Jason consumes 1500 calories and needs to
put on weight, so he plans on increasing his caloric intake by 150 calories a day. His sister, Lisa, needs to lose weight and decrease her present intake of 3500 calories by 100 calo ries a day. After how many days will they be consuming the same number of calories?

Answer:

Step-by-step explanation:

Given that:

Tip left = $1.30

Tax = 7%

Tip = 10% of after tax cost

The tax percentage is not needed in calculating the bill after tax and tip

Hence,

Let after tax cost = x

10% of x = 1.30

0.1x = 1.30

x = $13

After tax cost = $13

Hence, the Total bill after tax = $13

Answer:

1. a

2.c

3.d

4.c

5.b

6.d

Step-by-step explanation:

Answer:

y=1/3x+4

Step-by-step explanation:

Slope = 1/3

y=1/3x-b

Through (6,-2)

-2=1/3(6)-b

-2=2-b

-4=-b

b=4

y=1/3x+4

Hope this helps!

Answer:

1.15

Step-by-step explanation:

Answer:

at the top of the mountain or hill

Step-by-step explanation:

potential energy is stored energy so therefore the higjestpoint will have the most potential energy.

The skier begins at an elevated position, thus possessing a large quantity of potential energy (i.e., energy of vertical position).

The energy an object has as a result of motion is known as kinetic energy. A force must be applied to an object in order to accelerate it. We must put in effort in order to apply a force. After the work is finished, energy is transferred to the item, which then moves at a new, constant speed.

The skier has a lot of potential energy because they are starting from an elevated position (i.e., energy of vertical position).

If the skier is starting from rest, all of their mechanical energy is potential energy.

and, Potential energy is lost and kinetic energy, or the energy of motion, is acquired as the skier starts the ascent down the hill.

Learn more about Kinetic Energy here:

https://brainly.com/question/26472013

#SPJ3

Answer:

4.69

Step-by-step explanation:

13.76/4 +1.25

Answer:

[tex]\frac{-100(100+x)}{(x-100)}[/tex]

Step-by-step explanation:

Let the original price of the item = p

Let there was q% of increase on the original value, so

the printed price of the item, [tex]C= p+p \frac{q}{100}=p(1+\frac{q}{100})[/tex]

After a price reduction of x%, the has its price increased to its original value, so,

[tex]C-C\times \frac {x}{100} =[/tex] original price + increased price

[tex]p(1+\frac{q}{100})-p(1+\frac{q}{100})\times \frac {x}{100} = p+p[/tex]

[tex](1+\frac{q}{100})-(1+\frac{q}{100})\times \frac{x}{100} =2[/tex]

[tex]-(1+\frac{q}{100})\times \frac{x}{100} =2-1-\frac{q}{100}[/tex]

[tex]-(1+\frac{q}{100})\times \frac{x}{100} =1-\frac{q}{100}[/tex]

[tex](1+\frac{q}{100})\times \frac{x}{100} =\frac{q}{100}-1[/tex]

[tex]\frac{x}{100}+\frac{q}{100}\times\frac{x}{100}-\frac{q}{100}=-1[/tex]

[tex]x+x \times \frac{q}{100}-q=-100[/tex]

[tex]q(\frac{x}{100}-1)=-100-x[/tex]

[tex]q=\frac{-100(100+x)}{(x-100)}[/tex]

Hence, the percent of the increase is [tex]\frac{-100(100+x)}{(x-100)}[/tex]

Answer:

Ans 30 km per hour............

the answer is the last one.

you convert to point slope form and get

y = 4x - 5

when you graph that (along with the other equations) it is the only one that passes through the point (1,-1)

Step-by-step explanation:

Let length is x and breadth is y.

The formula for the area and the perimeter of a rectangle is given by :

A = xy

P = 2(x+y)

Here, A = 8 mi² and P = 16 miles

Putting all the values,

xy = 8

y=8/x ......(1)

2(x+y) = 16

x+y = 8 .....(2)

Put equation (2) in equation (1) as follows :

[tex]x+\dfrac{8}{x}=8\\\\x^2+8=8x\\\\x^2-8x+8=0[/tex]

When we solve, we get :

x = 6.82 miles, 1.17 miles

Put the value of x in equation (1)

When x = 6.82 miles,

y = 8/6.82

y = 1.17 miles

When x = 1.17 miles,

y = 8/1.17

y = 6.82 miles

Hence, the dimension of the field is 6.82 miles and 1.17 miles.

Answer:

The next statements are are;

Statement                                                  [tex]{}[/tex]        Reason

Segment [tex]\overline {DC}[/tex] ≅ Segment [tex]\overline {AB}[/tex]                        [tex]{}[/tex]   CPCTC

[tex]\overline {AD}[/tex] ≅ [tex]\overline {BC}[/tex] and [tex]\overline {DC}[/tex] ≅ [tex]\overline {AB}[/tex], therefore;

ABCD is a parallelogram                    [tex]{}[/tex]               Parallelogram side theorem

Step-by-step explanation:

Statement                                                  [tex]{}[/tex]        Reason

Segment [tex]\overline {DC}[/tex] ≅ Segment [tex]\overline {AB}[/tex]  by Congruent Parts of Congruent Triangles are Congruent (CPCTC)

Given that [tex]\overline {AD}[/tex] ≅ [tex]\overline {BC}[/tex] and we have that [tex]\overline {DC}[/tex] ≅ [tex]\overline {AB}[/tex], we get;

ABCD is a parallelogram                    [tex]{}[/tex]               Parallelogram side theorem

The parallelogram side theorem states that a quadrilateral is a parallelogram if it has two pairs or sets of congruent opposite sides.

Answer:

3/8

Step-by-step explanation:

Answer:

C: 3/8

Step-by-step explanation:

edg2021

There are a total of 16 outcomes, and 6 of them have equal heads and tails. Simplify and its 3/8

Answer:

Answer:

The marked angle GEF is 25

Step-by-step explanation:

Here, we want to calculate the value of the marked angle

Mathematically, a diagram should do justice to this

Please check the attachment for the diagram

The theorem we want to use is that the sum of opposite interior angles equals the exterior angle

Thus, mathematically;

2x + 1 + x + 19 = 6x + 2

3x + 20 = 6x + 2

6x-3x = 20-2

3x = 18

x = 18/3

x = 6

The angle marked GEF is x + 19

That will be 6 + 19 = 25

Answer:

D. twenty-eight and nine tenths

Answer:

$5.70 of so 13.30

Step-by-step explanation:

$5.70 of from the $19 so it would be 13.30

Answer:

The shirt would cost $13.30

Step-by-step explanation:

Divide

[tex]19/100 = .19[/tex]

Take off 30%

[tex]100-30=70[/tex]

Multiply

[tex].19*70= 13.3[/tex]

Answer:

y  ≤ 0

Step-by-step explanation:

im 99% sure this is correct

hope this helps <3

Answer:

2

Step-by-step explanation:

The scale factor is two since it's 2 times bigger than the actual figure.

Proof:

A to B = 4 units

A' to B' = 8 units

A to C = 3 units

A' to C' = 6 units

See how it keeps multiplying by 2.

4 x 2 = 8

3 x 2 = 6.

Ace Carlos

Answer:

6314

Step-by-step explanation:

Answer: down and left and right and up

Step-by-step explanation:

Answer:

48

Step-by-step explanation:

Answer:

Step-by-step explanation:

x is clearly 42° because WU is an angle bisector of YWZ (which is 84, and bisecting means half of 84, that is 42)

now, for m of WYL

notice, YLW = 90°

also, UWL = 42°

name the intersection point of YL and WU as O in your mind

Apply angle sum property of a triangle for triangle WOL

angle WOL + angle UWL + angle YLW = 180

angle WOL + 90 + 42 = 180

angle WOL = 180 - 132

angle WOL = 48

now focus on line LOY

since LOY is a line, the angles a line intersecting it forms a linear pair, i.e

angle WOL + angle YOW = 180

48 + YOW = 180

angle YOW = 132

Now, apply angle sum property for triangle YOW

angle YOW + angle YWO (x) + angle WYO (or WYL) = 180

132 + 42 + WYO (or WYL) = 180

WYO (or WYL) = 6°

ask me in the comments if you have any doubts in this

Answer:

[tex]36700000[/tex]

Step-by-step explanation:

Difference between tourists visiting France and Italy = [tex](7.94 - 4.27)[/tex] ×[tex]10^{7}[/tex]

[tex]= 3.67[/tex] × [tex]10^{7}[/tex]

[tex]= 36700000[/tex]

[tex]\therefore[/tex] Difference between population of tourists in France and Italy are [tex]36700000[/tex] people.

Answer:

It can crawl 24 inches in 1 minute.

Step-by-step explanation:

1. We know 1 ft = 12 in, so 120 ft = 1,440 in.

2. If the turtle can crawl 1440 inches in 1 hour, that's equivalent to crawling 1440 inches in 60 minutes.

3. we can write this as a fraction and then multiply the denominator 60 by itself to find how many inches per minute the turtle can crawl.

4. 1440/60 ×60/60 =24/1

Answer:

- 2 feets

Step-by-step explanation:

Given that sea star can be found at an ocean depth of 2 feets ;

An ocean depth of 2 feets can be represented as :

Sea level - depth = 0 - 2 = - 2 feets

Hence, it can be concluded that sea star lives in the ocean

Answer: 0.6841

Step-by-step explanation:

Given: Probability of all SMES would file for bank loans next year = 3.5% = 0.035

Sample size : n = 100

Binomial probability distribution formula :

[tex]P(X=x)=^nC_xp^x(1-p)^{n-x}[/tex]

The probability that at least 3 will file bank loans next year :

[tex]P(x\geq3)=1-P(x<3)\\\\=1-(P(x=0)+P(x=1)+P(x=2))\\\\=1-(^{100}C_0(0.035)^0(1-0.035)^{100}+\ ^{100}C_1(0.035)^1(1-0.035)^{99}+^{100}C_2(0.035)^2(1-0.035)^{98})\\\\=1-(0.3159)\\\\=0.6841[/tex]

Hence, the required probability= 0.6841

Answer:

She replaced both the divisor and the dividend with their reciprocals when changing division to multiplication in step 2.

Step-by-step explanation:

She switched the divisor and the dividend when creating an equation to model the problem in step 1.

She replaced both the divisor and the dividend with their reciprocals when changing division to multiplication in step 2.

She multiplied the two numerators and the two denominators to generate her product in step 3.

She reduced the improper fraction incorrectly when getting her final answer.

5/16 = 1/3h

Correct steps

Step 1:

h = 5/16 ÷ 1/3

Step 2:

h = 5/16 × 3/1

Step 3:

h = (5*3) / (16*1)

= 15/16

h = 15/16

Incorrect steps:

Step 1: StartFraction 5 Over 16 EndFraction divided by one-third = h

5/16 ÷ 1/3 = h

Step 2: StartFraction 16 Over 5 EndFraction times StartFraction 3 Over 1 EndFraction = h

16/5 × 3/1 = h

Step 3: StartFraction 48 Over 5 EndFraction = h Answer: 9 and three-fifths = h

48/5 = h

9 3/5 = h

Answer:

She replaced both the divisor and the dividend with their reciprocals when changing division to multiplication in step 2  

Step-by-step explanation:

please give me brain list, please

Answer:

Step-by-step explanation:

1.A

2.C

3.D

4.C

5.B

6.D

if these are wrong just do the flipped sign version so that would be

1.B

2.D

3.C

4.D

5.A

6.C

Answer:

here,

slope of line y=4x+5(m1)=-a/b

=4

slope of line -4x+y=-13(m2)=-a/b

4

here m1=m2 so,these are parallel to each other.