In the diagram, AC is a diameter of the circle with center O. If m_ACB = 50°, what is m_BAC?

Answer:

A mango costs $4.68, a coke costs $1.56 and a taco costs $4.25

Step-by-step explanation:

Given

Represent Tacos with T, Coke with C and Mango with M

For Grace:

[tex]2T + C + M = 14.74[/tex] --- (1)

For Mia:

[tex]5T + 2C + M = 29.05[/tex] -- (2)

[tex]M = 3C[/tex]

Required

Determine the cost of each item

Substitute 3C for M in (1) & (2)

[tex]2T + C + M = 14.74[/tex]

[tex]2T + C + 3C = 14.74[/tex]

[tex]2T + 4C = 14.74[/tex] --- (4)

[tex]5T + 2C + M = 29.05[/tex]

[tex]5T + 2C + 3C = 29.05[/tex]

[tex]5T + 5C = 29.05[/tex] --- (5)

Divide through (5) by 5

[tex]T + C = 5.81[/tex]

Solve for C

[tex]C= 5.81 - T[/tex]

Substitute 5.81 - T for C in (4)

[tex]2T + 4C = 14.74[/tex]

[tex]2T + 4(5.81 - T) = 14.74[/tex]

[tex]2T + 23.24 - 4T = 14.74[/tex]

Collect Like Terms

[tex]2T - 4T = 14.74 - 23.24[/tex]

[tex]-2T= -8.5[/tex]

Solve for T

[tex]T = -8.5/-2[/tex]

[tex]T = 4.25[/tex]

Recall that:

[tex]C= 5.81 - T[/tex]

[tex]C = 5.81 - 4.25[/tex]

[tex]C = 1.56[/tex]

Recall that

[tex]M = 3C[/tex]

[tex]M = 3 * 1.56[/tex]

[tex]M = 4.68[/tex]

Hence:

A mango costs $4.68, a coke costs $1.56 and a taco costs $4.25

Answer:

y=6.25x+10

Step-by-step explanation:

6.25 is the rate of change so it is the slope.  10 is what you start with so it is the y- intercept

Answer:

21 pencils for Nick and 63 pencils for Lance

Step-by-step explanation:

Now let's make an equation out of the information above:

3x + x = 84

Now solve for x.

3x + x = 84

4x = 84

x = 84/4

x = 21

So Nick has 21 pencils

Now for Lance:

3x

3 * (21) = 63

So Lance has 63 pencils

63 + 21 = 84 pencils

Answer:

The coordinates of its image are (2, -4)

Step-by-step explanation:

Let us revise the rules of reflection across the axes

∵ The point (2, 4) is reflected across the x-axis

→ By using the first rule above rx-axis (x, y) → (x, -y)

∴ Change the sign of its y-coordinate

∴ Its image is (2, -4)

∴ The coordinates of its image are (2, -4)

Answer:

3xy-15 thats the simplified form

Answer:

72.45°

Step-by-step explanation:

Add 7.65° to 64.8°

The temperature is 72.45° on Tuesday.

Hope I helped :)

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Answer:

Step-by-step explanation:

Monday=64.8

Tuesday= 64.8+7.65

=72.45

Answer:

0

Step-by-step explanation:

63/7 = 9

We know,

If any number smaller then fifty told to be rounded to its nearest hundred then the answer is ' 0 '

Similarly the nearest hundred of 9 is 0.

Hope it helps

Mark me brainliest.

Answer:

5.8

Step-by-step explanation:

[tex]\sqrt{5^{2} + (-3)^{2} } \\\sqrt{25 + 9} \\\sqrt{34}[/tex]

5.83

hope it helps

Answer:

5.8

Step-by-step explanation:

well, you use the distance formula to find the magnitude of this vector.

Hope this helps!

Answer:  105 of them are hummingbirds.

Step-by-step explanation:

I there are a total of 350  birds then 30% o 350 will give the number o hummingbirds.

350 of 30%

350 * 0.3 = 105

= 10 (u + 9)

= 10 x u + 10 x 9

= 10u + 90

Answer:   7:3 is the ratio of the problem

Step-by-step explanation:

Answer:

1 ft³ of gold will weigh 1209.6 pounds

1 ft³ of copper will weigh 559 pounds.

Step-by-step explanation:

We know the formula for:

Density = Mass/Volume

Hence, making mass the subject of the formula:

Mass = Density × Volume

From the question we are told:Volume of each metal = 1 ft³

1) Metal: Gold

Density of Gold = 0.70 pounds per cubic inch(lb/in³)

We convert the Volume of gold from ft³ to in³

The Volume of gold given in the question = 1 cubic foot = 1 ft³

1 cubic foot = 1728 cubic inches

Hence, the volume of Gold = 1728 in³

Mass of Gold = Density of Gold × Volume of Gold

Mass of Gold = 0.70Ib/in³ × 1728 in³

= 1209.6 lb(pounds)

2) Metal : Copper

Density of copper given in the question = 8.96 grams per cubic centimeter

Ib = pounds

We convert this density in g/cm³ to ib/in³

453.5g = 1 Ib

8.96g = a Ib

Cross Multiply

= 453.5g × a Ib =8.96g × 1 Ib

= a Ib = 8.96g × 1 Ib/453.5g

a Ib = 0.0197574421 Ib

Density of Copper = 0.0197574421 Ib/cm³

28,316.8 cm³ = 1 ft³

1 cm³ = b ft³

b ft³ = 1 cm³ × 1 ft³/28,316.8cm³

b ft³ = 0.0000353147 ft³

1 cm³ = 0.0000353147 ft³

We have to convert the density of Copper from Ib/cm³ to Ib/ft³

0.0197574421 Ib/cm³ = 0.0197574421 Ib/0.0000353147 ft³

559.46793026 Ib/ft³

Volume of copper = 1ft³

Mass = Density × Volume

Mass of copper = 559.46793026 Ib/ft³ × 1 ft³

= 559.46793026 Ib or pounds

≈ 559 pounds

Therefore , the weight of gold is 1209.6 pounds and the weight of copper will be 559 pounds.

Answer:

Gold

Density of Gold = 0.70 pounds per cubic inch

1 cubic foot = 1728 cubic inches

Hence, the volume of Gold = 1728 in³

Mass of Gold = Density of Gold × Volume of Gold

Mass of Gold = 0.70Ib/in³ × 1728 in³ = 1209.6 lb(pounds)

2) Metal : Copper

Density of copper given in the question = 8.96 grams per cubic centimeter

We convert this density in g/cm³ to ib/in³

453.5g × a Ib =8.96g × 1 Ib = 8.96g × 1 Ib/453.5g = 0.0197574421 Ib

Density of Copper = 0.0197574421 Ib/cm³

Volume of copper = 1ft³

Mass = Density × Volume

Mass of copper = 559.46793026 Ib/ft³ × 1 ft³ = 559.46793026 Ib or pounds

≈ 559 pounds

The weight of gold is 1209.6 pounds and the weight of copper will be 559 pounds.

Answer:

square the vertical starting from bisect angle !

Answer:

A small slushee has 12 ounces.

A medium 29 ounces.

And a large 72 ounces.

Step-by-step explanation:

Let s represent the size of the small slushee, m the medium slushee, and l the large slushee.

We know that the medium slushee has 17 more ounces than the small slushee. So:

[tex]m=s+17[/tex]

We also know that the large slushee l has 6 times as many ounces than the small slushee. Therefore:

[tex]l=6s[/tex]

Finally, we know that there are a total of 113 ounces in the small, medium, and large drinks combined. So:

[tex]s+m+l=113[/tex]

We can solve this triple system of equations using substitution. Let's substitute l for 6s and m for (s+17). This yields:

[tex]s+(s+17)+(6s)=113[/tex]

Combine like terms:

[tex]8s+17=113[/tex]

Subtract 17 from both sides:

[tex]8s=96[/tex]

Divide both sides by 8:

[tex]s=12\text{ oz}[/tex]

So, the small slushee is 12 ounces.

So, the medium slushee is [tex]12+17=29\text{ oz}[/tex]

And the large slushee is [tex]6(12)=72\text{ oz}[/tex]

And we're done!

Answer:

3(x + 8y)

Step-by-step explanation:

3 is the highest term that can be factored out; there are no other numbers/variables in common.

Factor out 3 from 3x + 24y.

= 3(x+8y)

The factored form of the given expression is 3(x+8y).

A factor is a number that divides into another number without a remainder. So, for example, 5 is a factor of 20 because 20/5 = 4. There is no remainder. You can also think of factors as the numbers that you multiply together in order to obtain a product.

Given is an expression 3x+24y, we need to find the factors of the given expression,

3x+24y

Since, 3 is the highest term that can be factored out; there are no other numbers/variables in common.

Factor out 3 from 3x + 24y.

= 3(x+8y)

Hence, the factored form of the given expression is 3(x+8y).

Learn more about factors, click;

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5/2 can be written as 2 1/2

2*2 = 4 + 1 = 5

Answer:

2 1/2

Step-by-step explanation:

you divide 5 into 2, to get 2 and 1 left over

Answer:

-17/24

Step-by-step explanation:

Because they are negative numbers, the smaller fraction (when disregarding the negative sign) is always a larger number. -11/12 could be changed to -22/24, and therefore since it is a larger number when disregarding the negative (22/24), it is a smaller number altogether.

-17/24 > -22/24

The measure of the remaining angle is 72 degree, the correct option is A.

A trapezoid, also known as a trapezium, is a flat closed shape having 4 straight sides, with one pair of parallel sides.

Given

A recycling bin is shaped like a trapezoid.

The bottom 2 angles are 108 degrees.

The top left angle is 72 degrees.

The front view of a recycle bin is shaped like a trapezoid is given by;

[tex]\rm \angle 1+ \rm \angle 2+ \rm \angle 3+ \rm \angle4= 360\\\\108+108+72\rm +\angle 4=360\\\\\rm 288+\angle 4 = 360 \\\\\rm \angle 4=360-288\\\\\rm \angle 4=72[/tex]

Hence, the measure of the remaining angle is 72 degree.

To know more about trapezoid click the link given below.

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Answer: A) 72

Step-by-step explanation: I got it right

Answer:

the answer is b because that's the slope

Answer:

B

Step-by-step explanation:

you can try each answer or you can just use number of plants and divide it by number of seed packets which is 10 so B

Answer:

D

Step-by-step explanation:

sorry about last time 100% sure about this one

Answer: D, because y =mx + b

Answer:

f(2) = [tex]\frac{25}{8}[/tex]

Step-by-step explanation:

To evaluate f(2) substitute x = 2 into f(x) , that is

f(2) = [tex]\frac{1}{8}[/tex] × 5² = [tex]\frac{1}{8}[/tex] × 25 = [tex]\frac{25}{8}[/tex]

Answer:

24/8

Step-by-step explanation:

BIG BRAIN

Given:

3 times x plus 4 is greater than or equal to 4 times the sum of x and 1.

To find:

The inequality for the given statement and solution of the inequality.

Solution:

4 times the sum means a distributive property problem.

Now,

3 times x : 3x

3 times x plus 4 : 3x+4

Greater than or equal to : ≥

4 times the sum of x and 1 : 4(x+1)

So, the inequality is

[tex]3x+4\geq 4(x+1)[/tex]

Using distributive property, we get

[tex]3x+4\geq 4x+4[/tex]

Isolate variable terms.

[tex]4-4\geq 4x+3x[/tex]

[tex]0\geq x[/tex]

It can be written as

[tex]x\leq 0[/tex]

Therefore, the required inequality is [tex]3x+4\geq 4(x+1)[/tex] and the solution is [tex]x\leq 0[/tex].

Answer:

Yes

Step-by-step explanation:

It helps you to understand the equation easily

HOPE IT HELPED

Answer:

No this is not a function

Step-by-step explanation:

If you use the vertical line test which is just a line used across the graph. If we can draw any vertical line that intersects a graph more than once then it is not a function.

Answer: Inverse

Explanation: Any conditions that doesn't fit the requirement of the conditional statement would make the statement false, therefore it is inverse.

Answer: i think 130 and 80

Step-by-step explanation: sorry if wrong