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gladu [14]
3 years ago
13

Lottie has a bag of apples. she gives a quarter of them to fred. lottie gets hungry and eats 5 of them. now lottie has 7 more ap

ples than freddie. how many apples did lottie have at the start?
Mathematics
2 answers:
Kamila [148]3 years ago
7 0
The  answer would be 24.
NeTakaya3 years ago
6 0
X=lottie's aples

give 1/4 of them to fred
origianly had 4/4, but gave 1/4 away so now has (3/4)x
eats 5 of them
(3/4)x-5
now she has 7 more than fred (fred has (1/4)x

so

(3/4)x-5 is 7 more than (1/4)x
(3/4)x-5=7+(1/4)x
add 5 to both sides
(3/4)x=12+(1/4)x
minus (1/4)x from both sides
(2/4)x=12
(1/2)x=12
times 2/1 both sides
2/2x=24
x=24

she had 24 to begin with

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Four interior angles of a pentagon measure 156 degrees 72 degrees 98 degrees and 87 degrees. What is the measure of the final in
zepelin [54]

Answer:

127°

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180°(n - 2) ← n is the number of sides

here n = 5 ( Pentagon), hence

sum = 180° × 3 = 540°

To find the fifth angle subtract the sum of the 4 given angles from 540

angle = 540° - (156 + 72 + 98 + 87) = 540° - 413° = 127°


6 0
3 years ago
1. Thom has a scale model of his car. The
MariettaO [177]

x =\frac{4}{3}inch is the size in wheels on the scale model .

<u>Step-by-step explanation:</u>

Correct Question : Tom has a scale model of his car. The scale factor is 1 : 12. If the actual car has 16-inch wheels, what size are the wheels on the scale model?

We have , The scale factor is 1 : 12. We need to find If the actual car has 16-inch wheels, what size are the wheels on the scale model .Let's find out:

Ratio of size of wheels to actual size of wheels is 1:12 , but actual car has 16-inch wheels So ,

⇒ \frac{1}{12}  = \frac{x}{16}                 { x is size of wheel in scale model }

⇒ \frac{1(16)}{12}  = \frac{x}{16}(16)

⇒ x =\frac{16}{12}

⇒ x =\frac{4}{3}inch

Therefore , x =\frac{4}{3}inch is the size in wheels on the scale model .

5 0
3 years ago
An FM radio station broadcasts at 84 megahertz (MHz). What is the energy of each photon in Joule? Use h = 6.6 * 10 ^ (- 34) * j
iragen [17]

Answer:

E=5.544*10^{-26} J

Step-by-step explanation:

The equation for photon energy is given by:

E=hf

Where:

h=Planck\hspace{3}constant=6.6*10^{-34} \\f=Frequency\hspace{3}of\hspace{3}the\hspace{3}wave=84000000Hz

This equation telling us that the higher the frequency of the photon, the greater its energy. And the longer the photon wavelength, the lower its energy.

So, replacing the data provided in the previous equation:

E=(6.6*10^{-34} )*(84000000)=5.544*10^{-26} J

7 0
3 years ago
Please help it's due today. Also please don't help if you don't know.​
zavuch27 [327]

Answer:

{x}^{16}  {y}^{22}

Step-by-step explanation:

multiple the top exponents by 3 and the u subtract the bottoms

4 0
2 years ago
Find the perimeter of a square of whose diagonal measures 12cm
Schach [20]

check the picture below.


recall that in a square, all four sides are equal, therefore b = a.


so the perimeter is then 6√2 + 6√2 + 6√2 + 6√2, or 24√2.

6 0
3 years ago
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