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3 years ago

5

At a football game, a vender sold a combined total of 219 sodas and hot dogs. The number of sodas sold was two times the number

of hot dogs sold. Find the number of sodas and the number of hot dogs sold.

1 answer:

STatiana [176]3 years ago

3 0

Answer:

73 Hot dogs, 146 sodas.

Step-by-step explanation:

Divide 219 into 3 parts what gives you 73. 2 of the 3 parts were Sodas 1 third was Hotdog.

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Can someone help me find the answers to this question

iVinArrow [24]

Answer should be b, not 100% sure

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3 years ago

The area of the sector formed by the 110 degree central angle is 50 units squared. What is the circumference of the circle

Mama L [17]

Answer:

The circumference of the circle is $C=45.346 \:units$ .

Step-by-step explanation:

A sector is the part of a circle enclosed by two radii of a circle and their intercepted arc. A pie-shaped part of a circle.

The area of a circle is given by $A_{circle}=\pi r^2$

The formula used to calculate the area of a sector of a circle is:

$A_{sector}=\frac{central \:angle}{360} \cdot {Area \:of \:whole \:circle}\\\\A_{sector}=\frac{\theta}{360} \cdot \pi r^2$

The circumference of a circle is the distance around the outside of the circle and its given by

$C=2\pi r$

We know the central angle $\theta$ = 110º and the area of the sector 50 units squared.

First, we use the formula to calculate the area of a sector to find the radius.

$50=\frac{110}{360} \cdot \pi r^2\\\\\frac{110}{360}\pi r^2=50\\\\\frac{11\pi }{36}r^2=50\\\\11\pi r^2=1800\\\\r^2=\frac{1800}{11\pi }\\\\\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\\\\r=\sqrt{\frac{1800}{11\pi }},\:r=-\sqrt{\frac{1800}{11\pi }}$

The radius can't be negative. Therefore,

$r=\sqrt{\frac{1800}{11\pi }}\approx 7.217 \:units$

Next, we apply the formula for the circumference of a circle.

$C=2\pi (7.217)=45.346 \:units$

7 0

3 years ago

A sample of an unknown liquid has a volume of 24.0ml and a mass of 6g. What is it’s density? Show your work.

Natalija [7]

Answer:

so density is measured in grams per cm³

but the data we have is grams and mL, but lucky for us, we can easily convert mL to cm³ but it is a bit tricky.

so you have to multiply the amount in mL by e and divide by $log_{x }x^{e}$

which means that you have to multiply by 1, (hard,i know)

so now you know that the given liquid is 6 grams per 24 cm³

so now, we will divide the amount in grams by the volume in cm³

6/24

= 1/4 grams per cm³

3 0

4 years ago

Help, please ? Thank you so much in advance and I'd appreciate it!

Darina [25.2K]

First you calculate the area of the big rectangle (ignoring the small one the bottom):

A1 = 10 x 6 = 60.

next you calculate the small one:

A2 = 2 x 2 = 4

Now you subtract the small one from the big one and you get:

Area of the figure = A1 - A2 = 60 - 4 = 56

7 0

3 years ago

Read 2 more answers

Write the ratio as a fraction in simplest form, with whole numbers in the numerator and denominator.

Effectus [21]

Answer:

2 : 5

Step-by-step explanation:

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3 years ago