be 16 positive YELP reviews

Answer:

Use pythagoras theorem

Answer:

6

Step-by-step explanation:

Altitude = 3400t +600

21,000 = 3400t +600

21000-600= 3400t

20400/3400 = 3400t/3400

t= 6

Answered by Gauthmath

Answer:

See pic below.

slope = 2/3

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

Answer:

4 coats

Step-by-step explanation:

Let the cost of a pair of shoe be x.

Thus, 6 pairs would cost; 6x

Thus,1 coat will cost 6x.

2 pairs of jeans cost as much as 3 pairs of shoes.

Thus, 2 pairs of jeans will cost 3x.

4 pairs of socks cost as much as one pair of jeans.

If 2 pairs of jeans cost 3x

Then 1 pair will cost 3x/2 = 1.5x

Thus, 4 pairs of socks will cost 1.5x.

Thus, 1 pair of socks will cost 1.5x/4

Then, 64 pairs of socks will cost;

64 × 1.5x/4 = 24x

Earlier, we saw that 1 coat costs 6x.

Thus means that;

Number of coats to exchange for 64 pairs of socks = 24x/6x = 4 coats

1.

C. 5x + 4 - 2x is an algebraic expression

Answer:

5.0645km

Step-by-step explanation:

For the first part of the journey where Vail skied 2 km north, 2 km west

displacement = √2² + (-2)²

displacement = √4+4

displacement = √8

displacement = 2√2 km

d1 = 2√2 km

For the second part of the journey where he skeid 1 km north, and 2 km west. How far was she from her starting point?

displacement = √1² + (-2)²

displacement = √1+4

displacement = √5

d2 = √5 km

Total displacement = d1 + d2

Total displacement = 2√2 + √5

Total displacement = 2(1.4142) + 2.2361

Total displacement = 2.8284+ 2.2361

Total displacement = 5.0645km

Hence she was 5.0645km from her starting point

Answer:

(b) It is symmetrical about [tex]x = 1[/tex]

Step-by-step explanation:

Given

[tex]y = 2(x - 1)^2 - 5[/tex]

See attachment for options

Required

True statement about the graph

First, we check the line of symmetric

[tex]y = 2(x - 1)^2 - 5[/tex]

Expand

[tex]y = 2(x^2 - 2x + 1) - 5[/tex]

Open bracket

[tex]y = 2x^2 - 4x + 2 - 5[/tex]

[tex]y = 2x^2 - 4x -3[/tex]

A quadratic equation [tex]y = ax^2 + bx + c[/tex] has the following line of symmetry

[tex]x = -\frac{b}{2a}[/tex]

By comparison, the equation becomes:

[tex]x = -\frac{-4}{2*2}[/tex]

[tex]x = \frac{4}{4}[/tex]

[tex]x = 1[/tex]

Hence, the line of symmetry is at: [tex]x = 1[/tex]

(b) is true.

Answer: It is symmetrical about x=1

Step-by-step explanation:

Answer:

B. y=1/2+2

Step-by-step explanation:

since parallel lines always have the same slope, the only two possible answers could be B and C. in order to find if one of those goes through point (-2,1), we have to set up an equation to find the base:

1=1/2(-2)+b

1=-1+b

2=b

We can plug in the base with the slope for the equation and the new equation would be y=1/2x+2

Answer:

4^(-2)

Step-by-step explanation:

4^4(4^-7)(4)

We know that a^b * a^c = a^(b+c)

4^4(4^-7)(4^1)

4^(4+-7+1)

4^(-2)

Answer:

6*5*4*3*2*1 = 6! = 720

Step-by-step explanation:

There are 720 three digit numbers that can be created from the digits provided given that no digit may be repeated.

A permutation is defined as a mathematical process which determines the number of different arrangements in a set of objects when the order of the sequential arrangements.

Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.

The operator that perform arithmetic operation are called arithmetic operators .

Operators which let do basic mathematical calculation

+ Addition operation : Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation : Subtracts right hand operand from left hand operand.

for example 4 -2 = 2

* Multiplication operation : Multiplies values on either side of the operator

For example 4*2 = 8

There are six choices to begin with and that quantity decreases by one every time the next digit is chosen as shown below:

⇒ 6*5*4*3*2*1

⇒ 6!

⇒ 720

Hence, there are 720 three digit numbers that can be created from the digits provided given that no digit may be repeated.

Learn more about permutation here:

brainly.com/question/1216161

#SPJ2

Answer:

Step-by-step explanation:

If [tex]y=x^2-2x+5-6x[/tex] then

[tex]y=x^2-8x+5[/tex] by combining like terms. (I'm thinking you might have mistyped the problem because this representation is weird).

[tex]\frac{dy}{dx}=2x-8[/tex]

Answer:

3p−4q+r) is (p + 7q - 6r)(p+7q−6r) less than (4p+3q-5r)(4p+3q−5r) .

Let (3p-4q+r)(3p−4q+r) is 'x' less than (4p+3q-5r)(4p+3q−5r) . Then

3p-4q+r = 4p+3q-5r - x→3p−4q+r=4p+3q−5r−x

x= 4p+3q-5r - (3p-4q+r)→x=4p+3q−5r−(3p−4q+r)

x= 4p+3q-5r - 3p + 4q - r→x=4p+3q−5r−3p+4q−r

x= 4p- 3p +3q +4q - 5r - r→x=4p−3p+3q+4q−5r−r

x= p + 7q - 6r→x=p+7q−6r

Thus (3p-4q+r)(3p−4q+r) is (p + 7q - 6r)(p+7q−6r) less than (4p+3q-5r)(4p+3q−5r) .

Answer:

5p+3q-6r

Step-by-step explanation:

4p+3q-5r -(3p-4p+r) = 4p+3q-5r-3p+4p-r = 5p+3q-6r

if u made a typo and the question is "How much is 3p-4q+r less than 4p+3q-5r", the answer is p+7q-6r​

Answer:

C

Step-by-step explanation:

As n → ∞

[tex]\frac{85}{n}[/tex] , [tex]\frac{75}{2n}[/tex] , [tex]\frac{15}{2n^2}[/tex] → 0

Then

15 - 35 - 0 + 55 + 0 + 0

= - 20 + 55

= 35 → C

Answer:

A

Step-by-step explanation: