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Levart [38]
3 years ago
8

rita is make chili the recipe calls for 2 3/4 cups of tomatoes. How many cups of tomatoes,written as a fraction greater than one

, are used in the recipe?
Mathematics
1 answer:
Burka [1]3 years ago
5 0
Given:
2 3/4 cups of tomatoes.

Number of cups of tomatoes written as a fraction greater than one.

2 3/4 is a mixed fraction. It is called such because it is a combination of a whole number and a fraction.

To find the number of cups of tomatoes written as fraction greater than 1, we need to convert the mixed fraction into an improper fraction.

Improper fraction is a fraction whose numerator is greater than its denominator.

2 3/4 ⇒ ((2*4)+3)/4 ⇒ (8+3)/4 ⇒ 11/4

11/4 is a fraction greater than one.

4/4 is a fraction that is equal to one.  So, any numerator that is greater than 4 is a fraction that is greater than one. In this case, it is 11/4.
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What is the value of r in the equation 4r − 8 = 5r + 12?<br><br> −20<br> −1<br> 1<br> 20
inn [45]

Answer

r = -20

Step-by-step explanation

4r-8=5r+12

subtract 4r from both sides of the equation

-8=r+12

subtract 12 from both sides of the equation

-20 = r

5 0
3 years ago
Read 2 more answers
In ΔXYZ, ∠X=82° and ∠Y=84°. ∠XWZ=90° and XY=97. Find the length of XW to the nearest integer.
ivanzaharov [21]

Check the picture below to the left, let's use those sides with the law of sines

\textit{Law of sines} \\\\ \cfrac{sin(\measuredangle A)}{a}=\cfrac{sin(\measuredangle B)}{b}=\cfrac{sin(\measuredangle C)}{c} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{sin(14^o)}{97}=\cfrac{sin(84^o)}{XZ}\implies XZ = \cfrac{97\cdot sin(84^o)}{sin(14^o)}\implies XZ \approx 398.76 \\\\\\ \stackrel{\textit{now using SOH CAH TOA}}{cos(82^o) = \cfrac{XW}{XZ}}\implies XZcos(82^o)=XW \\\\\\ 398.76cos(82^o)\approx XW\implies 55.497\approx XW\implies \stackrel{\textit{rounded up}}{55=XW}

7 0
2 years ago
What is the greatest common factor of 4k, 18k4, and 12? 2 4 2k 4k
photoshop1234 [79]

Answer:

Greatest Common Factor is 2

Step-by-step explanation:

Greatest Common Factor is the highest factor that will divide all the numbers. To find the Greatest common factor, first we need to find out the numbers that all the values have in common.

Factors of 4k=1, 2, 4 and k

Factors of 18k=1, 2 , 3, 6, 9, 18 and k

Factors of 12=1, 2, 3, 4, 6 and 12

Common factors are = 1 and 2.

Therefore,

Greatest Common Factor = 1\times2

                                           =2

8 0
3 years ago
Read 2 more answers
Find UV (Pic Stated Below)
natta225 [31]

Answer:

UV=29

Step-by-step explanation:

In right triangles AQB and AVB,

∠AQB = ∠AVB ...(i)  {Right angles}

∠QBA = ∠VBA ...(ii)  {Given that they are equal}

We know that sum of all three angles in a triangle is equal to 180 degree. So wee can write sum equation for each triangle


∠AQB+∠QBA+∠BAQ=180 ...(iii)

∠AVB+∠VBA+∠BAV=180 ...(iv)


using (iii) and (iv)

∠AQB+∠QBA+∠BAQ=∠AVB+∠VBA+∠BAV

∠AVB+∠VBA+∠BAQ=∠AVB+∠VBA+∠BAV  (using (i) and (ii))

∠BAQ=∠BAV...(v)


Now consider triangles AQB and AVB;

∠BAQ=∠BAV  {from (v)}

∠QBA = ∠VBA {from (ii)}

AB=AB  {common side}

So using ASA, triangles AQB and AVB are congruent.

We know that corresponding sides of congruent triangles are equal.

Hence

AQ=AV

5x+9=7x+1

9-1=7x-5x

8=2x

divide both sides by 2

4=x

Now plug value of x=4 into UV=7x+1

UV=7*4+1=28+1=29

<u>Hence UV=29 is final answer.</u>

7 0
3 years ago
The perimeter of the triangle with the sides measuring 15 inches, 18 inches, and 7 inches is 40 inches. If you wanted to constru
Arlecino [84]
The results in the question conclude that it is an isosceles triangle so your answer can vary; for example, your could be 10, 22, 18 which would make the perimeter 50 like the question states. So your answer will vary anyways you just have to remember that it is an isosceles triangle so all three sides will be a different length.
7 0
3 years ago
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