Estimate the following difference by replacing each fraction with 0, 1/2 or 1
7/8 - 6/11

Answer:

204 students said that pizza

was their favorite lunch

Step-by-step explanation:

300 · 0.68= 204

too find the percent of a number, you turn the percent into a decimal and multiply it by the original number.

Answer:

68% of 300        [problem we must solve]

68% ⇒ 0.68       [convert percent into decimal by dividing by 100]

0.68(300)           [multiply decimal by the total amount, 300]

204                     [your answer]

I hope this helps!

- sincerelynini

Answer:

14/15

Step-by-step explanation:

make both bases the same number

5/15 + 9/5

add like normally

14/15

Answer:

14/15 is your answer

Step-by-step explanation:

Answer:

B determine the radius and multiply by 2pi

Step-by-step explanation:

Answer:

The first guy is rite. ♥☻

Answer:

Part A) The length of a straight line between the school and the Fire Station is [tex]4.6\ miles[/tex]

Part B) The length of a straight line between the school and the hospital is [tex]2.1\ miles[/tex]

Step-by-step explanation:

The complete question in the attached figure

Let

The positive x-coordinates ----> East

The positive y-coordinates ----> North

The negative x-coordinates ----> West

The negative y-coordinates ----> South

take the point A (0,0) as the Middle School (reference point)

Part A) we have

Town Hall is located 4.3 miles directly east of the Middle School

so

The coordinates of Town Hall are B(4.3,0)

The Fire Station is located 1.7 miles directly North of Town Hall

so

The coordinates of Fire Station are C(4.3,1.7)

What is the length of a straight line between the school and the Fire Station?

Remember that

the formula to calculate the distance between two points is equal to

[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]

we have

A(0,0) and C(4.3,1.7)

substitute

[tex]d=\sqrt{(1.7-0)^{2}+(4.3-0)^{2}}[/tex]

[tex]d=\sqrt{(1.7)^{2}+(4.3)^{2}}[/tex]

[tex]d=4.6\ miles[/tex]

Part B) we have that

The hospital is 3.1 miles west of the fire station

so

The coordinates of the hospital are D(4.3-3.1,1.7)

D(1.2,1.7)

What is the length of a straight line between the school and the hospital?

Remember that

the formula to calculate the distance between two points is equal to

[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]

we have

A(0,0) and D(1.2,1.7)

substitute

[tex]d=\sqrt{(1.7-0)^{2}+(1.2-0)^{2}}[/tex]

[tex]d=\sqrt{(1.7)^{2}+(1.2)^{2}}[/tex]

[tex]d=2.1\ miles[/tex]

Answer:

50 ft.

Step-by-step explanation:

It is given that the ratio of width-to-length is 2 : 5.

Let,

Width = 2x ft

Length = 5x ft

Perimeter of the rectangle is

[tex]Perimeter=2(lenght+width)[/tex]

[tex]Perimeter=2(5x+2x)[/tex]

[tex]Perimeter=2(7x)[/tex]

[tex]Perimeter=14x[/tex]

It is given that the perimeter of the rectangle is 140 ft.

[tex]14x=140[/tex]

Divide both sides by 14.

[tex]x=10[/tex]

The value of x is 10.

[tex]Length=5x=5\times 10=50[/tex]

Therefore, the length of the rectangle is 50 ft.

Answer:

50

Step-by-step explanation:

Answer:

153.3

Step-by-step explanation:

154-0.7

Answer:

153.3

Step-by-step explanation:

154.0-0.7=153.3

Answer:

6³

Step-by-step explanation:

Answer:

6^3

Step-by-step explanation:

6*6*6

The base is 6

There are 3 sixes multiplied together so the exponent is 3

Answer:  

125 degrees.

Step-by-step explanation:

The 3 angles in a triangle add up to 180 degrees.

So the missing angle is 180 - (40 + 15)

=  125 degrees.

Answer:

20cm.

Step-by-step explanation:

so the answer is 8cm

Hope this will help u...

Answer:

2/5 times 2/5 equals 4/25

Step-by-step explanation:

The answer for question 1 is C. 18ft

for question 2 is B. 63ft

for question 3 is B. 45

and for question 4 is C. 23

Lastly for question 5 the answer is 14

Answer:

See Below

Step-by-step explanation:

The function is a piecewise function defined as:

[tex]N(t)=\left \{ {{25t+150} \ 0 \leq t \leq 6 \atop {\frac{200+80t}{2+0.05t} \ t \geq 8}} \right.[/tex]

a)

We need to find the limit of the function as t goes to infinity. This means what is the max value of fish in the pond given times goes to infinity (on an on).

We will take the 2nd part of the equation since t falls into that range, t is infinity, which is definitely greater than 8.

[tex]\lim_{t \to \infty} \frac{200+80t}{2+0.05t} \\\lim_{n \to \infty} \frac{80t}{0.05t}\\ \lim_{n \to \infty} \frac{80}{0.05} =1600[/tex]

This means the maximum number of fish at this pond is 1600, no matter how long it goes on.

b)

A function is continuous at a point if we have the limit and the functional value at that point same.

Functional value at t = 8 is (we use 2nd part of equation):

[tex]\frac{200+80t}{2+0.05t}\\\frac{200+80(8)}{2+0.05(8)}\\=350[/tex]

We do have a value and limit also goes to this as t approaches 8.

So, function is continuous at t = 8

c)

We want to find is there a "time" when the number of fishes in the pond is 250, during t from 0 to 6. We plug in 250 into N(t) and try to find t. Make sure to use the 1st part of the piece-wise function. Shown below:

[tex]N(t)=25t+150\\250=25t+150\\25t=250-150\\25t=100\\t=4[/tex]

The time is 4 years when the number of fishes in the pond is 250

Answer:

[tex]\mathrm{Parabola\:focus\:given}\:x^2=-20y:\quad \left(0,\:-5\right)[/tex]

Step-by-step explanation:

Given the equation

[tex]x2 = -20y[/tex]

A parabola is the locus of points such that the distance to a point the focus equals the distance to a line the directrix.

[tex]4p\left(y-k\right)=\left(x-h\right)^2[/tex] is the standard equation for an up-down facing parabola with vertex at (h, k), and a focal length |p|.

so

[tex]x^2=-20y[/tex]

[tex]\mathrm{Switch\:sides}[/tex]

[tex]-20y=x^2[/tex]

[tex]\mathrm{Factor\:}4[/tex]

[tex]4\cdot \frac{-20}{4}y=x^2[/tex]

[tex]4\left(-5\right)y=x^2[/tex]

[tex]\mathrm{Rewrite\:as}[/tex]

[tex]4\left(-5\right)\left(y-0\right)=\left(x-0\right)^2[/tex]

[tex]\left(h,\:k\right)=\left(0,\:0\right),\:p=-5[/tex]

Parabola is symmetric around the y-axis and so the focus lies a distance\ p from the center (0, 0) along the y-axis.

[tex]\left(0,\:0+p\right)[/tex]

[tex]=\left(0,\:0+\left(-5\right)\right)[/tex]

[tex]\mathrm{Refine}[/tex]

[tex]\left(0,\:-5\right)[/tex]

Therefore,

[tex]\mathrm{Parabola\:focus\:given}\:x^2=-20y:\quad \left(0,\:-5\right)[/tex]

Please check the attached figure too.

The focus of the parabola given by the equation x2 = -20y is at the coordinates (0,-5). This is calculated by finding the value of 'p' in the standard form x2 = 4py.

The equation x2 = -20y is notably a form of the parabola equation known as standard form. This version of a parabola equation is defined in the form x2 = 4py (or it could be y2 = 4px), where p is the distance from the vertex to the focus (and also to the directrix).

In the given equation, x2 = -20y, comparing it with the standard form, we find 4p = -20 by observing the coefficient of 'y'. Solving for 'p', we get p = -20/4 = -5. This means the focus of the parabola is (0,-5), because for a parabola that opens downwards (since 'p' is negative), the focus is located at the coordinates (h, k-p), where 'h' and 'k' are the coordinates of the vertex (which is the origin (0,0) in this case).

Learn more about Parabolas here:

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Answer:

1/2 gallon=2 quarts plus 3 quarts so 5 quarts then 11/4 would be 11 quarts so 11+2+3=16 quarts

Step-by-step explanation:

If the 11/4 part is confusing you on how many quarts it actually is it simply means that for every 4 quarts you get a gallon and you have 11 quarts so you can also look at it as 2 3/4 gallons if that somehow clarifies it.

The answer is 0.8. What I did was I put 4 divided by 5 in my calculator

Answer:

0.8

Step-by-step explanation:

First, we have to find out what 1/5 is, so we divide 1 by 5:

Divide:

1/5=.2

Multiply by 4:

.2 times 4= .8

I hope this helps u pls give a brainliest and a thx ;)

Answer: 187.2

Step-by-step explanation:

Answer:

187.2

Step-by-step explanation:

Answer:

3,500 yards is more.

Step-by-step explanation:

convert the yards to miles using the formula M = Y/1760

which gives you 2.001 miles so it is slightly longer than 2 miles.

Answer :3,526 yards is 6 yards greater than 2 miles

Step-by-step explanation:  1,760 . 2= 3,520

Answer:

a/b

Step-by-step explanation:

The value of tan A is a / b.

In a right triangle ABC, where angle ACB measures 90 degrees, we can use the trigonometric function tangent (tan) to relate the sides of the triangle.

TanA is defined as the ratio of the length of the side opposite angle A (side a) to the length of the side adjacent to angle A (side b).

So, tanA = a / b.

Learn more about Trigonometry here:

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Answer: the system is consistent

The system is independent

Step-by-step explanation:

Answer:

4 x 2 x 3

Step-by-step explanation:

[tex]l = 4\\\\w = 2\\h = 3\\[/tex]

Answer:

you can solve this by finding the volume of the block

Step-by-step explanation

V= lxwxh

= 3x4x2

= 24

therefore there are 24 blocks in this figure

Have a great day

Answer:

4 1/2. Root 18 simplifies to 4.242640687, which is less than 4.50

Answer:

4and 1/2

Step-by-step explanation:the square for of 18 is 4.24264 and 4 and a half is 4.5

Answer:

a is the answer

Step-by-step explanation:

In the given scenario, angle 2 is formed by line segments DG and GE. Another name for angle 2 is Angle DGE (Option a).

Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.

Here,
As mentioned in the question, Lines EH and DF intersect at point G. Angle 2 is formed by line segments DG and GE, and angle 1 is formed by line segments EG and GF. So angle 2 is constituted by segments jointly as DGE.

Thus, Another name for angle 2 is Angle DGE (Option a).

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Answer:

6b - 8 = 58

6b = 66

b = 11

Each book costs $11.

Lashonda bought 11 books.

To solve this problem, we can set up an equation based on the information given. Let [tex]\( b \)[/tex] represent the number of books Lashonda bought. Each book costs $6, so the total cost before the discount is [tex]\( 6b \)[/tex]. Lashonda received a discount of $8 off of her total purchase, and she spent $58 after the discount. Therefore, the equation representing the total cost before the discount minus the discount equals the amount she spent is:

[tex]\[ 6b - 8 = 58 \][/tex]

Now, we solve for [tex]\( b \)[/tex]:

[tex]\[ 6b = 58 + 8 \][/tex]

[tex]\[ 6b = 66 \][/tex]

[tex]\[ b = \frac{66}{6} \][/tex]

[tex]\[ b = 11 \][/tex]

So, Lashonda bought 11 books.

Three sides measuring 5 in., 12 in., and 14 in.

First of all, you need to know some facts about every triangle:

FIRST FACT:

If two sides of a triangle are [tex]a \ and \ b[/tex], then the third side must be less than [tex]a+b[/tex]. Why? because if its length is exactly [tex]a+b[/tex], then you can't build up a triangle, but you'll have a line segment. In other words:

[tex]a<b+c \\ \\ b<a+c \\ \\ c<a+b[/tex]

SECOND FACT:

The internal angles of any triangle add up to 180°. So if ∠A, ∠B and ∠C are the internal angles of a triangle, then:

[tex]\angle A +\angle B+ \angle C=180^{\circ}[/tex]

__________________________

So let's analyze each case:

[tex]\angle A=25^{\circ} \\ \\ \angle B=65^{\circ} \\ \\ \angle C=90^{\circ} \\ \\ \\ \angle A +\angle B+ \angle C=25^{\circ}+65^{\circ}+90^{\circ}=185^{\circ} \neq 180^{\circ}[/tex]

The sum is greater than 180 degrees, so these angles can't form a triangle

The sum is less than 180 degrees, so these angles can't form a triangle

The inequalities are true, so these sides form a triangle.

Case 4: Three sides measuring 4 ft, 8 ft, and 14 ft

[tex]a=4 \\ \\ b=8 \\ \\ c=14 \\ \\ \\ 4<8+14\rightarrow 4<22 \\ \\ 8<4+14 \rightarrow 8<18 \\ \\ 14<4+8 \rightarrow 14<12 \ NOT \ TRUE![/tex]

Since the third inequality is not true, then we can't form a triangle with these sides.

Answer:

50.04 pounds

Step-by-step explanation:

If 1 gallon weighs 8.34 pounds,

all you have to do is multiply 8.34 by 6

to get what 6 gallons would weigh.

To determine the weight of 6 gallons of water, multiply the weight of one gallon (8.34 pounds) by 6. Thus, 6 gallons of water weigh 50.04 pounds.

To find out how much 6 gallons of water weigh, you simply need to multiply the weight of one gallon by the number of gallons.

Since we know that one gallon of water weighs 8.34 pounds, the calculation is as follows:

6 gallons × 8.34 pounds/gallon = 50.04 pounds.

Therefore, 6 gallons of water weigh 50.04 pounds.

Answer:

12° and 168°

Step-by-step explanation:

If x is the angle, and y is the supplementary angle, then:

x + y = 180

x = y − 156

Solve the system of equations using substitution:

y − 156 + y = 180

2y = 336

y = 168

Plug back into either equation to find x:

x = 12

Final answer:

The measure of angle A is 12° and the measure of its supplementary angle B is 168°. This is determined by setting up the equation based on the property that the sum of supplementary angles is 180°.

Explanation:

The question asks to find the measures of two supplementary angles when one angle is 156° less than the other. Supplementary angles sum up to 180°. Let's designate angle A as the unknown angle and angle B as its supplementary angle. According to the given information, angle B is 156° more than angle A. Therefore, we can set up the equation A + B = 180°, where B = A + 156°.

Solving the equation A + (A + 156°) = 180° gives us 2A + 156° = 180°, and when we subtract 156° from both sides, we get 2A = 24°. Dividing both sides by 2 will give us A = 12°. To find angle B, we add 156° to angle A, resulting in B = 12° + 156°, which equals 168°.

Therefore, angle A is 12° and angle B is 168°. These are the measures of the two supplementary angles.

Answer:

C

Step-by-step explanation:

If you don't like math you don't like geometry because geometry is math. Just like if you like geometry you like math because geometry is math

Answer:

C

Step-by-step explanation:

Since geometry is math, then if you don’t like math, you won’t like geometry.